the comprehensive latex symbol list - home | the university of
TRANSCRIPT
The Comprehensive LATEX Symbol List
Scott Pakin ltscott+clslpakinorggtlowast
19 January 2017
Abstract
This document lists 14283 symbols and the corresponding LATEX commands that produce themSome of these symbols are guaranteed to be available in every LATEX 2120576 system others require fontsand packages that may not accompany a given distribution and that therefore need to be installedAll of the fonts and packages used to prepare this documentmdashas well as this document itselfmdasharefreely available from the Comprehensive TEX Archive Network (httpwwwctanorg)
Contents
Contents 1
1 Introduction 1211 Document Usage 1212 Frequently Requested Symbols 12
2 Body-text symbols 14Table 1 LATEX 2120576 Escapable ldquoSpecialrdquo Characters 14Table 2 Predefined LATEX 2120576 Text-mode Commands 14Table 3 LATEX 2120576 Commands Defined to Work in Both Math and Text Mode 15Table 4 119964ℳ119982 Commands Defined to Work in Both Math and Text Mode 15Table 5 Non-ASCII Letters (Excluding Accented Letters) 15Table 6 textgreek Upright Greek Letters 15Table 7 Letters Used to Typeset African Languages 16Table 8 Letters Used to Typeset Vietnamese 16Table 9 Punctuation Marks Not Found in OT1 16Table 10 pifont Decorative Punctuation Marks 16Table 11 tipa Phonetic Symbols 17Table 12 tipx Phonetic Symbols 18Table 13 wsuipa Phonetic Symbols 19Table 14 wasysym Phonetic Symbols 19Table 15 phonetic Phonetic Symbols 19Table 16 t4phonet Phonetic Symbols 20Table 17 semtrans Transliteration Symbols 20Table 18 Text-mode Accents 20Table 19 tipa Text-mode Accents 21Table 20 extraipa Text-mode Accents 22Table 21 wsuipa Text-mode Accents 22Table 22 phonetic Text-mode Accents 23Table 23 metre Text-mode Accents 23Table 24 t4phonet Text-mode Accents 23Table 25 arcs Text-mode Accents 23Table 26 semtrans Accents 24Table 27 ogonek Accents 24
lowastThe original version of this document was written by David Carlisle with several additional tables provided by Alexan-der Holt See Section 108 on page 230 for more information about who did what
1
Table 28 combelow Accents 24Table 29 wsuipa Diacritics 24Table 30 textcomp Diacritics 24Table 31 marvosym Diacritics 25Table 32 textcomp Currency Symbols 25Table 33 marvosym Currency Symbols 25Table 34 fontawesome Currency Symbols 25Table 35 wasysym Currency Symbols 25Table 36 ChinA2e Currency Symbols 26Table 37 teubner Currency Symbols 26Table 38 tfrupee Currency Symbols 26Table 39 eurosym Euro Signs 26Table 40 fourier Euro Signs 26Table 41 textcomp Legal Symbols 26Table 42 fontawesome Legal Symbols 26Table 43 cclicenses Creative Commons License Icons 27Table 44 ccicons Creative Commons License Icons 27Table 45 textcomp Old-style Numerals 27Table 46 Miscellaneous textcomp Symbols 27Table 47 Miscellaneous wasysym Text-mode Symbols 27
3 Mathematical symbols 28Table 48 Math-Mode Versions of Text Symbols 28Table 49 cmll Unary Operators 28Table 50 Binary Operators 29Table 51 119964ℳ119982 Binary Operators 29Table 52 stmaryrd Binary Operators 29Table 53 wasysym Binary Operators 30Table 54 txfontspxfonts Binary Operators 30Table 55 mathabx Binary Operators 30Table 56 MnSymbol Binary Operators 30Table 57 fdsymbol Binary Operators 31Table 58 boisik Binary Operators 32Table 59 stix Binary Operators 33Table 60 mathdesign Binary Operators 33Table 61 cmll Binary Operators 34Table 62 shuffle Binary Operators 34Table 63 ulsy Geometric Binary Operators 34Table 64 mathabx Geometric Binary Operators 34Table 65 MnSymbol Geometric Binary Operators 35Table 66 fdsymbol Geometric Binary Operators 35Table 67 boisik Geometric Binary Operators 36Table 68 stix Geometric Binary Operators 37Table 69 halloweenmath Halloween-Themed Math Operators 37Table 70 stix Small Integrals 38Table 71 stix Small Integrals with Explicit Slant 38Table 72 Variable-sized Math Operators 39Table 73 119964ℳ119982 Variable-sized Math Operators 39Table 74 stmaryrd Variable-sized Math Operators 39Table 75 wasysym Variable-sized Math Operators 39Table 76 mathabx Variable-sized Math Operators 40Table 77 txfontspxfonts Variable-sized Math Operators 41Table 78 esint Variable-sized Math Operators 42Table 79 bigints Variable-sized Math Operators 42Table 80 MnSymbol Variable-sized Math Operators 43Table 81 fdsymbol Variable-sized Math Operators 43Table 82 boisik Variable-sized Math Operators 44Table 83 stix Variable-sized Math Operators 45
2
Table 84 stix Integrals with Explicit Slant 46Table 85 mathdesign Variable-sized Math Operators 47Table 86 prodint Variable-sized Math Operators 48Table 87 cmll Large Math Operators 48Table 88 Binary Relations 48Table 89 119964ℳ119982 Binary Relations 48Table 90 119964ℳ119982 Negated Binary Relations 49Table 91 stmaryrd Binary Relations 49Table 92 wasysym Binary Relations 49Table 93 txfontspxfonts Binary Relations 49Table 94 txfontspxfonts Negated Binary Relations 49Table 95 mathabx Binary Relations 50Table 96 mathabx Negated Binary Relations 50Table 97 MnSymbol Binary Relations 50Table 98 MnSymbol Negated Binary Relations 52Table 99 fdsymbol Binary Relations 53Table 100 fdsymbol Negated Binary Relations 54Table 101 boisik Binary Relations 55Table 102 boisik Negated Binary Relations 55Table 103 stix Binary Relations 56Table 104 stix Negated Binary Relations 57Table 105 mathtools Binary Relations 57Table 106 turnstile Binary Relations 58Table 107 trsym Binary Relations 59Table 108 trfsigns Binary Relations 59Table 109 cmll Binary Relations 59Table 110 colonequals Binary Relations 59Table 111 fourier Binary Relations 59Table 112 Subset and Superset Relations 59Table 113 119964ℳ119982 Subset and Superset Relations 60Table 114 stmaryrd Subset and Superset Relations 60Table 115 wasysym Subset and Superset Relations 60Table 116 txfontspxfonts Subset and Superset Relations 60Table 117 mathabx Subset and Superset Relations 60Table 118 MnSymbol Subset and Superset Relations 61Table 119 fdsymbol Subset and Superset Relations 61Table 120 boisik Subset and Superset Relations 61Table 121 stix Subset and Superset Relations 62Table 122 Inequalities 62Table 123 119964ℳ119982 Inequalities 62Table 124 wasysym Inequalities 63Table 125 txfontspxfonts Inequalities 63Table 126 mathabx Inequalities 63Table 127 MnSymbol Inequalities 64Table 128 fdsymbol Inequalities 65Table 129 boisik Inequalities 66Table 130 stix Inequalities 66Table 131 119964ℳ119982 Triangle Relations 67Table 132 stmaryrd Triangle Relations 67Table 133 mathabx Triangle Relations 67Table 134 MnSymbol Triangle Relations 68Table 135 fdsymbol Triangle Relations 69Table 136 boisik Triangle Relations 69Table 137 stix Triangle Relations 69Table 138 Arrows 70Table 139 Harpoons 70Table 140 textcomp Text-mode Arrows 70Table 141 119964ℳ119982 Arrows 70
3
Table 142 119964ℳ119982 Negated Arrows 70Table 143 119964ℳ119982 Harpoons 70Table 144 stmaryrd Arrows 71Table 145 txfontspxfonts Arrows 71Table 146 mathabx Arrows 71Table 147 mathabx Negated Arrows 71Table 148 mathabx Harpoons 72Table 149 MnSymbol Arrows 72Table 150 MnSymbol Negated Arrows 73Table 151 MnSymbol Harpoons 75Table 152 MnSymbol Negated Harpoons 75Table 153 fdsymbol Arrows 76Table 154 fdsymbol Negated Arrows 77Table 155 fdsymbol Harpoons 79Table 156 fdsymbol Negated Harpoons 80Table 157 boisik Arrows 80Table 158 boisik Negated Arrows 81Table 159 boisik Harpoons 81Table 160 stix Arrows 82Table 161 stix Negated Arrows 84Table 162 stix Harpoons 84Table 163 harpoon Extensible Harpoons 85Table 164 chemarrow Arrows 85Table 165 fge Arrows 85Table 166 old-arrows Arrows 85Table 167 old-arrows Harpoons 86Table 168 esrelation Restrictions 86Table 169 MnSymbol Spoons 86Table 170 MnSymbol Pitchforks 86Table 171 MnSymbol Smiles and Frowns 87Table 172 fdsymbol Spoons 87Table 173 fdsymbol Pitchforks 88Table 174 fdsymbol Smiles and Frowns 88Table 175 ulsy Contradiction Symbols 88Table 176 Extension Characters 88Table 177 stmaryrd Extension Characters 88Table 178 txfontspxfonts Extension Characters 88Table 179 mathabx Extension Characters 88Table 180 stix Extension Characters 89Table 181 Log-like Symbols 89Table 182 119964ℳ119982 Log-like Symbols 89Table 183 ChinA2e Number Sets 89Table 184 Greek Letters 90Table 185 119964ℳ119982 Greek Letters 90Table 186 txfontspxfonts Upright Greek Letters 91Table 187 upgreek Upright Greek Letters 91Table 188 fourier Variant Greek Letters 91Table 189 txfontspxfonts Variant Latin Letters 92Table 190 boisik Variant Greek Letters 92Table 191 boisik Variant Latin Letters 92Table 192 stix Variant Greek Letters 92Table 193 stix Transformed Greek Letters 92Table 194 119964ℳ119982 Hebrew Letters 92Table 195 MnSymbol Hebrew Letters 92Table 196 fdsymbol Hebrew Letters 92Table 197 boisik Hebrew Letters 92Table 198 stix Hebrew Letters 93Table 199 Letter-like Symbols 93
4
Table 200 119964ℳ119982 Letter-like Symbols 93Table 201 txfontspxfonts Letter-like Symbols 93Table 202 mathabx Letter-like Symbols 93Table 203 MnSymbol Letter-like Symbols 93Table 204 fdsymbol Letter-like Symbols 94Table 205 boisik Letter-like Symbols 94Table 206 stix Letter-like Symbols 94Table 207 trfsigns Letter-like Symbols 94Table 208 mathdesign Letter-like Symbols 94Table 209 fge Letter-like Symbols 94Table 210 fourier Letter-like Symbols 95Table 211 cmll Letter-like Symbols 95Table 212 119964ℳ119982 Delimiters 95Table 213 stmaryrd Delimiters 95Table 214 mathabx Delimiters 95Table 215 boisik Delimiters 95Table 216 stix Delimiters 95Table 217 nath Delimiters 95Table 218 Variable-sized Delimiters 96Table 219 Large Variable-sized Delimiters 96Table 220 119964ℳ119982 Variable-sized Delimiters 96Table 221 stmaryrd Variable-sized Delimiters 96Table 222 mathabx Variable-sized Delimiters 97Table 223 MnSymbol Variable-sized Delimiters 97Table 224 fdsymbol Variable-sized Delimiters 98Table 225 stix Variable-sized Delimiters 99Table 226 mathdesign Variable-sized Delimiters 100Table 227 nath Variable-sized Delimiters (Double) 101Table 228 nath Variable-sized Delimiters (Triple) 101Table 229 fourier Variable-sized Delimiters 101Table 230 textcomp Text-mode Delimiters 101Table 231 metre Text-mode Delimiters 102Table 232 Math-mode Accents 102Table 233 119964ℳ119982 Math-mode Accents 102Table 234 MnSymbol Math-mode Accents 102Table 235 fdsymbol Math-mode Accents 103Table 236 boisik Math-mode Accents 103Table 237 stix Math-mode Accents 103Table 238 fge Math-mode Accents 103Table 239 yhmath Math-mode Accents 103Table 240 Extensible Accents 104Table 241 overrightarrow Extensible Accents 104Table 242 yhmath Extensible Accents 104Table 243 119964ℳ119982 Extensible Accents 104Table 244 MnSymbol Extensible Accents 105Table 245 fdsymbol Extensible Accents 105Table 246 stix Extensible Accents 105Table 247 mathtools Extensible Accents 106Table 248 mathabx Extensible Accents 106Table 249 fourier Extensible Accents 106Table 250 esvect Extensible Accents 106Table 251 abraces Extensible Accents 107Table 252 undertilde Extensible Accents 107Table 253 ushort Extensible Accents 107Table 254 mdwmath Extensible Accents 107Table 255 actuarialangle Extensible Accents 107Table 256 119964ℳ119982 Extensible Arrows 107Table 257 mathtools Extensible Arrows 108
5
Table 258 chemarr Extensible Arrows 108Table 259 chemarrow Extensible Arrows 108Table 260 extarrows Extensible Arrows 108Table 261 extpfeil Extensible Arrows 109Table 262 DotArrow Extensible Arrows 109Table 263 halloweenmath Extensible Arrows 109Table 264 trfsigns Extensible Transform Symbols 109Table 265 esrelation Extensible Relations 109Table 266 halloweenmath Extensible Witches 110Table 267 halloweenmath Extensible Ghosts 110Table 268 holtpolt Non-commutative Division Symbols 110Table 269 Dots 110Table 270 119964ℳ119982 Dots 111Table 271 wasysym Dots 111Table 272 MnSymbol Dots 111Table 273 fdsymbol Dots 111Table 274 stix Dots 112Table 275 mathdots Dots 112Table 276 yhmath Dots 112Table 277 teubner Dots 112Table 278 begriff Begriffsschrift Symbols 112Table 279 frege Begriffsschrift Symbols 113Table 280 mathcomp Math Symbols 113Table 281 marvosym Math Symbols 113Table 282 marvosym Digits 113Table 283 fge Digits 113Table 284 dozenal Base-12 Digits 113Table 285 mathabx Mayan Digits 113Table 286 stix Infinities 114Table 287 stix Primes 114Table 288 stix Empty Sets 114Table 289 119964ℳ119982 Angles 114Table 290 MnSymbol Angles 114Table 291 fdsymbol Angles 114Table 292 boisik Angles 114Table 293 stix Angles 115Table 294 Miscellaneous LATEX 2120576 Math Symbols 115Table 295 Miscellaneous 119964ℳ119982 Math Symbols 115Table 296 Miscellaneous wasysym Math Symbols 115Table 297 Miscellaneous txfontspxfonts Math Symbols 115Table 298 Miscellaneous mathabx Math Symbols 116Table 299 Miscellaneous MnSymbol Math Symbols 116Table 300 Miscellaneous Internal MnSymbol Math Symbols 116Table 301 Miscellaneous fdsymbol Math Symbols 116Table 302 Miscellaneous boisik Math Symbols 117Table 303 Miscellaneous stix Math Symbols 117Table 304 Miscellaneous textcomp Text-mode Math Symbols 117Table 305 Miscellaneous fge Math Symbols 118Table 306 Miscellaneous mathdesign Math Symbols 118Table 307 Math Alphabets 119
4 Science and technology symbols 121Table 308 gensymb Symbols Defined to Work in Both Math and Text Mode 121Table 309 wasysym Electrical and Physical Symbols 121Table 310 ifsym Pulse Diagram Symbols 121Table 311 ar Aspect Ratio Symbol 121Table 312 textcomp Text-mode Science and Engineering Symbols 121Table 313 steinmetz Extensible Phasor Symbol 122
6
Table 314 emf Electromotive Force Symbols 122Table 315 wasysym Astronomical Symbols 122Table 316 marvosym Astronomical Symbols 122Table 317 fontawesome Astronomical Symbols 123Table 318 mathabx Astronomical Symbols 123Table 319 stix Astronomical Symbols 123Table 320 starfont Astronomical Symbols 124Table 321 wasysym APL Symbols 124Table 322 stix APL Symbols 124Table 323 apl APL Symbols 125Table 324 marvosym Computer Hardware Symbols 125Table 325 keystroke Computer Keys 125Table 326 ascii Control Characters (CP437) 126Table 327 logic Logic Gates 126Table 328 marvosym Communication Symbols 126Table 329 marvosym Engineering Symbols 127Table 330 wasysym Biological Symbols 127Table 331 stix Biological Symbols 127Table 332 marvosym Biological Symbols 127Table 333 fontawesome Biological Symbols 127Table 334 marvosym Safety-related Symbols 127Table 335 feyn Feynman Diagram Symbols 128Table 336 svrsymbols Physics Ideograms 128
5 Dingbats 130Table 337 bbding Arrows 130Table 338 pifont Arrows 130Table 339 adfsymbols Arrows 130Table 340 adforn Arrows 131Table 341 arev Arrows 131Table 342 fontawesome Arrows 131Table 343 fontawesome Chevrons 131Table 344 marvosym Scissors 131Table 345 bbding Scissors 131Table 346 pifont Scissors 131Table 347 dingbat Pencils 132Table 348 arev Pencils 132Table 349 fontawesome Pencils 132Table 350 bbding Pencils and Nibs 132Table 351 pifont Pencils and Nibs 132Table 352 dingbat Fists 132Table 353 bbding Fists 132Table 354 pifont Fists 132Table 355 fourier Fists 133Table 356 arev Fists 133Table 357 fontawesome Fists 133Table 358 bbding Crosses and Plusses 133Table 359 pifont Crosses and Plusses 133Table 360 adfsymbols Crosses and Plusses 133Table 361 arev Crosses 133Table 362 bbding Xs and Check Marks 133Table 363 pifont Xs and Check Marks 134Table 364 wasysym Xs and Check Marks 134Table 365 marvosym Xs and Check Marks 134Table 366 arev Xs and Check Marks 134Table 367 fontawesome Xs and Check Marks 134Table 368 pifont Circled Numerals 134Table 369 wasysym Stars 135
7
Table 370 bbding Stars Flowers and Similar Shapes 135Table 371 pifont Stars Flowers and Similar Shapes 135Table 372 adfsymbols Stars Flowers and Similar Shapes 135Table 373 adforn Stars 135Table 374 fontawesome Stars 136Table 375 fourier Fleurons and Flowers 136Table 376 adforn Fleurons and Flowers 136Table 377 wasysym Geometric Shapes 136Table 378 MnSymbol Geometric Shapes 136Table 379 fdsymbol Geometric Shapes 137Table 380 boisik Geometric Shapes 137Table 381 stix Geometric Shapes 137Table 382 ifsym Geometric Shapes 139Table 383 bbding Geometric Shapes 139Table 384 pifont Geometric Shapes 140Table 385 universa Geometric Shapes 140Table 386 adfsymbols Geometric Shapes 140Table 387 fontawesome Geometric Shapes 140Table 388 LATEX 2120576 Playing-Card Suits 140Table 389 txfontspxfonts Playing-Card Suits 140Table 390 MnSymbol Playing-Card Suits 140Table 391 fdsymbol Playing-Card Suits 140Table 392 boisik Playing-Card Suits 140Table 393 stix Playing-Card Suits 141Table 394 arev Playing-Card Suits 141Table 395 adforn Flourishes 141Table 396 Miscellaneous dingbat Dingbats 141Table 397 Miscellaneous bbding Dingbats 141Table 398 Miscellaneous pifont Dingbats 141Table 399 Miscellaneous adforn Dingbats 141
6 Ancient languages 142Table 400 phaistos Symbols from the Phaistos Disk 142Table 401 protosem Proto-Semitic Characters 142Table 402 hieroglf Hieroglyphics 143Table 403 linearA Linear A Script 143Table 404 linearb Linear B Basic and Optional Letters 146Table 405 linearb Linear B Numerals 146Table 406 linearb Linear B Weights and Measures 146Table 407 linearb Linear B Ideograms 147Table 408 linearb Unidentified Linear B Symbols 147Table 409 cypriot Cypriot Letters 147Table 410 sarabian South Arabian Letters 148Table 411 teubner Archaic Greek Letters and Greek Numerals 148Table 412 boisik Archaic Greek Letters and Greek Numerals 148Table 413 epiolmec Epi-Olmec Script 148Table 414 epiolmec Epi-Olmec Numerals 150Table 415 allrunes Runes 151Table 416 allrunes Rune Separators 151
7 Musical symbols 152Table 417 LATEX 2120576 Musical Symbols 152Table 418 textcomp Musical Symbols 152Table 419 wasysym Musical Symbols 152Table 420 MnSymbol Musical Symbols 152Table 421 fdsymbol Musical Symbols 152Table 422 boisik Musical Symbols 152Table 423 stix Musical Symbols 152
8
Table 424 arev Musical Symbols 152Table 425 MusiXTEX Musical Symbols 153Table 426 MusiXTEX Alternative Clefs 154Table 427 harmony Musical Symbols 154Table 428 harmony Musical Accents 154
Table 429 lilylyp s Single Notes 155
Table 430 lilylyp s Beamed Notes 155
Table 431 lilylyp s Clefs 156
Table 432 lilylyp s Time Signatures 156
Table 433 lilylyp s Accidentals 156
Table 434 lilylyp s Rests 156
Table 435 lilylyp s Dynamics Letters 157
Table 436 lilylyp s Dynamics Symbols 157
Table 437 lilylyp s Articulations 157
Table 438 lilylyp s Scripts 157
Table 439 lilylyp s Accordion Notation 157
Table 440 lilylyp s Named Time Signatures 158
Table 441 lilylyp s Named Scripts 158
Table 442 lilylyp s Named Rests 159
Table 443 lilylyp s Named Pedals 159
Table 444 lilylyp s Named Flags 160
Table 445 lilylyp s Named Custodes 160
Table 446 lilylyp s Named Clefs 161
Table 447 lilylyp s Named Noteheads 162
Table 448 lilylyp s Named Accordion Symbols 166
Table 449 lilylyp s Named Accidentals 167
Table 450 lilylyp s Named Arrowheads 167
Table 451 lilylyp s Named Alphanumerics and Punctuation 168
Table 452 Miscellaneous lilylyp s Named Musical Symbols 168
8 Other symbols 169Table 453 textcomp Genealogical Symbols 169Table 454 wasysym General Symbols 169Table 455 manfnt Dangerous Bend Symbols 169Table 456 Miscellaneous manfnt Symbols 169Table 457 marvosym Media Control Symbols 169Table 458 marvosym Laundry Symbols 170Table 459 marvosym Information Symbols 170Table 460 Other marvosym Symbols 170Table 461 Miscellaneous universa Symbols 170Table 462 Miscellaneous fourier Symbols 170Table 463 ifsym Weather Symbols 171Table 464 ifsym Alpine Symbols 171Table 465 ifsym Clocks 171Table 466 Other ifsym Symbols 171Table 467 clock Clocks 172Table 468 epsdice Dice 172Table 469 hhcount Dice 172Table 470 stix Dice 172Table 471 bullcntr Tally Markers 173Table 472 hhcount Tally Markers 173
9
Table 473 dozenal Tally Markers 173Table 474 skull Symbols 174Table 475 Non-Mathematical mathabx Symbols 174Table 476 skak Chess Informator Symbols 174Table 477 skak Chess Pieces and Chessboard Squares 175Table 478 igo Go Symbols 175Table 479 go Go Symbols 176Table 480 metre Metrical Symbols 176Table 481 metre Small and Large Metrical Symbols 176Table 482 teubner Metrical Symbols 177Table 483 dictsym Dictionary Symbols 177Table 484 simpsons Characters from The Simpsons 177Table 485 pmboxdraw Box-Drawing Symbols 178Table 486 staves Magical Staves 178Table 487 pigpen Cipher Symbols 179Table 488 ChinA2e Phases of the Moon 179Table 489 ChinA2e Recycling Symbols 179Table 490 marvosym Recycling Symbols 180Table 491 recycle Recycling Symbols 180Table 492 Other ChinA2e Symbols 180Table 493 soyombo Soyombo Symbols 180Table 494 knitting Knitting Symbols 181Table 495 CountriesOfEurope Country Maps 181Table 496 Miscellaneous arev Symbols 183Table 497 cookingsymbols Cooking Symbols 183Table 498 tikzsymbols Cooking Symbols 184Table 499 tikzsymbols Emoticons 184Table 500 tikzsymbols 3D Emoticons 184Table 501 tikzsymbols Trees 184Table 502 Miscellaneous tikzsymbols Symbols 185Table 503 Miscellaneous bclogo Symbols 185Table 504 fontawesome Web-Related Icons 186Table 505 rubikcube Rubikrsquos Cube Rotations 190
9 Fonts with minimal LATEX support 191Table 506 hands Fists 191Table 507 greenpoint Recycling Symbols 191Table 508 nkarta Map Symbols 191Table 509 moonphase Astronomical Symbols 193Table 510 astrosym Astronomical Symbols 193Table 511 webomints Decorative Borders 196Table 512 umranda Decorative Borders 197Table 513 umrandb Decorative Borders 198Table 514 dingbat Decorative Borders 199Table 515 knot Celtic Knots 199Table 516 dancers Dancing Men 203Table 517 semaphor Semaphore Alphabet 205Table 518 cryst Crystallography Symbols 207Table 519 dice Dice 208Table 520 magic Trading Card Symbols 209Table 521 bartel-chess-fonts Chess Pieces and Chessboard Squares 209
10 Additional Information 211101 Symbol Name Clashes 211102 Resizing symbols 211103 Where can I find the symbol for 211104 Math-mode spacing 224105 Bold mathematical symbols 224
10
106 ASCII and Latin 1 quick reference 225107 Unicode characters 228108 About this document 230109 Copyright and license 232
References 233
Index 234
11
1 Introduction
Welcome to the Comprehensive LATEX Symbol List This document strives to be your primary source ofLATEX symbol information font samples LATEX commands packages usage details caveatsmdasheverythingneeded to put thousands of different symbols at your disposal All of the fonts covered herein meet thefollowing criteria
1 They are freely available from the Comprehensive TEX Archive Network (httpwwwctanorg)
2 All of their symbols have LATEX 2120576 bindings That is a user should be able to access a symbol byname (eg bigtriangleup)
As of version 12 of the Comprehensive LATEX Symbol List that second restriction has been relaxed withthe inclusion of Section 9 which showcases fonts that provide at a minimum either TEX font-metricfiles (tfm) or the METAFONT sources (mf) that produce those font-metric files Some of the Section 9fonts do include LATEX font-definition files (fd) However what sets the fonts in Section 9 apart fromthe fonts in rest of the document is that they lack a LATEX style file (sty) that individually names eachof the glyphs
The restrictions listed above are not particularly limiting criteria the Comprehensive LATEX SymbolList contains samples of 14283 symbolsmdashquite a large number Some of these symbols are guaran-teed to be available in every LATEX 2120576 system others require fonts and packages that may not accom-pany a given distribution and that therefore need to be installed See httpwwwtexacukcgi-bintexfaq2htmllabel=instpackages+wherefiles for help with installing new fonts and packages
11 Document Usage
Each section of this document contains a number of font tables Each table shows a set of symbolswith the corresponding LATEX command to the right of each symbol A tablersquos caption indicates whatpackage needs to be loaded in order to access that tablersquos symbols For example the symbols in Ta-ble 45 ldquotextcomp Old-Style Numeralsrdquo are made available by putting ldquousepackagetextcomprdquo inyour documentrsquos preamble ldquo119964ℳ119982rdquo means to use the 119964ℳ119982 packages viz amssymb andor amsmathNotes below a table provide additional information about some or all the symbols in that table
One note that appears a few times in this document particularly in Section 2 indicates that certainsymbols do not exist in the OT1 font encoding (Donald Knuthrsquos original 7-bit font encoding which is thedefault font encoding for LATEX) and that you should use fontenc to select a different encoding such as T1(a common 8-bit font encoding) That means that you should put ldquousepackage[⟨encoding⟩]fontencrdquoin your documentrsquos preamble where ⟨encoding⟩ is eg T1 or LY1 To limit the change in font encodingto the current group use ldquofontencoding⟨encoding⟩selectfontrdquo
Section 10 contains some additional information about the symbols in this document It discusseshow certain mathematical symbols can vary in height shows which symbol names are not unique acrosspackages gives examples of how to create new symbols out of existing symbols explains how symbolsare spaced in math mode compares various schemes for boldfacing symbols presents LATEX ASCII andLatin 1 tables shows how to input and output Unicode characters and provides some information aboutthis document itself The Comprehensive LATEX Symbol List ends with an index of all the symbols inthe document and various additional useful terms
12 Frequently Requested Symbols
There are a number of symbols that are requested over and over again on comptexttex If yoursquorelooking for such a symbol the following list will help you find it quickly
as in ldquoSpaces are significantrdquo 14
ı ı ı ı ı etc (versus i i i i and i) 20
cent 25
e 25
copy reg and trade 26
permil 27
41
there4 48
B and F 49
and amp 62
112
deg as in ldquo180degrdquo or ldquo15rdquo 117
12
ℒ ℱ etc 119
N Z R etc 119
r 119
minusint
217
acutea `e etc (ie several accents per character)219
lt gt and | (instead of iexcl iquest and mdash) 226
^ and ˜ (or sim) 226
13
2 Body-text symbols
This section lists symbols that are intended for use in running text such as punctuation marksaccents ligatures and currency symbols
Table 1 LATEX 2120576 Escapable ldquoSpecialrdquo Characters
$ $ _ amp amp
The underscore package redefines ldquo_rdquo to produce an underscore in text mode(ie it makes it unnecessary to escape the underscore character)
Table 2 Predefined LATEX 2120576 Text-mode Commands
^ textasciicircum lt textless
˜ textasciitilde a ordf textordfeminine
lowast textasteriskcentered o ordm textordmasculine
∖ textbackslash para para textparagraphdagger
| textbar middot middot textperiodcentered
textbardbl textpertenthousand
textbigcircle permil textperthousand
textbraceleftdagger iquest textquestiondown
textbracerightdagger ldquo textquotedblleft
∙ bull textbullet rdquo textquotedblright
c copy textcopyrightdagger lsquo textquoteleft
dagger dagger textdaggerdagger rsquo textquoteright
Dagger Dagger textdaggerdbldagger r reg textregistered
$ $ textdollardagger S sect textsectiondagger
textellipsisdagger $ $ textsterlingdagger
mdash textemdash TM trade texttrademark
ndash textendash textunderscoredagger
iexcl textexclamdown textvisiblespace
gt textgreater
The first symbol column represents themdashsometimes ldquofakedrdquomdashsymbol thatLATEX 2120576 provides by default The second symbol column represents the sym-bol as redefined by textcomp (if textcomp redefines it) The textcomp packageis generally required to typeset Table 2rsquos symbols in italic and some symbolsadditionally require the T1 font encoding for italic
^ and ~ can be used instead of textasciicircum andtextasciitilde See the discussion of ldquo˜rdquo on page 226
dagger Itrsquos generally preferable to use the corresponding symbol from Table 3 on thefollowing page because the symbols in that table work properly in both textmode and math mode
14
Table 3 LATEX 2120576 Commands Defined to Work in Both Math and Text Mode
_ Dagger Dagger ddag $ pounds
c copy copyright dots S sect S
$ $ $ dagger dagger dag para para P
The first symbol column represents themdashsometimes ldquofakedrdquomdashsymbol thatLATEX 2120576 provides by default The second symbol column represents the sym-bol as redefined by textcomp (if textcomp redefines it) The textcomp packageis generally required to typeset Table 3rsquos symbols in italic and some symbolsadditionally require the T1 font encoding for italic
Table 4 119964ℳ119982 Commands Defined to Work in Both Math and Text Mode
X checkmark r circledR z maltese
Table 5 Non-ASCII Letters (Excluding Accented Letters)
a aa ETH DH L L oslash o thorn th
A AA ETH DJ l l œ oe THORN TH
AElig AE đ dj Ŋ NG Œ OE
aelig ae IJ IJ ŋ ng szlig ss
eth dh ij ij Oslash O SS SS
Not available in the OT1 font encoding Use the fontenc package to select analternate font encoding such as T1
Table 6 textgreek Upright Greek Letters
α textalpha η texteta ν textnu τ texttau
β textbeta θ texttheta ξ textxi υ textupsilon
γ textgamma ι textiota ο textomikron φ textphi
δ textdelta κ textkappa π textpi χ textchi
ε textepsilon λ textlambda ρ textrho ψ textpsi
ζ textzeta μ textmu σ textsigma ω textomega
Α textAlpha Η textEta Ν textNu Τ textTau
Β textBeta Θ textTheta Ξ textXi Υ textUpsilon
Γ textGamma Ι textIota Ο textOmikron Φ textPhi
Δ textDelta Κ textKappa Π textPi Χ textChi
Ε textEpsilon Λ textLambda Ρ textRho Ψ textPsi
Ζ textZeta Μ textMu Σ textSigma Ω textOmega
Synonyms for textmu include textmicro and textmugreek
textgreek tries to use a Greek font that matches the body text As a resultthe glyphs may appear slightly different from the above
Unlike upgreek (Table 187 on page 91) textgreek works in text mode
The symbols in this table are intended to be used sporadically throughout adocument (eg in phrases such as ldquoβ-decayrdquo) In contrast Greek body textcan be typeset using the babel packagersquos greek (or polutonikogreek) optionmdashand of course a font that provides the glyphs for the Greek alphabet
15
Table 7 Letters Used to Typeset African Languages
ETH BD deg mc curren mf uml mk raquo Mt mZ
Bd mD mF mN MT Acirc TE
BH eth Md mG shy mn ordm mt acirc Te
sect Bh ETH MD brvbar mg ordf mo mT Aring TO
middot Bt iexcl md Agrave mI mO reg mu aring To
BT mE agrave mi mP mU
mb cent me mJ plusmn mp mY
mB ME copy mj not ms macr my
mC pound Me mK mS para mz
These characters all need the T4 font encoding which is provided by the fcpackage
mv and mV are synonyms for mu and mU
Table 8 Letters Used to Typeset Vietnamese
Ơ OHORN ơ ohorn Ư UHORN ư uhorn
These characters all need the T5 font encoding which is provided by the vntexpackage
Table 9 Punctuation Marks Not Found in OT1
laquo guillemotleft lsaquo guilsinglleft bdquo quotedblbase textquotedbl
raquo guillemotright rsaquo guilsinglright sbquo quotesinglbase
To get these symbols use the fontenc package to select an alternate font en-coding such as T1
Table 10 pifont Decorative Punctuation Marks
ding123 ding125 iexcl ding161 pound ding163
| ding124 ~ ding126 cent ding162
16
Table 11 tipa Phonetic Symbols
Egrave textbabygamma P textglotstop iuml textrtailn
b textbarb texthalflength oacute textrtailr
c textbarc ż texthardsign ugrave textrtails
d textbard texthooktop uacute textrtailt
eacute textbardotlessj aacute texthtb uuml textrtailz
g textbarg ecirc texthtbardotlessj $ textrthook
Uuml textbarglotstop Aacute texthtc Agrave textsca
1 textbari acirc texthtd agrave textscb
ł textbarl auml texthtg ď textsce
8 textbaro H texthth aring textscg
Yacute textbarrevglotstop Ecirc texththeng Euml textsch
0 textbaru Icirc texthtk textschwa
igrave textbeltl Ograve texthtp I textsci
β textbeta Oacute texthtq ĺ textscj
ograve textbullseye č texthtrtaild Iuml textscl
textceltpal Eacute texthtscg eth textscn
χ textchi Ouml texthtt Œ textscoelig
Aring textcloseepsilon szlig texthvlig ś textscomega
Ntilde textcloseomega Ucirc textinvglotstop ouml textscr
AElig textcloserevepsilon K textinvscr A textscripta
THORN textcommatailz ι textiota g textscriptg
^ textcorner λ textlambda V textscriptv
ă textcrb textlengthmark Uacute textscu
ą textcrd ş textlhookt Y textscy
g textcrg ę textlhtlongi shy textsecstress
egrave textcrh ű textlhtlongy ž textsoftsign
Ucirc textcrinvglotstop Ocirc textlonglegr Acirc textstretchc
ň textcrlambda iexcl textlptr tC texttctclig
2 textcrtwo M textltailm Ugrave textteshlig
C textctc ntilde textltailn θ texttheta
ć textctd euml textltilde thorn textthorn
ćyacute textctdctzlig ETH textlyoghlig pound texttoneletterstem
š textctesh Iacute textObardotlessj ţ texttslig
J textctj ŋ textOlyoghlig 5 textturna
ő textctn ω textomega ŕ textturncelig
ť textctt _ textopencorner 4 textturnh
ťC textcttctclig O textopeno ľ textturnk
yuml textctyogh textpalhook Otilde textturnlonglegr
yacute textctz φ textphi W textturnm
dyacute textdctzlig | textpipe icirc textturnmrleg
S textdoublebaresh textprimstress ocirc textturnr
textdoublebarpipe ij textraiseglotstop otilde textturnrrtail
= textdoublebarslash ğ textraisevibyi 6 textturnscripta
textdoublepipe 7 textramshorns Oslash textturnt
Ş textdoublevertline textrevapostrophe 2 textturnv
Ť textdownstep 9 textreve ucirc textturnw
Atilde textdyoghlig 3 textrevepsilon L textturny
dz textdzlig Q textrevglotstop υ textupsilon
ε textepsilon ź textrevyogh Ţ textupstep
S textesh Ccedil textrhookrevepsilon Š textvertline
R textfishhookr Auml textrhookschwa ğ textvibyi
(continued on next page)
17
(continued from previous page)
ě textg ~ textrhoticity ů textvibyy
γ textgamma iquest textrptr szlig textwynn
Ů textglobfall atilde textrtaild Z textyogh
Ű textglobrise iacute textrtaill
tipa defines shortcut characters for many of the above It also defines a com-mand tone for denoting tone letters (pitches) See the tipa documentationfor more information
Table 12 tipx Phonetic Symbols
textaolig 3 texthtbardotlessjvar acute textrthooklong
B textbenttailyogh textinvomega q textscaolig
textbktailgamma p textinvsca r textscdelta
D textctinvglotstop textinvscripta s textscf
2 textctjvar I textlfishhookrlig t textsck
textctstretchc textlhookfour w textscm
amp textctstretchcvar lt textlhookp x textscp
textctturnt 1 textlhti y textscq
) textdblig gt textlooptoprevesh ˝ textspleftarrow
H textdoublebarpipevar 6 textnrleg $ textstretchcvar
G textdoublepipevar 9 textObullseye ˙ textsubdoublearrow
ˇ textdownfullarrow ˆ textpalhooklong macr textsubrightarrow
7 textfemale ˜ textpalhookvar P textthornvari
5 textfrbarn F textpipevar Q textthornvarii
rsquo textfrhookd = textqplig R textthornvariii
( textfrhookdvar uml textrectangle S textthornvariv
textfrhookt ˚ textretractingvar E textturnglotstop
- textfrtailgamma v textrevscl u textturnsck
T textglotstopvari z textrevscr textturnscu
U textglotstopvarii textrhooka C textturnthree
V textglotstopvariii textrhooke A textturntwo
textgrgamma + textrhookepsilon 8 textuncrfemale
0 textheng textrhookopeno ˘ textupfullarrow
4 texthmlig textrtailhth
18
Table 13 wsuipa Phonetic Symbols
babygamma 8 eng 4 labdentalnas schwa
barb er latfric sci
bard M esh 6 legm scn
bari eth E legr J scr
barl D flapr 1 lz scripta
lt baro b glotstop nialpha scriptg
A barp hookb nibeta Y scriptv
+ barsci hookd [ nichi W scu
X barscu hookg niepsilon ] scy
T baru $ hookh nigamma slashb
clickb hookheng ) niiota slashc
clickc hookrevepsilon 2 nilambda slashd
R clickt hv gt niomega U slashu
closedniomega inva C niphi taild
closedrevepsilon invf O nisigma H tailinvr
crossb d invglotstop S nitheta 0 taill
13 crossd amp invh V niupsilon 9 tailn
crossh I invlegr 7 nj F tailr
3 crossnilambda 5 invm oo L tails
curlyc G invr = openo P tailt
N curlyesh K invscr reve _ tailz
a curlyyogh invscripta f reveject Q tesh
^ curlyz invv revepsilon B thorn
( dlbari Z invw c revglotstop - tildel
dz invy scd ` yogh
e ejective ipagamma scg
Table 14 wasysym Phonetic Symbols
D DH k dh l openo
THORN Thorn U inve thorn thorn
Table 15 phonetic Phonetic Symbols
j barj f flap i ibar A rotvara i vari
barlambda glottal c openo w rotw varomega
M emgma B hausaB h planck y roty C varopeno
n engma b hausab U pwedge e schwa v˚
vod
N enya D hausad revD p thorn h voicedh
epsi T hausaD riota u ubar x yogh
s esh k hausak m rotm u udesc
d eth K hausaK rotOmega a vara
F fj D hookd r rotr G varg
19
Table 16 t4phonet Phonetic Symbols
textcrd iexcl texthtd | textpipe
sect textcrh uml texthtk eth textrtaild
cent textepsilon plusmn texthtp raquo textrtailt
not textesh ordm texthtt iexcl textschwa
textfjlig agrave textiota not textscriptv
texthtb copy textltailn textteshlig
deg texthtc ordf textopeno para textyogh
The idea behind the t4phonet packagersquos phonetic symbols is to provide aninterface to some of the characters in the T4 font encoding (Table 7 on page 16)but using the same names as the tipa characters presented in Table 11 onpage 17
Table 17 semtrans Transliteration Symbols
˒ Alif ˓ Ayn
Table 18 Text-mode Accents
Aa Aa iquestAiquesta |A|aDagger Aa fAfapara A a tAta
Aa rsquoArsquoa Aa ~A~a Aa GAGaDagger Aa uAua
Aa Aa Amacr
amacr
bAba Ảả hAhaS frac14Afrac14a UAUaDagger
Aa =A=a Aa cAca Aa HAHa Aa UAUapara
Aa ^A^a Aa CACapara Ąą kAkadagger Aa vAva
Aa lsquoAlsquoa A a dAda Aa rAra
Aa newtieAnewtiea A a textcircledAtextcircleda
Requires the textcomp package
dagger Not available in the OT1 font encoding Use the fontenc package to select analternate font encoding such as T1
Dagger Requires the T4 font encoding provided by the fc package
S Requires the T5 font encoding provided by the vntex package
para Requires one of the Cyrillic font encodings (T2A T2B T2C or X2) Use thefontenc package to select an encoding
Also note the existence of i and j which produce dotless versions of ldquoirdquoand ldquojrdquo (viz ldquoırdquo and ldquoȷrdquo) These are useful when the accent is supposed toreplace the dot in encodings that need to composite (ie combine) letters andaccents For example ldquonaiverdquo always produces a correct ldquonaıverdquo whileldquonaiverdquo yields the rather odd-looking ldquonaiverdquo when using the OT1 fontencoding and older versions of LATEX Font encodings other than OT1 andnewer versions of LATEX properly typeset ldquonaiverdquo as ldquonaıverdquo
20
Table 19 tipa Text-mode Accents
acuteAacutea textacutemacronAtextacutemacronaacuteAacutea textacutewedgeAtextacutewedgea
Affi affi textadvancingAtextadvancinga
Altalt textbottomtiebarAtextbottomtiebara˘A˘a textbrevemacronAtextbrevemacrona
ŻAŻa textcircumacuteAtextcircumacuteaˆAˆa textcircumdotAtextcircumdota
sectAsecta textdotacuteAtextdotacutea˙A ˙a textdotbreveAtextdotbrevea
sbquoAsbquoa textdoublegraveAtextdoublegravea
İAİa textdoublevbaraccentAtextdoublevbaraccenta
ŻAŻa textfallriseAtextfallrisea
ŽAŽa textgravecircumAtextgravecircuma
đAđa textgravedotAtextgravedota
`A`a textgravemacronAtextgravemacrona
ŹAŹa textgravemidAtextgravemida
ŸAŸa texthighriseAtexthighrisea
Abdquoabdquo textinvsubbridgeAtextinvsubbridgea
Afl afl textloweringAtextloweringa
ŹAŹa textlowriseAtextlowrisea
ŸAŸa textmidacuteAtextmidacutea
permilApermila textovercrossAtextovercrossamdashA
mdasha textoverwAtextoverwa
Aa textpolhookAtextpolhooka
Afi afi textraisingAtextraisinga
Affl affl textretractingAtextretractinga˚Aa textringmacronAtextringmacrona
ŽAŽa textrisefallAtextrisefalla
ldquoAldquoa textroundcapAtextroundcapa
Aa textseagullAtextseagulla
Arsaquo
arsaquo
textsubacuteAtextsubacutea
Aldquo
aldquo
textsubarchAtextsubarcha
Amacr
amacr
textsubbarAtextsubbara
Ardquoardquo textsubbridgeAtextsubbridgea
Aˆ
aˆ
textsubcircumAtextsubcircuma
A˙a˙
textsubdotAtextsubdota
Alsaquo
alsaquo
textsubgraveAtextsubgravea
Andash andash textsublhalfringAtextsublhalfringa
Aff aff textsubplusAtextsubplusa
Araquo araquo textsubrhalfringAtextsubrhalfringa
A˚
a˚
textsubringAtextsubringa
(continued on next page)
21
(continued from previous page)
Alaquoalaquo textsubsquareAtextsubsquarea
A˜
a˜
textsubtildeAtextsubtildea
Auml
auml
textsubumlautAtextsubumlauta
Amdashamdash textsubwAtextsubwa
Aˇ
aˇ
textsubwedgeAtextsubwedgea
Aampaamp textsuperimposetildeAtextsuperimposetildea
Aa
textsyllabicAtextsyllabica˜A˜a texttildedotAtexttildedotagtAgta texttoptiebarAtexttoptiebara
IJAIJa textvbaraccentAtextvbaraccenta
tipa defines shortcut sequences for many of the above See the tipa documen-tation for more information
Table 20 extraipa Text-mode Accents
rdquoArdquo
rdquoardquo bibridgeAbibridgea Andash raquoandash raquo partvoicelessApartvoicelessa
ŔA
Ŕa crtildeAcrtildea Aa slidingAslidinga
Aa dottedtildeAdottedtildea Aa spreadlipsAspreadlipsa˜A˜a doubletildeAdoubletildea A
^a^
subcornerAsubcornera
Araquoaraquo finpartvoiceAfinpartvoicea Amacr
amacr
subdoublebarAsubdoublebara
Araquoaraquo finpartvoicelessAfinpartvoicelessa A
a
subdoublevertAsubdoubleverta
Andash andash inipartvoiceAinipartvoicea Aiexclaiexcl
sublptrAsublptra
Andash andash inipartvoicelessAinipartvoicelessa Aiquestaiquest
subrptrAsubrptrardquoA
rdquoa overbridgeAoverbridgea A
ŢaŢ
whistleAwhistlea
Andash raquoandash raquo partvoiceApartvoicea
Table 21 wsuipa Text-mode Accents
Ag ag dentalAdentala
Aa underarchAunderarcha
22
Table 22 phonetic Text-mode Accents
Aa
hillAhilla Aa rcArca A˜
a˜
utAuta
A˚
a˚
odAoda Aa sylAsylaA a ohillAohilla Aa tdAtda
The phonetic package provides a few additional macros for linguistic accents
acbar and acarc compose characters with multiple accents for example
acbarrsquoa produces ldquoacuteardquo and acarce produces ldquoerdquo labvel joins
two characters with an arc labvelmn rarr ldquomnrdquo upbar is intended to go
between characters as in ldquoxupbaryrsquorsquo rarr ldquox yrdquo Lastly uplett behaves
like textsuperscript but uses a smaller font Contrast ldquopupletthrsquorsquo rarrldquophrdquo with ldquoptextsuperscripthrsquorsquo rarr ldquophrdquo
Table 23 metre Text-mode Accents
Aa acutusAacutusa
Aa breveAbrevea
Aa circumflexusAcircumflexusa
Aa diaeresisAdiaeresisa
Aa gravisAgravisa
Aa macronAmacrona
Table 24 t4phonet Text-mode Accents
Aa textdoublegraveAtextdoublegravea
iquestAiquesta textvbaraccentAtextvbaraccenta
frac14Afrac14a textdoublevbaraccentAtextdoublevbaraccenta
The idea behind the t4phonet packagersquos text-mode accents is to provide aninterface to some of the accents in the T4 font encoding (accents marked withldquoDaggerrdquo in Table 18 on page 20) but using the same names as the tipa accentspresented in Table 19 on page 21
Table 25 arcs Text-mode Accents
A
a overarcAoverarca A
a
underarcAunderarca
The accents shown above scale only to a few characters wide An optionalmacro argument alters the effective width of the accented characters See thearcs documentation for more information
At the time of this writing (20151112) there exists an incompatibility be-tween the arcs package and the relsize package upon which arcs depends Asa workaround one should apply the patch proposed by Michael Sharpe on theX ETEX mailing list (Subject ldquoThe arcs packagerdquo dated 20130825) to pre-vent spurious text from being added to the document (as in ldquo50ptA
rdquo when
ldquoA
rdquo is expected)
23
Table 26 semtrans Accents
Auml
auml
DADa A˘
a˘
UAUa
Aa TATa
T is not actually an accent but a command that rotates its argument 180degusing the graphicx packagersquos rotatebox command
Table 27 ogonek Accents
A˓a˓ kAka
Table 28 combelow Accents
A a cbAcba
cb places a comma above letters with descenders Hence while ldquocbsrdquoproduces ldquosrdquo ldquocbgrdquo produces ldquoglsquordquo
Table 29 wsuipa Diacritics
s ain v leftp x overring h stress underwedge
k corner n leftt ~ polishhook j syllabic t upp
u downp q length w rightp r underdots l upt
m downt midtilde o rightt y underring
p halflength z open i secstress | undertilde
The wsuipa package defines all of the above as ordinary characters notas accents However it does provide diatop and diaunder commandswhich are used to compose diacritics with other characters For examplediatop[overring|a] produces ldquoxardquo and diaunder[underdots|a] pro-duces ldquorardquo See the wsuipa documentation for more information
Table 30 textcomp Diacritics
˝ textacutedbl ˇ textasciicaron macr textasciimacron
acute textasciiacute uml textasciidieresis textgravedbl
˘ textasciibreve ` textasciigrave
The textcomp package defines all of the above as ordinary characters not asaccents You can use llap or rlap to combine them with other charactersSee the discussion of llap and rlap on page 218 for more information
24
Table 31 marvosym Diacritics
p arrowOver g barOver _ StrikingThrough
P ArrowOver G BarOver
The marvosym package defines all of the above as ordinary characters not asaccents You can use llap or rlap to combine them with other charactersSee the discussion of llap and rlap on page 218 for more information
Table 32 textcomp Currency Symbols
฿ textbaht $ textdollar textguarani ₩ textwon
cent textcent textdollaroldstyle ₤ textlira yen textyen
textcentoldstyle ₫ textdong ₦ textnaira
₡ textcolonmonetary euro texteuro textpeso
curren textcurrency ƒ textflorin $ textsterling
Itrsquos generally preferable to use the corresponding symbol from Table 3 onpage 15 because the symbols in that table work properly in both text modeand math mode
Table 33 marvosym Currency Symbols
cent Denarius d EURcr e EURtm pound Pfund
Ecommerce D EURdig brvbar EyesDollar iexcl Shilling
e EUR c EURhv iacute Florin
The different euro signs are meant to be visually compatible with differentfontsmdashCourier (EURcr) Helvetica (EURhv) Times Roman (EURtm) andthe marvosym digits listed in Table 282 (EURdig) The mathdesign packageredefines texteuro to be visually compatible with one of three additionalfonts Utopia (euro) Charter (euro) or Garamond (euro)
Table 34 fontawesome Currency Symbols
faBtc j faIls brvbar faKrw f faUsd
S faEur faInr ugrave faRub faViacoin
faGbp pound faJpy 13 faTry
fontawesome defines faBitcoin as a synonym for faBtc faCny faYenand faRmb as synonyms for faJpy faDollar as a synonym for faUsdfaEuro as a synonym for faEur faRouble and faRuble as synonyms forfaRub faRupee as a synonym for faInr faShekel and faSheqel assynonyms for faIls faTurkishLira as a synonym for faTry and faWon
as a synonym for faKrw
Table 35 wasysym Currency Symbols
cent cent curren currency
25
Table 36 ChinA2e Currency Symbols
yuml Euro thorn Pound
Table 37 teubner Currency Symbols
Ε denarius Α hemiobelion Β tetartemorion
Δ dracma ῝ stater
Table 38 tfrupee Currency Symbols
| rupee
Table 39 eurosym Euro Signs
AC geneuro BC geneuronarrow CC geneurowide e officialeuro
euro is automatically mapped to one of the abovemdashby defaultofficialeuromdashbased on a eurosym package option See the eurosym doc-umentation for more information The geneuro characters are generatedfrom the current body fontrsquos ldquoCrdquo character and therefore may not appearexactly as shown
Table 40 fourier Euro Signs
( eurologo euro texteuro
Table 41 textcomp Legal Symbols
textcircledP c copy textcopyright textservicemark
laquo textcopyleft r reg textregistered TM trade texttrademark
The first symbol column represents themdashsometimes ldquofakedrdquomdashsymbol thatLATEX 2120576 provides by default The second symbol column represents the sym-bol as redefined by textcomp The textcomp package is generally required totypeset Table 41rsquos symbols in italic
See httpwwwtexacukcgi-bintexfaq2htmllabel=tradesyms forsolutions to common problems that occur when using these symbols (eg get-ting a ldquo rrdquo when you expected to get a ldquoregrdquo)
Table 42 fontawesome Legal Symbols
Z faCopyright sup2 faRegistered
sup3 faCreativeCommons plusmn faTrademark
26
Table 43 cclicenses Creative Commons License Icons
CC cc $∖ ccnc
C ccsa
BY ccby = ccnd
These symbols utilize the rotating package and therefore display improperly insome DVI viewers
Table 44 ccicons Creative Commons License Icons
b ccAttribution e ccNonCommercialEU s ccShare
copy ccCopy y ccNonCommercialJP a ccShareAlike
c ccLogo p ccPublicDomain z ccZero
d ccNoDerivatives r ccRemix
n ccNonCommercial m ccSampling
ccicons additionally defines a set of commands for typesetting many completeCreative Commons licenses (ie juxtapositions of two or more of the preced-ing icons) For example the ccbyncnd command typesets the ldquoAttributionndashNoncommercialndashNo Derivative Worksrdquo license (ldquocbndrdquo) See the cciconsdocumentation for more information
Table 45 textcomp Old-style Numerals
textzerooldstyle textfouroldstyle texteightoldstyle
textoneoldstyle textfiveoldstyle textnineoldstyle
texttwooldstyle textsixoldstyle
textthreeoldstyle textsevenoldstyle
Rather than use the bulky textoneoldstyle texttwooldstyle etc com-mands shown above consider using oldstylenums to typeset an old-style number
Table 46 Miscellaneous textcomp Symbols
textblank para textpilcrow
brvbar textbrokenbar textquotesingle
- textdblhyphen sbquo textquotestraightbase
textdblhyphenchar bdquo textquotestraightdblbase
textdiscount textrecipe
textestimated textreferencemark
textinterrobang textthreequartersemdash
textinterrobangdown ~ texttildelow
textnumero texttwelveudash
textopenbullet
Table 47 Miscellaneous wasysym Text-mode Symbols
h permil
27
3 Mathematical symbols
Most but not all of the symbols in this section are math-mode only That is they yield a ldquoMissing $
insertedrdquo error message if not used within $ $ [ ] or another math-mode environment Opera-tors marked as ldquovariable-sizedrdquo are taller in displayed formulas shorter in in-text formulas and possiblyshorter still when used in various levels of superscripts or subscripts
Alphanumeric symbols (eg ldquoℒ rdquo and ldquordquo) are usually produced using one of the math alphabetsin Table 307 rather than with an explicit symbol command Look there first if you need a symbol for atransform number set or some other alphanumeric
Although there have been many requests on comptexttex for a contradiction symbol theensuing discussion invariably reveals innumerable ways to represent contradiction in a proof in-cluding ldquordquo (blitza) ldquorArrlArrrdquo (RightarrowLeftarrow) ldquoperprdquo (bot) ldquo=rdquo (nleftrightarrow)and ldquordquo (textreferencemark) Because of the lack of notational consensus it is probably bet-ter to spell out ldquoContradictionrdquo than to use a symbol for this purpose Similarly discussions oncomptexttex have revealed that there are a variety of ways to indicate the mathematical notionof ldquois defined asrdquo Common candidates include ldquordquo (triangleq) ldquoequivrdquo (equiv) ldquoBrdquo (various1) and
ldquodef=rdquo (stackreltexttiny def=) See also the example of equalsfill on page 219 Depend-
ing upon the context disjoint union may be represented as ldquo∐
rdquo (coprod) ldquo⊔rdquo (sqcup) ldquo middotcuprdquo (dotcup)ldquooplusrdquo (oplus) or any of a number of other symbols2 Finally the average value of a variable 119909 is writtenby some people as ldquo119909rdquo (overlinex) by some people as ldquo⟨119909⟩rdquo (langle x rangle) and by somepeople as ldquo119909rdquo or ldquoempty119909rdquo (diameter x or varnothing x) The moral of the story is that you should becareful always to explain your notation to avoid confusing your readers
Table 48 Math-Mode Versions of Text Symbols
$ mathdollar para mathparagraph $ mathsterling
mathellipsis S mathsection mathunderscore
Itrsquos generally preferable to use the corresponding symbol from Table 3 onpage 15 because the symbols in that table work properly in both text modeand math mode
Table 49 cmll Unary Operators
oc ˆ shneg wn
˜ shift acute shpos
oc and wn differ from ldquordquo and ldquordquo in terms of their math-mode spacing$A=B$ produces ldquo119860 =119861rdquo for example while $A=oc B$ produces ldquo119860 = 119861rdquo
1In txfonts pxfonts and mathtools the symbol is called coloneqq In mathabx and MnSymbol itrsquos called coloneq Incolonequals itrsquos called colonequals
2Bob Tennent listed these and other disjoint-union symbol possibilities in a November 2007 post to comptexttex
28
Table 50 Binary Operators
⨿ amalg cup cup oplus oplus times times
ast dagger dagger ⊘ oslash ▷ triangleleft
bigcirc Dagger ddagger otimes otimes ◁ triangleright
bigtriangledown diamond plusmn pm E unlhd
bigtriangleup divide div B rhd D unrhd
∙ bullet C lhd ∖ setminus ⊎ uplus
cap cap ∓ mp ⊓ sqcap or vee
middot cdot ⊙ odot ⊔ sqcup and wedge
∘ circ ⊖ ominus ⋆ star ≀ wr
Not predefined by the LATEX 2120576 core Use the latexsym package to expose thissymbol
Table 51 119964ℳ119982 Binary Operators
Z barwedge circledcirc ᵀ intercal
boxdot circleddash h leftthreetimes
boxminus d Cup n ltimes
boxplus g curlyvee i rightthreetimes
boxtimes f curlywedge o rtimes
e Cap gt divideontimes r smallsetminus
centerdot u dotplus Y veebar
~ circledast [ doublebarwedge
Some people use a superscripted intercal for matrix transposeldquoA^intercalrdquo ↦rarr ldquo119860ᵀrdquo (See the May 2009 comptexttex thread ldquoraisingmath symbolsrdquo for suggestions about altering the height of the superscript)top (Table 199 on page 93) T and mathsfT are other popular choicesldquo119860⊤rdquo ldquo119860119879 rdquo ldquo119860Trdquo
Table 52 stmaryrd Binary Operators
baro 9 interleave varoast
13 bbslash 2 leftslice varobar
N binampersand merge varobslash
O bindnasrepma minuso varocircle
i boxast moo varodot
k boxbar ` nplus 5 varogreaterthan
boxbox obar 4 varolessthan
j boxbslash oblong varominus
boxcircle obslash varoplus
boxdot = ogreaterthan varoslash
boxempty lt olessthan varotimes
l boxslash gt ovee 6 varovee
curlyveedownarrow owedge 7 varowedge
curlyveeuparrow 3 rightslice vartimes
curlywedgedownarrow sslash Ydown
amp curlywedgeuparrow 8 talloblong Yleft
) fatbslash varbigcirc Yright
fatsemi varcurlyvee Yup
( fatslash varcurlywedge
29
Table 53 wasysym Binary Operators
C lhd ocircle RHD D unrhd
LHD B rhd E unlhd
Table 54 txfontspxfonts Binary Operators
V circledbar T circledwedge medcirc
W circledbslash M invamp sqcapplus
U circledvee medbullet | sqcupplus
Table 55 mathabx Binary Operators
˚ ast N curlywedge [ sqcap
˚ Asterisk ˜ divdot sqcup
X barwedge cedil divideontimes ^ sqdoublecap
lsaquo bigstar acute dotdiv _ sqdoublecup
rsaquo bigvarstar ` dotplus ˝ square
˛ blackdiamond ˆ dottimes ] squplus
X cap Z doublebarwedge uml udot
˘ circplus doublecap Z uplus
ˇ coasterisk ] doublecup rsaquo varstar
ˇ coAsterisk ˙ ltimes _ vee
˙ convolution macr pluscirc Y veebar
Y cup cedil rtimes [ veedoublebar
O curlyvee sbquo sqbullet ^ wedge
Many of the preceding glyphs go by multiple names centerdot is equivalentto sqbullet and ast is equivalent to asterisk produces the sameglyph as ast but as an ordinary symbol not a binary operator Similarlybigast produces a large-operator version of the Asterisk binary operatorand bigcoast produces a large-operator version of the coAsterisk binaryoperator
