is 1885-72 (2008): electrotechnical vocabulary, part 72 ... · is 1885 (part 72): 2008 iec6oo5o-101...
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Disclosure to Promote the Right To Information
Whereas the Parliament of India has set out to provide a practical regime of right to information for citizens to secure access to information under the control of public authorities, in order to promote transparency and accountability in the working of every public authority, and whereas the attached publication of the Bureau of Indian Standards is of particular interest to the public, particularly disadvantaged communities and those engaged in the pursuit of education and knowledge, the attached public safety standard is made available to promote the timely dissemination of this information in an accurate manner to the public.
इंटरनेट मानक
“!ान $ एक न' भारत का +नम-ण”Satyanarayan Gangaram Pitroda
“Invent a New India Using Knowledge”
“प0रा1 को छोड न' 5 तरफ”Jawaharlal Nehru
“Step Out From the Old to the New”
“जान1 का अ+धकार, जी1 का अ+धकार”Mazdoor Kisan Shakti Sangathan
“The Right to Information, The Right to Live”
“!ान एक ऐसा खजाना > जो कभी च0राया नहB जा सकता है”Bhartṛhari—Nītiśatakam
“Knowledge is such a treasure which cannot be stolen”
“Invent a New India Using Knowledge”
है”ह”ह
IS 1885-72 (2008): Electrotechnical Vocabulary, Part 72:Mathematics [ETD 1: Basic Electrotechnical Standards]
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IS 1885 (Part 72) :2008
IEC 60050-101:1998
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Indian Standard
ELECTROTECHNICAL VOCABULARYPART 72 MATHEMATICS
( First Revision)
ICs 01.040.07
@ 61S 2008
BUREAU OF INDIAN STANDARDSMANAK BHAVAN, 9 BAHADUR SHAH ZAFAR MARG
NEW DELHI 110002
May 2008 Price Group 15
Basic Electrotechnical Standards Sectional Committee, ETD 01
NATIONAL FOREWORD
This Indian Standard (Part 72) (First Revision) which is identical with IEC 60050-101 : 1998‘International Electrotechnical Vocabulary — Part 101: Mathematics’ issued by the InternationalElectrotechnical Commission (lEC) was adopted by the Bureau of Indian Standards on therecommendation of the Basic Electrotechnical Standards Sectional Committee and approval of theElectrotechnical Division Council.
This standard was first published in 1993. This revision has been undertaken to align it withIEC 60050-101:1998.
The text of IEC Standard has been approved as suitable for publication as an Indian Standard withoutdeviations. Certain conventions are, however, not identical to those used in Indian Standards.Attention is particularly drawn to the following:
a) Wherever the words ‘International Standard’ appear referring to this standard, they shouldbe read as ‘Indian Standard’.
b) Comma (,) has been used as a decimal marker, while in Indian Standards, the currentpractice is to use a point (.) as the decimal marker.
In this adopted standard, reference appears to certain International Standards for which IndianStandards also exist. The corresponding Indian Standards, which are to be substituted in theirplaces, are listed below along with their degree of equivalence for the editions indicated:
International Standard
IEC 60027-1 : 1992 Letter symbols tobe used in electrical technology — Part1: General
IEC 60050 (161) : 1990 InternationalElectrotechnical Vocabulary — Chapter161: Electromagnetic compatibility
IEC 60050 (701) : 1988 InternationalElectrotechnicai Vocabulary — Chapter701: Telecommunications, channels andnetworks
ISO 31-11 : 1992 Quantities and units— Part 11: Mathematical signs andsymbols for use in the physical sciencesand technology
lSO/lEC 2382-1 : 1993 Informationtechnology — Vocabulary — Part 1:Fundamental terms
Corresponding Indian Standard
IS 3722 (Part 1) : 1983 Letter symbolsand signs used in electrical technology:Part 1 General guidance on symbols andsubscripts (first revision)
IS 1885 (Part 85) :2003 Electrotechnicalvocabulary: Part 85 Electromagneticcompatibility
IS 1885 (Part 58) : 1984 Electrotechnicalvocabulary: Part 58 Telecommunications,channels and networks
IS 1890 (Part 11) : 1995 Quantities andunits: Part 11 Mathematical signs andsymbols for use in the physical sciencesand technology (second revision)
1S 14692 (Part 1) : 1999 Informationtechnology — Vocabulary: Part 1Fundamental terms
Degree ofEquivalence
TechnicallyEquivalent
Identical
TechnicallyEquivalent
Identical
do
The technical committee responsible for the preparation of this standard has reviewed the provisionsof the following International Standards and has decided that they are acceptable for use inconjunction with this standard:
/nternafiona/ Standard Title
IEC 60050 (702) :1992 International Electrotechnical Vocabulary — Chapter 702: Oscillations,signals and related devices
(Continued on third cover)
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IS 1885 (Part 72) :2008IEC6OO5O-101 :1998
CONTENTS
Page
Sections
101-11 Scalar and vector quantities . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1
101-12 Concepts related to information . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 20
101-13 Distributions and integral transformations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 23
101-14 Quantities dependent on a variable... ............................................................................. 29
101-15 Waves .........................................................................................................,, .,....,,, ....... 54
List ofletter symbols . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ...".""""""""""""""" 63
List of mathematical signs . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 64
Index . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .. 65
IS 1885 (Part 72): 2008IEC6OO5O-101 :1998
/ndian Standard
ELECTROTECHNICAL VOCABULARY
PART 72 MATHEMATICS
~ First Revision)
101-11-01 valeur absoluePour un nombre r6cl a, lC rrombre non nfgatif, soit a soit –a.
Notes 1, La valcur abstrluc de a esL rcpr@mtLe par Ial ; abs a est aussi utilise.
2.- La notion de valcur absolue pcut s’appliqucr a une grandeur scalaire rkllc.
absolute valueFor a real number a, the non-nega~ivc number, either a or –a.
Nom 1, The absolu[cvalueof a is dermd by /a/ ; abs a is Nso wed
2.- The conccpl of absolute value may bc applied to a real scalar quamity.
ardeesitjaplp[Sv
Betrdg (cincr rccllcn Zahl)valor absohstovalore assoluto$&W
warto<c bezwzgl@navalor absoluto(absulut)belopp
101-11-02 nombre complexe
Couple ordonn6 de nombres r6els, u e[ b, gindralcmcnt rcprescnt6 par c = a + jb oti I’uniLdimaginairc jverificjz =-l,
Notes 1.- Un nombrc cnmplcxc pcu[ aussi ?trc rcpr6scnL6 par c = Icl (COSp + j sin q) = IclCIP oil
Icl cst un I]{>mbrerdcl non ndga~if ct q un nombre reel.
2.- En clcctro[cchnlquc, Ic ~ymholc j CSLprifEr6 au symbole i, USUC1en math6matiqucs.
~. tin cicctrolcchniquc. un nomhrc comp]exc peut &c rcprt%cntd par un symbolc IittdralSc)ulignd, par cxcmplc : C.
complex number
Ordered pair ol”real numtwrs a and h, usually denoted by c = a + jb where the imaginary unit j satisfiesj? =-]
NoIe.\ 1.- A complex number may also bc cxprcsscd as c = lcl (COSp + j sin @ = Icl ~IP where Icl is a
non-ncgati vc real number and p a real number.
2.- [n clcctrolcchnoiogy, the symbol j is preferred to the symbol i, usual in mathematics.
3.- In clcctro[cchno]ogy, a complex number may bc denoted by an underlined Iettcr symbol, forexample: g,
ardcCsitjaplptSv
+-sj ALc
komplexe Zahlnsirnero complejonumero complesso
#f%%Iiczba zespolonamimero complexokomplext tal
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IS 1885 (Part 72): 2008IEC6OO5O-101 :1998
101-11-03 partie r6elle
Composante a dun nombre complexe c = a + jb.
Notes 1.- La partie r6elle dun nombre complexe c est repr6sent6e par Re c ou par c’.
2.- La notion de partie r6elle peut s’appliquer Aune grandeur scalaire, vectorielle ou tensoriellecomplexe et h une matrice d’A5ments complexes.
real part
The part a of a complex number c = a + jb.
Nores 1.- The real part of a complex number c is denoted by Re c or by c’.
2.- The concept of real part may be applied to a complex scalar, vector or tensor quantity or toa matrix of complex elements.
+.&
: Reaiteiles parterealit parte realeja 5W18pl cz$% rzeeaywistapt parte realSv realdel
partie imaginaire
Composante b dun nombre complexe c = a + jb.
Notes 1.- La partie imaginairc dun nombre complexe c est repr6sent& par Im c ou par c“.
2.- La notion de partie imaginaire peut s’appliquer A une grandeur scakdre, vectorielle outcnsorielle complexe et ?tune matrice dWments complexes.
imaginary part
The part b of a complex number c = a + jb.
101-11-04
101-11-05
Notes
ardeesitjaplptSv
1.- The irnaginmy part of a complex number c is denoted by Im c or by c“.
2.- The concept of imaginary part maybe applied to a complex scalar, vector or tensor quantityor to a matrix of complex elements.
I&q@irteilparte imaginariaparte irnmaginaria&scq%d urojonaparte imagindriaimaginiirdel
Conjuguk
Nombre complexe c* = a - jb associ6 au nombre complexe c = a + jb.