Table 56 MnSymbol Binary Operators
∐ amalg ⩏ doublesqcup righttherefore
lowast ast ⩔ doublevee ⋌ rightthreetimes
backslashdiv ⩕ doublewedge ( rightY
amp bowtie ∵ downtherefore ⋊ rtimes
bullet + downY slashdiv
cap cap dtimes prod smallprod
⩀ capdot fivedots ⊓ sqcap
capplus hbipropto E sqcapdot
sdot cdot hdotdot G sqcapplus
circ lefthalfcap ⊔ sqcup
(continued on next page)
30
(continued from previous page)
frac34 closedcurlyvee lefthalfcup D sqcupdot
frac14 closedcurlywedge lefttherefore F sqcupplus
cup cup ⋋ leftthreetimes ∷ squaredots
⊍ cupdot leftY times times
⊎ cupplus ⋉ ltimes udotdot
⋎ curlyvee ∖ medbackslash there4 uptherefore
5 curlyveedot medcircle ) upY
⋏ curlywedge ∕ medslash $ utimes
4 curlywedgedot ∣ medvert vbipropto
ddotdot medvertdot ∶ vdotdot
13 diamonddots minus minus or vee
divide div minusdot veedot
dotmedvert ∓ mp ⧖ vertbowtie
dotminus neswbipropto vertdiv
⋒ doublecap nwsebipropto and wedge
⋓ doublecup + plus wedgedot
7 doublecurlyvee plusmn pm ≀ wreath
6 doublecurlywedge righthalfcap
⩎ doublesqcap righthalfcup
MnSymbol defines setminus and smallsetminus as synonyms formedbackslash Join as a synonym for bowtie wr as a synonym forwreath shortmid as a synonym for medvert Cap as a synonym fordoublecap Cup as a synonym for doublecup and uplus as a synonymfor cupplus
Table 57 fdsymbol Binary Operators
⨿ amalg ⩖ doublevee ⋊ rtimes
lowast ast ⩕ doublewedge setminus
⊼ barwedge downY ⊓ sqcap
cap cap ⨲ dtimes I sqcapdot
⩀ capdot hdotdot K sqcapplus
C capplus ⊺ intercal ⊔ sqcup
sdot cdot ⨼ intprod H sqcupdot
centerdot ⨽ intprodr J sqcupplus
cup cup ⋋ leftthreetimes times times
⊍ cupdot leftY ⨱ timesbar
⊎ cupplus ⋉ ltimes udotdot
⋎ curlyvee ∖ medbackslash ⧖ upbowtie
⋏ curlywedge ∕ medslash - upY
ddotdot minus minus ( utimes
divide div ⨪ minusdot ⨿ varamalg
⋇ divideontimes ⨫ minusfdots ∶ vdotdot
divslash ⨬ minusrdots ⋮ vdots
∸ dotminus ∓ mp or vee
∔ dotplus + plus ⊻ veebar
(continued on next page)
31
(continued from previous page)
⨰ dottimes ⨥ plusdot ⟇ veedot
⩞ doublebarwedge plusmn pm ⩣ veedoublebar
⋒ doublecap ⟓ pullback and wedge
⋓ doublecup ⟔ pushout ⟑ wedgedot
⩎ doublesqcap ⋌ rightthreetimes ≀ wreath
⩏ doublesqcup rightY
fdsymbol defines btimes as a synonym for dtimes Cap as a synonym fordoublecap Cup as a synonym for doublecup hookupminus as a synonymfor intprodr hourglass as a synonym for upbowtie land as a synonymfor wedge lor as a synonym for vee minushookup as a synonym forintprod smalldivslash as a synonym for medslash smallsetminus
as a synonym for medbackslash Sqcap as a synonym for doublesqcapSqcup as a synonym for doublesqcup ttimes as a synonym for utimeslJoin as a synonym for ltimes rJoin as a synonym for rtimes Joinand lrtimes as synonyms for bowtie uplus as a synonym for cupplusveeonvee as a synonym for doublevee wedgeonwedge as a synonym fordoublewedge and wr as a synonym for wreath)
Table 58 boisik Binary Operators
ast dottimes ecirc rtimesblack
ccedil baro Ograve doublebarwedge Uacute smallsetminus
Ntilde barwedge yacute fatsemi ouml smashtimes
= bbslash Aring gtrdot iquest squplus
icirc binampersand thorn intercal lt sslash
iuml bindnasrepma THORN lbag z times
euml blackbowtie igrave lblackbowtie uplus
egrave bowtie ETH leftslice plusmn varcap
cap Oacute leftthreetimes deg varcup
Euml Cap Auml lessdot oacute varintercal
y cdot Ocirc ltimes sup3 varsqcap
icirc centerdot eacute ltimesblack sup2 varsqcup
circplus merge vartimes
` coAsterisk eacute minuso vee
convolution aelig moo ucirc Vee
cup yuml mp ETH veebar
Ecirc Cup frac34 nplus veeonvee
macr cupleftarrow egrave pluscirc wedge
Iuml curlyvee otilde plustrif uuml Wedge
Icirc curlywedge ~ pm Ocirc Ydown
ntilde dagger szlig rbag Ouml Yleft
ograve ddagger iacute rblackbowtie times Yright
| div Ntilde rightslice Otilde Yup
Atilde divideontimes Ocirc rightthreetimes
THORN dotplus Otilde rtimes
32
Table 59 stix Binary Operators
⨿ amalg ⨾ fcmp ⊔ sqcup
lowast ast frasl fracslash ⩏ Sqcup
⩃ barcap ⊺ intercal ⫽ sslash
⩂ barcup ⫴ interleave ⫶ threedotcolon
⊽ barvee ⨼ intprod times times
⊼ barwedge ⨽ intprodr ⨱ timesbar
⩗ bigslopedvee ∾ invlazys ⧿ tminus
⩘ bigslopedwedge ⋋ leftthreetimes ⧾ tplus
⨲ btimes ⊲ lhd ⧻ tripleplus
cap cap ⋉ ltimes ⫻ trslash
⋒ Cap ⩝ midbarvee ⩋ twocaps
⩉ capbarcup ⩜ midbarwedge ⩊ twocups
⩀ capdot ⨪ minusdot ⦂ typecolon
⩇ capovercup ⨫ minusfdots ⩁ uminus
⩄ capwedge ⨬ minusrdots ⊴ unlhd
⩍ closedvarcap ∓ mp ⊵ unrhd
⩌ closedvarcup ⫵ nhVvert ⅋ upand
⩐ closedvarcupsmashprod ⨭ opluslhrim ⊎ uplus
⨩ commaminus ⨮ oplusrhrim varbarwedge
cup cup ⨴ otimeslhrim vardoublebarwedge
⋓ Cup ⨵ otimesrhrim ⩡ varveebar
⩈ cupbarcap ⨥ plusdot ⨯ vectimes
⊍ cupdot ⩲ pluseqq ⩔ Vee
⊌ cupleftarrow ⨣ plushat or vee
⩆ cupovercap ⨦ plussim ⊻ veebar
⩅ cupvee ⨧ plussubtwo ⟇ veedot
⋎ curlyvee ⨨ plustrif ⩣ veedoublebar
⋏ curlywedge plusmn pm ⩛ veemidvert
dagger dagger ⊳ rhd ⩒ veeodot
Dagger ddagger ⋌ rightthreetimes ⩖ veeonvee
divide div ⨢ ringplus ⩓ Wedge
⋇ divideontimes ⧷ rsolbar and wedge
∸ dotminus ⋊ rtimes ⩟ wedgebar
∔ dotplus ⧵ setminus ⟑ wedgedot
⨰ dottimes ⧢ shuffle ⩠ wedgedoublebar
⩢ doublebarvee ⨤ simplus ⩚ wedgemidvert
⩞ doublebarwedge ∖ smallsetminus ⩑ wedgeodot
⧺ doubleplus ⨳ smashtimes ⩕ wedgeonwedge
⧶ dsol ⊓ sqcap ≀ wr
⩱ eqqplus ⩎ Sqcap
stix defines land as a synonym for wedge lor as a synonym for veedoublecap as a synonym for Cap and doublecup as a synonym for Cup
Table 60 mathdesign Binary Operators
_ dtimes ] udtimes ^ utimes
The mathdesign package additionally provides versions of each of the binaryoperators shown in Table 51 on page 29
33
Table 61 cmll Binary Operators
` parr amp withdagger
cmll defines invamp as a synonym for parr
dagger with differs from amp in terms of its math-mode spacing $A amp B$ producesldquo119860amp119861rdquo for example while $A with B$ produces ldquo119860amp119861rdquo
Table 62 shuffle Binary Operators
cshuffle shuffle
Table 63 ulsy Geometric Binary Operators
odplus
Table 64 mathabx Geometric Binary Operators
İ blacktriangledown i boxright a ominus
đ blacktriangleleft m boxslash lsquo oplus
sect blacktriangleright b boxtimes i oright
IJ blacktriangleup j boxtop m oslash
f boxasterisk o boxtriangleup b otimes
n boxbackslash l boxvoid j otop
k boxbot f oasterisk o otriangleup
e boxcirc n obackslash l ovoid
g boxcoasterisk k obot Ź smalltriangledown
c boxdiv e ocirc Ž smalltriangleleft
d boxdot g ocoasterisk Ż smalltriangleright
h boxleft c odiv Ÿ smalltriangleup
a boxminus d odot
lsquo boxplus h oleft
34
Table 65 MnSymbol Geometric Binary Operators
⧅ boxbackslash filledmedtriangledown ⊚ ocirc
⧈ boxbox filledmedtriangleleft ⊙ odot
⊡ boxdot filledmedtriangleright ⊖ ominus
⊟ boxminus filledmedtriangleup oplus oplus
⊞ boxplus ◾ filledsquare ⊘ oslash
⧄ boxslash filledstar ostar
⊠ boxtimes filledtriangledown otimes otimes
q boxvert filledtriangleleft d otriangle
diamondbackslash filledtriangleright ⦶ overt
diamonddiamond filledtriangleup pentagram
⟐ diamonddot meddiamond smalldiamond
x diamondminus ◻ medsquare ◽ smallsquare
| diamondplus medstar smallstar
z diamondslash medtriangledown smalltriangledown
diamondtimes ◁ medtriangleleft smalltriangleleft
y diamondvert ▷ medtriangleright smalltriangleright
Acirc downslice medtriangleup smalltriangleup
filleddiamond ⊛ oast ⋆ thinstar
∎ filledmedsquare ⦸ obackslash Agrave upslice
MnSymbol defines blacksquare as a synonym for filledmedsquaresquare and Box as synonyms for medsquare diamond as a synonym forsmalldiamond Diamond as a synonym for meddiamond star as a syn-onym for thinstar circledast as a synonym for oast circledcirc asa synonym for ocirc and circleddash as a synonym for ominus
Table 66 fdsymbol Geometric Binary Operators
⧅ boxbackslash medblacktriangledown oplus oplus
⧈ boxbox medblacktriangleleft ⊘ oslash
⊡ boxdot medblacktriangleright otimes otimes
⊟ boxminus medblacktriangleup ⦶ overt
⊞ boxplus medcircle bull smallblackcircle
⧄ boxslash meddiamond smallblackdiamond
⊠ boxtimes ∕ medslash smallblacksquare
boxvert medsquare ⋆ smallblackstar
diamondbackslash medtriangledown smallblacktriangledown
diamonddiamond ◁ medtriangleleft smallblacktriangleleft
⟐ diamonddot ▷ medtriangleright smallblacktriangleright
diamondminus medtriangleup smallblacktriangleup
diamondplus medwhitestar smallcircle
diamondslash ⊛ oast ⋄ smalldiamond
diamondtimes ⦸ obackslash smallsquare
diamondvert ⊚ ocirc smalltriangledown
medblackcircle ⊝ odash smalltriangleleft
medblackdiamond ⊙ odot smalltriangleright
medblacksquare ⊜ oequal smalltriangleup
medblackstar ⊖ ominus smallwhitestar
fdsymbol defines synonyms for most of the preceding symbols
35
blackdiamond ⋄ diamond bull smblkcircle
blacktriangle Diamond smblkdiamond
blacktriangledown diamondbslash smblksquare
blacktriangleleft ⟐ diamondcdot smwhitestar
blacktriangleright mdblkdiamond smwhtcircle
Box mdblksquare ⋄ smwhtdiamond
boxbar mdlgblkcircle smwhtsquare
⧅ boxbslash mdlgblkdiamond square
⧄ boxdiag mdlgblksquare ⋆ star
bull bullet mdlgwhtcircle triangle
circ mdlgwhtdiamond triangledown
⊛ circledast mdlgwhtsquare ◁ triangleleft
⊚ circledcirc mdwhtdiamond ▷ triangleright
⊝ circleddash mdwhtsquare vartriangle
⊜ circledequal medstar
⦶ circledvert ⦸ obslash
Table 67 boisik Geometric Binary Operators
atilde blacklozenge boxright oblong
iuml blacksquare cent boxslash obot
euml blacktriangle ograve boxtimes obslash
egrave blacktriangledown boxtop ogreaterthan
ecirc blacktriangleleft pound boxtriangle oleft
eacute blacktriangleright ouml circledast olessthan
curren boxast otilde circledcirc ominus
iexcl boxbar divide circleddash oplus
boxbot diamond oright
sect boxbox ordf diamondbar oslash
boxbslash reg diamondcircle otimes
yen boxcircle copy diamondminus otop
brvbar boxdivision uml diamondop otriangle
ocirc boxdot not diamondplus ovee
boxleft laquo diamondtimes owedge
ntilde boxminus shy diamondtriangle oslash star
eth boxplus obar talloblong
36
Table 68 stix Geometric Binary Operators
⧗ blackhourglass ⟢ concavediamondtickleft oplus oplus
⧆ boxast ⟣ concavediamondtickright ⊘ oslash
boxbar ⋄ diamond otimes otimes
⧈ boxbox ⩤ dsub ⨷ Otimes
⧅ boxbslash ⧖ hourglass ⨶ otimeshat
⧇ boxcircle ⟠ lozengeminus ⩥ rsub
⧄ boxdiag ⧫ mdlgblklozenge bull smblkcircle
⊡ boxdot mdlgwhtcircle ⋆ star
⊟ boxminus obar ⫾ talloblong
⊞ boxplus ⦺ obot triangle
⊠ boxtimes ⦸ obslash ⨺ triangleminus
⊛ circledast ⨸ odiv ⨹ triangleplus
⊚ circledcirc ⊙ odot ⧍ triangleserifs
⊝ circleddash ⦼ odotslashdot ⨻ triangletimes
⊜ circledequal ⧁ ogreaterthan ∙ vysmblkcircledagger
⦷ circledparallel ⦻ olcross ∘ vysmwhtcircle
⦶ circledvert ⧀ olessthan ⟤ whitesquaretickleft
⦵ circlehbar ⊖ ominus ⟥ whitesquaretickright
⟡ concavediamond ⦹ operp
Defined as an ordinary character not as a binary relation However thesesymbols more closely resemble the other symbols in this table than they dothe geometric shapes presented in Table 381 which is why they are includedhere
dagger stix defines bullet as a synonym for vysmblkcircle
Table 69 halloweenmath Halloween-Themed Math Operators
bigpumpkinDagger mathrightghost reversemathcloud
mathcloud mathwitchdagger reversemathwitchdagger
mathghost mathwitchdagger reversemathwitchdagger
mathleftghost pumpkin
dagger These symbols accept limits For examplemathwitch_i=0^infty f(x) produces ldquo
infin119894=0 119891(119909)rdquo in text mode
andinfin
119894=0
119891(119909)
in display mode
Dagger greatpumpkin is a synonym for bigpumpkin
37
Table 70 stix Small Integrals
⨑ smallawint ⨙ smallintcap ∮ smalloint
⨐ smallcirfnint ∱ smallintclockwise ∳ smallointctrclockwise
⨏ smallfint ⨚ smallintcup ⨕ smallpointint
⨌ smalliiiint ⨗ smallintlarhk ⨒ smallrppolint
∭ smalliiint ⨘ smallintx ⨓ smallscpolint
∬ smalliint ⨜ smalllowint ⨖ smallsqint
int smallint ⨔ smallnpolint ⨋ smallsumint
⨍ smallintbar ∰ smalloiiint ⨛ smallupint
⨎ smallintBar ∯ smalloiint ∲ smallvarointclockwise
By default each of the preceding commands points to a slanted version of theglyph as shown The upint package option typesets each integral instead asan upright version Slanted and upright integrals can be mixed however byexplicitly using the commands shown in Table 71
Table 71 stix Small Integrals with Explicit Slant
⨑ smallawintsl ⨑ smallawintup
⨐ smallcirfnintsl ⨐ smallcirfnintup
⨏ smallfintsl ⨏ smallfintup
⨌ smalliiiintsl ⨌ smalliiiintup
∭ smalliiintsl ∭ smalliiintup
∬ smalliintsl ∬ smalliintup
⨍ smallintbarsl ⨎ smallintBarup
⨎ smallintBarsl ⨍ smallintbarup
⨙ smallintcapsl ⨙ smallintcapup
∱ smallintclockwisesl ∱ smallintclockwiseup
⨚ smallintcupsl ⨚ smallintcupup
⨗ smallintlarhksl ⨗ smallintlarhkup
int smallintsl int smallintup
⨘ smallintxsl ⨘ smallintxup
⨜ smalllowintsl ⨜ smalllowintup
⨔ smallnpolintsl ⨔ smallnpolintup
∰ smalloiiintsl ∰ smalloiiintup
∯ smalloiintsl ∯ smalloiintup
∳ smallointctrclockwisesl ∳ smallointctrclockwiseup
∮ smallointsl ∮ smallointup
⨕ smallpointintsl ⨕ smallpointintup
⨒ smallrppolintsl ⨒ smallrppolintup
⨓ smallscpolintsl ⨓ smallscpolintup
⨖ smallsqintsl ⨖ smallsqintup
⨋ smallsumintsl ⨋ smallsumintup
⨛ smallupintsl ⨛ smallupintup
∲ smallvarointclockwisesl ∲ smallvarointclockwiseup
Instead of using the preceding symbols directly it is generally preferable to usethe symbols listed in Table 70 either with or without the upint package optionSpecifying upint selects each integralrsquos upright (up) variant while omittingupint selects each integralrsquos slanted (sl) variant Use the symbols shown inTable 71 only when you need to include both upright and slanted variations ofa symbol in the same document
38
Table 72 Variable-sized Math Operators⋂ ⋂bigcap
⨂⨂bigotimes
⋀ ⋀bigwedge
prod prodprod⋃ ⋃
bigcup⨆ ⨆
bigsqcup∐∐
coprodsumsum
sum⨀⨀bigodot
⨄ ⨄biguplus
int intint⨁⨁
bigoplus⋁ ⋁
bigvee∮ ∮
oint
Table 73 119964ℳ119982 Variable-sized Math Operators
intint intintiint
intintint intintintiiint
intintintint intintintintiiiint
intmiddotmiddot middot
int intmiddot middot middot
intidotsint
Table 74 stmaryrd Variable-sized Math Operators
embigbox
g obiginterleave
bigsqcap
bjbigcurlyvee
bignplus
`hbigtriangledown
ckbigcurlywedge
f nbigparallel
aibigtriangleup
Table 75 wasysym Variable-sized Math Operators
r wint
sxiint
tyiiint
u zoint
voiint
If wasysym is loaded without package options then none of the preceding sym-bols are defined However varint produces wasysymrsquos int glyph andvaroint produces wasysymrsquos oint glyph
If wasysym is loaded with the integrals option then all of the preceding symbolsare defined but varint and varoint are left undefined
If wasysym is loaded with the nointegrals option then none of the precedingsymbols varint or varoint are defined
39
Table 76 mathabx Variable-sized Math Operators
IJ
ň
bigcurlyveeYacute
yacute
bigboxslashEacute
eacute
bigoright
Ű
ę
bigsqcapOgrave
ograve
bigboxtimesIacute
iacute
bigoslash
Ż
ń
bigcurlywedgeUacute
uacute
bigboxtopEcirc
ecirc
bigotop
Ouml
ouml
bigboxasteriskszlig
szlig
bigboxtriangleupIuml
iuml
bigotriangleup
THORN
thorn
bigboxbackslashUuml
uuml
bigboxvoidIgrave
igrave
bigovoid
Ucirc
ucirc
bigboxbotŠ
ć
bigcomplementopŘ
ă
bigplus
Otilde
otilde
bigboxcircAElig
aelig
bigoasteriskŸ
ĺ
bigsquplus
Œ
œ
bigboxcoasteriskIcirc
icirc
bigobackslashŚ
ą
bigtimes
Oacute
oacute
bigboxdivEuml
euml
bigobotţ
iexcl
iiint
Ocirc
ocirc
bigboxdotAring
aring
bigocircť
ij
iint
Oslash
oslash
bigboxleftCcedil
ccedil
bigocoasteriskş
ż
int
Ntilde
ntilde
bigboxminusAtilde
atilde
bigodivů
pound
oiint
ETH
eth
bigboxplusEgrave
egrave
bigoleftű
iquest
oint
Ugrave
ugrave
bigboxrightAacute
aacute
bigominus
40
Table 77 txfontspxfonts Variable-sized Math Operators
bigsqcapplus
13ointclockwise
bigsqcupplus
ointctrclockwise
gt fint
R Ssqiiint
(idotsint
P Qsqiint
ampiiiint
sqint
$iiint
F Gvaroiiintclockwise
iint
N Ovaroiiintctrclockwise
L Moiiintclockwise
B Cvaroiintclockwise
D Eoiiintctrclockwise
J Kvaroiintctrclockwise
) oiiint
- varointclockwise
H Ioiintclockwise
+ varointctrclockwise
Aoiintctrclockwise
varprod
oiint
41
Table 78 esint Variable-sized Math Operators
macr ˙dotsint
ı ointclockwise
ffl fint
permilointctrclockwise
ˇ ˘iiiint
rdquo bdquosqiint
˝ ˚iiint
rsaquo ldquosqint
˜ umliint
varoiint
amplanddownint
ff fivarointclockwise
$landupint
fl ffivarointctrclockwise
sbquo lsaquooiint
Table 79 bigints Variable-sized Math Operatorsint intbigint
∮ ∮bigointint int
bigints
∮ ∮bigointsint int
bigintss
∮ ∮bigointssint int
bigintsss∮ ∮
bigointsss
int intbigintssss
∮ ∮bigointssss
42
Table 80 MnSymbol Variable-sized Math Operators
⋂ ⋂ bigcap ⊖ ⊖ bigominus ∁ ∁ complement
⩀ ⩀ bigcapdot oplus oplus bigoplus ∐ ∐ coprod
$ bigcapplus ⊘ ⊘ bigoslash Z [ idotsint
bigcircle bigostar ⨌ ⨌ iiiint
⋃ ⋃ bigcup otimes otimes bigotimes ∭ ∭ iiint
⊍ ⊍ bigcupdot F G bigotriangle ∬ ∬ iint
⊎ ⊎ bigcupplus ⦶ ⦶ bigovert int int int
⋎ ⋎ bigcurlyvee + + bigplus ⨚ ⨚ landdownint
bigcurlyveedot ⊓ ⊓ bigsqcap ⨙ ⨙ landupint
⋏ ⋏ bigcurlywedge - bigsqcapdot ∲ ∲ lcircleleftint
bigcurlywedgedot 0 1 bigsqcapplus ∲ ∲ lcirclerightint
bigdoublecurlyvee ⊔ ⊔ bigsqcup ∯ ∯ oiint
bigdoublecurlywedge bigsqcupdot ∮ ∮ oint
⩔ ⩔ bigdoublevee 2 3 bigsqcupplus prod prod prod
⩕ ⩕ bigdoublewedge ⨉ ⨉ bigtimes ∳ ∳ rcircleleftint
⊛ ⊛ bigoast ⋁ ⋁ bigvee ∳ ∳ rcirclerightint
⦸ ⦸ bigobackslash bigveedot ⨏ ⨏ strokedint
⊚ ⊚ bigocirc ⋀ ⋀ bigwedge sum sum sum
⊙ ⊙ bigodot bigwedgedot ⨋ ⨋ sumint
MnSymbol defines biguplus as a synonym for bigcupplus
Table 81 fdsymbol Variable-sized Math Operators
⋂ ⋂ bigcap ⨆ ⨆ bigsqcup ∱ ∱ landupint
bigcapdot amp bigsqcupdot ∲ ∲ lcircleleftint
(continued on next page)
43
(continued from previous page)
bigcapplus + bigsqcupplus ∲ ∲ lcirclerightint
⋃ ⋃ bigcup ⨉ ⨉ bigtimes ∰ ∰ oiiint
⨃ ⨃ bigcupdot ⋁ ⋁ bigvee ∯ ∯ oiint
⨄ ⨄ bigcupplus bigveedot ∮ ∮ oint
bigcurlyvee ⋀ ⋀ bigwedge ⨊ ⨊ osum
bigcurlywedge bigwedgedot prod prod prod
⨈ ⨈ bigdoublevee ∐ ∐ coprod ∳ ∳ rcircleleftint
⨇ ⨇ bigdoublewedge ⨏ ⨏ fint ∳ ∳ rcirclerightint
2 3 bigoast L M idotsint sum sum sum
⨀ ⨀ bigodot ⨌ ⨌ iiiint ⨋ ⨋ sumint
⨁ ⨁ bigoplus ∭ ∭ iiint ∐ ∐ varcoprod
⨂ ⨂ bigotimes ∬ ∬ iint ⨊ ⨊ varosum
bigplus int int int prod prod varprod
⨅ ⨅ bigsqcap ⨍ ⨍ intbar sum sum varsum
$ bigsqcapdot ⨎ ⨎ intBar ⨋ ⨋ varsumint
( ) bigsqcapplus ⨑ ⨑ landdownint
fdsymbol defines awint as a synonym for landdownint biguplus as asynonym for bigcupplus conjquant as a synonym for bigdoublewedgedisjquant as a synonym for bigdoublevee dotsint as a synonym foridotsint intclockwise as a synonym for landupint intctrclockwiseas a synonym for landdownint modtwosum as a synonym for osumointclockwise as a synonym for lcircleleftint ointctrclockwise
as a synonym for rcirclerightint varmodtwosum as a synonym forvarosum varointclockwise as a synonym for lcirclerightint andvarointctrclockwise as a synonym for rcircleleftint
Table 82 boisik Variable-sized Math Operators
intup
boisik additionally provides all of the symbols in Table 72
44
Table 83 stix Variable-sized Math Operators
⨑ ⨑ awint∐ ∐
coprod ∰ ∰ oiiint
⅀ ⅀
Bbbsum⨈ ⨈
disjquant ∯ ∯ oiint
⋂ ⋂
bigcap ⨏ ⨏ fint ∮ ∮ oint
⋃ ⋃
bigcup ⨌ ⨌ iiiint ∳ ∳ ointctrclockwise
⨃ ⨃
bigcupdot ∭ ∭ iiint ⨕ ⨕ pointint
⨀ ⨀
bigodot ∬ ∬ iintprod prod
prod
⨁ ⨁
bigoplus int int int ⨒ ⨒ rppolint
⨂ ⨂
bigotimes ⨍ ⨍ intbar ⨓ ⨓ scpolint
⨅ ⨅
bigsqcap ⨎ ⨎ intBar ⨖ ⨖ sqint
⨆ ⨆
bigsqcup ⨙ ⨙ intcapsum sum
sum
⫿ ⫿
bigtalloblong ∱ ∱ intclockwise ⨋ ⨋ sumint
⨉ ⨉
bigtimes ⨚ ⨚ intcup ⨛ ⨛ upint
⨄ ⨄
biguplus ⨗ ⨗ intlarhk ∲ ∲ varointclockwise
⋁ ⋁
bigvee ⨘ ⨘ intx⧹ ⧹
xbsol
⋀ ⋀
bigwedge ⨜ ⨜ lowint⧸ ⧸
xsol
⨐ ⨐ cirfnint⨊ ⨊
modtwosum
⨇ ⨇
conjquant ⨔ ⨔ npolint
By default each of the integral-producing commands in Table 83 points to aslanted version of the glyph as shown The upint package option typesets eachintegral instead as an upright version Slanted and upright integrals can bemixed however by explicitly using the commands shown in Table 84
45
Table 84 stix Integrals with Explicit Slant
int int intsl int int intup
∬ ∬ iintsl ∬ ∬ iintup
∭ ∭ iiintsl ∭ ∭ iiintup
∮ ∮ ointsl ∮ ∮ ointup
∯ ∯ oiintsl ∯ ∯ oiintup
∰ ∰ oiiintsl ∰ ∰ oiiintup
∱ ∱ intclockwisesl ∱ ∱ intclockwiseup
∲ ∲ varointclockwisesl ∲ ∲ varointclockwiseup
∳ ∳ ointctrclockwisesl ∳ ∳ ointctrclockwiseup
⨋ ⨋ sumintsl ⨋ ⨋ sumintup
⨌ ⨌ iiiintsl ⨌ ⨌ iiiintup
⨍ ⨍ intbarsl ⨍ ⨍ intbarup
⨎ ⨎ intBarsl ⨎ ⨎ intBarup
⨏ ⨏ fintsl ⨏ ⨏ fintup
⨐ ⨐ cirfnintsl ⨐ ⨐ cirfnintup
⨑ ⨑ awintsl ⨑ ⨑ awintup
⨒ ⨒ rppolintsl ⨒ ⨒ rppolintup
⨓ ⨓ scpolintsl ⨓ ⨓ scpolintup
⨔ ⨔ npolintsl ⨔ ⨔ npolintup
(continued on next page)
46
(continued from previous page)
⨕ ⨕ pointintsl ⨕ ⨕ pointintup
⨖ ⨖ sqintsl ⨖ ⨖ sqintup
⨗ ⨗ intlarhksl ⨗ ⨗ intlarhkup
⨘ ⨘ intxsl ⨘ ⨘ intxup
⨙ ⨙ intcapsl ⨙ ⨙ intcapup
⨚ ⨚ intcupsl ⨚ ⨚ intcupup
⨛ ⨛ upintsl ⨛ ⨛ upintup
⨜ ⨜ lowintsl ⨜ ⨜ lowintup
Instead of using the preceding symbols directly it is generally preferable to usethe symbols listed in Table 83 either with or without the upint package optionSpecifying upint selects each integralrsquos upright (up) variant while omittingupint selects each integralrsquos slanted (sl) variant Use the symbols shown inTable 84 only when you need to include both upright and slanted variations ofa symbol in the same document
Table 85 mathdesign Variable-sized Math Operators
intclockwise
ointclockwise
oiiint
ointctrclockwise
oiint
The mathdesign package provides three versions of each integralmdashin fact ofevery symbolmdashto accompany different text fonts Utopia (
int
) Garamond (int
)
and Charter (int
)
47
Table 86 prodint Variable-sized Math Operators
P prodi R Prodi T PRODI
prodint currently requires the author to manually specify prodi for inlinedexpressions ($ $) Prodi for displayed math ([ ]) and PRODI for dis-played math involving tall integrands The package does not define a productintegral command that scales automatically akin to the symbols in Table 72
Table 87 cmll Large Math Operators
˙bigparr
˘bigwith
cmll defines biginvamp as a synonym for bigparr
Table 88 Binary Relations
asymp approx equiv equiv perp perp smile
≍ asymp frown ≺ prec ≻ succ
◁▷ bowtie Z Join ⪯ preceq ⪰ succeq
cong | middagger prop propto ⊢ vdash
⊣ dashv |= models sim sim
doteq parallel ≃ simeq
Not predefined by the LATEX 2120576 core Use the latexsym package to expose thissymbol
dagger The difference between mid and | is that the former is a binary relationwhile the latter is a math ordinal Consequently LATEX typesets the twowith different surrounding spacing Contrast ldquoP(A | B)rdquo ↦rarr ldquo119875 (119860|119861)rdquo withldquoP(A mid B)rdquo ↦rarr ldquo119875 (119860 | 119861)rdquo
Table 89 119964ℳ119982 Binary Relations
u approxeq P eqcirc v succapprox
backepsilon fallingdotseq lt succcurlyeq
v backsim ( multimap succsim
w backsimeq t pitchfork there4 therefore
∵ because w precapprox asymp thickapprox
G between 4 preccurlyeq sim thicksim
m Bumpeq - precsim prop varpropto
l bumpeq risingdotseq 13 Vdash
$ circeq p shortmid vDash
2 curlyeqprec q shortparallel Vvdash
3 curlyeqsucc a smallfrown
+ doteqdot ` smallsmile
48
Table 90 119964ℳ119982 Negated Binary Relations
ncong nshortparallel 3 nVDash
- nmid nsim precnapprox
∦ nparallel nsucc precnsim
⊀ nprec nsucceq succnapprox
npreceq 2 nvDash succnsim
nshortmid 0 nvdash
Table 91 stmaryrd Binary Relations
A inplus B niplus
Table 92 wasysym Binary Relations
invneg leadsto wasypropto
Z Join logof
Table 93 txfontspxfonts Binary Relations
S circledgtr X lJoin ] opentimes
R circledless lrtimes y Perp
13 colonapprox ( multimap preceqq
Colonapprox multimapboth precneqq
D coloneq multimapbothvert Y rJoin
H Coloneq multimapdot K strictfi
F Coloneqq multimapdotboth J strictif
B coloneqq multimapdotbothA L strictiff
Colonsim multimapdotbothAvert succeqq
colonsim multimapdotbothB succneqq
I Eqcolon multimapdotbothBvert ∥ varparallel
E eqcolon multimapdotbothvert varparallelinv
C eqqcolon multimapdotinv VvDash
G Eqqcolon multimapinv
h eqsim [ openJoin
As an alternative to using txfontspxfonts a ldquo=rdquo symbol can be constructedwith ldquomathrelmathop=rdquo
Table 94 txfontspxfonts Negated Binary Relations
6 napproxeq $ npreccurlyeq 5 nthickapprox
- nasymp 9 npreceqq h ntwoheadleftarrow
nbacksim nprecsim g ntwoheadrightarrow
+ nbacksimeq nsimeq nvarparallel
( nbumpeq 8 nsuccapprox nvarparallelinv
) nBumpeq nsucccurlyeq 1 nVdash
nequiv nsucceqq
7 nprecapprox nsuccsim
49
Table 95 mathabx Binary Relations
between divides laquo risingdotseq
rdquo botdoteq bdquo dotseq Ccedil succapprox
ı Bumpedeq permil eqbumped ě succcurlyeq
bumpedeq ff eqcirc Iacute succdot
circeq mdash eqcolon Aacute succsim
ndash coloneq raquo fallingdotseq 6 therefore
fl corresponds Iuml ggcurly ldquo topdoteq
ű curlyeqprec Icirc llcurly ( vDash
ů curlyeqsucc AElig precapprox Vdash
) DashV ď preccurlyeq ( VDash
) Dashv Igrave precdot Vvdash
- dashVv Agrave precsim
Table 96 mathabx Negated Binary Relations
ff napprox M notperp nvDash
fl ncong ć nprec nVDash
yuml ncurlyeqprec Egrave nprecapprox nVdash
ź ncurlyeqsucc ę npreccurlyeq amp nvdash
+ nDashv ł npreceq nVvash
ndashV Acirc nprecsim Ecirc precnapprox
rsquo ndashv nsim ň precneq
+ nDashV fi nsimeq Auml precnsim
ndashVv č nsucc Euml succnapprox
permil neq Eacute nsuccapprox ŋ succneq
ffi notasymp ğ nsucccurlyeq Aring succnsim
ffl notdivides ń nsucceq
ı notequiv Atilde nsuccsim
The changenotsign command toggles the behavior of not to produce eithera vertical or a diagonal slash through a binary operator Thus ldquo$a not= b$rdquocan be made to produce either ldquo119886 shy= 119887rdquo or ldquo119886 shy= 119887rdquo
Table 97 MnSymbol Binary Relations
asymp approx ≙ hateq rightpropto
≊ approxeq hcrossing ⪧ rightslice
backapprox z leftfootline ⊩ rightVdash
backapproxeq leftfree ⊢ rightvdash
≌ backcong acirc leftmodels ≓ risingdotseq
backeqsim ograve leftModels sefootline
∽ backsim prop leftpropto sefree
⋍ backsimeq ETH leftrightline divide seModels
backtriplesim Ocirc Leftrightline ccedil semodels
between ⪦ leftslice separated
≏ bumpeq ecirc leftVdash iuml seVdash
(continued on next page)
50
(continued from previous page)
≎ Bumpeq ⊣ leftvdash szlig sevdash
≗ circeq | nefootline ∥ shortparallel
Uuml closedequal nefree sim sim
frac12 closedprec ocirc neModels ≃ simeq
raquo closedsucc auml nemodels ≻ succ
∶= coloneq Ograve neswline ⪸ succapprox
cong cong Ouml Neswline ≽ succcurlyeq
⋞ curlyeqprec igrave neVdash ⪰ succeq
⋟ curlyeqsucc Uuml nevdash ≿ succsim
≑ Doteq nwfootline ~ swfootline
≐ doteq nwfree swfree
downfootline aring nwmodels ouml swModels
⫝ downfree otilde nwModels aelig swmodels
atilde downmodels nwsecrossing icirc swVdash
oacute downModels times Nwseline THORN swvdash
downpropto Oacute nwseline ≋ triplesim
⊤ downvdash Yacute nwvdash ∣ updownline
downVdash iacute nwVdash ∥ Updownline
eqbump ≺ prec y upfootline
≖ eqcirc ⪷ precapprox upfree
⩦ eqdot ≼ preccurlyeq ntilde upModels
≂ eqsim ⪯ preceq aacute upmodels
= equal ≾ precsim uppropto
Yacute equalclosed x rightfootline perp upvdash
equiv equiv rightfree upVdash
THORN equivclosed ⊧ rightmodels vcrossing
≒ fallingdotseq ⊫ rightModels ⊪ Vvdash
MnSymbol additionally defines synonyms for some of the preceding symbols
⊣ dashv (same as leftvdash)Oacute diagdown (same as nwseline)Ograve diagup (same as neswline)Ograve divides (same as updownline)≑ doteqdot (same as Doteq)⊧ models (same as rightmodels)∥ parallel (same as Updownline)perp perp (same as upvdash)prop propto (same as leftpropto)ETH relbar (same as leftrightline)Ocirc Relbar (same as Leftrightline)prop varpropto (same as leftpropto)⊧ vDash (same as rightmodels)⊫ VDash (same as rightModels)⊢ vdash (same as rightvdash)⊩ Vdash (same as rightVdash)
51
Table 98 MnSymbol Negated Binary Relations
≉ napprox z nleftfootline nrisingdotseq
napproxeq nleftfree nsefootline
nbackapprox acirc nleftmodels nsefree
nbackapproxeq ograve nleftModels divide nseModels
nbackcong ETH nleftrightline ccedil nsemodels
nbackeqsim Ocirc nLeftrightline szlig nsevdash
nbacksim Uacute nleftvdash iuml nseVdash
nbacksimeq ecirc nleftVdash ∤ nshortmid
nbacktriplesim | nnefootline ∦ nshortparallel
nbumpeq nnefree ≁ nsim
nBumpeq auml nnemodels ≄ nsimeq
sup3 ncirceq ocirc nneModels ⊁ nsucc
eacute nclosedequal Ograve nneswline eacute nsuccapprox
≇ ncong Ouml nNeswline ⋡ nsucccurlyeq
ograve ncurlyeqprec igrave nneVdash atilde nsucceq
oacute ncurlyeqsucc Uuml nnevdash ccedil nsuccsim
ndoteq nnwfootline ~ nswfootline
nDoteq nnwfree nswfree
ndownfootline aring nnwmodels ouml nswModels
⫝̸ ndownfree otilde nnwModels aelig nswmodels
oacute ndownModels times nNwseline THORN nswvdash
atilde ndownmodels Oacute nnwseline icirc nswVdash
euml ndownVdash Yacute nnwvdash ~ ntriplesim
Ucirc ndownvdash iacute nnwVdash ∦ nUpdownline
neqbump ⊀ nprec ∤ nupdownline
sup2 neqcirc egrave nprecapprox y nupfootline
neqdot ⋠ npreccurlyeq nupfree
neqsim acirc npreceq ntilde nupModels
ne nequal aelig nprecsim aacute nupmodels
ecirc nequalclosed x nrightfootline eacute nupVdash
≢ nequiv nrightfree Ugrave nupvdash
euml nequivclosed ⊯ nrightModels ⪹ precnapprox
neswcrossing ⊭ nrightmodels ⋨ precnsim
nfallingdotseq ⊬ nrightvdash ⪺ succnapprox
micro nhateq ⊮ nrightVdash ⋩ succnsim
MnSymbol additionally defines synonyms for some of the preceding symbols
Uacute ndashv (same as nleftvdash)Oacute ndiagdown (same as nnwseline)Ograve ndiagup (same as nneswline)∤ ndivides (same as nupdownline)ne ne (same as nequal)ne neq (same as nequal)∤ nmid (same as nupdownline)⊭ nmodels (same as nrightmodels)∦ nparallel (same as nUpdownline)Ugrave nperp (same as nupvdash)ETH nrelbar (same as nleftrightline)Ocirc nRelbar (same as nLeftrightline)⊭ nvDash (same as nrightmodels)⊬ nvdash (same as nrightvdash)⊮ nVdash (same as nrightVdash)⊯ nVDash (same as nrightModels)
52
Table 99 fdsymbol Binary Relations
asymp approx equiv equiv ⊧ rightmodels
≊ approxeq ≒ fallingdotseq ⊩ rightVdash
≌ backcong frown ⊫ rightVDash
backpropto ≘ frowneq ⊢ rightvdash
∽ backsim frownsmile ⊨ rightvDash
⋍ backsimeq isin in ≓ risingdotseq
≬ between ⫞ leftassert ∣ shortmid
⋈ bowtie ⫣ leftAssert ∥ shortparallel
≏ bumpeq not leftfootline sim sim
≎ Bumpeq icirc leftmodels ≃ simeq
⪮ bumpeqq ⊣ leftvdash smile
≗ circeq ⫤ leftvDash smileeq
≔ coloneq ⫣ leftVdash ≍ smilefrown
cong cong ⫥ leftVDash ≛ stareq
crossing ⟝ longleftfootline ≻ succ
⋞ curlyeqprec ⟽ Longmapsfrom ⪸ succapprox
⋟ curlyeqsucc ⟻ longmapsfrom ≽ succcurlyeq
yacute dashVv ⟞ longrightfootline ⪰ succeq
yuml Ddashv ∣ mid ⪴ succeqq
cong dotcong ni owns ≿ succsim
≐ doteq ∥ parallel asymp thickapprox
≑ Doteq ≺ prec sim thicksim
∺ dotsminusdots ⪷ precapprox ≋ triplesim
⫧ downAssert ≼ preccurlyeq ⫠ upassert
⫟ downassert ⪯ preceq ⫨ upAssert
iuml downmodels ⪳ preceqq iacute upmodels
⫪ downvDash ⪹ precnapprox perp upvdash
downVdash ⪱ precneq ⫫ upvDash
⊤ downvdash ⪵ precneqq upVdash
ucirc downVDash ⋨ precnsim ugrave upVDash
≖ eqcirc ≾ precsim ⫢ vDdash
≕ eqcolon prop propto ≚ veeeq
⩦ eqdot ⊦ rightassert ⊪ Vvdash
≂ eqsim ⊩ rightAssert ≙ wedgeq
= equal shy rightfootline
fdsymbol defines synonyms for many of the preceding symbols
≋ approxident ⫣ dashV ⊦ shortrighttack
≘ arceq ≑ doteqdot ⫠ shortuptack
⊩ Assert ≕ eqqcolon smallfrown
⊦ assert ≙ hateq smallsmile
≍ asymp ⋈ Join prop varpropto
⫧ Barv ⟞ longdashv ⫨ vBar
⫪ barV ⊧ models ⫫ Vbar
closure ni ni ⊨ vDash
≔ coloneqq perp perp ⊫ VDash
⊣ dashv propfrom ⊩ Vdash
⫥ DashV ⫟ shortdowntack ⊢ vdash
⫤ Dashv ⫞ shortlefttack ⟝ vlongdash
53
Table 100 fdsymbol Negated Binary Relations
Oacute backsimneqq notin nin ≁ nsim
≉ napprox ouml nleftAssert ≄ nsimeq
u napproxeq aelig nleftassert ~ nsmile
t nbackcong not nleftfootline nsmileeq
m nbacksim icirc nleftmodels ≭ nsmilefrown
q nbacksimeq ecirc nleftvDash nstareq
v nbumpeq acirc nleftvdash ⊁ nsucc
x nBumpeq ograve nleftVdash Ccedil nsuccapprox
w nbumpeqq uacute nleftVDash ⋡ nsucccurlyeq
ncirceq AElig nlongleftfootline iquest nsucceq
≇ ncong Atilde nLongmapsfrom Atilde nsucceqq
ETH ncurlyeqprec Aacute nlongmapsfrom Aring nsuccsim
Ntilde ncurlyeqsucc Ccedil nlongrightfootline o ntriplesim
yacute ndashVv ∤ nmid aring nupassert
yuml nDdashv ∌ nowns otilde nupAssert
y ndoteq ∦ nparallel iacute nupmodels
nDoteq ⊀ nprec ugrave nupVDash
ccedil ndownassert AElig nprecapprox eacute nupvDash
divide ndownAssert ⋠ npreccurlyeq ntilde nupVdash
iuml ndownmodels frac34 npreceq aacute nupvdash
atilde ndownvdash Acirc npreceqq thorn nvDdash
oacute ndownVdash Auml nprecsim nveeeq
ucirc ndownVDash auml nrightassert uuml nVvdash
euml ndownvDash ⊮ nrightAssert nwedgeq
neqcirc shy nrightfootline ⪱ precneq
z neqdot igrave nrightmodels ⪵ precneqq
r neqsim ⊬ nrightvdash ≆ simneqq
ne nequal ⊮ nrightVdash ⪺ succnapprox
≢ nequiv ⊭ nrightvDash ⪲ succneq
| nfallingdotseq ⊯ nrightVDash ⪶ succneqq
nfrown nrisingdotseq ⋩ succnsim
nfrowneq ∤ nshortmid
nfrownsmile ∦ nshortparallel
fdsymbol defines synonyms for many of the preceding symbols
o napproxident ograve ndashV auml nshortrighttack
narceq ne ne aring nshortuptack
⊮ nAssert ne neq ≄ nsime
auml nassert nhateq otilde nvBar
≭ nasymp Ccedil nlongdashv eacute nVbar
divide nBarv igrave nmodels ⊮ nVdash
euml nbarV ∌ nni ⊭ nvDash
nclosure notin notin ⊯ nVDash
uacute nDashV aacute nperp ⊬ nvdash
ecirc nDashv ccedil nshortdowntack AElig nvlongdash
acirc ndashv aelig nshortlefttack
54
Table 101 boisik Binary Relations
eth ac gt fatslash scurel
Yacute approxeq thorn forkv frac34 shortmid
arceq yacute frown iquest shortparallel
Ntilde backsim euml ggcurly simrdots
Oacute backsimeq gt hash frac12 smallfrown
` bagmember para inplus frac14 smallsmile
para because kernelcontraction uuml smile
middot between ecirc llcurly igrave strictfi
AElig bumpeq sup3 multimap iacute strictif
Ccedil Bumpeq Agrave multimapboth sup1 succapprox
Ugrave circeq AElig multimapbothvert Iuml succcurlyeq
CircledEq acute multimapdot succnapprox
aelig cong Aacute multimapdotboth succneqq
corresponds Atilde multimapdotbothA succnsim
Igrave curlyeqprec Eacute multimapdotbothAvert raquo succsim
Iacute curlyeqsucc Acirc multimapdotbothB micro therefore
Ucirc dashV Egrave multimapdotbothBvert Acirc thickapprox
Uacute DashV Ccedil multimapdotbothvert ETH thicksim
Oslash dashVv Aring multimapdotinv yuml topfork
Ecirc dfourier Auml multimapinv Oslash triangleq
Euml Dfourier middot niplus varhash
lt disin = nisd cedil varisins
doteq aring Perp sup1 varnis
Ucirc doteqdot szlig pitchfork szlig varpropto
dotminus cedil precapprox cedil Vdash
dotsim Icirc preccurlyeq raquo vDash
eqbumped precnapprox ordm VDash
Uacute eqcirc precneqq veeeq
Ograve eqsim precnsim sup1 Vvdash
ocirc equalparallel ordm precsim Igrave ztransf
Yacute fallingdotseq prurel Iacute Ztransf
fatbslash Uuml risingdotseq
Table 102 boisik Negated Binary Relations
ncong npreceq sup3 nVDash
auml neq reg nshortmid plusmn nVdash
nequiv macr nshortparallel deg nvdash
shy nmid nsim sup2 nvDash
not nparallel nsucc
nprec nsucceq
55
Table 103 stix Binary Relations
asymp approx ⧥ eqvparsl ⥽ rightfishtail
≊ approxeq ≒ fallingdotseq ⥰ rightimply
⩰ approxeqq ⧓ fbowtie ⤚ righttail
≋ approxident ⫝ forksnot ≓ risingdotseq
≘ arceq ⫙ forkv ⫎ rsqhook
⊦ assert frown ⧴ ruledelayed
⩮ asteq ⧦ gleichstark ⊱ scurel
≍ asymp ⩯ hatapprox ⫟ shortdowntack
≌ backcong ⊷ imageof ⫞ shortlefttack
∽ backsim isin in ∣ shortmid
⋍ backsimeq ⋵ isindot ∥ shortparallel
⋿ bagmember ⋹ isinE ⫠ shortuptack
⫧ Barv ⋷ isinobar sim sim
⫪ barV ⋴ isins ≃ simeq
≬ between ⋸ isinvb ⩬ simminussim
⫭ bNot ∻ kernelcontraction ≆ simneqq
⋈ bowtie ⤛ leftdbltail ⩫ simrdots
≎ Bumpeq ⥼ leftfishtail smallfrown
≏ bumpeq ⤙ lefttail ∊ smallin
⪮ bumpeqq ⧑ lfbowtie ∍ smallni
⟟ cirbot ⧔ lftimes smallsmile
≗ circeq ⟞ longdashv ⧤ smeparsl
⫯ cirmid ⫍ lsqhook smile
closure ≞ measeq ≛ stareq
⩴ Coloneq ∣ mid ≻ succ
≔ coloneq ⫰ midcir ⪼ Succ
cong cong ⫛ mlcp ⪸ succapprox
⩭ congdot ⊧ models ≽ succcurlyeq
⋞ curlyeqprec ⊸ multimap ⪰ succeq
⋟ curlyeqsucc ⟜ multimapinv ⪴ succeqq
∹ dashcolon ni ni ⪺ succnapprox
⊣ dashv ⋾ niobar ⪲ succneq
⫣ dashV ⋼ nis ⪶ succneqq
⫤ Dashv ⋺ nisd ⋩ succnsim
⫥ DashV ⫬ Not ≿ succsim
⟚ DashVDash notchar asymp thickapprox
⟛ dashVdash ⊶ origof sim thicksim
⩷ ddotseq ∥ parallel ⫚ topfork
⋲ disin ⫳ parsim ⥾ upfishtail
≑ Doteq ⟂ perp ⟒ upin
≐ doteq ⋔ pitchfork ⋶ varisinobar
⩧ dotequiv ≺ prec ⋳ varisins
⩪ dotsim ⪻ Prec ⋽ varniobar
∺ dotsminusdots ⪷ precapprox ⋻ varnis
⥿ downfishtail ≼ preccurlyeq prop varpropto
⧟ dualmap ⪯ preceq ⫦ varVdash
⧣ eparsl ⪳ preceqq ⫨ vBar
≖ eqcirc ⪹ precnapprox ⫫ Vbar
≕ eqcolon ⪱ precneq ⫩ vBarv
≝ eqdef ⪵ precneqq ⊩ Vdash
⩦ eqdot ⋨ precnsim ⊢ vdash
(continued on next page)
56
(continued from previous page)
⩵ eqeq ≾ precsim ⊨ vDash
⩶ eqeqeq prop propto ⊫ VDash
⩳ eqqsim ⊰ prurel ⫢ vDdash
≂ eqsim ⟓ pullback ⋮ vdots
⋕ equalparallel ⟔ pushout ≚ veeeq
equiv equiv ≟ questeq ⩙ veeonwedge
≣ Equiv ⫮ revnmid vertoverlay
⩸ equivDD ⧒ rfbowtie ⟝ vlongdash
⩨ equivVert ⧕ rftimes ⊪ Vvdash
⩩ equivVvert ⤜ rightdbltail ≙ wedgeq
stix defines owns as a synonym for ni and doteqdot as a synonym forDoteq
Table 104 stix Negated Binary Relations
⫝̸ forks ⫲ nhpar ≄ nsime
≉ napprox ∤ nmid ⊁ nsucc
napproxeqq ∌ nni ⋡ nsucccurlyeq
≭ nasymp notin notin nsucceq
nBumpeq ∦ nparallel nvarisinobar
nbumpeq ⊀ nprec nvarniobar
≇ ncong ⋠ npreccurlyeq ⊭ nvDash
ncongdot npreceq ⊬ nvdash
ne ne ∤ nshortmid ⊯ nVDash
neqsim ∦ nshortparallel ⊮ nVdash
≢ nequiv ≁ nsim
stix defines neq as a synonym for ne nsimeq as a synonym for nsime andnforksnot as a synonym for forks
Table 105 mathtools Binary Relations
asymp Colonapprox minus coloneq minus Eqcolon
asymp colonapprox sim colonsim = eqqcolon
= coloneqq sim Colonsim = Eqqcolon
= Coloneqq dblcolon
minus Coloneq minus eqcolon
Similar symbols can be defined using mathtoolsrsquos vcentcolon which producesa colon centered on the fontrsquos math axis
== vs ==ldquo==rdquo ldquo=vcentcolon=rdquo
57
Table 106 turnstile Binary Relations
119886119887119888
119889119890119891dddtstileabcdef 119886119887119888
119889119890119891nntstileabcdef
119886119887119888
119889119890119891
stdtstileabcdef
119886119887119888
119889119890119891ddststileabcdef 119886119887119888
119889119890119891nnttstileabcdef
119886119887119888
119889119890119891
stststileabcdef
119886119887119888
119889119890119891ddtstileabcdef 119886119887119888
119889119890119891nsdtstileabcdef
119886119887119888
119889119890119891
sttstileabcdef
119886119887119888
119889119890119891ddttstileabcdef 119886119887119888
119889119890119891nsststileabcdef
119886119887119888
119889119890119891stttstileabcdef
119886119887119888
119889119890119891dndtstileabcdef 119886119887119888
119889119890119891nststileabcdef
119886119887119888
119889119890119891tddtstileabcdef
119886119887119888
119889119890119891dnststileabcdef 119886119887119888
119889119890119891nsttstileabcdef
119886119887119888
119889119890119891tdststileabcdef
119886119887119888
119889119890119891dntstileabcdef
119886119887119888
119889119890119891ntdtstileabcdef
119886119887119888
119889119890119891tdtstileabcdef
119886119887119888
119889119890119891dnttstileabcdef
119886119887119888
119889119890119891
ntststileabcdef119886119887119888
119889119890119891tdttstileabcdef
119886119887119888
119889119890119891dsdtstileabcdef
119886119887119888
119889119890119891
nttstileabcdef 119886119887119888
119889119890119891tndtstileabcdef
119886119887119888
119889119890119891dsststileabcdef
119886119887119888
119889119890119891ntttstileabcdef 119886119887119888
119889119890119891tnststileabcdef
119886119887119888
119889119890119891dststileabcdef
119886119887119888
119889119890119891sddtstileabcdef 119886119887119888
119889119890119891tntstileabcdef
119886119887119888
119889119890119891dsttstileabcdef
119886119887119888
119889119890119891sdststileabcdef 119886119887119888
119889119890119891tnttstileabcdef
119886119887119888
119889119890119891
dtdtstileabcdef119886119887119888
119889119890119891sdtstileabcdef 119886119887119888
119889119890119891tsdtstileabcdef
119886119887119888
119889119890119891
dtststileabcdef119886119887119888
119889119890119891sdttstileabcdef 119886119887119888
119889119890119891tsststileabcdef
119886119887119888
119889119890119891
dttstileabcdef 119886119887119888
119889119890119891sndtstileabcdef 119886119887119888
119889119890119891tststileabcdef
119886119887119888
119889119890119891dtttstileabcdef 119886119887119888
119889119890119891snststileabcdef 119886119887119888
119889119890119891tsttstileabcdef
119886119887119888
119889119890119891nddtstileabcdef 119886119887119888
119889119890119891sntstileabcdef
119886119887119888
119889119890119891
ttdtstileabcdef
119886119887119888
119889119890119891ndststileabcdef 119886119887119888
119889119890119891snttstileabcdef
119886119887119888
119889119890119891
ttststileabcdef
119886119887119888
119889119890119891ndtstileabcdef 119886119887119888
119889119890119891ssdtstileabcdef
119886119887119888
119889119890119891tttstileabcdef
119886119887119888
119889119890119891ndttstileabcdef 119886119887119888
119889119890119891ssststileabcdef
119886119887119888
119889119890119891
ttttstileabcdef
119886119887119888
119889119890119891nndtstileabcdef 119886119887119888
119889119890119891sststileabcdef
119886119887119888
119889119890119891nnststileabcdef 119886119887119888
119889119890119891ssttstileabcdef
Each of the above takes an optional argument that controls the size of the upperand lower expressions See the turnstile documentation for more information
58
Table 107 trsym Binary Relations
InversTransformHoriz TransformHoriz
InversTransformVert TransformVert
Table 108 trfsigns Binary Relations
dfourier
Dfourier
fourier Fourier
laplace Laplace
ztransf
Ztransf
Table 109 cmll Binary Relations
uml coh ˝ scoh
˚ incoh ˇ sincoh
sbquo Perp lsaquo simperp
˛ multimapboth
Table 110 colonequals Binary Relations
asymp approxcolon minus coloncolonminus = equalscoloncolon
asymp approxcoloncolon sim coloncolonsim minus minuscolon
asymp colonapprox = colonequals minus minuscoloncolon
coloncolon minus colonminus ratio
asymp coloncolonapprox sim colonsim sim simcolon
= coloncolonequals = equalscolon sim simcoloncolon
Table 111 fourier Binary Relations
Ocirc nparallelslant Euml parallelslant
Table 112 Subset and Superset Relations
sqsubset ⊒ sqsupseteq sup supset
⊑ sqsubseteq sub subset supe supseteq
A sqsupset sube subseteq
Not predefined by the LATEX 2120576 core Use the latexsym package to expose thissymbol
59
Table 113 119964ℳ119982 Subset and Superset Relations
nsubseteq j subseteqq supsetneqq
+ nsupseteq ( subsetneq varsubsetneq
nsupseteqq $ subsetneqq amp varsubsetneqq
sqsubset c Supset varsupsetneq
A sqsupset k supseteqq varsupsetneqq
b Subset ) supsetneq
Table 114 stmaryrd Subset and Superset Relations
D subsetplus E supsetplus
F subsetpluseq G supsetpluseq
Table 115 wasysym Subset and Superset Relations
sqsubset A sqsupset
Table 116 txfontspxfonts Subset and Superset Relations
a nsqsubset A nsqsupseteq nSupset
nsqsubseteq gt nSubset
b nsqsupset nsubseteqq
Table 117 mathabx Subset and Superset Relations
Ć nsqsubset Č nsupset Ě sqsupseteq Ě supseteq
Ű nsqSubset Ů nSupset Ŋ sqsupseteqq Ŋ supseteqq
Ę nsqsubseteq Ğ nsupseteq Ľ sqsupsetneq Ľ supsetneq
Ő nsqsubseteqq Ŕ nsupseteqq Ś sqsupsetneqq Ś supsetneqq
Č nsqsupset Ă sqsubset Ă subset Ł varsqsubsetneq
Ů nsqSupset Ť sqSubset Ť Subset Š varsqsubsetneqq
Ğ nsqsupseteq Ď sqsubseteq Ď subseteq Ń varsqsupsetneq
Ŕ nsqsupseteqq Ň sqsubseteqq Ň subseteqq Ş varsqsupsetneqq
Ć nsubset Ĺ sqsubsetneq Ĺ subsetneq Ł varsubsetneq
Ű nSubset Ř sqsubsetneqq Ř subsetneqq Š varsubsetneqq
Ę nsubseteq Ţ sqSupset Ą supset Ń varsupsetneq
Ő nsubseteqq Ą sqsupset Ţ Supset Ş varsupsetneqq
60
Table 118 MnSymbol Subset and Superset Relations
Ouml nSqsubset ⊈ nsubseteq ⋤ sqsubsetneq sube subseteq
ETH nsqsubset Uuml nsubseteqq ouml sqsubsetneqq ⫅ subseteqq
⋢ nsqsubseteq szlig nSupset _ Sqsupset ⊊ subsetneq
Ocirc nsqsubseteqq ⊅ nsupset ⊐ sqsupset ⫋ subsetneqq
times nSqsupset ⊉ nsupseteq ⊒ sqsupseteq ⋑ Supset
Ntilde nsqsupset Yacute nsupseteqq ] sqsupseteqq sup supset
⋣ nsqsupseteq ^ Sqsubset ⋥ sqsupsetneq supe supseteq
Otilde nsqsupseteqq ⊏ sqsubset divide sqsupsetneqq ⫆ supseteqq
THORN nSubset ⊑ sqsubseteq ⋐ Subset ⊋ supsetneq
nsub nsubset sqsubseteqq sub subset ⫌ supsetneqq
MnSymbol additionally defines varsubsetneq as a synonym for subsetneqvarsubsetneqq as a synonym for subsetneqq varsupsetneq as a synonymfor supsetneq and varsupsetneqq as a synonym for supsetneqq
Table 119 fdsymbol Subset and Superset Relations
not nsqsubset ⊈ nsubseteq ⋤ sqsubsetneq sube subseteq
sup2 nSqsubset cedil nsubseteqq THORN sqsubsetneqq ⫅ subseteqq
⋢ nsqsubseteq ⊅ nsupset ⊐ sqsupset ⊊ subsetneq
deg nsqsubseteqq raquo nSupset K Sqsupset ⫋ subsetneqq
shy nsqsupset ⊉ nsupseteq ⊒ sqsupseteq sup supset
sup3 nSqsupset sup1 nsupseteqq I sqsupseteqq ⋑ Supset
⋣ nsqsupseteq ⊏ sqsubset ⋥ sqsupsetneq supe supseteq
plusmn nsqsupseteqq J Sqsubset szlig sqsupsetneqq ⫆ supseteqq
nsub nsubset ⊑ sqsubseteq sub subset ⊋ supsetneq
ordm nSubset H sqsubseteqq ⋐ Subset ⫌ supsetneqq
fdsymbol additionally defines varsubsetneqq as a synonym for subsetneqqvarsubsetneq as a synonym for subsetneq varsupsetneqq as a synonymfor supsetneqq and varsupsetneq as a synonym for supsetneq
Table 120 boisik Subset and Superset Relations
nsubset acute sqSubset ordm subsetplus frac12 supsetpluseq
ordf nsubseteq micro sqSupset frac14 subsetpluseq varsubsetneq
cent nsubseteqq aacute sqsupset Eacute Supset brvbar varsubsetneqq
nsupset Egrave Subset Iacute supseteqq iexcl varsupsetneq
laquo nsupseteq Igrave subseteqq copy supsetneq sect varsupsetneqq
pound nsupseteqq uml subsetneq yen supsetneqq
agrave sqsubset curren subsetneqq raquo supsetplus
61
Table 121 stix Subset and Superset Relations
⟈ bsolhsub ⊒ sqsupseteq ⫗ suphsub
⫏ csub ⋥ sqsupsetneq ⥻ suplarr
⫑ csube ⫃ subedot ⫂ supmult
⫐ csup ⫁ submult ⋑ Supset
⫒ csupe ⥹ subrarr sup supset
⥺ leftarrowsubset ⋐ Subset ⫊ supsetapprox
nsqsubset sub subset ⟄ supsetcirc
⋢ nsqsubseteq ⫉ subsetapprox ⪾ supsetdot
nsqsupset ⟃ subsetcirc supe supseteq
⋣ nsqsupseteq ⪽ subsetdot ⫆ supseteqq
nsub nsubset sube subseteq ⊋ supsetneq
⊈ nsubseteq ⫅ subseteqq ⫌ supsetneqq
nsubseteqq ⊊ subsetneq ⫀ supsetplus
⊅ nsupset ⫋ subsetneqq ⫈ supsim
⊉ nsupseteq ⪿ subsetplus ⫔ supsub
nsupseteqq ⫇ subsim ⫖ supsup
⭄ rightarrowsupset ⫕ subsub ⊊ varsubsetneq
⊏ sqsubset ⫓ subsup ⫋ varsubsetneqq
⊑ sqsubseteq ⫘ supdsub ⊋ varsupsetneq
⋤ sqsubsetneq ⫄ supedot ⫌ varsupsetneqq
⊐ sqsupset ⟉ suphsol
Defined as an ordinary character not as a binary relation
Table 122 Inequalities
ge geq ≫ gg le leq ≪ ll neq
Table 123 119964ℳ119982 Inequalities
1 eqslantgtr m gtrdot Q lesseqgtr ngeq
0 eqslantless R gtreqless S lesseqqgtr ngeqq
= geqq T gtreqqless ≶ lessgtr ngeqslant
gt geqslant ≷ gtrless lesssim ≯ ngtr
≫ ggg amp gtrsim ≪ lll nleq
gnapprox gvertneqq lnapprox nleqq
13 gneq 5 leqq lneq nleqslant
gneqq 6 leqslant lneqq ≮ nless
gnsim lessapprox lnsim
gtrapprox l lessdot lvertneqq
62
Table 124 wasysym Inequalities
apprge gt apprle
Table 125 txfontspxfonts Inequalities
4 ngg ngtrsim nlesssim
ngtrapprox nlessapprox 3 nll
amp ngtrless nlessgtr
Table 126 mathabx Inequalities
ů eqslantgtr iexcl gtreqless Agrave lesssim č ngtr
ű eqslantless pound gtreqqless ll Eacute ngtrapprox
ě geq ż gtrless Icirc lll Atilde ngtrsim
ŕ geqq Aacute gtrsim Ecirc lnapprox ę nleq
gg ţ gvertneqq ň lneq ř nleqq
Iuml ggg ď leq š lneqq ć nless
Euml gnapprox ő leqq Auml lnsim Egrave nlessapprox
ŋ gneq AElig lessapprox ť lvertneqq Acirc nlesssim
ş gneqq Igrave lessdot ź neqslantgtr ń nvargeq
Aring gnsim ij lesseqgtr yuml neqslantless ł nvarleq
Ccedil gtrapprox iquest lesseqqgtr ğ ngeq ľ vargeq
Iacute gtrdot ž lessgtr ś ngeqq ĺ varleq
mathabx defines leqslant and le as synonyms for leq geqslant and ge
as synonyms for geq nleqslant as a synonym for nleq and ngeqslant
as a synonym for ngeq
63
Table 127 MnSymbol Inequalities
⪖ eqslantgtr ⪌ gtreqqless ≲ lesssim Atilde ngtreqless
⪕ eqslantless ≷ gtrless ≪ ll Ccedil ngtreqlessslant
ge geq oacute gtrneqqless ⋘ lll Aring ngtreqqless
⊵ geqclosed ≳ gtrsim ⪉ lnapprox ≹ ngtrless
u geqdot le leq ≨ lneqq ≰ nleq
≧ geqq ⊴ leqclosed ≴ lnsim ⋬ nleqclosed
⩾ geqslant t leqdot ntilde neqslantgtr igrave nleqdot
⪀ geqslantdot ≦ leqq eth neqslantless frac34 nleqq
≫ gg ⩽ leqslant ≱ ngeq ≰ nleqslant
⋙ ggg ⩿ leqslantdot ⋭ ngeqclosed icirc nleqslantdot
⪊ gnapprox lt less iacute ngeqdot ≮ nless
≩ gneqq ⪅ lessapprox iquest ngeqq ⋪ nlessclosed
≵ gnsim ⊲ lessclosed ≱ ngeqslant ecirc nlessdot
gt gtr ⋖ lessdot iuml ngeqslantdot Acirc nlesseqgtr
⪆ gtrapprox ⋚ lesseqgtr Eacute ngg AElig nlesseqgtrslant
⊳ gtrclosed N lesseqgtrslant Euml nggg Auml nlesseqqgtr
⋗ gtrdot ⪋ lesseqqgtr ≯ ngtr ≸ nlessgtr
⋛ gtreqless ≶ lessgtr ⋫ ngtrclosed Egrave nll
O gtreqlessslant ograve lessneqqgtr euml ngtrdot Ecirc nlll
MnSymbol additionally defines synonyms for some of the preceding symbols
⋙ gggtr (same as ggg)≩ gvertneqq (same as gneqq)⊲ lhd (same as lessclosed)⋘ llless (same as lll)≨ lvertneqq (same as lneqq)⋬ ntrianglelefteq (same as nleqclosed)⋪ ntriangleleft (same as nlessclosed)⋭ ntrianglerighteq (same as ngeqclosed)⋫ ntriangleright (same as ngtrclosed)⊳ rhd (same as gtrclosed)⊴ trianglelefteq (same as leqclosed)⊵ trianglerighteq (same as geqclosed)⊴ unlhd (same as leqclosed)⊵ unrhd (same as geqclosed)⊲ vartriangleleft (same as lessclosed)⊳ vartriangleright (same as gtrclosed)
64
Table 128 fdsymbol Inequalities
⪖ eqslantgtr ⩿ leqslantdot ngtrapprox
⪕ eqslantless ⪨ leqslcc copy ngtrcc
ge geq lt less ⋫ ngtrclosed
⊵ geqclosed ⪅ lessapprox Eacute ngtrdot
c geqdot ⪦ lesscc ngtreqless
≧ geqq ⊲ lessclosed ngtreqqless
⩾ geqslant ⋖ lessdot ngtreqslantless
⪀ geqslantdot ⋚ lesseqgtr ≹ ngtrless
⪩ geqslcc ⪋ lesseqqgtr ≵ ngtrsim
≫ gg ⋚ lesseqslantgtr ≰ nleq
⋙ ggg ≶ lessgtr ⋬ nleqclosed
⪊ gnapprox ≲ lesssim Ecirc nleqdot
⪈ gneq ≪ ll nleqq
≩ gneqq ⋘ lll nleqslant
⋧ gnsim ⪉ lnapprox Igrave nleqslantdot
gt gtr ⪇ lneq ordf nleqslcc
⪆ gtrapprox ≨ lneqq ≮ nless
⪧ gtrcc ⋦ lnsim nlessapprox
⊳ gtrclosed Iuml neqslantgtr uml nlesscc
⋗ gtrdot Icirc neqslantless ⋪ nlessclosed
⋛ gtreqless ≱ ngeq Egrave nlessdot
⪌ gtreqqless ⋭ ngeqclosed nlesseqgtr
⋛ gtreqslantless Euml ngeqdot nlesseqqgtr
≷ gtrless ngeqq nlesseqslantgtr
≳ gtrsim ngeqslant ≸ nlessgtr
le leq Iacute ngeqslantdot ≴ nlesssim
⊴ leqclosed laquo ngeqslcc nll
b leqdot iexcl ngg cent nlll
≦ leqq pound nggg
⩽ leqslant ≯ ngtr
fdsymbol defines synonyms for some of the preceding symbols
ge ge ⩿ lesdot copy ngtcc
⪩ gescc ⋚ lesg ngtreqlessslant
⪀ gesdot ⋚ lesseqgtrslant ordf nlescc
⋛ gesl ⊲ lhd Igrave nlesdot
⋙ gggtr ⋘ llless nlesg
⪧ gtcc ⪦ ltcc nlesseqgtrslant
⋛ gtreqlessslant ≨ lvertneqq uml nltcc
≩ gvertneqq laquo ngescc ⊳ rhd
(continued on next page)
65
(continued from previous page)
le le Iacute ngesdot ⊴ unlhd
⪨ lescc ngesl ⊵ unrhd
Table 129 boisik Inequalities
Euml eqslantgtr ugrave gtcir AElig lesseqqgtr ngeq
Ecirc eqslantless iquest gtrapprox Acirc lessgtr ngeqq
Aacute geqq Aring gtreqless frac14 lesssim ngeqslant
Eacute geqslant Ccedil gtreqqless Ouml lll ngtr
times ggg Atilde gtrless lnapprox nleq
uacute glj frac12 gtrsim lneq nleqq
gnapprox gvertneqq lneqq nleqslant
gneq Agrave leqq lnsim nless
gneqq Egrave leqslant Icirc Lt
gnsim frac34 lessapprox oslash ltcir
Iuml Gt Auml lesseqgtr lvertneqq
Table 130 stix Inequalities
⪘ egsdot ⩼ gtquest ⋦ lnsim
⪗ elsdot ⪆ gtrapprox ⪍ lsime
⋝ eqgtr ⥸ gtrarr ⪏ lsimg
⋜ eqless ⋗ gtrdot ⪡ Lt
⪚ eqqgtr ⋛ gtreqless ⪦ ltcc
⪙ eqqless ⪌ gtreqqless ⩹ ltcir
⪜ eqqslantgtr ≷ gtrless ⥶ ltlarr
⪛ eqqslantless ≳ gtrsim ⩻ ltquest
⪖ eqslantgtr ≩ gvertneqq ≨ lvertneqq
⪕ eqslantless ⪫ lat neqslantgtr
ge geq ⪭ late neqslantless
≧ geqq ⥷ leftarrowless ≱ ngeq
⫺ geqqslant le leq ngeqq
⩾ geqslant ≦ leqq ngeqslant
⪩ gescc ⫹ leqqslant ngg
⪀ gesdot ⩽ leqslant ≯ ngtr
⪂ gesdoto ⪨ lescc ≹ ngtrless
⪄ gesdotol ⩿ lesdot ≵ ngtrsim
(continued on next page)
66
(continued from previous page)
⪔ gesles ⪁ lesdoto ≰ nleq
≫ gg ⪃ lesdotor nleqq
⋙ ggg ⪓ lesges nleqslant
⫸ gggnest ⪅ lessapprox ≮ nless
⪥ gla ⋖ lessdot ≸ nlessgtr
⪒ glE ⋚ lesseqgtr ≴ nlesssim
⪤ glj ⪋ lesseqqgtr nll
⪊ gnapprox ≶ lessgtr ⪣ partialmeetcontraction
⪈ gneq ≲ lesssim ⭃ rightarrowgtr
≩ gneqq ⪑ lgE ⪠ simgE
⋧ gnsim ≪ ll ⪞ simgtr
⪎ gsime ⋘ lll ⪟ simlE
⪐ gsiml ⫷ lllnest ⪝ simless
⪢ Gt ⪉ lnapprox ⪪ smt
⪧ gtcc ⪇ lneq ⪬ smte
⩺ gtcir ≨ lneqq
stix defines le as a synonym for leq ge as a synonym for geq lllessas a synonym for lll gggtr as a synonym for ggg nle as a synonym fornleq and nge as a synonym for ngeq
Table 131 119964ℳ119982 Triangle Relations
J blacktriangleleft 7 ntriangleright D trianglerighteq
I blacktriangleright 4 ntrianglerighteq C vartriangleleft
6 ntriangleleft E trianglelefteq B vartriangleright
5 ntrianglelefteq triangleq
Table 132 stmaryrd Triangle Relations
P trianglelefteqslant Q trianglerighteqslant
R ntrianglelefteqslant S ntrianglerighteqslant
Table 133 mathabx Triangle Relations
Ž ntriangleleft Ÿ triangleleft Ÿ vartriangleleft
đ ntrianglelefteq IJ trianglelefteq Ź vartriangleright
Ż ntriangleright Ź triangleright
sect ntrianglerighteq İ trianglerighteq
67
Table 134 MnSymbol Triangle Relations
filledmedtriangledown largetriangleup smalltriangledown
filledmedtriangleleft medtriangledown smalltriangleleft
filledmedtriangleright ◁ medtriangleleft smalltriangleright
filledmedtriangleup ▷ medtriangleright smalltriangleup
filledtriangledown medtriangleup ≜ triangleeq
filledtriangleleft acute ntriangleeq ⊴ trianglelefteq
filledtriangleright ⋪ ntriangleleft ⊵ trianglerighteq
filledtriangleup ⋬ ntrianglelefteq ⊲ vartriangleleft
largetriangledown ⋫ ntriangleright ⊳ vartriangleright
◁ largetriangleleft ⋭ ntrianglerighteq
▷ largetriangleright d otriangle
MnSymbol additionally defines synonyms for many of the preceding sym-bols triangleq is a synonym for triangleeq lhd and lessclosed
are synonyms for vartriangleleft rhd and gtrclosed are syn-onyms for vartriangleright unlhd and leqclosed are syn-onyms for trianglelefteq unrhd and geqclosed are synonymsfor trianglerighteq blacktriangledown blacktriangleleftblacktriangleright and blacktriangle [sic] are synonyms forrespectively filledmedtriangledown filledmedtriangleleftfilledmedtriangleright and filledmedtriangleup triangleright
is a synonym for medtriangleright triangle vartriangle andbigtriangleup are synonyms for medtriangleup triangleleft is asynonym for medtriangleleft triangledown and bigtriangledown
are synonyms for medtriangledown nlessclosed is a synonym forntriangleleft ngtrclosed is a synonym for ntrianglerightnleqclosed is a synonym for ntrianglelefteq and ngeqclosed isa synonym for ntrianglerighteq
The title ldquoTriangle Relationsrdquo is a bit of a misnomer here as only triangleeq
and ntriangleeq are defined as TEX relations (class 3 symbols) Thelargetriangle symbols are defined as TEX ldquoordinaryrdquo characters (class 0)and all of the remaining characters are defined as TEX binary operators(class 2)
68
Table 135 fdsymbol Triangle Relations
⊵ geqclosed medtriangledown smallblacktriangleleft
⊳ gtrclosed ◁ medtriangleleft smallblacktriangleright
_ largetriangledown ▷ medtriangleright smallblacktriangleup