Notes 1.- Le conjugu6 du nombre complexe c = IcId’? est c* = IcI e-JP.
2.- La notion de wconjugu6 >>peut s’appliquer h une grandeur scalaire, vectorielle ou tensoriellecomplexe et ii une matrice d616ments complexes.
conjugatecomplex number C* = a – jb associated with the complex nUmber C= a + jb.
Notes 1.- The conjugate of the complex number c = Icl eiP is c* = IcIe-@
2.- The concept of conjugate maybe applied to a complex scalar, vector or tensor quantity or toa matrix of complex elements.
arJJl>
de konjugiert-komplexe Zaldes conjugadoit coniugato (di un numero complesso)ja #&p] Iiczba Sprr$zonapt conjugadoSv konjugat
*
IS 1885 (Part 72): 2008IEC6OO5O-101 :1998
101-11-06
101-11-07
101-11-08
racine carriSeNombre dopt le produit par lui-m~me est 6gal h un nombrc rt$el ou complexe donrk
Note. - Tout nombre rclel ou complexe non nul a deux racines carkes, qui sent des nombres oppost%.
Pour un nombre r6el positif a, la racine cam% positive est repn%ent& par al/2 ou ~ et la racine carr6e
rkgative par -al’2 Ou +.
square rootNumber for which the product by itself is equal to a given real or complex number.
Note. - Every non-zero real or complex number has two square roots, each being the negative of the other.
For a positive real number a, the positive square root is denoted by aln or& and the negative square root
by -alQ or ~.
Yeesitjap]ptSv
module
#%?y JJ-
Quadratwurzelraiz cuadradaradice quadrata
=Wi! : Tli%lpierwiastek kwadratowyraiz quadradakvadratrot
Nombre reel non-n~gatif Icl dent lc carui cst 6gal au produit dun nombre complexe c = a + jb par son
conjuguk:
Note. - La notion de module peut s’appliquer Aune grandeur scalaire complexe.
modulus
Non-negative real number IcI, the square of which is equal to the product of a complex number c = a + jb
and its conjugate:
lcl=m=J7Y7
Note. - The concept of modulus maybe applied to a complex scalar quantity.
~eesitjap]ptSv
J&A
Betrag (einer komplcxen Zahl)mddulomodulol&Wili
modsd (liczby zespolonej)m6dulobelopp (av komplcxt ml)
argument (symbole : arg)
Nombre r6el q tel que –n < p S n, dent la tangente est le rapport de la partie imaginaire h la partie r6elled’un nombrc complexe donnd non nul it dent le signe est cehsi de la partie imaginaire.
Notes 1.- Largument arg c = q du nombre complexe c = a + jb = lc\ e@ est 6gal h:
arctan (b/a) sia>O
7r+ arctan (b/a) sia<O, b20
–IT+ arctan (b/a) sia<O, b<O
rrf2 sia=O, b>O
–lr12 sia=O, b<Ooti –7r/2 < arctan x < Ir/2 conformement h ISO 31-11.
2.- La notion dargumcnt pcut s’appliqucr ii une grandeur scalairc complexe.
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IS 1885 (Part 72): 2008IEC6OO5O-101 :1998
101-11-08 argument (symbol: arg)
Real number p such that -n< qs X, for which the tangent is the ratio of the imaginary part to the realpart of a given non-zero complex number and for which the sign is that of the imaginary part.
Notes I. - The argument arg c = q of the complex number c = a + jb = IclCMis equal to:
arctan (b/a) ifa>O~ + arctan (b/a) ifa<O, b20
-n + arctan (b/a) ifae O,b<OlrJ2 ifa=O, b>O
-7r12 ifa=O, b<Owhere -7d2 c arctan x < rr/2 according to ISO 31-11.
2.- The concept of argument maybe applied to a complex scalar quantity.
101-11-09
101-11-10
ar
deesitjaplptSv
Argument (einer komplexen Zahl)argurmmto (5Mw1o: arg)argomentofRR(Wit:arg)
argunwnt (Iiczby zespolonej)argmnentoargument
grandeur scalairescalaire (nom masculin)
Grandeur pour laquelle la valeur num&ique est un nombre rtfel ou complexe unique.
Nofe. - Dans un espace tridimensionncl oit la notion de direction est dt$finie, le terrrte u grandeurscalairc >>est souvent restreint a unc grandeur ind6pcndante de la direction.
scalar (quantity)Quantity the numerical value of which is a single real or complex number.
Note. - In a three-dimensional space where the concept of direction is defined, the term “scalar quantity”is often restricted to a quantity independent of direction.
de skalare Grotle; Skalares magnitud ezealmy ezcalarit grandezza scalare, scalareja xXl?– (3)pl wielko$d skakuma; skalarpt grandeza escalar; escalarSv skalar (storhet)
grandeur vectoriellevecteurGrandeur representable par un t516mentd’un ensemble, darts lequel le produit d’un 616ment quelconque parun nombre soit r.4el soit complexe, ainsi que la somme de deux 616ments quelconques sent des 616mentsde l’ensemble.
Nofes 1.- Une grandeur vectorielle clans un espace h n dimensions est caractt%kle par un ensembleordonn6 den nombrcs r6els ou complexes, qui d6pendent du choix des n vczteurs de base si n estSupkit-icurii 1.
2.- Dans un espace rt$el A deux ou trois dimensions, une grandeur vectorielle est rcpn%entablepar un segment orient4 cwdct&is4 par sa direction et sa longueur.
3.- Une grandeur vectorielle complexe Vest di%nie par une partie rfelle et urte partie imagirtaire:V= A + jll oil A et B sent des grandeurs vectorielles r6elles.
4.- Une grandeur vectorielle est reprt5sent6e par un symbole litti%l en gras ou par un symbcde
surrnont6 dune fkche: V ou V
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IS 1885 (Part 72): 2008IEC6OO5O-101 :1998
101-11-10
101-11-11
101-11-12
vector (quantity)Quantity which can be represented as an element of a set, in which both the product of any element andeither any real or any complex number and also the sum of any two elements are elements of the set.
Notes 1.- A veetor quantity in an n-dimensional space is characterized by an ordered set of n real orcomplex numbers, which depend on the choice of the n base vectors if n is greater than 1.
2.- For a real two- or three-dimensional space, a vector quantity can be represented as anoriented line segment characterized by its direction and length.
3.- A complex vector quantity V is defined by a real part and an imaginary part:V= A + jll where A and B are real vector quantities.
4.- A vector quantity is$dicated by a letter symbol in bold-face type or by an arrow above a
letter symlxi: V or V .
Ye
es
itjaplptSv
+a (a+s)
vektorielle Gro13e;Vektorgro13enmgnitud veetorkd; veetorgrartdezza vettoriale, vettoreX9 F)b (s)wielko& wektorowa; wektorgrandeza vactorial; vectorvektor(storhet)
rnatrieeEnsemble ordonn6 de m x n &!ments, repn%.entd par un tableau de m Iignes et n colonrtes.
Nole. - Les 616ments peuvent Stre des nombres, des grandeurs scalaires, vectorielles ou tensorielles, desensembles, des fonctions, des op&ateurs ou m~me des matrices.
matrix
Ordered set of m x n elements represented by m rows and n columns.
Note. - The elements may be numbers, scalar, vector or tensor quantities, sets, functions, operators oreven matrices.
ar&j.&w
de Matrixes matrizit matriceja f77Upl maeierzpt rnatrizSv matris
grandeur tensorielle (du second ordre)tenseur (du second ordre)
Grandeur representable clans un espace h n dimensions par une matrice cade de n x n grandeurs n$ellesou complexes tm qui d6cnt une transformation lim%ire dun veeteur A en un vecteur B:
Bi = Zj tq Aj
tensor (quantity) (of second order)
Quantity characterized in an n-dimensional space by an n x n square matrix of real or complex quantities[@which describes a linear transformation of a vector A into a veetor B:
Bi = Z.j tvA)
ar
deesitjaplptSv
tensorielle GroBe (zweiter Stufe); Tenaorgrolle (zweiter Stufe)rnagnitud tensorial (de segundo orden); tensorgrandezza tensorkde (del secondo ordine); tenaore (del secondo ordine)
% > ‘) w (m (=zk@)wielkti tensorowa (drugiego rz@u); tensor (drugiego rz@u)grandeza tensorial (de segunda ordem); tensor (de segunda ordem)tensor(storhet)
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IS 1885 (Part 72) :2008IEC6OO5O-101 :1998
101-11-13 vecteur de baseDans un espace ~ n dimensions, chacun des 61ements dun ensemble de n grandeurs vectorielleslim%irement indc$pendantes.
Notes 1,- Pour unensemble donnkde vecteurs de base Al, A2, . .. An. toutegrmdeur vectorielle Vpeut i%e exprim~e de fagon univoque comme une combinaison lin&ire.
V=a1A1+af12 +... +aJn
oii al, a2, . . . an sent des grandeurs dent chacune a pour vateur num&-ique un nombre rt$elou complexe unique.
2.- On choisit gt%rehtement comme vectcurs de base, d¬6s el, e2, . en, des grandeursvectonelles rfelles osthonorm~es saris dimension.
3.- Dans un espace h trois dimensions, les vecteurs de base sent gh~ralement choisis parconvention de f~on h former un trkdre threct. 11speuvent gtre d6not& e,, eY,ez, ou i,j, k.
base vectorIn an n-dimensional space, one of a set of n linearly independent vector quantities.
Notes 1.- For a given set of base vectors A,, A2, . An, any vector quantity V can be uniquelyexpressed as a linear combination
V=alA1+ ayt2+... +afin
where al, a2, an are quantities, the numerical value of each being a single real orcomplex number.
2.- The base vectors are gcncratly chosen as real orthonorrnat vector quantities of dimensionone, denoted el, ez, en.
3.- In a three-dimcnsionat space, the base vectors are usually taken by convention to form a
right-handed ~hcdron. They can bc denolcd ex. ey ez, or iJ, k
ardeesitjaplptSv
Basisvektorvector de basevettore di base~~< P F Ji/
wektor podstawowyvector de basebasvektor
101-11-14 coordonn6e (dun vecteur)Chacune des n quantit6s al, az, . an caract&isant la grandeur vectorielle
V=alA1+ a-g12+... +a¬i Al, A2, . .. An. sent les vecteurs de base.
Note. - En anglais, le terme <<coordinate ~~est en@oy6 uniquement pour les coordonn6es d’un vecteur deposition.
component (of a vector)coordinate (of a vector)Any of then quantities al, a2, . an characterizing the vector quantity
V=alA1+ af12+... +a~nwhere A1, A2, . . . An, are the base vectors.
Note. - In English, the term “coordinate” is on]y used for tbe components of a position vector
7eesitjaplptSv
(d) Lg#:(4)JJ=-\
Koardirs&e (einer vektoriellen G~o13e)component (de un vector); coordenada (de un vector)conrdinata (di un vettore)
m (<9 F)bo)wsp61rz@m (wektora)coordenada (de urn vector)komponen~ koatilnat
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101-11-15
101.11.16
101-11-17
composante (d’un vecteur)Chacun des Wrnents d’un ensemble de grandeurs vectorielles lim%irement ind4pendantes dent la somrneest &gale Aune grandeur vectorielle donnee.
Nore. - Exemple: chacundes produits dune coordonn6e dune ~mdeurvectonelle pwlevecteur debmecorrespondent.
component vector (of a vector)One of a set of linearly independent vector quantities, the sum of which is equal to a given vectorquantity.
Note. - Example: anyofthe products ofacomponent ofavector quantity and the corresponding basevector.
ardeesitjaplptSv
Komponente (einer vektorieilen GroBe)component vectorial (de un vector)component (di un vettore)*&K7 )-W (<9 FWO)skladowa (wektora)component (de urn vector)komposant
somme (vectorielle)Grandeur vectorielle dent chaque coordonn6e est la somme des coordonnt$es correspondantes degrandeurs vectorielles donn6es.
(vector) sumVector quantity for which each component is the sum of the corresponding components of given vectorquantities.
mdeesitjap]ptSv
Vektorsummesums (vectorial)somma (vettoriale)(R9 FW) msums wektorowasoma (vectorial)vektorsumma
produit scalaireGrandeur scalaire A . B ddinie pour deux grandeurs vectorielles A et B, donntles clans un espacc ii ndimensions muni dc vcctcurs de base orthonor-nv%, par la somme des produits de chaque coordonn~c A,
de la grandeur A par la coordcmn~e corrcspondante Bi de la grandeur B :A . B = Xi Ai Bi.
Notes f. Lc produil scalairc ne ddpcnd pas du choix des vectcurs de base.
2.- Dtins un cspacc r~cl ~ dcux ou trois dimensions, Ie produit scalaire des grandeursvcctoricllcs esl Ic produit des norrnes des deux vccteurs par lC cosinus dc Ieur angle :
A. B= L411BIcos9.
3.- Pour dcux grandeurs vcctoricllcs complexes A ct B, on pcut selon l’application utiliser soit Ieproduit scalairc A . B, soit l’un des produits scalaires A . B* ou A* . B. La grandeur A . A*cst non negative.
4.- Le produit scalairc cst indiqtt~ par un point A mi-hauteur ( . ) entrc les deux symbolesrcprtscntant ICSvcctcurs.
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IS 1885 (Part 72): 2008IEC6OO5O-101 :1998
101-11-17 scalar productdot productScalar quantity A “ B defined for two given vector quantities A and i? in n-dimensional space withorthonormal base vectors by the sum of the products of each coordinate Ai of the vector quantity A andthe corresponding coordinate Bi of the vector quantity B: A “B = Zi Ai Bc
Notes 1.- The scalar product is independent of the choice of the base vectors.
2.- For a real two-or three-dimensional space, the scalar product of the vector quantities is theproduct of the magnitudes of the two veetors and the cosine of the angle between them:
A “B = IAI l~lCOS 8.
3.- For two complex vector quantities A and B, either the scalar product A “ B or one of thescalar products A . B* and A* . B may be used depending on the application. The quantityA . A* is non-negative.
4.- The scalar product is denoted by a half-line dot (.) between the two symbols representingthe vectors.
101-11-18
101-11-19
ardeesitJap]ptSv
skaklres Produktproducto escalarprodotto scalarexti5J-ailoczyn Skdarnyproduto escdarSkdiirprodukt
norme (d’un vecteur)module (terme dfumseil16 dam ce sens)
Grandeur sealaire non n6gative VI dent le earn5 est 6gal au produit scahdre d’une grandeur vectorielle V
par sa conjttgw%
Ivl.m=
Notes 1.- En math%natiques, la norme d&inie iei est la rtorim euclidienne. Dautres norrnes peuventi%redkfirnes.
2.- Dsns un espaee tiel h deux ou trois dimensions, la norrne dune grandeur veetorielle estrepr6sent& par la longueur du segment orientt? reprt%entant la grandeur vectorielle.
magnitude (of a vector)mcdulus (deprecated in this sense)
Non-negative scalar quantity PI, the square of which is equal to the scalar product of a vcetor quantity V
and its conjugate:
pq=m=
Nores 1.- In mathematics, the concept defined here is also called Euclidean norm. Other norms can bedefined.
2.- For a real two-or three-dimensional space, the magnitude of a vector quantity is representedby the length of the oriented line segment representing the vector quantity.
ardeesitjaplptSv
(4) J\&
Betrag (einer vektoriellen Grof3e)norms (de un vector); mddulo (u%rrtinodesacmtsejado en este sentido)norms (di un vettore)
WJff (~? b A4)dlugti wektow, modul (termin nie zalecany w tym sensie)norms (de urn vector); mddulo (de urn vector) (desaconselhado)belopp (av vektor)
vecteur unitiVecteur de norme uniti.
Note. - Un vecteur uniti est souvent repn5sent6 par e.
unit vectorVector of magnitude one.
Note. - A unit vector is often denoted by e.
ardeesitjaplptSv
u AjElnheitsvektor; Emektorvector unitariovettore uniti; versore@@< P b Jbwektor jednostkowyvector unitdrioenhetsvektor
8
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IS 1885 (Part 72): 2008IEC6OO5O-101 :1998
101-11-20
101-11-21
101-11-22
orthogonalQualifie deux vecteurs non nuls dent le produit scalaire est nul.
Note. - Dans un espace I-&l 5 deux ou tmis dimensions, des vecteurs orthogonaux sent aussi ditspeqnmdiculaires.
orthogonalApplies to two non-zero vectors the scalar product of which is zero.
Note. - In a real two-or three-dimensional space, orthogonal vectors are also called perpendicular.
adeesitjaplptSv
LaborthogonalOrtogonalortogonale
imortogonalnyortogonalortogonal
orthonorsmlQualifie un ensemble de vecteurs unite% rt%ls deux ?ideux orthogonaux,
orthonormalApplies to a set of real unit vectors which are orthogonal to one another.
ardeesitjaplptSv
ortonorrnaleiEBiiHE
ortonormalnyortonormadoortonormerad
angle (de deux vecteurs)
Grandeur scalaire (3 telle que O < 8 S n, dent le cosinus est le rapport du produit scakdre de deuxgrandeurs vectorielles rielles A et B donrkes au produit de leurs normes :
angle (between two vectors)
Scalar quantity 19such that O s 0< n, the cosine of which is the ratio of the scalar product of two givenreal vector quantities A and B to the product of their magnitudes:
ardeesit
japlptSv
(*)CXY?~jlj
Winkel (zwischcn zwci Vektorgro13en)ingulo (entre dos vectores)angolo tra due vettori
R (=90<9 FWfi~ti7-)kqt (miydzy dwoma wektorami)@do (dc dois vectores)vinkel (reel Ian tvi vektorer)
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IS 1885 (Part 72): 2008IEC 60050-101:1998
101-11-23 triidre directDans un espace h trois dimensions, ensemble de trois grandeurs vectonelles r6elles Iim%irementind6pendantes A,B, C, tel que, pourun observateur retardant darts la direction de C, la rotation dangleminimafqui amkne A sur B se fait danslesens desaiguilles dune montre.