^ largetriangleup medtriangleup smalltriangledown
⊴ leqclosed ⋭ ngeqclosed smalltriangleleft
⊲ lessclosed ⋫ ngtrclosed smalltriangleright
medblacktriangledown ⋬ nleqclosed smalltriangleup
medblacktriangleleft ⋪ nlessclosed ≜ triangleeq
medblacktriangleright ntriangleeq
medblacktriangleup smallblacktriangledown
fdsymbol defines synonyms for almost all of the preceding symbols
_ bigtriangledown ⋬ ntrianglelefteq ≜ triangleq
^ bigtriangleup ⋫ ntriangleright ▷ triangleright
blacktriangle ⋭ ntrianglerighteq ⊵ trianglerighteq
blacktriangledown triangle vartriangle
blacktriangleleft triangledown ⊲ vartriangleleft
blacktriangleright ◁ triangleleft ⊳ vartriangleright
⋪ ntriangleleft ⊴ trianglelefteq
The title ldquoTriangle Relationsrdquo is a bit of a misnomer here as only triangleeq
and ntriangleeq are defined as TEX relations (class 3 symbols) Thelargetriangle symbols are defined as TEX ldquoordinaryrdquo characters (class 0)and all of the remaining characters are defined as TEX binary operators(class 2)
Table 136 boisik Triangle Relations
para ntriangleleft ccedil trianglelefteq auml varlrttriangle
micro ntrianglelefteq Ograve trianglelefteqslant igrave vartriangle
middot ntriangleright thorn triangleright aring vartriangleleft
acute ntrianglerighteq aelig trianglerighteq auml vartriangleright
yuml triangleleft Oacute trianglerighteqslant
Table 137 stix Triangle Relations
⧡ lrtriangleeq ⋫ nvartriangleright vartriangle
⧏ ltrivb ⧎ rtriltri ⊲ vartriangleleft
⋬ ntrianglelefteq ⊴ trianglelefteq ⊳ vartriangleright
⋭ ntrianglerighteq ≜ triangleq ⧐ vbrtri
⋪ nvartriangleleft ⊵ trianglerighteq
69
Table 138 Arrows
dArr Downarrow larrminus longleftarrow nwarrow
darr downarrow lArr= Longleftarrow rArr Rightarrow
larr˒ hookleftarrow larrrarr longleftrightarrow rarr rightarrow
˓rarr hookrightarrow lArrrArr Longleftrightarrow searrow
leadsto ↦minusrarr longmapsto swarrow
larr leftarrow =rArr Longrightarrow uarr uparrow
lArr Leftarrow minusrarr longrightarrow uArr Uparrow
hArr Leftrightarrow ↦rarr mapsto updownarrow
harr leftrightarrow nearrowdagger Updownarrow
Not predefined by the LATEX 2120576 core Use the latexsym package to expose thissymbol
dagger See the note beneath Table 240 for information about how to put a diagonal
arrow across a mathematical expression (as in ldquo 0
nabla middot rdquo)
Table 139 Harpoons
leftharpoondown rightharpoondown rightleftharpoons
leftharpoonup rightharpoonup
Table 140 textcomp Text-mode Arrows
darr textdownarrow rarr textrightarrow
larr textleftarrow uarr textuparrow
Table 141 119964ℳ119982 Arrows
circlearrowleft hArr leftleftarrows rightleftarrows
circlearrowright leftrightarrows rArr rightrightarrows
x curvearrowleft leftrightsquigarrow rightsquigarrow
y curvearrowright W Lleftarrow Rsh
c dashleftarrow looparrowleft twoheadleftarrow
d dashrightarrow looparrowright twoheadrightarrow
downdownarrows Lsh upuparrows
leftarrowtail rightarrowtail
Table 142 119964ℳ119982 Negated Arrows
nLeftarrow lt nLeftrightarrow nRightarrow
8 nleftarrow = nleftrightarrow 9 nrightarrow
Table 143 119964ℳ119982 Harpoons
downharpoonleft leftrightharpoons upharpoonleft
downharpoonright rightleftharpoons upharpoonright
70
Table 144 stmaryrd Arrows
^ leftarrowtriangle lArr Mapsfrom shortleftarrow
- leftrightarroweq larr[ mapsfrom shortrightarrow
] leftrightarrowtriangle rArr Mapsto shortuparrow
lightning 1 nnearrow ssearrow
lArr= Longmapsfrom 0 nnwarrow $ sswarrow
larrminus[ longmapsfrom _ rightarrowtriangle
=rArr Longmapsto shortdownarrow
Table 145 txfontspxfonts Arrows
boxdotLeft circleddotright Diamondleft
boxdotleft circleleft Diamondright
boxdotright circleright DiamondRight
boxdotRight e dashleftrightarrow f leftsquigarrow
boxLeft DiamonddotLeft t Nearrow
boxleft Diamonddotleft v Nwarrow
boxright Diamonddotright V Rrightarrow
boxRight DiamonddotRight u Searrow
circleddotleft DiamondLeft w Swarrow
Table 146 mathabx Arrows
ouml circlearrowleft ETH leftarrow Ocirc nwarrow
œ circlearrowright ETH leftleftarrows aelig restriction
oacute curvearrowbotleft Oslash leftrightarrow Ntilde rightarrow
otilde curvearrowbotleftright Ocirc leftrightarrows Otilde rightleftarrows
ocirc curvearrowbotright uacute leftrightsquigarrow Ntilde rightrightarrows
eth curvearrowleft oslash leftsquigarrow ugrave rightsquigarrow
ograve curvearrowleftright uuml lefttorightarrow yacute righttoleftarrow
ntilde curvearrowright icirc looparrowdownleft eacute Rsh
ecirc dlsh iuml looparrowdownright Πsearrow
Oacute downdownarrows igrave looparrowleft Ouml swarrow
szlig downtouparrow iacute looparrowright Ouml updownarrows
Πdownuparrows egrave Lsh thorn uptodownarrow
euml drsh Otilde nearrow Ograve upuparrows
Table 147 mathabx Negated Arrows
ouml nLeftarrow Uuml nleftrightarrow Ucirc nrightarrow
Uacute nleftarrow oslash nLeftrightarrow œ nRightarrow
71
Table 148 mathabx Harpoons
THORN barleftharpoon agrave leftharpoonup eacute rightleftharpoons
szlig barrightharpoon Oslash leftleftharpoons Ugrave rightrightharpoons
Ucirc downdownharpoons agrave leftrightharpoon ecirc updownharpoons
aring downharpoonleft egrave leftrightharpoons auml upharpoonleft
ccedil downharpoonright Yacute rightbarharpoon aelig upharpoonright
euml downupharpoons atilde rightharpoondown Uacute upupharpoons
Uuml leftbarharpoon aacute rightharpoonup
acirc leftharpoondown aacute rightleftharpoon
Table 149 MnSymbol Arrows
Euml curvearrowdownup larrETH longleftarrow ⤦ rhookswarrow
Egrave curvearrowleftright lArrOcirc Longleftarrow 9 rhookuparrow
Igrave curvearrownesw larrrarr longleftrightarrow rarr rightarrow
Iacute curvearrownwse lArrrArr Longleftrightarrow rArr Rightarrow
Ecirc curvearrowrightleft zrarr longmapsto ↣ rightarrowtail
Iuml curvearrowsenw ETHrarr longrightarrow rightleftarrows
Icirc curvearrowswne OcircrArr Longrightarrow rightlsquigarrow
Eacute curvearrowupdown looparrowleft ↦ rightmapsto
dasheddownarrow looparrowright rightrightarrows
dashedleftarrow Lsh uml rightrsquigarrow
d dashednearrow nearrow Rrightarrow
e dashednwarrow Nearrow Rsh
dashedrightarrow $ nearrowtail searrow
g dashedsearrow curren nelsquigarrow Searrow
f dashedswarrow nemapsto searrowtail
dasheduparrow nenearrows sect selsquigarrow
dArr Downarrow not nersquigarrow semapsto
darr downarrow ⤡ neswarrow senwarrows
downarrowtail Neswarrow macr sersquigarrow
downdownarrows neswarrows sesearrows
pound downlsquigarrow nwarrow sup3 squigarrowdownup
downmapsto Nwarrow squigarrowleftright
laquo downrsquigarrow nwarrowtail acute squigarrownesw
downuparrows yen nwlsquigarrow micro squigarrownwse
yuml lcirclearrowdown - nwmapsto sup2 squigarrowrightleft
⤾ lcirclearrowleft nwnwarrows middot squigarrowsenw
⟳ lcirclearrowright shy nwrsquigarrow para squigarrowswne
lcirclearrowup ⤢ nwsearrow plusmn squigarrowupdown
⤸ lcurvearrowdown Nwsearrow swarrow
ordm lcurvearrowleft nwsearrows Swarrow
frac14 lcurvearrowne ∲ partialvardlcircleleftint amp swarrowtail
frac12 lcurvearrownw ∲ partialvardlcirclerightint brvbar swlsquigarrow
lcurvearrowright ∳ partialvardrcircleleftint swmapsto
iquest lcurvearrowse ∳ partialvardrcirclerightint swnearrows
frac34 lcurvearrowsw ∲ partialvartlcircleleftint reg swrsquigarrow
sup1 lcurvearrowup ∲ partialvartlcirclerightint swswarrows
lArr Leftarrow ∳ partialvartrcircleleftint twoheaddownarrow
(continued on next page)
72
(continued from previous page)
larr leftarrow ∳ partialvartrcirclerightint twoheadleftarrow
leftarrowtail ucirc rcirclearrowdown twoheadnearrow
leftleftarrows ⟲ rcirclearrowleft twoheadnwarrow
cent leftlsquigarrow ⤿ rcirclearrowright ↠ twoheadrightarrow
leftmapsto rcirclearrowup twoheadsearrow
harr leftrightarrow ⤹ rcurvearrowdown twoheadswarrow
hArr Leftrightarrow rcurvearrowleft twoheaduparrow
leftrightarrows Auml rcurvearrowne uarr uparrow
leftrsquigarrow Aring rcurvearrownw uArr Uparrow
3 lhookdownarrow Agrave rcurvearrowright uparrowtail
2 lhookleftarrow Ccedil rcurvearrowse updownarrow
4 lhooknearrow AElig rcurvearrowsw Updownarrow
⤣ lhooknwarrow Aacute rcurvearrowup updownarrows
lhookrightarrow rhookdownarrow iexcl uplsquigarrow
⤥ lhooksearrow rhookleftarrow upmapsto
6 lhookswarrow ⤤ rhooknearrow copy uprsquigarrow
1 lhookuparrow = rhooknwarrow upuparrows
lightning 8 rhookrightarrow
Lleftarrow rhooksearrow
MnSymbol additionally defines synonyms for some of the preceding symbols
circlearrowleft (same as rcirclearrowup) circlearrowright (same as lcirclearrowup) curvearrowleft (same as rcurvearrowleft) curvearrowright (same as lcurvearrowright) dashleftarrow (same as dashedleftarrow) dashrightarrow (same as dashedrightarrow) hookleftarrow (same as rhookleftarrow) hookrightarrow (same as lhookrightarrow) leadsto (same as rightlsquigarrow) leftrightsquigarrow (same as squigarrowleftright)↦ mapsto (same as rightmapsto) rightsquigarrow (same as rightlsquigarrow)
The partialvar int macros are intended to be used internally by MnSym-bol to produce various types of integrals
Table 150 MnSymbol Negated Arrows
Euml ncurvearrowdownup 5 nlhooknwarrow nrightleftarrows
Egrave ncurvearrowleftright 0 nlhookrightarrow nrightlsquigarrow
Igrave ncurvearrownesw 7 nlhooksearrow ( nrightmapsto
Iacute ncurvearrownwse 6 nlhookswarrow nrightrightarrows
Ecirc ncurvearrowrightleft 1 nlhookuparrow uml nrightrsquigarrow
Iuml ncurvearrowsenw otilde nLleftarrow ocirc nRrightarrow
Icirc ncurvearrowswne nnearrow nSearrow
Eacute ncurvearrowupdown nNearrow nsearrow
(continued on next page)
73
(continued from previous page)
c ndasheddownarrow $ nnearrowtail nsearrowtail
b ndashedleftarrow curren nnelsquigarrow sect nselsquigarrow
d ndashednearrow nnemapsto nsemapsto
e ndashednwarrow nnenearrows nsenwarrows
` ndashedrightarrow not nnersquigarrow macr nsersquigarrow
g ndashedsearrow nNeswarrow nsesearrows
f ndashedswarrow nneswarrow sup3 nsquigarrowdownup
a ndasheduparrow nneswarrows deg nsquigarrowleftright
ndownarrow 13 nNwarrow acute nsquigarrownesw
nDownarrow nnwarrow micro nsquigarrownwse
ndownarrowtail nnwarrowtail sup2 nsquigarrowrightleft
ndowndownarrows yen nnwlsquigarrow middot nsquigarrowsenw
pound ndownlsquigarrow - nnwmapsto para nsquigarrowswne
+ ndownmapsto nnwnwarrows plusmn nsquigarrowupdown
laquo ndownrsquigarrow shy nnwrsquigarrow nswarrow
ndownuparrows nnwsearrow nSwarrow
yuml nlcirclearrowdown nNwsearrow amp nswarrowtail
thorn nlcirclearrowleft nnwsearrows brvbar nswlsquigarrow
uuml nlcirclearrowright ucirc nrcirclearrowdown nswmapsto
yacute nlcirclearrowup uacute nrcirclearrowleft nswnearrows
raquo nlcurvearrowdown oslash nrcirclearrowright reg nswrsquigarrow
ordm nlcurvearrowleft ugrave nrcirclearrowup nswswarrows
frac14 nlcurvearrowne Atilde nrcurvearrowdown ntwoheaddownarrow
frac12 nlcurvearrownw Acirc nrcurvearrowleft ntwoheadleftarrow
cedil nlcurvearrowright Auml nrcurvearrowne ntwoheadnearrow
iquest nlcurvearrowse Aring nrcurvearrownw ntwoheadnwarrow
frac34 nlcurvearrowsw Agrave nrcurvearrowright ntwoheadrightarrow
sup1 nlcurvearrowup Ccedil nrcurvearrowse ntwoheadsearrow
nLeftarrow AElig nrcurvearrowsw ntwoheadswarrow
↚ nleftarrow Aacute nrcurvearrowup ntwoheaduparrow
nleftarrowtail nrhookdownarrow nuparrow
nleftleftarrows nrhookleftarrow nUparrow
cent nleftlsquigarrow lt nrhooknearrow nuparrowtail
nleftmapsto = nrhooknwarrow nupdownarrow
↮ nleftrightarrow 8 nrhookrightarrow nUpdownarrow
⇎ nLeftrightarrow nrhooksearrow nupdownarrows
nleftrightarrows gt nrhookswarrow iexcl nuplsquigarrow
ordf nleftrsquigarrow 9 nrhookuparrow ) nupmapsto
3 nlhookdownarrow ↛ nrightarrow copy nuprsquigarrow
2 nlhookleftarrow ⇏ nRightarrow nupuparrows
4 nlhooknearrow nrightarrowtail
MnSymbol additionally defines synonyms for some of the preceding symbols
74
ugrave ncirclearrowleft (same as nrcirclearrowup)yacute ncirclearrowright (same as nlcirclearrowup)Acirc ncurvearrowleft (same as nrcurvearrowleft)cedil ncurvearrowright (same as nlcurvearrowright)` ndasharrow (same as ndashedrightarrow)b ndashleftarrow (same as ndashedleftarrow)` ndashrightarrow (same as ndashedrightarrow)↚ ngets (same as nleftarrow) nhookleftarrow (same as nrhookleftarrow)0 nhookrightarrow (same as nlhookrightarrow) nleadsto (same as nrightlsquigarrow)deg nleftrightsquigarrow (same as nsquigarrowleftright)( nmapsto (same as nrightmapsto) nrightsquigarrow (same as nrightlsquigarrow)↛ nto (same as nrightarrow)
Table 151 MnSymbol Harpoons
downharpoonccw Z neswharpoons O seharpooncw
downharpooncw V neswharpoonsenw [ senwharpoons
⥯ downupharpoons E nwharpoonccw F swharpoonccw
leftharpoonccw M nwharpooncw N swharpooncw
leftharpooncw S nwseharpoonnesw ^ swneharpoons
⥊ leftrightharpoondownup _ nwseharpoons Q updownharpoonleftright
leftrightharpoons W nwseharpoonswne U updownharpoonrightleft
⥋ leftrightharpoonupdown rightharpoonccw ⥮ updownharpoons
D neharpoonccw rightharpooncw upharpoonccw
L neharpooncw rightleftharpoons upharpooncw
R neswharpoonnwse G seharpoonccw
Where marked the ldquoccwrdquo suffix can be replaced with ldquouprdquo and the ldquocwrdquo suffixcan be replaced with ldquodownrdquo (In addition upharpooncw can be written asrestriction)
Table 152 MnSymbol Negated Harpoons
C ndownharpoonccw Z nneswharpoons O nseharpooncw
K ndownharpooncw V nneswharpoonsenw [ nsenwharpoons
] ndownupharpoons E nnwharpoonccw F nswharpoonccw
B nleftharpoonccw M nnwharpooncw N nswharpooncw
J nleftharpooncw S nnwseharpoonnesw ^ nswneharpoons
T nleftrightharpoondownup _ nnwseharpoons Q nupdownharpoonleftright
nleftrightharpoons W nnwseharpoonswne U nupdownharpoonrightleft
P nleftrightharpoonupdown nrightharpoonccw Y nupdownharpoons
D nneharpoonccw H nrightharpooncw A nupharpoonccw
L nneharpooncw X nrightleftharpoons I nupharpooncw
R nneswharpoonnwse G nseharpoonccw
Where marked the ldquoccwrdquo suffix can be replaced with ldquouprdquo and the ldquocwrdquo suffixcan be replaced with ldquodownrdquo (In addition nupharpooncw can be written asnrestriction)
75
Table 153 fdsymbol Arrows
⟲ acwcirclearrowdown larr leftarrow rightrightarrows
acwcirclearrowleft leftarrowtail rightwavearrow
plusmn acwcirclearrowright leftbkarrow Rrightarrow
reg acwcirclearrowup leftleftarrows Rsh
⤹ acwleftarcarrow leftmapsto searrow
iexcl acwnearcarrow ⤆ Leftmapsto Searrow
cent acwnwarcarrow hArr Leftrightarrow searrowtail
⤺ acwoverarcarrow harr leftrightarrow g sebkarrow
acwrightarcarrow leftrightarrows senwarrows
⤴ acwsearcarrow leftrightwavearrow sesearrows
⤷ acwswarcarrow leftwavearrow Swarrow
⤻ acwunderarcarrow lightning swarrow
yen bdleftarcarrow Lleftarrow amp swarrowtail
laquo bdnearcarrow ⟸ Longleftarrow f swbkarrow
uml bdnwarcarrow ⟵ longleftarrow swnearrows
curren bdoverarcarrow ⟷ longleftrightarrow ~ swswarrows
sect bdrightarcarrow ⟺ Longleftrightarrow twoheaddownarrow
ordf bdsearcarrow ⬳ longleftwavearrow twoheadleftarrow
copy bdswarcarrow ⟽ Longmapsfrom twoheadnearrow
brvbar bdunderarcarrow ⟻ longmapsfrom twoheadnwarrow
⟳ cwcirclearrowdown ⟾ Longmapsto ↠ twoheadrightarrow
micro cwcirclearrowleft ⟼ longmapsto twoheadsearrow
cwcirclearrowright ⟶ longrightarrow twoheadswarrow
acute cwcirclearrowup ⟹ Longrightarrow twoheaduparrow
cwleftarcarrow ⟿ longrightwavearrow uarr uparrow
⤵ cwnearcarrow looparrowleft uArr Uparrow
cwnwarcarrow looparrowright uparrowtail
cwoverarcarrow Lsh upbkarrow
⤸ cwrightarcarrow nearrow Updownarrow
⤶ cwsearcarrow Nearrow updownarrow
cwswarcarrow $ nearrowtail updownarrows
cwunderarcarrow d nebkarrow updownwavearrow
⤋ Ddownarrow | nenearrows upmapsto
dArr Downarrow Neswarrow - Upmapsto
darr downarrow ⤡ neswarrow upuparrows
downarrowtail neswarrows upwavearrow
downbkarrow Nwarrow ⤊ Uuparrow
downdownarrows nwarrow vardownwavearrow
Downmapsto nwarrowtail 3 varhookdownarrow
downmapsto e nwbkarrow varhookleftarrow
⇵ downuparrows nwnwarrows ⤤ varhooknearrow
downwavearrow Nwsearrow ⤣ varhooknwarrow
hookdownarrow ⤢ nwsearrow varhookrightarrow
hookleftarrow nwsearrows ⤥ varhooksearrow
⤤ hooknearrow Rdsh ⤦ varhookswarrow
⤣ hooknwarrow rArr Rightarrow 9 varhookuparrow
hookrightarrow rarr rightarrow varleftrightwavearrow
⤥ hooksearrow ↣ rightarrowtail varleftwavearrow
⤦ hookswarrow rightbkarrow varrightwavearrow
1 hookuparrow rightleftarrows varupdownwavearrow
Ldsh ⤇ Rightmapsto varupwavearrow
(continued on next page)
76
(continued from previous page)
lArr Leftarrow ↦ rightmapsto
fdsymbol defines synonyms for most of the preceding symbols
⟲ acwgapcirclearrow leftrightsquigarrow ⤣ rhooknwarrow
acwopencirclearrow leftrsquigarrow rhookrightarrow
circlearrowleft leftsquigarrow ⤥ rhooksearrow
circlearrowright iexcl leftupcurvedarrow ⤦ rhookswarrow
⤺ curvearrowleft 3 lhookdownarrow 9 rhookuparrow
curvearrowright lhookleftarrow rightcurvedarrow
⟳ cwgapcirclearrow ⤤ lhooknearrow ⤷ rightdowncurvedarrow
cwopencirclearrow ⤣ lhooknwarrow rightlcurvearrow
dasharrow lhookrightarrow brvbar rightleftcurvearrow
dashleftarrow ⤥ lhooksearrow rightleftsquigarrow
dashrightarrow ⤦ lhookswarrow rightlsquigarrow
⤸ downlcurvearrow 1 lhookuparrow ⤻ rightrcurvearrow
cent downleftcurvedarrow ⟿ longleadsto rightrsquigarrow
downlsquigarrow ⬳ longleftsquigarrow rightsquigarrow
⤹ downrcurvearrow ⟿ longrightsquigarrow rightupcurvedarrow
⤵ downrightcurvedarrow mapsdown ⤵ selcurvearrow
downrsquigarrow Mapsdown laquo senwcurvearrow
sect downupcurvearrow mapsfrom ⤷ sercurvearrow
downupsquigarrow ⤆ Mapsfrom ⤶ swlcurvearrow
downzigzagarrow ↦ mapsto ordf swnecurvearrow
larr gets ⤇ Mapsto cent swrcurvearrow
⤤ hknearrow mapsup rarr to
⤣ hknwarrow - Mapsup yen updowncurvearrow
⤥ hksearrow nelcurvearrow updownsquigarrow
⤦ hkswarrow ⤴ nercurvearrow uplcurvearrow
leadsto uml neswcurvearrow upleftcurvedarrow
leftcurvedarrow nwlcurvearrow uplsquigarrow
⤶ leftdowncurvedarrow iexcl nwrcurvearrow uprcurvearrow
leftlcurvearrow copy nwsecurvearrow ⤴ uprightcurvearrow
leftlsquigarrow rhookdownarrow uprsquigarrow
⤺ leftrcurvearrow rhookleftarrow
curren leftrightcurvearrow ⤤ rhooknearrow
Table 154 fdsymbol Negated Arrows
deg nacwcirclearrowdown ↚ nleftarrow para nRrightarrow
macr nacwcirclearrowleft nLeftarrow nsearrow
plusmn nacwcirclearrowright nleftarrowtail nSearrow
reg nacwcirclearrowup b nleftbkarrow nsearrowtail
nacwleftarcarrow z nleftleftarrows g nsebkarrow
iexcl nacwnearcarrow nleftmapsto nsenwarrows
cent nacwnwarcarrow nLeftmapsto nsesearrows
nacwoverarcarrow ↮ nleftrightarrow nswarrow
(continued on next page)
77
(continued from previous page)
nacwrightarcarrow ⇎ nLeftrightarrow nSwarrow
nacwsearcarrow nleftrightarrows amp nswarrowtail
pound nacwswarcarrow nleftrightwavearrow f nswbkarrow
nacwunderarcarrow nleftwavearrow nswnearrows
yen nbdleftarcarrow cedil nLleftarrow ~ nswswarrows
laquo nbdnearcarrow raquo nlongleftarrow ntwoheaddownarrow
uml nbdnwarcarrow frac12 nLongleftarrow ntwoheadleftarrow
curren nbdoverarcarrow frac34 nlongleftrightarrow ntwoheadnearrow
sect nbdrightarcarrow iquest nLongleftrightarrow ntwoheadnwarrow
ordf nbdsearcarrow Aring nlongleftwavearrow ntwoheadrightarrow
copy nbdswarcarrow Aacute nlongmapsfrom ntwoheadsearrow
brvbar nbdunderarcarrow Atilde nLongmapsfrom ntwoheadswarrow
sup2 ncwcirclearrowdown Agrave nlongmapsto ntwoheaduparrow
micro ncwcirclearrowleft Acirc nLongmapsto nuparrow
sup3 ncwcirclearrowright ordm nlongrightarrow nUparrow
acute ncwcirclearrowup frac14 nLongrightarrow nuparrowtail
ncwleftarcarrow Auml nlongrightwavearrow a nupbkarrow
ncwnearcarrow nnearrow nupdownarrow
ncwnwarcarrow nNearrow nUpdownarrow
ncwoverarcarrow $ nnearrowtail nupdownarrows
ncwrightarcarrow d nnebkarrow nupdownwavearrow
ncwsearcarrow | nnenearrows ) nupmapsto
ncwswarcarrow nneswarrow - nUpmapsto
ncwunderarcarrow nNeswarrow y nupuparrows
sup1 nDdownarrow nneswarrows nupwavearrow
ndownarrow nnwarrow middot nUuparrow
nDownarrow 13 nNwarrow nvardownwavearrow
ndownarrowtail nnwarrowtail 3 nvarhookdownarrow
c ndownbkarrow e nnwbkarrow 2 nvarhookleftarrow
ndowndownarrows nnwnwarrows 4 nvarhooknearrow
+ ndownmapsto nnwsearrow = nvarhooknwarrow
nDownmapsto nNwsearrow 8 nvarhookrightarrow
ndownuparrows nnwsearrows nvarhooksearrow
ndownwavearrow ↛ nrightarrow 6 nvarhookswarrow
nhookdownarrow ⇏ nRightarrow 9 nvarhookuparrow
nhookleftarrow nrightarrowtail nvarleftrightwavearrow
lt nhooknearrow ` nrightbkarrow nvarleftwavearrow
5 nhooknwarrow nrightleftarrows nvarrightwavearrow
0 nhookrightarrow ( nrightmapsto nvarupdownwavearrow
7 nhooksearrow nRightmapsto nvarupwavearrow
gt nhookswarrow x nrightrightarrows
1 nhookuparrow nrightwavearrow
fdsymbol defines synonyms for most of the preceding symbols
deg nacwgapcirclearrow nleftdowncurvedarrow nrightcurvedarrow
macr nacwopencirclearrow nleftlcurvearrow pound nrightdowncurvedarrow
macr ncirclearrowleft nleftlsquigarrow nrightlcurvearrow
sup3 ncirclearrowright nleftrcurvearrow brvbar nrightleftcurvearrow
ncurvearrowleft curren nleftrightcurvearrow nrightleftsquigarrow
ncurvearrowright nleftrightsquigarrow nrightlsquigarrow
sup2 ncwgapcirclearrow nleftrsquigarrow nrightrcurvearrow
sup3 ncwopencirclearrow nleftsquigarrow nrightrsquigarrow
(continued on next page)
78
(continued from previous page)
` ndasharrow iexcl nleftupcurvedarrow nrightsquigarrow
b ndashleftarrow Auml nlongleadsto nrightupcurvedarrow
` ndashrightarrow Aring nlongleftsquigarrow nselcurvearrow
ndownlcurvearrow Auml nlongrightsquigarrow laquo nsenwcurvearrow
cent ndownleftcurvedarrow + nmapsdown pound nsercurvearrow
ndownlsquigarrow nMapsdown nswlcurvearrow
ndownrcurvearrow nmapsfrom ordf nswnecurvearrow
ndownrightcurvedarrow nMapsfrom cent nswrcurvearrow
ndownrsquigarrow ( nmapsto ↛ nto
sect ndownupcurvearrow nMapsto yen nupdowncurvearrow
ndownupsquigarrow ) nmapsup nupdownsquigarrow
↚ ngets - nMapsup nuplcurvearrow
lt nhknearrow nnelcurvearrow nupleftcurvedarrow
5 nhknwarrow nnercurvearrow nuplsquigarrow
7 nhksearrow uml nneswcurvearrow nuprcurvearrow
gt nhkswarrow nnwlcurvearrow nuprightcurvearrow
nleadsto iexcl nnwrcurvearrow nuprsquigarrow
nleftcurvedarrow copy nnwsecurvearrow
Table 155 fdsymbol Harpoons
downharpoonleft Z neswharpoons O seharpoonsw
downharpoonright V neswharpoonsenw [ senwharpoons
⥯ downupharpoons M nwharpoonne N swharpoonnw
leftharpoondown E nwharpoonsw F swharpoonse
leftharpoonup S nwseharpoonnesw ^ swneharpoons
⥊ leftrightharpoondownup _ nwseharpoons ⥍ updownharpoonleftright
leftrightharpoons W nwseharpoonswne ⥌ updownharpoonrightleft
⥋ leftrightharpoonupdown rightharpoondown ⥮ updownharpoons
D neharpoonnw rightharpoonup upharpoonleft
L neharpoonse rightleftharpoons upharpoonright
R neswharpoonnwse G seharpoonne
fdsymbol defines restriction as a synonym for upharpoonrightupdownharpoonsleftright as a synonym for updownharpoons anddownupharpoonsleftright as a synonym for downupharpoons
79
Table 156 fdsymbol Negated Harpoons
K ndownharpoonleft Z nneswharpoons O nseharpoonsw
C ndownharpoonright V nneswharpoonsenw [ nsenwharpoons
] ndownupharpoons M nnwharpoonne N nswharpoonnw
B nleftharpoondown E nnwharpoonsw F nswharpoonse
J nleftharpoonup S nnwseharpoonnesw ^ nswneharpoons
T nleftrightharpoondownup _ nnwseharpoons Q nupdownharpoonleftright
nleftrightharpoons W nnwseharpoonswne U nupdownharpoonrightleft
P nleftrightharpoonupdown H nrightharpoondown Y nupdownharpoons
D nneharpoonnw nrightharpoonup A nupharpoonleft
L nneharpoonse X nrightleftharpoons I nupharpoonright
R nneswharpoonnwse G nseharpoonne
fdsymbol defines nrestriction as a synonym for nupharpoonrightndownupharpoonsleftright as a synonym for ndownupharpoons andnupdownharpoonsleftright as a synonym for nupdownharpoons
Table 157 boisik Arrows
barleftarrow Lsh
barleftarrowrightarrowbar mapsdown
13 barovernorthwestarrow agrave Mapsfrom
carriagereturn mapsfrom
pound circlearrowleft aacute Mapsto
cent circlearrowright mapsto
macr cupleftarrow mapsup
Yacute curlyveedownarrow Nearrow
Uuml curlyveeuparrow nearrowcorner
szlig curlywedgedownarrow igrave nnearrow
THORN curlywedgeuparrow icirc nnwarrow
oacute curvearrowbotleft Nwarrow
otilde curvearrowbotleftright nwarrowcorner
ocirc curvearrowbotright rightarrowbar
eth curvearrowleft rightarrowcircle
ograve curvearrowleftright rightarrowtail
ntilde curvearrowright ucirc rightarrowTriangle
oslash dlsh thorn rightarrowtriangle
0 downblackarrow rightblackarrow
downdasharrow rightdasharrow
downdownarrows rightleftarrows
euml downtouparrow rightrightarrows
downwhitearrow rightsquigarrow
downzigzagarrow rightthreearrows
ugrave drsh aelig righttoleftarrow
divide eqleftrightarrow atilde rightwhitearrow
hookleftarrow aring rightwhiteroundarrow
hookrightarrow macr Rrightarrow
leftarrowtail Rsh
uacute leftarrowTriangle Searrow
(continued on next page)
80
(continued from previous page)
yacute leftarrowtriangle iacute ssearrow
- leftblackarrow iuml sswarrow
leftdasharrow Swarrow
leftleftarrows twoheaddownarrow
ouml leftrightarroweq twoheadleftarrow
leftrightarrows twoheadrightarrow
uuml leftrightarrowTriangle twoheaduparrow
yuml leftrightarrowtriangle twoheadwhiteuparrow
1 leftrightblackarrow + twoheadwhiteuparrowpedestal
leftrightsquigarrow upblackarrow
leftsquigarrow updasharrow
ccedil lefttorightarrow updownarrowbar
acirc leftwhitearrow 2 updownblackarrow
auml leftwhiteroundarrow updownwhitearrow
leftzigzagarrow ecirc uptodownarrow
linefeed upuparrows
reg Lleftarrow $ upwhitearrow
egrave looparrowdownleft amp whitearrowupfrombar
eacute looparrowdownright whitearrowuppedestal
looparrowleft ( whitearrowuppedestalhbar
iexcl looparrowright ) whitearrowuppedestalvbar
Many of these symbols are defined only if the arrows package option is specified
Table 158 boisik Negated Arrows
nHdownarrow deg nLeftrightarroW not nRightarrow
nHuparrow ordf nleftrightarrow nVleftarrow
laquo nLeftarrow shy nLeftrightarrow nVrightarrow
uml nleftarrow copy nrightarrow
Many of these symbols are defined only if the arrows package option is specified
Table 159 boisik Harpoons
downharpoonleft leftrightharpoons upharpoonleft
downharpoonright rightharpoondown upharpoonright
leftharpoondown rightharpoonup
leftharpoonup rightleftharpoons
81
Table 160 stix Arrows
⥀ acwcirclearrow ⟼ longmapsto
⟲ acwgapcirclearrow ⟾ Longmapsto
⤹ acwleftarcarrow ⟶ longrightarrow
⤺ acwoverarcarrow ⟹ Longrightarrow
⤻ acwunderarcarrow ⟿ longrightsquigarrow
barleftarrow looparrowleft
barleftarrowrightarrowbar looparrowright
⤠ barrightarrowdiamond Lsh
⤒ baruparrow mapsdown
⭁ bsimilarleftarrow ⤆ Mapsfrom
⭇ bsimilarrightarrow mapsfrom
crarr carriagereturn ↦ mapsto
⤿ ccwundercurvearrow ⤇ Mapsto
circlearrowleft mapsup
circlearrowright Nearrow
⬰ circleonleftarrow nearrow
⇴ circleonrightarrow ⤱ neovnwarrow
curvearrowleft ⤮ neovsearrow
⤽ curvearrowleftplus ⤢ neswarrow
curvearrowright nwarrow
⤼ curvearrowrightminus Nwarrow
⥁ cwcirclearrow ⤲ nwovnearrow
⟳ cwgapcirclearrow ⤡ nwsearrow
⤸ cwrightarcarrow ⤰ rdiagovsearrow
⤾ cwundercurvearrow Rdsh
⤏ dbkarow rArr Rightarrow
⟱ DDownarrow rarr rightarrow
⤋ Ddownarrow ⥵ rightarrowapprox
⤝ diamondleftarrow ⭈ rightarrowbackapprox
⤟ diamondleftarrowbar rightarrowbar
darr downarrow ⭌ rightarrowbsimilar
dArr Downarrow ⤞ rightarrowdiamond
⤓ downarrowbar ⟴ rightarrowonoplus
⤈ downarrowbarred ⥅ rightarrowplus
downdasharrow ⥂ rightarrowshortleftarrow
downdownarrows ⥴ rightarrowsimilar
⤵ downrightcurvedarrow ↣ rightarrowtail
⇵ downuparrows ⇾ rightarrowtriangle
downwhitearrow ⥇ rightarrowx
downzigzagarrow ⤍ rightbkarrow
draftingarrow ⤳ rightcurvedarrow
⤐ drbkarow rightdasharrow
⭀ equalleftarrow ⤑ rightdotarrow
⥱ equalrightarrow ⤷ rightdowncurvedarrow
⤯ fdiagovnearrow rightleftarrows
⤤ hknearrow rightrightarrows
⤣ hknwarrow rightsquigarrow
⤥ hksearow ⇶ rightthreearrows
⤦ hkswarow rightwavearrow
hookleftarrow rightwhitearrow
hookrightarrow RRightarrow
Ldsh Rrightarrow
(continued on next page)
82
(continued from previous page)
larr leftarrow Rsh
lArr Leftarrow searrow
⭊ leftarrowapprox Searrow
⭂ leftarrowbackapprox ⤭ seovnearrow
⭋ leftarrowbsimilar ⥄ shortrightarrowleftarrow
⬲ leftarrowonoplus ⭉ similarleftarrow
⥆ leftarrowplus ⥲ similarrightarrow
⥃ leftarrowshortrightarrow swarrow
⥳ leftarrowsimilar Swarrow
leftarrowtail ⤨ toea
⇽ leftarrowtriangle ⤧ tona
⬾ leftarrowx ⤩ tosa
⤌ leftbkarrow ⤪ towa
⬿ leftcurvedarrow twoheaddownarrow
leftdasharrow twoheadleftarrow
⤎ leftdbkarrow ⬻ twoheadleftarrowtail
⬸ leftdotarrow ⬷ twoheadleftdbkarrow
⤶ leftdowncurvedarrow ⬶ twoheadmapsfrom
leftleftarrows ⤅ twoheadmapsto
hArr Leftrightarrow ↠ twoheadrightarrow
harr leftrightarrow ⤖ twoheadrightarrowtail
⥈ leftrightarrowcircle twoheaduparrow
leftrightarrows ⥉ twoheaduparrowcircle
⇿ leftrightarrowtriangle uarr uparrow
leftrightsquigarrow uArr Uparrow
leftsquigarrow ⤉ uparrowbarred
⬱ leftthreearrows updasharrow
leftwavearrow Updownarrow
leftwhitearrow updownarrow
linefeed updownarrowbar
LLeftarrow updownarrows
Lleftarrow ⤴ uprightcurvearrow
⟵ longleftarrow upuparrows
⟸ Longleftarrow upwhitearrow
⟺ Longleftrightarrow ⟰ UUparrow
⟷ longleftrightarrow ⤊ Uuparrow
⬳ longleftsquigarrow varcarriagereturn
⟽ Longmapsfrom whitearrowupfrombar
⟻ longmapsfrom
Defined as an ordinary character not as a binary relation
stix defines acwopencirclearrow as a synonym for circlearrowleftcwopencirclearrow as a synonym for circlearrowright leadsto asa synonym for rightsquigarrow dashleftarrow as a synonym forleftdbkarrow and dashrightarrow and dasharrow as synonyms fordbkarow
83
Table 161 stix Negated Arrows
nHdownarrow ⤄ nvLeftrightarrow
nHuparrow ⇻ nVrightarrow
↚ nleftarrowdagger ⤃ nvRightarrow
nLeftarrow ⇸ nvrightarrow
↮ nleftrightarrow ⤕ nVrightarrowtail
⇎ nLeftrightarrow ⤔ nvrightarrowtail
⇏ nRightarrow ⬴ nvtwoheadleftarrow
↛ nrightarrow ⬵ nVtwoheadleftarrow
⇷ nvleftarrow ⬼ nvtwoheadleftarrowtail
⤂ nvLeftarrow ⬽ nVtwoheadleftarrowtail
⇺ nVleftarrow ⤁ nVtwoheadrightarrow
⬺ nVleftarrowtail ⤀ nvtwoheadrightarrow
⬹ nvleftarrowtail ⤗ nvtwoheadrightarrowtail
⇹ nvleftrightarrow ⤘ nVtwoheadrightarrowtail
⇼ nVleftrightarrow
Defined as an ordinary character not as a binary relation
dagger stix defines ngets as a synonym for nleftarrow
Table 162 stix Harpoons
⥡ bardownharpoonleft leftrightharpoons
⥝ bardownharpoonright ⥧ leftrightharpoonsdown
⥖ barleftharpoondown ⥦ leftrightharpoonsup
⥒ barleftharpoonup ⥊ leftrightharpoonupdown
⥟ barrightharpoondown ⥎ leftrightharpoonupup
⥛ barrightharpoonup rightharpoondown
⥘ barupharpoonleft ⥗ rightharpoondownbar
⥔ barupharpoonright ⥤ rightharpoonsupdown
⥫ dashleftharpoondown rightharpoonup
⥭ dashrightharpoondown ⥓ rightharpoonupbar
downharpoonleft ⥬ rightharpoonupdash
⥙ downharpoonleftbar rightleftharpoons
downharpoonright ⥩ rightleftharpoonsdown
⥕ downharpoonrightbar ⥨ rightleftharpoonsup
⥥ downharpoonsleftright ⥑ updownharpoonleftleft
⥯ downupharpoonsleftright ⥍ updownharpoonleftright
leftharpoondown ⥌ updownharpoonrightleft
⥞ leftharpoondownbar ⥏ updownharpoonrightright
⥢ leftharpoonsupdown ⥮ updownharpoonsleftright
leftharpoonup upharpoonleft
⥚ leftharpoonupbar ⥠ upharpoonleftbar
⥪ leftharpoonupdash upharpoonright
⥐ leftrightharpoondowndown ⥜ upharpoonrightbar
⥋ leftrightharpoondownup ⥣ upharpoonsleftright
stix defines restriction as a synonym for upharpoonright
84
Table 163 harpoon Extensible Harpoons
119886119887119888 overleftharpabc119886119887119888 overrightharpdownabc 119886119887119888 underrightharpabc
119886119887119888 overleftharpdownabc 119886119887119888 underleftharpabc 119886119887119888 underrightharpdownabc
119886119887119888 overrightharpabc 119886119887119888 underleftharpdownabc
All of the harpoon symbols are implemented using the graphics package (specif-ically graphicsrsquos resizebox command) Consequently only TEX backendsthat support graphical transformations (eg not Xdvi) can properly displaythese symbols
Table 164 chemarrow Arrows
A chemarrow
Table 165 fge Arrows
fgerightarrow fgeuparrow
Table 166 old-arrows Arrows
darr downarrow larrrarr longleftrightarrow nwarrow
larr˒ hookleftarrow larrminus[ longmapsfrom rarr rightarrow
rarr˓ hookrightarrow ↦minusrarr longmapsto searrow
larr leftarrow minusrarr longrightarrow swarrow
harr leftrightarrow larr[ mapsfrom uarr uparrow
minus˓rarr longhookrightarrow ↦rarr mapsto updownarrow
larrminus longleftarrow nearrow
The arrows provided by old-arrows represent Donald Knuthrsquos pre-1992 Com-puter Modern glyphs which feature smaller arrowheads Contrast the follow-ing
rarr vs rarrdefault old-arrows
In addition to the arrows shown above old-arrows also reduces the arrowheadsize for 119964ℳ119982rsquos overleftarrow overrightarrow overleftrightarrowunderleftarrow underrightarrow underleftrightarrowxleftarrow xrightarrow varinjlim and varprojlim symbols(Table 240 on page 104 Table 256 on page 107 and Table 182 on page 89)and mathtoolsrsquos xleftrightarrow xhookleftarrow xhookrightarrowand xmapsto symbols (Table 257 on page 108)
With the new package option old-arrows prefixes all of the above with ldquovarrdquo(ie vardownarrow varhookleftarrow etc) so both old and new glyphscan be used in the same document See the old-arrows documentation for moreinformation
Requires stmaryrd
85
Table 167 old-arrows Harpoons
minus longleftharpoondown minus longrightharpoondown
minus longleftharpoonup minus longrightharpoonup
Unlike the symbols shown in Table 166 on the previous page the new packageoption does not define a var version of the symbols in this table Alsounlike the symbols shown in Table 166 the harpoon arrowheads in this tableare not reduced in size (ie relative to the size of those shown in Table 139 onpage 70)
Table 168 esrelation Restrictions
permil restrictbarb rdquo restrictmallet restrictwand
) restrictbarbup restrictmalletup ( restrictwandup
Table 169 MnSymbol Spoons
s downfilledspoon l nnespoon u nwfilledspoon
⫰ downspoon u nnwfilledspoon m nwspoon
r leftfilledspoon m nnwspoon p rightfilledspoon
⟜ leftspoon p nrightfilledspoon ⊸ rightspoon
s ndownfilledspoon h nrightspoon w sefilledspoon
k ndownspoon w nsefilledspoon o sespoon
t nefilledspoon o nsespoon v swfilledspoon
l nespoon v nswfilledspoon n swspoon
r nleftfilledspoon n nswspoon q upfilledspoon
j nleftspoon q nupfilledspoon ⫯ upspoon
t nnefilledspoon i nupspoon
MnSymbol defines multimap as a synonym for rightspoon and nmultimap
as a synonym for nrightspoon
Table 170 MnSymbol Pitchforks
⫛ downpitchfork nnwpitchfork rightpitchfork
leftpitchfork nrightpitchfork sepitchfork
ndownpitchfork nsepitchfork swpitchfork
nepitchfork nswpitchfork ⋔ uppitchfork
nleftpitchfork nuppitchfork
nnepitchfork nwpitchfork
MnSymbol defines pitchfork as a synonym for uppitchfork andnpitchfork as a synonym for nuppitchfork
86
Table 171 MnSymbol Smiles and Frowns
doublefrown nsmileeq smileeq
doublefrowneq nsmileeqfrown amp smileeqfrown
doublesmile ≭ nsmilefrown ≍ smilefrown
$ doublesmileeq nsmilefrowneq ( smilefrowneq
eqfrown yen nsqdoublefrown - sqdoublefrown
eqsmile macr nsqdoublefrowneq 7 sqdoublefrowneq
frown curren nsqdoublesmile sqdoublesmile
frowneq reg nsqdoublesmileeq 6 sqdoublesmileeq
frowneqsmile shy nsqeqfrown 5 sqeqfrown
frownsmile not nsqeqsmile 4 sqeqsmile
) frownsmileeq pound nsqfrown + sqfrown
ndoublefrown laquo nsqfrowneq 3 sqfrowneq
ndoublefrowneq plusmn nsqfrowneqsmile 9 sqfrowneqsmile
ndoublesmile copy nsqfrownsmile 1 sqfrownsmile
ndoublesmileeq cent nsqsmile sqsmile
neqfrown ordf nsqsmileeq 2 sqsmileeq
neqsmile deg nsqsmileeqfrown 8 sqsmileeqfrown
nfrown uml nsqsmilefrown 0 sqsmilefrown
nfrowneq sect nsqtriplefrown sqtriplefrown
nfrowneqsmile brvbar nsqtriplesmile sqtriplesmile
nfrownsmile ntriplefrown triplefrown
iexcl nfrownsmileeq ntriplesmile triplesmile
nsmile smile
MnSymbol defines smallsmile as a synonym for smile smallfrown as asynonym for frown asymp as a synonym for smilefrown and nasymp asa synonym for nsmilefrown
Table 172 fdsymbol Spoons
⊷ blackwhitespoon o ndownblackspoon m nupblackspoon
o downblackspoon k ndownspoon i nupspoon
⫰ downspoon n nleftblackspoon s nwhiteblackspoon
n leftblackspoon q nleftrightblackspoon l rightblackspoon
q leftrightblackspoon p nleftrightspoon ⊸ rightspoon
⧟ leftrightspoon j nleftspoon m upblackspoon
⟜ leftspoon l nrightblackspoon ⫯ upspoon
r nblackwhitespoon h nrightspoon ⊶ whiteblackspoon
fdsymbol defines synonyms for many of the preceding symbols
⫯ cirmid ⟜ multimapinv h nmultimap
⧟ dualmap i ncirmid j nmultimapinv
⊷ imageof p ndualmap s norigof
⫰ midcir r nimageof ⊶ origof
⊸ multimap k nmidcir
87
Table 173 fdsymbol Pitchforks
w downpitchfork v nleftpitchfork t rightpitchfork
v leftpitchfork t nrightpitchfork ⋔ uppitchfork
w ndownpitchfork u nuppitchfork
fdsymbol defines npitchfork as a synonym for nuppitchfork andpitchfork as a synonym for uppitchfork
Table 174 fdsymbol Smiles and Frowns
frown nfrowneq ≭ nsmilefrown
≘ frowneq nfrownsmile smile
frownsmile ~ nsmile smileeq
nfrown nsmileeq ≍ smilefrown
fdsymbol defines arceq as a synonym for frowneq asymp as a synonymfor smilefrown closure as a synonym for frownsmile narceq as asynonym for nfrowneq nasymp as a synonym for nsmilefrown nclosureas a synonym for nfrownsmile smallfrown as a synonym for frown andsmallsmile as a synonym for smile
Table 175 ulsy Contradiction Symbols
blitza blitzb blitzc blitzd 13 blitze
Table 176 Extension Characters
minus relbar = Relbar
Table 177 stmaryrd Extension Characters
Y Arrownot Mapsfromchar Mapstochar
X arrownot [ mapsfromchar
Table 178 txfontspxfonts Extension Characters
Mappedfromchar Mmappedfromchar Mmapstochar
mappedfromchar mmappedfromchar mmapstochar
Table 179 mathabx Extension Characters
szlig mapsfromchar THORN mapstochar
ucirc Mapsfromchar uacute Mapstochar
88
Table 180 stix Extension Characters
lhook larr relbar RRelbar
mapsfromchar lArr Relbar Rrelbar
mapstochar rhook
Table 181 Log-like Symbols
arccos cos csc exp ker limsup min sinh
arcsin cosh deg gcd lg ln Pr sup
arctan cot det hom lim log sec tan
arg coth dim inf liminf max sin tanh
Calling the above ldquosymbolsrdquo may be a bit misleading3 Each log-like symbolmerely produces the eponymous textual equivalent but with proper surround-ing spacing See Section 104 for more information about log-like symbols Asbmod and pmod are arguably not symbols we refer the reader to the ShortMath Guide for LATEX [Dow00] for samples
Table 182 119964ℳ119982 Log-like Symbols
inj lim injlim limminusrarr varinjlim lim varlimsup
proj lim projlim lim varliminf limlarrminus varprojlim
Load the amsmath package to get these symbols See Section 104 for some ad-ditional comments regarding log-like symbols As mod and pod are arguablynot symbols we refer the reader to the Short Math Guide for LATEX [Dow00]for samples
Table 183 ChinA2e Number Sets
Atilde Complex Uacute Integer Icirc Natural Ntilde Rational Ograve Real
raquo COMPLEX iquest INTEGER frac14 NATURAL frac12 RATIONAL frac34 REAL
3Michael J Downes prefers the more general term ldquoatomic math objectsrdquo
89
Table 184 Greek Letters
120572 alpha 120579 theta 119900 o 120591 tau
120573 beta 120599 vartheta 120587 pi 120592 upsilon
120574 gamma 120580 iota 120603 varpi 120593 phi
120575 delta 120581 kappa 120588 rho 120601 varphi
120598 epsilon 120582 lambda 120602 varrho 120594 chi
120576 varepsilon 120583 mu 120590 sigma 120595 psi
120577 zeta 120584 nu 120589 varsigma 120596 omega
120578 eta 120585 xi
Γ Gamma Λ Lambda Σ Sigma Ψ Psi
Δ Delta Ξ Xi ϒ Upsilon Ω Omega
Θ Theta Π Pi Φ Phi
The remaining Greek majuscules can be produced with ordinary Latin lettersThe symbol ldquoMrdquo for instance is used for both an uppercase ldquomrdquo and an upper-case ldquo120583rdquo To make available commands for all of the Greek majuscules eitheruse the mathspec package which requires X ELATEX or copy mathspecstyrsquosGreek-letter definitions to your documentrsquos preamble
DeclareMathSymbolAlphamathalphaoperators41
DeclareMathSymbolBetamathalphaoperators42
DeclareMathSymbolEpsilonmathalphaoperators45
DeclareMathSymbolZetamathalphaoperators5A
DeclareMathSymbolEtamathalphaoperators48
DeclareMathSymbolIotamathalphaoperators49
DeclareMathSymbolKappamathalphaoperators4B
DeclareMathSymbolMumathalphaoperators4D
DeclareMathSymbolNumathalphaoperators4E
DeclareMathSymbolOmicronmathalphaoperators4F
DeclareMathSymbolRhomathalphaoperators50
DeclareMathSymbolTaumathalphaoperators54
DeclareMathSymbolChimathalphaoperators58
DeclareMathSymbolomicronmathordletters6F
See Section 105 for examples of how to produce bold Greek letters
The symbols in this table are intended to be used in mathematical typesettingGreek body text can be typeset using the babel packagersquos greek (or polutoniko-greek) optionmdashand of course a font that provides the glyphs for the Greekalphabet
Table 185 119964ℳ119982 Greek Letters
z digamma κ varkappa
90
Table 186 txfontspxfonts Upright Greek Letters
α alphaup θ thetaup π piup φ phiup
β betaup ϑ varthetaup $ varpiup ϕ varphiup
γ gammaup ι iotaup ρ rhoup χ chiup
δ deltaup κ kappaup varrhoup ψ psiup
ε epsilonup λ lambdaup σ sigmaup ω omegaup
ε varepsilonup micro muup ς varsigmaup
ζ zetaup ν nuup τ tauup
η etaup ξ xiup υ upsilonup
The symbols in this table are intended to be used sporadically throughouta document (eg to represent mathematical units or numerical quantitiesmdashldquoπ asymp 314159rdquo) In contrast Greek body text can be typeset using the babelpackagersquos greek (or polutonikogreek) optionmdashand of course a font that providesthe glyphs for the Greek alphabet
Table 187 upgreek Upright Greek Letters
α upalpha θ uptheta π uppi φ upphi
β upbeta ϑ upvartheta $ upvarpi ϕ upvarphi
γ upgamma ι upiota ρ uprho χ upchi
δ updelta κ upkappa ρ upvarrho ψ uppsi
ε upepsilon λ uplambda σ upsigma ω upomega
ε upvarepsilon micro upmu σ upvarsigma
ζ upzeta ν upnu τ uptau
η upeta ξ upxi υ upupsilon
Γ Upgamma Λ Uplambda Σ Upsigma Ψ Uppsi
∆ Updelta Ξ Upxi Υ Upupsilon Ω Upomega
Θ Uptheta Π Uppi Φ Upphi
upgreek utilizes upright Greek characters from either Euler Roman (depictedabove) or the PostScript Symbol font As a result the glyphs may appearslightly different from the above Contrast for example ldquoΓ∆Θαβγrdquo (Euler)with ldquoΓ∆Θαβγrdquo (Symbol) Also note that the var forms do not alwaysproduce a distinct glyph
Unlike textgreek (Table 6 on page 15) upgreek works in math mode
The symbols in this table are intended to be used sporadically throughouta document (eg to represent mathematical units or numerical quantitiesmdashldquoπ asymp 314159rdquo) In contrast Greek body text can be typeset using the babelpackagersquos greek (or polutonikogreek) optionmdashand of course a font that providesthe glyphs for the Greek alphabet
Table 188 fourier Variant Greek Letters
π pi ρ rho
$ varpi varrho
Egrave varvarpi AElig varvarrho
91
Table 189 txfontspxfonts Variant Latin Letters
1 varg 3 varv 4 varw 2 vary
Pass the varg option to txfontspxfonts to replace g v w and y with 1 3 4and 2 in every mathematical expression in your document
Table 190 boisik Variant Greek Letters
varbeta varkappa $ varpi amp varsigma
varepsilon varphi varrho vartheta
Table 191 boisik Variant Latin Letters
varg
Table 192 stix Variant Greek Letters
varepsilon varphi varrho vartheta
z varkappa $ varpi amp varsigma
Table 193 stix Transformed Greek Letters
϶ backepsilon turnediota
mho ϶ upbackepsilon
Table 194 119964ℳ119982 Hebrew Letters
i beth ג gimel k daleth
aleph (alefsym) appears in Table 294 on page 115
Table 195 MnSymbol Hebrew Letters
alefsym aleph ℶ beth ℷ gimel ℸ daleth
Table 196 fdsymbol Hebrew Letters
alefsym aleph ℶ beth ℷ gimel ℸ daleth
Table 197 boisik Hebrew Letters
oslash beth ugrave gimel uacute daleth
92
Table 198 stix Hebrew Letters
alefsym aleph ℶ beth ℷ gimel ℸ daleth
Table 199 Letter-like Symbols
perp bot forall forall 120484 imath ni ni ⊤ top
ℓ ell ~ hbar isin in 120597 partial weierp wp
exist exists image Im 120485 jmath real Re
Table 200 119964ℳ119982 Letter-like Symbols
k Bbbk complement ~ hbar
r circledR ` Finv hslash
s circledS a Game nexists
Table 201 txfontspxfonts Letter-like Symbols
cent mathcent pound mathsterling lt notin = notni
Itrsquos generally preferable to use the corresponding symbol from Table 3 onpage 15 because the symbols in that table work properly in both text modeand math mode
Table 202 mathabx Letter-like Symbols
V barin P in L nottop T varnotin
A complement E nexists Q owns U varnotowner
D exists M notbot W ownsbar
F Finv R notin B partial
G Game S notowner C partialslash
Table 203 MnSymbol Letter-like Symbols
bot isin in ∌ nowns ⊺ top
exist exists ∄ nexists ni owns weierp wp
forall forall notin nin weierp powerset
MnSymbol provides synonyms notin for nin ni for owns and intercal
for top
93
Table 204 fdsymbol Letter-like Symbols
perp bot forall forall isin in ni owns
∁ complement ⅁ Game ∄ nexists ⊤ top
exist exists h hbar notin nin weierp wp
Ⅎ Finv h hslash ∌ nowns
fdsymbol provides synonyms notin for nin ni for owns and nni fornowns
Table 205 boisik Letter-like Symbols
k Bbbk uuml Game imath acirc nexists
yacute complement hbar thorn intercal wp
ucirc Finv hslash | jmath
Table 206 stix Letter-like Symbols
Å Angstrom ℇ Eulerconst imath ⊤ top
k Bbbk exist exists ⊺ intercal topbot
perp bot Ⅎ Finv | jmath weierp wp
circledR forall forall $ mathdollar ⅄ Yup
circledS ⅁ Game para mathparagraph Ƶ Zbar
∁ complement ℏ hbar pound mathsterling
ϝ digamma ℏ hslash ∄ nexists
l ell image Im real Re
Table 207 trfsigns Letter-like Symbols
e e j im
Table 208 mathdesign Letter-like Symbols
isin in 3 owns
6isin notin smallin
notsmallin smallowns
notsmallowns
The mathdesign package additionally provides versions of each of the letter-likesymbols shown in Table 200 on the previous page
Table 209 fge Letter-like Symbols
A fgeA ı fgeeszett D fgeleftB U fgeU
c fgec F fgeF C fgeleftC
p fged f fgef B fgerightB
e fgee rdquo fgelb s fges
The fge package defines fgeeta fgeN and fgeoverU as synonyms forfgelb
94
Table 210 fourier Letter-like Symbols
part partial Ccedil varpartialdiff
Table 211 cmll Letter-like Symbols
sbquo Bot lsaquo simbot
Table 212 119964ℳ119982 Delimiters
p ulcorner q urcorner
x llcorner y lrcorner
Table 213 stmaryrd Delimiters
P Lbag Q Rbag N lbag O rbag
V llceil W rrceil T llfloor U rrfloor
L llparenthesis M rrparenthesis
Table 214 mathabx Delimiters
v lcorners w rcorners
x ulcorner y urcorner
z llcorner lrcorner
Table 215 boisik Delimiters
Oslash ulcorner Ugrave urcorner
agrave llcorner aacute lrcorner
Table 216 stix Delimiters
⦑ langledot ⦒ rangledot ⦉ llangle ⦊ rrangle
⟅ lbag ⟆ rbag llcorner lrcorner
⦗ lblkbrbrak ⦘ rblkbrbrak ⦇ llparenthesis ⦈ rrparenthesis
⦏ lbracklltick ⦐ rbrackurtick ⦕ Lparengtr ⦖ Rparenless
⦋ lbrackubar ⦌ rbrackubar ⦓ lparenless ⦔ rparengtr
⦍ lbrackultick ⦎ rbracklrtick ⧘ lvzigzag ⧙ rvzigzag
⟬ Lbrbrak ⟭ Rbrbrak ⧚ Lvzigzag ⧛ Rvzigzag
⧼ lcurvyangle ⧽ rcurvyangle ulcorner urcorner
Table 217 nath Delimiters
niv vin
95
Table 218 Variable-sized Delimiters
darr⎮⎮ downarrow dArr
dArr Downarrow [[
[ ]]
]
⟨⟨
langle ⟩⟩
rangle |
|
|
lceillceil
lceil rceilrceil
rceil uarr⎮⎮ uparrow uArr
uArrUparrow
lfloorlfloor
lfloor rfloorrfloor
rfloor ⎮ updownarrow
uArrdArr Updownarrow
((
( ))
)
⧸
∖
backslash
When used with left and right these symbols expand to the height of theenclosed math expression Note that vert is a synonym for | and Vert isa synonym for |
120576-TEX provides a middle analogue to left and right middle can beused for example to make an internal ldquo|rdquo expand to the height of the sur-rounding left and right symbols (This capability is commonly neededwhen typesetting adjacent bras and kets in Dirac notation ldquo⟨120593|120595⟩rdquo) A simi-lar effect can be achieved in conventional LATEX using the braket package
Table 219 Large Variable-sized Delimiters⎧⎭ ⎧⎪⎪⎪⎪⎭ lmoustache⎫⎩ ⎫⎪⎪⎪⎪⎩ rmoustache
⎧⎩ ⎧⎪⎪⎪⎪⎩ lgroup⎫⎭ ⎫⎪⎪⎪⎪⎭ rgroup
⎮⎮ ⎮⎮⎮⎮⎮ arrowvert
Arrowvert⎪⎪⎪⎪ ⎪⎪⎪⎪⎪⎪⎪⎪⎪⎪ bracevert
These symbols must be used with left and right The mathabx pack-age however redefines lgroup and rgroup so that those symbols can workwithout left and right
Table 220 119964ℳ119982 Variable-sized Delimiters
|
lvert |
rvert
lVert
rVert
According to the amsmath documentation [AMS99] the preceding symbols areintended to be used as delimiters (eg as in ldquo|minus119911|rdquo) while the vert and Vert
symbols (Table 218) are intended to be used as operators (eg as in ldquo119901|119902rdquo)
Table 221 stmaryrd Variable-sized Delimiters
~
llbracket
rrbracket
96
Table 222 mathabx Variable-sized Delimiters
v
1
ldbrack w
9
rdbrack
7
7
7
7
7
lfilet
rfilet
~
ffl
ffl
fflthickvert ~
vvvert
Table 223 MnSymbol Variable-sized Delimiters
XXXXXXXXX Arrowvert
⎧⎪⎪⎨⎪⎩lbrace rceil
⎤⎥⎥⎥⎥⎥rceil
RRRRRRRRR arrowvert lceil
⎡⎢⎢⎢⎢⎢lceil rfloor
⎥⎥⎥⎥⎥⎦rfloor
backslash lfloor⎢⎢⎢⎢⎢⎣
lfloor⎫⎪⎭
⎫⎪⎪⎪⎪⎭ rgroup
⎪⎪⎪⎪⎪⎪⎪⎪⎪ bracevert
⎧⎪⎩⎧⎪⎪⎪⎪⎩ lgroup
⎫⎪⎩⎫⎪⎪⎪⎪⎩ rmoustache
[⎡⎢⎢⎢⎢⎣
[ ⟪ ⟪ llangle ⟫ ⟫ rrangle
]⎤⎥⎥⎥⎥⎦
] llcorner ⟧MQQQQO
rsem
( ( (⎧⎪⎭
⎧⎪⎪⎪⎪⎭ lmoustache___
______rWavy
) ) ) lrcorner^ ^
^ rwavy
⟦LPPPPN
lsem ulcorner
⟨ ⟨ lt^ ^
^ lwavy 3 6 ullcorner
⟩ ⟩ gt___
______lWavy 8 ulrcorner
∣RRRRRR | ⟩ ⟩ rangle urcorner
(continued on next page)
97
(continued from previous page)
⟨ ⟨ langle p s ranglebar ∥XXXXXX |
k n langlebar ⎫⎪⎪⎬⎪⎭
rbrace
vert is a synonym for | Vert is a synonym for | mid and mvert
produce the same symbol as vert but designated as math relations insteadof ordinals divides produces the same symbol as vert but designated asa binary operator instead of an ordinal parallel and mVert produce thesame symbol as Vert but designated as math relations instead of ordinals
Table 224 fdsymbol Variable-sized Delimiters
backslash lrcorner ) ) rparen
darr
EgraveEgraveEgraveEgraveEgravedarr downarrow ∣∣∣∣∣∣∣ lvert ∣
∣∣∣∣∣∣ rvert
dArr
EumlEumlEumlEumlEumldArr Downarrow ∥∥∥∥∥∥∥ lVert ∥
∥∥∥∥∥∥ rVert
⟪ ⟪ lAngle ⦀AringAringAringAringAringAring lVvert ⦀
AringAringAringAringAringAring rVvert
⟨ ⟨ langle mathslash ulcorner
⦑ ⦑ langledot ⟩ ⟩ rangle N S ullcorner
lbrace ⟫ ⟫ rAngle T Y ulrcorner
[ [ lbrack ⦒ ⦒ rangledot uarr
uarrEgraveEgraveEgraveEgraveEgrave uparrow
⟦ ⟦ lBrack rbrace uArr
uArrEumlEumlEumlEumlEuml Uparrow
(continued on next page)
98
(continued from previous page)
lceil lceil lceil ⟧ ⟧ rBrack
uarrEgraveEgraveEgraveEgravedarr updownarrow
lfloor lfloor lfloor ] ] rbrack
uArrEumlEumlEumlEumldArr Updownarrow
⎧⎪⎩⎧⎪⎪⎪⎪⎩ lgroup rceil rceil rceil urcorner
llcorner rfloor rfloor rfloor ∣∣∣∣∣∣∣ vert
⎧⎪⎭⎧⎪⎪⎪⎪⎭ lmoustache
⎫⎪⎭⎫⎪⎪⎪⎪⎭ rgroup ∥
∥∥∥∥∥∥ Vert
( ( lparen⎫⎪⎩
⎫⎪⎪⎪⎪⎩ rmoustache ⦀AringAringAringAringAringAring Vvert
fdsymbol defines ldquo(rdquo as a synonym for lparen ldquo)rdquo as a synonym for rparenldquo[rdquo as a synonym for lbrack ldquo]rdquo as a synonym for rbrack ldquordquo as a syn-onym for lbrace ldquordquo as a synonym for rbrace ldquordquo as a synonym formathslash ldquo|rdquo as a synonym for vert ldquo|rdquo as a synonym for Vert lsemas a synonym for lBrack and rsem as a synonym for rBrack
Table 225 stix Variable-sized Delimiters
uArruArruArruArruArruArruArruArruArruArruArruArruArruArruArruArruArruArruArruArruArruArruArruArruArr
Arrowvert ⟪
⟪
lAngle rceil
rceil
rceil
arrowvert
lbrace rfloor
rfloor
rfloor
∖
backslash ⦃
⦃
lBrace ⟯
⎧
⎪
⎩
rgroup
⤋⤊⤊⤊⤊⤊⤊⤊⤊⤊⤊⤊⤊⤊⤊⤊⤊⤊⤊⤋
Ddownarrow ⟦
⟦
lBrack ⎱
⎫
⎪
⎩
rmoustache
⟱⟰⟰⟰⟰⟰⟰⟰⟰⟰⟰⟰⟰⟰⟰⟰⟰⟰⟰⟱
DDownarrow ❲
❲
lbrbrak ⦆
⦆
rParen
(continued on next page)
99
(continued from previous page)
darrdarr
downarrow lceil
lceil
lceil uarruarr
uparrow
dArruArruArruArruArruArruArruArruArruArruArruArruArruArruArruArruArruArruArrdArr
Downarrow lfloor
lfloor
lfloor uArruArruArruArruArruArruArruArruArruArruArruArruArruArruArruArruArruArruArruArr
Uparrow
[
[
[ ⟮
⎫
⎪
⎭
lgroup uArruArruArruArruArruArruArruArruArruArruArruArruArruArruArruArruArruArrdArr
Updownarrow
]
]
] ⎰
⎧
⎪
⎭
lmoustache uarrdarr
updownarrow
(
(
( ⦅
⦅
lParen ⤊⤊⤊⤊⤊⤊⤊⤊⤊⤊⤊⤊⤊⤊⤊⤊⤊⤊⤊⤊
Uuparrow
)
)
) ⟫
⟫
rAngle ⟰⟰⟰⟰⟰⟰⟰⟰⟰⟰⟰⟰⟰⟰⟰⟰⟰⟰⟰⟰
UUparrow
∕
⟩
⟩
rangle
Vert
⟨
⟨
lt
rbrace |
|
|
|
|
|
|
vert
⟩
⟩
gt ⦄
⦄
rBrace ⦀
⦀
⦀
⦀
⦀
⦀
⦀
Vvert
|
|
|
|
|
|
|
| ⟧
⟧
rBrack
⟨
⟨
langle ❳
❳
rbrbrak
Table 226 mathdesign Variable-sized Delimiters
ETH
ETH
ETH
ETH
ETH
leftwave ETH
ETH
ETH
ETH
ETH
rightwave
Ntilde
Ntilde
Ntilde
Ntilde
Ntilde
leftevaw Ntilde
Ntilde
Ntilde
Ntilde
Ntilde
rightevaw
The definitions of these symbols include a preceding left or right It istherefore an error to specify left or right explicitly The internal ldquoprimi-tiverdquo versions of these symbols are called lwave rwave levaw and revaw
100
Table 227 nath Variable-sized Delimiters (Double)
⟨⟨⟨⟨
lAngle ⟩⟩⟩⟩
rAngle
[[[[
lBrack ]]]]
rBrack
lceillceillceillceil
lCeil rceilrceilrceilrceil
rCeil
lfloorlfloorlfloorlfloor
lFloor rfloorrfloorrfloorrfloor
rFloor
||
lVert ||
rVert
nath redefines all of the above to include implicit left and right commandsHence separate lVert and rVert commands are needed to disambiguatewhether ldquo|rdquo is a left or right delimiter
All of the symbols in Table 227 can also be expressed using the double macroSee the nath documentation for examples and additional information
Table 228 nath Variable-sized Delimiters (Triple)
⟨⟨⟨⟨⟨⟨
triplelt ⟩⟩⟩⟩⟩⟩
triplegt
[[[[[[
triple[ ]]]]]]
triple]
|||
ltriple| |||
rtriple|
Similar to lVert and rVert in Table 227 ltriple and rtriple mustbe used instead of triple to disambiguate whether ldquo|rdquo is a left or rightdelimiter
Note that triplemdashand the corresponding doublemdashis actually a macro thattakes a delimiter as an argument
Table 229 fourier Variable-sized Delimiters
llbracket
rrbracket
VERT
Table 230 textcomp Text-mode Delimiters
lang textlangle rang textrangle
〚 textlbrackdbl 〛 textrbrackdbl
⁅ textlquill ⁆ textrquill
101
Table 231 metre Text-mode Delimiters
alad Alad dagger crux dagger Crux
alas Alas ]] quadrad ]] Quadrad⟩ angud ⟩ Angud [[ quadras [[ Quadras⟨ angus ⟨ Angus
Table 232 Math-mode Accents
acutea checka gravea tildea
bara ddota hata veca
brevea dota mathringa
Note also the existence of imath and jmath which produce dotless versionsof ldquoirdquo and ldquojrdquo (See Table 294 on page 115) These are useful when theaccent is supposed to replace the dot For example ldquohatimathrdquo producesa correct ldquo rdquo while ldquohatirdquo would yield the rather odd-looking ldquo rdquo
The overline command (Table 240 on page 104) produces a wider accentthan bar ldquo119860rdquo vs ldquo119860rdquo However unlike adjacent bars adjacent overlinesrun together which is often not desired ldquo119860119861rdquo vs ldquo119860rdquo If wider bars thanbar are needed the following code from Enrico Gregorio can be used to addthe requisite inter-symbol spacing [Gre09]
newcommandclosure[2][3]
mkern1muoverlinemkern-1mu2
With that definition ldquoclosureAclosureBrdquo produces ldquo119860119861rdquo with a vis-ible gap between the two accents The optional argument can be used tofine-tune the spacing
Table 233 119964ℳ119982 Math-mode Accents119886 dddota
119886 ddddota
These accents are also provided by the mathabx and accents packages and areredefined by the mathdots package if the amsmath and amssymb packages havepreviously been loaded All of the variations except for the original 119964ℳ119982 onestighten the space between the dots (from