Note. - hsgmdeurs vectonelles duntri5dre direct ontdesdirections quicomespondent respmtivementh celles du pouce (A), de l’index (B) et du majeur (C) de la main droite, lorsque le majeur pointe &angle droit des autres doigts.
right-handed trihedronIn a three-dimensional space, a set of three real linearly independent vector quantities A, B, C, such thatfor an observer looking in the direction of C, the rotation through the sndler angle from A to B isobserved to be in the clockwise sense.
Nore. - The vector quantities of a right-handed trihedron are oriented: the thumb (A), the forefinger (B)and the middle finger (~ of the right hand, when the latter (C) is pointing at right angles to theothers (A) and (B).
a-#l +1 y *M &x
de Rechtssystem; rechtshandiges Dreibeines triedro directoit triedro direttoja 6%%pl triada prawodaylnapt triedro directoSv hogertrieder
101-11-24 produit vectonelDans un espace il trois dimensions muni de vecteurs de base OrtbOIIOI-IIM?Sel, e2, q formant un tri?xfredirect, grandeur vectorielle A x B d&mie pour deux grandeurs vectorielles dom6es
A =Alel +A2e2 +A3e3 et B = Blel + Bp2 + B3e3par : A x B = (A2B3 – A3B2)e1 + (A3B1 – A, B3)e2 + (A1B2 – A2B1~3.
Notes 1.- Le produit vectoriel ne dkpend pas du choix des vecteurs de base.
2.- Le produit vectoriel est orthogonal aux deux grandeurs vectonelles donn~es.
3.- Pour deux grandeurs vectorielles r6elles,
– les trois grandeurs vectorielles A, B et A x B ferment un tri&dre direct ;
– la norme du produit vectoriel est le produit des normes des deux grandeurs vectoriellesdonn6es et de la vafeur absolue du sinus de leur angle: IA x BI = IAlW Isin 61.
4.- Pour deux grandeurs vectorielles complexes A et B, on peut selon ]’application utiliser soit
le produit vectoriel A x B, soit l’un des produits vectoriels A* x B ou A x B*.
5.- Le produit vectoriel est indiquf par une Croix ( x ) entre les deux symboies repri+sentant lesvecteurs. L’emploi du symbole A est d6conseill&
vector productcross productIn a three-dimensional space with orthonormzd base vectors e,, e2, eg forming a right-handed trihedron,vector quantity A x B defined for two given vector quantities
A =Ale, +A2e2+A3e3 and B = Blel + Byr2 + B3e3by: A x B = (A2B3 –A3B2)e1 + (A3B1 –A1B3)e2 + (A1B2 –A2B1)e3.
Notes 1.- The vector product is independent of the choice of the base vectors.
2.- The vector product is orthogonal to the two given vector quantities.
5’. - For two real vector quantities,
– the three vector quantities A, B and A x B form a right-handed trihedron;
– the magnitude of the vector product is the product of the magnitudes of the two givenvector quantities and the absolute value of the sine of the angle between them.
IA xBI=L41 I.Bllsinf31.
4.- For two complex vector quantities A and B, either the vector product A x B or one of the
vector products A* x B or A x B* may be used depending on the application.
5.- The vector product operation is denoted by a cross (x) between the two symbolsrepresenting the vectors. The use of the symbol A is deprecated.
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#\++ J.&
Vektorproduk~ vektorielles Produktproducto vectorialprodotto vettoriale<9 I-)ba
iloczyn wektorowyproduto vectoriafvektorprodukc kryssprodukt 10
!S 1885 (Part 72): 2008IEC6OO5O-101 :1998
101-11-25 616ment scalaire d’arc(symbole :ds)Grandeur scalaire associ~e ~ une courbe donn~e en uh point donn~, ~gafe 3 la longueur dun arcinfinit6simaf de la courbe contcnant Ie point.
scalar line element (symbol: &)
Scalar quantity associated with a given curve al a given point, equal to the length of an infinitesimalportion of the curve containing the point.
N
deesitjap]ptSv
skalares Linienelementelemento escalar de arco (simbolo:ds)elemento scalare d’arcoXti7-#!SX G!i%: ds)element skalarny Mmelemento escalar de arcobhgelement
m101-11-26 616ment (vectoriel) d’art
Grandeur vectorielle reelle tangente h une courbe orient& donrst% en un point donn~, dent la norme est laIongueur d’un arc infinit6simzd de la courbe contenant le point et dent la direction correspond Al’orientation de la courbe.
No[e. - Un 616ment vectonel d’art est d.%ign~ par [email protected], par tds ou par &, oil et = t est un vecteur unit~tangent h la courbe, ds un 6Ement scafaire d’art, dr la difft%entielle du rayon vecteur r d6cnvantla courbe par rapport ~ un point origine.
(vector) line elementReal vector quantity tangent to a given oriented curve at a given point, the magnitude of which is thelength of an infinitesimal portion of the curve containing the point and the direction of which correspondsto the orientation of the curve.
/Vole. - A vector line element is designated by etds, by tds or by dr, where et = t is a unit vector tangentialto the curve, ds is a scalar line element, &is the differential of the position vector r describing thecurve with respect to a zero point.
ardcesitjaplptSv
vektorielles L-inienelementelemento (vectoriaf) de arcoelemento (vettoriale) d’arco(K 7 F )b) WE%element wektorowy lukuelemento (vectorial) de arcob5gelementvektor
101-11-27 int6grale curviligneint6grale de Iigne1nt6grale 6tendue a un arc onent~ dune courbc, dent I’EIEment diff&entiel est soit le produit d’unegrandeur scalaire par I’dl&ment scalaire ou vcctoricl dare, soit le produit dune grandeur vectoriellc parI’c%rnent scalaire d’art, soit lC produit scalaire d’unc grandeur vectorielle par l’616ment vectoriel dare.
Note. - Cette int@rale peut ~tre une grandeur scafairc ou vcctonelle suivant la nature du produit consid6r6.
line integralIntegral in a specified direction along a portion of a curve, the differential element of which is either theproduct of a scalar quantity and the scalar or vector line element, or the product of a vector quantity andthe scalar line element, or the scalar product of a vector quantity and the vector line element.
Note. - This integral may bc a scalar or vector quantity according to the kind of product.
ardeesitjaplptSv
Lhienintegralintegral curvilinear; integral de linesintegrale di lines
%!s%calka krzywoliniowaintegral curvilineo; integral de linhakurvintegral; linjeintegral
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IS 1885 (Part 72) :2008IEC6OO5O-101 :1998
101-11-28 circulationGrandeur scalaire .5gale h l’int6grale de ligne dent l’616ment difft%entiel est le produit scalaire dunegrandeur vectorielle par l’616ment vectoriel dare.
Note. - En anglais, le termc <<circulation J,n’est employ6 que pour une circulation le long d’urscontour fersm$.
scalar line integralcirculationLine integral whose differential element is the scalar product of a vector quantity and the vector lineelement.
No[e. - In English, the term “circulation” is only used for a scalar line integral along a closed path.
101-11-29
101-11-30
de skalares Linienintegral; Urnlaufintegrales circulaci6nit integrale scalare di linesja X7J5-MRBpl cyrkulacjapt circula@o; integral de linha escalarSv skalar kurvintegral
Wrnent scalaire de surface (symbole : dA)Grandeur scalaire associ6e 5 une surface donnfe en un point dom6, 6gale A l’sire dun c%rnentinfinitesimal de cette surface contestant le point.
scalar surface element (symbol: dA)
Scalar quantity associated with a given surface at a given point, equal to the area of an infinitesimalsurface element containing the point.
ardeesitjaplptSv
(dA :>Jp@4J&l=+
skalares Flachenelementelemento escalar de supeficie (simbolo: dA)elemento scalre di supefilciexfJ5J-iEt3%E (%% : dA)elenwnt skalarny powierzchnielemento escalar de supeficieareaelement
61&ment (vectoriel) de surfaceDans un espace A trois dimensions, grandeur vectorielle r~elle normale h une surface donn6e en un pointdonn~, dent la norme est l’sire d’un EILmcnt infinitesimal de cette surface contenant le poinl,
Nofes 1.- La direction de I’&l&mentvectoriel de surface d6finit l’orientation de la surface en ce pointcomme hnt darts le sens inverse des aiguilles dune montre pour un observateur regardantclans la direction oppos~c de cellc du vecteur.
2, Un d~ment vectoricl de surface est dt%ign~ par endA ou par ndA, oh en = n est un vecteuruni td normal a la surface ct ou dA est un t%5ment scalaire de surface.
(vector) surface elementIn a three-dimensional space, real vector quantity normal to a surface at a given point, the magnitude ofwhich is the area of an infinitesimal surface element containing the point.
Notes 1.- The direction of the vector surface element defines the orientation of the surface at thatpoint as being in the anti-clockwise direction for an observer looking in the directionopposite to that of the vector.
2.- A vector surface element is designated by endA or by ndA, where en = n is a unit vectornormal to the surface and dA is a scalar surface element.
~eesitjap]ptSv
(&Ls4)++c
vektorielles Flachenelementelemento (vectorial) de supefi]cieelemento (vettoriale) di superficie
(d 9 b W) EEHelement wektorowy powierzchnielemento (vectorial) de supeficieareaelementvektor
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IS 1885 (Part 72): 2008IEC6OO5O-101 :1998
101-11-31
101-11-32
101-11-33
101-11-34
int6grale de surface[nt@rale Etendue h une portion d’une surface, dent l’616ment diff6rentiel est le produit dune grandeurscalaire ou vectorielle par l’616ment scahire ou vectonel de surface.
Note. - Cette int@rale pcut i%re une grandeur scalaire ou vectonelle suivant la nature du produitconsid&&
surface integralIntegral over a portion of a surface, the differential element of which is the product of a scalar or vectorquaritity and the scalar or vector surface element.
Note. - This integral may be a scalar or vector quantity according to the kind of product.
TeesitjaplptSv
Flachenintegralintegral de supertkieintegrale dl superllcie
ma53* pawierzdmiowaintegral de supertlcieytintegral
flux (d’une grandeur vectorielle)
lnt&rle de surface dent l’d~ment diff6rentiel est le produit scalaire dune grandeur vcctorielle parl’i516mentvectoriel de surface.
flux (of a vector quantity)Surface integral, the differential element of which is the scalar product of a vector quantity rmd the vectorsurface element.
ardeesitjaplptSv
FM (einer vekt&iellen Gro13e)flujo (de una magnitud vectorial)flusso (di una grandezza vettoriale)(N9 t’)b) R
strumieri (wielkoki wektomwej)fluxo (de uma grartdeza vectorial)vektorfiijde
int&rale de volumeIntegrale 6tendue h un volume donn6, dent l’61&nentdit%entiel est le produit dune grandeur scalaire ouvectorielle par I’EIEment de volume.
volume integralIntegral over a volume the differential element of which is the product of a scalar or vector quantity andthe volume element.
?CesitjaplptSv
V-olumeni~tegralintegral de vohunenintegrale di volume
BWWcalka obj@&lowaintegral de volumevolymintegral
champ (1)Etat d’un domaine d&ermin6 clans lequel une grandeur ou un ensemble de grandeurs li4es entre ellesexiste en chaque point et dfpend de la position du point.
Note. - Un champ peut rcpn%enter un ph6nomkne physique, comme par exemple un champ de pressionacoustique, un champ de pesarrteur, le champ magm$tique terrestre, un champ 61ectromagn&ique.
fieldState of a region in which a quantity or an interrelated set of quantities exists at each point and dependson the position of the point.
Note. - A field may represent a physical phenomenon such as an acoustic pressure field, a gravity field,the Earth’s magnetic field, an electromagnetic field.
ardeesitjaplptSv
JkFeldCampoCampo
%poleCamportilt 13
IS 1885 (Part 72): 2008IEC6OO5O-101 :1998
101-11-35 champ (2)Grandeur scalaire, vectonelleou tensonelle, qui existe en chaque point dun domaine d6termin6et quid6pend de la position de ce point.
Notes 1.- Un champ peut i%.reune fonction du temps.
2.- En anglais le terme a field quantity>, en frangais a grandeur de champ >>,est aussi utilis6pour dt%igner une grandeur telle que tension, courant, pression acoustique, champ61ectrique, dent le carr6 est proportionnel i une puissance clans les systkmes lim%ires.
field quantityScalar, vector or tensor quantity, existing at each point of a defined region and depending on the position
101-11-36
of the point.
Notes 1.-
2.-
ardeesit
japlptSv
A field quantity maybe a function of time.
In English the term “field quantity”, in French “grandeur de champ”, is also used to denote aquantity such as electric tension, current, sound pressure, electric field strength, the squareof which in linear systems is proportional to power.
aJk ~Fe1dgr6Be- (magsdbld)grandezza di camp, C2UIIP0
fammwielkoii polowagrandeza de caunpofiiiitatorhet
(op6rateur) nabla (symbole: V)Vecteur syrnbolique utilis4 pour d~noter des opt$rateurs dif%$rentiels scalakes ou vectoriels, s’appliquant iidcs champs scalaires ou veetoriels, et qui, en coordonm%s cart6siennes orthonornu%, est repn%enti par
V=exz+e ~+ez$ax J’ay
oh ex, ey, ez sent les vecteurs unitis des axes x, y, z.
nabla (operator) (symbol V)Symbolic vector used to denote scalar or vector differential operators operating on scalar or vector fieldquantities, and which, in orthonormal Cartesian coordinates, is represented by
V=ex&+eaa
Yay—+e%where ex, ey, ez arc unit vectors along the x, y, z axes.
esitjaplptSv
(v: >)) ( ;p) wDifferentialoperator; Nabla(-Operator)(operador) nabla (sfmbolo:V)operatore nabla; rtabla*75 (&&l+) (52% : v)(operator) nabla(operador) nablanablaoperatom
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IS 1885 (Part 72) :2008IEC6OO5O-101 :1998
101-11-37
101-11-38
gradientGrandeur vectonelle grad~ associee en chaque point h un champ scaiairc J, dent la direction CS[normalci la surface sur Iaquelle Ic champ a unc valcurconstante, clans Ie scns des champs croissants, CLdon[ lanormc CS[@gale h la valeur absolue dc la d&ivLc du champ par rapport a la distance clans ccttc directionnormatc.
Notes 1.- Le gradient exprime la variation du champ cntrc lC point donn6 et un point situd A uncdistance intiniksimale ds clans la direction d’un vecteur unit6 donncl e par Ic produit scalaircdj= grad f eds.
2.- En coordonrkes cam%iennes orthonorrmtes, lcs trois coordonn~cs du gradient sent :
af af af
ax ‘ ~’az
3.- Le gradient du champ f cst reprtscnti+ par grad f ou par V’
gradientVector quantity grad f associated at each point with a scalar field quantity f, having a direction normal tothe surface on which the ticld quantity has a constant value, in the sense of increasing value off, and amagnitude equal to the absolute value of the derivative of f with respect to distance in this normaldirection.
Notes 1.-
2.-
3.-
The gradient expresses the variation of the field quantity from the given point to apoint at inlini[esimal distance ds in the direction of a given unit vector e by the scalarproduct dj= grad ~- eds.
In orthonormal Cartesian coordinates, the three components of the gradient are:
af af af
ax’~’az
The gradient of the field quantity f is denoted by grad f or by VJ
ar #-4
de Gradientes gradienteit gradienteja WEpl gradientpt gradienteSv gradient
potentiel (scalaire)
Champ scalairc q, s’il cxistc, dent l’oppos6 du gradient est un champ vectoriel donn6fif=-gradq.
Notes 1.- On dit quc lC champ vectoricl donn6 d&ive du potentiel scalairc.
2.- Lc polcnticl scalairc n’cst pas unique puisqu’une grandeur scalaire constante quelconquepcut &rc ajout6c i un potentiel scalairc donn~ saris changer son gradient.
(scalar) potential
Scalar tield quantity qJ,when it exists, the negative of the gradient of which is the ticld quantity f of agiven vector Iicki:
f=-gradq.
Notes 1.- The given vector field is said to be dcnved from the scalar potential.
2.- The scalar potential is not unique since any constant scalar quantity can be added to a givenscalar potential without changing its gradient.
ar(&@) *
dc (skalares) PotentialCs potential (eScalar)it potenziale (scalare)ja (xti5-) *7>>-YWpl potencjal (skafarny)pl potential (escalar)Sv potential
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IS 1885 (Pari 72) :2008IEC60050-101 :1998
101-11-39 iquipotentielQualifie un ensemble de points qui sent tous au mSme potentiel scalaire,
equipotentialPertaining to a set of points d] of which are at the same scalar potentiaf.
ardeesitjaplptSv
-@I @jLaAquipotentialequipotenckdequipotenziale%d?7>vt)bekwipotencjalnyequipotencialekvipotentiell
101-11-40 divergenceGrandeur scalaire div f associ6e en chaque point h un champ vectoriel~, 6gale Ala limite du quotient duflux de la grandeur vectorielle sortant dune surface fet-rm$epar le volume limiti par cette surface lorsquetoutes ses dimensions g&om&.riques tendent vers Z(XO:
divj = lim~a~jf.endA
oil endti est Mk$ment vectoriel de surface et V le volume.
Notes 1.- En coordonn6es cart6siennes orthonorde.s, la divergence est:
2.- La divergence du champ jest repn%entke par divjou par V .f.
divergenceScalar quantity div~ associated at each point with a vector field quantity~, equal to the limit of the flux ofthe vector quantity which emerges from a closed surface, divided by the volume contained within thesurface when all its geodetical dimensions become intlrtitesimal:
div f = lim“+0 ~~f en dA
where endA is the vector surface element and V the volume.
Notes 1.- In orthonormal Cartesian coordinates, the divergence is:
Yeesitjap]ptSv
af. +afy ~ afzdivf=— —ax ay az
2.- The divergence of the field f is denoted by div f or by V.$
u~DivergenzdivergenciadivergenzaW&
dywergencjadiverg&seiadivergens
16
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IS 1885 (Part 72): 2008IEC6OO5O-101 :1998
101-11-41
101-11-42
rotationnelGrandeur vectorielle rot ~ associ6e en chaque point h un champ vectoriel ~, &gale h la limite du quotientde l’int.5grale, sur une surface ferm6e, du produit vectoriel du champ et de l’61&mentvectoriel de surfaceonent~ vers l’int&ieur, par le volume linrit.5 par la surface Iorsque toutes ses dimensions g60m¿cndent vers zt%o :
oh endA est l’616ment vectoriel de surface et V le volume.