119886 to ˙119886) The mathabx and mathdots
versions also function properly within subscripts and superscripts (119909˙119886 insteadof 119909
119886 )
Table 234 MnSymbol Math-mode Accents
a veca
102
Table 235 fdsymbol Math-mode Accents
a middlebara a strokethrougha
a middleslasha a veca
middlebar and middleslash are applied here to ldquo119886rdquo for consistency withthe rest of the document but they generally look better when applied to tallerlowercase characters
Table 236 boisik Math-mode Accents
a veca
Table 237 stix Math-mode Accents
a acutea a hata
a annuitya a leftarrowaccenta
a asteraccenta a leftharpoonaccenta
a bara a leftrightarrowaccenta
a brevea a mathringa
a candraa a ocommatoprighta
a checka a oturnedcommaa
a ddddota a ovhooka
a dddota a rightharpoonaccenta
a ddota a tildea
a dota a veca
a droanga a widebridgeabovea
a gravea
Table 238 fge Math-mode Accents
Andash
andash spirituslenisAspirituslenisa
When fge is passed the crescent option spirituslenis instead uses a crescentaccent as in ldquo amdash rdquo
Table 239 yhmath Math-mode Accents
ringa
This symbol is largely obsolete as standard LATEX 2120576 has supported mathring
(Table 232 on the previous page) since June 1998 [LAT98]
103
Table 240 Extensible Accents119886119887119888 widetildeabc 119886119887119888 widehatabc
larrminus119886119887119888 overleftarrowabcdagger
minusrarr119886119887119888 overrightarrowabcdagger
119886119887119888 overlineabc 119886119887119888 underlineabc⏞ ⏟ 119886119887119888 overbraceabc 119886119887119888⏟ ⏞ underbraceabc
radic119886119887119888 sqrtabcDagger
As demonstrated in a 1997 TUGboat article about typesetting long-divisionproblems [Gib97] an extensible long-division sign (ldquo )119886119887119888 rdquo) can be faked byputting a ldquobig)rdquo in a tabular environment with an hline or cline inthe preceding row The article also presents a piece of code (uploaded toCTAN as longdivtex) that automatically solves and typesetsmdashby putting anoverline atop ldquobig)rdquo and the desired textmdashlong-division problems Morerecently the STIX fonts include a true long-division sign See longdivision
in Table 246 for a sample of this symbol See also the polynom package whichautomatically solves and typesets polynomial-division problems in a similarmanner
These symbols are made more extensible by the MnSymbol package (Table 244on the following page) and even more extensible by the yhmath package (Ta-ble 242)
dagger If yoursquore looking for an extensible diagonal line or arrow to be used for canceling
or reducing mathematical subexpressions (eg ldquo119909+minus119909rdquo or ldquo
53 + 2 rdquo) then
consider using the cancel package
Dagger With an optional argument sqrt typesets nth roots For exampleldquosqrt[3]abcrdquo produces ldquo3
radic119886119887119888 rdquo and ldquosqrt[n]abcrdquo produces ldquo 119899
radic119886119887119888 rdquo
Table 241 overrightarrow Extensible Accents=rArr119886119887119888 Overrightarrowabc
Table 242 yhmath Extensible Accentsrdquo119886119887119888 widehatabc rsaquo119886119887119888 widetildeabc
119886119887119888 wideparenabc Egrave119886119887119888 widetriangleabc
˚119886119887119888 wideringabc
Table 243 119964ℳ119982 Extensible Accents
larrrarr119886119887119888 overleftrightarrowabc 119886119887119888larrrarr underleftrightarrowabc
119886119887119888larrminus underleftarrowabc 119886119887119888minusrarr underrightarrowabc
104
Table 244 MnSymbol Extensible Accents
abclaquo
overbraceabc 119886119887119888acutesup1sup1sup1 sup1sup1sup1para undergroupabc
sup3sup1sup1sup1 sup1sup1sup1micro119886119887119888 overgroupabc 119886119887119888zx underlinesegmentabc
ETH119886119887119888 overleftharpoonabc abc widehatabc
zx119886119887119888 overlinesegmentabc abcIacute wideparenabc
ETH119886119887119888 overrightharpoonabc abc widetildeabc
abcdeg underbraceabc
Table 245 fdsymbol Extensible Accents
Igrave OgraveOgraveETHOgraveOgraveOgraveIcirc119886119887119888 overbraceabc 119886119887119888Iacute OgraveOgraveOgraveOgraveOgraveOgrave OgraveOgraveOgraveOgraveOgraveOgraveOgraveIuml undergroupabc
Igrave OgraveOgraveOgraveOgraveOgraveOgrave OgraveOgraveOgraveOgraveOgraveOgraveOgraveIcirc119886119887119888 overgroupabc 119886119887119888
notshyunderlinesegmentabc
minusminus119886119887119888 overleftharpoonabc abc widehatabc
notshy119886119887119888 overlinesegmentabc abc wideparenabc
minusminus119886119887119888 overrightharpoonabc abc widetildeabc
119886119887119888Iacute OgraveOgraveNtildeOgraveOgraveOgraveIuml underbraceabc
Table 246 stix Extensible Accents
⟌119886119887119888 longdivisionabc 119886119887119888 underbracketabc
⏞⏞⏞119886119887119888 overbraceabc 119886119887119888
underleftarrowabc
119886119887119888 overbracketabc 119886119887119888
underleftharpoonabc
119886119887119888 overleftarrowabc 119886119887119888
underleftrightarrowabc
119886119887119888 overleftharpoonabc 119886119887119888⏝⏝
underparenabc
119886119887119888 overleftrightarrowabc 119886119887119888
underrightarrowabc⏜⏜119886119887119888 overparenabc 119886119887119888
underrightharpoonabc
119886119887119888 overrightarrowabc abc widecheckabc
119886119887119888 overrightharpoonabc abc widehatabc
radic119886119887119888 sqrtabc abc widetildeabc
119886119887119888⏟⏟⏟
underbraceabc
105
Table 247 mathtools Extensible Accents⏞ ⏟ 119886119887119888 overbraceabc 119886119887119888⏟ ⏞ underbraceabc
119886119887119888 overbracketabc 119886119887119888 underbracketabc
overbracket and underbracket accept optional arguments that specify thebracket height and thickness See the mathtools documentation for more in-formation
Table 248 mathabx Extensible Accentshkkikkj
119886119887119888 overbraceabc Ď119886119887119888 widebarabchkkkkj
119886119887119888 overgroupabc |119886119887119888 widecheckabc
119886119887119888loomoon
underbraceabc Ň119886119887119888 wideparenabc
119886119887119888loooon
undergroupabc Ň119886119887119888 wideringabc
Ĺ119886119887119888 widearrowabc
The braces shown for overbrace and underbrace appear in their minimumsize They can expand arbitrarily wide however
Table 249 fourier Extensible Accents
Ugrave119886119887119888 widearcabc 119886119887119888 wideparenabc
aring119886119887119888 wideOarcabc 119886119887119888 wideringabc
Table 250 esvect Extensible Accents
rdquo
119886119887119888 vvabc with package option a bdquo
119886119887119888 vvabc with package option b laquo
119886119887119888 vvabc with package option c raquo
119886119887119888 vvabc with package option d ndash
119886119887119888 vvabc with package option e mdash
119886119887119888 vvabc with package option f
119886119887119888 vvabc with package option g permil
119886119887119888 vvabc with package option h
esvect also defines a vv macro which is used to typeset arrows over vectorvariables with subscripts See the esvect documentation for more information
106
Table 251 abraces Extensible Accents⏞ ⏟ 119886119887119888 aoverbraceabc 119886119887119888⏟ ⏞ aunderbraceabc
aoverbrace and aunderbrace accept optional arguments that provide agreat deal of control over the bracesrsquo appearance For example these com-mands can produce braces with asymmetric endpoints braces that span linesdashed braces and multicolored braces See the abraces documentation formore information
Table 252 undertilde Extensible Accents
119886119887119888 utildeabc
Because utilde is based on widetilde it is also made more extensible bythe yhmath package (Table 242 on page 104)
Table 253 ushort Extensible Accents
119886119887119888 ushortdwabc 119886119887119888 ushortwabc
ushortw and ushortdw are intended to be used with multi-character argu-ments (ldquowordsrdquo) while ushortand ushortd are intended to be used withsingle-character arguments
The underlines produced by the ushort commands are shorter than those pro-duced by the underline command Consider the output from the expres-sion ldquoushortxushortyunderlinexunderlineyrdquo which lookslike ldquo119909119910119909119910rdquo
Table 254 mdwmath Extensible Accentsradic119886119887119888 sqrtabc
Table 255 actuarialangle Extensible Accents
119886119887119888 actuarialangleabc
The actuarialangle package additionally defines angl as actuarialangle
with a small amount of extra space to the right of the accented expressionunder the angln as angln and anglr as anglr
Table 256 119964ℳ119982 Extensible Arrows
119886119887119888larrminusminus xleftarrowabc119886119887119888minusminusrarr xrightarrowabc
107
Table 257 mathtools Extensible Arrows
119886119887119888larrminusminus˒ xhookleftarrowabc119886119887119888minusminusminusminus xleftrightharpoonsabc
119886119887119888minus˓minusrarr xhookrightarrowabc119886119887119888↦minusminusrarr xmapstoabc
119886119887119888lArr== xLeftarrowabc119886119887119888==rArr xRightarrowabc
119886119887119888minusminus xleftharpoondownabc
119886119887119888minusminus xrightharpoondownabc
119886119887119888minusminus xleftharpoonupabc
119886119887119888minusminus xrightharpoonupabc
119886119887119888larrminusrarr xleftrightarrowabc119886119887119888minusminusminusminus xrightleftharpoonsabc
119886119887119888lArr=rArr xLeftrightarrowabc
Table 258 chemarr Extensible Arrows119886119887119888minusminusminusminus xrightleftharpoonsabc
Table 259 chemarrow Extensible Arrows
abcDGGGGGGG
defautoleftarrowabcdef
abcGGGGGGGA
defautorightarrowabcdef
abcEGGGGGGGGGGGGGGC
defautoleftrightharpoonsabcdef
abcGGGGGGGBFGGGGGGG
defautorightleftharpoonsabcdef
In addition to the symbols shown above chemarrow also provides larrowfillrarrowfill leftrightharpoonsfill and rightleftharpoonsfill
macros Each of these takes a length argument and produces an arrow ofthe specified length
Table 260 extarrows Extensible Arrows
119886119887119888lArr=rArr xLeftrightarrowabc119886119887119888lArr==rArr xLongleftrightarrowabc
119886119887119888larrminusrarr xleftrightarrowabc119886119887119888larrminusminusrarr xlongleftrightarrowabc
119886119887119888==== xlongequalabc
119886119887119888==rArr xLongrightarrowabc
119886119887119888lArr== xLongleftarrowabc119886119887119888minusminusrarr xlongrightarrowabc
119886119887119888larrminusminus xlongleftarrowabc
108
Table 261 extpfeil Extensible Arrows
119886119887119888==== xlongequalabc
119886119887119888minusminusminusminus xtwoheadleftarrowabc
119886119887119888↦minusminusrarr xmapstoabc119886119887119888minusminusminusminus xtwoheadrightarrowabc
119886119887119888minus===minus xtofromabc
The extpfeil package also provides a newextarrow command to help you defineyour own extensible arrow symbols See the extpfeil documentation for moreinformation
Table 262 DotArrow Extensible Arrows119886≻ dotarrowa
The DotArrow package provides mechanisms for lengthening the arrow adjust-ing the distance between the arrow and its symbol and altering the arrowheadSee the DotArrow documentation for more information
Table 263 halloweenmath Extensible Arrows
larrminusminus119886119887119888 overscriptleftarrowabc 119886119887119888larrminusminus underscriptleftarrowabclarrrarr119886119887119888 overscriptleftrightarrowabc 119886119887119888larrrarr underscriptleftrightarrowabcminusminusrarr119886119887119888 overscriptrightarrowabc 119886119887119888minusminusrarr underscriptrightarrowabc
These commands always typeset the arrow in script (small) style hence theldquoscriptrdquo in their names Contrast the size of the arrowheads in the followingexamples
minusrarr119886119887119888 vs
minusminusrarr119886119887119888
overrightarrowabc overscriptrightarrowabc
Table 264 trfsigns Extensible Transform Symbols
119886119887119888dftabc
119886119887119888DFTabc
Table 265 esrelation Extensible Relations
laquo raquo119886119887119888ampampamp relationleftprojectabc
ndash bdquo$$$119886119887119888 relationrightprojectabc
$$$119886119887119888mdash relationliftingabc
109
Table 266 halloweenmath Extensible Witches
minusminusisin119886119887119888 overleftwitchonbroomabc
niminusminus119886119887119888 overrightwitchonbroomabc
minusminusisin119886119887119888 overleftwitchonbroomabc
niminusminus119886119887119888 overrightwitchonbroomabc
119886119887119888minusminusisin
underleftwitchonbroomabc 119886119887119888niminusminus
underrightwitchonbroomabc
119886119887119888minusminusisin
underleftwitchonbroomabc 119886119887119888niminusminus
underrightwitchonbroomabc
119886119887119888
minusminusminusisin xleftwitchonbroomabc
119886119887119888
niminusminusminus xrightwitchonbroomabc
119886119887119888
minusminusminusisin xleftwitchonbroomabc
119886119887119888
niminusminusminus xrightwitchonbroomabc
Table 267 halloweenmath Extensible Ghosts
119886119887119888 overleftswishingghostabc 119886119887119888 overrightswishingghostabc
119886119887119888 underleftswishingghostabc 119886119887119888 underrightswishingghostabc
119886119887119888xleftswishingghostabc
119886119887119888xrightswishingghostabc
Table 268 holtpolt Non-commutative Division Symbols
119886119887119888119889119890119891
holterabcdef119886119887119888119889119890119891
polterabcdef
Table 269 Dots
middot cdotp colon ldotp vdotsdagger
middot middot middot cdots ddotsdagger ldots
While ldquordquo is valid in math mode colon uses different surrounding spac-ing See Section 104 and the Short Math Guide for LATEX [Dow00] for moreinformation on math-mode spacing
dagger The mathdots package redefines ddots and vdots (Table 275) to make themscale properly with font size (They normally scale horizontally but not verti-cally) fixedddots and fixedvdots provide the original fixed-height func-tionality of LATEX 2120576rsquos ddots and vdots macros
110
Table 270 119964ℳ119982 Dots
∵ because middot middot middot dotsi there4 therefore
middot middot middot dotsb middot middot middot dotsm
dotsc dotso
because and therefore are defined as binary relations and therefore alsoappear in Table 89 on page 48
The 119964ℳ119982 dots symbols are named according to their intended usagedotsb between pairs of binary operatorsrelations dotsc between pairs ofcommas dotsi between pairs of integrals dotsm between pairs of multipli-cation signs and dotso between other symbol pairs
Table 271 wasysym Dots
there4 wasytherefore
Table 272 MnSymbol Dots
sdot cdot hdotdot ⋰ udots
ddotdot ⋯ hdots there4 uptherefore
⋱ ddots lefttherefore ∶ vdotdot
13 diamonddots righttherefore ⋮ vdots
∵ downtherefore ∷ squaredots
fivedots udotdot
MnSymbol defines therefore as uptherefore and because asdowntherefore Furthermore cdotp and colon produce the same glyphsas cdot and vdotdot respectively but serve as TEX math punctuation(class 6 symbols) instead of TEX binary operators (class 2)
All of the above except hdots and vdots are defined as binary operatorsand therefore also appear in Table 56 on page 30
Table 273 fdsymbol Dots
sdot cdot ⋯ hdots ⋰ udots
ddotdot lefttherefore there4 uptherefore
⋱ ddots righttherefore ∶ vdotdot
∵ downtherefore ∷ squaredots
hdotdot udotdot
fdsymbol defines adots as a synonym for udots because as a synonymfor downtherefore cdotp as a synonym for cdot cdots as a synonymfor hdots Colon as a synonym for squaredots colon mathcolon andmathratio as synonyms for vdotdot and therefore as a synonym foruptherefore (Some of these serve different mathematical roles such asrelations versus binary operators)
111
Table 274 stix Dots
⋰ adots ⋯ cdots ⦙ fourvdots
∵ because ∷ Colon ldotp
sdot cdot ⋱ ddots hellip mathellipsis
middot cdotp enleadertwodots there4 therefore
stix defines centerdot as a synonym for cdotp and dotsb and dotsm assynonyms for cdots
Table 275 mathdots Dots
ddots
iddots vdots
Unlike the default definitions of the above (Table 269) mathdotsrsquos commandsare designed to scale properly with the surrounding font size
Table 276 yhmath Dots
adots
Table 277 teubner Dots
antilabe
Table 278 begriff Begriffsschrift Symbols
BGassert BGcontent BGnot
119887119886
BGconditionalab a BGquanta
The begriff package contains additional commands for typesetting Fregersquos Be-griffsschrift notation for second-order logic See the begriff documentation formore information
112
Table 279 frege Begriffsschrift Symbols
Facontent Fanncontent Fncontent
Fancontent Fcontent Fnncontent
a Fannquanta a Faquanta a Fnquantaa Fannquantna a Faquantna a Fnquantnaa Fannquantnna a Faquantnna a Fnquantnnaa Fanquanta a Fnnquanta a Fquantnaa Fanquantna a Fnnquantna a Fquantnnaa Fanquantnna a Fnnquantnna
The frege package contains additional commands for typesetting Fregersquos Be-griffsschrift notation for second-order logic See the frege documentation formore information
Table 280 mathcomp Math Symbols
tccentigrade Ω tcohm permil tcperthousand
micro tcmu tcpertenthousand
Table 281 marvosym Math Symbols
W AngleSign gt LargerOrEqual MVMultiplication
Conclusion lt LessOrEqual MVPeriod
] Congruent divide MultiplicationDot + MVPlus
= Corresponds MVComma MVRightArrow
[ Divides MVDivision ) MVRightBracket
DividesNot ( MVLeftBracket ^ NotCongruent
Equivalence - MVMinus
Table 282 marvosym Digits
0 MVZero 2 MVTwo 4 MVFour 6 MVSix 8 MVEight
1 MVOne 3 MVThree 5 MVFive 7 MVSeven 9 MVNine
Table 283 fge Digits
0 fgestruckzero 1 fgestruckone
Table 284 dozenal Base-12 Digits
X x E e
Table 285 mathabx Mayan Digits
0 maya0 2 maya2 4 maya4
1 maya1 3 maya3 5 maya5
113
Table 286 stix Infinities
acidfree infin infty ⧝ tieinfty
⧜ iinfin ⧞ nvinfty
Table 287 stix Primes
prime prime backprime
Prime dprime backdprime
trprime backtrprime
qprime
Table 288 stix Empty Sets
empty emptyset ⦱ emptysetobar empty varnothing
⦳ emptysetoarr ⦲ emptysetocirc
⦴ emptysetoarrl ⦰ revemptyset
Table 289 119964ℳ119982 Angles
ang angle ] measuredangle ^ sphericalangle
Table 290 MnSymbol Angles
ang angle ∡ measuredangle ∢ sphericalangle
Table 291 fdsymbol Angles
ang angle ⦣ revangle ∢ sphericalangle
∡ measuredangle ⦛ revmeasuredangle sect sphericalangledown
⊾ measuredrightangle ∟ rightangle ⦠ sphericalangleleft
⦝ measuredrightangledot ⦜ rightanglesquare ⦡ sphericalangleup
fdsymbol defines measuredangleleft as a synonym for revmeasuredanglerevsphericalangle and gtlpar as synonyms for sphericalangleleftrightanglesqr as a synonym for rightanglesquare andrightanglemdot as a synonym for measuredrightangledot
Table 292 boisik Angles
Otilde angle agrave rightangle times sphericalangle
Ouml measuredangle acirc rightanglemdot
aacute measuredrightangle atilde rightanglesqr
114
Table 293 stix Angles
⦟ angdnr ⦨ measanglerutone ⦝ rightanglemdot
ang angle ⦭ measangleultonw ⦜ rightanglesqr
⦞ angles ⦬ measangleurtone ∢ sphericalangle
⦤ angleubar ∡ measuredangle ⦡ sphericalangleup
⦠ gtlpar ⦛ measuredangleleft ⟀ threedangle
⦯ measangledltosw ⊾ measuredrightangle ⦢ turnangle
⦮ measangledrtose ⍼ rangledownzigzagarrow ⦦ wideangledown
⦫ measangleldtosw ⦣ revangle ⦧ wideangleup
⦩ measanglelutonw ⦥ revangleubar
⦪ measanglerdtose ∟ rightangle
Table 294 Miscellaneous LATEX 2120576 Math Symbols
alefsym aleph Boxdagger nabla nabla triangle
empty emptysetDagger ^ Diamond not neg angle infin infty prime prime
∖ backslash f mholsquo
surd
Not predefined in LATEX 2120576 Use one of the packages latexsym amsfontsamssymb txfonts pxfonts or wasysym Note however that amsfonts andamssymb define Diamond to produce the same glyph as lozenge (ldquodiamsrdquo) theother packages produce a squarer Diamond as depicted above
dagger To use Boxmdashor any other symbolmdashas an end-of-proof (QED) marker con-sider using the ntheorem package which properly juxtaposes a symbol with theend of the proof text
Dagger Many people prefer the look of 119964ℳ119982rsquos varnothing (ldquoemptyrdquo Table 295) to thatof LATEXrsquos emptyset
Table 295 Miscellaneous 119964ℳ119982 Math Symbols
8 backprime H blacktriangledown f mho
F bigstar diagdown square
blacklozenge diagup O triangledown
blacksquare eth eth empty varnothing
N blacktriangle diams lozenge M vartriangle
Table 296 Miscellaneous wasysym Math Symbols
2 Box 3 Diamond f mho varangle
wasysym also defines an agemO symbol which is the same glyph as mho butis intended for use in text mode
Table 297 Miscellaneous txfontspxfonts Math Symbols
_ Diamondblack o lambdabar
Diamonddot n lambdaslash
115
Table 298 Miscellaneous mathabx Math Symbols
0 degree 4 fourth gt measuredangle 2 second
aring diagdown hash amp pitchfork sphericalangle
auml diagup 8 infty 9 propto 3 third
I diameter $ leftthreetimes rightthreetimes varhash
Table 299 Miscellaneous MnSymbol Math Symbols
backneg empty diameter ⨼ invneg not neg
backprime infin infty maltese prime prime
checkmark ⨽ invbackneg nabla nabla int smallint
MnSymbol defines emptyset and varnothing as synonyms for diameterlnot and minushookdown as synonyms for neg minushookup as asynonym for invneg hookdownminus as a synonym for backneg andhookupminus as a synonym for invbackneg
Table 300 Miscellaneous Internal MnSymbol Math Symbols
q partialvardint p partialvartint
⨚ partialvardlanddownint ⨚ partialvartlanddownint
⨙ partialvardlandupint ⨙ partialvartlandupint
∲ partialvardlcircleleftint ∲ partialvartlcircleleftint
∲ partialvardlcirclerightint ∲ partialvartlcirclerightint
∯ partialvardoiint ∯ partialvartoiint
∮ partialvardoint ∮ partialvartoint
∳ partialvardrcircleleftint ∳ partialvartrcircleleftint
∳ partialvardrcirclerightint ∳ partialvartrcirclerightint
⨏ partialvardstrokedint ⨏ partialvartstrokedint
⨋ partialvardsumint ⨋ partialvartsumint
These symbols are intended to be used internally by MnSymbol to constructthe integrals appearing in Table 80 on page 43 but can nevertheless be used inisolation
Table 301 Miscellaneous fdsymbol Math Symbols
backneg infin infty prime prime
backprime invneg ⦰ revemptyset
checkmark maltese sector
empty emptyset not neg int smallint
fdsymbol defines hookdownminus as a synonym for backneg invneg andinvnot as synonyms for backneg lnot and minushookdown as synonymsfor neg turnedbackneg as a synonym for intprodr turnedneg as asynonym for intprod and diameter and varnothing as synonyms foremptyset
116
Table 302 Miscellaneous boisik Math Symbols
~ backepsilon ograve hermitmatrix Yacute notbot
Agrave backprime divide iinfin Uuml nottop
iuml checkmark invnot riota
aring dalambert lambdabar ntilde sinewave
Uuml diagdown lambdaslash Aacute varnothing
Ucirc diagup icirc maltese
Table 303 Miscellaneous stix Math Symbols
accurrent ⊹ hermitmatrix PropertyLine
∖ backslash hyphenbullet ∎ QED
bbrktbrk 〰 hzigzag Question
⟘ bigbot ∆ increment ⤫ rdiagovfdiag
⫼ biginterleave inversebullet ⟖ rightouterjoin
⟙ bigtop invnot ⅃ sansLmirrored
blacksmiley ⨝ Join ⅂ sansLturned
⎪ bracevert ⧠ laplac ∿ sinewave
caretinsert ⟕ leftouterjoin strns
checkmark llarc ⧧ thermod
conictaper lrarc ⫱ topcir
danger maltese turnednot
⟍ diagdown sect mathsection ⏡ ubrbrak
⟋ diagup mathvisiblespace ularc
diameter nabla nabla urarc
dingasterisk not neg viewdata
elinters ⏠ obrbrak ⦚ vzigzag
eth eth ⫡ perps yen yen
Exclam postalmark ⨟ zcmp
⤬ fdiagovrdiag profline ⨠ zpipe
⟗ fullouterjoin profsurf ⨡ zproject
stix defines lnot as a synonym for neg
Table 304 Miscellaneous textcomp Text-mode Math Symbols
deg textdegree frac12 textonehalfdagger frac34 textthreequartersdagger
divide textdiv frac14 textonequarterdagger sup3 textthreesuperior
frasl textfractionsolidus sup1 textonesuperior times texttimes
not textlnot plusmn textpm sup2 texttwosuperior
minus textminus radic textsurd
If you prefer a larger degree symbol you might consider defining one asldquoensuremath^circrdquo (ldquo∘rdquo)
dagger nicefrac (part of the units package) or the newer xfrac package can be used toconstruct vulgar fractions like ldquo12rdquo ldquo14rdquo ldquo34rdquo and even ldquocordquo
117
Table 305 Miscellaneous fge Math Symbols
K fgebackslash S fgecap R fgecupacute h fgelangle
M fgebaracute Q fgecapbar P fgecupbar L fgeupbracket
O fgebarcap N fgecup i fgeinfty
Table 306 Miscellaneous mathdesign Math Symbols
∟ rightangle
118
Table 307 Math Alphabets
Font sample Generating command Required package
ABCdef123 mathrmABCdef123 noneABCdef123 mathitABCdef123 none119860119861119862119889119890119891123 mathnormalABCdef123 none119964ℬ119966 mathcalABC none119964ℬ119966 mathscrABC mathrsfs
or mathcalABC calrsfsABC mathcalABC euscript with the mathcal option
or mathscrABC euscript with the mathscr optionABC mathcalABC rsfso
or mathscrABC rsfso with the scr optionABC mathcalABC urwchancal
or mathscrABC urwchancal with the mathscr optionABC mathbbABC amsfontsS amssymb txfonts or pxfonts varmathbbABC txfonts or pxfontsABCdef123 mathbbABCdef123 bbold or mathbboldagger
ABCdef123 mathbbABCdef123 mbboarddagger
ABCdef12 mathbbmABCdef12 bbmABCdef12 mathbbmssABCdef12 bbmABCdef12 mathbbmttABCdef12 bbmABC1 mathdsABC1 dsfontABC1 mathdsABC1 dsfont with the sans option
AacuteAcircAtilde symAsymBsymC china2eDagger
ABCdef123 mathfrakABCdef123 eufrakABCdef123 textfrakABCdef123 yfontspara
ABCdef123 textswabABCdef123 yfontspara
ABCˇf123 textgothABCdef123 yfontspara
urwchancal redefines mathcal or mathscr to use Zapf Chancery as the cali-graphic or script font However like all mathcal and mathscr commandsshown in Table 307 these support only uppercase letters An alternative is toput ldquoDeclareMathAlphabetmathpzcOT1pzcmitrdquo in your docu-mentrsquos preamble to make mathpzc typeset a wider set of characters in ZapfChancery Unfortunately with this technique accents superscripts and sub-scripts donrsquot align as well as they do with urwchancal
As a similar trick you can typeset the Calligra fontrsquos script ldquor rdquo (or othercalligraphic symbols) in math mode by loading the calligra package andputting ldquoDeclareMathAlphabetmathcalligraT1calligramnrdquoin your documentrsquos preamble to make mathcalligra typeset itsargument in the Calligra font You may also want to spec-ify ldquoDeclareFontShapeT1calligramnlt-gts[22]callig15rdquoto set Calligra at 22 times its design size for a better blend with typical bodyfonts
119
dagger The mathbbol package defines some additional blackboard bold charac-ters parentheses square brackets angle brackets andmdashif the bbgreekl op-tion is passed to mathbbolmdashGreek letters For instance ldquolt[(13)]gtrdquo isproduced by ldquomathbbLangleLbrackLparenbbalphabbbetabbgammaRparenRbrackRanglerdquo
mbboard extends the blackboard bold symbol set significantly further Itsupports not only the Greek alphabetmdashincluding ldquoGreek-likerdquo symbols suchas bbnabla (ldquordquo)mdashbut also all punctuation marks various currency sym-bols such as bbdollar (ldquo$rdquo) and bbeuro (ldquoucircrdquo) and the Hebrew alpha-bet (eg ldquobbfinalnunbbyodbbqofbbperdquo rarr ldquoIumlEacutetimesOcircrdquo)
Dagger The sym commands provided by the ChinA2e package are actually text-mode commands They are included in Table 307 because they resemble theblackboard-bold symbols that appear in the rest of the table In addition to the26 letters of the English alphabet ChinA2e provides three umlauted blackboard-bold letters symAE (ldquoUcircrdquo) symOE (ldquoUumlrdquo) and symUE (ldquoYacuterdquo) Note that ChinA2edoes provide math-mode commands for the most common number-set symbolsThese are presented in Table 183 on page 89
para As their text names imply the fonts provided by the yfonts package areactually text fonts They are included in Table 307 because they are frequentlyused in a mathematical context
S An older (ie prior to 1991) version of the 119964ℳ119982rsquos fonts rendered C N R Sand Z as C N R S and Z As some people prefer the older glyphsmdashmuchto the 119964ℳ119982rsquos surprisemdashand because those glyphs fail to build under modernversions of METAFONT Berthold Horn uploaded PostScript fonts for the olderblackboard-bold glyphs to CTAN to the fontsmsym10 directory As of thiswriting however there are no LATEX 2120576 packages for utilizing the now-obsoleteglyphs
120
4 Science and technology symbols
This section lists symbols that are employed in various branches of science and engineering
Table 308 gensymb Symbols Defined to Work in Both Math and Text Mode
celsius micro micro permil perthousand
deg degree Ω ohm
Table 309 wasysym Electrical and Physical Symbols
AC VHF photon HF QPPPPPPR gluon
Table 310 ifsym Pulse Diagram Symbols
FallingEdge LongPulseLow PulseLow ShortPulseHigh
amp LongPulseHigh $ PulseHigh RaisingEdge ShortPulseLow
In addition within textifsym the following codes are valid
l l m m h h d d lt lt gt gt
L L M M H H D D = ltlt gtgt
This enables one to write ldquotextifsymmmltDDDgtmmrdquo to get ldquommltDDDgtmmrdquo or
ldquotextifsymL|H|L|H|Lrdquo to get ldquoL|H|L|H|Lrdquo See also the timing packagewhich provides a wide variety of pulse-diagram symbols within an environmentdesigned specifically for typesetting pulse diagrams
Finally textifsym supports the display of segmented digits as would
appear on an LCD ldquotextifsym-123456rdquo produces ldquo-123456rdquo
ldquotextifsymbrdquo outputs a blank with the same width as an ldquo8rdquo
Table 311 ar Aspect Ratio Symbol
A AR
Table 312 textcomp Text-mode Science and Engineering Symbols
textcelsius textmho micro textmu Ω textohm
121
Table 313 steinmetz Extensible Phasor Symbol
119886119887119888 phaseabc
The phase command uses the pict2e package to draw a horizontally andvertically scalable Steinmetz phasor symbol Consequently phase works onlywith those TEX backends supported by pict2e See the pict2e documentationfor more information
Table 314 emf Electromotive Force Symbols
E emf with package option boondox (default)
E emf with package option cal
E emf with package option calligra
E emf with package option chorus
ℰ emf with package option cmr
E emf with package option fourier
E emf with package option frcursive
E emf with package option miama
ℰ emf with package option rsfs
With the cal package option emf uses mathcal Hence the depiction of ldquoErdquodepends on the currently loaded math font
Table 315 wasysym Astronomical Symbols
mercury earth X jupiter Z uranus pluto venus mars Y saturn [ neptune
⊙ astrosun fullmoon $ leftmoon newmoon rightmoon
aries _ cancer a libra e aquarius
] taurus leo b scorpio d capricornus
^ gemini ` virgo c sagittarius f pisces
ascnode descnode V conjunction W opposition vernal
Table 316 marvosym Astronomical Symbols
Acirc Mercury Ecirc Earth Aring Jupiter Ccedil Uranus Eacute Pluto
Atilde Venus Auml Mars AElig Saturn Egrave Neptune
Aacute Moon Agrave Sun
agrave Aries atilde Cancer aelig Libra eacute Capricorn
aacute Taurus auml Leo ccedil Scorpio ecirc Aquarius
acirc Gemini aring Virgo egrave Sagittarius euml Pisces
Note that Aries Pisces can also be specified with Zodiac1 Zodiac12
122
Table 317 fontawesome Astronomical Symbols
faMars faMoonO faVenus
| faMercury faSunO
Table 318 mathabx Astronomical Symbols
A Mercury C Earth E Jupiter G Uranus I Pluto
B Venus D Mars F Saturn H Neptune J varEarth
M fullmoon K leftmoon N newmoon L rightmoon Sun
P Aries Q Taurus R Gemini
mathabx also defines girl as an alias for Venus boy as an alias for Marsand Moon as an alias for leftmoon
Table 319 stix Astronomical Symbols
astrosun leftmoon rightmoon sun
123
Table 320 starfont Astronomical Symbols
f Mercury h Mars F Uranus l varTerra
g Venus j Jupiter G Neptune A varUranus
L Terra S Saturn J Pluto H varPluto
s Sun d Moon a varMoon
auml Cupido uuml Zeus szlig Apollon ouml Vulkanus
Uuml Hades Auml Kronos Ouml Admetos sect Poseidon
Oslash Lilith k NorthNode SouthNode
+ Amor Eros Juno ˝ Sappho
Acirc Ceres Hidalgo Pallas ˙ Vesta
D Chiron frac12 Hygiea iquest Psyche
K Fortune
x Aries n Leo V Sagittarius Z varCapricorn
c Taurus m Virgo B Capricorn
v Gemini X Libra N Aquarius
b Cancer C Scorpio M Pisces
q Conjunction t Square w Semisextile
p Opposition r Sextile e Semisquare
u Trine o Quincunx i Sesquiquadrate
1 ASC rsquo EastPoint 3 MC
2 DSC 4 IC Vertex
7 Direct 5 Retrograde 6 Station
Ograve Air Ntilde Earth ETH Fire Oacute Water
0 Natal aring Pentagram ) Radix
Table 321 wasysym APL Symbols
~ APLbox divide~ APLinv E APLstar
APLcomment p APLleftarrowbox APLup
F APLdown APLlog n APLuparrowbox
o APLdownarrowbox minus APLminus ∖minus notbackslash
APLinput q APLrightarrowbox minus notslash
∘119886 APLcirca sim119886 APLnota |119886 APLverta
Table 322 stix APL Symbols
APLboxquestion APLnotbackslash
APLboxupcaret APLnotslash
124
Table 323 apl APL Symbols
| AB DD | GD LK PD ^ UA G ZG Q ZQ
AM DE GE LO QQ US H ZH R ZR
BL DL GO LU RB UU I ZI S ZS
BX DM | GU NE RK XQ J ZJ T ZT
- CB DQ IB NG RO A ZA K ZK U ZU
CE DU 13 IO amp NN RU B ZB L ZL V ZV
CO EN LB NR | RV C ZC M ZM W ZW
- CR EP LD NT SO D ZD N ZN X ZX
- CS FL LE OM SS SS E ZE O ZO Y ZY
DA FM LG OR TR F ZF P ZP Z ZZ
Table 324 marvosym Computer Hardware Symbols
Iacute ComputerMouse Ntilde ParallelPort Icirc SerialInterface
Iuml Keyboard Ograve Printer ETH SerialPort
Table 325 keystroke Computer Keys
Alt Alt Enter Enter PrtSc PrtSc
AltGr AltGr Esc Esc rarr RArrow
Break Break Home Home larr˒ Return
↦minusrarr BSpacedagger Ins Ins Scroll Scroll
Ctrl Ctrl larr LArrow Shift uArr Shift
darr DArrow Num NumLock Spacebar
Del Del Page darr PgDown minusminusrarrminusminusrarr Tabdagger
End End Page uarr PgUp uarr UArrow
Changes based on the language option passed to the keystroke package Forexample the german option makes Del produce ldquo Entf rdquo instead of ldquo Del rdquo
dagger These symbols utilize the rotating package and therefore display improperly inmost DVI viewers
The keystroke command draws a key with an arbitrary label For exampleldquokeystrokeF7rdquo produces ldquo F7 rdquo
125
Table 326 ascii Control Characters (CP437)
SOH BS SI SYN GS
STX HT DLE ETB RS
ETX LF DCa CAN US
EOT VT DCb EM
ENQ FF DCc SUB
ACK - CR DCd ESC
BEL SO NAK FS
DEL NBSP NUL brvbar splitvert
Code Page 437 (CP437) which was first utilized by the original IBM PC usesthe symbols SOH through US to depict ASCII characters 1ndash31 and DEL todepict ASCII character 127 The NUL symbol not part of CP437 representsASCII character 0 NBSP also not part of CP437 represents a nonbreakingspace splitvert is merely the ldquo|rdquo character drawn as it was on the IBM PC
Table 327 logic Logic Gates
ANDd BUFu NANDl ORd
ANDl BusWidth NANDr ORl
ANDr INVd NANDu ORr
ANDu INVl NORd ORu
BUFd INVr NORl
BUFl INVu 13 NORr
BUFr NANDd NORu
The logic package implements the digital logic-gate symbols specified bythe US Department of Defensersquos MIL-STD-806 standard Note thaton CTAN the package is called logic but the package is loaded usingusepackagemilstd (There was already amdashcompletely unrelatedmdashmilstdpackage on CTAN at the time of logicrsquos release) Consequently package detailsare listed under milstd in Table 532 and Table 533 on page 231
Table 328 marvosym Communication Symbols
k Email t fax v Faxmachine E Lightning A Pickup
z EmailCT u FAX B Letter H Mobilefone T Telefon
126
Table 329 marvosym Engineering Symbols
Beam l Force Octosteel RoundedTTsteel
Bearing Hexasteel Rectpipe Squarepipe
Circpipe amp Lefttorque Rectsteel Squaresteel
Circsteel L Lineload Righttorque Tsteel
Fixedbearing $ Loosebearing RoundedLsteel TTsteel
Flatsteel Lsteel RoundedTsteel
RoundedLsteel and RoundedTsteel seem to be swapped at least in the20000501 version of marvosym
Table 330 wasysym Biological Symbols
female male
Table 331 stix Biological Symbols
female male
Hermaphrodite neuter
Table 332 marvosym Biological Symbols
FEMALE FemaleMale | Male Neutral
~ Female Hermaphrodite MALE
FemaleFemale HERMAPHRODITE MaleMale
Table 333 fontawesome Biological Symbols
faGenderless faMarsStrokeH ~ faTransgenderAlt
faMars faMarsStrokeV faVenus
faMarsDouble faNeuter faVenusDouble
faMarsStroke faTransgender faVenusMars
fontawesome defines faIntersex as a synonym for faTransgender
Table 334 marvosym Safety-related Symbols
h Biohazard C CEsign ` Explosionsafe j Radioactivity
n BSEfree J Estatically a Laserbeam Stopsign
127
Table 335 feyn Feynman Diagram Symbols
para bigbosonloop hfermion ≪ smallbosonloopV
cup bigbosonloopA shfermion lceil wfermion
sup bigbosonloopV clubs smallbosonloop whfermion
∓ gvcropped cap smallbosonloopA
⊣ feyna rceil feynfu clubs feynglS 119974 feynhs
rfloor feync lfloor feynfv Dagger feynglu ⟩ feynhu
feynf feyng ⊓ feyngu feynm
lceil feynfd ⨿ feyng1 feyngv ⊘ feynms
feynfl ⊑ feyngd int feyngvs radic feynp
≀ feynflS dagger feyngl ⟨ feynh 119979 feynP
feynfs para feynglB | feynhd S feynx
All other arguments to the feyn command produce a ldquo perp rdquo symbol
The feyn package provides various commands for composing the precedingsymbols into complete Feynman diagrams See the feyn documentation forexamples and additional information
Table 336 svrsymbols Physics Ideograms
Ntilde adsorbate 119907 experimentalsym Otilde protein
ETH adsorbent 120549 externalsym 119889 proton
119908 antimuon 119888 fermiDistrib Ocirc quadrupole
119872 antineutrino 120548 fermion 119874 quark
119910 antineutron eth Gluon 119875 quarkb
119899 antiproton 119904 graphene 119876 quarkc
119864 antiquark divide graviton 119877 quarkd
119865 antiquarkb Euml hbond 119878 quarks
119866 antiquarkc ntilde Higgsboson 119879 quarkt
119867 antiquarkd ℎ hole 119880 quarku
119868 antiquarks Oacute interaction 119897 reference
119869 antiquarkt 120553 internalsym 120559 resistivity
119870 antiquarku 119891 ion aelig rhomesonminus
Ograve anyon Icirc ionicbond ccedil rhomesonnull
119906 assumption ouml Jpsimeson aring rhomesonplus
119862 atom icirc Kaonminus 119905 solid
Egrave bigassumption iuml Kaonnull 120592 spin
Ecirc Bigassumption iacute Kaonplus 119885 spindown
Eacute biggassumption Iacute magnon 119900 spinup
(continued on next page)
128
(continued from previous page)
Uacute Bmesonminus 120556 maxwellDistrib 119911 surface
Ucirc Bmesonnull Ccedil metalbond Igrave svrexample
Ugrave Bmesonplus 119860 method 119887 svrphoton
120595 bond 119909 muon Iuml tachyon
120561 boseDistrib 119873 neutrino times tauleptonminus
120564 boson 119892 neutron Ouml tauleptonplus
120594 conductivity 119890 nucleus agrave Tmesonminus
⁀ covbond 119861 orbit aacute Tmesonnull
119881 dipole atilde phimeson szlig Tmesonplus
Yacute Dmesonminus auml phimesonnull AElig triplecovbond
THORN Dmesonnull 119895 phonon acirc Upsilonmeson
Uuml Dmesonplus euml pionminus 119871 varphoton
Aring doublecovbond igrave pionnull 119903 water
119886 electron ecirc pionplus ocirc Wboson
119902 errorsym 119901 plasmon oacute Wbosonminus
egrave etameson 120601 polariton ograve Wbosonplus
eacute etamesonprime 119896 polaron otilde Zboson
119894 exciton 119898 positron
129
5 Dingbats
Dingbats are symbols such as stars arrows and geometric shapes They are commonly used as bulletsin itemized lists or more generally as a means to draw attention to the text that follows
The pifont dingbat package warrants special mention Among other capabilities pifont provides aLATEX interface to the Zapf Dingbats font (one of the standard 35 PostScript fonts) However rather thanname each of the dingbats individually pifont merely provides a single ding command which outputsthe character that lies at a given position in the font The consequence is that the pifont symbols canrsquotbe listed by name in this documentrsquos index so be mindful of that fact when searching for a particularsymbol
Table 337 bbding Arrows
y ArrowBoldDownRight z ArrowBoldRightShort x ArrowBoldUpRight
ArrowBoldRightCircled w ArrowBoldRightStrobe
Table 338 pifont Arrows
Ocirc ding212 Yacute ding221 aelig ding230 iuml ding239 ugrave ding249
Otilde ding213 THORN ding222 ccedil ding231 ntilde ding241 uacute ding250
Ouml ding214 szlig ding223 egrave ding232 ograve ding242 ucirc ding251
times ding215 agrave ding224 eacute ding233 oacute ding243 uuml ding252
Oslash ding216 aacute ding225 ecirc ding234 ocirc ding244 yacute ding253
Ugrave ding217 acirc ding226 euml ding235 otilde ding245 thorn ding254
Uacute ding218 atilde ding227 igrave ding236 ouml ding246
Ucirc ding219 auml ding228 iacute ding237 divide ding247
Uuml ding220 aring ding229 icirc ding238 oslash ding248
Table 339 adfsymbols Arrows
C adfarrowe1 J adfarrowne1 E adfarrows1 F adfarrowsw1
K adfarrowe2 R adfarrowne2 M adfarrows2 N adfarrowsw2
S adfarrowe3 Z adfarrowne3 U adfarrows3 V adfarrowsw3
c adfarrowe4 j adfarrowne4 e adfarrows4 f adfarrowsw4
k adfarrowe5 r adfarrowne5 m adfarrows5 n adfarrowsw5
s adfarrowe6 z adfarrowne6 u adfarrows6 v adfarrowsw6
I adfarrown1 H adfarrownw1 D adfarrowse1 G adfarroww1
Q adfarrown2 P adfarrownw2 L adfarrowse2 O adfarroww2
Y adfarrown3 X adfarrownw3 T adfarrowse3 W adfarroww3
i adfarrown4 h adfarrownw4 d adfarrowse4 g adfarroww4
q adfarrown5 p adfarrownw5 l adfarrowse5 o adfarroww5
y adfarrown6 x adfarrownw6 t adfarrowse6 w adfarroww6
B adfhalfarrowleft A adfhalfarrowright
b adfhalfarrowleftsolid a adfhalfarrowrightsolid
Technically the digit at the end of each adfarrow⟨dir⟩⟨digit⟩ command is amacro argument not part of the command name
The preceding symbols can also be produced by passing a number ora styledirection pair to the adfarrow command For example bothadfarrow19 and adfarrow[comic]east produce ldquoSrdquo See the adf-symbols documentation for more information
130
Table 340 adforn Arrows
adfhalfleftarrow ) adfhalfrightarrowhead
( adfhalfleftarrowhead [ adfleftarrowhead
adfhalfrightarrow ] adfrightarrowhead
Table 341 arev Arrows
arrowbullet
Table 342 fontawesome Arrows
faArrowCircleDown oslash faArrowDown para faLongArrowDown
( faArrowCircleLeft ugrave faArrowLeft middot faLongArrowLeft
H faArrowCircleODown uacute faArrowRight cedil faLongArrowRight
divide faArrowCircleOLeft Egrave faArrows sup1 faLongArrowUp
faArrowCircleORight faArrowsAlt icirc faRepeat
d faArrowCircleOUp ograve faArrowsH lt faUndo
) faArrowCircleRight ocirc faArrowsV
faArrowCircleUp ucirc faArrowUp
fontawesome defines faRotateLeft as a synonym for faUndo andfaRotateRight as a synonym for faRepeat
Table 343 fontawesome Chevrons
faChevronCircleDown $ faChevronCircleUp faChevronRight
faChevronCircleLeft faChevronDown faChevronUp
faChevronCircleRight faChevronLeft
Table 344 marvosym Scissors
q CutLeft R CuttingLine S RightScissors
s CutRight Q LeftScissors
Table 345 bbding Scissors
ScissorHollowLeft ScissorLeftBrokenTop
ScissorHollowRight ScissorRight
ScissorLeft ScissorRightBrokenBottom
ScissorLeftBrokenBottom ScissorRightBrokenTop
Table 346 pifont Scissors
ding33 ding34 ding35 $ ding36
131
Table 347 dingbat Pencils
W largepencil P smallpencil
Table 348 arev Pencils
pencil
Table 349 fontawesome Pencils
Ograve faPencil M faPencilSquare L faPencilSquareO
Table 350 bbding Pencils and Nibs
NibLeft PencilLeft PencilRightDown
NibRight PencilLeftDown PencilRightUp
NibSolidLeft PencilLeftUp
NibSolidRight PencilRight
Table 351 pifont Pencils and Nibs
ding46 ding47 0 ding48 1 ding49 2 ding50
Table 352 dingbat Fists
R leftpointright L rightpointleft N rightpointrightD leftthumbsdown d rightthumbsdownU leftthumbsup u rightthumbsup
Table 353 bbding Fists
HandCuffLeft HandCuffRightUp HandPencilLeft
HandCuffLeftUp HandLeft HandRight
13 HandCuffRight HandLeftUp HandRightUp
Table 354 pifont Fists
ding42 + ding43 ding44 - ding45
132
Table 355 fourier Fists
t lefthand u righthand
Table 356 arev Fists
pointright
Table 357 fontawesome Fists
shy faHandLizardO laquo faHandPaperO reg faHandSpockO
faHandODown deg faHandPeaceO faThumbsDown
faHandOLeft macr faHandPointerO faThumbsODown
faHandORight ordf faHandRockO - faThumbsOUp
faHandOUp not faHandScissorsO faThumbsUp
fontawesome defines faHandGrabO as a synonym for faHandRockO andfaHandStopO as a synonym for faHandPaperO
Table 358 bbding Crosses and Plusses
Cross + CrossOpenShadow amp PlusOutline
- CrossBoldOutline CrossOutline ) PlusThinCenterOpen
4 CrossClowerTips Plus
CrossMaltese ( PlusCenterOpen
Table 359 pifont Crosses and Plusses
9 ding57 ding59 = ding61 ding63
ding58 lt ding60 gt ding62 ding64
Table 360 adfsymbols Crosses and Plusses
D adfbullet4 F adfbullet6 H adfbullet8 J adfbullet10
E adfbullet5 G adfbullet7 I adfbullet9
Table 361 arev Crosses
eastcross westcross
Table 362 bbding Xs and Check Marks
Checkmark XSolid XSolidBrush
CheckmarkBold $ XSolidBold
133
Table 363 pifont Xs and Check Marks
3 ding51 5 ding53 7 ding55
4 ding52 6 ding54 8 ding56
Table 364 wasysym Xs and Check Marks
2 CheckedBox Square 4 XBox
Table 365 marvosym Xs and Check Marks
V Checkedbox X CrossedBox O HollowBox
marvosym defines Crossedbox as a synonym for CrossedBox
Table 366 arev Xs and Check Marks
ballotcheck ballotx
Table 367 fontawesome Xs and Check Marks
Euml faCheck faCheckSquare euml faTimesCircle
Iacute faCheckCircle faCheckSquareO ecirc faTimesCircleO
Igrave faCheckCircleO eacute faTimes
fontawesome defines both faClose and faRemove as synonyms for faTimes
Table 368 pifont Circled Numerals
not ding172 para ding182 Agrave ding192 Ecirc ding202
shy ding173 middot ding183 Aacute ding193 Euml ding203
reg ding174 cedil ding184 Acirc ding194 Igrave ding204
macr ding175 sup1 ding185 Atilde ding195 Iacute ding205
deg ding176 ordm ding186 Auml ding196 Icirc ding206
plusmn ding177 raquo ding187 Aring ding197 Iuml ding207
sup2 ding178 frac14 ding188 AElig ding198 ETH ding208
sup3 ding179 frac12 ding189 Ccedil ding199 Ntilde ding209
acute ding180 frac34 ding190 Egrave ding200 Ograve ding210
micro ding181 iquest ding191 Eacute ding201 Oacute ding211
pifont (part of the psnfss package) provides a dingautolist environment whichresembles enumerate but uses circled numbers as bullets4 See the psnfssdocumentation for more information
4In fact dingautolist can use any set of consecutive Zapf Dingbats symbols
134
Table 369 wasysym Stars
C davidsstar A hexstar B varhexstar
Table 370 bbding Stars Flowers and Similar Shapes
N Asterisk P FiveFlowerPetal 2 JackStar
A AsteriskBold 8 FiveStar 3 JackStarBold
B AsteriskCenterOpen FiveStarCenterOpen O SixFlowerAlternate
X AsteriskRoundedEnds FiveStarConvex U SixFlowerAltPetal
C AsteriskThin 7 FiveStarLines M SixFlowerOpenCenter
D AsteriskThinCenterOpen 9 FiveStarOpen Q SixFlowerPetalDotted
0 DavidStar FiveStarOpenCircled L SixFlowerPetalRemoved
DavidStarSolid lt FiveStarOpenDotted [ SixFlowerRemovedOpenPetal
Z EightAsterisk = FiveStarOutline G SixStar
S EightFlowerPetal gt FiveStarOutlineHeavy K SixteenStarLight
Y EightFlowerPetalRemoved FiveStarShadow ` Snowflake
H EightStar 1 FourAsterisk ^ SnowflakeChevron
I EightStarBold V FourClowerOpen _ SnowflakeChevronBold
F EightStarConvex W FourClowerSolid ] Sparkle
E EightStarTaper 5 FourStar SparkleBold
R FiveFlowerOpen 6 FourStarOpen J TwelweStar
Table 371 pifont Stars Flowers and Similar Shapes
A ding65 J ding74 S ding83 ding92 e ding101
B ding66 K ding75 T ding84 ] ding93 f ding102
C ding67 L ding76 U ding85 ^ ding94 g ding103
D ding68 M ding77 V ding86 _ ding95 h ding104
E ding69 N ding78 W ding87 ` ding96 i ding105
F ding70 O ding79 X ding88 a ding97 j ding106
G ding71 P ding80 Y ding89 b ding98 k ding107
H ding72 Q ding81 Z ding90 c ding99
I ding73 R ding82 [ ding91 d ding100
Table 372 adfsymbols Stars Flowers and Similar Shapes
A adfbullet1 M adfbullet13 R adfbullet18 W adfbullet23
B adfbullet2 N adfbullet14 S adfbullet19 X adfbullet24
C adfbullet3 O adfbullet15 T adfbullet20 Y adfbullet25
K adfbullet11 P adfbullet16 U adfbullet21 Z adfbullet26
L adfbullet12 Q adfbullet17 V adfbullet22
Table 373 adforn Stars
0 adfast1 2 adfast3 4 adfast5 6 adfast7 8 adfast9
1 adfast2 3 adfast4 5 adfast6 7 adfast8 9 adfast10
135
Table 374 fontawesome Stars
faStar faStarHalf faStarHalfO faStarO
fontawesome defines both faStarHalfEmpty and faStarHalfFull as syn-onyms for faStarHalfO
Table 375 fourier Fleurons and Flowers
o aldine X decoone c floweroneright
m aldineleft ] decosix g leafleft
n aldineright Y decothreeleft f leafNE
j aldinesmall Z decothreeright h leafright
[ decofourleft a decotwo d starredbullet
decofourright b floweroneleft
Table 376 adforn Fleurons and Flowers
r adfdownhalfleafleft R adfdownhalfleafright
x adfdownleafleft X adfdownleafright
l adfflatdownhalfleafleft L adfflatdownhalfleafright
m adfflatdownoutlineleafleft M adfflatdownoutlineleafright
u adfflatleafleft U adfflatleafright
n adfflatleafoutlineleft N adfflatleafoutlineright
v adfflatleafsolidleft V adfflatleafsolidright
q adfflowerleft Q adfflowerright
lt adfhalfleafleft gt adfhalfleafright
s adfhangingflatleafleft S adfhangingflatleafright
T adfhangingleafleft t adfhangingleafright
w adfleafleft W adfleafright
o adfoutlineleafleft O adfoutlineleafright
z adfsmallhangingleafleft Z adfsmallhangingleafright
y adfsmallleafleft Y adfsmallleafright
p adfsolidleafleft P adfsolidleafright
Table 377 wasysym Geometric Shapes
Circle G LEFTcircle 8 octagon H RIGHTcircle
CIRCLE G LEFTCIRCLE D pentagon H RIGHTCIRCLE
7 hexagon I Leftcircle J Rightcircle 9 varhexagon
Table 378 MnSymbol Geometric Shapes
filledlargestar loz largelozenge loz medlozenge
⧫ filledlozenge largepentagram medstarofdavid
⧫ filledmedlozenge ◻ largesquare loz smalllozenge
largecircle largestar
largediamond largestarofdavid
MnSymbol defines bigcirc as a synonym for largecircle bigstar as asynonym for filledlargestar lozenge as a synonym for medlozengeand blacklozenge as a synonym for filledmedlozenge
136
Table 379 fdsymbol Geometric Shapes
largeblackcircle _ largetriangledown loz medlozenge
largeblacksquare ^ largetriangleup smallblacklozenge
largeblackstar largewhitestar smalllozenge
largecircle ⟠ lozengeminus starofdavid
largesquare ⧫ medblacklozenge
fdsymbol defines synonyms for almost all of the preceding symbols
bigcirc lgblksquare loz mdlgwhtlozenge
bigstar lgwhtcircle loz mdwhtlozenge
_ bigtriangledown lgwhtsquare smblklozenge
^ bigtriangleup loz lozenge smwhtlozenge
⧫ blacklozenge ⧫ mdblklozenge
lgblkcircle ⧫ mdlgblklozenge
Table 380 boisik Geometric Shapes
atilde bigstar diamond iacute triangledown
atilde blacklozenge acirc lozenge yuml triangleleft
iuml blacksquare ccedil lozengedot thorn triangleright
euml blacktriangle oacute square auml varlrttriangle
egrave blacktriangledown oslash star
Table 381 stix Geometric Shapes
acwopencirclearrow ⧨ downtriangleleftblack smalltriangleleft
barovernorthwestarrow ⧩ downtrianglerightblack smalltriangleright
benzenr ⃝ enclosecircle smblkdiamond
bigblacktriangledown ⃟ enclosediamond smblklozenge
bigblacktriangleup ⃞ enclosesquare smblksquare
bigstar ⃤ enclosetriangle smwhitestar
bigtriangledown ⧳ errbarblackcircle smwhtcircle
⨞ bigtriangleleft ⧱ errbarblackdiamond ⋄ smwhtdiamond
bigtriangleup ⧯ errbarblacksquare smwhtlozenge
bigwhitestar ⧲ errbarcircle smwhtsquare
⧭ blackcircledownarrow ⧰ errbardiamond sqlozenge
blackcircledrightdot ⧮ errbarsquare squarebotblack
blackcircledtwodots fisheye squarecrossfill
blackcircleulquadwhite fltns squarehfill
⧪ blackdiamonddownarrow hexagon squarehvfill
blackinwhitediamond hexagonblack squareleftblack
blackinwhitesquare house squarellblack
blacklefthalfcircle hrectangle squarellquad
⧫ blacklozenge hrectangleblack squarelrblack
blackpointerleft inversewhitecircle squarelrquad
blackpointerright invwhitelowerhalfcircle squareneswfill
blackrighthalfcircle invwhiteupperhalfcircle squarenwsefill
(continued on next page)
137
(continued from previous page)
blacktriangle lgblkcircle squarerightblack
blacktriangledown lgblksquare squaretopblack
blacktriangleleft lgwhtcircle squareulblack
blacktriangleright lgwhtsquare squareulquad
blkhorzoval llblacktriangle squareurblack
blkvertoval ◺ lltriangle squareurquad
botsemicircle lrblacktriangle squarevfill
⧉ boxonbox ◿ lrtriangle squoval
bullseye mdblkcircle topsemicircle
circ mdblkdiamond trapezium
circlebottomhalfblack mdblklozenge trianglecdot
⦿ circledbullet ◼ mdblksquare triangledown
⧬ circledownarrow mdlgblkcircle triangleleftblack
circledrightdot mdlgblkdiamond ⧊ triangleodot
circledstar mdlgblksquare trianglerightblack
circledtwodots mdlgwhtdiamond ⧌ triangles
⦾ circledwhitebullet loz mdlgwhtlozenge ⧋ triangleubar
circlelefthalfblack mdlgwhtsquare ulblacktriangle
circlellquad ⦁ mdsmblkcircle ◸ ultriangle
circlelrquad ◾ mdsmblksquare ⦽ uparrowoncircle
circlerighthalfblack mdsmwhtcircle urblacktriangle
circletophalfblack ◽ mdsmwhtsquare ◹ urtriangle
circleulquad mdwhtcircle varhexagon
circleurquad mdwhtdiamond varhexagonblack
circleurquadblack mdwhtlozenge varhexagonlrbonds
circlevertfill ◻ mdwhtsquare ⊿ varlrtriangle
⧃ cirE medblackstar varstar
⧂ cirscir medwhitestar vrectangle
cwopencirclearrow parallelogram vrectangleblack
diamondbotblack parallelogramblack vysmblksquare
⟐ diamondcdot pentagon vysmwhtsquare
diamondleftblack pentagonblack ⟁ whiteinwhitetriangle
diamondrightblack rightpentagon whitepointerleft
diamondtopblack rightpentagonblack whitepointerright
dottedcircle smallblacktriangleleft whthorzoval
dottedsquare smallblacktriangleright whtvertoval
stix defines diamond as a synonym for smwhtdiamond blacksquare
as a synonym for mdlgblksquare square and Box as synonymsfor mdlgwhtsquare triangle and varbigtriangleup as synonymsfor bigtriangleup rhd as a synonym for vartrianglerightvarbigtriangledown as a synonym for bigtriangledown lhd as a syn-onym for vartriangleleft Diamond and lozenge as synonyms formglgwhtlozenge bigcirc as a synonym for mglgwhtcircle circ asa synonym for smwhtcircle and mdlgblklozenge as a synonym forblacklozenge
138
Table 382 ifsym Geometric Shapes
BigCircle T FilledBigTriangleRight E SmallCircle
13 BigCross Q FilledBigTriangleUp SmallCross
amp BigDiamondshape e FilledCircle F SmallDiamondshape
BigHBar FilledDiamondShadowA SmallHBar
_ BigLowerDiamond FilledDiamondShadowC SmallLowerDiamond
BigRightDiamond f FilledDiamondshape O SmallRightDiamond
BigSquare u FilledSmallCircle SmallSquare
BigTriangleDown v FilledSmallDiamondshape C SmallTriangleDown
BigTriangleLeft p FilledSmallSquare B SmallTriangleLeft
$ BigTriangleRight s FilledSmallTriangleDown D SmallTriangleRight
BigTriangleUp r FilledSmallTriangleLeft A SmallTriangleUp
BigVBar t FilledSmallTriangleRight SmallVBar
5 Circle q FilledSmallTriangleUp SpinDown
Cross ` FilledSquare ) SpinUp
DiamondShadowA FilledSquareShadowA 0 Square
DiamondShadowB FilledSquareShadowC SquareShadowA
DiamondShadowC c FilledTriangleDown SquareShadowB
6 Diamondshape b FilledTriangleLeft SquareShadowC
U FilledBigCircle d FilledTriangleRight 3 TriangleDown
V FilledBigDiamondshape a FilledTriangleUp 2 TriangleLeft
P FilledBigSquare HBar 4 TriangleRight
S FilledBigTriangleDown o LowerDiamond 1 TriangleUp
R FilledBigTriangleLeft RightDiamond VBar
The ifsym documentation points out that one can use rlap to combine
some of the above into useful new symbols For example BigCircle and
FilledSmallCircle combine to give ldquou rdquo Likewise Square and Cross
combine to give ldquo0rdquo See Section 103 for more information about constructing
new symbols out of existing symbols
Table 383 bbding Geometric Shapes
d CircleShadow u Rectangle j SquareShadowTopLeft
a CircleSolid v RectangleBold i SquareShadowTopRight
p DiamondSolid t RectangleThin g SquareSolid