Notes 1.- En coordonn6es cark%iennes orthononn6es, les trois coordons-kes du rotationnel sent :
afz Jfy afx afz afy afx—.— ——— ___ayaz’azax’axay
2.- Le rotationnel du champ~est repr6sent6 par rotf, par curl~ou par V x f.
rotationcurlVector quantity rot f associated at each point with a vector field quantity f, equal to the limit of theintegral over a closed surface of the vector product of the vector field quantity and the vector surfaceelement oriented inwards, divided by the volume contained within the surface when all its geometricaldimensions become infinitesimal:
Jrotf=/~O~ fxend A
where e#A is the vector surface element and V the volume.
Notes 1.- In orthonormal Cartesian coordinates, the three components of the rotation are:
afz afy af. afz dfy afx—.— ——— ___ayaz’azax’axay
2.- The rotation of the field f is denoted by rot f, by curlf, or by V x f.
J\J,> , J~:C Rotor; Rotationes rotationalit rotoreja EMp] rotacjapt rotationalSv rotation
potentiel vecteurChamp vcctoricl A, s’il cxistc, dent Ie rotationnel est un champ vectoricl donnd f:
J=rot A
Notes 1.- on di[ quc Ic champ vectoncl donne d&ivc du potentiel vecteur.
2. L.c poumticl vcctcur n’cst pas unique puisqu’un champ vectonel irrotationnel quelconquepcut ilrc aj(mtd a un potcmicl vccteur donn~ saris changer son rotationnel. Lc potentielvcclcur CS[souvcnt choisi de tcllc sorte quc sa divergence soit nulle.
vector potentialVector field quan~ity A, when it exists, the rotation of which is the field quantity f of a given vector tield:
Noles
3rdcesitjaplplSv
f=rot A
1.- The given vcclur field is said to be derived from the vector potential.
2.- ~c vector potential is not unique since any irrotational vector field quantity can be added10 a gi vcn vector potential without changing its rotation. The vector potential is oftenchosen so that its divcrgcncc is zero.
&&l *
Vektorpotentialpotential vectm-potenziale vettore<p 1.JL*7>->+W
potencjal wektorowypotential vectorvektorpotential
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IS 1885 (Part 72) :2008IEC6OO5O-101 :1998
101-11-43 laplacien (scalaire)
101-11-44
101-11-45
Grandeur scaiaire A~associt!c en chaque point a un champ scalaire $, d6finie par la divergence du gradientdu champ scalaire :
Af = div grad j.
Note. - En coordonn~es cark%iennes orthonorm~es, le Iaplacien scalaire est:
a2f + a2f + azfAf=— — —
ax2 ayz a#
Laplacian (of a scalar field quantity)
Scrdar quantity A~ associated at each point with a scalar field quantity J equal to the divergence of thegradient of the scalar field quantity:
Af = div gradj
Note. - In orthonorrnal Cartesian coordinates, the Laplacian of a scalar field quantity is:
ardeesiijaplptSv
a2f a2f + a2fAf. G+— —
ay2 az2
( Q+ w d ++ +>Y(skalarer) Laplace-Operator (angewandt auf eine skahtre FeldgrMe)laplaciana (eacalar)Iaplaciano (scalare)59597> (x*5’ -#o)laplasjan (skalarny)Iaplaciano (escalar)laplaceoperatorn (fdr skalttrfdt)
Iaplacien vectoriel
Grandeur vectorielle & associ~e en chaque point h un champ vectoriel ~, &gale A la dit%ence entre legradient de la divergence du champ vectonel et le rotatiomel du rcrtationnel de ce champ :
4= grad div~- rot rotf
Note. - En coordonn~es cark%iennes orthonorrm$es, les trois coordomEes du laplacien veetoriel sent :
a2fx + a2fx + a2fx a*fy * a*fy a2fy ~+~+ti—. ._ - +—ax2 ay2 az2 ‘ ax2 ay2 az2 ‘ ax2 ay2 az2
Laplacian (of a vector field quantity)
Vector quantity 4 associated at each point with a vector field quantity j, equal to the gradient of thedivergence of the vector field quantity minus the rotation of the rotation of this vector field quantity:
~= grad div~- rot rot~
Note. - In orthonormal Cartesian coordinates, the three components of the Laplacian of a vector fieldquantity are:
YeesitjaplptSv
a2fx + a2fx + a2fx a*fy + a*fy + a*fy , a*fz ~ a*fz; a*fz—— —— —.ax2 ay2 az2 ‘ ax2 ay2 az2 ax2 ay2 az2
(e J@ J Z++ ~>Y(vektorieller) Laplace-Operator (angewandt auf eine vektonelle Feldgr613e)laplaciana vectoriallaplaciano vettoriale575>7> (A? t’MifW)
laplasjan wektorowylaplaciano vectorialIaplaceoperatorn (for vektort%lt)
champ a flux conservatifchamp so16noYdalChamp caract&is6 par une grandeur vectorielle de divergence nulle.
zero divergence fieldsolenoidal fieldField characterized by a vector field quantity having zero divergence.
b
dc quellenfreies FeldCs campo de flujo conservative; campo adivergenteit campo solenoidaleja ~ c19i2&*pl pole bezihiilowept campo de fluxo conservative; campo solenoidalSv kiillfritt fait
18
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IS 1885 (Part 72): 2008IEC6OO5O-101 :1998
101-11-46 champ irrotationnelChamp caracteris& par unc grandeur vcclonelle de rotationnel nul.
irrotational fieldField characterized by a vector tield quantity having zero rotation.
ardeesitjaplptSv
@J,> # J&wirbelfreies Feldcampo irrotaciomdcampo irrotazionale~?i I/gpole bezwirowecampo irrotacionalvirvelfritt f7alt
101-11-47 Iigne de champDans un champ vectoriel, courbe dent la tangente en chaque point a time support que Ie champ en cepoint.
field line
In a vector field, a path for which the tangent at each point is parallel to the field quantity at that point.
ardeesitjap]ptSv
J% kFeldlinielima de eampolines di campo#fHls
Iinia polalinha de eampofaltlinje
19
IS 1885 (Part 72): 2008IEC6OO5O-101 :1998
SECTION 101-12- NOTIONS RELATIVES A L’INFORMATION
SECTION 101-12- CONCEPTS RELATED TO INFORMATION
101-12-01(ISO/lEC 2382-1
-01.01.01)(701 -O!-01 MOD)
101-12-02(701 -01-02 MOD)(702-04-01 MOD)
101-12-03(lSO/IEC 2382-1
-01.01.02)(701 -01- II MOD)
informationConnaissance concemant un objet tel qu’un fait, un &Snement, une chose, un processus ou une id6e, ycompris une notion, et qui, clans un contexte d&ermin& a une signification particuli&e.
informationKnowledge concerning objects, such as facts, events, things, processes, or ideas, including concepts, thatwithin a certain context has a particular meaning.
Ob+
$e Informationes informacibnit informazione
ja M%pl informacjapt inforrn+oSv information
signalPh6nom&ne physique dent la pn%ence, I’absence ou les variations sent consich%$escornme reprt%entantdes information.
signalPhysicaf phenomenon whose presence, absence or variation is considered as representing information.
ar 6J21de Signales Seiialit segnafeja %3%p] Sygnafpt sinalSv signal
donnkesRepr6scntation r6interpr6table dune information sous une forrne conventiomellecommunication, i2l’interpretation ou au traitement.
dataRcinterprctablc representation of information in a formalized manner suitable forinterpretation, or processing.
al&
:C Datenes datesi[ datija ~—y
pl danept dadosSv data
●
*
convenant ~ la
communication,
20
IS 1885 (Part 72): 2008IEC6OO5O-101 :1998
101-12-04 code(70 L03-t17M0D) Ensemble dc r~gles d6tinissant une corrcspondance biunivoque entrc des information et leur(702-05-11 MOD) rcpr6sentation padescmact&res, dcssymboles oudes61&ments designd.
codeSet of rules defining a one-to-one correspondence between information and its representation bycharacters, symbols or signal elements.
ar ~+de Codees Ciidigoit codiceja
kod ‘3—
p]pt c6digoSv kod
101-12-05
101-12-06
101-12-07
analogiqueQualifie la representation dinformations au moyen dune grandeur physique susceptible ii tout instantd’un intervalle de temps continu de prendre une quelconque des vafeurs d’un intervafle continu de vafeurs.
Note. La grandeur consid~rile peut, par exemple, suivre de faqon continue les vafeurs dune autregrandeur physique repn%entant des infortnations.
analogue
analog (US)Pertaining to the representation of information by means of a physicrd quantity which may at any instantwithin a continuous time interval assume any vafue within a continuous intervaf of vafues.
No[e. - The quantity considered may, for example, follow continuously the vafues of another physicafquantity representing information.
ar +bde analoges anakigicoit analogicoja 7’*U7p] anafogowypt anaf@icoSv analog
valeur discr~teL’une des vafeurs d’un ensemble dt%ombrable de vafeurs qu’une grandeur peut prendre.
discrete valueOne vafue in a countable set of values that a quantity may take.
de d-iskreter Wertes valor dkcretoit valore discreto
p] wart& dyskretnapt valor dlscretoSv diskret varde
numikiqueQualifie la representation d’informations par des tlats distincts ou des valeurs discrktes.
digitalPertaining to the representation of information by distinct states or discrete values.
ardeesitjaplptSv
+digitaldigitafnumerale; d@ale?-i~p)bcyfrowydigital; num&icodigital
21
IS 1885 (Part 72) :2008IEC6OO5O-101 :1998
101-12-08 hybride (pour la representation dinformations)Qui combine reprt%entation anatogique et reprt%entation num&ique des informations.
hybrid (for representation of information)Pertaining to a combination of anafoguc and digital representation of information.
ardeCsitjapiptSv
LJE-hybnd (beziiglicb der Darstellung von Information)Idx-ido (para la rcpresentacion de informaci6n)ibrido,.~yl) .7 ~ (Rl$l%%%itz)t:bo)hybrydowyh]%rido (para a reprcscntag~o de informagiio)hybrid
101-12-09 logiqueQuatitie une transformation dtterrnin~e d’un nombrc fini de variables d’entr6e h valeurs discrktes en unnombrc .fini de variables de sortie i vateurs discr&tes.
logicPertaining to a defined transformation of a finite number of inputs with discrete values to a tinite numberof outputs with discrete values.
8
afJ-de logisches 16gicait Iogicoja 333!pl Iogicznypt 16gicoSv logik
22
IS 1885 (Part 72) :2008IEC6OO5O-101 :1998
SECTION 101-13- DISTRIBUTIONS ET TRANSFORMATIONS INTEGRALS
SECTION 101-13- DISTRIBUTIONS AND INTEGRAL TRANSFORMATIONS
101-13-01 distributionFonctionncllc lin~airc continue qui associc un nombrc rtel ou complcxe a toutc fonction de variablerclcllc ou complcxc appartenarn 5 la classc des fonctions indtltiniment derivable nulles en dehors d’unintcrvallc ou domainc bomc.
Notes 1.- La d~linition provicnt dc I’ouvrage original dc Laurent Schwartz. Le terme <<fonctionnelle ,,dcsignc une fonction associant un nombre ~ une fonction de variable rclelle ou complexc.
2.- Unc fonctio~ D(x) pcut 5tre consid&tle comme une distribution D associant h une fonctionfix) la valeur
+=
D(f) = j D(x)~(x)d .x
si cetle int@dc cxiste.
3.- La dt%iv6c dune dishibution D est un autre distribution D’ d6tinie pour toute fonction x.x)
pm D’(f)= -D(dj7cLx).
distributionContinuous linear functional which assigns a real or complex number to any function of a real or complexvariable in the class of in finitel y differentiable functions vanishing outside a bounded interval or domain.
No[es 1.- The definition is derived from the origirad work by Laurent Schwartz. The term “functional”designates a function assigning a number to a function of real or complex variable.
2.- A function D(x) can be considered as a distribution D assigning to a function X.x) the value
ardcesitjap]ptSv
W)= j Mx)f(x)d x
if this integral exists.
3.- The dcriva[ive of a distribution D is another distribution D’ defined for any funclion .flx) byD’(/) = -D(dj7dx).
Distributiondistribuci6ndistribuxione536dystrybucjadistribui@odistribution
23
IS 1885 (Part 72) :2008IEC6OO5O-101 :1998
101-13-02 (fonction) 6chelon uniti (symbole : E(x) )fonction de HeavisideFonction nulle pour toute valeur n6gative de la variable indc$pendante et 6gale h l’unitf pour toute valeurpositive.
Notes 1.- E(x–xO)represent un 6chelon unit~ h la valeur ~ de la variable indt5pendante x.
2.- La notation H(x) est aussi utilis~e. La notation O(t) est utilis6e pour la fonction Echelonunit~ du temps. La notation Y(x) a aussi tl~ utilist%.
unit step function (symbol: ~(x) )Heaviside functionFunction, zero for all negative vafues of the independent variable and equal to unity for all positivevalues.
101-13-03
101-13-04
No[es 1.- E(x–~) denotes a unit step at the value ~ of the independent variable x.
2.- Notation H(x) is also used. Notation O(l) is used for the unit step function of time.Notation Y(x) has also been used.
de Ekheits-Sprungfunktion; Heaviside-Funktiones (funcidn) esca16n unidad (simbolo: E(x)); funcion de Heavisideit funzione gradino unitario; gradino unitario; funzione di Heaviside
ja l#tix7.,71#1* (Z%; & (x) ) i Ak-v< Fp4#lp] skok jednostkowy Heaviside’a; funkcja Heaviside’apt degrau unitirio; funqiio de HeavisideSv Heavisides stegfunktion
6chelon unit6 g6n6ra1is6Fonction 6gale h une constante pour toute valeur negative de la variable ind~pendante et &gale i cetteconstante augment6e d’une unit~ pour toute valeur positive.
Note. - c + E(x), ofi c est une constante et E(x) est la fonction fchelon unit6, repr6sente un Echelon unit6gf$n6ralist$.
general unit step functionFunction having a constant value for afl negative values of the independent variable and a value increasedby one unit for all positive values.
Note. - c + E(X) denotes a general unit step function where c is a constant and E(x) is the unit stepfunction.
ardeesitjaplptSv
allgemeine Elnheits-Sprungfunktionescah5n unidad generakadogradino unitario generalizzato–#lJ+ltix? Y YM%fiskok jednostkowydegrau unitdrio generalizadogenerell enhetsstegsfunktion
rampe unitkFonction continue nulle pour toute valeur rkgative de la variable ind6pendante et croissant litu%irementavec une pente Egafe ~ un pour Ies vafeurs positives de la variable independante.
Nofe. - La rampe unit6 peut .$tre repr6sent6e par x E(x), oti E(x) est la fonction 6chelon unit6.
unit rampContinuous function, zero for all negative values of the independent variable and increasing linearly witha slope equal to one for positive values of the independent variable.
Note. - The unit ramp may be denoted x E(x), where &(x)is the unit step function.
7eesitjaplptSv
linearer Anstiegsvorgangrarnpa unidadranma unitaria
nachylenie jednostkowerarnpa unitiriaenhetsramp
24
IS 1885 (Part 72): 2008IEC6OO5O-101 :1998
101-13-05 signum(syrnbole: sgn)fonction signeFonction dune variable reelleayant lavaleur-1 pour toutevafeur n6gative delavariable, +l pour toutevafeur positive et O lorsque la variable est nulle.
signurn (symbol: sgn)Function ofa real variable equal to -1 forafl negative values of the variable, +1 forall positive valuesand O for the zero vafue.
ardeesitjap]ptSv
Signum(funei6n) signo (simbolo: sgn)segno; funzione segno.>7+Lfunkcja signumsignum; funqiio sinalsignum
101-13-06 distribution de Dirac (symbole: 5)impulsion unitipercussion uniti
Distribution S associant h toute fonctionflx), continue pour x = O, la valeurflO).
Notes 1.- La distribution de Dirac peut ~tre consid~r6e comme la Iimite d’une fonction nulle en dehorsd’un petit intervalle contenarrt f’origine, positive clans cet interval}e, et dom l’int@rale restet$gafe h I’unitc$Iorsque cet intervdle tend vers zero.
2.- La distribution de Dirac est la d6riv6e de la fonction fchelon unit~ consid6r6e comme unedistribution.
3.- La distribution de Dirac peut Stre d6finie pour toute valeur XOde la variable x. La notationusuelle est :
f.fkt) = ~(~- xo)~(x)dx
Dlrac function (symbol: 5)unit pulseunit impulse (US)
Distribution b assigning to any function fix), continuous for x = O, the valucflO).
Nores 1.- The Dirac function can bc considered as the limit of a positive function, equal to zerooutside a small interval containing the origin, and the integral of which remains equal tounity when this interval tends to zero.
2.- The Dirac function is the derivative of the unit step function considered as a distribution.
3.- The Dirac funclion can bc defined for any value ~ of the variable x. The usual notation is:
ardeesitjapiptSv
( d : >)) Al>s als: w a-j&Distribution; Dirac-Distribution; idealer Einbeitsstollfunei6n de Dirac (sfmbolo: 5); impufso unidaddistribuzione di Dirac; impulso unitario?4 5 Y 91Ul#! : *f@{J~x
funkcja Diraea; impuls Diraea; impuls elementaryimpulso unitirio; distnbuiqiio de Dkac; funqilo de DiracDlracs deltafunktion 8
25
IS 1885 (Part 72) :2008IEC6OO5O-101 :1998
101-13-07 doublet unit6 (symbole : 5’)Distribution qui est 1a d6riv6e de la distribution de Dirac.
Note. - Le doublet unit6 permet dexprimer la valeur pourpourx=~:
+~.
~ de la d6riv6e dune fonction j(x) d~rivable
101-13-08
101-13-09
f’(X~) =+’ (.x - xO)~(x)dx
unit doublet (symbol: 5’)Distribution being the derivative of the Dirac function.