b Ellipse f Square o TriangleDown
e EllipseShadow k SquareCastShadowBottomRight n TriangleUp
c EllipseSolid m SquareCastShadowTopLeft
s HalfCircleLeft l SquareCastShadowTopRight
r HalfCircleRight h SquareShadowBottomRight
139
Table 384 pifont Geometric Shapes
l ding108 o ding111 r ding114 u ding117 y ding121
m ding109 p ding112 s ding115 w ding119 z ding122
n ding110 q ding113 t ding116 x ding120
Table 385 universa Geometric Shapes
Δ baucircle Γ bausquare Θ bautriangle
Table 386 adfsymbols Geometric Shapes
a adfbullet27 f adfbullet32 q adfbullet43 v adfbullet48
b adfbullet28 g adfbullet33 r adfbullet44 w adfbullet49
c adfbullet29 h adfbullet34 s adfbullet45 x adfbullet50
d adfbullet30 o adfbullet41 t adfbullet46 y adfbullet51
e adfbullet31 p adfbullet42 u adfbullet47 z adfbullet52
Table 387 fontawesome Geometric Shapes
faCircle faCircleONotch C faDotCircleO faSquareO
+ faCircleO A faCircleThin faSquare
Table 388 LATEX 2120576 Playing-Card Suits
clubs clubsuit diamondsuit heartsuit spades spadesuit
Table 389 txfontspxfonts Playing-Card Suits
p varclubsuit q vardiamondsuit r varheartsuit s varspadesuit
Table 390 MnSymbol Playing-Card Suits
clubs clubsuit diamondsuit heartsuit spades spadesuit
Table 391 fdsymbol Playing-Card Suits
clubs clubsuit heartsuit diams vardiamondsuit
diamondsuit spades spadesuit hearts varheartsuit
Table 392 boisik Playing-Card Suits
ocirc clubsuit otilde diamondsuit ouml heartsuit divide spadesuit
140
Table 393 stix Playing-Card Suits
clubs clubsuit heartsuit varclubsuit hearts varheartsuit
diamondsuit spades spadesuit diams vardiamondsuit varspadesuit
Table 394 arev Playing-Card Suits
varclub diams vardiamond hearts varheart varspade
Table 395 adforn Flourishes
C adfclosedflourishleft c adfclosedflourishright
D adfdoubleflourishleft d adfdoubleflourishright
I adfdoublesharpflourishleft i adfdoublesharpflourishright
E adfflourishleft e adfflourishright
F adfflourishleftdouble f adfflourishrightdouble
B adfopenflourishleft b adfopenflourishright
H adfsharpflourishleft h adfsharpflourishright
J adfsickleflourishleft j adfsickleflourishright
G adfsingleflourishleft g adfsingleflourishright
K adftripleflourishleft k adftripleflourishright
A adfwavesleft a adfwavesright
Table 396 Miscellaneous dingbat Dingbats
O anchor E eye S SborderC carriagereturn C filledsquarewithdots B squarewithdots
D checkmark I satellitedish Z Zborder
Table 397 Miscellaneous bbding Dingbats
Envelope Peace PhoneHandset T SunshineOpenCircled
q OrnamentDiamondSolid Phone Plane Tape
Table 398 Miscellaneous pifont Dingbats
ding37 ( ding40 curren ding164 sect ding167 laquo ding171
amp ding38 ) ding41 yen ding165 uml ding168 copy ding169
ding39 v ding118 brvbar ding166 ordf ding170
Table 399 Miscellaneous adforn Dingbats
bull adfbullet = adfdiamond para adfgee sect adfS | adfsquare
141
6 Ancient languages
This section presents letters and ideograms from various ancient scripts Some of these symbols mayalso be useful in other typesetting contexts because of their pictorial nature
Table 400 phaistos Symbols from the Phaistos Disk
J PHarrow e PHeagle B PHplumedHead
h PHbee o PHflute d PHram
X PHbeehive H PHgaunlet l PHrosette
R PHboomerang p PHgrater P PHsaw
K PHbow G PHhelmet L PHshield
b PHbullLeg a PHhide Y PHship
D PHcaptive Z PHhorn V PHsling
S PHcarpentryPlane Q PHlid r PHsmallAxe
c PHcat m PHlily q PHstrainer
E PHchild N PHmanacles C PHtattooedHead
M PHclub O PHmattock I PHtiara
W PHcolumn n PHoxBack g PHtunny
U PHcomb k PHpapyrus j PHvine
T PHdolium A PHpedestrian s PHwavyBand
f PHdove i PHplaneTree F PHwoman
Table 401 protosem Proto-Semitic Characters
a Aaleph E AAhe k Akaph s Asamekh R AAresh
A AAaleph z Azayin K AAkaph p Ape S Ashin
b Abeth w Avav l Alamed P AApe v Ahelmet
B AAbeth H Aheth L AAlamed x Asade V AAhelmet
g Agimel h AAheth m Amem X AAsade t Atav
d Adaleth T Ateth n Anun q Aqoph
D AAdaleth y Ayod o Aayin Q AAqoph
e Ahe Y AAyod O AAayin r Aresh
The protosem package defines abbreviated control sequences for each of theabove In addition single-letter shortcuts can be used within the argu-ment to the textproto command (eg ldquotextprotoPakynrdquo producesldquoPakynrdquo) See the protosem documentation for more information
142
Table 402 hieroglf Hieroglyphics
A HA I HI n Hn T HT
a Ha i Hi O HO t Ht
B HB Π Hibl o Ho Φ Htongue
b Hb Θ Hibp p Hp U HU
c Hc Ξ Hibs P HP u Hu
C HC Λ Hibw Ω Hplural V HV
D HD J HJ + Hplus v Hv
d Hd j Hj Q HQ mdash Hvbar
ff Hdual k Hk q Hq w Hw
e He K HK Hquery W HW
E HE L HL R HR X HX
f Hf l Hl r Hr x Hx
F HF m Hm s Hs Y HY
G HG M HM S HS y Hy
g Hg ϒ Hman Ψ Hscribe z Hz
h Hh Δ Hms Hslash Z HZ
H HH N HN Σ Hsv
mdash Hone 3 Hhundred 5 HXthousand 7 Hmillion
2 Hten 4 Hthousand 6 HCthousand
The hieroglf package defines alternate control sequences and single-letter short-cuts for each of the above which can be used within the argument to the
textpmhg command (eg ldquotextpmhgPakinrdquo produces ldquoPakinrdquo)See the hieroglf documentation for more information
Table 403 linearA Linear A Script
LinearAI b LinearAXCIX LinearACXCVII t LinearACCXCV
LinearAII c LinearAC LinearACXCVIII u LinearACCXCVI
LinearAIII d LinearACI LinearACXCIX v LinearACCXCVII
LinearAIV e LinearACII LinearACC w LinearACCXCVIII
LinearAV f LinearACIII LinearACCI x LinearACCXCIX
LinearAVI g LinearACIV LinearACCII y LinearACCC
LinearAVII h LinearACV LinearACCIII z LinearACCCI
LinearAVIII i LinearACVI LinearACCIV LinearACCCII
LinearAIX j LinearACVII LinearACCV | LinearACCCIII
LinearAX k LinearACVIII LinearACCVI LinearACCCIV
LinearAXI l LinearACIX LinearACCVII ~ LinearACCCV
LinearAXII m LinearACX LinearACCVIII LinearACCCVI
LinearAXIII n LinearACXI LinearACCIX LinearACCCVII
(continued on next page)
143
(continued from previous page)
13 LinearAXIV o LinearACXII LinearACCX LinearACCCVIII
LinearAXV p LinearACXIII LinearACCXI LinearACCCIX
LinearAXVI q LinearACXIV LinearACCXII LinearACCCX
LinearAXVII r LinearACXV LinearACCXIII LinearACCCXI
LinearAXVIII s LinearACXVI LinearACCXIV LinearACCCXII
LinearAXIX t LinearACXVII $ LinearACCXV LinearACCCXIII
LinearAXX u LinearACXVIII LinearACCXVI LinearACCCXIV
LinearAXXI v LinearACXIX amp LinearACCXVII LinearACCCXV
LinearAXXII w LinearACXX LinearACCXVIII LinearACCCXVI
LinearAXXIII x LinearACXXI ( LinearACCXIX LinearACCCXVII
LinearAXXIV y LinearACXXII ) LinearACCXX LinearACCCXVIII
LinearAXXV z LinearACXXIII LinearACCXXI LinearACCCXIX
LinearAXXVI LinearACXXIV + LinearACCXXII LinearACCCXX
LinearAXXVII | LinearACXXV LinearACCXXIII LinearACCCXXI
LinearAXXVIII LinearACXXVI - LinearACCXXIV LinearACCCXXII
LinearAXXIX ~ LinearACXXVII LinearACCXXV LinearACCCXXIII
LinearAXXX LinearACXXVIII LinearACCXXVI LinearACCCXXIV
LinearAXXXI LinearACXXIX 0 LinearACCXXVII LinearACCCXXV
LinearAXXXII LinearACXXX 1 LinearACCXXVIII LinearACCCXXVI
LinearAXXXIII LinearACXXXI 2 LinearACCXXIX LinearACCCXXVII
LinearAXXXIV LinearACXXXII 3 LinearACCXXX LinearACCCXXVIII
LinearAXXXV LinearACXXXIII 4 LinearACCXXXI LinearACCCXXIX
LinearAXXXVI LinearACXXXIV 5 LinearACCXXXII LinearACCCXXX
$ LinearAXXXVII LinearACXXXV 6 LinearACCXXXIII LinearACCCXXXI
LinearAXXXVIII LinearACXXXVI 7 LinearACCXXXIV LinearACCCXXXII
amp LinearAXXXIX LinearACXXXVII 8 LinearACCXXXV LinearACCCXXXIII
LinearAXL LinearACXXXVIII 9 LinearACCXXXVI LinearACCCXXXIV
( LinearAXLI LinearACXXXIX LinearACCXXXVII LinearACCCXXXV
) LinearAXLII LinearACXL LinearACCXXXVIII LinearACCCXXXVI
LinearAXLIII LinearACXLI lt LinearACCXXXIX LinearACCCXXXVII
+ LinearAXLIV LinearACXLII = LinearACCXL LinearACCCXXXVIII
LinearAXLV LinearACXLIII gt LinearACCXLI LinearACCCXXXIX
- LinearAXLVI LinearACXLIV LinearACCXLII iexcl LinearACCCXL
LinearAXLVII LinearACXLV LinearACCXLIII cent LinearACCCXLI
LinearAXLVIII LinearACXLVI A LinearACCXLIV pound LinearACCCXLII
0 LinearAXLIX LinearACXLVII B LinearACCXLV curren LinearACCCXLIII
1 LinearAL LinearACXLVIII C LinearACCXLVI yen LinearACCCXLIV
2 LinearALI LinearACXLIX D LinearACCXLVII brvbar LinearACCCXLV
3 LinearALII LinearACL E LinearACCXLVIII sect LinearACCCXLVI
4 LinearALIII LinearACLI F LinearACCXLIX uml LinearACCCXLVII
5 LinearALIV LinearACLII G LinearACCL copy LinearACCCXLVIII
6 LinearALV LinearACLIII H LinearACCLI ordf LinearACCCXLIX
7 LinearALVI LinearACLIV I LinearACCLII laquo LinearACCCL
8 LinearALVII LinearACLV J LinearACCLIII not LinearACCCLI
9 LinearALVIII LinearACLVI K LinearACCLIV shy LinearACCCLII
LinearALIX LinearACLVII L LinearACCLV reg LinearACCCLIII
LinearALX LinearACLVIII M LinearACCLVI macr LinearACCCLIV
lt LinearALXI LinearACLIX N LinearACCLVII deg LinearACCCLV
= LinearALXII LinearACLX O LinearACCLVIII plusmn LinearACCCLVI
gt LinearALXIII LinearACLXI P LinearACCLIX sup2 LinearACCCLVII
LinearALXIV iexcl LinearACLXII Q LinearACCLX sup3 LinearACCCLVIII
LinearALXV cent LinearACLXIII R LinearACCLXI acute LinearACCCLIX
A LinearALXVI pound LinearACLXIV S LinearACCLXII micro LinearACCCLX
(continued on next page)
144
(continued from previous page)
B LinearALXVII curren LinearACLXV T LinearACCLXIII para LinearACCCLXI
C LinearALXVIII yen LinearACLXVI U LinearACCLXIV middot LinearACCCLXII
D LinearALXIX brvbar LinearACLXVII V LinearACCLXV cedil LinearACCCLXIII
E LinearALXX sect LinearACLXVIII W LinearACCLXVI sup1 LinearACCCLXIV
F LinearALXXI uml LinearACLXIX X LinearACCLXVII ordm LinearACCCLXV
G LinearALXXII copy LinearACLXX Y LinearACCLXVIII raquo LinearACCCLXVI
H LinearALXXIII ordf LinearACLXXI Z LinearACCLXIX frac14 LinearACCCLXVII
I LinearALXXIV laquo LinearACLXXII [ LinearACCLXX frac12 LinearACCCLXVIII
J LinearALXXV not LinearACLXXIII LinearACCLXXI frac34 LinearACCCLXIX
K LinearALXXVI shy LinearACLXXIV ] LinearACCLXXII iquest LinearACCCLXX
L LinearALXXVII reg LinearACLXXV ^ LinearACCLXXIII Agrave LinearACCCLXXI
M LinearALXXVIII macr LinearACLXXVI _ LinearACCLXXIV Aacute LinearACCCLXXII
N LinearALXXIX deg LinearACLXXVII ` LinearACCLXXV Acirc LinearACCCLXXIII
O LinearALXXX plusmn LinearACLXXVIII a LinearACCLXXVI Atilde LinearACCCLXXIV
P LinearALXXXI LinearACLXXIX b LinearACCLXXVII Auml LinearACCCLXXV
Q LinearALXXXII LinearACLXXX c LinearACCLXXVIII Aring LinearACCCLXXVI
R LinearALXXXIII LinearACLXXXI d LinearACCLXXIX AElig LinearACCCLXXVII
S LinearALXXXIV LinearACLXXXII e LinearACCLXXX Ccedil LinearACCCLXXVIII
T LinearALXXXV LinearACLXXXIII f LinearACCLXXXI Egrave LinearACCCLXXIX
U LinearALXXXVI LinearACLXXXIV g LinearACCLXXXII Eacute LinearACCCLXXX
V LinearALXXXVII LinearACLXXXV h LinearACCLXXXIII Ecirc LinearACCCLXXXI
W LinearALXXXVIII LinearACLXXXVI i LinearACCLXXXIV Euml LinearACCCLXXXII
X LinearALXXXIX LinearACLXXXVII j LinearACCLXXXV Igrave LinearACCCLXXXIII
Y LinearALXXXX LinearACLXXXVIII k LinearACCLXXXVI Iacute LinearACCCLXXXIV
Z LinearAXCI LinearACLXXXIX l LinearACCLXXXVII Icirc LinearACCCLXXXV
[ LinearAXCII LinearACLXXXX m LinearACCLXXXVIII Iuml LinearACCCLXXXVI
LinearAXCIII LinearACXCI n LinearACCLXXXIX ETH LinearACCCLXXXVII
] LinearAXCIV 13 LinearACXCII o LinearACCLXXXX Ntilde LinearACCCLXXXVIII
^ LinearAXCV LinearACXCIII p LinearACCXCI Ograve LinearACCCLXXXIX
_ LinearAXCVI LinearACXCIV q LinearACCXCII
` LinearAXCVII LinearACXCV r LinearACCXCIII
a LinearAXCVIII LinearACXCVI s LinearACCXCIV
145
Table 404 linearb Linear B Basic and Optional Letters
a Ba j Bja B Bmu ] Bpte lsquo Broii 4 Bto
Baii J Bje n Bna I Bpu V Bru 5 Btu
lt Baiii b Bjo N Bne Bpuii s Bsa ~ Btwo
= Bau L Bju C Bni q Bqa S Bse u Bu
d Bda k Bka E Bno Q Bqe Y Bsi w Bwa
D Bde K Bke F Bnu X Bqi 1 Bso W Bwe
f Bdi c Bki Bnwa 8 Bqo 2 Bsu 6 Bwi
g Bdo h Bko o Bo r Bra Bswa 7 Bwo
x Bdu v Bku p Bpa ^ Braii | Bswi z Bza
gt Bdwe m Bma [ Bpaiii _ Braiii t Bta Z Bze
Bdwo M Bme P Bpe R Bre Btaii 9 Bzo
e Be y Bmi G Bpi O Bri T Bte
i Bi A Bmo H Bpo U Bro 3 Bti
These symbols must appear either within the argument to textlinb orfollowing the linbfamily font-selection command within a scope Single-character shortcuts are also supported Both ldquotextlinbBpaBkiBnardquo
and ldquotextlinbpcnrdquo produce ldquopcnrdquo for example See the linearb docu-mentation for more information
Table 405 linearb Linear B Numerals
acute BNi ˇ BNvii sbquo BNxl laquo BNc ı BNdcc
ˆ BNii ˘ BNviii lsaquo BNl raquo BNcc ȷ BNdccc
˜ BNiii macr BNix rsaquo BNlx ndash BNccc ff BNcm
uml BNiv ˙ BNx ldquo BNlxx mdash BNcd fi BNm
˝ BNv cedil BNxx rdquo BNlxxx zwnj BNd
˚ BNvi ˛ BNxxx bdquo BNxc permil BNdc
These symbols must appear either within the argument to textlinb or fol-lowing the linbfamily font-selection command within a scope
Table 406 linearb Linear B Weights and Measures
Ď BPtalent Ľ BPvolb Ń BPvolcf Ą BPwtb Č BPwtd
Ĺ BPvola Ł BPvolcd Ă BPwta Ć BPwtc
These symbols must appear either within the argument to textlinb or fol-lowing the linbfamily font-selection command within a scope
146
Table 407 linearb Linear B Ideograms
Ž BPamphora ź BPchassis ă BPman Š BPwheat
ij BParrow Ř BPcloth ț BPnanny ž BPwheel
Ş BPbarley ŋ BPcow Ț BPolive Ť BPwine
ť BPbilly Ÿ BPcup ń BPox Ż BPwineiih
ľ BPboar š BPewe ĺ BPpig IJ BPwineiiih
Ű BPbronze ě BPfoal ś BPram İ BPwineivh
ň BPbull ş BPgoat ř BPsheep ą BPwoman
đ BPcauldroni Ź BPgoblet ł BPsow Ś BPwool
sect BPcauldronii Ů BPgold iexcl BPspear
yuml BPchariot ď BPhorse ż BPsword
These symbols must appear either within the argument to textlinb or fol-lowing the linbfamily font-selection command within a scope
Table 408 linearb Unidentified Linear B Symbols
fl BUi BUiv BUvii amp BUx shy Btwe
ffi BUii BUv $ BUviii rsquo BUxi
ffl BUiii BUvi BUix shy BUxii
These symbols must appear either within the argument to textlinb or fol-lowing the linbfamily font-selection command within a scope
Table 409 cypriot Cypriot Letters
a Ca v Cku B Cmu H Cpo 1 Cso 6 Cwi
e Ce l Cla n Cna I Cpu 2 Csu 7 Cwo
g Cga L Cle N Cne r Cra t Cta x Cxa
i Ci d Cli C Cni R Cre T Cte X Cxe
j Cja f Clo E Cno O Cri 3 Cti j Cya
b Cjo q Clu F Cnu U Cro 4 Cto b Cyo
k Cka m Cma o Co V Cru 5 Ctu g Cza
K Cke M Cme p Cpa s Csa u Cu 9 Czo
c Cki y Cmi P Cpe S Cse w Cwa
h Cko A Cmo G Cpi Y Csi W Cwe
These symbols must appear either within the argument to textcypr orfollowing the cyprfamily font-selection command within a scope Single-character shortcuts are also supported Both ldquotextcyprCpaCkiCnardquo
and ldquotextcyprpcnrdquo produce ldquopcnrdquo for example See the cypriot docu-mentation for more information
147
Table 410 sarabian South Arabian Letters
a SAa z SAz m SAm x SAsd D SAdb
b SAb H SAhd n SAn q SAq J SAtb
g SAg T SAtd s SAs r SAr G SAga
d SAd y SAy f SAf S SAsv Z SAzd
h SAh k SAk lsquo SAlq t SAt X SAsa
w SAw l SAl o SAo I SAhu B SAdd
These symbols must appear either within the argument to textsarab orfollowing the sarabfamily font-selection command within a scope Single-character shortcuts are also supported Both ldquotextsarabSAbSAkSAnrdquoand ldquotextsarabbknrdquo produce ldquobknrdquo for example See the sarabian docu-mentation for more information
Table 411 teubner Archaic Greek Letters and Greek Numerals
Ϙ Coppadagger Ϝ Digamma ϡ sampi ϛ varstigma
ϙ coppadagger ϟ koppa Ϛ Stigma
ϝ digammaDagger Ϡ Sampi ϛ stigma
Technically these symbols do not require teubner it is sufficient to load thebabel package with the greek option (upon which teubner depends)mdashbut useqoppa for koppa and ddigamma for digamma
dagger For compatibility with other naming conventions teubner defines Koppa as asynonym for Coppa and varcoppa as a synonym for coppa
Dagger If both teubner and amssymb are loaded teubnerrsquos digamma replaces amssymbrsquosdigamma regardless of package-loading order
Table 412 boisik Archaic Greek Letters and Greek Numerals
Digamma qoppa - stigma varsampi
digamma ] Qoppa Stigma
( heta ^ Sampi ) vardigamma
[ Heta + sampi _ Varsampi
Table 413 epiolmec Epi-Olmec Script
sect EOafter Ě EOMiddle ź EOStarWarrior
Ş EOandThen ő EOmonster ű EOstep
Ť EOAppear ě EOMountain M EOSu
t EOBeardMask EOmuu S EOsu
ą EOBedeck b EOna ž EOsun
(continued on next page)
148
(continued from previous page)
u EOBlood lsquo EOne Q EOsuu
ć EObrace ^ EOni K EOSuu
AElig EObuilding š EOnow EOta
v EOBundle c EOnu 8 EOte
w EOChop a EOnuu ż EOthrone
Ř EOChronI EOofficerI 7 EOti
x EOCloth | EOofficerII IJ EOtime
r EODealWith EOofficerIII ij EOTime
Ţ EODeer ~ EOofficerIV pound EOTitle
Ű EOeat 3 EOpa Ŋ EOTitleII
đ EOflint n EOpak ş EOTitleIV
č EOflower Ś EOPatron lt EOto
Auml EOFold Ů EOPatronII EOtu
ď EOGod 1 EOpe Ő EOtuki
Acirc EOGoUp ť EOpenis İ EOtukpa
ę EOgovernor 0 EOpi Agrave EOturtle
z EOGuise Ÿ EOPierce 9 EOtuu
iexcl EOHallow Ę EOPlant EOtza
V EOja Ğ EOPlay gt EOtze
ĺ EOjaguar 6 EOpo Ŕ EOtzetze
U EOje ţ EOpriest = EOtzi
T EOji Ĺ EOPrince B EOtzu
- EOJI 5 EOpu EOtzuu
Y EOjo 2 EOpuu EOundef
X EOju o EOpuuk ă EOvarBeardMask
m EOkak Auml EORain W EOvarja
D EOke L EOSa EOvarji
C EOki R EOsa EOvarki
Ź EOkij Aring EOsacrifice F EOvarkuu
Ă EOKing y EOSaw _ EOvarni
ł EOknottedCloth q EOScorpius 4 EOvarpa
(continued on next page)
149
(continued from previous page)
ń EOknottedClothStraps Acirc EOset J EOvarSi
H EOko O EOsi P EOvarsi
G EOku I EOSi A EOvartza
E EOkuu ů EOsing g EOvarwuu
Atilde EOLetBlood ľ EOSini Atilde EOvarYear
Ą EOloinCloth yuml EOskin h EOwa
Ć EOlongLipII Ľ EOSky e EOwe
ň EOLord ś EOskyAnimal d EOwi
Č EOLose Ł EOskyPillar i EOwo
] EOma Ż EOsnake f EOwuu
ŋ EOmacaw N EOSo l EOya
ŕ EOmacawI EOSpan p EOyaj
[ EOme Ń EOSprinkle j EOye
Ď EOmexNew Ž EOstar s EOYear
Z EOmi Ň EOstarWarrior k EOyuu
Table 414 epiolmec Epi-Olmec Numerals
EOzero ˝ EOvi cedil EOxii rdquo EOxviii
EOi ˚ EOvii ˛ EOxiii bdquo EOxix
EOii ˇ EOviii sbquo EOxiv laquo EOxx
EOiii ˘ EOix lsaquo EOxv
EOiv macr EOx rsaquo EOxvi
uml EOv ˙ EOxi ldquo EOxvii
150
Table 415 allrunes Runes
aacute a E E İ ING m m R R Oacute sthree
ą A F F ţ ing n n z RR T T
a a f f iexcl Ing Ŋ NG Atilde s t t
A A g g ł j ŋ ng s s Auml textsection
b b egrave h j j o o S S thorn th
B B H H J J ă p ocirc seight U U
ď d h h ń k p p oacute sfive u u
D D Aacute i Č K P P atilde sfour w w
d d i i k k Ž R auml sseven
e e I I l l r r Ocirc ssix
The symbols in this table should appear within the argument to textarc
(for common Germanic runes) textara (for Anglo-Frisian runes) textarn(for normal runes) textart (for short-twig runes) textarl (for stavelessrunes) textarm (for medieval runes) or within a scope that sets respec-tively arcfamily arafamily arnfamily artfamily arlfamily orarmfamily Each family presents slightly different glyphs andor slightly dif-ferent subsets of the available runes (The table presents the common Germanicrunes) See the allrunes documentation for more information
Table 416 allrunes Rune Separators
bar doubleeye + plus tripledot
cross doubleplus lt quaddot gt tripleeye
dot doublestar quadeye - tripleplus
doublebar eye $ star
doublecross = pentdot triplebar
doubledot penteye amp triplecross
See the usage comment under Table 415
151
7 Musical symbols
The following symbols are used to typeset musical notation The lilylyp s package provides a large
subset of the symbols in this section Note however that lilylyp s depends upon the fontspec packageOpenType (otf) fonts and some PDF graphics and therefore works only with LuaLATEX or X ELATEX
Table 417 LATEX 2120576 Musical Symbols
flat natural ♯ sharp
Table 418 textcomp Musical Symbols
textmusicalnote
Table 419 wasysym Musical Symbols
eighthnote 13 halfnote twonotes fullnote quarternote
Table 420 MnSymbol Musical Symbols
flat natural ♯ sharp
Table 421 fdsymbol Musical Symbols
flat natural ♯ sharp
Table 422 boisik Musical Symbols
ugrave flat uacute natural ucirc sharp
Table 423 stix Musical Symbols
eighthnote natural ♯ sharp
flat quarternote twonotes
Table 424 arev Musical Symbols
quarternote eighthnote sixteenthnote
152
Table 425 MusiXTEX Musical Symbols
R allabreveffl
lsf W shake
K altoclefndash
lsfz X Shake
C backturn $ maxima j Shakel
I bassclef 9 meterplus m Shakene
O caesura Y mordent k Shakenw
U coda w Mordent l Shakesw
i Coda PAUSe L smallaltoclef
Dep PAuse J smallbassclef
y doublethumb = pause H smalltrebleclef
mdash downbow Ped sPed
ds gt qp G trebleclef
N duevolte B qqs E trillQfermatadown qs D turn
P fermataup reverseallabreve upbow
x flageolett T reverseC ffi usf
lt hpause h sDep raquo usfz
A hs n Segno 8 wq
rsquo longa V segno shy wqq
All of these symbols are intended to be used in the context of typesettingmusical scores See the MusiXTEX documentation for more information
153
Table 426 MusiXTEX Alternative Clefs
M drumclef z gregorianFclef
b gregorianCclef g oldGclef
In addition to MusiXTEX drumclef requires the musixper packageoldGclef requires the musixlit package and both gregorianCclef andgregorianFclef require the musixgre package Together with MusiXTEXthese packages provide a complete system for typesetting percussion notation(musixper) liturgical music (musixlit) and Gregorian chants (musixgre includ-ing the staffs and all of the necessary neumes See the MusiXTEX documenta-tion for more information
Table 427 harmony Musical Symbols
ˇ ldquo ˇ ldquo== AAcht DD DDohne ˘ ldquo Halb ˇ ldquo==== SechBR gt VM
ˇ ldquo( Acht D Dohne lt HaPa ˇ ldquo=== SechBr ˇ ldquo Zwdr
ˇ ldquo== AchtBL ss Ds permil Pu SePa A ZwPa
ˇ ldquo== AchtBR SS DS ˇ ldquo) Sech lt UB
AcPa macr Ganz ˇ ldquo==== SechBL ˇ ldquo Vier
DD lt GaPa ˇ ldquo=== SechBl gt ViPa
The MusiXTEX package must be installed to use harmony
Table 428 harmony Musical Accents
Aaaa
FerliAFerlia A a OhneAOhnea
Aaaa
FermiAFermia Aa UmdAUmda
Alal KrAKra
These symbols take an optional argument which shifts the accent either hori-zontally or vertically (depending on the command) by the given distance
In addition to the accents shown above HH is a special accent commandthat accepts five period-separated characters and typesets them such that
ldquoHHXabcdrdquo produces ldquoXa
bcdrdquo All arguments except the first can be omit-
ted ldquoHHXrdquo produces ldquoXrdquo Takt takes two arguments and composesthem into a musical time signature For example ldquoTakt128rdquo producesldquo 812rdquo As two special cases ldquoTaktc0rdquo produces ldquoSrdquo and ldquoTaktc1rdquo
produces ldquoRrdquo
The MusiXTEX package must be installed to use harmony
154
Table 429 lilylyp s Single Notes
eighthNote
uquarterNoteDottedDown
eighthNoteDottedC
quarterNoteDown eighthNoteDottedDouble
copy sixteenthNote
eighthNoteDottedDoubleDowncopy sixteenthNoteDotted
eighthNoteDottedDowncopy sixteenthNoteDottedDouble
eighthNoteDown
sixteenthNoteDottedDoubleDown halfNote
sixteenthNoteDottedDown
u halfNoteDotted
sixteenthNoteDown
uu halfNoteDottedDouble Z
thirtysecondNoteuu
halfNoteDottedDoubleDown Z
thirtysecondNoteDottedu
halfNoteDottedDown Z
thirtysecondNoteDottedDouble
halfNoteDownZ thirtysecondNoteDottedDoubleDown
C quarterNoteZ thirtysecondNoteDottedDown
u quarterNoteDottedZ thirtysecondNoteDown
uu quarterNoteDottedDouble wholeNoteuu
quarterNoteDottedDoubleDown wholeNoteDotted
lilylyp s defines synonyms for all of the preceding symbols
C crotchetu
minimDottedDownu crotchetDotted
minimDown
uu crotchetDottedDouble quaver
uucrotchetDottedDoubleDown
quaverDotted
ucrotchetDottedDown
quaverDottedDouble
CcrotchetDown
quaverDottedDoubleDown
Z
demisemiquaver
quaverDottedDown
Z
demisemiquaverDotted
quaverDown
Z
demisemiquaverDottedDouble semibreveZ demisemiquaverDottedDoubleDown semibreveDottedZ demisemiquaverDottedDown
copy semiquaverZ
demisemiquaverDowncopy semiquaverDotted
minimcopy semiquaverDottedDouble
u minimDotted
semiquaverDottedDoubleDownuu minimDottedDouble
semiquaverDottedDown
uuminimDottedDoubleDown
semiquaverDown
Table 430 lilylyp s Beamed Notes
C C twoBeamedQuavers ZZZ threeBeamedQuaversII
ZZZ threeBeamedQuavers ZZZ threeBeamedQuaversIII
ZZZ threeBeamedQuaversI
155
Table 431 lilylyp s Clefs
clefC clefF clefG
Each of these symbols provides a smaller ldquoinlinerdquo form (clefCInlineclefFInline and clefGInline respectively) intended for use within a
paragraph See the lilylyp s documentation for more information
Table 432 lilylyp s Time Signatures
lilyTimeC lilyTimeCHalf
lilylyp s also provides a lilyTimeSignature command that lets a user type-set single and compound time signatures by specifying a numerator and a
denominator See the lilylyp s documentation for more information
Table 433 lilylyp s Accidentals
doublesharp sharpArrowdown
flat sharpArrowup
flatflat sharpSlashslashslashStem
natural sharpSlashslashslashStemstem
sharp sharpSlashslashStem
sharpArrowboth sharpSlashslashStemstemstem
Table 434 lilylyp s Rests
crotchetRest quaverRestDotted
crotchetRestDotted semiquaverRest
halfNoteRest semiquaverRestDotted
halfNoteRestDotted wholeNoteRest
quaverRest wholeNoteRestDotted
Multiply dotted rests can be produced with the lilyPrintMoreDots com-
mand See the lilylyp s documentation for more information
156
Table 435 lilylyp s Dynamics Letters
lilyDynamicsf lilyDynamicsr
lilyDynamicsp lilyDynamicss
lilyDynamicsm lilyDynamicsz
lilyRF lilyRFZ
These letters and the digits 0ndash9 are the only alphanumerics defined by
lilylyp s rsquos underlying Emmentaler fonts
Table 436 lilylyp s Dynamics Symbols
crescHairpin decrescHairpin
Table 437 lilylyp s Articulations
lilyAccent marcato staccatissimo
lilyEspressivo marcatoDown tenuto
lilyStaccato portato
lilyThumb portatoDown
Table 438 lilylyp s Scripts
fermata
Table 439 lilylyp s Accordion Notation
accordionBayanBass accordionOldEE accordionStdBass
accordionDiscant accordionPull
accordionFreeBass accordionPush
157
Table 440 lilylyp s Named Time Signatures
lilyGlyphtimesigC22 lilyGlyphtimesigmensural98
lilyGlyphtimesigC44 lilyGlyphtimesigneomensural22
lilyGlyphtimesigmensural22 lilyGlyphtimesigneomensural24
lilyGlyphtimesigmensural24 lilyGlyphtimesigneomensural32
lilyGlyphtimesigmensural32 lilyGlyphtimesigneomensural34
lilyGlyphtimesigmensural34 lilyGlyphtimesigneomensural44
lilyGlyphtimesigmensural44 lilyGlyphtimesigneomensural48
lilyGlyphtimesigmensural48 lilyGlyphtimesigneomensural64
lilyGlyphtimesigmensural64 lilyGlyphtimesigneomensural68
lilyGlyphtimesigmensural68 lilyGlyphtimesigneomensural68alt
lilyGlyphtimesigmensural68alt lilyGlyphtimesigneomensural94
lilyGlyphtimesigmensural94 lilyGlyphtimesigneomensural98
lilylyp s defines shorter names for a few of these symbols See Table 432
Table 441 lilylyp s Named Scripts
lilyGlyphscriptsarpeggio lilyGlyphscriptsprallmordent
lilyGlyphscriptsarpeggioarrow1 lilyGlyphscriptsprallprall
lilyGlyphscriptsarpeggioarrowM1 lilyGlyphscriptsprallup
lilyGlyphscriptsaugmentum lilyGlyphscriptsrcomma
lilyGlyphscriptsbarlinekievan lilyGlyphscriptsreverseturn
lilyGlyphscriptscaesuracurved lilyGlyphscriptsrvarcomma
lilyGlyphscriptscaesurastraight lilyGlyphscriptssegno
lilyGlyphscriptscirculus lilyGlyphscriptssforzato
lilyGlyphscriptscoda lilyGlyphscriptssnappizzicato
lilyGlyphscriptsdaccentus lilyGlyphscriptsstaccato
lilyGlyphscriptsdfermata lilyGlyphscriptsstopped
lilyGlyphscriptsdlongfermata lilyGlyphscriptstenuto
lilyGlyphscriptsdmarcato lilyGlyphscriptsthumb
lilyGlyphscriptsdownbow lilyGlyphscriptstickmark
lilyGlyphscriptsdownmordent lilyGlyphscriptstrilelement
lilyGlyphscriptsdownprall lilyGlyphscriptstrill
lilyGlyphscriptsdpedalheel lilyGlyphscriptstrill_element
lilyGlyphscriptsdpedaltoe lilyGlyphscriptsturn
lilyGlyphscriptsdportato lilyGlyphscriptsuaccentus
lilyGlyphscriptsdsemicirculus lilyGlyphscriptsufermata
lilyGlyphscriptsdshortfermata lilyGlyphscriptsulongfermata
lilyGlyphscriptsdsignumcongruentiae lilyGlyphscriptsumarcato
lilyGlyphscriptsdstaccatissimo lilyGlyphscriptsupbow
lilyGlyphscriptsdverylongfermata lilyGlyphscriptsupedalheel
lilyGlyphscriptsespr lilyGlyphscriptsupedaltoe
lilyGlyphscriptsflageolet lilyGlyphscriptsupmordent
lilyGlyphscriptshalfopen lilyGlyphscriptsuportato
lilyGlyphscriptshalfopenvertical lilyGlyphscriptsupprall
lilyGlyphscriptsictus lilyGlyphscriptsusemicirculus
lilyGlyphscriptslcomma lilyGlyphscriptsushortfermata
(continued on next page)
158
(continued from previous page)
lilyGlyphscriptslineprall lilyGlyphscriptsusignumcongruentiae
lilyGlyphscriptslvarcomma lilyGlyphscriptsustaccatissimo
lilyGlyphscriptsmordent lilyGlyphscriptsuverylongfermata
lilyGlyphscriptsopen lilyGlyphscriptsvarcoda
lilyGlyphscriptsprall lilyGlyphscriptsvarsegno
lilyGlyphscriptspralldown
lilylyp s defines fermata as a shorter name for ldquo rdquo thanlilyGlyphscriptsufermata See Table 438
Table 442 lilylyp s Named Rests
lilyGlyphrests0 lilyGlyphrests4mensural
lilyGlyphrests0mensural lilyGlyphrests4neomensural
lilyGlyphrests0neomensural lilyGlyphrests5
lilyGlyphrests0o lilyGlyphrests6
lilyGlyphrests1 lilyGlyphrests7
lilyGlyphrests1mensural lilyGlyphrestsM1
lilyGlyphrests1neomensural lilyGlyphrestsM1mensural
lilyGlyphrests1o lilyGlyphrestsM1neomensural
lilyGlyphrests2 lilyGlyphrestsM1o
lilyGlyphrests2classical lilyGlyphrestsM2
lilyGlyphrests2mensural lilyGlyphrestsM2mensural
lilyGlyphrests2neomensural lilyGlyphrestsM2neomensural
lilyGlyphrests3 lilyGlyphrestsM3
lilyGlyphrests3mensural lilyGlyphrestsM3mensural
lilyGlyphrests3neomensural lilyGlyphrestsM3neomensural
lilyGlyphrests4
lilylyp s defines shorter names for a few of these symbols See Table 434
Table 443 lilylyp s Named Pedals
lilyGlyphpedal lilyGlyphpedalM
lilyGlyphpedal lilyGlyphpedalP
lilyGlyphpedald lilyGlyphpedalPed
lilyGlyphpedale
159
Table 444 lilylyp s Named Flags
lilyGlyphflagsd3 lilyGlyphflagsmensuralu03
lilyGlyphflagsd4 lilyGlyphflagsmensuralu04
lilyGlyphflagsd5 lilyGlyphflagsmensuralu05
lilyGlyphflagsd6 lilyGlyphflagsmensuralu06
lilyGlyphflagsd7 lilyGlyphflagsmensuralu13
lilyGlyphflagsdgrace lilyGlyphflagsmensuralu14
lilyGlyphflagsmensurald03 lilyGlyphflagsmensuralu15
lilyGlyphflagsmensurald04 lilyGlyphflagsmensuralu16
lilyGlyphflagsmensurald05 lilyGlyphflagsmensuralu23
lilyGlyphflagsmensurald06 lilyGlyphflagsmensuralu24
lilyGlyphflagsmensurald13 lilyGlyphflagsmensuralu25
lilyGlyphflagsmensurald14 lilyGlyphflagsmensuralu26
lilyGlyphflagsmensurald15 lilyGlyphflagsu3
lilyGlyphflagsmensurald16 lilyGlyphflagsu4
lilyGlyphflagsmensurald23 lilyGlyphflagsu5
lilyGlyphflagsmensurald24 lilyGlyphflagsu6
lilyGlyphflagsmensurald25 lilyGlyphflagsu7
lilyGlyphflagsmensurald26 lilyGlyphflagsugrace
Table 445 lilylyp s Named Custodes
lilyGlyphcustodeshufnageld0 lilyGlyphcustodesmensurald0
lilyGlyphcustodeshufnageld1 lilyGlyphcustodesmensurald1
lilyGlyphcustodeshufnageld2 lilyGlyphcustodesmensurald2
lilyGlyphcustodeshufnagelu0 lilyGlyphcustodesmensuralu0
lilyGlyphcustodeshufnagelu1 lilyGlyphcustodesmensuralu1
lilyGlyphcustodeshufnagelu2 lilyGlyphcustodesmensuralu2
lilyGlyphcustodesmedicaead0 lilyGlyphcustodesvaticanad0
lilyGlyphcustodesmedicaead1 lilyGlyphcustodesvaticanad1
lilyGlyphcustodesmedicaead2 lilyGlyphcustodesvaticanad2
lilyGlyphcustodesmedicaeau0 lilyGlyphcustodesvaticanau0
lilyGlyphcustodesmedicaeau1 lilyGlyphcustodesvaticanau1
lilyGlyphcustodesmedicaeau2 lilyGlyphcustodesvaticanau2
160
Table 446 lilylyp s Named Clefs
lilyGlyphclefsblackmensuralc lilyGlyphclefsmensuralg_change
lilyGlyphclefsblackmensuralc_change lilyGlyphclefsneomensuralc
lilyGlyphclefsC lilyGlyphclefsneomensuralc_change
lilyGlyphclefsC_change lilyGlyphclefspercussion
lilyGlyphclefsF lilyGlyphclefspercussion_change
lilyGlyphclefsF_change lilyGlyphclefspetruccic1
lilyGlyphclefsG lilyGlyphclefspetruccic1_change
lilyGlyphclefsG_change lilyGlyphclefspetruccic2
lilyGlyphclefshufnageldo lilyGlyphclefspetruccic2_change
lilyGlyphclefshufnageldofa lilyGlyphclefspetruccic3
lilyGlyphclefshufnageldofa_change lilyGlyphclefspetruccic3_change
lilyGlyphclefshufnageldo_change lilyGlyphclefspetruccic4
lilyGlyphclefshufnagelfa lilyGlyphclefspetruccic4_change
lilyGlyphclefshufnagelfa_change lilyGlyphclefspetruccic5
lilyGlyphclefskievando lilyGlyphclefspetruccic5_change
lilyGlyphclefskievando_change lilyGlyphclefspetruccif
lilyGlyphclefsmedicaeado lilyGlyphclefspetruccif_change
lilyGlyphclefsmedicaeado_change lilyGlyphclefspetruccig
lilyGlyphclefsmedicaeafa lilyGlyphclefspetruccig_change
lilyGlyphclefsmedicaeafa_change lilyGlyphclefstab
lilyGlyphclefsmensuralc lilyGlyphclefstab_change
lilyGlyphclefsmensuralc_change lilyGlyphclefsvaticanado
lilyGlyphclefsmensuralf lilyGlyphclefsvaticanado_change
lilyGlyphclefsmensuralf_change lilyGlyphclefsvaticanafa
lilyGlyphclefsmensuralg lilyGlyphclefsvaticanafa_change
lilylyp s defines shorter names for a few of these symbols See Table 431
161
Table 447 lilylyp s Named Noteheads
lilyGlyphnoteheadsd0doFunk
lilyGlyphnoteheadsd0fa
lilyGlyphnoteheadsd0faFunk
lilyGlyphnoteheadsd0faThin
lilyGlyphnoteheadsd0miFunk
lilyGlyphnoteheadsd0reFunk
lilyGlyphnoteheadsd0tiFunk
lilyGlyphnoteheadsd1do
lilyGlyphnoteheadsd1doFunk
lilyGlyphnoteheadsd1doThin
lilyGlyphnoteheadsd1doWalker
lilyGlyphnoteheadsd1fa
lilyGlyphnoteheadsd1faFunk
lilyGlyphnoteheadsd1faThin
lilyGlyphnoteheadsd1faWalker
lilyGlyphnoteheadsd1miFunk
lilyGlyphnoteheadsd1re
lilyGlyphnoteheadsd1reFunk
lilyGlyphnoteheadsd1reThin
lilyGlyphnoteheadsd1reWalker
lilyGlyphnoteheadsd1ti
lilyGlyphnoteheadsd1tiFunk
lilyGlyphnoteheadsd1tiThin
lilyGlyphnoteheadsd1tiWalker
lilyGlyphnoteheadsd1triangle
lilyGlyphnoteheadsd2do
lilyGlyphnoteheadsd2doFunk
lilyGlyphnoteheadsd2doThin
lilyGlyphnoteheadsd2doWalker
lilyGlyphnoteheadsd2fa
lilyGlyphnoteheadsd2faFunk
lilyGlyphnoteheadsd2faThin
lilyGlyphnoteheadsd2faWalker
lilyGlyphnoteheadsd2kievan
lilyGlyphnoteheadsd2re
lilyGlyphnoteheadsd2reFunk
lilyGlyphnoteheadsd2reThin
lilyGlyphnoteheadsd2reWalker
lilyGlyphnoteheadsd2ti
lilyGlyphnoteheadsd2tiFunk
lilyGlyphnoteheadsd2tiThin
lilyGlyphnoteheadsd2tiWalker
lilyGlyphnoteheadsd2triangle
lilyGlyphnoteheadsd3kievan
lilyGlyphnoteheadsdM2
lilyGlyphnoteheadsdM2blackmensural
lilyGlyphnoteheadsdM2mensural
lilyGlyphnoteheadsdM2neomensural
lilyGlyphnoteheadsdM2semimensural
lilyGlyphnoteheadsdM3blackmensural
(continued on next page)
162
(continued from previous page)
lilyGlyphnoteheadsdM3mensural
lilyGlyphnoteheadsdM3neomensural
lilyGlyphnoteheadsdM3semimensural
lilyGlyphnoteheadsdrM2mensural
lilyGlyphnoteheadsdrM2neomensural
lilyGlyphnoteheadsdrM2semimensural
lilyGlyphnoteheadsdrM3mensural
lilyGlyphnoteheadsdrM3neomensural
lilyGlyphnoteheadsdrM3semimensural
lilyGlyphnoteheadss0
lilyGlyphnoteheadss0blackmensural
lilyGlyphnoteheadss0blackpetrucci
lilyGlyphnoteheadss0cross
lilyGlyphnoteheadss0diamond
lilyGlyphnoteheadss0do
lilyGlyphnoteheadss0doThin
lilyGlyphnoteheadss0doWalker
lilyGlyphnoteheadss0faWalker
lilyGlyphnoteheadss0harmonic
lilyGlyphnoteheadss0kievan
lilyGlyphnoteheadss0la
lilyGlyphnoteheadss0laFunk
lilyGlyphnoteheadss0laThin
lilyGlyphnoteheadss0laWalker
lilyGlyphnoteheadss0mensural
lilyGlyphnoteheadss0mi
lilyGlyphnoteheadss0miMirror
lilyGlyphnoteheadss0miThin
lilyGlyphnoteheadss0miWalker
lilyGlyphnoteheadss0neomensural
lilyGlyphnoteheadss0petrucci
lilyGlyphnoteheadss0re
lilyGlyphnoteheadss0reThin
lilyGlyphnoteheadss0reWalker
lilyGlyphnoteheadss0slash
lilyGlyphnoteheadss0sol
lilyGlyphnoteheadss0solFunk
lilyGlyphnoteheadss0ti
lilyGlyphnoteheadss0tiThin
lilyGlyphnoteheadss0tiWalker
lilyGlyphnoteheadss0triangle
lilyGlyphnoteheadss1
lilyGlyphnoteheadss1blackpetrucci
lilyGlyphnoteheadss1cross
lilyGlyphnoteheadss1diamond
lilyGlyphnoteheadss1kievan
lilyGlyphnoteheadss1la
lilyGlyphnoteheadss1laFunk
lilyGlyphnoteheadss1laThin
lilyGlyphnoteheadss1laWalker
lilyGlyphnoteheadss1mensural
lilyGlyphnoteheadss1mi
lilyGlyphnoteheadss1miMirror
(continued on next page)
163
(continued from previous page)
lilyGlyphnoteheadss1miThin
lilyGlyphnoteheadss1miWalker
lilyGlyphnoteheadss1neomensural
lilyGlyphnoteheadss1petrucci
lilyGlyphnoteheadss1slash
lilyGlyphnoteheadss1sol
lilyGlyphnoteheadss1solFunk
lilyGlyphnoteheadss2
lilyGlyphnoteheadss2blackpetrucci
lilyGlyphnoteheadss2cross
lilyGlyphnoteheadss2diamond
lilyGlyphnoteheadss2harmonic
lilyGlyphnoteheadss2la
lilyGlyphnoteheadss2laFunk
lilyGlyphnoteheadss2laThin
lilyGlyphnoteheadss2laWalker
lilyGlyphnoteheadss2mensural
lilyGlyphnoteheadss2mi
lilyGlyphnoteheadss2miFunk
lilyGlyphnoteheadss2miMirror
lilyGlyphnoteheadss2miThin
lilyGlyphnoteheadss2miWalker
lilyGlyphnoteheadss2neomensural
lilyGlyphnoteheadss2petrucci
lilyGlyphnoteheadss2slash
lilyGlyphnoteheadss2sol
lilyGlyphnoteheadss2solFunk
lilyGlyphnoteheadss2xcircle
lilyGlyphnoteheadsshufnagellpes
lilyGlyphnoteheadsshufnagelpunctum
lilyGlyphnoteheadsshufnagelvirga
lilyGlyphnoteheadssM1
lilyGlyphnoteheadssM1blackmensural
lilyGlyphnoteheadssM1double
lilyGlyphnoteheadssM1kievan
lilyGlyphnoteheadssM1mensural
lilyGlyphnoteheadssM1neomensural
lilyGlyphnoteheadssM1semimensural
lilyGlyphnoteheadssM2blackligmensural
lilyGlyphnoteheadssM2kievan
lilyGlyphnoteheadssM2ligmensural
lilyGlyphnoteheadssM2semiligmensural
lilyGlyphnoteheadssM3blackligmensural
lilyGlyphnoteheadssM3ligmensural
lilyGlyphnoteheadssM3semiligmensural
lilyGlyphnoteheadssmedicaeainclinatum
lilyGlyphnoteheadssmedicaeapunctum
lilyGlyphnoteheadssmedicaearvirga
lilyGlyphnoteheadssmedicaeavirga
lilyGlyphnoteheadssr1kievan
lilyGlyphnoteheadssrM1mensural
lilyGlyphnoteheadssrM1neomensural
lilyGlyphnoteheadssrM1semimensural
(continued on next page)
164
(continued from previous page)
lilyGlyphnoteheadssrM2ligmensural
lilyGlyphnoteheadssrM2semiligmensural
lilyGlyphnoteheadssrM3ligmensural
lilyGlyphnoteheadssrM3semiligmensural
lilyGlyphnoteheadsssolesmesauctasc
lilyGlyphnoteheadsssolesmesauctdesc
lilyGlyphnoteheadsssolesmesinclauctum
lilyGlyphnoteheadsssolesmesinclparvum
lilyGlyphnoteheadsssolesmesoriscus
lilyGlyphnoteheadsssolesmesstropha
lilyGlyphnoteheadsssolesmesstrophaaucta
lilyGlyphnoteheadssvaticanacephalicus
lilyGlyphnoteheadssvaticanaepiphonus
lilyGlyphnoteheadssvaticanainclinatum
lilyGlyphnoteheadssvaticanainnercephalicus
lilyGlyphnoteheadssvaticanalineapunctum
lilyGlyphnoteheadssvaticanalineapunctumcavum
lilyGlyphnoteheadssvaticanalpes
lilyGlyphnoteheadssvaticanaplica
lilyGlyphnoteheadssvaticanapunctum
lilyGlyphnoteheadssvaticanapunctumcavum
lilyGlyphnoteheadssvaticanaquilisma
lilyGlyphnoteheadssvaticanareverseplica
lilyGlyphnoteheadssvaticanareversevplica
lilyGlyphnoteheadssvaticanaupes
lilyGlyphnoteheadssvaticanavepiphonus
lilyGlyphnoteheadssvaticanavlpes
lilyGlyphnoteheadssvaticanavplica
lilyGlyphnoteheadssvaticanavupes
lilyGlyphnoteheadsu0doFunk
lilyGlyphnoteheadsu0fa
lilyGlyphnoteheadsu0faFunk
lilyGlyphnoteheadsu0faThin
lilyGlyphnoteheadsu0miFunk
lilyGlyphnoteheadsu0reFunk
lilyGlyphnoteheadsu0tiFunk
lilyGlyphnoteheadsu1do
lilyGlyphnoteheadsu1doFunk
lilyGlyphnoteheadsu1doThin
lilyGlyphnoteheadsu1doWalker
lilyGlyphnoteheadsu1fa
lilyGlyphnoteheadsu1faFunk
lilyGlyphnoteheadsu1faThin
lilyGlyphnoteheadsu1faWalker
lilyGlyphnoteheadsu1miFunk
lilyGlyphnoteheadsu1re
lilyGlyphnoteheadsu1reFunk
lilyGlyphnoteheadsu1reThin
lilyGlyphnoteheadsu1reWalker
lilyGlyphnoteheadsu1ti
lilyGlyphnoteheadsu1tiFunk
lilyGlyphnoteheadsu1tiThin
lilyGlyphnoteheadsu1tiWalker
(continued on next page)
165
(continued from previous page)
lilyGlyphnoteheadsu1triangle
lilyGlyphnoteheadsu2do
lilyGlyphnoteheadsu2doFunk
lilyGlyphnoteheadsu2doThin
lilyGlyphnoteheadsu2doWalker
lilyGlyphnoteheadsu2fa
lilyGlyphnoteheadsu2faFunk
lilyGlyphnoteheadsu2faThin
lilyGlyphnoteheadsu2faWalker
lilyGlyphnoteheadsu2kievan
lilyGlyphnoteheadsu2re
lilyGlyphnoteheadsu2reFunk
lilyGlyphnoteheadsu2reThin
lilyGlyphnoteheadsu2reWalker
lilyGlyphnoteheadsu2ti
lilyGlyphnoteheadsu2tiFunk
lilyGlyphnoteheadsu2tiThin
lilyGlyphnoteheadsu2tiWalker
lilyGlyphnoteheadsu2triangle
lilyGlyphnoteheadsu3kievan
lilyGlyphnoteheadsuM2
lilyGlyphnoteheadsuM2blackmensural
lilyGlyphnoteheadsuM2mensural
lilyGlyphnoteheadsuM2neomensural
lilyGlyphnoteheadsuM2semimensural
lilyGlyphnoteheadsuM3blackmensural
lilyGlyphnoteheadsuM3mensural
lilyGlyphnoteheadsuM3neomensural
lilyGlyphnoteheadsuM3semimensural
lilyGlyphnoteheadsurM2mensural
lilyGlyphnoteheadsurM2neomensural
lilyGlyphnoteheadsurM2semimensural
lilyGlyphnoteheadsurM3mensural
lilyGlyphnoteheadsurM3neomensural
lilyGlyphnoteheadsurM3semimensural
Table 448 lilylyp s Named Accordion Symbols
lilyGlyphaccordionbayanbass lilyGlyphaccordionoldEE
lilyGlyphaccordiondiscant lilyGlyphaccordionpull
lilyGlyphaccordiondot lilyGlyphaccordionpush
lilyGlyphaccordionfreebass lilyGlyphaccordionstdbass
lilylyp s defines shorter names for all of these symbols exceptlilyGlyphaccordiondot See Table 439
166
Table 449 lilylyp s Named Accidentals
lilyGlyphaccidentalsdoublesharp
lilyGlyphaccidentalsflat
lilyGlyphaccidentalsflatarrowboth
lilyGlyphaccidentalsflatarrowdown
lilyGlyphaccidentalsflatarrowup
lilyGlyphaccidentalsflatslash
lilyGlyphaccidentalsflatslashslash
lilyGlyphaccidentalsflatflat
lilyGlyphaccidentalsflatflatslash
lilyGlyphaccidentalshufnagelM1
lilyGlyphaccidentalskievan1
lilyGlyphaccidentalskievanM1
lilyGlyphaccidentalsleftparen
lilyGlyphaccidentalsmedicaeaM1
lilyGlyphaccidentalsmensural1
lilyGlyphaccidentalsmensuralM1
lilyGlyphaccidentalsmirroredflat
lilyGlyphaccidentalsmirroredflatbackslash
lilyGlyphaccidentalsmirroredflatflat
lilyGlyphaccidentalsnatural
lilyGlyphaccidentalsnaturalarrowboth
lilyGlyphaccidentalsnaturalarrowdown
lilyGlyphaccidentalsnaturalarrowup
lilyGlyphaccidentalsrightparen
lilyGlyphaccidentalssharp
lilyGlyphaccidentalssharparrowboth
lilyGlyphaccidentalssharparrowdown
lilyGlyphaccidentalssharparrowup
lilyGlyphaccidentalssharpslashslashstem
lilyGlyphaccidentalssharpslashslashstemstemstem
lilyGlyphaccidentalssharpslashslashslashstem
lilyGlyphaccidentalssharpslashslashslashstemstem
lilyGlyphaccidentalsvaticana0
lilyGlyphaccidentalsvaticanaM1
lilylyp s defines shorter names for a few of these symbols See Table 433
Table 450 lilylyp s Named Arrowheads
lilyGlypharrowheadsclose01 lilyGlypharrowheadsopen01
lilyGlypharrowheadsclose0M1 lilyGlypharrowheadsopen0M1
lilyGlypharrowheadsclose11 lilyGlypharrowheadsopen11
lilyGlypharrowheadsclose1M1 lilyGlypharrowheadsopen1M1
167
Table 451 lilylyp s Named Alphanumerics and Punctuation
lilyGlyphzero lilyGlyphfour lilyGlypheight
lilyGlyphone lilyGlyphfive lilyGlyphnine
lilyGlyphtwo lilyGlyphsix
lilyGlyphthree lilyGlyphseven
lilyGlyphf lilyGlyphp lilyGlyphs
lilyGlyphm lilyGlyphr lilyGlyphz
lilyGlyphcomma lilyGlyphperiod
lilyGlyphhyphen lilyGlyphplus
See Table 435 for an alternative way to typeset dynamics letters lilylyp sadditionally provides a lilyText command that can be useful for typesetting
groups of the preceding symbols See the lilylyp s documentation for moreinformation
Table 452 Miscellaneous lilylyp s Named Musical Symbols
lilyGlyphbrackettipsdown lilyGlyphdotsdotvaticana
lilyGlyphbrackettipsup lilyGlyphtieslyricdefault
lilyGlyphdotsdot lilyGlyphtieslyricshort
lilyGlyphdotsdotkievan
168
8 Other symbols
The following are all the symbols that didnrsquot fit neatly or unambiguously into any of the previoussections (Do weather symbols belong under ldquoScience and technologyrdquo Should dice be consideredldquomathematicsrdquo) While some of the tables contain clearly related groups of symbols (eg symbolsrelated to various board games) others represent motley assortments of whatever the font designer feltlike drawing
Table 453 textcomp Genealogical Symbols
b textborn c textdivorced m textmarried
d textdied l textleaf
Table 454 wasysym General Symbols
m ataribox clock LEFTarrow RIGHTarrow
bell diameter leftturn rightturn
- blacksmiley L DOWNarrow lightning smiley
1 Bowtie frownie phone sun
| brokenvert invdiameter pointer K UParrow
checked 6 kreuz recorder loz wasylozenge
Table 455 manfnt Dangerous Bend Symbols
dbend ~ lhdbend reversedvideodbend
Note that these symbols descend far beneath the baseline manfnt also de-fines non-descending versions which it calls correspondingly textdbendtextlhdbend and textreversedvideodbend
Table 456 Miscellaneous manfnt Symbols
manboldkidney manpenkidney
$ manconcentriccircles amp manquadrifolium
manconcentricdiamond manquartercircle
mancone manrotatedquadrifolium
mancube manrotatedquartercircle
y manerrarrow manstar
manfilledquartercircle mantiltpennib
manhpennib 7 mantriangledown
manimpossiblecube x mantriangleright
mankidney 6 mantriangleup
manlhpenkidney manvpennib
Table 457 marvosym Media Control Symbols
middot Forward raquo MoveDown acute RewindToIndex frac14 ToTop
cedil ForwardToEnd ordm MoveUp micro RewindToStart
sup1 ForwardToIndex para Rewind frac12 ToBottom
169
Table 458 marvosym Laundry Symbols
Oslash AtForty Uuml Handwash Ocirc ShortNinetyFive
Oacute AtNinetyFive macr IroningI Ouml ShortSixty
Otilde AtSixty deg IroningII Ucirc ShortThirty
Euml Bleech plusmn IroningIII Uacute SpecialForty
laquo CleaningA Igrave NoBleech Tumbler
frac34 CleaningF uml NoChemicalCleaning WashCotton
iquest CleaningFF sup2 NoIroning WashSynthetics
not CleaningP NoTumbler WashWool
icirc CleaningPP times ShortFifty
Yacute Dontwash Ugrave ShortForty
Table 459 marvosym Information Symbols
reg Bicycle x Gentsroom Z PointingHand
U ClockLogo I Industry w Wheelchair
K Coffeecup i Info b WritingHand
o Football y Ladiesroom
Table 460 Other marvosym Symbols
Ankh yen Bouquet Heart f PeaceDove
yacute Bat Celtcross yuml ManFace copy Smiley
F BOLogo ordf CircledA sup3 MineSign thorn WomanFace
M BOLogoL Cross m Mundus Y Yinyang
N BOLogoP sect Frowny MVAt
Table 461 Miscellaneous universa Symbols
Ξ bauforms Λ bauhead
Table 462 Miscellaneous fourier Symbols
L bomb M grimace N textthing T textxswup
B danger A noway U textxswdown
fourier defines math-mode synonyms for a few of the preceding symbolsthething (ldquoNrdquo) xswordsup (ldquoTrdquo) and xswordsdown (ldquoUrdquo)
170
Table 463 ifsym Weather Symbols
Cloud Hail Sleet WeakRain
FilledCloud HalfSun Snow WeakRainCloud
FilledRainCloud Lightning SnowCloud $ FilledSnowCloud
FilledSunCloud NoSun Sun
FilledWeakRainCloud Rain SunCloud
Fog RainCloud ThinFog
In addition Thermo0 Thermo6 produce thermometers that are be-
tween 06 and 66 full of mercury
Similarly wind⟨sun⟩⟨angle⟩⟨strength⟩ will draw wind symbols with a
given amount of sun (0ndash4) a given angle (in degrees) and a given strength in
kmh (0ndash100) For example wind000 produces ldquo 0 rdquo wind200
produces ldquo 0 rdquo and wind40100 produces ldquo rdquo
Table 464 ifsym Alpine Symbols
SummitSign Summit SurveySign HalfFilledHut
StoneMan Mountain Joch VarSummit
Hut IceMountain Flag
FilledHut VarMountain VarFlag
Village VarIceMountain Tent
Table 465 ifsym Clocks
Interval StopWatchStart VarClock Wecker
StopWatchEnd Taschenuhr VarTaschenuhr
ifsym also exports a showclock macro showclock⟨hours⟩⟨minutes⟩outputs a clock displaying the corresponding time For instanceldquoshowclock540rdquo produces ldquoDrdquo ⟨hours⟩ must be an integer from 0 to 11and ⟨minutes⟩ must be an integer multiple of 5 from 0 to 55
Table 466 Other ifsym Symbols
FilledSectioningDiamond Letter Radiation
Fire PaperLandscape SectioningDiamond
Irritant PaperPortrait ( Telephone
Cube1 Cube3 Cube5
Cube2 Cube4 Cube6
StrokeOne StrokeThree StrokeFive
StrokeTwo StrokeFour
171
Table 467 clock Clocks
ClockStyle ClockFramefalse ClockFrametrue
0 i i01 i1 i102 i2 i203 i3 i30
The clock package provides a clock command to typeset an arbitrary time onan analog clock (and clocktime to typeset the documentrsquos build time) Forexample the clocks in the above table were produced with clock1541Clock symbols are composed from a font of clock-face fragments using one offour values for ClockStyle and either ClockFrametrue or ClockFrametrueas illustrated above See the clock documentation for more information
Table 468 epsdice Dice
epsdice1 epsdice3 epsdice5
epsdice2 epsdice4 epsdice6
Table 469 hhcount Dice
fcdice1 fcdice3 fcdice5
fcdice2 fcdice4 fcdice6
The fcdice command accepts values larger than 6 For exampleldquofcdice47rdquo produces ldquo rdquo
Table 470 stix Dice
dicei diceiii dicev
diceii diceiv dicevi
172
Table 471 bullcntr Tally Markers
∙ bullcntr⟨1 ⟩ ∙∙ ∙∙ bullcntr⟨4 ⟩ ∙∙∙∙∙∙∙ bullcntr⟨7 ⟩
∙ ∙ bullcntr⟨2 ⟩ ∙ ∙∙∙ ∙ bullcntr⟨5 ⟩ ∙∙∙∙∙∙∙∙ bullcntr⟨8 ⟩
∙∙ ∙ bullcntr⟨3 ⟩ ∙∙
∙ ∙∙∙ bullcntr⟨6 ⟩ ∙∙∙
∙∙∙∙∙∙ bullcntr⟨9 ⟩
The notation for bullcntr used in the above bears explanation bullcntr
does not take a number as its argument but rather a LATEX counter whose valueit uses to typeset a tally marker ldquobullcntr⟨3 ⟩rdquo for example means to in-voke bullcntr with a counter whose value is 3 (bullcntr usage is thereforeakin to that of LATEXrsquos fnsymbol) The intention is to use bullcntr indi-rectly via the bullenum packagersquos bullenum environment which is a variationon the enumerate environment that uses bullcntr to typeset the labels
To typeset individual tally markers one can define a helper command
newcounterbull
newcommandshowbullcntr[1]
setcounterbull1
bullcntrbull
bullcntrrsquos package options smallctrbull largectrbull and heartctrbull and cor-responding commands smallctrbull largectrbull and heartctrbull
control the formatting of each tally marker
small large heart
bullcntr⟨5 ⟩ ∙ ∙∙
∙ ∙∙ ∙∙∙ ∙
The default is smartctrbull (smartctrbull) which maps counter values 1ndash5to large pips and 6ndash9 to small pips It is also possible to use arbitrary symbolsfor bullcntrrsquos pips See the bullcntr documentation for more information
Table 472 hhcount Tally Markers
fcscore1 fcscore3 fcscore5
fcscore2 fcscore4
The fcscore command accepts values larger than 5 For exampleldquofcscore47rdquo produces ldquo rdquo
Table 473 dozenal Tally Markers
1 tally1 3 tally3 5 tally5
2 tally2 4 tally4 6 tally6
173
Table 474 skull Symbols
A skull
Table 475 Non-Mathematical mathabx Symbols
O rip
Table 476 skak Chess Informator Symbols
g bbetter d doublepawns q seppawns
i bdecisive L ending O-O shortcastling
b betteris j equal T timelimit
a bishoppair H file k unclear
e bupperhand O kside u unitedpawns
X capturesymbol O-O-O longcastling R various
O castlingchar x markera f wbetter
- castlinghyphen y markerb h wdecisive
I centre m mate J weakpt
+ checksymbol S morepawns v with
RR chesscomment U moreroom A withattack
P chessetc N novelty E withidea
l chesssee F onlymove C withinit
n compensation o opposbishops w without
V counterplay r passedpawn c wupperhand
t devadvantage M qside D zugzwang
G diagonal s samebishops
174
Table 477 skak Chess Pieces and Chessboard Squares
a BlackBishopOnBlack s BlackRookOnBlack J WhiteKingOnBlack
b BlackBishopOnWhite r BlackRookOnWhite K WhiteKingOnWhite
Z BlackEmptySquare B symbishop M WhiteKnightOnBlack
j BlackKingOnBlack K symking N WhiteKnightOnWhite
k BlackKingOnWhite N symknight O WhitePawnOnBlack
m BlackKnightOnBlack p sympawn P WhitePawnOnWhite
n BlackKnightOnWhite Q symqueen L WhiteQueenOnBlack
o BlackPawnOnBlack R symrook Q WhiteQueenOnWhite
p BlackPawnOnWhite A WhiteBishopOnBlack S WhiteRookOnBlack
l BlackQueenOnBlack B WhiteBishopOnWhite R WhiteRookOnWhite
q BlackQueenOnWhite 0 WhiteEmptySquare
The skak package also provides commands for drawing complete chessboardsSee the skak documentation for more information
Table 478 igo Go Symbols
blackstone[igocircle] whitestone[igocircle]
| blackstone[igocross] | whitestone[igocross]
blackstone[igonone] whitestone[igonone]
~ blackstone[igosquare] ~ whitestone[igosquare]
blackstone[igotriangle] whitestone[igotriangle]
In addition to the symbols shown above igorsquos blackstone and whitestone
commands accept numbers from 1 to 99 and display them circled as
c and c respectively
The igo package is intended to typeset complete Go boards (goban) See theigo documentation for more information
175
Table 479 go Go Symbols
botborder lftbotcorner rttopcorner
empty lfttopcorner ~ square
hoshi rtborder topborder
lftborder rtbotcorner triangle
In addition to the board fragments and stones shown above gorsquos black andwhite commands accept numbers from 1 to 253 and display them circled as
and respectively black and white
additionally accept square and triangle as arguments producing ~ and
and for black and ~ and and for white
The go package is intended to typeset complete Go boards (goban) See thego documentation for more information
Table 480 metre Metrical Symbols
times
amacr
bBm cc ˘ Mbb ˙˙
Pppp otimes
t
˘ Bmacr
bbm Ccc ˘ macrmbbx ˙
˙pppp tsbm
˘ bmacr
Bbmmacr
m ∘∘ oo ˙˙
Ppppp tsmb
˘ Bb ˘ bbmbmacr
M˙
p ˙˙
ppppp tsmm
˘ BBmacr ˘
bbmx timesmacr mamacr
pm psmacr
vppm
˘ bbmacr
bm ˘ Mb ˙ pp ˙ pxpmacr
vpppm
˘ bBmacr
Bm ˘ mb ˙ Pp ˙ Pxp ˙˙ x
times bba c ˘ mBbmacr
ppm sim
R
˘ bbb C ˘ mbB ˙˙
ppp sim
r
macrBBm Cc ˘ mbb ˙
˙Ppp otimes
T
The preceding symbols are valid only within the argument to the metre com-mand
Table 481 metre Small and Large Metrical Symbols
divide anaclasis divide Anaclasislt antidiple lt Antidipleltmiddotmiddot antidiple ltmiddotmiddot Antidiplesup antisigma sup Antisigma
timesmiddotmiddotmiddotmiddot asteriscus timesmiddotmiddotmiddotmiddot Asteriscus
and catalexis and Catalexisgt diple gt Diplegtmiddotmiddot diple gtmiddotmiddot Diple
obelus Obelusmiddotmiddot obelus middotmiddot Obelussim respondens sim Respondensotimes terminus otimes Terminusoplus terminus oplus Terminus
176
Table 482 teubner Metrical Symbols
Ι aeolicbii ι barbrevis η ipercatal
Θ aeolicbiii ς bbrevis λ longa
Κ aeolicbiv β brevis ε ubarbbrevis
Ξ anceps γ catal δ ubarbrevis
Ζ ancepsdbrevis corona φ ubarsbrevis
Ψ banceps Ϙ coronainv κ ubrevislonga
θ barbbrevis H hiatus
The teubner package provides a newmetrics command that helps users com-bine the preceding symbols as well as other teubner symbols For example thepredefined pentam symbol uses newmetrics to juxtapose six longas twobarbbrevises four brevises and a dBar into ldquoλθλθλ||λββλββλrdquoSee the teubner documentation for more information
Table 483 dictsym Dictionary Symbols
a dsaeronautical c dscommercial m dsmedical
G dsagricultural H dsheraldical X dsmilitary
A dsarchitectural J dsjuridical R dsrailways
B dsbiological L dsliterary T dstechnical
C dschemical M dsmathematical
Table 484 simpsons Characters from The Simpsons Bart
Homer Maggie SNPP
Burns
Lisa
Marge
The location of the charactersrsquo pupils can be controlled with the Goofy com-mand See A METAFONT of lsquoSimpsonsrsquo characters [Che97] for more informa-tion Also each of the above can be prefixed with Left to make the characterface left instead of right
LeftBart
177
Table 485 pmboxdraw Box-Drawing Symbols
textblock textSFli textSFxli textSFxxiii
textdkshade textSFlii textSFxlii textSFxxiv
textdnblock textSFliii textSFxliii textSFxxv
textlfblock textSFliv textSFxliv textSFxxvi
textltshade textSFv textSFxlix textSFxxvii
textrtblock textSFvi textSFxlv textSFxxviii
textSFi textSFvii textSFxlvi textSFxxxix
textSFii textSFviii textSFxlvii textSFxxxvi
textSFiii textSFx textSFxlviii textSFxxxvii
textSFiv textSFxi textSFxx textSFxxxviii
textSFix textSFxix textSFxxi textshade
textSFl textSFxl textSFxxii textupblock
Code Page 437 (CP437) which was first utilized by the original IBM PCcontains the set of box-drawing symbols (sides corners and intersections ofsingle- and double-ruled boxes) shown above in character positions 176ndash223These symbols also appear in the Unicode Box Drawing and Block Elementtables
The pmboxdraw package draws the CP437 box-drawing symbols using TEXrules (specifically vrule) instead of with a font and thereby provides theability to alter both rule width and the separation between rules See thepmboxdraw documentation for more information
Table 486 staves Magical Staves
staveI staveXXIV staveXLVII
staveII staveXXV staveXLVIII
staveIII staveXXVI 0 staveXLIX
staveIV staveXXVII 1 staveL
staveV staveXXVIII 2 staveLI
staveVI staveXXIX 3 staveLII
staveVII staveXXX 4 staveLIII
staveVIII staveXXXI 5 staveLIV
staveIX staveXXXII 6 staveLV
staveX staveXXXIII 7 staveLVI
staveXI staveXXXIV 8 staveLVII
(continued on next page)
178
(continued from previous page)
staveXII staveXXXV 9 staveLVIII
staveXIII staveXXXVI staveLIX
13 staveXIV $ staveXXXVII staveLX
staveXV staveXXXVIII lt staveLXI
staveXVI amp staveXXXIX = staveLXII
staveXVII staveXL gt staveLXIII
staveXVIII ( staveXLI staveLXIV
staveXIX ) staveXLII staveLXV
staveXX staveXLIII A staveLXVI
staveXXI + staveXLIV B staveLXVII
staveXXII staveXLV C staveLXVIII
staveXXIII - staveXLVI
The meanings of these symbols are described on the Web site for the Museumof Icelandic Sorcery and Witchcraft at httpwwwgaldrasyningisindexphpoption=com contentamptask=categoryampsectionid=5ampid=
18ampItemid=60 (TinyURL httptinyurlcom25979m) For example
staveL (ldquo1rdquo) is intended to ward off ghosts and evil spirits
Table 487 pigpen Cipher Symbols
A pigpenfont A J pigpenfont J S pigpenfont S
B pigpenfont B K pigpenfont K T pigpenfont T
C pigpenfont C L pigpenfont L U pigpenfont U
D pigpenfont D M pigpenfont M V pigpenfont V
E pigpenfont E N pigpenfont N W pigpenfont W
F pigpenfont F O pigpenfont O X pigpenfont X
G pigpenfont G P pigpenfont P Y pigpenfont Y
H pigpenfont H Q pigpenfont Q Z pigpenfont Z
I pigpenfont I R pigpenfont R
Table 488 ChinA2e Phases of the Moon
ndash MoonPha1 mdash MoonPha2 ˝ MoonPha3 ˜ MoonPha4
Table 489 ChinA2e Recycling Symbols
uml Greenpoint
179
Table 490 marvosym Recycling Symbols
szlig PackingWaste THORN Recycling
Table 491 recycle Recycling Symbols
A recycleA Recycle
A RECYCLE
The METAFONT code that implements the recycling symbols shown aboveis in the words of its author ldquoawful code [that] doesnrsquot even put the logoin a box (properly)rdquo Expect to receive ldquoInconsistent equation (off by
⟨number⟩)rdquo errors from METAFONT Fortunately if you tell METAFONT toproceed past those errors (eg by pressing Enter after each one or by specifyingldquo-interaction=nonstopmoderdquo on the METAFONT command line) it shouldproduce a valid font
The commands listed above should be used within a group(eg ldquorecyclerdquo) because they exhibit the side effect of changingthe font to the recycle font
Table 492 Other ChinA2e Symbols
iexcl Info iquest Request
Postbox Telephone
Table 493 soyombo Soyombo Symbols
Soyombo ndash sA ˝ sO
These symbols require that the Soyombo font be active (ldquosoyombo rdquo)
180
Table 494 knitting Knitting Symbols
textknit [[ textknit[ QQ textknitQ
textknit ]] textknit] qq textknitq
(( textknit( AA textknitA RR textknitR
)) textknit) aa textknita rr textknitr
textknit BB textknitB SS textknitS
-- textknit- bb textknitb ss textknits
22 textknit2 EE textknitE TT textknitT
33 textknit3 FF textknitF tt textknitt
44 textknit4 ff textknitf UU textknitU
55 textknit5 HH textknitH uu textknitu
66 textknit6 hh textknith VV textknitV
77 textknit7 II textknitI vv textknitv
88 textknit8 ii textkniti WW textknitW
99 textknit9 JJ textknitJ ww textknitw
textknit jj textknitj XX textknitX
textknit LL textknitL xx textknitx
ltlt textknitlt ll textknitl YY textknitY
== textknit= MM textknitM yy textknity
gtgt textknitgt mm textknitm ZZ textknitZ
textknit OO textknitO zz textknitz
The knitting package is intended to typeset complete knitting charts See theknitting documentation for more information
Some symbols behave differently when used as part of a sequence Forexample contrast textknit1 (ldquo11rdquo) textknit11 (ldquo1bdquo1bdquordquo) andtextknit111 (ldquo1rdquobdquo1rdquobdquordquo) Similarly contrast textknit (ldquo rdquo) andtextknit (ldquolaquolaquordquo) Again see the knitting documentation for more infor-mation
Table 495 CountriesOfEurope Country Maps Albania Latvia Andorra Liechtenstein Austria Lithuania Belarus Luxembourg Belgium Macedonia Bosnia Malta
(continued on next page)
181
(continued from previous page) Bulgaria Moldova Croatia Montenegro Czechia Netherlands
Denmark Norway Estonia Poland
Finland Portugal
France Romania
Germany iexcl Serbia
GreatBritain cent Slovakia
Greece pound Slovenia
(continued on next page)
182
(continued from previous page)
Hungary curren Spain
Iceland yen Sweden Ireland brvbar Switzerland
Italy
The preceding commands work only when the CountriesOfEurope font familyis active For convenience the package defines a CountriesOfEuropeFamily
command that switches to that font family
By default countries are drawn in the current font size HenceldquoCountriesOfEuropeFamilyFrancerdquo draws a nearly unrecognizable ldquordquoFor clarity of presentation Table 495 scales each glyph to 72 pt via an explicitfontsize7272 An alternative is to specify the scaled package option toscale all country glyphs by a given factor of the font size
Table 496 Miscellaneous arev Symbols
anchor invsmileface skull warning
biohazard radiation smileface yinyang
heavyqtleft recycle steaming
heavyqtright sadface swords
Table 497 cookingsymbols Cooking Symbols
Bottomheat Fork Knife Topbottomheat
Dish Gasstove Oven Topheat
Fanoven Gloves Spoon
183
Table 498 tikzsymbols Cooking Symbols
bakingplate cooker oven rollingpin
blender eggbeater pan sieve
bottle fryingpan peeler squeezer
bowl grater pot trident
tikzsymbols defines German-language aliases for each of the above Backblechfor bakingplate Bratpfanne for fryingpan Dreizack for tridentFlasche for bottle Herd for cooker Kochtopf for pot Nudelholzfor rollingpin Ofen for oven Pfanne for pan Purierstab forblender Reibe for grater Saftpresse for squeezer Schaler forpeeler Schneebesen for eggbeater Schussel for bowl and Sieb forsieve
All tikzsymbols symbols are implemented with TikZ graphics not with a font
Table 499 tikzsymbols Emoticons
Annoey Neutrey rWalley Vomey
Cat NiceReapey Sadey Walley
Cooley Ninja Sey Winkey
Innocey Nursey copy Smiley wInnocey
Laughey oldWinkey Tongey Xey
All tikzsymbols symbols are implemented with TikZ graphics not with a fontHence symbols like Ninja can include color In fact most of the commandsshown above accept one or more color arguments for further customizationSee the tikzsymbols documentation for more information
Table 500 tikzsymbols 3D Emoticons
dAnnoey dNinja dSmiley dXey
dCooley dNursey dTongey olddWinkey
dInnocey drWalley dVomey
dLaughey dSadey dWalley
dNeutrey dSey dWinkey
All tikzsymbols symbols are implemented with TikZ graphics not with a fontHence all of the symbols shown above can include color In fact each commandin Table 500 accepts one or more color arguments for further customizationSee the tikzsymbols documentation for more information
Table 501 tikzsymbols Trees
Autumntree Summertree WorstTree
Springtree Wintertree
All tikzsymbols symbols are implemented with TikZ graphics not with a fontHence all of the symbols shown above can include color tikzsymbols addition-ally defines a BasicTree command that supports customization of trunk andleaf colors See the tikzsymbols documentation for more information
184
Table 502 Miscellaneous tikzsymbols Symbols
Bed Chair Fire Snowman Tribar
Candle K Coffeecup Moai Strichmaxerl
All tikzsymbols symbols are implemented with TikZ graphics not with a fontTribar supports customization of the fill color for each bar Strichmaxerlsupports customization of the angles at which the stick figurersquos arms and legsare drawn See the tikzsymbols documentation for more information
Table 503 Miscellaneous bclogo Symbols
bcattention bcetoile bcpanchant
bcbombe bcfemme bcpeaceandlove
bcbook bcfeujaune bcpluie
1JAN bccalendrier bcfeurouge bcplume
bccle bcfeutricolore bcpoisson
bcclefa bcfeuvert bcquestion
bcclesol bcfleur bcrecyclage
bccoeur bchomme bcrosevents
bccrayon bchorloge bcsmbh
bccube bcicosaedre bcsmmh
bcdallemagne bcinfo bcsoleil
bcdanger bcinterdit spades bcspadesuit
bcdautriche bclampeSTOP
bcstop
bcdbelgique bcloupe bctakecare
bcdbulgarie bcneige bctetraedre
bcdfrance bcnote bctrefle
bcditalie bcnucleaire bctrombone
bcdluxembourg bcoctaedre bcvaletcoeur
bcdodecaedre bcoeil bcvelo
(continued on next page)
185
(continued from previous page)
bcdpaysbas bcorne bcyin
bcdz bcours
bceclaircie bcoutil
All bclogo symbols are implemented with TikZ (or alternatively PSTricks)graphics not with a font This is how the symbols shown above can includecolor
Table 504 fontawesome Web-Related Icons
iquest fa500px faFemale Oslash faPlane
egrave faAdjust m faFighterJet Ugrave faPlay
eacute faAdn n faFile Ucirc faPlayCircle
ecirc faAlignCenter 3 faFileArchiveO Uacute faPlayCircleO
euml faAlignJustify 4 faFileAudioO J faPlug
igrave faAlignLeft 6 faFileCodeO + faPlus
iacute faAlignRight 0 faFileExcelO Yacute faPlusCircle
Agrave faAmazon 2 faFileImageO Z faPlusSquare
icirc faAmbulance o faFileO THORN faPlusSquareO
iuml faAnchor faFilePdfO Ecirc faPowerOff
eth faAndroid 1 faFilePowerpointO szlig faPrint
h faAngellist lt faFilesO aacute faPuzzlePiece
D faAngleDoubleDown p faFileText faQq
E faAngleDoubleLeft q faFileTextO acirc faQrcode
F faAngleDoubleRight 5 faFileVideoO faQuestion
G faAngleDoubleUp faFileWordO auml faQuestionCircle
ntilde faAngleDown r faFilm aring faQuoteLeft
ograve faAngleLeft s faFilter aelig faQuoteRight
oacute faAngleRight t faFire ccedil faRandom
ocirc faAngleUp u faFireExtinguisher faRebel
faApple ordm faFirefox ( faRecycle
ouml faArchive v faFlag faReddit
^ faAreaChart x faFlagCheckered faRedditSquare
faAsterisk w faFlagO egrave faRefresh
[ faAt faFlask igrave faRenren
yacute faBackward y faFlickr iuml faReply
curren faBalanceScale uacute faFloppyO eth faReplyAll
thorn faBan z faFolder otilde faRetweet
yuml faBarChart faFolderO ouml faRoad
faBarcode | faFolderOpen divide faRocket
iacute faBars faFolderOpenO oslash faRss
faBatteryEmpty ~ faFont faRssSquare
faBatteryFull faFonticons cedil faSafari
faBatteryHalf n faForumbee faScissors
faBatteryQuarter faForward uuml faSearch
faBatteryThreeQuarters faFoursquare y faSearchMinus
(continued on next page)
186
(continued from previous page)
faBed faFrownO x faSearchPlus
faBeer G faFutbolO o faSellsy
$ faBehance faGamepad faServer
faBehanceSquare copy faGavel thorn faShare
faBell para faGetPocket faShareAlt
faBellO c faGg E faShareAltSquare
W faBellSlash d faGgCircle yuml faShareSquare
X faBellSlashO faGift yacute faShareSquareO
e faBicycle lt faGit faShield
I faBinoculars faGithub v faShip
] faBirthdayCake faGithubAlt p faShirtsinbulk
[ faBitbucket faGithubSquare faShoppingCart
faBitbucketSquare faGitSquare faSignal
f faBlackTie faGlass faSignIn
faBold faGlobe faSignOut
faBolt faGoogle q faSimplybuilt
F faBomb faGooglePlus faSitemap
faBook faGooglePlusSquare r faSkyatlas
faBookmark R faGoogleWallet faSkype
faBookmarkO faGraduationCap faSlack
faBriefcase faGratipay D faSliders
13 faBug = faHackerNews K faSlideshare
faBuilding faHddO faSmileO
faBuildingO B faHeader faSort
faBullhorn faHeadphones faSortAlphaAsc
faBullseye hearts faHeart faSortAlphaDesc
f faBus z faHeartbeat faSortAmountAsc
l faBuysellads faHeartO faSortAmountDesc
P faCalculator faHistory faSortAsc
faCalendar faHome faSortDesc
Auml faCalendarCheckO faHospitalO 13 faSortNumericAsc
Acirc faCalendarMinusO copy faHourglass faSortNumericDesc
faCalendarO uml faHourglassEnd faSoundcloud
Aacute faCalendarPlusO sect faHourglassHalf faSpaceShuttle
Atilde faCalendarTimesO yen faHourglassO faSpinner
faCamera brvbar faHourglassStart faSpoon
faCameraRetro Igrave faHouzz faSpotify
) faCar faHSquare faStackExchange
faCaretDown faHtml5 faStackOverflow
faCaretLeft faICursor amp faSteam
faCaretRight faInbox faSteamSquare
4 faCaretSquareODown faIndent faStepBackward
faCaretSquareOLeft Aring faIndustry faStepForward
faCaretSquareORight faInfo faStethoscope
5 faCaretSquareOUp faInfoCircle faStickyNote
faCaretUp iexcl faInstagram faStickyNoteO
t faCartArrowDown frac14 faInternetExplorer faStop
s faCartPlus g faIoxhost y faStreetView
i faCc cent faItalic faStrikethrough
_ faCcAmex faJoomla ] faStumbleupon
cent faCcDinersClub 9 faJsfiddle faStumbleuponCircle
T faCcDiscover curren faKey faSubscript
iexcl faCcJcb yen faKeyboardO faSubway
(continued on next page)
187
(continued from previous page)
S faCcMastercard ^ faLanguage faSuitcase
U faCcPaypal sect faLaptop faSuperscript
V faCcStripe a faLastfm faTable
faCcVisa b faLastfmSquare faTablet
faCertificate uml faLeaf A faTachometer
a faChainBroken b faLeanpub faTag
faChild ordf faLemonO $ faTags
sup1 faChrome laquo faLevelDown faTasks
ETH faClipboard not faLevelUp faTaxi
faClockO faLifeRing frac12 faTelevision
pound faClone shy faLightbulbO faTencentWeibo
faCloud ` faLineChart amp faTerminal
- faCloudDownload reg faLink faTextHeight
faCloudUpload macr faLinkedin ( faTextWidth
faCode deg faLinkedinSquare ) faTh
0 faCodeFork plusmn faLinux faThLarge
8 faCodepen sup2 faList + faThList
1 faCoffee sup3 faListAlt agrave faThumbTack
2 faCog Icirc faListOl faTicket
3 faCogs 9 faListUl 0 faTint
6 faColumns acute faLocationArrow c faToggleOff
7 faComment micro faLock d faToggleOn
Ecirc faCommenting ordm faMagic faTrain
Euml faCommentingO raquo faMagnet Y faTrash
8 faCommentO faMale 1 faTrashO
9 faComments Eacute faMap + faTree
faCommentsO frac12 faMapMarker 2 faTrello
faCompass Egrave faMapO acute faTripadvisor
oacute faCompress AElig faMapPin 3 faTrophy
m faConnectdevelop Ccedil faMapSigns 4 faTruck
frac34 faContao frac34 faMaxcdn H faTty
= faCreditCard k faMeanpath 5 faTumblr
gt faCrop faMedium 6 faTumblrSquare
ucirc faCrosshairs iquest faMedkit L faTwitch
faCss3 Agrave faMehO 7 faTwitter
faCube Aacute faMicrophone 8 faTwitterSquare
faCubes Acirc faMicrophoneSlash faUmbrella
faCutlery minus faMinus faUnderline
a faDashcube Auml faMinusCircle faUniversity
faDatabase Aring faMinusSquare b faUnlock
faDelicious faMinusSquareO c faUnlockAlt
B faDesktop AElig faMobile e faUpload
- faDeviantart Ccedil faMoney g faUser
u faDiamond x faMotorcycle h faUserMd
faDigg faMousePointer faUserPlus
I faDownload Eacute faMusic faUsers
J faDribbble N faNewspaperO w faUserSecret
K faDropbox faObjectGroup faUserTimes
faDrupal faObjectUngroup i faVideoCamera
N faEject e faOdnoklassniki Iacute faVimeo
O faEllipsisH micro faOdnoklassnikiSquare j faVimeoSquare
P faEllipsisV faOpencart 7 faVine
faEmpire faOpenid k faVk
(continued on next page)
188
(continued from previous page)
R faEnvelope raquo faOpera l faVolumeDown
Q faEnvelopeO faOptinMonster m faVolumeOff
faEnvelopeSquare faOutdent n faVolumeUp
faEraser faPagelines p faWeibo
T faExchange ` faPaintBrush faWeixin
U faExclamation Iuml faPaperclip faWhatsapp
V faExclamationCircle gt faPaperPlane faWheelchair
o faExclamationTriangle faPaperPlaneO O faWifi
ntilde faExpand C faParagraph middot faWikipediaW
faExpeditedssl Ntilde faPause q faWindows
W faExternalLink faPaw faWordpress
faExternalLinkSquare Q faPaypal r faWrench
Y faEye Oacute faPhone s faXing
faEyedropper Ocirc faPhoneSquare t faXingSquare
X faEyeSlash Otilde faPictureO faYahoo
g faFacebook _ faPieChart faYCombinator
faFacebookOfficial faPiedPiper M faYelp
h faFacebookSquare faPiedPiperAlt u faYoutube
j faFastBackward Ouml faPinterest v faYoutubePlay
k faFastForward faPinterestP w faYoutubeSquare
faFax times faPinterestSquare
fontawesome defines synonyms for many of the preceding symbols
) faAutomobile 3 faFileZipO faRa
faBank faFlash iacute faReorder
yuml faBarChartO faGe uacute faSave
faBattery0 2 faGear gt faSend
faBattery1 3 faGears faSendO
faBattery2 faGittip G faSoccerBallO
faBattery3 faGroup faSortDown
faBattery4 faHotel faSortUp
faCab Otilde faImage faSupport
reg faChain faInstitution 4 faToggleDown
lt faCopy copy faLegal faToggleLeft
faCut faLifeBouy faToggleRight
A faDashboard faLifeSaver 5 faToggleUp
faDedent thorn faMailForward frac12 faTv
L faEdit iuml faMailReply a faUnlink
g faFacebookF eth faMailReplyAll faUnsorted
oslash faFeed AElig faMobilePhone o faWarning
5 faFileMovieO faMortarBoard faWechat
2 faFilePhotoO iacute faNavicon faYc
2 faFilePictureO ETH faPaste = faYCombinatorSquare
4 faFileSoundO Otilde faPhoto = faYcSquare
189
Table 505 rubikcube Rubikrsquos Cube Rotations
rrhD rrhF rrhLw rrhRw rrhU
rrhDa rrhFp rrhLwp rrhRwp rrhUa
rrhDap rrhFw rrhM rrhSd rrhUap
rrhDp rrhFwp rrhMp rrhSdp rrhUp
rrhDs rrhL rrhR rrhSl rrhUs
rrhDsp rrhLa rrhRa rrhSlp rrhUsp
rrhDw rrhLap rrhRap rrhSr rrhUw
rrhDwp rrhLp rrhRp rrhSrp rrhUwp
rrhE rrhLs rrhRs rrhSu
rrhEp rrhLsp rrhRsp rrhSup
All rubikcube symbols are implemented with TikZ graphics not with a fontIn addition to the symbols shown above the rubikcube package defines com-mands for combinations of textual and graphical representations of rotations(eg textRubikUa produces ldquoUa rdquo) as well as commands that producecolored illustrations of Rubikrsquos Cube configurations and rotations See therubikcube documentation for more information
190
9 Fonts with minimal LATEX support
The symbol fonts shown in this section are provided without a corresponding LATEX 2120576 style file thatassigns a convenient name to each glyph Consequently each glyph must be accessed by number Tohelp with this the pifont package defines a Pisymbol command that typesets a specified character bynumber from a specified LATEX font family Alas most of the fonts in this section do not even define aLATEX font family Hence except where otherwise specified a document will need to include code likethe following in its preamble
usepackagepifont
DeclareFontFamilyU⟨name⟩DeclareFontShapeU⟨name⟩mnlt-gt ⟨font⟩
where ⟨font⟩ is the name of the tfm font file (or mf font file from which a tfm font file can begenerated automatically) and ⟨name⟩ is a name to use to refer to that font Itrsquos generally good practiceto use the name of the font file for ⟨name⟩ as in the following
usepackagepifont
DeclareFontFamilyUhands
DeclareFontShapeUhandsmnlt-gt hands
Table 506 hands Fists
A Pisymbolhands65 C Pisymbolhands67
B Pisymbolhands66 D Pisymbolhands68
Table 507 greenpoint Recycling Symbols
G Pisymbolgreenpoint71
Table 508 nkarta Map Symbols
Pisymbolnkarta33 ` Pisymbolnkarta96 Aacute Pisymbolnkarta193
Pisymbolnkarta34 a Pisymbolnkarta97 Acirc Pisymbolnkarta194
Pisymbolnkarta35 b Pisymbolnkarta98 Atilde Pisymbolnkarta195
$ Pisymbolnkarta36 c Pisymbolnkarta99 Auml Pisymbolnkarta196
Pisymbolnkarta37 d Pisymbolnkarta100 Aring Pisymbolnkarta197
amp Pisymbolnkarta38 e Pisymbolnkarta101 AElig Pisymbolnkarta198
Pisymbolnkarta39 f Pisymbolnkarta102 Ccedil Pisymbolnkarta199
( Pisymbolnkarta40 g Pisymbolnkarta103 Egrave Pisymbolnkarta200
) Pisymbolnkarta41 h Pisymbolnkarta104 Eacute Pisymbolnkarta201
Pisymbolnkarta42 i Pisymbolnkarta105 Ecirc Pisymbolnkarta202
+ Pisymbolnkarta43 j Pisymbolnkarta106 Euml Pisymbolnkarta203
Pisymbolnkarta44 k Pisymbolnkarta107 Igrave Pisymbolnkarta204
- Pisymbolnkarta45 l Pisymbolnkarta108 Iacute Pisymbolnkarta205
Pisymbolnkarta46 m Pisymbolnkarta109 Icirc Pisymbolnkarta206
Pisymbolnkarta47 n Pisymbolnkarta110 Iuml Pisymbolnkarta207
0 Pisymbolnkarta48 o Pisymbolnkarta111 ETH Pisymbolnkarta208
1 Pisymbolnkarta49 p Pisymbolnkarta112 Ntilde Pisymbolnkarta209
(continued on next page)
191
(continued from previous page)
2 Pisymbolnkarta50 q Pisymbolnkarta113 Ograve Pisymbolnkarta210
3 Pisymbolnkarta51 r Pisymbolnkarta114 Oacute Pisymbolnkarta211
4 Pisymbolnkarta52 s Pisymbolnkarta115 Ocirc Pisymbolnkarta212
5 Pisymbolnkarta53 t Pisymbolnkarta116 Otilde Pisymbolnkarta213
6 Pisymbolnkarta54 u Pisymbolnkarta117 Ouml Pisymbolnkarta214
7 Pisymbolnkarta55 v Pisymbolnkarta118 times Pisymbolnkarta215
8 Pisymbolnkarta56 w Pisymbolnkarta119 Oslash Pisymbolnkarta216
9 Pisymbolnkarta57 x Pisymbolnkarta120 Ugrave Pisymbolnkarta217
Pisymbolnkarta58 y Pisymbolnkarta121 Uacute Pisymbolnkarta218
Pisymbolnkarta59 z Pisymbolnkarta122 Ucirc Pisymbolnkarta219
lt Pisymbolnkarta60 Pisymbolnkarta123 Uuml Pisymbolnkarta220
= Pisymbolnkarta61 | Pisymbolnkarta124 Yacute Pisymbolnkarta221
gt Pisymbolnkarta62 Pisymbolnkarta125 THORN Pisymbolnkarta222
Pisymbolnkarta63 ~ Pisymbolnkarta126 szlig Pisymbolnkarta223
Pisymbolnkarta64 iexcl Pisymbolnkarta161 agrave Pisymbolnkarta224
A Pisymbolnkarta65 cent Pisymbolnkarta162 aacute Pisymbolnkarta225
B Pisymbolnkarta66 pound Pisymbolnkarta163 acirc Pisymbolnkarta226
C Pisymbolnkarta67 curren Pisymbolnkarta164 atilde Pisymbolnkarta227
D Pisymbolnkarta68 yen Pisymbolnkarta165 auml Pisymbolnkarta228
E Pisymbolnkarta69 brvbar Pisymbolnkarta166 aring Pisymbolnkarta229
F Pisymbolnkarta70 sect Pisymbolnkarta167 aelig Pisymbolnkarta230
G Pisymbolnkarta71 uml Pisymbolnkarta168 ccedil Pisymbolnkarta231
H Pisymbolnkarta72 copy Pisymbolnkarta169 egrave Pisymbolnkarta232
I Pisymbolnkarta73 ordf Pisymbolnkarta170 eacute Pisymbolnkarta233
J Pisymbolnkarta74 laquo Pisymbolnkarta171 ecirc Pisymbolnkarta234
K Pisymbolnkarta75 not Pisymbolnkarta172 euml Pisymbolnkarta235
L Pisymbolnkarta76 shy Pisymbolnkarta173 igrave Pisymbolnkarta236
M Pisymbolnkarta77 reg Pisymbolnkarta174 iacute Pisymbolnkarta237
N Pisymbolnkarta78 macr Pisymbolnkarta175 icirc Pisymbolnkarta238
O Pisymbolnkarta79 deg Pisymbolnkarta176 iuml Pisymbolnkarta239
P Pisymbolnkarta80 plusmn Pisymbolnkarta177 eth Pisymbolnkarta240
Q Pisymbolnkarta81 sup2 Pisymbolnkarta178 ntilde Pisymbolnkarta241
R Pisymbolnkarta82 sup3 Pisymbolnkarta179 ograve Pisymbolnkarta242
S Pisymbolnkarta83 acute Pisymbolnkarta180 oacute Pisymbolnkarta243
T Pisymbolnkarta84 micro Pisymbolnkarta181 ocirc Pisymbolnkarta244
U Pisymbolnkarta85 para Pisymbolnkarta182 otilde Pisymbolnkarta245
V Pisymbolnkarta86 middot Pisymbolnkarta183 ouml Pisymbolnkarta246
W Pisymbolnkarta87 cedil Pisymbolnkarta184 divide Pisymbolnkarta247
X Pisymbolnkarta88 sup1 Pisymbolnkarta185 oslash Pisymbolnkarta248
Y Pisymbolnkarta89 ordm Pisymbolnkarta186 ugrave Pisymbolnkarta249
Z Pisymbolnkarta90 raquo Pisymbolnkarta187 uacute Pisymbolnkarta250
[ Pisymbolnkarta91 frac14 Pisymbolnkarta188 ucirc Pisymbolnkarta251
Pisymbolnkarta92 frac12 Pisymbolnkarta189 uuml Pisymbolnkarta252
] Pisymbolnkarta93 frac34 Pisymbolnkarta190 yacute Pisymbolnkarta253
^ Pisymbolnkarta94 iquest Pisymbolnkarta191 thorn Pisymbolnkarta254
_ Pisymbolnkarta95 Agrave Pisymbolnkarta192
192
Table 509 moonphase Astronomical Symbols
Pisymbolmoonphase0 Pisymbolmoonphase2
Pisymbolmoonphase1 Pisymbolmoonphase3
Table 510 astrosym Astronomical Symbols
Pisymbolastrosym0 Pisymbolastrosym132
Pisymbolastrosym1 Pisymbolastrosym133
Pisymbolastrosym2 Pisymbolastrosym134
Pisymbolastrosym3 Pisymbolastrosym135
Pisymbolastrosym4 Pisymbolastrosym136
Pisymbolastrosym5 Pisymbolastrosym137
Pisymbolastrosym6 Pisymbolastrosym138
Pisymbolastrosym7 Pisymbolastrosym139
Pisymbolastrosym8 Pisymbolastrosym140
Pisymbolastrosym9 Pisymbolastrosym141
Pisymbolastrosym10 Pisymbolastrosym142
Pisymbolastrosym11 Pisymbolastrosym143
Pisymbolastrosym12 Pisymbolastrosym144
13 Pisymbolastrosym13 Pisymbolastrosym145
Pisymbolastrosym14 Pisymbolastrosym146
Pisymbolastrosym15 Pisymbolastrosym147
Pisymbolastrosym16 Pisymbolastrosym148
Pisymbolastrosym17 Pisymbolastrosym149
Pisymbolastrosym18 Pisymbolastrosym150
Pisymbolastrosym19 Pisymbolastrosym151
Pisymbolastrosym20 Pisymbolastrosym152
Pisymbolastrosym21 Pisymbolastrosym153
Pisymbolastrosym22 Pisymbolastrosym154
Pisymbolastrosym23 Pisymbolastrosym155
Pisymbolastrosym24 Pisymbolastrosym156
Pisymbolastrosym25 Pisymbolastrosym157
Pisymbolastrosym26 Pisymbolastrosym158
Pisymbolastrosym27 Pisymbolastrosym159
Pisymbolastrosym28 Pisymbolastrosym160
Pisymbolastrosym29 iexcl Pisymbolastrosym161
Pisymbolastrosym30 cent Pisymbolastrosym162
Pisymbolastrosym31 pound Pisymbolastrosym163
Pisymbolastrosym32 curren Pisymbolastrosym164
(continued on next page)
193
(continued from previous page)
Pisymbolastrosym33 yen Pisymbolastrosym165
Pisymbolastrosym34 brvbar Pisymbolastrosym166
Pisymbolastrosym35 sect Pisymbolastrosym167
$ Pisymbolastrosym36 uml Pisymbolastrosym168
Pisymbolastrosym37 copy Pisymbolastrosym169
amp Pisymbolastrosym38 sup2 Pisymbolastrosym178
Pisymbolastrosym39 sup3 Pisymbolastrosym179
( Pisymbolastrosym40 acute Pisymbolastrosym180
) Pisymbolastrosym41 micro Pisymbolastrosym181
Pisymbolastrosym42 para Pisymbolastrosym182
+ Pisymbolastrosym43 middot Pisymbolastrosym183
Pisymbolastrosym44 cedil Pisymbolastrosym184
- Pisymbolastrosym45 sup1 Pisymbolastrosym185
Pisymbolastrosym46 ordm Pisymbolastrosym186
Pisymbolastrosym47 raquo Pisymbolastrosym187
0 Pisymbolastrosym48 frac14 Pisymbolastrosym188
1 Pisymbolastrosym49 frac12 Pisymbolastrosym189
2 Pisymbolastrosym50 frac34 Pisymbolastrosym190
3 Pisymbolastrosym51 iquest Pisymbolastrosym191
4 Pisymbolastrosym52 Egrave Pisymbolastrosym200
5 Pisymbolastrosym53 Eacute Pisymbolastrosym201
6 Pisymbolastrosym54 Ecirc Pisymbolastrosym202
7 Pisymbolastrosym55 Euml Pisymbolastrosym203
8 Pisymbolastrosym56 Igrave Pisymbolastrosym204
9 Pisymbolastrosym57 Iacute Pisymbolastrosym205
Pisymbolastrosym58 Icirc Pisymbolastrosym206
Pisymbolastrosym59 Iuml Pisymbolastrosym207
lt Pisymbolastrosym60 ETH Pisymbolastrosym208
= Pisymbolastrosym61 Ntilde Pisymbolastrosym209
gt Pisymbolastrosym62 Ograve Pisymbolastrosym210
Pisymbolastrosym63 Oacute Pisymbolastrosym211
Pisymbolastrosym64 Ocirc Pisymbolastrosym212
A Pisymbolastrosym65 Otilde Pisymbolastrosym213
B Pisymbolastrosym66 Ouml Pisymbolastrosym214
C Pisymbolastrosym67 times Pisymbolastrosym215
D Pisymbolastrosym68 Oslash Pisymbolastrosym216
E Pisymbolastrosym69 Ugrave Pisymbolastrosym217
Z Pisymbolastrosym90 Uacute Pisymbolastrosym218
[ Pisymbolastrosym91 Ucirc Pisymbolastrosym219
Pisymbolastrosym92 Uuml Pisymbolastrosym220
] Pisymbolastrosym93 Yacute Pisymbolastrosym221
(continued on next page)
194
(continued from previous page)
^ Pisymbolastrosym94 THORN Pisymbolastrosym222
_ Pisymbolastrosym95 szlig Pisymbolastrosym223
d Pisymbolastrosym100 agrave Pisymbolastrosym224
e Pisymbolastrosym101 aacute Pisymbolastrosym225
f Pisymbolastrosym102 acirc Pisymbolastrosym226
g Pisymbolastrosym103 atilde Pisymbolastrosym227
h Pisymbolastrosym104 auml Pisymbolastrosym228
i Pisymbolastrosym105 aring Pisymbolastrosym229
j Pisymbolastrosym106 aelig Pisymbolastrosym230
k Pisymbolastrosym107 ccedil Pisymbolastrosym231
l Pisymbolastrosym108 egrave Pisymbolastrosym232
m Pisymbolastrosym109 eacute Pisymbolastrosym233
n Pisymbolastrosym110 ecirc Pisymbolastrosym234
o Pisymbolastrosym111 euml Pisymbolastrosym235
p Pisymbolastrosym112 igrave Pisymbolastrosym236
q Pisymbolastrosym113 iacute Pisymbolastrosym237
r Pisymbolastrosym114 icirc Pisymbolastrosym238
s Pisymbolastrosym115 iuml Pisymbolastrosym239
t Pisymbolastrosym116 eth Pisymbolastrosym240
u Pisymbolastrosym117 ntilde Pisymbolastrosym241
v Pisymbolastrosym118 ograve Pisymbolastrosym242
w Pisymbolastrosym119 oacute Pisymbolastrosym243
x Pisymbolastrosym120 ocirc Pisymbolastrosym244
y Pisymbolastrosym121 otilde Pisymbolastrosym245
z Pisymbolastrosym122 ouml Pisymbolastrosym246
Pisymbolastrosym123 divide Pisymbolastrosym247
| Pisymbolastrosym124 oslash Pisymbolastrosym248
Pisymbolastrosym125 ugrave Pisymbolastrosym249
~ Pisymbolastrosym126 uacute Pisymbolastrosym250
Pisymbolastrosym127 ucirc Pisymbolastrosym251
Pisymbolastrosym128 uuml Pisymbolastrosym252
Pisymbolastrosym129 yacute Pisymbolastrosym253
Pisymbolastrosym130 thorn Pisymbolastrosym254
Pisymbolastrosym131 yuml Pisymbolastrosym255
195
Table 511 webomints Decorative Borders
PisymbolWebOMintsGD47 W PisymbolWebOMintsGD87
0 PisymbolWebOMintsGD48 X PisymbolWebOMintsGD88
1 PisymbolWebOMintsGD49 Y PisymbolWebOMintsGD89
2 PisymbolWebOMintsGD50 Z PisymbolWebOMintsGD90
3 PisymbolWebOMintsGD51 [ PisymbolWebOMintsGD91
4 PisymbolWebOMintsGD52 ] PisymbolWebOMintsGD93
5 PisymbolWebOMintsGD53 a PisymbolWebOMintsGD97
6 PisymbolWebOMintsGD54 b PisymbolWebOMintsGD98
7 PisymbolWebOMintsGD55 c PisymbolWebOMintsGD99
8 PisymbolWebOMintsGD56 d PisymbolWebOMintsGD100
9 PisymbolWebOMintsGD57 e PisymbolWebOMintsGD101
A PisymbolWebOMintsGD65 f PisymbolWebOMintsGD102
B PisymbolWebOMintsGD66 g PisymbolWebOMintsGD103
C PisymbolWebOMintsGD67 h PisymbolWebOMintsGD104
D PisymbolWebOMintsGD68 i PisymbolWebOMintsGD105
E PisymbolWebOMintsGD69 j PisymbolWebOMintsGD106
F PisymbolWebOMintsGD70 k PisymbolWebOMintsGD107
G PisymbolWebOMintsGD71 l PisymbolWebOMintsGD108
H PisymbolWebOMintsGD72 m PisymbolWebOMintsGD109
I PisymbolWebOMintsGD73 n PisymbolWebOMintsGD110
J PisymbolWebOMintsGD74 o PisymbolWebOMintsGD111
K PisymbolWebOMintsGD75 p PisymbolWebOMintsGD112
L PisymbolWebOMintsGD76 q PisymbolWebOMintsGD113
M PisymbolWebOMintsGD77 r PisymbolWebOMintsGD114
N PisymbolWebOMintsGD78 s PisymbolWebOMintsGD115
O PisymbolWebOMintsGD79 t PisymbolWebOMintsGD116
P PisymbolWebOMintsGD80 u PisymbolWebOMintsGD117
Q PisymbolWebOMintsGD81 v PisymbolWebOMintsGD118
R PisymbolWebOMintsGD82 w PisymbolWebOMintsGD119
S PisymbolWebOMintsGD83 x PisymbolWebOMintsGD120
T PisymbolWebOMintsGD84 y PisymbolWebOMintsGD121
U PisymbolWebOMintsGD85 z PisymbolWebOMintsGD122
V PisymbolWebOMintsGD86
webomints provides a uwebofd font-definition file Instead of using pifontand Pisymbol to typeset a glyph a document can select the webomintsfont directly For example usefontUweboxlnchar73char74mdashalternatively usefontUweboxlnIJmdashwill typeset ldquoIJrdquoThis can be useful for typesetting a number of webomints glyphs in a row
The niceframe package can be used to typeset decorative frames using fontssuch as webomints
196
Table 512 umranda Decorative Borders
Pisymbolumranda0 Pisymbolumranda34 D Pisymbolumranda68
Pisymbolumranda1 Pisymbolumranda35 E Pisymbolumranda69
Pisymbolumranda2 $ Pisymbolumranda36 F Pisymbolumranda70
Pisymbolumranda3 Pisymbolumranda37 G Pisymbolumranda71
Pisymbolumranda4 amp Pisymbolumranda38 H Pisymbolumranda72
Pisymbolumranda5 Pisymbolumranda39 I Pisymbolumranda73
Pisymbolumranda6 ( Pisymbolumranda40 J Pisymbolumranda74
Pisymbolumranda7 ) Pisymbolumranda41 K Pisymbolumranda75
Pisymbolumranda8 Pisymbolumranda42 L Pisymbolumranda76
Pisymbolumranda9 + Pisymbolumranda43 M Pisymbolumranda77
Pisymbolumranda10 Pisymbolumranda44 N Pisymbolumranda78
Pisymbolumranda11 - Pisymbolumranda45 O Pisymbolumranda79
Pisymbolumranda12 Pisymbolumranda46 P Pisymbolumranda80
13 Pisymbolumranda13 Pisymbolumranda47 Q Pisymbolumranda81
Pisymbolumranda14 0 Pisymbolumranda48 R Pisymbolumranda82
Pisymbolumranda15 1 Pisymbolumranda49 S Pisymbolumranda83
Pisymbolumranda16 2 Pisymbolumranda50 T Pisymbolumranda84
Pisymbolumranda17 3 Pisymbolumranda51 U Pisymbolumranda85
Pisymbolumranda18 4 Pisymbolumranda52 V Pisymbolumranda86
Pisymbolumranda19 5 Pisymbolumranda53 W Pisymbolumranda87
Pisymbolumranda20 6 Pisymbolumranda54 X Pisymbolumranda88
Pisymbolumranda21 7 Pisymbolumranda55 Y Pisymbolumranda89
Pisymbolumranda22 8 Pisymbolumranda56 Z Pisymbolumranda90
Pisymbolumranda23 9 Pisymbolumranda57 [ Pisymbolumranda91
Pisymbolumranda24 Pisymbolumranda58 Pisymbolumranda92
Pisymbolumranda25 Pisymbolumranda59 ] Pisymbolumranda93
Pisymbolumranda26 lt Pisymbolumranda60 ^ Pisymbolumranda94
Pisymbolumranda27 = Pisymbolumranda61 _ Pisymbolumranda95
Pisymbolumranda28 gt Pisymbolumranda62 ` Pisymbolumranda96
Pisymbolumranda29 Pisymbolumranda63 a Pisymbolumranda97
Pisymbolumranda30 Pisymbolumranda64 b Pisymbolumranda98
Pisymbolumranda31 A Pisymbolumranda65 c Pisymbolumranda99
Pisymbolumranda32 B Pisymbolumranda66 d Pisymbolumranda100
Pisymbolumranda33 C Pisymbolumranda67 e Pisymbolumranda101
The niceframe package can be used to typeset decorative frames using fontssuch as umranda
197
Table 513 umrandb Decorative Borders
Pisymbolumrandb0 Pisymbolumrandb42 T Pisymbolumrandb84
Pisymbolumrandb1 + Pisymbolumrandb43 U Pisymbolumrandb85
Pisymbolumrandb2 Pisymbolumrandb44 V Pisymbolumrandb86
Pisymbolumrandb3 - Pisymbolumrandb45 W Pisymbolumrandb87
Pisymbolumrandb4 Pisymbolumrandb46 X Pisymbolumrandb88
Pisymbolumrandb5 Pisymbolumrandb47 Y Pisymbolumrandb89
Pisymbolumrandb6 0 Pisymbolumrandb48 Z Pisymbolumrandb90
Pisymbolumrandb7 1 Pisymbolumrandb49 [ Pisymbolumrandb91
Pisymbolumrandb8 2 Pisymbolumrandb50 Pisymbolumrandb92
Pisymbolumrandb9 3 Pisymbolumrandb51 ] Pisymbolumrandb93
Pisymbolumrandb10 4 Pisymbolumrandb52 ^ Pisymbolumrandb94
Pisymbolumrandb11 5 Pisymbolumrandb53 _ Pisymbolumrandb95
Pisymbolumrandb12 6 Pisymbolumrandb54 ` Pisymbolumrandb96
13 Pisymbolumrandb13 7 Pisymbolumrandb55 a Pisymbolumrandb97
Pisymbolumrandb14 8 Pisymbolumrandb56 b Pisymbolumrandb98
Pisymbolumrandb15 9 Pisymbolumrandb57 c Pisymbolumrandb99
Pisymbolumrandb16 Pisymbolumrandb58 d Pisymbolumrandb100
Pisymbolumrandb17 Pisymbolumrandb59 e Pisymbolumrandb101
Pisymbolumrandb18 lt Pisymbolumrandb60 f Pisymbolumrandb102
Pisymbolumrandb19 = Pisymbolumrandb61 g Pisymbolumrandb103
Pisymbolumrandb20 gt Pisymbolumrandb62 h Pisymbolumrandb104
Pisymbolumrandb21 Pisymbolumrandb63 i Pisymbolumrandb105
Pisymbolumrandb22 Pisymbolumrandb64 j Pisymbolumrandb106
Pisymbolumrandb23 A Pisymbolumrandb65 k Pisymbolumrandb107
Pisymbolumrandb24 B Pisymbolumrandb66 l Pisymbolumrandb108
Pisymbolumrandb25 C Pisymbolumrandb67 m Pisymbolumrandb109
Pisymbolumrandb26 D Pisymbolumrandb68 n Pisymbolumrandb110
Pisymbolumrandb27 E Pisymbolumrandb69 o Pisymbolumrandb111
Pisymbolumrandb28 F Pisymbolumrandb70 p Pisymbolumrandb112
Pisymbolumrandb29 G Pisymbolumrandb71 q Pisymbolumrandb113
Pisymbolumrandb30 H Pisymbolumrandb72 r Pisymbolumrandb114
Pisymbolumrandb31 I Pisymbolumrandb73 s Pisymbolumrandb115
Pisymbolumrandb32 J Pisymbolumrandb74 t Pisymbolumrandb116
Pisymbolumrandb33 K Pisymbolumrandb75 u Pisymbolumrandb117
Pisymbolumrandb34 L Pisymbolumrandb76 v Pisymbolumrandb118
Pisymbolumrandb35 M Pisymbolumrandb77 w Pisymbolumrandb119
$ Pisymbolumrandb36 N Pisymbolumrandb78 x Pisymbolumrandb120
Pisymbolumrandb37 O Pisymbolumrandb79 y Pisymbolumrandb121
amp Pisymbolumrandb38 P Pisymbolumrandb80 z Pisymbolumrandb122
Pisymbolumrandb39 Q Pisymbolumrandb81 Pisymbolumrandb123
( Pisymbolumrandb40 R Pisymbolumrandb82
) Pisymbolumrandb41 S Pisymbolumrandb83
The niceframe package can be used to typeset decorative frames using fontssuch as umrandb
198
Table 514 dingbat Decorative Borders
E Pisymboldingbat69 a Pisymboldingbat97
F Pisymboldingbat70 b Pisymboldingbat98
G Pisymboldingbat71 c Pisymboldingbat99
H Pisymboldingbat72 d Pisymboldingbat100
J Pisymboldingbat74 e Pisymboldingbat101
K Pisymboldingbat75 f Pisymboldingbat102
L Pisymboldingbat76 g Pisymboldingbat103
M Pisymboldingbat77 h Pisymboldingbat104
The preceding table is incomplete in that it includes only unnamed dingbatsymbols Named symbols are included in Table 352 and Table 396 (bothintermixed with symbols from the ark10 font)
The dingbat package includes a udingbatfd file so a document does not needto specify the DeclareFontFamily and DeclareFontShape commands listat the beginning of Section 9
The niceframe package can be used to typeset decorative frames using fontssuch as dingbat
Table 515 knot Celtic Knots
0 Pisymbolknot148 D Pisymbolknot168 T Pisymbolknot184
1 Pisymbolknot149 E Pisymbolknot169 U Pisymbolknot185
2 Pisymbolknot150 F Pisymbolknot170 V Pisymbolknot186
3 Pisymbolknot151 G Pisymbolknot171 W Pisymbolknot187
4 Pisymbolknot152 H Pisymbolknot172 X Pisymbolknot188
5 Pisymbolknot153 I Pisymbolknot173 ` Pisymbolknot196
Pisymbolknot158 J Pisymbolknot174 a Pisymbolknot197
Pisymbolknot159 K Pisymbolknot175 b Pisymbolknot198
lt Pisymbolknot160 L Pisymbolknot176 c Pisymbolknot199
= Pisymbolknot161 M Pisymbolknot177 d Pisymbolknot1100
(continued on next page)
199
(continued from previous page)
gt Pisymbolknot162 N Pisymbolknot178 e Pisymbolknot1101
Pisymbolknot163 O Pisymbolknot179 f Pisymbolknot1102
Pisymbolknot164 P Pisymbolknot180 g Pisymbolknot1103
A Pisymbolknot165 Q Pisymbolknot181 h Pisymbolknot1104
B Pisymbolknot166 R Pisymbolknot182 i Pisymbolknot1105
C Pisymbolknot167 S Pisymbolknot183
0 Pisymbolknot248 D Pisymbolknot268 T Pisymbolknot284
1 Pisymbolknot249 E Pisymbolknot269 U Pisymbolknot285
2 Pisymbolknot250 F Pisymbolknot270 V Pisymbolknot286
3 Pisymbolknot251 G Pisymbolknot271 W Pisymbolknot287
4 Pisymbolknot252 H Pisymbolknot272 X Pisymbolknot288
5 Pisymbolknot253 I Pisymbolknot273 ` Pisymbolknot296
Pisymbolknot258 J Pisymbolknot274 a Pisymbolknot297
Pisymbolknot259 K Pisymbolknot275 b Pisymbolknot298
lt Pisymbolknot260 L Pisymbolknot276 c Pisymbolknot299
= Pisymbolknot261 M Pisymbolknot277 d Pisymbolknot2100
gt Pisymbolknot262 N Pisymbolknot278 e Pisymbolknot2101
Pisymbolknot263 O Pisymbolknot279 f Pisymbolknot2102
Pisymbolknot264 P Pisymbolknot280 g Pisymbolknot2103
A Pisymbolknot265 Q Pisymbolknot281 h Pisymbolknot2104
B Pisymbolknot266 R Pisymbolknot282 i Pisymbolknot2105
C Pisymbolknot267 S Pisymbolknot283
0 Pisymbolknot348 D Pisymbolknot368 T Pisymbolknot384
1 Pisymbolknot349 E Pisymbolknot369 U Pisymbolknot385
2 Pisymbolknot350 F Pisymbolknot370 V Pisymbolknot386
3 Pisymbolknot351 G Pisymbolknot371 W Pisymbolknot387
4 Pisymbolknot352 H Pisymbolknot372 X Pisymbolknot388
5 Pisymbolknot353 I Pisymbolknot373 ` Pisymbolknot396
Pisymbolknot358 J Pisymbolknot374 a Pisymbolknot397
Pisymbolknot359 K Pisymbolknot375 b Pisymbolknot398
lt Pisymbolknot360 L Pisymbolknot376 c Pisymbolknot399
= Pisymbolknot361 M Pisymbolknot377 d Pisymbolknot3100
gt Pisymbolknot362 N Pisymbolknot378 e Pisymbolknot3101
Pisymbolknot363 O Pisymbolknot379 f Pisymbolknot3102
Pisymbolknot364 P Pisymbolknot380 g Pisymbolknot3103
A Pisymbolknot365 Q Pisymbolknot381 h Pisymbolknot3104
B Pisymbolknot366 R Pisymbolknot382 i Pisymbolknot3105
(continued on next page)
200
(continued from previous page)
C Pisymbolknot367 S Pisymbolknot383
0 Pisymbolknot448 D Pisymbolknot468 T Pisymbolknot484
1 Pisymbolknot449 E Pisymbolknot469 U Pisymbolknot485
2 Pisymbolknot450 F Pisymbolknot470 V Pisymbolknot486
3 Pisymbolknot451 G Pisymbolknot471 W Pisymbolknot487
4 Pisymbolknot452 H Pisymbolknot472 X Pisymbolknot488
5 Pisymbolknot453 I Pisymbolknot473 ` Pisymbolknot496
Pisymbolknot458 J Pisymbolknot474 a Pisymbolknot497
Pisymbolknot459 K Pisymbolknot475 b Pisymbolknot498
lt Pisymbolknot460 L Pisymbolknot476 c Pisymbolknot499
= Pisymbolknot461 M Pisymbolknot477 d Pisymbolknot4100
gt Pisymbolknot462 N Pisymbolknot478 e Pisymbolknot4101
Pisymbolknot463 O Pisymbolknot479 f Pisymbolknot4102
Pisymbolknot464 P Pisymbolknot480 g Pisymbolknot4103
A Pisymbolknot465 Q Pisymbolknot481 h Pisymbolknot4104
B Pisymbolknot466 R Pisymbolknot482 i Pisymbolknot4105
C Pisymbolknot467 S Pisymbolknot483
0 Pisymbolknot548 D Pisymbolknot568 T Pisymbolknot584
1 Pisymbolknot549 E Pisymbolknot569 U Pisymbolknot585
2 Pisymbolknot550 F Pisymbolknot570 V Pisymbolknot586
3 Pisymbolknot551 G Pisymbolknot571 W Pisymbolknot587
4 Pisymbolknot552 H Pisymbolknot572 X Pisymbolknot588
5 Pisymbolknot553 I Pisymbolknot573 ` Pisymbolknot596
Pisymbolknot558 J Pisymbolknot574 a Pisymbolknot597
Pisymbolknot559 K Pisymbolknot575 b Pisymbolknot598
lt Pisymbolknot560 L Pisymbolknot576 c Pisymbolknot599
= Pisymbolknot561 M Pisymbolknot577 d Pisymbolknot5100
gt Pisymbolknot562 N Pisymbolknot578 e Pisymbolknot5101
Pisymbolknot563 O Pisymbolknot579 f Pisymbolknot5102
Pisymbolknot564 P Pisymbolknot580 g Pisymbolknot5103
A Pisymbolknot565 Q Pisymbolknot581 h Pisymbolknot5104
B Pisymbolknot566 R Pisymbolknot582 i Pisymbolknot5105
C Pisymbolknot567 S Pisymbolknot583
0 Pisymbolknot648 D Pisymbolknot668 T Pisymbolknot684
1 Pisymbolknot649 E Pisymbolknot669 U Pisymbolknot685
2 Pisymbolknot650 F Pisymbolknot670 V Pisymbolknot686
3 Pisymbolknot651 G Pisymbolknot671 W Pisymbolknot687
(continued on next page)
201
(continued from previous page)
4 Pisymbolknot652 H Pisymbolknot672 X Pisymbolknot688
5 Pisymbolknot653 I Pisymbolknot673 ` Pisymbolknot696
Pisymbolknot658 J Pisymbolknot674 a Pisymbolknot697
Pisymbolknot659 K Pisymbolknot675 b Pisymbolknot698
lt Pisymbolknot660 L Pisymbolknot676 c Pisymbolknot699
= Pisymbolknot661 M Pisymbolknot677 d Pisymbolknot6100
gt Pisymbolknot662 N Pisymbolknot678 e Pisymbolknot6101
Pisymbolknot663 O Pisymbolknot679 f Pisymbolknot6102
Pisymbolknot664 P Pisymbolknot680 g Pisymbolknot6103
A Pisymbolknot665 Q Pisymbolknot681 h Pisymbolknot6104
B Pisymbolknot666 R Pisymbolknot682 i Pisymbolknot6105
C Pisymbolknot667 S Pisymbolknot683
0 Pisymbolknot748 D Pisymbolknot768 T Pisymbolknot784
1 Pisymbolknot749 E Pisymbolknot769 U Pisymbolknot785
2 Pisymbolknot750 F Pisymbolknot770 V Pisymbolknot786
3 Pisymbolknot751 G Pisymbolknot771 W Pisymbolknot787
4 Pisymbolknot752 H Pisymbolknot772 X Pisymbolknot788
5 Pisymbolknot753 I Pisymbolknot773 ` Pisymbolknot796
Pisymbolknot758 J Pisymbolknot774 a Pisymbolknot797
Pisymbolknot759 K Pisymbolknot775 b Pisymbolknot798
lt Pisymbolknot760 L Pisymbolknot776 c Pisymbolknot799
= Pisymbolknot761 M Pisymbolknot777 d Pisymbolknot7100
gt Pisymbolknot762 N Pisymbolknot778 e Pisymbolknot7101
Pisymbolknot763 O Pisymbolknot779 f Pisymbolknot7102
Pisymbolknot764 P Pisymbolknot780 g Pisymbolknot7103
A Pisymbolknot765 Q Pisymbolknot781 h Pisymbolknot7104
B Pisymbolknot766 R Pisymbolknot782 i Pisymbolknot7105
C Pisymbolknot767 S Pisymbolknot783
The following is an example of a basic knot usingusefontUknot⟨number⟩mn to change fonts for multiple char-acters instead of Pisymbol to typeset one character at a time Note thatall of the characters in the knot fonts lie conveniently within the range ofprintable ASCII characters
Input knot1 knot2 knot3 knot4 knot5 knot6 knot7
CDB CDB CDB CDB CDB CDB CDB CDBFHG FHG FHG FHG FHG FHG FHG FHGEA EA EA EA EA EA EA EA
The niceframe package can be used to typeset decorative frames using fontssuch as knot especially using characters 48ndash63 of each font variant
202
Table 516 dancers Dancing Men
Pisymboldancers0 V Pisymboldancers86 not Pisymboldancers172
Pisymboldancers1 W Pisymboldancers87 shy Pisymboldancers173
Pisymboldancers2 X Pisymboldancers88 reg Pisymboldancers174
Pisymboldancers3 Y Pisymboldancers89 macr Pisymboldancers175
Pisymboldancers4 Z Pisymboldancers90 deg Pisymboldancers176
Pisymboldancers5 [ Pisymboldancers91 plusmn Pisymboldancers177
Pisymboldancers6 Pisymboldancers92 sup2 Pisymboldancers178
Pisymboldancers7 ] Pisymboldancers93 sup3 Pisymboldancers179
Pisymboldancers8 ^ Pisymboldancers94 acute Pisymboldancers180
Pisymboldancers9 _ Pisymboldancers95 micro Pisymboldancers181
Pisymboldancers10 ` Pisymboldancers96 para Pisymboldancers182
Pisymboldancers11 a Pisymboldancers97 middot Pisymboldancers183
Pisymboldancers12 b Pisymboldancers98 cedil Pisymboldancers184
13 Pisymboldancers13 c Pisymboldancers99 sup1 Pisymboldancers185
Pisymboldancers14 d Pisymboldancers100 ordm Pisymboldancers186
Pisymboldancers15 e Pisymboldancers101 raquo Pisymboldancers187
Pisymboldancers16 f Pisymboldancers102 frac14 Pisymboldancers188
Pisymboldancers17 g Pisymboldancers103 frac12 Pisymboldancers189
Pisymboldancers18 h Pisymboldancers104 frac34 Pisymboldancers190
Pisymboldancers19 i Pisymboldancers105 iquest Pisymboldancers191
Pisymboldancers20 j Pisymboldancers106 Agrave Pisymboldancers192
Pisymboldancers21 k Pisymboldancers107 Aacute Pisymboldancers193
Pisymboldancers22 l Pisymboldancers108 Acirc Pisymboldancers194
Pisymboldancers23 m Pisymboldancers109 Atilde Pisymboldancers195
Pisymboldancers24 n Pisymboldancers110 Auml Pisymboldancers196
Pisymboldancers25 o Pisymboldancers111 Aring Pisymboldancers197
Pisymboldancers26 p Pisymboldancers112 AElig Pisymboldancers198
Pisymboldancers27 q Pisymboldancers113 Ccedil Pisymboldancers199
Pisymboldancers28 r Pisymboldancers114 Egrave Pisymboldancers200
Pisymboldancers29 s Pisymboldancers115 Eacute Pisymboldancers201
Pisymboldancers30 t Pisymboldancers116 Ecirc Pisymboldancers202
Pisymboldancers31 u Pisymboldancers117 Euml Pisymboldancers203
Pisymboldancers32 v Pisymboldancers118 Igrave Pisymboldancers204
Pisymboldancers33 w Pisymboldancers119 Iacute Pisymboldancers205
(continued on next page)
203
(continued from previous page)
Pisymboldancers34 x Pisymboldancers120 Icirc Pisymboldancers206
Pisymboldancers35 y Pisymboldancers121 Iuml Pisymboldancers207
$ Pisymboldancers36 z Pisymboldancers122 ETH Pisymboldancers208
Pisymboldancers37 Pisymboldancers123 Ntilde Pisymboldancers209
amp Pisymboldancers38 | Pisymboldancers124 Ograve Pisymboldancers210
Pisymboldancers39 Pisymboldancers125 Oacute Pisymboldancers211
( Pisymboldancers40 ~ Pisymboldancers126 Ocirc Pisymboldancers212
) Pisymboldancers41 Pisymboldancers127 Otilde Pisymboldancers213
Pisymboldancers42 Pisymboldancers128 Ouml Pisymboldancers214
+ Pisymboldancers43 Pisymboldancers129 times Pisymboldancers215
Pisymboldancers44 Pisymboldancers130 Oslash Pisymboldancers216
- Pisymboldancers45 Pisymboldancers131 Ugrave Pisymboldancers217
Pisymboldancers46 Pisymboldancers132 Uacute Pisymboldancers218
Pisymboldancers47 Pisymboldancers133 Ucirc Pisymboldancers219
0 Pisymboldancers48 Pisymboldancers134 Uuml Pisymboldancers220
1 Pisymboldancers49 Pisymboldancers135 Yacute Pisymboldancers221
2 Pisymboldancers50 Pisymboldancers136 THORN Pisymboldancers222
3 Pisymboldancers51 Pisymboldancers137 szlig Pisymboldancers223
4 Pisymboldancers52 Pisymboldancers138 agrave Pisymboldancers224
5 Pisymboldancers53 Pisymboldancers139 aacute Pisymboldancers225
6 Pisymboldancers54 Pisymboldancers140 acirc Pisymboldancers226
7 Pisymboldancers55 Pisymboldancers141 atilde Pisymboldancers227
8 Pisymboldancers56 Pisymboldancers142 auml Pisymboldancers228
9 Pisymboldancers57 Pisymboldancers143 aring Pisymboldancers229
Pisymboldancers58 Pisymboldancers144 aelig Pisymboldancers230
Pisymboldancers59 Pisymboldancers145 ccedil Pisymboldancers231
lt Pisymboldancers60 Pisymboldancers146 egrave Pisymboldancers232
= Pisymboldancers61 Pisymboldancers147 eacute Pisymboldancers233
gt Pisymboldancers62 Pisymboldancers148 ecirc Pisymboldancers234
Pisymboldancers63 Pisymboldancers149 euml Pisymboldancers235
Pisymboldancers64 Pisymboldancers150 igrave Pisymboldancers236
A Pisymboldancers65 Pisymboldancers151 iacute Pisymboldancers237
B Pisymboldancers66 Pisymboldancers152 icirc Pisymboldancers238
C Pisymboldancers67 Pisymboldancers153 iuml Pisymboldancers239
D Pisymboldancers68 Pisymboldancers154 eth Pisymboldancers240
(continued on next page)
204
(continued from previous page)
E Pisymboldancers69 Pisymboldancers155 ntilde Pisymboldancers241
F Pisymboldancers70 Pisymboldancers156 ograve Pisymboldancers242
G Pisymboldancers71 Pisymboldancers157 oacute Pisymboldancers243
H Pisymboldancers72 Pisymboldancers158 ocirc Pisymboldancers244
I Pisymboldancers73 Pisymboldancers159 otilde Pisymboldancers245
J Pisymboldancers74 Pisymboldancers160 ouml Pisymboldancers246
K Pisymboldancers75 iexcl Pisymboldancers161 divide Pisymboldancers247
L Pisymboldancers76 cent Pisymboldancers162 oslash Pisymboldancers248
M Pisymboldancers77 pound Pisymboldancers163 ugrave Pisymboldancers249
N Pisymboldancers78 curren Pisymboldancers164 uacute Pisymboldancers250
O Pisymboldancers79 yen Pisymboldancers165 ucirc Pisymboldancers251
P Pisymboldancers80 brvbar Pisymboldancers166 uuml Pisymboldancers252
Q Pisymboldancers81 sect Pisymboldancers167 yacute Pisymboldancers253
R Pisymboldancers82 uml Pisymboldancers168 thorn Pisymboldancers254
S Pisymboldancers83 copy Pisymboldancers169 yuml Pisymboldancers255
T Pisymboldancers84 ordf Pisymboldancers170
U Pisymboldancers85 laquo Pisymboldancers171
Fans of Sherlock Holmes mysteries will recognize these glyphs as forming thesubstitution cipher featured in Sir Arthur Conan Doylersquos The Adventure of theDancing Men (1903)
Table 517 semaphor Semaphore Alphabet
Pisymbolsmfpr1034 t Pisymbolsmfpr10116 yuml Pisymbolsmfpr10184
Pisymbolsmfpr1035 u Pisymbolsmfpr10117 ź Pisymbolsmfpr10185
$ Pisymbolsmfpr1036 v Pisymbolsmfpr10118 ž Pisymbolsmfpr10186
Pisymbolsmfpr1042 w Pisymbolsmfpr10119 ż Pisymbolsmfpr10187
Pisymbolsmfpr1046 x Pisymbolsmfpr10120 Agrave Pisymbolsmfpr10192
$0 Pisymbolsmfpr1048 y Pisymbolsmfpr10121 Aacute Pisymbolsmfpr10193
$1 Pisymbolsmfpr1049 z Pisymbolsmfpr10122 Acirc Pisymbolsmfpr10194
$2 Pisymbolsmfpr1050 ˜ Pisymbolsmfpr10126 Atilde Pisymbolsmfpr10195
$3 Pisymbolsmfpr1051 Ă Pisymbolsmfpr10128 Auml Pisymbolsmfpr10196
$4 Pisymbolsmfpr1052 Ą Pisymbolsmfpr10129 Aring Pisymbolsmfpr10197
$5 Pisymbolsmfpr1053 Ć Pisymbolsmfpr10130 Ccedil Pisymbolsmfpr10199
$6 Pisymbolsmfpr1054 Č Pisymbolsmfpr10131 Egrave Pisymbolsmfpr10200
$7 Pisymbolsmfpr1055 Ď Pisymbolsmfpr10132 Eacute Pisymbolsmfpr10201
$8 Pisymbolsmfpr1056 Ě Pisymbolsmfpr10133 Ecirc Pisymbolsmfpr10202
$9 Pisymbolsmfpr1057 Ę Pisymbolsmfpr10134 Euml Pisymbolsmfpr10203
(continued on next page)
205
(continued from previous page)
A Pisymbolsmfpr1065 Ğ Pisymbolsmfpr10135 Igrave Pisymbolsmfpr10204
B Pisymbolsmfpr1066 Ĺ Pisymbolsmfpr10136 Iacute Pisymbolsmfpr10205
C Pisymbolsmfpr1067 Ľ Pisymbolsmfpr10137 Icirc Pisymbolsmfpr10206
D Pisymbolsmfpr1068 Ł Pisymbolsmfpr10138 Iuml Pisymbolsmfpr10207
E Pisymbolsmfpr1069 Ń Pisymbolsmfpr10139 Ntilde Pisymbolsmfpr10209
F Pisymbolsmfpr1070 Ň Pisymbolsmfpr10140 Ograve Pisymbolsmfpr10210
G Pisymbolsmfpr1071 Ő Pisymbolsmfpr10142 Oacute Pisymbolsmfpr10211
H Pisymbolsmfpr1072 Ŕ Pisymbolsmfpr10143 Ocirc Pisymbolsmfpr10212
I Pisymbolsmfpr1073 Ř Pisymbolsmfpr10144 Otilde Pisymbolsmfpr10213
J Pisymbolsmfpr1074 Ś Pisymbolsmfpr10145 Ouml Pisymbolsmfpr10214
K Pisymbolsmfpr1075 Š Pisymbolsmfpr10146 Oslash Pisymbolsmfpr10216
L Pisymbolsmfpr1076 Ş Pisymbolsmfpr10147 Ugrave Pisymbolsmfpr10217
M Pisymbolsmfpr1077 Ť Pisymbolsmfpr10148 Uacute Pisymbolsmfpr10218
N Pisymbolsmfpr1078 Ţ Pisymbolsmfpr10149 Ucirc Pisymbolsmfpr10219
O Pisymbolsmfpr1079 Ű Pisymbolsmfpr10150 Uuml Pisymbolsmfpr10220
P Pisymbolsmfpr1080 Ů Pisymbolsmfpr10151 Yacute Pisymbolsmfpr10221
Q Pisymbolsmfpr1081 Ÿ Pisymbolsmfpr10152 agrave Pisymbolsmfpr10224
R Pisymbolsmfpr1082 Ź Pisymbolsmfpr10153 aacute Pisymbolsmfpr10225
S Pisymbolsmfpr1083 Ž Pisymbolsmfpr10154 acirc Pisymbolsmfpr10226
T Pisymbolsmfpr1084 Ż Pisymbolsmfpr10155 atilde Pisymbolsmfpr10227
U Pisymbolsmfpr1085 İ Pisymbolsmfpr10157 auml Pisymbolsmfpr10228
V Pisymbolsmfpr1086 đ Pisymbolsmfpr10158 aring Pisymbolsmfpr10229
W Pisymbolsmfpr1087 ă Pisymbolsmfpr10160 ccedil Pisymbolsmfpr10231
X Pisymbolsmfpr1088 ą Pisymbolsmfpr10161 egrave Pisymbolsmfpr10232
Y Pisymbolsmfpr1089 ć Pisymbolsmfpr10162 eacute Pisymbolsmfpr10233
Z Pisymbolsmfpr1090 č Pisymbolsmfpr10163 ecirc Pisymbolsmfpr10234
a Pisymbolsmfpr1097 ď Pisymbolsmfpr10164 euml Pisymbolsmfpr10235
b Pisymbolsmfpr1098 ě Pisymbolsmfpr10165 igrave Pisymbolsmfpr10236
c Pisymbolsmfpr1099 ę Pisymbolsmfpr10166 iacute Pisymbolsmfpr10237
d Pisymbolsmfpr10100 ğ Pisymbolsmfpr10167 icirc Pisymbolsmfpr10238
e Pisymbolsmfpr10101 ĺ Pisymbolsmfpr10168 iuml Pisymbolsmfpr10239
f Pisymbolsmfpr10102 ľ Pisymbolsmfpr10169 ntilde Pisymbolsmfpr10241
g Pisymbolsmfpr10103 ł Pisymbolsmfpr10170 ograve Pisymbolsmfpr10242
h Pisymbolsmfpr10104 ń Pisymbolsmfpr10171 oacute Pisymbolsmfpr10243
i Pisymbolsmfpr10105 ň Pisymbolsmfpr10172 ocirc Pisymbolsmfpr10244
j Pisymbolsmfpr10106 ő Pisymbolsmfpr10174 otilde Pisymbolsmfpr10245
k Pisymbolsmfpr10107 ŕ Pisymbolsmfpr10175 ouml Pisymbolsmfpr10246
l Pisymbolsmfpr10108 ř Pisymbolsmfpr10176 oslash Pisymbolsmfpr10248
m Pisymbolsmfpr10109 ś Pisymbolsmfpr10177 ugrave Pisymbolsmfpr10249
n Pisymbolsmfpr10110 š Pisymbolsmfpr10178 uacute Pisymbolsmfpr10250
o Pisymbolsmfpr10111 ş Pisymbolsmfpr10179 ucirc Pisymbolsmfpr10251
p Pisymbolsmfpr10112 ť Pisymbolsmfpr10180 uuml Pisymbolsmfpr10252
q Pisymbolsmfpr10113 ţ Pisymbolsmfpr10181 yacute Pisymbolsmfpr10253
r Pisymbolsmfpr10114 ű Pisymbolsmfpr10182
s Pisymbolsmfpr10115 ů Pisymbolsmfpr10183
206
semaphor provides a semaffd font-definition file Instead of using pifont andPisymbol to typeset a glyph a document can select the semaphor fonts di-rectly although this does require putting inputsemaffd in the documentrsquospreamble For example usefontOT1smfpmnHello will typesetldquoHellordquo This can be useful for typesetting complete messages Romanbold monospace slanted and bold+slanted styles are all supported
In addition semaphor provides three variations of each font a ldquopersonrdquo version(smfpr10) which is what is illustrated in the preceding table a ldquopillarrdquo version(smfr10) which shows the flags on a pillar rather than being held by a personand an ldquoemptyrdquo version (smfer10) which shows only the flags and no pillaror person Contrast these variations of the letter ldquoHrdquo
H vs H vs H(person) (pillar) (empty)
Table 518 cryst Crystallography Symbols
Pisymbolcryst0 Pisymbolcryst63 Pisymbolcryst138
Pisymbolcryst2 Pisymbolcryst64 Pisymbolcryst139
Pisymbolcryst3 A Pisymbolcryst65 Pisymbolcryst140
Pisymbolcryst4 B Pisymbolcryst66 Pisymbolcryst141
Pisymbolcryst5 K Pisymbolcryst75 Pisymbolcryst142
Pisymbolcryst6 M Pisymbolcryst77 Pisymbolcryst143
Pisymbolcryst7 N Pisymbolcryst78 Pisymbolcryst145
Pisymbolcryst8 O Pisymbolcryst79 Pisymbolcryst147
Pisymbolcryst9 P Pisymbolcryst80 Pisymbolcryst148
Pisymbolcryst10 Q Pisymbolcryst81 Pisymbolcryst149
Pisymbolcryst12 R Pisymbolcryst82 Pisymbolcryst155
Pisymbolcryst15 S Pisymbolcryst83 Pisymbolcryst157
Pisymbolcryst20 T Pisymbolcryst84 Pisymbolcryst158
Pisymbolcryst21 U Pisymbolcryst85 Pisymbolcryst159
Pisymbolcryst22 W Pisymbolcryst87 macr Pisymbolcryst175
Pisymbolcryst24 X Pisymbolcryst88 plusmn Pisymbolcryst177
Pisymbolcryst25 Y Pisymbolcryst89 sup2 Pisymbolcryst178
Pisymbolcryst27 _ Pisymbolcryst95 sup3 Pisymbolcryst179
Pisymbolcryst28 a Pisymbolcryst97 sup1 Pisymbolcryst185
Pisymbolcryst29 b Pisymbolcryst98 raquo Pisymbolcryst187
Pisymbolcryst30 c Pisymbolcryst99 frac14 Pisymbolcryst188
Pisymbolcryst31 f Pisymbolcryst102 frac12 Pisymbolcryst189
Pisymbolcryst32 g Pisymbolcryst103 Atilde Pisymbolcryst195
Pisymbolcryst35 h Pisymbolcryst104 Aring Pisymbolcryst197
$ Pisymbolcryst36 i Pisymbolcryst105 AElig Pisymbolcryst198
Pisymbolcryst37 k Pisymbolcryst107 Ccedil Pisymbolcryst199
amp Pisymbolcryst38 l Pisymbolcryst108 Ecirc Pisymbolcryst202
Pisymbolcryst39 m Pisymbolcryst109 Euml Pisymbolcryst203
( Pisymbolcryst40 p Pisymbolcryst112 Igrave Pisymbolcryst204
) Pisymbolcryst41 q Pisymbolcryst113 Ograve Pisymbolcryst210
Pisymbolcryst42 x Pisymbolcryst120 Ocirc Pisymbolcryst212
+ Pisymbolcryst43 y Pisymbolcryst121 Otilde Pisymbolcryst213
(continued on next page)
207
(continued from previous page)
Pisymbolcryst44 Pisymbolcryst123 Uuml Pisymbolcryst220
- Pisymbolcryst45 | Pisymbolcryst124 Yacute Pisymbolcryst221
Pisymbolcryst47 Pisymbolcryst125 szlig Pisymbolcryst223
0 Pisymbolcryst48 Pisymbolcryst127 agrave Pisymbolcryst224
1 Pisymbolcryst49 Pisymbolcryst128 aelig Pisymbolcryst230
2 Pisymbolcryst50 Pisymbolcryst129 ccedil Pisymbolcryst231
7 Pisymbolcryst55 Pisymbolcryst130 egrave Pisymbolcryst232
9 Pisymbolcryst57 Pisymbolcryst131 eacute Pisymbolcryst233
Pisymbolcryst58 Pisymbolcryst132 igrave Pisymbolcryst236
Pisymbolcryst59 Pisymbolcryst133 eth Pisymbolcryst240
lt Pisymbolcryst60 Pisymbolcryst135 ntilde Pisymbolcryst241
= Pisymbolcryst61 Pisymbolcryst136 ograve Pisymbolcryst242
gt Pisymbolcryst62 Pisymbolcryst137 oacute Pisymbolcryst243
Table 519 dice Dice
1 Pisymboldice3d49 e Pisymboldice3d101 o Pisymboldice3d111
2 Pisymboldice3d50 f Pisymboldice3d102 p Pisymboldice3d112
3 Pisymboldice3d51 g Pisymboldice3d103 q Pisymboldice3d113
4 Pisymboldice3d52 h Pisymboldice3d104 r Pisymboldice3d114
5 Pisymboldice3d53 i Pisymboldice3d105 s Pisymboldice3d115
6 Pisymboldice3d54 j Pisymboldice3d106 t Pisymboldice3d116
a Pisymboldice3d97 k Pisymboldice3d107 u Pisymboldice3d117
b Pisymboldice3d98 l Pisymboldice3d108 v Pisymboldice3d118
c Pisymboldice3d99 m Pisymboldice3d109 w Pisymboldice3d119
d Pisymboldice3d100 n Pisymboldice3d110 x Pisymboldice3d120
dice defines its symbols at a very small design size Theglyphs shown above were scaled up by a factor of four usingDeclareFontShapeUdice3dmnlt-gt s[4] dice3d
An alternative to using Pisymbol to select a die rotation is to rely onsome cleverness in the kerning tables provided by the dice font The in-dividual digits ldquo1rdquo through ldquo6rdquo each produce the corresponding (2D) dieface usefontUdice3dmn2 2 1 produces ldquo2 2 1rdquo for exampleWhen followed by a letter ldquoardquo through ldquodrdquo those pairs are kerned to pro-duce a 3D die rotation with the digit specifying by the top face and the letterspecifying one of the four possible front faces sorted by increasing value For
example usefontUdice3dmn2a 2b 1d produces ldquoefdrdquo
208
Table 520 magic Trading Card Symbols
0 Pisymbolmagic48 6 Pisymbolmagic54 R Pisymbolmagic82
1 Pisymbolmagic49 7 Pisymbolmagic55 T Pisymbolmagic84
2 Pisymbolmagic50 8 Pisymbolmagic56 U Pisymbolmagic85
3 Pisymbolmagic51 9 Pisymbolmagic57 W Pisymbolmagic87
4 Pisymbolmagic52 B Pisymbolmagic66 X Pisymbolmagic88
5 Pisymbolmagic53 G Pisymbolmagic71 Z Pisymbolmagic90
The preceding symbols resemble those from Wizards of the Coastrsquos MagicThe Gathering trading-card game An alternative to entering sym-bols numerically using Pisymbol is to switch to the magic font withusefontUmagicmn and employ the following mnemonic characters
0ndash9 0ndash9 Circled numerals 0ndash9
B B Black magic symbol
G G Green magic symbol
R R Red magic symbol
T T Tap symbol (tilted ldquoTrdquo in a circle)
U U Blue magic symbol
W W White magic symbol
X X Circled ldquoXrdquo (for mana cost eg Fireball)
Z Z Circled ldquo10rdquo (for mana cost eg Aladdinrsquos Lamp)
Table 521 bartel-chess-fonts Chess Pieces and Chessboard Squares
Pisymbolfselch0 7 Pisymbolfselch55 n Pisymbolfselch110
Pisymbolfselch1 8 Pisymbolfselch56 o Pisymbolfselch111
Pisymbolfselch2 9 Pisymbolfselch57 p Pisymbolfselch112
Pisymbolfselch3 Pisymbolfselch58 q Pisymbolfselch113
Pisymbolfselch4 Pisymbolfselch59 r Pisymbolfselch114
Pisymbolfselch5 lt Pisymbolfselch60 s Pisymbolfselch115
Pisymbolfselch6 = Pisymbolfselch61 t Pisymbolfselch116
Pisymbolfselch7 gt Pisymbolfselch62 u Pisymbolfselch117
Pisymbolfselch8 Pisymbolfselch63 v Pisymbolfselch118
Pisymbolfselch9 Pisymbolfselch64 w Pisymbolfselch119
Pisymbolfselch10 A Pisymbolfselch65 x Pisymbolfselch120
Pisymbolfselch11 B Pisymbolfselch66 y Pisymbolfselch121
Pisymbolfselch12 C Pisymbolfselch67 z Pisymbolfselch122
13 Pisymbolfselch13 D Pisymbolfselch68 Pisymbolfselch123
Pisymbolfselch14 E Pisymbolfselch69 | Pisymbolfselch124
Pisymbolfselch15 F Pisymbolfselch70 Pisymbolfselch125
Pisymbolfselch16 G Pisymbolfselch71 ~ Pisymbolfselch126
Pisymbolfselch17 H Pisymbolfselch72 Pisymbolfselch127
Pisymbolfselch18 I Pisymbolfselch73 Pisymbolfselch128
Pisymbolfselch19 J Pisymbolfselch74 Pisymbolfselch129
(continued on next page)
209
(continued from previous page)
Pisymbolfselch20 K Pisymbolfselch75 Pisymbolfselch130
Pisymbolfselch21 L Pisymbolfselch76 Pisymbolfselch131
Pisymbolfselch22 M Pisymbolfselch77 Pisymbolfselch132
Pisymbolfselch23 N Pisymbolfselch78 Pisymbolfselch133
Pisymbolfselch24 O Pisymbolfselch79 Pisymbolfselch134
Pisymbolfselch25 P Pisymbolfselch80 Pisymbolfselch135
Pisymbolfselch26 Q Pisymbolfselch81 Pisymbolfselch136
Pisymbolfselch27 R Pisymbolfselch82 Pisymbolfselch137
Pisymbolfselch28 S Pisymbolfselch83 Pisymbolfselch138
Pisymbolfselch29 T Pisymbolfselch84 Pisymbolfselch139
Pisymbolfselch30 U Pisymbolfselch85 Pisymbolfselch140
Pisymbolfselch31 V Pisymbolfselch86 Pisymbolfselch141
Pisymbolfselch32 W Pisymbolfselch87 Pisymbolfselch142
Pisymbolfselch33 X Pisymbolfselch88 Pisymbolfselch143
Pisymbolfselch34 Y Pisymbolfselch89 Pisymbolfselch144
Pisymbolfselch35 Z Pisymbolfselch90 Pisymbolfselch145
$ Pisymbolfselch36 [ Pisymbolfselch91 Pisymbolfselch151
Pisymbolfselch37 Pisymbolfselch92 Pisymbolfselch157
amp Pisymbolfselch38 ] Pisymbolfselch93 pound Pisymbolfselch163
Pisymbolfselch39 ^ Pisymbolfselch94 copy Pisymbolfselch169
( Pisymbolfselch40 _ Pisymbolfselch95 macr Pisymbolfselch175
) Pisymbolfselch41 ` Pisymbolfselch96 acute Pisymbolfselch180
Pisymbolfselch42 a Pisymbolfselch97 ordm Pisymbolfselch186
+ Pisymbolfselch43 b Pisymbolfselch98 Agrave Pisymbolfselch192
Pisymbolfselch44 c Pisymbolfselch99 AElig Pisymbolfselch198
- Pisymbolfselch45 d Pisymbolfselch100 Igrave Pisymbolfselch204
Pisymbolfselch46 e Pisymbolfselch101 Ograve Pisymbolfselch210
Pisymbolfselch47 f Pisymbolfselch102 Oslash Pisymbolfselch216
0 Pisymbolfselch48 g Pisymbolfselch103 THORN Pisymbolfselch222
1 Pisymbolfselch49 h Pisymbolfselch104 auml Pisymbolfselch228
2 Pisymbolfselch50 i Pisymbolfselch105 ecirc Pisymbolfselch234
3 Pisymbolfselch51 j Pisymbolfselch106 eth Pisymbolfselch240
4 Pisymbolfselch52 k Pisymbolfselch107 ouml Pisymbolfselch246
5 Pisymbolfselch53 l Pisymbolfselch108
6 Pisymbolfselch54 m Pisymbolfselch109
In addition to the fselch font showcased above bartel-chess-fonts also providesa pkelch font which includes the same symbol set (minus some of the higher-numbered characters) but drawn in a slightly different style
bartel-chess-fonts provides the fselch and pkelch fonts in various sizes (op-tically scaled) See ldquoLATEX 2120576 Font Selectionrdquo [LAT00] for advice on howto expose these sorts of fonts to LATEX using DeclareFontFamily andDeclareFontShape
210
10 Additional Information
Unlike the previous sections of this document Section 10 does not contain new symbol tables Ratherit provides additional help in using the Comprehensive LATEX Symbol List First it draws attention tosymbol names used by multiple packages Next it provides some guidelines for finding symbols and givessome examples regarding how to construct missing symbols out of existing ones Then it comments onthe spacing surrounding symbols in math mode After that it presents an ASCII and Latin 1 quick-reference guide showing how to enter all of the standard ASCIILatin 1 symbols in LATEX And finallyit lists some statistics about this document itself
101 Symbol Name Clashes
Unfortunately a number of symbol names are not unique they appear in more than one packageDepending on how the symbols are defined in each package LATEX will either output an error message orreplace an earlier-defined symbol with a later-defined symbol Table 522 on the following page presentsa selection of name clashes that appear in this document
Using multiple symbols with the same name in the same documentmdashor even merely loading conflictingsymbol packagesmdashcan be tricky but as evidenced by the existence of Table 522 not impossible Thegeneral procedure is to load the first package rename the conflicting symbols and then load the secondpackage Examine the LATEX source for this document (symbolstex) for examples of this and othertechniques for handling symbol conflicts Note that symbolstexrsquos savesymbol and restoresymbol
macros have been extracted into the savesym package which can be downloaded from CTANtxfonts and pxfonts redefine a huge number of symbolsmdashessentially all of the symbols defined by
latexsym textcomp the various 119964ℳ119982 symbol sets and LATEX 2120576 itself Similarly mathabx redefines avast number of math symbols in an attempt to improve their look The txfonts pxfonts and mathabxconflicts are not listed in Table 522 because they are designed to be compatible with the symbols theyreplace Table 523 on page 213 illustrates what ldquocompatiblerdquo means in this context
To use the new txfontspxfonts symbols without altering the documentrsquos main font merely reset thedefault font families back to their original values after loading one of those packages
renewcommandrmdefaultcmr
renewcommandsfdefaultcmss
renewcommandttdefaultcmtt
102 Resizing symbols
Mathematical symbols listed in this document as ldquovariable-sizedrdquo are designed to stretch verticallyEach variable-sized symbol comes in one or more basic sizes plus a variation comprising both stretchableand nonstretchable segments Table 524 on page 213 presents the symbols and uparrow in theirdefault size in their big Big bigg and Bigg sizes in an even larger size achieved using leftright andmdashfor contrastmdashin a large size achieved by changing the font size using LATEX 2120576rsquos fontsizecommand Because the symbols shown belong to the Computer Modern family the type1cm packageneeds to be loaded to support font sizes larger than 2488 pt
Note how fontsize makes the symbol wider and thicker (The graphicx packagersquos scalebox
or resizebox commands would produce a similar effect) Also the fontsize-enlarged symbol isvertically centered relative to correspondingly large text unlike the symbols enlarged using big et alor leftright which all use the same math axis regardless of symbol size However fontsize isnot limited to mathematical delimiters Also scalebox and resizebox are more robust to poorlycomposed symbols (eg two symbols made to overlap by backspacing a fixed distance) but do not workwith every TEX backend and will produce jagged symbols when scaling a bitmapped font
All variable-sized delimiters are defined (by the corresponding tfm file) in terms of up to five seg-ments as illustrated by Figure 1 on page 213 The top middle and bottom segments are of a fixedsize The top-middle and middle-bottom segments (which are constrained to be the same character) arerepeated as many times as necessary to achieve the desired height
103 Where can I find the symbol for
If you canrsquot find some symbol yoursquore looking for in this document there are a few possible explanations
211
Table
522
Sym
bol
Nam
eC
lash
es
Sym
bol
LAT
EX
2 120576119964ℳ119982
stmaryrd
wasysym
mathabx
marvosym
bbding
ifsym
dingb
atwsuipa
baro
lt
bigtriangledown
`
bigtriangleup
a
checkmark
XD
Circle
5
Cross
ggg
≫Iuml
Letter
B
lightning
Lightning
E
lll
≪Icirc
Square
f
0Sun
Agrave
TriangleDown
o3
TriangleUp
n1
212
Table 523 Example of a Benign Name Clash
Default txfontsSymbol (Computer Modern) (Times Roman)
R R Rtextrecipe
Table 524 Sample resized delimiters
Symbol Default size big Big bigg Bigg left right fontsize
⎫⎪⎪⎪⎪⎪⎪⎪⎬⎪⎪⎪⎪⎪⎪⎪⎭
uparrow uarr⎮ ⎮⎮ ⎮⎮⎮
⎮⎮⎮⎮
⎮⎮⎮⎮⎮⎮⎮⎮⎮⎮⎮⎮uarr
⎫⎪⎪⎪⎪⎪⎪⎪⎪⎪⎪⎪⎪⎪⎪⎪⎪⎪⎪⎪⎬⎪⎪⎪⎪⎪⎪⎪⎪⎪⎪⎪⎪⎪⎪⎪⎪⎪⎪⎪⎭
minusrarr
⎫ top
⎪ top-middle (extensible)
⎬ middle
⎪ middle-bottom (extensible)
⎭ bottom
Figure 1 Implementation of variable-sized delimiters
213
bull The symbol isnrsquot intuitively named As a few examples the ifsym command to draw dice is ldquoCuberdquoa plus sign with a circle around it (ldquoexclusive orrdquo to computer engineers) is ldquooplusrdquo and lightningbolts in fonts designed by German speakers may have ldquoblitzrdquo in their names as in the ulsy packageThe moral of the story is to be creative with synonyms when searching the index
bull The symbol is defined by some package that I overlooked (or deemed unimportant) If therersquos somesymbol package that you think should be included in the Comprehensive LATEX Symbol List pleasesend me e-mail at the address listed on the title page
bull The symbol isnrsquot defined in any package whatsoever
Even in the last case all is not lost Sometimes a symbol exists in a font but there is no LATEXbinding for it For example the PostScript Symbol font contains a ldquocrarrrdquo symbol which may be usefulfor representing a carriage return but there is no package (as far as I know) for accessing that symbolTo produce an unnamed symbol you need to switch to the font explicitly with LATEX 2120576rsquos low-levelfont commands [LAT00] and use TEXrsquos primitive char command [Knu86a] to request a specific characternumber in the font For example one can define a command to typeset a long s (ldquo ſ rdquo) using character 115from the Latin Modern fonts in the TS1 font encoding
newcommandtextlongs
fontencodingTS1fontfamilylmrselectfontchar115
Then ldquotextlongs uccetextlongs sfulrdquo will produce ldquoſucceſsfulrdquomdashin the current font style (romanitalic bold etc)
In fact char is not strictly necesssary in all cases the character can often be entered symbolicallyFor example the symbol for an impulse train or Tate-Shafarevich group (ldquoXrdquo) is actually an uppercasesha in the Cyrillic alphabet (Cyrillic is supported by the OT2 font encoding for instance) While a shacan be defined numerically as ldquofontencodingOT2selectfontchar88rdquo it may be more intuitiveto use the OT2 font encodingrsquos ldquoSHrdquo ligature ldquofontencodingOT2selectfont SHrdquo Anotherpossibility is to use the T2A font encodingrsquos CYRSH command ldquofontencodingT2AselectfontCYRSHrdquo
For the specific case of the U font encoding which is used for symbol or ldquopirdquo fonts the pifont packagedefines a convenient Pisymbol command Pisymbol typesets a specified character (by number) in aspecified font family For example ldquoPisymbolpsy191rdquo produces the aforementioned ldquocrarrrdquo symbolby typesetting character number 191 in the psy (PostScript Symbol) font family
Reflecting and rotating existing symbols
A common request on comptexttex is for a reversed or rotated version of an existing symbol Asa last resort these effects can be achieved with the graphicx (or graphics) packagersquos reflectbox
and rotatebox macros For example textsuperscriptreflectbox produces an ironymark (ldquo rdquo) and rotatebox[origin=c]180$iota$ produces the definite-description opera-tor (ldquo 120580rdquo) As noted by Marc Olschok in a July 2011 post on comptexttex Project Gutenberg usesreflectbox to typeset the part (ldquo3rdquo) and whole (ldquo 3rdquo) relations used in Dedekindrsquos set notation
newcommandpartofmathrelraisebox045ex$mathfrak3$
newcommandwholeofmathrelreflectbox$partof$
The disadvantage of the graphicxgraphics approach is that not every TEX backend handles graphicaltransformations5 Far better is to find a suitable font that contains the desired symbol in the correctorientation For instance if the phonetic package is available then textitriota will yield a backend-independent ldquordquo Similarly tiparsquos textrevepsilon (ldquo3rdquo) or wsuiparsquos revepsilon (ldquordquo) may be usedto express the mathematical notion of ldquosuch thatrdquo in a cleaner manner than with reflectbox orrotatebox6
5As an example Xdvi ignores both reflectbox and rotatebox6More common symbols for representing ldquosuch thatrdquo include ldquo|rdquo ldquordquo and ldquostrdquo
214
Joining and overlapping existing symbols
Symbols that do not exist in any font can sometimes be fabricated out of existing symbols The LATEX 2120576source file fontdefdtx contains a number of such definitions For example models (see Table 88 onpage 48) is defined in that file with
defmodelsmathrel|joinrel=
where mathrel and joinrel are used to control the horizontal spacing def is the TEX primitiveupon which LATEXrsquos newcommand is based See The TEXbook [Knu86a] for more information on all threeof those commands
With some simple pattern-matching one can easily define a backward models sign (ldquo=|rdquo)
defismodeledby=joinrelmathrel|
In general arrowsharpoons horizontal lines (ldquo=rdquo ldquo-rdquo ldquorelbarrdquo and ldquoRelbarrdquo) and the variousmath-extension characters can be combined creatively with miscellaneous other characters to produce avariety of new symbols Of course new symbols can be composed from any set of existing charactersFor instance LATEX defines hbar (ldquo~rdquo) as a ldquomacrrdquo character (mathcharrsquo26) followed by a backspace of9 math units (mkern-9mu) followed by the letter ldquoℎrdquo
defhbarmathcharrsquo26mkern-9muh
We can just as easily define other barred letters
defbbarmathcharrsquo26mkern-9mu b
defdbarmathcharrsquo26mkern-12mu d
(The space after the ldquomurdquo is optional but is added for clarity) bbar and dbar define ldquo119887rdquo and ldquo119889rdquorespectively Note that dbar requires a greater backward math kern than bbar a minus9 mu kern wouldhave produced the less-attractive ldquordquo glyph
The amsmath package provides overset and underset commands for placing one symbol respec-
tively above or below another For example oversetGsim7 produces ldquo119866simrdquo (sometimes used for
ldquoequidecomposable with respect to 119866rdquo)Sometimes an ordinary tabular environment can be co-opted into juxtaposing existing symbols
into a new symbol Consider the following definition of asterism (ldquo rdquo) from a June 2007 post tocomptexttex by Peter Flynn
newcommandasterismsmash
raisebox-5ex
setlengthtabcolsep-5pt
begintabularcc
multicolumn2c[-2ex]amp
endtabular
Note how the space between columns (tabcolsep) and rows ([ ]) is made negative to squeeze theasterisks closer together
There is a TEX primitive called mathaccent that centers one mathematical symbol atop anotherFor example one can define dotcup (ldquo middotcuprdquo)mdashthe composition of a cup and a cdotmdashas follows
newcommanddotcupensuremathmathaccentcdotcup
The catch is that mathaccent requires the accent to be a ldquomath characterrdquo That is it must be a charac-ter in a math font as opposed to a symbol defined in terms of other symbols See The TEXbook [Knu86a]for more information
Another TEX primitive that is useful for composing symbols is vcenter vcenter is conceptuallysimilar to ldquobegintabularlrdquo in LATEX but takes a list of vertical material instead of -separatedrows Also it vertically centers the result on the math axis (Many operators such as ldquo+rdquo and ldquominusrdquoare also vertically centered on the math axis) Enrico Gregorio posted the following symbol definition tocomptexttex in March 2004 in response to a query about an alternate way to denote equivalence
7LATEXrsquos stackrel command is similar but is limited to placing a symbol above a binary relation
215
newcommandthreesim
mathrelvcenteroffinterlineskip
hbox$sim$vskip-35exhbox$sim$vskip-35exhbox$sim$
The threesim symbol which vertically centers three sim (ldquosimrdquo) symbols with 035 119909-heights of spacebetween them is rendered as ldquosimsimsimrdquo offinterlineskip is a macro that disables implicit interlinespacing Without it threesim would have a full line of vertical spacing between each sim Becauseof vcenter threesim aligns properly with other math operators 119886divide 119887 simsimsim 119888times 119889
A related LATEX command borrowed from Plain TEX is ooalign ooalign vertically overlapssymbols and works both within and outside of math mode Essentially it creates a single-columntabular environment with zero vertical distance between rows However because it is based directly onTEXrsquos ialign primitive ooalign uses TEXrsquos tabular syntax instead of LATEXrsquos (ie with cr as therow terminator instead of ) The following example of ooalign a macro that defines a standard-state symbol (stst ldquominus∘ rdquo) as a superscripted Plimsoll line (barcirc ldquominus∘rdquo)8 is due to an October 2007comptexttex post by Donald Arseneau
makeatletter
providecommandbarcircmathpalettebarredcirc
defbarred12ooalignhfil$1-$hfilcrhfil$12$hfilcr
newcommandstst^protectbarcirc
makeatother
In the preceding code note the ooalign callrsquos use of hfil to horizontally center a minus sign (ldquominusrdquo)and a circ (ldquo∘rdquo)
As another example of ooalign consider the following code (due to Enrico Gregorio in a June 2007post to comptexttex) that overlaps a ni (ldquonirdquo) and two minus signs (ldquominusminusrdquo) to produce ldquoniminusminusrdquo anobscure variation on the infrequently used ldquo3rdquo symbol for ldquosuch thatrdquodiscussed on page 214
newcommandsuchthat
mathrelooalign$ni$crkern-1pt$-$kern-65pt$-$
The slashed package although originally designed for producing Feynman slashed-character notationin fact facilitates the production of arbitrary overlapped symbols The default behavior is to overwritea given character with ldquordquo For example slashedD produces ldquo 119863rdquo However the declareslashed
command provides the flexibility to specify the mathematical context of the composite character (opera-tor relation punctuation etc as will be discussed in Section 104) the overlapping symbol horizontaland vertical adjustments in symbol-relative units and the character to be overlapped Consider forexample the symbol for reduced quadrupole moment (ldquo-119868rdquo) This can be declared as follows
newcommandrqm
declareslashedtext-0040IslashedI
declareslashedmiddotmiddotmiddotmiddotI affects the meaning of all subsequent slashedI commands in thesame scope The preceding definition of rqm therefore uses an extra set of curly braces to limit thatscope to a single slashedI In addition rqm uses amstextrsquos text macro (described on page 218) tomake declareslashed use a text-mode hyphen (ldquo-rdquo) instead of a math-mode minus sign (ldquominusrdquo) and toensure that the hyphen scales properly in size in subscripts and superscripts See slashedrsquos documentation(located in slashedsty itself) for a detailed usage description of the slashed and declareslashed
commandsSomewhat simpler than slashed is the centernot package centernot provides a single command
centernot which like not puts a slash over the subsequent mathematical symbol However insteadof putting the slash at a fixed location centernot centers the slash over its argument centernot
might be used for example to create a ldquodoes not implyrdquo symbol
=rArr notLongrightarrow
vs
=rArr centernotLongrightarrow
See the centernot documentation for more information8While barcirc illustrates how to combine symbols using ooalign the stmaryrd packagersquos minuso command (Table 52
on page 29) provides a similar glyph (ldquordquo) as a single indivisible symbol
216
Making new symbols work in superscripts and subscripts
To make composite symbols work properly within subscripts and superscripts you may need to useTEXrsquos mathchoice primitive mathchoice evaluates one of four expressions based on whether thecurrent math style is display text script or scriptscript (See The TEXbook [Knu86a] for a morecomplete description) For example the following LATEX codemdashposted to comptexttex by TorstenBrongermdashcomposes a subsuperscriptable ldquoperp⊤rdquo symbol out of top and bot (ldquo⊤rdquo and ldquoperprdquo)
deftopbotatom1hboxhbox to 0pt$1bot$hss$1top$
newcommandtopbotmathrelmathchoicetopbotatomdisplaystyle
topbotatomtextstyle
topbotatomscriptstyle
topbotatomscriptscriptstyle
The following is another example that uses mathchoice to construct symbols in different mathmodes The code defines a principal value integral symbol which is an integral sign with a line throughit
defXint1mathchoice
XXintdisplaystyletextstyle1
XXinttextstylescriptstyle1
XXintscriptstylescriptscriptstyle1
XXintscriptscriptstylescriptscriptstyle1
int
defXXint123setbox0=hbox$123int$
vcenterhbox$23$kern-5wd0
defddashintXint=
defdashintXint-
(The preceding code was taken verbatim from the UK TEX Usersrsquo Group FAQ at httpwwwtexacukfaq) dashint produces a single-dashed integral sign (ldquominus
intrdquo) while ddashint produces a double-dashed
one (ldquo=int
rdquo) The Xint macro defined above can also be used to generate a wealth of new integrals ldquoint
rdquo(Xintcirclearrowright) ldquo
intrdquo (Xintcirclearrowleft) ldquosub
intrdquo (Xintsubset) ldquoinfin
intrdquo (Xintinfty)
and so forthLATEX 2120576 provides a simple wrapper for mathchoice that sometimes helps produce terser sym-
bol definitions The macro is called mathpalette and it takes two arguments mathpalette in-vokes the first argument passing it one of ldquodisplaystylerdquo ldquotextstylerdquo ldquoscriptstylerdquo orldquoscriptscriptstylerdquo followed by the second argument mathpalette is useful when a symbol macromust know which math style is currently in use (eg to set it explicitly within an mbox) Donald Arse-neau posted the following mathpalette-based definition of a probabilistic-independence symbol (ldquoperpperprdquo)to comptexttex in June 2000
newcommandindependentprotectmathpaletteprotectindependenTperp
defindependenT12mathrelrlap$12$mkern2mu12
The independent macro uses mathpalette to pass the independenT helper macro both the currentmath style and the perp symbol independenT typesets perp in the current math style moves twomath units to the right and finally typesets a secondmdashoverlappingmdashcopy of perp again in the currentmath style rlap which enables text overlap is described on the following page
Some people like their square-root signs with a trailing ldquohookrdquo (ie ldquoradic
rdquo) as this helps visually
distinguish expressions like ldquoradic
3119909 rdquo from those like ldquoradic
3119909rdquo In March 2002 Dan Luecking posted a
mathpalette-based definition of a hooked square-root symbol to comptexttex This code was sub-
sequently refined by Max Dohse and Scott Pakin into the version shown below which accepts a root as
an optional argument for consistency with sqrt
newcommandhksqrt[2][]mathpaletteDHLhksqrt[1]2
defDHLhksqrt12setbox0=hbox$1sqrt2$dimen0=ht0
advancedimen0-02ht0
setbox2=hboxvrule heightht0 depth -dimen0
box0lower04ptbox2
217
Notice how hksqrt uses mathpalette to pass the current math style (displaystyle textstyleetc) to DHLhksqrt as argument 1 DHLhksqrt subsequently uses that style within an hbox The restof the code is simply using TEX primitives to position a hook of height 02 times the sqrt height at theright of the sqrt See The TEXbook [Knu86a] for more understanding of TEX ldquoboxesrdquo and ldquodimensrdquo
Sometimes however amstextrsquos text macro is all that is necessary to make composite symbolsappear correctly in subscripts and superscripts as in the following definitions of neswarrow (ldquordquo) andnwsearrow (ldquordquo)9
newcommandneswarrowmathreltext$nearrow$llap$swarrow$
newcommandnwsearrowmathreltext$nwarrow$llap$searrow$
text resembles LATEXrsquos mbox command but shrinks its argument appropriately when used within asubscript or superscript llap (ldquoleft overlaprdquo) and its counterpart rlap (ldquoright overlaprdquo) appearfrequently when creating composite characters llap outputs its argument to the left of the currentposition overlapping whatever text is already there Similarly rlap overlaps whatever text wouldnormally appear to the right of its argument For example ldquoAllapBrdquo and ldquorlapABrdquo each produceldquoABrdquo However the result of the former is the width of ldquoArdquo and the result of the latter is the width ofldquoBrdquomdashllap and rlap take up zero space
In a June 2002 post to comptexttex Donald Arseneau presented a general macro for aligning anarbitrary number of symbols on their horizontal centers and vertical baselines
makeatletter
defmoverlaymathpalettemovrlay
defmovrlay12leavevmodevtop
baselineskipzskip lineskiplimit-maxdimen
ialignhfil$1$hfilcr2crcr
makeatother
The makeatletter and makeatother commands are needed to coerce LATEX into accepting ldquordquo aspart of a macro name moverlay takes a list of symbols separated by cr (TEXrsquos equivalent of LATEXrsquos) For example the topbot command defined on the previous page could have been expressed asldquomoverlaytopcrbotrdquo and the neswarrow command defined above could have been expressed asldquomoverlaynearrowcrswarrowrdquo
The basic concept behind moverlayrsquos implementation is that moverlay typesets the given symbolsin a table that utilizes a zero baselineskip This causes every row to be typeset at the same verticalposition See The TEXbook [Knu86a] for explanations of the TEX primitives used by moverlay
Modifying LATEX-generated symbols
Oftentimes symbols composed in the LATEX 2120576 source code can be modified with minimal effort toproduce useful variations For example fontdefdtx composes the ddots symbol (see Table 269 onpage 110) out of three periods raised 7 pt 4 pt and 1 pt respectively
defddotsmathinnermkern1muraise7p
vboxkern7phboxmkern2mu
raise4phboxmkern2muraisephboxmkern1mu
p is a LATEX 2120576 shortcut for ldquoptrdquo or ldquo10ptrdquo The remaining commands are defined in TheTEXbook [Knu86a] To draw a version of ddots with the dots going along the opposite diagonalwe merely have to reorder the raise7p raise4p and raisep
makeatletter
defrevddotsmathinnermkern1muraisep
vboxkern7phboxmkern2mu
raise4phboxmkern2muraise7phboxmkern1mu
makeatother
revddots is essentially identical to the mathdots packagersquos iddots command or the yhmath packagersquosadots command
9Note that if your goal is to typeset commutative diagrams or pushoutpullback diagrams then you should probablybe using XY-pic
218
Producing complex accents
Accents are a special case of combining existing symbols to make new symbols While various tables inthis document show how to add an accent to an existing symbol some applications such as translit-erations from non-Latin alphabets require multiple accents per character For instance the creator ofpdfTEX writes his name as ldquoHan Thacutee Thanhrdquo The dblaccnt package enables LATEX to stack accents asin ldquoHlsquoan Thrsquo^e Thlsquoanhrdquo (albeit not in the OT1 font encoding) In addition the wsuipa packagedefines diatop and diaunder macros for putting one or more diacritics or accents above or below agiven character For example diaunder[diatop[rsquo|=]|textsubdotr] produces ldquoacuter
˙rdquo See the
wsuipa documentation for more informationThe accents package facilitates the fabrication of accents in math mode Its accentset command
enables any character to be used as an accent For instance accentsetstarf produces ldquo⋆
119891 rdquo and
accentseteX produces ldquo119890
119883rdquo underaccent does the same thing but places the accent beneaththe character This enables constructs like underaccenttildeV which produces ldquo
˜119881 rdquo accents
provides other accent-related features as well see the documentation for more information
Creating extensible symbols
A relatively simple example of creating extensible symbols stems from a comptexttex post by DonaldArseneau (June 2003) The following code defines an equals sign that extends as far to the right aspossible just like LATEXrsquos hrulefill command
makeatletter
defequalsfill$mthmathord=mkern-7mu
cleadershbox$mathord=$hfill
mkern-7mumathord=$
makeatother
TEXrsquos cleaders and hfill primitives are the key to understanding equalsfillrsquos extensi-bility Essentially equalsfill repeats a box containing ldquo=rdquo plus some negative space un-til it fills the maximum available horizontal space equalsfill is intended to be usedwith LATEXrsquos stackrel command which stacks one mathematical expression (slightly re-
duced in size) atop another Hence ldquostackrelarightarrowrdquo produces ldquo119886rarrrdquo and ldquoX
stackreltextdefinitionhboxequalsfill Yrdquo produces ldquo119883definition======= 119884 rdquo
If all that needs to extend are horizontal and vertical linesmdashas opposed to repeated symbols suchas the ldquo=rdquo in the previous examplemdashLATEXrsquos array or tabular environments may suffice Considerthe following code (due to a February 1999 comptexttex post by Donald Arseneau and subsequentmodifications by Billy Yu and Scott Pakin) for typesetting annuity and life-insurance symbols
DeclareRobustCommandactuarial[2][]
defarraystretch0
setlengtharraycolsep05pt
setlengtharrayrulewidth05pt
setbox0=hbox$scriptstyle12$
beginarray[b]2gtscriptstylec|
cline2-2
rule[125pt]0ptht0
1 amp 2
endarray
Using the preceding definition one can type eg ldquo$a_actuarialn$rdquo to produce ldquo119886119899rdquo andldquo$a_actuarial[x]n$rdquo to produce ldquo119886119909119899rdquo This is similar in concept to how the actuarialanglepackage defines its actuarialangle command (Table 255)
A more complex example of composing accents is the following definition of extensible overbracketunderbracket overparenthesis and underparenthesis symbols taken from a May 2002comptexttex post by Donald Arseneau
makeatletter
defoverbracket1mathopvboxialigncrcrnoalignkern3p
219
downbracketfillcrcrnoalignkern3pnointerlineskip
$hfildisplaystyle1hfil$crcrlimits
defunderbracket1mathopvtopialigncrcr
$hfildisplaystyle1hfil$crcrnoalignkern3pnointerlineskip
upbracketfillcrcrnoalignkern3plimits
defoverparenthesis1mathopvboxialigncrcrnoalignkern3p
downparenthfillcrcrnoalignkern3pnointerlineskip
$hfildisplaystyle1hfil$crcrlimits
defunderparenthesis1mathopvtopialigncrcr
$hfildisplaystyle1hfil$crcrnoalignkern3pnointerlineskip
upparenthfillcrcrnoalignkern3plimits
defdownparenthfill$mthbraceldleadersvrulehfillbracerd$
defupparenthfill$mthbraceluleadersvrulehfillbraceru$
defupbracketfill$mthmakesmshllapvruleheight3pwidth7p
leadersvruleheight7phfill
makesmshrlapvruleheight3pwidth7p$
defdownbracketfill$mth
makesmshllapvruleheight7pdepth23pwidth7p
leadersvruleheight7phfill
makesmshrlapvruleheight7pdepth23pwidth7p$
makeatother
Table 525 showcases these accents The TEXbook [Knu86a] or another book on TEX primitives is indis-pensible for understanding how the preceding code works The basic idea is that downparenthfillupparenthfill downbracketfill and upbracketfill do all of the work they output a left sym-bol (eg braceld [ldquo⏞rdquo] for downparenthfill) a horizontal rule that stretches as wide as possi-ble and a right symbol (eg bracerd [ldquo rdquo] for downparenthfill) overbracket underbracketoverparenthesis and underparenthesis merely create a table whose width is determined by thegiven text thereby constraining the width of the horizontal rules
Table 525 Manually Composed Extensible Accents
119886119887119888 overbracketabc⏞ 119886119887119888 overparenthesisabc
119886119887119888 underbracketabc 119886119887119888⏟ underparenthesisabc
Note that the simplewick package provides mechanisms for typesetting Wick contractions whichutilize overbracket- and underbracket-like brackets of variable width and height (or depth) For ex-ample ldquoacontractionABCacontraction[2ex]ABCDbcontractionABCDABCDrdquo produces
119860119861119862119863
See the simplewick documentation for more information
Developing new symbols from scratch
Sometimes is it simply not possible to define a new symbol in terms of existing symbols Fortunatelymost if not all TEX distributions are shipped with a tool called METAFONT which is designed specif-ically for creating fonts to be used with TEX The METAFONTbook [Knu86b] is the authoritativetext on METAFONT If you plan to design your own symbols with METAFONT The METAFONTbookis essential reading You may also want to read the freely available METAFONT primer located athttpmetafonttutorialfreefr The following is an extremely brief tutorial on how to create anew LATEX symbol using METAFONT Its primary purpose is to cover the LATEX-specific operations notmentioned in The METAFONTbook and to demonstrate that symbol-font creation is not necessarily adifficult task
Suppose we need a symbol to represent a light bulb (ldquoArdquo)10 The first step is to draw this in META-FONT It is common to separate the font into two files a size-dependent file which specifies the design
10Irsquom not a very good artist yoursquoll have to pretend that ldquoArdquo looks like a light bulb
220
size and various font-specific parameters that are a function of the design size and a size-independentfile which draws characters in the given size Figure 2 shows the METAFONT code for lightbulb10mflightbulb10mf specifies various parameters that produce a 10 pt light bulb then loads lightbulbmfIdeally one should produce lightbulb⟨size⟩mf files for a variety of ⟨size⟩s This is called ldquoopticalscalingrdquo It enables for example the lines that make up the light bulb to retain the same thicknessat different font sizes which looks much nicer than the alternativemdashand defaultmdashldquomechanical scalingrdquoWhen a lightbulb⟨size⟩mf file does not exist for a given size ⟨size⟩ the computer mechanically producesa wider taller thicker symbol
A vs A vs A vs A vs A vs A vs A10 pt 20 pt 30 pt 40 pt 50 pt 60 pt 70 pt
font identifier = LightBulb10 Name the fontfont size 10pt Specify the design size
em = 10pt ldquoMrdquo width is 10 pointscap = 7pt Capital letter height is 7 points above the baselinesb = 14pt Leave this much space on the side of each character119900 = 116pt Amount that curves overshoot borders
input lightbulb Load the file that draws the actual glyph
Figure 2 Sample METAFONT size-specific file (lightbulb10mf)
lightbulbmf shown in Figure 3 draws a light bulb using the parameters defined inlightbulb10mf Note that the the filenames ldquolightbulb10mfrdquo and ldquolightbulbmfrdquo do not followthe Berry font-naming scheme [Ber01] the Berry font-naming scheme is largely irrelevant for symbolfonts which generally lack bold italic small-caps slanted and other such variants
The code in Figures Figure 2 and Figure 3 is heavily commented and should demonstrate some of thebasic concepts behind METAFONT usage declaring variables defining points drawing lines and curvesand preparing to debug or fine-tune the output Again The METAFONTbook [Knu86b] is the definitivereference on METAFONT programming
METAFONT can produce ldquoproofsrdquo of fontsmdashlarge labeled versions that showcase the logical struc-ture of each character In fact proof mode is METAFONTrsquos default mode To produce a proof oflightbulb10mf issue the following commands at the operating-system prompt
promptgt mf lightbulb10mf lArr Produces lightbulb102602gf
promptgt gftodvi lightbulb102602gf lArr Produces lightbulb10dvi
You can then view lightbulb10dvi with any DVI viewer The result is shown in Figure 4 Observehow the grid defined with makegrid at the bottom of Figure 3 draws vertical lines at positions 0 sb1199082 and 119908minus sb and horizontal lines at positions 0 minus1pt 1199102 and ℎ Similarly observe how the penlabelscommand labels all of the important coordinates 1199111 1199112 1199118 and 11991167 which lightbulbmf defines tolie between 1199116 and 1199117
Most if not all TEX distributions include a Plain TEX file called testfonttex that is useful fortesting new fonts in a variety of ways One useful routine produces a table of all of the characters in thefont
promptgt tex testfontThis is TeX Version 314159 (Web2C 731)
(usrsharetexmftexplainbasetestfonttex
Name of the font to test = lightbulb10Now type a test command (help for help))
∖table
∖bye
221
mode setup Target a given printer
define pixels(em cap sb) Convert to device-specific unitsdefine corrected pixels(119900) Same but add a device-specific fudge factor
Define a light bulb at the character position for ldquoArdquo with width 12em height cap and depth 1ptbeginchar(A 12em cap 1pt) A light bulb
pickup pencircle scaled 12pt Use a pen with a small circular tip
Define the points we needtop 1199111 = (1199082 ℎ+ 119900) 1199111 is at the top of a circlert 1199112 = (119908 + sb + 119900minus 1199094 1199104) 1199112 is at the same height as 1199114 but the opposite sidebot 1199113 = (1199111 minus (0 119908 minus sbminus 119900)) 1199113 is at the bottom of the circlelft 1199114 = (sbminus 119900 12[1199101 1199103]) 1199114 is on the left of the circlepath bulb Define a path for the bulb itselfbulb = 1199111 1199112 1199113 1199114 cycle The bulb is a closed path
1199115 = point 2minus 13of bulb 1199115 lies on the bulb a little to the right of 11991131199116 = (1199095 0) 1199116 is at the bottom directly under 11991151199117 = (1199098 0) 1199117 is at the bottom directly under 11991181199118 = point 2 + 13of bulb 1199118 lies on the bulb a little to the left of 1199113bot 11991167 = (12[1199096 1199097] pen botminus 119900minus 18pt) 11991167 lies halfway between 1199116 and 1199117 but a jot
lower
Draw the bulb and the basedraw bulb Draw the bulb properdraw 1199115 - - 1199116 11991167 1199117 - - 1199118 Draw the base of the bulb
Display key positions and points to help us debugmakegrid(0 sb 1199082 119908 minus sb)(0minus1pt 1199102 ℎ) Label ldquointerestingrdquo 119909 and 119910 coordinatespenlabels(1 2 3 4 5 6 67 7 8) Label control points for debugging
endcharend
Figure 3 Sample METAFONT size-independent file (lightbulbmf)
1
2
3
4
5
6677
8
Figure 4 Proof diagram of lightbulb10mf
222
[1]
Output written on testfontdvi (1 page 1516 bytes)
Transcript written on testfontlog
The resulting table stored in testfontdvi and illustrated in Figure 5 shows every character in thefont To understand how to read the table note that the character code for ldquoArdquomdashthe only characterdefined by lightbulb10mfmdashis 41 in hexadecimal (base 16) and 101 in octal (base 8)
Test of lightbulb10 on March 11 2003 at 1127
0 1 2 3 4 5 6 710x A
˝4x11x
˝8 ˝9 ˝A ˝B ˝C ˝D ˝E ˝F
Figure 5 Font table produced by testfonttex
The LightBulb10 font is now usable by TEX LATEX 2120576 however needs more information beforedocuments can use the font First we create a font-description file that tells LATEX 2120576 how to map fontsin a given font family and encoding to a particular font in a particular font size For symbol fontsthis mapping is fairly simple Symbol fonts almost always use the ldquoUrdquo (ldquoUnknownrdquo) font encodingand frequently occur in only one variant normal weight and non-italicized The filename for a font-description file important it must be of the form ldquo⟨encoding⟩⟨family⟩fdrdquo where ⟨encoding⟩ is thelowercase version of the encoding name (typically ldquourdquo for symbol fonts) and ⟨family⟩ is the name ofthe font family For LightBulb10 letrsquos call this ldquobulbrdquo Figure 6 lists the contents of ubulbfd Thedocument ldquoLATEX 2120576 Font Selectionrdquo [LAT00] describes DeclareFontFamily and DeclareFontShape indetail but the gist of ubulbfd is first to declare a U-encoded version of the bulb font family and then tospecify that a LATEX 2120576 request for a U-encoded version of bulb with a (m)edium font series (as opposedto eg bold) and a (n)ormal font shape (as opposed to eg italic) should translate into a TEX requestfor lightbulb10tfm mechanically scaled to the current font size
DeclareFontFamilyUbulb
DeclareFontShapeUbulbmnlt-gt lightbulb10
Figure 6 LATEX 2120576 font-description file (ubulbfd)
The final step is to write a LATEX 2120576 style file that defines a name for each symbol in the font Becausewe have only one symbol our style file lightbulbsty (Figure 7) is rather trivial Note that instead oftypesetting ldquoArdquo we could have had lightbulb typeset ldquochar65rdquo ldquochar41rdquo or ldquocharrsquo101rdquo (respec-tively decimal hexadecimal and octal character offsets into the font) For a simple one-character symbolfont such as LightBulb10 it would be reasonable to merge ubulbfd into lightbulbsty instead of main-taining two separate files In either case a document need only include ldquousepackagelightbulbrdquo tomake the lightbulb symbol available
newcommandlightbulbusefontUbulbmnA
Figure 7 LATEX 2120576 style file (lightbulbsty)
METAFONT normally produces bitmapped fonts However it is also possible with the help of someexternal tools to produce PostScript Type 1 fonts These have the advantages of rendering better inAdobereg Acrobatreg (at least in versions prior to 60) and of being more memory-efficient when handledby a PostScript interpreter See httpwwwtexacukcgi-bintexfaq2htmllabel=textrace forpointers to tools that can produce Type 1 fonts from METAFONT
223
104 Math-mode spacing
Terms such as ldquobinary operatorsrdquo ldquorelationsrdquo and ldquopunctuationrdquo in Section 3 primarily regard thesurrounding spacing (See the Short Math Guide for LATEX [Dow00] for a nice exposition on thesubject) To use a symbol for a different purpose you can use the TEX commands mathordmathop mathbin mathrel mathopen mathclose and mathpunct For example if youwant to use downarrow as a variable (an ldquoordinaryrdquo symbol) instead of a delimiter you can writeldquo$3 x + mathorddownarrow$rdquo to get the properly spaced ldquo3119909+darrrdquo rather than the awkward-lookingldquo3119909+ darrrdquo Similarly to create a dotted-union symbol (ldquocuprdquo) that spaces like the ordinary set-union symbol(cup) it must be defined with mathbin just as cup is Contrast ldquo$A dotcup B$rdquo (ldquo119860cup119861rdquo) withldquo$A mathbindotcup B$rdquo (ldquo119860 cup 119861rdquo) See The TEXbook [Knu86a] for the definitive descriptionof math-mode spacing
The purpose of the ldquolog-like symbolsrdquo in Table 181 and Table 182 is to provide the correct amountof spacing around and within multiletter function names Table 526 contrasts the output of the log-like symbols with various naıve alternatives In addition to spacing the log-like symbols also handlesubscripts properly For example ldquomax_p in Prdquo produces ldquomax119901isin119875 rdquo in text but ldquomax
119901isin119875rdquo as part of
a displayed formula
Table 526 Spacing AroundWithin Log-like Symbols
LATEX expression Output
$r sin theta$ 119903 sin 120579 (best)$r sin theta$ 119903119904119894119899120579$r mboxsin theta$ 119903sin120579$r mathrmsin theta$ 119903sin120579
The amsmath package makes it straightforward to define new log-like symbols
DeclareMathOperatoratanatan
DeclareMathOperatorlcmlcm
The difference between DeclareMathOperator and DeclareMathOperator involves the handling ofsubscripts With DeclareMathOperator subscripts are written beneath log-like symbols in displaystyle and to the right in text style This is useful for limit operators (eg lim) and functions thattend to map over a set (eg min) In contrast DeclareMathOperator tells TEX that subscriptsshould always be displayed to the right of the operator as is common for functions that take a singleparameter (eg log and cos) Table 527 contrasts symbols declared with DeclareMathOperator
and DeclareMathOperator in both text style ($ $) and display style ([ ])11
Table 527 Defining new log-like symbols
Declaration function $newlogsym p in P$ [ newlogsym p in P ]
DeclareMathOperator newlogsym119901isin119875 newlogsym119901isin119875
DeclareMathOperator newlogsym119901isin119875 newlogsym119901isin119875
It is common to use a thin space () between the words of a multiword operators as inldquoDeclareMathOperatorargmaxargmaxrdquo liminf limsup and all of the log-like symbolsshown in Table 182 utilize this spacing convention
105 Bold mathematical symbols
LATEX does not normally use bold symbols when typesetting mathematics However bold sym-bols are occasionally needed for example when naming vectors Any of the approaches described at
11Note that displaystyle can be used to force display style within $ $ and textstyle can be used to force text stylewithin [ ]
224
httpwwwtexacukcgi-bintexfaq2htmllabel=boldgreek can be used to produce bold mathe-matical symbols Table 528 contrasts the output produced by these various techniques As the tableillustrates these techniques exhibit variation in their formatting of Latin letters (upright vs italic) for-matting of Greek letters (bold vs normal) formatting of operators and relations (bold vs normal) andspacing
Table 528 Producing bold mathematical symbols
Package Code Output
none $alpha + b = Gamma div D$ 120572+ 119887 = Γdivide119863 (no bold)none $mathbfalpha + b = Gamma div D$ 120572+ b = ΓdivideDnone boldmath$alpha + b = Gamma div D$ 120572 + 119887 = Γ divide 119863amsbsy $pmbalpha + b = Gamma div D$ 120572+ 119887 = Γdivide119863120572+ 119887 = Γdivide119863120572+ 119887 = Γdivide119863 (faked bold)amsbsy $boldsymbolalpha + b = Gamma div D$ 120572 + 119887 = Γ divide 119863bm $bmalpha + b = Gamma div D$ 120572+ 119887 = Γdivide119863fixmath $mathboldalpha + b = Gamma div D$ 120572 + 119887 = 120548 divide 119863
106 ASCII and Latin 1 quick reference
Table 529 amalgamates data from various other tables in this document into a convenient referencefor LATEX 2120576 typesetting of ASCII characters ie the characters available on a typical US computerkeyboard The first two columns list the characterrsquos ASCII code in decimal and hexadecimal The thirdcolumn shows what the character looks like The fourth column lists the LATEX 2120576 command to typesetthe character as a text character And the fourth column lists the LATEX 2120576 command to typeset thecharacter within a texttt command (or more generally when ttfamily is in effect)
Table 529 LATEX 2120576 ASCII Table
Dec Hex Char Body text texttt
33 21
34 22 textquotedbl
35 23
36 24 $ $ $
37 25
38 26 amp amp amp
39 27 rsquo rsquo rsquo
40 28 ( ( (
41 29 ) ) )
42 2A
43 2B + + +
44 2C
45 2D - - -
46 2E
47 2F
48 30 0 0 0
49 31 1 1 1
50 32 2 2 2
57 39 9 9 9
58 3A
59 3B
60 3C lt textless lt
61 3D = = =
Dec Hex Char Body text texttt
62 3E gt textgreater gt
63 3F
64 40
65 41 A A A
66 42 B B B
67 43 C C C
90 5A Z Z Z
91 5B [ [ [
92 5C ∖ textbackslash charlsquo
93 5D ] ] ]
94 5E ^ ^ ^
95 5F _ charlsquo_
96 60 lsquo lsquo lsquo
97 61 a a a
98 62 b b b
99 63 c c c
122 7A z z z
123 7B charlsquo
124 7C | textbar |
125 7D charlsquo
126 7E ˜ ~ ~
225
The following are some additional notes about the contents of Table 529
bull ldquordquo is not available in the OT1 font encoding
bull Table 529 shows a close quote for character 39 for consistency with the open quote shown forcharacter 96 A straight quote can be typeset using textquotesingle (cf Table 46)
bull The characters ldquoltrdquo ldquogtrdquo and ldquo|rdquo do work as expected in math mode although they producerespectively ldquoiexclrdquo ldquoiquestrdquo and ldquomdashrdquo in text mode when using the OT1 font encoding12 The followingare some alternatives for typesetting ldquoltrdquo ldquogtrdquo and ldquo|rdquo
ndash Specify a document font encoding other than OT1 (as described on page 12)
ndash Use the appropriate symbol commands from Table 2 on page 14 viz textlesstextgreater and textbar
ndash Enter the symbols in math mode instead of text mode ie $lt$ $gt$ and $|$
Note that for typesetting metavariables many people prefer textlangle and textrangle totextless and textgreater ie ldquo⟨filename⟩rdquo instead of ldquoltfilenamegtrdquo
bull Although ldquordquo does not require any special treatment LATEX additionally defines a slash commandwhich outputs the same glyph but permits a line break afterwards That is ldquoincreasedecreaserdquois always typeset as a single entity while ldquoincreaseslashdecreaserdquo may be typeset withldquoincreaserdquo on one line and ldquodecreaserdquo on the next
bull textasciicircum can be used instead of ^ and textasciitilde can be used instead of~ Note that textasciitilde and ~ produce raised diacritic tildes ldquoTextrdquo (ie verticallycentered) tildes can be generated with either the math-mode sim command (shown in Table 88on page 48) which produces a somewhat wide ldquosimrdquo or the textcomp packagersquos texttildelow
(shown in Table 46 on page 27) which produces a vertically centered ldquo~rdquo in most fonts but abaseline-oriented ldquo~rdquo in Computer Modern txfonts pxfonts and various other fonts originatingfrom the TEX world If your goal is to typeset tildes in URLs or Unix filenames your best bet isto use the url package which has a number of nice features such as proper line-breaking of suchnames
bull The various char commands within texttt are necessary only in the OT1 font encoding Inother encodings (eg T1) commands such as _ and textbackslash all work properly
bull The code page 437 (IBM PC) version of ASCII characters 1 to 31 can be typeset using the asciipackage See Table 326 on page 126
bull To replace ldquolsquordquo and ldquorsquordquo with the more computer-like (and more visibly distinct) ldquo`rdquo and ldquordquo withina verbatim environment use the upquote package Outside of verbatim you can use char18
and char13 to get the modified quote characters (The former is actually a grave accent)
Similar to Table 529 Table 530 on the next page is an amalgamation of data from other tables inthis document While Table 529 shows how to typeset the 7-bit ASCII character set Table 530 showsthe Latin 1 (Western European) character set also known as ISO-8859-1
The following are some additional notes about the contents of Table 530
bull A ldquo(tc)rdquo after a symbol name means that the textcomp package must be loaded to access thatsymbol A ldquo(T1)rdquo means that the symbol requires the T1 font encoding The fontenc package canchange the font encoding document-wide
bull Many of the text accents can also be produced using the accent commands shown in Ta-ble 18 on page 20 plus an empty argument For instance = is essentially the same astextasciimacron
bull The commands in the ldquoLATEX 2120576rdquo columns work both in body text and within a texttt command (or more generally when ttfamily is in effect)
12Donald Knuth didnrsquot think such symbols were important outside of mathematics so he omitted them from his textfonts
226
Table 530 LATEX 2120576 Latin 1 Table
Dec Hex Char LATEX 2120576
161 A1 iexcl lsquo
162 A2 cent textcent (tc)163 A3 $ pounds
164 A4 curren textcurrency (tc)165 A5 yen textyen (tc)166 A6 brvbar textbrokenbar (tc)167 A7 sect S
168 A8 uml textasciidieresis (tc)169 A9 copy textcopyright
170 AA ordf textordfeminine
171 AB laquo guillemotleft (T1)172 AC not textlnot (tc)173 AD - -
174 AE reg textregistered
175 AF macr textasciimacron (tc)176 B0 deg textdegree (tc)177 B1 plusmn textpm (tc)178 B2 sup2 texttwosuperior (tc)179 B3 sup3 textthreesuperior (tc)180 B4 acute textasciiacute (tc)181 B5 micro textmu (tc)182 B6 para P
183 B7 middot textperiodcentered
184 B8 cedil c
185 B9 sup1 textonesuperior (tc)186 BA ordm textordmasculine
187 BB raquo guillemotright (T1)188 BC frac14 textonequarter (tc)189 BD frac12 textonehalf (tc)190 BE frac34 textthreequarters (tc)191 BF iquest lsquo
192 C0 A lsquoA
193 C1 A rsquoA
194 C2 A ^A
195 C3 A ~A
196 C4 A A
197 C5 A AA
198 C6 AElig AE
199 C7 C cC
200 C8 E lsquoE
201 C9 E rsquoE
202 CA E ^E
203 CB E E
204 CC I lsquoI
205 CD I rsquoI
206 CE I ^I
207 CF I I
208 D0 ETH DH (T1)
Dec Hex Char LATEX 2120576
209 D1 N ~N
210 D2 O lsquoO
211 D3 O rsquoO
212 D4 O ^O
213 D5 O ~O
214 D6 O O
215 D7 times texttimes (tc)216 D8 Oslash O
217 D9 U lsquoU
218 DA U rsquoU
219 DB U ^U
220 DC U U
221 DD Y rsquoY
222 DE THORN TH (T1)223 DF szlig ss
224 E0 a lsquoa
225 E1 a rsquoa
226 E2 a ^a
227 E3 a ~a
228 E4 a a
229 E5 a aa
230 E6 aelig ae
231 E7 c cc
232 E8 e lsquoe
233 E9 e rsquoe
234 EA e ^e
235 EB e e
236 EC ı lsquoı
237 ED ı rsquoı
238 EE ı ^ı
239 EF ı ı
240 F0 eth dh (T1)241 F1 n ~n
242 F2 o lsquoo
243 F3 o rsquoo
244 F4 o ^o
245 F5 o ~o
246 F6 o o
247 F7 divide textdiv (tc)248 F8 oslash o
249 F9 u lsquou
250 FA u rsquou
251 FB u ^u
252 FC u u
253 FD y rsquoy
254 FE thorn th (T1)255 FF y y
227
bull The ldquo$rdquo and ldquo$rdquo glyphs occupy the same slot (36) of the OT1 font encoding with ldquo$rdquo appearingin italic fonts and ldquo$rdquo appearing in roman fonts A problem with LATEXrsquos default handling ofthis double-mapping is that ldquosffamilyslshapepoundsrdquo produces ldquo$rdquo not ldquopoundrdquo Other fontencodings use separate slots for the two characters and are therefore robust to the problem ofldquo$rdquordquo$rdquo conflicts Authors who use pounds should select a font encoding other than OT1 (asexplained on page 12) or use the textcomp package which redefines pounds to use the TS1 fontencoding
bull Character 173 - is shown as ldquo-rdquo but is actually a discretionary hyphen it appears only at theend of a line
Microsoftreg Windowsreg normally uses a superset of Latin 1 called ldquoCode Page 1252rdquo or ldquoCP1252rdquofor short CP1252 introduces symbols in the Latin 1 ldquoinvalidrdquo range (characters 128ndash159) Table 531presents the characters with which CP1252 augments the standard Latin 1 table
Table 531 LATEX 2120576 Code Page 1252 Table
Dec Hex Char LATEX 2120576
128 80 euro texteuro (tc)130 82 sbquo quotesinglbase (T1)131 83 f textitf
132 84 bdquo quotedblbase (T1)133 85 dots
134 86 dagger dag
135 87 Dagger ddag
136 88 ^ textasciicircum
137 89 permil textperthousand (tc)138 8A S vS
139 8B lsaquo guilsinglleft (T1)140 8C ΠOE
142 8E Z vZ
Dec Hex Char LATEX 2120576
145 91 lsquo lsquo
146 92 rsquo rsquo
147 93 ldquo lsquolsquo
148 94 rdquo rsquorsquo
149 95 bull textbullet
150 96 ndash --
151 97 mdash ---
152 98 ˜ textasciitilde
153 99 trade texttrademark
154 9A s vs
155 9B rsaquo guilsinglright (T1)156 9C œ oe
158 9E z vz
159 9F Y Y
The following are some additional notes about the contents of Table 531
bull As in Table 530 a ldquo(tc)rdquo after a symbol name means that the textcomp package must be loaded toaccess that symbol A ldquo(T1)rdquo means that the symbol requires the T1 font encoding The fontencpackage can change the font encoding document-wide
bull Not all characters in the 128ndash159 range are defined
bull Look up ldquoeuro signsrdquo in the index for alternatives to texteuro
While too large to incorporate into this document a listing of ISO 88791986 SGMLXML characterentities and their LATEX equivalents is available from httpwwwbitjunglecomisoent Some of thecharacters presented there make use of isoent a LATEX 2120576 package (available from the same URL) thatfakes some of the missing ISO glyphs using the LATEX picture environment13
107 Unicode characters
Unicode is a ldquouniversal character setrdquomdasha standard for encoding (ie assigning unique numbers to) thesymbols appearing in many of the worldrsquos languages While ASCII can represent 128 symbols and Latin 1can represent 256 symbols Unicode can represent an astonishing 1114112 symbols
Because TEX and LATEX predate the Unicode standard and Unicode fonts by almost a decade supportfor Unicode has had to be added to the base TEX and LATEX systems Note first that LATEX distinguishesbetween input encodingmdashthe characters used in the tex filemdashand output encodingmdashthe characters thatappear in the generated dvi pdf etc file
13isoent is not featured in this document because it is not available from CTAN and because the faked symbols are notldquotruerdquo characters they exist in only one size regardless of the body textrsquos font size
228
Inputting Unicode characters
To include Unicode characters in a tex file load the ucs package and load the inputenc package with theutf8x (ldquoUTF-8 extendedrdquo) option14 These packages enable LATEX to translate UTF-8 sequences to LATEXcommands which are subsequently processed as normal For example the UTF-8 text ldquoCopyright copy2017rdquomdashldquocopyrdquo is not an ASCII character and therefore cannot be input directly without packages such asucsinputencmdashis converted internally by inputenc to ldquoCopyright textcopyright 2017rdquo and thereforetypeset as ldquoCopyright copy 2017rdquo
The ucsinputenc combination supports only a tiny subset of Unicodersquos million-plus sym-bols Additional symbols can be added manually using the DeclareUnicodeCharacter commandDeclareUnicodeCharacter takes two arguments a Unicode number and a LATEX command to exe-cute when the corresponding Unicode character is encountered in the input For example the Uni-code character ldquodegree celsiusrdquo (ldquo rdquo) appears at character position U+210315 However ldquo rdquo isnot one of the characters that ucs and inputenc recognize The following document shows how to useDeclareUnicodeCharacter to tell LATEX that the ldquo rdquo character should be treated as a synonym fortextcelsius
documentclassarticle
usepackageucs
usepackage[utf8x]inputenc
usepackagetextcomp
DeclareUnicodeCharacter2103textcelsius Enable direct input of U+2103
begindocument
It was a balmy 21enddocument
which produces
It was a balmy 21
See the ucs documentation for more information and for descriptions of the various options thatcontrol ucsrsquos behavior
Outputting Unicode characters
Orthogonal to the ability to include Unicode characters in a LATEX input file is the ability to include agiven Unicode character in the corresponding output file By far the easiest approach is to use X ELATEXinstead of pdfLATEX or ordinary LATEX X ELATEX handles Unicode input and output natively and canutilize system fonts directly without having to expose them via tfm fd and other such files Tooutput a Unicode character a X ELATEX document can either include that character directly as UTF-8text or use TEXrsquos char primitive which X ELATEX extends to accept numbers larger than 255
Suppose we want to output the symbols for versicle (ldquo rdquo) and response (ldquo rdquo) in a document TheUnicode charts list ldquoversiclerdquo at position U+2123 and ldquoresponserdquo at position U+211F We thereforeneed to install a font that contains those characters at their proper positions One such font thatis freely available from CTAN is Junicode (Junicodettf) from the junicode package The fontspecpackage makes it easy for a X ELATEX document to utilize a system font The following example definesa textjuni command that uses fontspec to typeset its argument in Junicode
documentclassarticle
usepackagefontspec
newcommandtextjuni[1]fontspecJunicode1
begindocument
We use lsquolsquotextjunichar2123rsquorsquo for a versicle
and lsquolsquotextjunichar211Frsquorsquo for a response
enddocument
14UTF-8 is the 8-bit Unicode Transformation Format a popular mechanism for representing Unicode symbol numbersas sequences of one to four bytes
15The Unicode convention is to express character positions as ldquoU+⟨hexadecimal number⟩rdquo
229
which produces
We use ldquo rdquo for a versicle and ldquo rdquo for a response
(Typesetting the entire document in Junicode would be even easier See the fontspec documentationfor more information regarding font selection) Note how the preceding example uses char to specifya Unicode character by number The double quotes before the number indicate that the number isrepresented in hexadecimal instead of decimal
108 About this document
History David Carlisle wrote the first version of this document in October 1994 It originally containedall of the native LATEX symbols (Table 50 Table 72 Table 88 Table 138 Table 181 Table 184 Table 218Table 219 Table 232 Table 240 Table 294 and a few tables that have since been reorganized) and wasdesigned to be nearly identical to the tables in Chapter 3 of Leslie Lamportrsquos book [Lam86] Even thetable captions and the order of the symbols within each table matched The 119964ℳ119982 symbols (Table 51Table 89 Table 90 Table 141 Table 142 Table 185 Table 194 Table 212 and Table 295) and an initialMath Alphabets table (Table 307) were added thereafter Later Alexander Holt provided the stmaryrdtables (Table 52 Table 74 Table 91 Table 144 Table 177 and Table 213)
In January 2001 Scott Pakin took responsibility for maintaining the symbol list and has sinceimplemented a complete overhaul of the document The result now called ldquoThe Comprehensive LATEXSymbol Listrdquo includes the following new features
bull the addition of a handful of new math alphabets dozens of new font tables and thousands of newsymbols
bull the categorization of the symbol tables into body-text symbols mathematical symbols science andtechnology symbols dingbats ancient languages and other symbols to provide a more user-friendlydocument structure
bull an index table of contents hyperlinks and a frequently-requested symbol list to help users quicklylocate symbols
bull symbol tables rewritten to list the symbols in alphabetical order
bull appendices providing additional information relevant to using symbols in LATEX
bull tables showing how to typeset all of the characters in the ASCII and Latin 1 font encodings
Furthermore the internal structure of the document has been completely altered from David Carlislersquosoriginal version Most of the changes are geared towards making the document easier to extend modifyand reformat
Build characteristics Table 532 on the following page lists some of this documentrsquos build charac-teristics Most important is the list of packages that LATEX couldnrsquot find but that symbolstex
otherwise would have been able to take advantage of Complete prebuilt versions of this docu-ment are available from CTAN (httpwwwctanorg or one of its many mirror sites) in the direc-tory tex-archiveinfosymbolscomprehensive Table 533 shows the package date (specified in thesty file with ProvidesPackage) for each package that was used to build this document and thatspecifies a package date Packages are not listed in any particular order in either Table 532 or Table 533
230
Table 532 Document Characteristics
Characteristic Value
Source file symbolstex
Build date January 19 2017Symbols documented 14283Packages included textcomp latexsym amssymb stmaryrd euscript
wasysym pifont manfnt bbding undertilde ifsym tipatipx extraipa wsuipa phonetic ulsy ar metre txfontsmathabx fclfont skak ascii dingbat skull eurosym esvectyfonts yhmath esint mathdots trsym universa upgreekoverrightarrow chemarr chemarrow nath trfsignsmathtools phaistos arcs vietnam t4phonet holtpoltsemtrans dictsym extarrows protosem harmony hieroglfcclicenses mathdesign arev MnSymbol fdsymbol boisikcmll extpfeil keystroke fge turnstile simpsons epsdicefeyn staves igo colonequals shuffle fourier dozenalpmboxdraw pigpen clock teubner linearA linearbcypriot sarabian china2e harpoon steinmetz milstdrecycle DotArrow ushort hhcount ogonek combelowmusixtex ccicons adfsymbols adforn bigints soyombotfrupee knitting textgreek begriff frege abracesCountriesOfEurope cookingsymbols prodint epiolmecmdwmath rsfso fontawesome stix hands greenpointnkarta astrosym webomints moonphase dancerssemaphor umranda umrandb cryst starfont tikzsymbolsdice apl go magic bartel-chess-fonts actuarialanglelilyglyphs knot bclogo bullcntr rubikcube svrsymbolshalloweenmath old-arrows allrunes emf esrelationaccents nicefrac bm junicode mathrsfs chanceryurwchancal calligra bbold mbboard dsfont bbm
Packages omitted none
Table 533 Package versions used in the preparation of this document
Name Date Name Date Name Date
textcomp 20160619 latexsym 19980817 amssymb 20130114stmaryrd 19940303 euscript 20090622 wasysym 20031030pifont 20050412 manfnt 19990701 bbding 19990415undertilde 20000808 ifsym 20000418 tipa 20020808tipx 20030101 wsuipa 19940716 ar 20120123metre 20011205 txfonts 20080122 mathabx 20030729skak 20130718 ascii 20060530 dingbat 20010427skull 20020123 eurosym 19980806 yfonts 20030108mathdots 20140611 trsym 20000625 universa 980801upgreek 20030212 chemarr 20160516 mathtools 20151112phaistos 20040423 arcs 20040509 t4phonet 20040601semtrans 19980210 dictsym 20040726 extarrows 20080515protosem 20050318 harmony 20070504 hieroglf 20150602cclicenses 20050520 MnSymbol 20070121 fdsymbol 20111101boisik 20090821 extpfeil 20091031 keystroke 20100423fge 20150519 turnstile 20070623 epsdice 20070215feyn 20091008 colonequals 20160516 shuffle 20081027dozenal 20150129 pmboxdraw 20160516 pigpen 20081207
(continued on next page)
231
(continued from previous page)
Name Date Name Date Name Date
clock 20010410 teubner 20160331 linearA 20060313linearb 20050622 cypriot 20090522 sarabian 20051112china2e 19970601 harpoon 19941102 steinmetz 20090614milstd 20090625 DotArrow 20070212 ushort 20010613hhcount 19950331 ogonek 950717 combelow 20100502musixtex 20010708 ccicons 20130416 adforn 20100725bigints 20100215 soyombo 19960901 tfrupee 20101215knitting 20100829 textgreek 20111009 frege 20120804abraces 20120824 CountriesOfEurope 20120418 cookingsymbols 20141228epiolmec 20031105 mdwmath 19960411 fontawesome 20160515stix 20150417 starfont 20100929 tikzsymbols 20161226bclogo 20160110 bullcntr 20070402 rubikcube 20150925svrsymbols 20160408 halloweenmath 20170106 emf 20160909accents 20060512 nicefrac 19980804 bm 20160707calligra 20120410
109 Copyright and license
The Comprehensive LATEX Symbol ListCopyright copy 2017 Scott Pakin
This work may be distributed andor modified under the conditions of the LATEX Project Public Licenseeither version 13c of this license or (at your option) any later version The latest version of this licenseis in
httpwwwlatex-projectorglppltxt
and version 13c or later is part of all distributions of LATEX version 20060520 or later
This work has the LPPL maintenance status ldquomaintainedrdquo
The current maintainer of this work is Scott Pakin
232
References
[AMS99] American Mathematical Society Userrsquos Guide for the amsmath Package (Version 20) De-cember 13 1999 Available from ftpftpamsorgpubtexdocamsmathamsldocpdf
[Ber01] Karl Berry Fontname Filenames for TEX fonts June 2001 Available from http
wwwctanorgtex-archiveinfofontname
[Che97] Raymond Chen A METAFONT of lsquoSimpsonsrsquo characters Baskerville 4(4)19 September1997 ISSN 1354-5930 Available from httptugctanorgusergrpsuktugbaskervi4 4bask4 4ps
[Dow00] Michael Downes Short math guide for LATEX July 19 2000 Version 107 Available fromhttpwwwamsorgtexshort-math-guidehtml
[Gib97] Jeremy Gibbons Heymdashit works TUGboat 18(2)75ndash78 June 1997 Available from http
wwwtugorgTUGboatArticlestb18-2tb55workspdf
[Gre09] Enrico Gregorio Appunti di programmazione in LATEX e TEX second edition June 2009Available from httpprofssciunivrit~gregoriointrotexpdf
[Knu86a] Donald E Knuth The TEXbook volume A of Computers and Typesetting Addison-WesleyReading MA USA 1986
[Knu86b] Donald E Knuth The METAFONTbook volume C of Computers and Typesetting Addison-Wesley Reading MA USA 1986
[Lam86] Leslie Lamport LATEX A document preparation system Addison-Wesley Reading MA USA1986
[LAT98] LATEX3 Project Team A new math accent LATEX News Issue 9 June 1998 Availablefrom httpwwwctanorgtex-archivemacroslatexdocltnews09pdf (also included inmany TEX distributions)
[LAT00] LATEX3 Project Team LATEX 2120576 font selection January 30 2000 Available from http
wwwctanorgtex-archivemacroslatexdocfntguidepdf (also included in many TEXdistributions)
233
Index
If yoursquore having trouble locating a symbol try looking under ldquoTrdquo for ldquotext rdquo Many text-mode commandsbegin with that prefix Also accents are shown overunder a gray box (eg ldquo a rdquo for ldquorsquordquo)
Some symbol entries appear to be listed repeatedly This happens when multiple packages define identical(or nearly identical) glyphs with the same symbol name16
Symbols
(a) 20
() 14 225
$ ($) 14 15 225
$ ($) 15
() 14 225
amp (amp) 14 34 225
rsquo (a) 20
( (() 96
( (() 97
( (
(
) 100
) ()) 96
) ()) 97
) (
)
) 100
() 30
224
- (-) 227 228
(a) 20
() 96
() 97
(
) 100
( ) 112
() 112
lt (⟨) 97
lt (
⟨
) 100
() 112
[ ([) 96
[ (⎡⎢⎢⎢⎢⎣) 97
[ (
[
) 100
216
] (]) 96
] (⎤⎥⎥⎥⎥⎦) 97
] (
]
) 100
^ (a) 20
^ (^) 14 226
| () 96
| () 96 98
| (iquesta) 20
= (a) 20= (macr) 226| (∣) 99
| (
RRRRRR) 97
| (
|
|
|
|
|
|
) 100| (|) 48 96 98 101( (() 99) ()) 99 () 99[ ([) 99_ 15_ ( ) 14 226 () 14 15 96 () 226 () 14 15 96 () 226] (]) 99lsquo (a) 20~ (a) 20~ (˜) 14 226
AA (A) 151A (ą) 151a (esvect package option) 106a (aacute) 151a (times
) 176a (a) 151
AA (A) 15aa (a) 15AAaleph (A) 142AAayin (O) 142AAbeth (B) 142
AAcht ( ˇ ldquo ˇ ldquo==
) 154AAdaleth (D) 142AAhe (E) 142AAhelmet (V) 142AAheth (h) 142AAkaph (K) 142AAlamed (L) 142Aaleph (a) 142AApe (P) 142AAqoph (Q) 142AAresh (R) 142AAsade (X) 142Aayin (o) 142AAyod (Y) 142AB (|) 125Abeth (b) 142abraces (package) 107 231 232absolute value see lvert and
rvert
abzuglich see textdiscount
AC () 121ac (eth) 55acarc 23acbar 23accents 20ndash25 102ndash107 110
154 219ndash220acute (a) 20ndash24 102any character as 219arc (a) 20ndash23 104ndash106breve (a) 20ndash24 102caron (a) 20 24 102 106cedilla (cedil) 20circumflex (a) 20ndash22 102104 105
comma-below (a ) 24Cyrillic breve (a) 20Cyrillic flex (a) 20Cyrillic umlaut (a) 20diaeligresis (a) 20 23 24102 120
dot (a or ) 20ndash22 102double acute (a) 20 24double grave (a) 20extensible 104ndash107 110219ndash220
grave (a) 20ndash24 102hacek see accents caron
hook (ả) 20Hungarian umlaut seeaccents double acute
inverted breve (a) 20krouzek see accents ringmacron (a) 20 23ndash25102 104 106
multiple per character 21ndash22 219
ogonek ( ˛) 20ndash24ring (a) 20ndash22 24 102103
Romanian comma-belo ac-cent see accentscomma-below
trema see accentsdiaeligresis
umlaut see accentsdiaeligresis
accents (package) 102 219231 232
accentset 219accidentals see musical symbolsaccordion notation 157
accordionBayanBass ( ) 157
accordionDiscant ( ) 157accordionFreeBass ( ) 157
16This occurs frequently between amssymb and mathabx for example
234
accordionOldEE ( ) 157
accordionPull ( ) 157
accordionPush ( ) 157
accordionStdBass ( ) 157accurrent () 117
Acht ( ˇ ldquo( ) 154
AchtBL ( ˇ ldquo==
) 154
AchtBR ( ˇ ldquo==) 154
acidfree () 114ACK () 126acontraction 220
AcPa ( ) 154actuarial ( ) 219actuarial symbols 107 219actuarialangle (package) 107
219 231actuarialangle 219actuarialangle ( ) 107acute ( ) 103acute (acute) 102acute (a) see accentsacutus (a) 23acwcirclearrow (⥀) 82acwcirclearrowdown (⟲) 76acwcirclearrowleft () 76acwcirclearrowright (plusmn) 76acwcirclearrowup (reg) 76acwgapcirclearrow (⟲) 77acwgapcirclearrow (⟲) 82acwleftarcarrow (⤹) 76acwleftarcarrow (⤹) 82acwnearcarrow (iexcl) 76acwnwarcarrow (cent) 76acwopencirclearrow () 77acwopencirclearrow () 83
137acwoverarcarrow (⤺) 76acwoverarcarrow (⤺) 82acwrightarcarrow () 76acwsearcarrow (⤴) 76acwswarcarrow (⤷) 76acwunderarcarrow (⤻) 76acwunderarcarrow (⤻) 82Adaleth (d) 142adeles (A) see alphabets mathadfarrow 130adfarrowe1 (C) 130adfarrowe2 (K) 130adfarrowe3 (S) 130adfarrowe4 (c) 130adfarrowe5 (k) 130adfarrowe6 (s) 130adfarrown1 (I) 130adfarrown2 (Q) 130adfarrown3 (Y) 130adfarrown4 (i) 130adfarrown5 (q) 130adfarrown6 (y) 130adfarrowne1 (J) 130adfarrowne2 (R) 130adfarrowne3 (Z) 130
adfarrowne4 (j) 130adfarrowne5 (r) 130adfarrowne6 (z) 130adfarrownw1 (H) 130adfarrownw2 (P) 130adfarrownw3 (X) 130adfarrownw4 (h) 130adfarrownw5 (p) 130adfarrownw6 (x) 130adfarrows1 (E) 130adfarrows2 (M) 130adfarrows3 (U) 130adfarrows4 (e) 130adfarrows5 (m) 130adfarrows6 (u) 130adfarrowse1 (D) 130adfarrowse2 (L) 130adfarrowse3 (T) 130adfarrowse4 (d) 130adfarrowse5 (l) 130adfarrowse6 (t) 130adfarrowsw1 (F) 130adfarrowsw2 (N) 130adfarrowsw3 (V) 130adfarrowsw4 (f) 130adfarrowsw5 (n) 130adfarrowsw6 (v) 130adfarroww1 (G) 130adfarroww2 (O) 130adfarroww3 (W) 130adfarroww4 (g) 130adfarroww5 (o) 130adfarroww6 (w) 130adfast1 (0) 135adfast2 (1) 135adfast3 (2) 135adfast4 (3) 135adfast5 (4) 135adfast6 (5) 135adfast7 (6) 135adfast8 (7) 135adfast9 (8) 135adfast10 (9) 135adfbullet (bull) 141adfbullet1 (A) 135adfbullet2 (B) 135adfbullet3 (C) 135adfbullet4 (D) 133adfbullet5 (E) 133adfbullet6 (F) 133adfbullet7 (G) 133adfbullet8 (H) 133adfbullet9 (I) 133adfbullet10 (J) 133adfbullet11 (K) 135adfbullet12 (L) 135adfbullet13 (M) 135adfbullet14 (N) 135adfbullet15 (O) 135adfbullet16 (P) 135adfbullet17 (Q) 135adfbullet18 (R) 135adfbullet19 (S) 135
adfbullet20 (T) 135adfbullet21 (U) 135adfbullet22 (V) 135adfbullet23 (W) 135adfbullet24 (X) 135adfbullet25 (Y) 135adfbullet26 (Z) 135adfbullet27 (a) 140adfbullet28 (b) 140adfbullet29 (c) 140adfbullet30 (d) 140adfbullet31 (e) 140adfbullet32 (f) 140adfbullet33 (g) 140adfbullet34 (h) 140adfbullet41 (o) 140adfbullet42 (p) 140adfbullet43 (q) 140adfbullet44 (r) 140adfbullet45 (s) 140adfbullet46 (t) 140adfbullet47 (u) 140adfbullet48 (v) 140adfbullet49 (w) 140adfbullet50 (x) 140adfbullet51 (y) 140adfbullet52 (z) 140adfclosedflourishleft (C)
141adfclosedflourishright
(c) 141adfdiamond (=) 141adfdoubleflourishleft (D)
141adfdoubleflourishright
(d) 141adfdoublesharpflourishleft
(I) 141adfdoublesharpflourishright
(i) 141adfdownhalfleafleft (r) 136adfdownhalfleafright (R)
136adfdownleafleft (x) 136adfdownleafright (X) 136adfflatdownhalfleafleft
(l) 136adfflatdownhalfleafright
(L) 136adfflatdownoutlineleafleft
(m) 136adfflatdownoutlineleafright
(M) 136adfflatleafleft (u) 136adfflatleafoutlineleft
(n) 136adfflatleafoutlineright
(N) 136adfflatleafright (U) 136adfflatleafsolidleft (v)
136adfflatleafsolidright (V)
136
235
adfflourishleft (E) 141adfflourishleftdouble
(F) 141adfflourishright (e) 141adfflourishrightdouble
(f) 141adfflowerleft (q) 136adfflowerright (Q) 136adfgee (para) 141adfhalfarrowleft (B) 130adfhalfarrowleftsolid (b)
130adfhalfarrowright (A) 130adfhalfarrowrightsolid (a)
130adfhalfleafleft (lt) 136adfhalfleafright (gt) 136adfhalfleftarrow () 131adfhalfleftarrowhead (()
131adfhalfrightarrow () 131adfhalfrightarrowhead ())
131adfhangingflatleafleft (s)
136adfhangingflatleafright
(S) 136adfhangingleafleft (T) 136adfhangingleafright (t) 136adfleafleft (w) 136adfleafright (W) 136adfleftarrowhead ([) 131adfopenflourishleft (B)
141adfopenflourishright (b)
141adforn (package) 131 135 136
141 231 232adfoutlineleafleft (o) 136adfoutlineleafright (O)
136adfrightarrowhead (]) 131adfS (sect) 141adfsharpflourishleft (H)
141adfsharpflourishright (h)
141adfsickleflourishleft (J)
141adfsickleflourishright
(j) 141adfsingleflourishleft (G)
141adfsingleflourishright
(g) 141adfsmallhangingleafleft
(z) 136adfsmallhangingleafright
(Z) 136adfsmallleafleft (y) 136adfsmallleafright (Y) 136adfsolidleafleft (p) 136adfsolidleafright (P) 136
adfsquare (|) 141adfsymbols (package) 130 133
135 140 231adftripleflourishleft
(K) 141adftripleflourishright
(k) 141adfwavesleft (A) 141adfwavesright (a) 141adjoint (dagger) see dag
Admetos (Ouml) 124Adobe Acrobat 223
adots ( ) 112 218
adots (⋰) 111adots (⋰) 112adsorbate (Ntilde) 128adsorbent (ETH) 128advancing see textadvancing
AE (AElig) 15ae (aelig) 15aeolicbii (Ι) 177aeolicbiii (Θ) 177aeolicbiv (Κ) 177agemO (0) 115Agimel (g) 142Ahe (e) 142Ahelmet (v) 142Aheth (H) 142ain (s) 24Air (Ograve) 124Akaph (k) 142
Alad () 102alad () 102Alamed (l) 142
Alas () 102alas () 102Albania () 181aldine (o) 136aldineleft (m) 136aldineright (n) 136aldinesmall (j) 136aleph (alefsym) 92 115aleph (alefsym) 92aleph (alefsym) 92aleph (alefsym) 93Alif (˒) 20
allabreve (R) 153allrunes (package) 151 231Alpha (A) 90alpha (120572) 90alphabets 119
African 16Cypriot 147Cyrillic 214Greek 15 90 91 120 148Hebrew 92 93 120hieroglyphic 143Linear A 143Linear B 146math 119phonetic 17ndash20
proto-Semitic 142South Arabian 148Vietnamese 16
alphaup (α) 91alpine symbols 171Alt ( Alt ) 125
alternative denial see uparrow
and |
AltGr ( AltGr ) 125
altoclef (K) 153AM () 125amalg (⨿) 29amalg (⨿) 31amalg (∐) 30amalg (⨿) 33Amem (m) 142Amor (+) 124ampersand see amp
119964ℳ119982 (package) 12 15 29 3948 49 60 62 67 70 8589 90 92 93 95 96 102104 107 111 114 115120 211 212 230
amsbsy (package) 225amsfonts (package) 115 119amsmath (package) 12 89 102
215 224amssymb (package) 12 102
115 119 148 231amstext (package) 216 218Anaclasis (divide) 176anaclasis (divide) 176anceps (Ξ) 177ancepsdbrevis (Ζ) 177anchor () 183
anchor (O) 141ancient-language symbols 142ndash
151and see wedge
AND gates 126
ANDd () 126
ANDl () 126Andorra () 181
ANDr () 126
ANDu () 126angdnr (⦟) 115angl ( ) 107angle (ang) 114angle ( ) 115angle (Otilde) 114angle (ang) 114angle (ang) 114angle (ang) 115angle notation 122
236
angles 113ndash116 118 124angles (⦞) 115AngleSign (W) 113angleubar (⦤) 115angln (119899 ) 107Anglo-Frisian runes 151anglr (119903 ) 107
Angstrom (Å) 94
Angstrom unitmath mode see mathring
text mode see AA
Angud (⟩) 102angud (⟩) 102angular minutes see prime
angular seconds see second
Angus (⟨) 102angus (⟨) 102animals 142 143 147Ankh () 170Annoey ( ) 184annuity ( ) 103annuity symbols 107 219Antidiple (lt) 176antidiple (lt) 176Antidiple (ltmiddotmiddot ) 176antidiple (ltmiddotmiddot ) 176antilabe ( ) 112antimuon (119908) 128antineutrino (119872) 128antineutron (119910) 128antiproton (119899) 128antiquark (119864) 128antiquarkb (119865) 128antiquarkc (119866) 128antiquarkd (119867) 128antiquarks (119868) 128antiquarkt (119869) 128antiquarku (119870) 128Antisigma (sup) 176antisigma (sup) 176Anun (n) 142anyon (Ograve) 128
aoverbrace (⏞ ⏟
) 107Ape (p) 142APL
symbols 56ndash57apl (package) 125 231APL symbols 124 125APLbox (~) 124APLboxquestion () 124APLboxupcaret () 124APLcirc (∘) 124APLcomment () 124APLdown (F) 124APLdownarrowbox (o) 124APLinput () 124APLinv (divide~) 124APLleftarrowbox (p) 124APLlog () 124
APLminus (minus) 124APLnot (sim) 124APLnotbackslash () 124APLnotslash () 124
APLrightarrowbox (q) 124APLstar (E) 124APLup () 124APLuparrowbox (n) 124APLvert ( | ) 124Apollon (szlig) 124apostropha see musixgreapprge () 63apprle (gt) 63approx (asymp) 48approx (asymp) 53approx (asymp) 50approx (asymp) 56approxcolon (asymp) 59approxcoloncolon (asymp) 59approxeq (u) 48approxeq (Yacute) 55approxeq (≊) 53approxeq (≊) 50approxeq (≊) 56approxeqq (⩰) 56approxident (≋) 53approxident (≋) 56Aqoph (q) 142Aquarius (ecirc) 122Aquarius (N) 124aquarius (e) 122AR (A) 121ar (package) 121 231arafamily 151arc (a) see accentsarccos (arccos) 89arceq () 55arceq (≘) 53 88arceq (≘) 56arcfamily 151arcminutes see prime
arcs (package) 23 231arcseconds see second
arcsin (arcsin) 89arctan (arctan) 89Aresh (r) 142arev (package) 131ndash134 141
152 183 231arg (arg) 89Aries (P) 123Aries (agrave) 122Aries (x) 124Aries (agrave) 122aries () 122arlfamily 151armfamily 151arnfamily 151
ArrowBoldDownRight (y) 130
ArrowBoldRightCircled () 130
ArrowBoldRightShort (z) 130
ArrowBoldRightStrobe (w) 130
ArrowBoldUpRight (x) 130arrowbullet () 131Arrownot (Y) 88
arrownot (X) 88
ArrowOver (P) 25arrowOver (p) 25arrows 70ndash72
76 80ndash85 104ndash109 124125 130 131 142 147170 181 186ndash189 191ndash192 207ndash208 214
diagonal for reducingsubexpressions 104
dotted 109double-headed diagonal
218extensible 104ndash109fletched 85 130negated 70 71 73 77
arrows (boisik package option) 81
Arrowvert (
) 96
Arrowvert (
XXXXXX) 97
Arrowvert (uArruArruArruArruArruArruArruArruArruArruArruArruArruArruArruArruArruArruArruArruArruArruArruArr
) 99
arrowvert (⎮⎮) 96
arrowvert (
RRRRRR) 97
arrowvert () 99
Arseneau Donald 216ndash219artfamily 151articulations see musical
symbolsAsade (x) 142Asamekh (s) 142ASC (1) 124ASCII 12 15 126 202 211
225ndash226 228ndash230table 225
ascii (package) 126 226 231ascnode () 122Ashin (S) 142aspect ratio 121Assert (⊩) 53assert (⊦) 53assert (⊦) 56assumption (119906) 128ast (˚) 30ast () 29ast () 32ast (lowast) 31ast (lowast) 30ast (lowast) 33asteq (⩮) 56asteraccent ( ) 103Asteriscus (timesmiddotmiddotmiddotmiddot ) 176asteriscus (timesmiddotmiddotmiddotmiddot ) 176Asterisk (˚) 30
Asterisk (N) 135asterisk (˚) 30
AsteriskBold (A) 135
AsteriskCenterOpen (B) 135
AsteriskRoundedEnds (X) 135
237
asterisks 30 135
AsteriskThin (C) 135
AsteriskThinCenterOpen (D) 135
asterism ( ) 215asteroids 124astrological symbols 122ndash124
193ndash195astronomical symbols 122ndash124
179 193ndash195astrosun () 123astrosun (⊙) 122astrosym (package) 193 231asymmetric braces 107asymp (≍) 48asymp (≍) 53 88asymp (≍) 87asymp (≍) 56atan (atan) 224ataribox (m) 169Atav (t) 142Ateth (T) 142AtForty (Oslash) 170AtNinetyFive (Oacute) 170atom (119862) 128atomic math objects 89 224AtSixty (Otilde) 170aunderbrace (⏟ ⏞ ) 107
Austria () 181
autoleftarrow (DGGGGG) 108
autoleftrightharpoons
(EGGGGGGGGGGC) 108
autorightarrow (GGGGGA) 108
autorightleftharpoons
(GGGGGBFGGGGG) 108
Autumntree ( ) 184Avav (w) 142average 28
awint (⨑) 44awint (⨑) 45awintsl (⨑) 46awintup (⨑) 46Ayn (˓) 20Ayod (y) 142Azayin (z) 142
BB (B) 151B 16B (˘) 176b (esvect package option) 106b (a
macr) 20
b (˘) 176b (b) 151
Ba (a) 146babel (package) 15 90 91 148babygamma () 19backapprox () 50
backapproxeq () 50Backblech ( ) 184backcong (≌) 53backcong (≌) 50backcong (≌) 56backdprime () 114backepsilon () 48backepsilon (~) 117backepsilon (϶) 92backeqsim () 50backneg () 116backneg () 116backprime (8) 115backprime (Agrave) 117backprime () 116backprime () 116backprime () 114backpropto () 53backsim (v) 48backsim (Ntilde) 55backsim (∽) 53backsim (∽) 50backsim (∽) 56backsimeq (w) 48backsimeq (Oacute) 55backsimeq (⋍) 53backsimeq (⋍) 50backsimeq (⋍) 56backsimneqq (Oacute) 54backslash (∖) 96 115
backslash () 98
backslash () 97
backslash (∖) 117
backslash (
) 99
backslashdiv () 30backtriplesim () 50backtrprime () 114backturn (C) 153bagmember (`) 55bagmember (⋿) 56
Baii () 146
Baiii (lt) 146bakingplate ( ) 184ballotcheck () 134ballotx () 134banana brackets
see llparenthesis andrrparenthesis
banceps (Ψ) 177bar ( ) 103bar (macr) 102bar () 151barb () 19barbbrevis (θ) 177barbrevis (ι) 177barcap (⩃) 33barcirc (minus∘ ) 216barcup (⩂) 33
bard () 19bardownharpoonleft (⥡) 84bardownharpoonright (⥝) 84bari () 19barin (V) 93barj (j) 19barl () 19barlambda () 19barleftarrow () 80barleftarrow () 82barleftarrowrightarrowbar
() 80barleftarrowrightarrowbar
() 82barleftharpoon (THORN) 72barleftharpoondown (⥖) 84barleftharpoonup (⥒) 84baro () 29baro ( vs lt) 212baro (ccedil) 32baro (lt) 19
BarOver (G) 25barOver (g) 25barovernorthwestarrow (13)
80barovernorthwestarrow ()
137barp (A) 19barred letters 215barrightarrowdiamond (⤠)
82barrightharpoon (szlig) 72barrightharpoondown (⥟) 84barrightharpoonup (⥛) 84barsci (+) 19barscu (X) 19
Bart (
) 177bartel-chess-fonts (package) 209
210 231baru (T) 19baruparrow (⤒) 82barupharpoonleft (⥘) 84barupharpoonright (⥔) 84Barv (⫧) 53Barv (⫧) 56barV (⫪) 53barV (⫪) 56barvee (⊽) 33barwedge (X) 30barwedge (Z) 29barwedge (Ntilde) 32barwedge (⊼) 31barwedge (⊼) 33base twelve
numerals 113tally markers 173
BasicTree 184
bassclef (I) 153Bat (yacute) 170
238
Bau (=) 146baucircle (Δ) 140
bauforms (Ξ) 170
bauhead (Λ) 170bausquare (Γ) 140bautriangle (Θ) 140BB (˘ ) 176Bb (˘ ) 176bB (˘ ) 176bb (˘ ) 176bba ( times) 176bbalpha () 120bbar () 215bbb (˘) 176bbbeta () 120Bbbk (k) 93Bbbk (k) 94Bbbk (k) 94
Bbbsum (⅀
) 45bbding (package) 130ndash133 135
139 141 212 231bbdollar ($) 120bbetter (g) 174bbeuro (ucirc) 120bbfinalnun (Iuml) 120bbgamma (13) 120bbgreekl (mathbbol package op-
tion) 120BBm (
macr) 176
Bbm (macr
) 176bBm (
macr) 176
bbm (package) 119 231bbm (
macr) 176
bbmb ( ˘) 176bbmx (
macr ˘) 176
bbnabla () 120bbold (package) 119 231bbpe (Ocirc) 120bbqof (times) 120bbrevis (ς) 177bbrktbrk () 117bbslash (13) 29bbslash (=) 32bbyod (Eacute) 120
bcattention ( ) 185
bcbombe ( ) 185
bcbook ( ) 185
bccalendrier (1JAN ) 185
bccle ( ) 185
bcclefa ( ) 185
bcclesol ( ) 185
bccoeur ( ) 185
bccrayon ( ) 185
bccube ( ) 185
bcdallemagne ( ) 185
bcdanger ( ) 185
bcdautriche ( ) 185
bcdbelgique ( ) 185
bcdbulgarie ( ) 185
bcdfrance ( ) 185
bcditalie ( ) 185
bcdluxembourg ( ) 185
bcdodecaedre ( ) 185
bcdpaysbas ( ) 186
bcdz ( ) 186
bceclaircie ( ) 186
bcetoile ( ) 185
bcfemme ( ) 185
bcfeujaune ( ) 185
bcfeurouge ( ) 185
bcfeutricolore ( ) 185
bcfeuvert ( ) 185
bcfleur ( ) 185
bchomme ( ) 185
bchorloge ( ) 185
bcicosaedre ( ) 185
bcinfo ( ) 185
bcinterdit ( ) 185
bclampe ( ) 185
bclogo (package) 185 186 231232
bcloupe ( ) 185
bcneige ( ) 185
bcnote ( ) 185
bcnucleaire ( ) 185
bcoctaedre ( ) 185
bcoeil ( ) 185bcontraction 220
bcorne ( ) 186
bcours ( ) 186
bcoutil ( ) 186
bcpanchant ( ) 185
bcpeaceandlove ( ) 185
bcpluie ( ) 185
bcplume ( ) 185
bcpoisson ( ) 185
bcquestion ( ) 185
bcrecyclage ( ) 185
bcrosevents ( ) 185
bcsmbh ( ) 185
bcsmmh ( ) 185
bcsoleil ( ) 185
bcspadesuit (spades) 185
bcstop (STOP
) 185
bctakecare ( ) 185
bctetraedre ( ) 185
bctrefle ( ) 185
bctrombone ( ) 185
bcvaletcoeur ( ) 185
bcvelo ( ) 185
bcyin ( ) 186
Bda (d) 146
Bde (D) 146bdecisive (i) 174
Bdi (f) 146bdleftarcarrow (yen) 76bdnearcarrow (laquo) 76bdnwarcarrow (uml) 76
Bdo (g) 146
239
bdoverarcarrow (curren) 76bdrightarcarrow (sect) 76bdsearcarrow (ordf) 76bdswarcarrow (copy) 76
Bdu (x) 146bdunderarcarrow (brvbar) 76
Bdwe (gt) 146
Bdwo () 146
Be (e) 146Beam () 127Bearing () 127because (∵) 48 111because (para) 55because (∵) 111because (∵) 111because (∵) 112Bed ( ) 185begriff (package) 112 231Begriffsschrift symbols 112 113BEL () 126Belarus () 181Belgium () 181bell () 169benzenr () 137Berry Karl 233Beta (B) 90beta (120573) 90betaup (β) 91beth (i) 92beth (oslash) 92beth (ℶ) 92beth (ℶ) 92beth (ℶ) 93better see triangleleft
betteris (b) 174between ( ) 50between (G) 48between (middot) 55between (≬) 53between () 50between (≬) 56BGassert ( ) 112
BGconditional ( ) 112
BGcontent ( ) 112BGnot ( ) 112BGquant ( ) 112
Bi (i) 146bibridge (
rdquoardquo) 22
biconditional see leftrightarrow
and equiv
Bicycle (reg) 170Big 211 213big 211 213big O (119978) see alphabets mathBigassumption (Ecirc) 128
bigassumption (Egrave) 128bigast (˚) 30bigblacktriangledown ()
137
bigblacktriangleup () 137
bigbosonloop (para) 128
bigbosonloopA (cup) 128
bigbosonloopV (sup) 128bigbot (⟘) 117bigbox (
e) 39
bigboxasterisk (Ouml
) 40bigboxbackslash (
THORN
) 40bigboxbot (
Ucirc
) 40bigboxcirc (
Otilde
) 40bigboxcoasterisk (
Œ
) 40bigboxdiv (
Oacute
) 40bigboxdot (
Ocirc
) 40bigboxleft (
Oslash
) 40bigboxminus (
Ntilde
) 40bigboxplus (
ETH
) 40bigboxright (
Ugrave
) 40bigboxslash (
Yacute
) 40bigboxtimes (
Ograve
) 40bigboxtop (
Uacute
) 40bigboxtriangleup (
szlig
) 40bigboxvoid (
Uuml
) 40bigcap (
⋂) 39
bigcap (⋂) 43bigcap (⋂) 43
bigcap (⋂
) 45bigcapdot () 43bigcapdot (⩀) 43bigcapplus () 44bigcapplus ($) 43bigcirc () 29bigcirc () 137bigcirc () 136bigcirc () 138
BigCircle () 139
BigCircle () 139bigcircle () 43bigcoast (ˇ) 30bigcomplementop (
Š
) 40
BigCross (13) 139bigcup (
⋃) 39
bigcup (⋃) 44bigcup (⋃) 43
bigcup (⋃
) 45bigcupdot (⨃) 44bigcupdot (⊍) 43
bigcupdot (⨃
) 45bigcupplus (⨄) 44bigcupplus (⊎) 43bigcurlyvee (
IJ
) 40bigcurlyvee (
b) 39
bigcurlyvee () 44bigcurlyvee (⋎) 43bigcurlyveedot () 43bigcurlywedge (
Ż
) 40bigcurlywedge (
c) 39
bigcurlywedge () 44bigcurlywedge (⋏) 43bigcurlywedgedot () 43
BigDiamondshape (amp) 139bigdoublecurlyvee () 43
bigdoublecurlywedge () 43bigdoublevee (⨈) 44bigdoublevee (⩔) 43bigdoublewedge (⨇) 44bigdoublewedge (⩕) 43Bigg 211 213bigg 211 213biggassumption (Eacute) 128
BigHBar () 139
bigint (
int) 42
biginterleave (g
) 39biginterleave (⫼) 117bigints (package) 42 231 232
bigints (
int) 42
bigintss (
int) 42
bigintsss (
int) 42
bigintssss (int
) 42
biginvamp (˙
) 48
BigLowerDiamond (_) 139bignplus (
) 39
bigoast (2) 44bigoast (⊛) 43bigoasterisk (
AElig
) 40bigobackslash (
Icirc
) 40bigobackslash (⦸) 43bigobot (
Euml
) 40bigocirc (
Aring
) 40bigocirc (⊚) 43bigocoasterisk (
Ccedil
) 40bigodiv (
Atilde
) 40bigodot (
⨀) 39
bigodot (⨀) 44bigodot (⊙) 43
bigodot (⨀
) 45
bigoint (
∮) 42
bigoints (
∮) 42
bigointss (
∮) 42
bigointsss (
∮) 42
bigointssss (∮
) 42
bigoleft (Egrave
) 40bigominus (
Aacute
) 40bigominus (⊖) 43bigoplus (
⨁) 39
bigoplus (⨁) 44bigoplus (oplus) 43
bigoplus (⨁
) 45bigoright (
Eacute
) 40bigoslash (
Iacute
) 40bigoslash (⊘) 43bigostar () 43bigotimes (
⨂) 39
bigotimes (⨂) 44bigotimes (otimes) 43
240
bigotimes (⨂
) 45bigotop (
Ecirc
) 40bigotriangle (F) 43bigotriangleup (
Iuml
) 40bigovert (⦶) 43bigovoid (
Igrave
) 40bigparallel (
f) 39
bigparr (˙
) 48bigplus (
Ř
) 40bigplus () 44bigplus (+) 43bigpumpkin ( ) 37
BigRightDiamond () 139bigslopedvee (⩗) 33bigslopedwedge (⩘) 33bigsqcap (
Ű
) 40bigsqcap (
) 39
bigsqcap (⨅) 44bigsqcap (⊓) 43
bigsqcap (⨅
) 45bigsqcapdot ($) 44bigsqcapdot () 43bigsqcapplus (
) 41
bigsqcapplus (() 44bigsqcapplus (0) 43bigsqcup (
⨆) 39
bigsqcup (⨆) 43bigsqcup (⊔) 43
bigsqcup (⨆
) 45bigsqcupdot (amp) 43bigsqcupdot () 43bigsqcupplus (
) 41
bigsqcupplus () 44bigsqcupplus (2) 43
BigSquare ( ) 139bigsquplus (
Ÿ
) 40bigstar (lsaquo) 30bigstar (F) 115bigstar (atilde) 137bigstar () 137bigstar () 136bigstar () 137
bigtalloblong (⫿
) 45bigtimes (
Ś
) 40bigtimes (⨉) 44bigtimes (⨉) 43
bigtimes (⨉
) 45bigtop (⟙) 117
BigTriangleDown () 139bigtriangledown (
`) 39
bigtriangledown ( vs`
) 212
bigtriangledown () 29bigtriangledown (_) 69
137bigtriangledown () 68bigtriangledown () 137
138BigTriangleLeft () 139bigtriangleleft (⨞) 137
BigTriangleRight ($) 139
BigTriangleUp () 139
bigtriangleup (a
) 39bigtriangleup ( vs
a) 212
bigtriangleup () 12 29bigtriangleup (^) 69 137bigtriangleup () 68bigtriangleup () 137 138biguplus (
⨄) 39
biguplus (⨄) 44biguplus (⊎) 43
biguplus (⨄
) 45bigvarstar (rsaquo) 30
BigVBar () 139bigvee (
⋁) 39
bigvee (⋁) 44bigvee (⋁) 43
bigvee (⋁
) 45bigveedot () 44bigveedot () 43bigwedge (
⋀) 39
bigwedge (⋀) 44bigwedge (⋀) 43
bigwedge (⋀
) 45bigwedgedot () 44bigwedgedot () 43bigwhitestar () 137
bigwith (˘
) 48binampersand (N) 29binampersand (icirc) 32binary operators 29ndash37binary relations 48ndash51 53
55ndash67 86ndash88negated 49 50 52ndash55 57
bindnasrepma (O) 29bindnasrepma (iuml) 32Biohazard (h) 127biohazard () 183biological symbols 127birds 143bishop 175 209ndash210bishoppair (a) 174
Bja (j) 146
Bje (J) 146
Bjo (b) 146
Bju (L) 146
Bka (k) 146
Bke (K) 146
Bki (c) 146
Bko (h) 146
Bku (v) 146BL () 125black 176
BlackBishopOnBlack (a) 175
BlackBishopOnWhite (b) 175
blackboard bold see alphabetsmath
blackbowtie (euml) 32
blackcircledownarrow (⧭) 137
blackcircledrightdot () 137
blackcircledtwodots () 137
blackcircleulquadwhite () 137
blackdiamond (˛) 30blackdiamond () 36blackdiamonddownarrow (⧪)
137
BlackEmptySquare (Z) 175blackhourglass (⧗) 37blackinwhitediamond ()
137blackinwhitesquare () 137
BlackKingOnBlack (j) 175
BlackKingOnWhite (k) 175
BlackKnightOnBlack (m) 175
BlackKnightOnWhite (n) 175
blacklefthalfcircle () 137blacklozenge () 115blacklozenge (atilde) 36 137blacklozenge (⧫) 137blacklozenge (⧫) 136blacklozenge (⧫) 137 138
BlackPawnOnBlack (o) 175
BlackPawnOnWhite (p) 175blackpointerleft () 137blackpointerright () 137
BlackQueenOnBlack (l) 175
BlackQueenOnWhite (q) 175
blackrighthalfcircle () 137
BlackRookOnBlack (s) 175
BlackRookOnWhite (r) 175blacksmiley () 117blacksmiley (-) 169blacksquare () 115blacksquare (iuml) 36 137blacksquare (∎) 35blacksquare () 138blackstone 175blacktriangle (N) 115blacktriangle (euml) 36 137blacktriangle () 36 69
241
blacktriangle () 68blacktriangle () 138blacktriangledown (İ) 34blacktriangledown (H) 115blacktriangledown (egrave) 36
137blacktriangledown () 36
69blacktriangledown () 68blacktriangledown () 138blacktriangleleft (đ) 34blacktriangleleft (J) 67blacktriangleleft (ecirc) 36blacktriangleleft () 36
69blacktriangleleft () 68blacktriangleleft () 138blacktriangleright (sect) 34blacktriangleright (I) 67blacktriangleright (eacute) 36blacktriangleright () 36
69blacktriangleright () 68blacktriangleright () 138blacktriangleup (IJ) 34blackwhitespoon (⊷) 87blank see textblank
Bleech (Euml) 170blender ( ) 184blitza () 88blitza () 28blitzb () 88blitzc () 88blitzd () 88blitze (13) 88blkhorzoval () 138blkvertoval () 138block-element symbols 178Bm (
macr) 176
bm (package) 225 231 232bm 225bm (
macr) 176
Bma (m) 146
Bme (M) 146Bmesonminus (Uacute) 129Bmesonnull (Ucirc) 129Bmesonplus (Ugrave) 129
Bmi (y) 146
Bmo (A) 146bmod 89
Bmu (B) 146
Bna (n) 146
BNc (laquo) 146
BNcc (raquo) 146
BNccc (ndash) 146
BNcd (mdash) 146
BNcm (ff) 146
BNd (zwnj) 146
BNdc (permil) 146
BNdcc (ı) 146
BNdccc (ȷ) 146
Bne (N) 146
BNi (acute) 146
Bni (C) 146
BNii (ˆ) 146
BNiii (˜) 146
BNiv (uml) 146
BNix (macr) 146
BNl (lsaquo) 146
BNlx (rsaquo) 146
BNlxx (ldquo) 146
BNlxxx (rdquo) 146
BNm (fi) 146
Bno (E) 146bNot (⫭) 56
Bnu (F) 146
BNv (˝) 146
BNvi (˚) 146
BNvii (ˇ) 146
BNviii (˘) 146
Bnwa () 146
BNx (˙) 146
BNxc (bdquo) 146
BNxl (sbquo) 146
BNxx (cedil) 146
BNxxx (˛) 146
Bo (o) 146body-text symbols 14ndash27boisik (package) 32 36 44
55 61 66 69 80 81 9294 95 103 114 117 137140 148 152 231
bold symbols 224ndash225boldmath 225boldsymbol 225BOLogo (F) 170BOLogoL (M) 170BOLogoP (N) 170bomb 185ndash186bomb (L) 170bond (120595) 129Boolean domain (B) see
alphabets mathBoolean logic gates 126boondox (emf package option)
122borders 196ndash202born see textborn
boseDistrib (120561) 129Bosnia () 181boson (120564) 129bosons 128Bot (sbquo) 95bot (perp) 28 93 217bot (perp) 94bot () 93bot (perp) 94
botborder () 176
botdoteq (rdquo) 50botsemicircle () 138bottle ( ) 184Bottomheat () 183Bouquet (yen) 170bowl ( ) 184Bowtie (1) 169bowtie (◁▷) 48bowtie (egrave) 32bowtie (⋈) 32 53bowtie (amp) 30 31bowtie (⋈) 56Box () 115Box (2) 115Box () 36Box (◻) 35Box () 138box-drawing symbols 178boxast (i) 29boxast (curren) 36boxast (⧆) 37boxasterisk (f) 34boxbackslash (n) 34boxbackslash (⧅) 35boxbackslash (⧅) 35boxbar (k) 29boxbar (iexcl) 36boxbar () 36boxbar () 37boxbot (k) 34boxbot () 36boxbox () 29boxbox (sect) 36boxbox (⧈) 35boxbox (⧈) 35boxbox (⧈) 37boxbslash (j) 29boxbslash () 36boxbslash (⧅) 36boxbslash (⧅) 37boxcirc (e) 34boxcircle () 29boxcircle (yen) 36boxcircle (⧇) 37boxcoasterisk (g) 34boxdiag (⧄) 36boxdiag (⧄) 37boxdiv (c) 34boxdivision (brvbar) 36boxdot (d) 34boxdot () 29boxdot (ocirc) 36boxdot (⊡) 35boxdot (⊡) 35boxdot (⊡) 37boxdotLeft () 71boxdotleft () 71boxdotRight () 71boxdotright () 71boxempty () 29boxLeft () 71boxleft (h) 34boxleft () 71
242
boxleft () 36boxminus (a) 34boxminus () 29boxminus (ntilde) 36boxminus (⊟) 35boxminus (⊟) 35boxminus (⊟) 37boxonbox (⧉) 138boxplus (lsquo) 34boxplus () 29boxplus (eth) 36boxplus (⊞) 35boxplus (⊞) 35boxplus (⊞) 37boxRight () 71boxright (i) 34boxright () 71boxright ( ) 36boxslash (m) 34boxslash (l) 29boxslash (cent) 36boxslash (⧄) 35boxslash (⧄) 35boxtimes (b) 34boxtimes () 29boxtimes (ograve) 36boxtimes (⊠) 35boxtimes (⊠) 35boxtimes (⊠) 37boxtop (j) 34boxtop () 36boxtriangle (pound) 36boxtriangleup (o) 34boxvert () 35boxvert (q) 35boxvoid (l) 34boy (D) 123
Bpa (p) 146
Bpaiii ([) 146
BPamphora (Ž) 147
BParrow (ij) 147
BPbarley (Ş) 147
BPbilly (ť) 147
BPboar (ľ) 147
BPbronze (Ű) 147
BPbull (ň) 147
BPcauldroni (đ) 147
BPcauldronii (sect) 147
BPchariot (yuml) 147
BPchassis (ź) 147
BPcloth (Ř) 147
BPcow (ŋ) 147
BPcup (Ÿ) 147
Bpe (P) 146
BPewe (š) 147
BPfoal (ě) 147
BPgoat (ş) 147
BPgoblet (Ź) 147
BPgold (Ů) 147
BPhorse (ď) 147
Bpi (G) 146
BPman (ă) 147
BPnanny (ț) 147
Bpo (H) 146
BPolive (Ț) 147
BPox (ń) 147
BPpig (ĺ) 147
BPram (ś) 147
BPsheep (ř) 147
BPsow (ł) 147
BPspear (iexcl) 147
BPsword (ż) 147
BPtalent (Ď) 146
Bpte (]) 146
Bpu (I) 146
Bpuii () 146
BPvola (Ĺ) 146
BPvolb (Ľ) 146
BPvolcd (Ł) 146
BPvolcf (Ń) 146
BPwheat (Š) 147
BPwheel (ž) 147
BPwine (Ť) 147
BPwineiih (Ż) 147
BPwineiiih (IJ) 147
BPwineivh (İ) 147
BPwoman (ą) 147
BPwool (Ś) 147
BPwta (Ă) 146
BPwtb (Ą) 146
BPwtc (Ć) 146
BPwtd (Č) 146
Bqa (q) 146
Bqe (Q) 146
Bqi (X) 146
Bqo (8) 146
Bra (r) 146bra 96braceld (⏞) 220bracerd ( ) 220braces 14 96ndash99 104ndash107
asymmetric 107extensible 104ndash107multiline 107
bracevert (⎪⎪⎪⎪) 96
bracevert (
⎪⎪⎪⎪⎪⎪) 97
bracevert (⎪) 117brackets see delimiters
Braii (^) 146
Braiii (_) 146braket (package) 96Bratpfanne ( ) 184
Bre (R) 146
Break ( Break ) 125
breve ( ) 103breve (˘) 102breve (a) 23breve (a) see accentsbrevis (β) 177
Bri (O) 146
Bro (U) 146
Broii (lsquo) 146brokenvert (|) 169Bronger Torsten 217
Bru (V) 146BS () 126
Bsa (s) 146
Bse (S) 146BSEfree (n) 127
Bsi (Y) 146bsimilarleftarrow (⭁) 82bsimilarrightarrow (⭇) 82
Bso (1) 146bsolhsub (⟈) 62BSpace ( ↦minusrarr ) 125
Bsu (2) 146
Bswa () 146
Bswi (|) 146
Bta (t) 146
Btaii () 146
Bte (T) 146
Bti (3) 146btimes (⨲) 32btimes (⨲) 33
Bto (4) 146
Btu (5) 146
Btwe (shy) 147
Btwo (~) 146
Bu (u) 146
BUFd () 126buffers 126
BUFl () 126
BUFr () 126
BUFu () 126
BUi (fl) 147
BUii (ffi) 147
BUiii (ffl) 147
BUiv () 147
BUix () 147Bulgaria () 182bullcntr (package) 173 231 232bullcntr⟨1 ⟩ ( ∙ ) 173bullcntr⟨2 ⟩ (∙ ∙) 173bullcntr⟨3 ⟩ ( ∙∙ ∙) 173bullcntr⟨4 ⟩ (
∙∙ ∙∙ ) 173bullcntr⟨5 ⟩ (
∙ ∙∙∙ ∙) 173bullcntr⟨6 ⟩ ( ∙∙∙ ∙∙∙ ) 173
243
bullcntr⟨7 ⟩ ( ∙∙∙∙∙∙∙ ) 173bullcntr⟨8 ⟩ (∙∙∙∙∙∙∙∙) 173bullcntr⟨9 ⟩ (
∙∙∙∙∙∙∙∙∙) 173
bullenum (package) 173bullenum 173bullet (∙) 29bullet (bull) 36bullet () 30bullet (∙) 37bullseye see textbullseye
bullseye () 138Bumpedeq (ı) 50bumpedeq () 50Bumpeq (m) 48Bumpeq (Ccedil) 55Bumpeq (≎) 53Bumpeq (≎) 51Bumpeq (≎) 56bumpeq (l) 48bumpeq (AElig) 55bumpeq (≏) 53bumpeq (≏) 50bumpeq (≏) 56bumpeqq (⪮) 53bumpeqq (⪮) 56bupperhand (e) 174
Burns (
) 177BusWidth () 126
BUv () 147
BUvi () 147
BUvii () 147
BUviii ($) 147
BUx (amp) 147
BUxi (rsquo) 147
BUxii (shy) 147
Bwa (w) 146
Bwe (W) 146
Bwi (6) 146
Bwo (7) 146BX () 125
Bza (z) 146
Bze (Z) 146
Bzo (9) 146
CC (a) 20C ( ) 176c (esvect package option) 106c (a) 20 227c ( ) 176
Ca (a) 147
caesura ( O) 153
cal (emf package option) 122calligra (package) 119 231 232calligra (emf package option)
122Calligra (font) 119
calrsfs (package) 119CAN () 126cancel (package) 104Cancer (atilde) 122Cancer (b) 124cancer (_) 122Candle ( ) 185candra ( ) 103Cap (e) 29Cap (Euml) 32Cap (⋒) 32Cap (⋒) 31Cap (⋒) 33cap (X) 30cap (cap) 29cap () 32cap (cap) 31cap (cap) 30cap (cap) 33
capbarcup (⩉) 33
capdot (⩀) 31capdot (⩀) 30capdot (⩀) 33
capovercup (⩇) 33
capplus (C) 31capplus () 30Capricorn (eacute) 122Capricorn (B) 124capricornus (d) 122capturesymbol (X) 174capwedge (⩄) 33card suits 140 141 185ndash186cardinality see aleph
care of (co) 117caret see ^
caretinsert () 117Carlisle David 1 230caron (a) see accentscarriage return 214carriage return 125 126 141
214carriagereturn () 80carriagereturn (crarr) 82carriagereturn (C) 141Cartesian product see times
castle 175 209ndash210castlingchar (O) 174castlinghyphen (-) 174Cat ( ) 184catal (γ) 177Catalexis (and) 176catalexis (and) 176catamorphism
see llparenthesis andrrparenthesis
CB (-) 125cb (a ) 24Cc ( ) 176cc ( CC ) 27cc ( ) 176ccAttribution (b) 27ccby ( BY ) 27ccbyncnd (cbnd) 27
Ccc ( ) 176ccCopy (copy) 27ccicons (package) 27 231 232cclicenses (package) 27 231ccLogo (c) 27ccnc ( $∖ ) 27ccnd ( = ) 27ccNoDerivatives (d) 27ccNonCommercial (n) 27ccNonCommercialEU (e) 27ccNonCommercialJP (y) 27ccPublicDomain (p) 27ccRemix (r) 27ccsa (
C ) 27ccSampling (m) 27ccShare (s) 27ccShareAlike (a) 27ccwundercurvearrow (⤿) 82ccZero (z) 27cdot (middot) 29 215cdot (y) 32cdot (sdot) 31 111cdot (⋯) 111
cdot (sdot) 30 111cdot (sdot) 112cdotp (middot) 110
cdotp (⋯) 111cdotp (sdot) 111
cdotp (middot) 112cdots (middot middot middot ) 110cdots (⋯) 111
cdots (⋯) 112CE () 125
Ce (e) 147
Cedi see textcolonmonetary
cedilla (cedil) see accents
celestial bodies 122ndash124 179193ndash195
celsius () 121Celtcross () 170
Celtic knots 199ndash202cent (cent) 25
centerdot (sbquo) 30centerdot ( ) 31centerdot () 29
centerdot (icirc) 32centerdot (middot) 112centernot (package) 216centernot 216centigrade see textcelsius
centre (I) 174cents see textcent
Ceres (Acirc) 124CEsign (C) 127
Cga (g) 147Chair ( ) 185
chancery (package) 231changenotsign 50char 214 223 226 229 230Charter (font) 25 47check ( ) 103check (ˇ) 102
244
check marks 15 116ndash117 133134 141 169 170 186ndash189 212
checked () 169CheckedBox (2) 134Checkedbox (V) 134
Checkmark () 133checkmark (X) 15
checkmark (D) 141checkmark (iuml) 117checkmark () 116checkmark () 116checkmark () 117
checkmark (X vs D) 212
CheckmarkBold () 133checksymbol (+) 174chemarr (package) 108 231chemarrow (package) 85 108
231chemarrow (A) 85Chen Raymond 233chess symbols 174 175
209ndash210chesscomment (RR) 174chessetc (P) 174chesssee (l) 174chevrons 131Chi (X) 90chi (120594) 90ChinA2e (package) 26 89 120
179 180china2e (package) 119 231 232Chiron (D) 124chiup (χ) 91chorus (emf package option) 122
Ci (i) 147cipher symbols 179cirbot (⟟) 56circ (∘) 29 117 216circ () 36circ () 30circ () 138circeq () 50circeq ($) 48circeq (Ugrave) 55circeq (≗) 53circeq (≗) 51circeq (≗) 56CIRCLE ( ) 136Circle () 136
Circle (5) 139
Circle ( vs 5) 212circlearrowleft (ouml) 71circlearrowleft () 70circlearrowleft (pound) 80circlearrowleft () 77circlearrowleft () 73circlearrowleft () 82 83circlearrowright (œ) 71circlearrowright () 70circlearrowright (cent) 80circlearrowright () 77
circlearrowright () 73circlearrowright () 82 83circlebottomhalfblack ()
138circled numerals 134 175 176
209CircledA (ordf) 170circledast (~) 29circledast (ouml) 36circledast (⊛) 36circledast (⊛) 35circledast (⊛) 37circledbar (V) 30circledbslash (W) 30circledbullet (⦿) 138circledcirc () 29circledcirc (otilde) 36circledcirc (⊚) 36circledcirc (⊚) 35circledcirc (⊚) 37circleddash () 29circleddash (divide) 36circleddash (⊝) 36circleddash (⊖) 35circleddash (⊝) 37circleddot see odot
circleddotleft () 71circleddotright () 71CircledEq () 55circledequal (⊜) 36circledequal (⊜) 37circledgtr (S) 49circledless (R) 49circledminus see ominus
circledotleft seecircleddotleft
circledotright seecircleddotright
circledownarrow (⧬) 138circledparallel (⦷) 37circledplus see oplus
circledR (r) 15 93circledR () 94circledrightdot () 138circledS (s) 93circledS () 94circledslash see oslash
circledstar () 138circledtimes see otimes
circledtwodots () 138circledvee (U) 30circledvert (⦶) 36circledvert (⦶) 37circledwedge (T) 30circledwhitebullet (⦾) 138circlehbar (⦵) 37circleleft () 71circlelefthalfblack () 138circlellquad () 138circlelrquad () 138circleonleftarrow (⬰) 82circleonrightarrow (⇴) 82circleright () 71
circlerighthalfblack () 138
circles 124 136ndash141 175 176 181 191ndash192 197 207ndash208
CircleShadow (d) 139
CircleSolid (a) 139circletophalfblack () 138circleulquad () 138circleurquad () 138circleurquadblack () 138circlevertfill () 138Circpipe () 127circplus (˘) 30circplus () 32Circsteel () 127circumflex (a) see accentscircumflexus (a) 23cirE (⧃) 138cirfnint (⨐) 45cirfnintsl (⨐) 46cirfnintup (⨐) 46cirmid (⫯) 87cirmid (⫯) 56cirscir (⧂) 138
Cja (j) 147
Cjo (b) 147
Cka (k) 147
Cke (K) 147
Cki (c) 147
Cko (h) 147
Cku (v) 147
Cla (l) 147
Cle (L) 147CleaningA (laquo) 170CleaningF (frac34) 170CleaningFF (iquest) 170CleaningP (not) 170CleaningPP (icirc) 170
clefC ( ) 156clefCInline 156
clefF ( ) 156clefFInline 156
clefG ( ) 156clefGInline 156clefs 153 154 156 161
185ndash186Cli (d) 147clickb () 19clickc () 19clickt (R) 19
Clo (f) 147clock (package) 172 231 232clock () 169
clock (i1) 172
clock symbols 169ndash172185ndash186
ClockFramefalse 172
245
ClockFrametrue 172ClockLogo (U) 170ClockStyle 172clocktime 172closedcurlyvee (frac34) 31closedcurlywedge (frac14) 31closedequal (Uuml) 51closedniomega () 19closedprec (frac12) 51closedrevepsilon () 19closedsucc (raquo) 51closedvarcap (⩍) 33closedvarcup (⩌) 33closedvarcupsmashprod (⩐)
33closure ( ) 102closure () 53 88closure () 56Cloud () 171clouds 37clovers 135
Clu (q) 147clubs 140 141clubsuit (clubs) 140clubsuit (ocirc) 140clubsuit (clubs) 140clubsuit (clubs) 140clubsuit (clubs) 141
Cma (m) 147
Cme (M) 147
Cmi (y) 147cmll (package) 28 34 48 59
95 231Cmo (A) 147cmr (emf package option) 122
Cmu (B) 147
Cna (n) 147
Cne (N) 147
Cni (C) 147
Cno (E) 147
Cnu (F) 147CO () 125
Co (o) 147coAsterisk (ˇ) 30coAsterisk (`) 32coasterisk (ˇ) 30
Coda (i) 153
coda (U) 153code page 1252 228
table 228code page 437 126 178 226Coffeecup (K) 170 185coh (uml) 59coins ancient 26Colon (∷) 111Colon (∷) 112colon 110colon ( ) 110colon (∶) 111
colon (∶) 111Colonapprox () 49Colonapprox (asymp) 57colonapprox (asymp) 59colonapprox (asymp) 57colonapprox (13) 49coloncolon () 59coloncolonapprox (asymp) 59coloncolonequals (=) 59coloncolonminus (minus) 59coloncolonsim (sim) 59Coloneq (H) 49Coloneq (minus) 57Coloneq (⩴) 56coloneq (ndash) 28 50coloneq (minus) 57coloneq (D) 49coloneq (≔) 53coloneq (∶=) 51coloneq (≔) 56Coloneqq (F) 49Coloneqq (=) 57coloneqq (=) 57coloneqq (B) 28 49coloneqq (≔) 53colonequals (package) 28 59
231colonequals (=) 28 59colonminus (minus) 59Colonsim () 49Colonsim (sim) 57colonsim (sim) 59colonsim (sim) 57colonsim () 49combelow (package) 24 231
232combinatorial logic gates 126comma-below accent (a ) see
accentscommaminus (⨩) 33communication symbols 126commutative diagrams 218comptexttex (newsgroup) 12
28 29 214ndash219compass 191ndash192compensation (n) 174complement (A) 93complement () 93complement (yacute) 94complement (∁) 94complement (∁) 43complement (∁) 94complete shuffle product () 34
COMPLEX (raquo) 89
Complex (Atilde) 89complex numbers (C) see
alphabets mathcomposited accents 20Comprehensive TEX Archive
Network 1 12 104 120126 211 228ndash230
computer hardware symbols 125computer keys 125
Computer Modern (font) 85211 213 226
computer symbols 186ndash189ComputerMouse (Iacute) 125concavediamond (⟡) 37concavediamondtickleft (⟢)
37concavediamondtickright
(⟣) 37Conclusion () 113conductivity (120594) 129cong () 48cong (aelig) 55cong (cong) 53cong (cong) 51cong (cong) 56congdot (⩭) 56Congruent (]) 113congruent see equiv
conictaper () 117conjquant (⨇) 44
conjquant (⨇
) 45Conjunction (q) 124conjunction (V) 122conjunction logical see wedge
and amp
consequence relations 58contradiction symbols 28 88control characters 126converse implication see
leftarrow and subset
converse nonimplication see nleftarrow andnsubset
convolution (˙) 30convolution () 32cooker ( ) 184cooking symbols 183 184
186ndash189cookingsymbols (package) 183
231 232Cooley ( ) 184Coppa (Ϙ) 148coppa (ϙ) 148coprod (
∐) 28 39
coprod (∐) 44coprod (∐) 43
coprod (∐
) 45copyright 14 15 26 27 227copyright (copy) 15copyright ( c) 15corner (k) 24corners box 178corona () 177coronainv (Ϙ) 177Corresponds (=) 113corresponds (fl) 50corresponds () 55cos (cos) 89 224cosh (cosh) 89cot (cot) 89coth (coth) 89counterplay (V) 174
246