Note. - The unit doublet can be used to express the vafue for ~ of the derivative of a function Xx)differentiable at ~:
f(X~) =-]”?J’ (X - xO)~(x)dx
ar (# : >}1 ) b,>> ;&,
de Ableitung der &Dktnbution; idealer Einheits-Wechselstolles doblete unidad (sfmbolo: 3’)it doppietto unitarioja BW$7P’Y 1’p] dipldspt doblete unitirioSv enhetsdublett
serie de FourierRcpr6sentation d’une fonc[ion pdriodiquc par 1a sommc dune constante, Sgale h la vafeur moyenne de lafonction, et d’une sckie de terms sinusoidaux dent Ics fr~qucnces sent des multiples de la fr6quence de lafonction.
Fourier seriesRepresentation of a periodic function by the sum of its mean value and a series of sinusoidal terms thefrequencies of which are integral multiples of [he frequency of the function.
ar >J# ~de Fourier-Reihees serie de Fourierit serie di Fourierja 7– 1)Z&#(pl sz.ereg Fourierapl s6rie de FourierSv Fourier-serie
transform6e de Fourier
Pour unc fonction rdcllc ou complcxc fl[) dc la variable reelle I, fonction complexc F(j@ de la variablereeilc O, donnde par la transformation intcgrale
+-
JF(jtn) = f(t)e-~~l dt
—-
Nofe. - La variable ar rcpri%ente la pulsation.
Fourier transform
For a real or complex function xl) of the real variable f, complex function F(jm) of the real variable @given by the integrat transformation
Note.
ardeCsit
jap]ptSv
t-
The variable o represents angular frequency
>J~ ~-$Fourier-Transformiertetransformada de Fouriertrasformata di Fourier
7– 1).x E*transformata Fourieratransformada de FourierFourier-transform 26
●
●
s
IS 1885 (Part 72): 2008IEC6OO5O-101 :1998
101-13-10 transformie inverse de FourierRepr6scntation dune fonction r&llc ou complexeflt) de la variable r~elle I par la transformation int6grale
oh F(jojest latransform6c de Fourier delafonction.
inverse Fourier transform
Representation of a real or complex functionflt) of the real variable t by the integraf transformation
where F(j co)is the Fourier transform of the function.
yeesit
japlptSv
Qs-=~3,9 J&FonrierintegraJ inverse Foorier-Tramvforniertq M@ahnkb ‘on der Fourier-Transformiertentransformada inversa de Fouriertrasformata inversa dI Fourier
7- IJ@l!2!Hl!transforrnata Fouriera ndwrotnatronsforrnada inversa de Fourierinvers Fourier-transform
101-13-11 transforrde de LaplacePour une fonction r6elle ou complcxe flf) de la variable rc%lle t,fonction F(s) de la variable complexes,donn~e par la transformation int@rale
+=
F(S) = ~ ~(t)e-~tdf
oNote. - La variables repr6sente la pulsation complexe.
Laplace transformFor a real or complex function At) of the real variable t,function F(s) of a complex variables given by theintegral transformation
+=-l
JF(s) = f(t)e-sfdt
oNote. - The variables represents the complex angular frequency.
ardeesitjaplptSv
L~place-Transformiertetransformada de Lapfacetrasformata di Laplace5Y?XE*
transformata Laplace’atransformada de LaplaceLaplace-transform
27
IS 1885 (Part 72) :2008IEC6OO5O-101 :1998
101-13-12 transform6e inverse de Laplaceintigrale de Mellin-FourierRepresen~tion dune fonction rAlleou complexcflr) dclavtiable r6ellef pmlawmsfomation int~ JC
o+i~
f(t)=+ Jks)c%isG–j-
ofi F(s) est la transform6e de Laplace de la fonction et oii CJest sup%ieur ou 6grd ii I’abmsse deconvergence de F(s).
inverse Laplace transformRepresentation of a real or complex fimctionflt) of the real variable r by the integral transformation
rs+j-
where F(s) is the Laplace transform of the function and where Ois greater or equal to the abscissa ofconvergence of F(s).
ardeesitjap]ptSv
inverse Laplace-Transformierte; Originalfunktion der Laplace-Transformiertentransformada inversa de Laplacq integral de Mellin-Fouriertrasformata inversa di Laplace575 XE3H4?
transformata Laplace’a odwrotna; calka Mellina-Fourieratransformada inversa de Laplaceinvera Laplace-transform
101-13-13 transform% en ZPour une fonction rt$elleflrr) dune variable entitie n, fonction F(z) dune variable complexe Z, donrke par
F(z) = ~f(n)z-nn=i)
z-transformFor a real functionflrr) of a variable integer n, function F(z) of a complex variable z given by
F(z) = ~f(?l)z-n“=0
Z-J>Ye Z-Transformiertees transformada Zit trasformata Zja z E&lp] transformata z
b
*
pt transformada em zSv Z-transform
28
IS 1885 (Part 72): 2008IEC 60050-101:1998
101-14-01
SECTION 101-14- GRANDEURS DEPENDANT D’UNE VARIABLE
SECTION 101-14- QUANTITIES DEPENDENT ON A VARIABLE
r6gime t%ablir&inse permanentIkt dun syst?me physique clans lequel les caractt%istiques pertinences restent constants clans le temps.
steady State
State of a physical system in which the relevant characteristics remain constant with time,
~eesitjaplptw
statiordirer Zustand; Bebarrungszustand
en pe~nteregime stazionario
Z?%*%!Stan Ustabmyregime pes%mente; estado estabelecidostationiirt tillsbind
101-14-02 transitoire (adjectif et nom)(702-07-78 MOD) Se dit d’un ph6nom&ne ou dune grandeur qui passe dun rt$gime t5tabli ?sun autre r~gime 6tabli cons~cutif.(161-02-01 MOD)
transient (adjective and noun)Pertaining to or designating a phenomenon or quantity which passes from one steady state to anotherconsecutive steady state.
~eesitjaplptSv
tr~len~ Ubergangstransitorio (adjetivo y nombre)transitorio
%!s&tam anieustalony; przejtiowytransitckio (adjectivo e substantive); transiencetransient
101-14-03 oscikntAltemativement croissant et dtiroissant.
OsciBatingAlternately increasing and decreasing.
ardeesitjaplptSv
+&boszillierend; schwingendOscilanteoscillatorio%EJJINtl-
oscyhsj~~ drgaj~cyOsciblntesviingande; osciUerande
101-14-04 oscillation(702-02-01 MOD) Ph6nomkne physique cas-actkris6par une ou plusicurs grandeurs akernativement croissants et dt%roissarn-es.
Note. - Lc terme oscillation dtsigne aussi un cycle dun tel phhomtme.
oscillationPhysical phenomenon characterized by one or more alternately increasing and decreasing quantities.
Nofe. - The term oscillation is also used to designate one cycle of the phenomenon.
ardeesitjaplptSv
Schwingungoscik%noscillazioneIta!loscylacje; drganieoscil+osvangning 29
IS 1885 (Part 72) :2008IEC6OO5O-101 :1998
101-14-05 ap&iodiqueQualilie un passage non-oscillant d’un rdgimc clabli a un autrc.
aperiodicPertaining [o a non-oscillating change Irom onc steady slalc to another.
ardeesiljaplplSv
GJy vaperiodkchaperhidieoaperiodic
3H9%lKffiaperiodyezny; nieokresowyaperkklicoaperiodisk
101-14-06
101-14-07
101-14-08
p&idlqueQui sc rcprodui[ idcntiquement pour des valeurs en progression arithm6tique de la variable indt$pendante.
periodicIdentically recurring at equal intervafs of the independent variable.
ardeesitjapiplSv
6J~>periodischperi6dicoperiodico
RllW?3tiperiodyczny; Okresowyperi6dicoperiodisk
p&-iodeDifference minimale entre deux valcurs de la variable indi$pendante pour lesquelles se reproduisentidentiquemcnt Ies vafcurs d’unc grandeur p.4riodiquc.
Nole. Le symbole T est utilise pour repr6sentcr la @node Iorsque la variable ind6pendante est le temps.
periodSmallest difference between two values of the independent variable at which the values of a periodicquantity arc idcnticafly repeated.
No/e. The symbol T is used for the period when the independent variable is time.
ardcesitjaplptSv
;JyPeriode; Periodendauer; PeriodenEangeperiodoperiodoElmOkresperiodosvangningstid; period
fr6quence (symbolc :flInverse de la gx%iode.
Note. - Le symhole~est utiliscl principalement lorsque la p&iode est un temps.
frequency (symbol: NThe reciprocal of the period.
Note. - The symbol~is mainly used when the period is a time.
ardeesitjap]ptSv
(f:>}l)s>j
Frequenzfreeueneia (simfxdo:flfrequenzaEJ?W%!cz@Qtliwo&frequihiafrekvens
30
IS 1885 (Part 72) :2008IEC6OO5O-101 :1998
101-14-09(702-04” 17 MOD)
101-14-10
101-14-11
101-14-12
synchroneQualitic chacun dc dcux ph6nom&ws variables clans Ie temps, de deux trames temporelles ou de deuxsignaux dent les instants significaLifs homologies sent tous simultan6s ou sepaks par des intervalles detemps de dut+e pratiqucment constante.
synchronousQualifying two time-varying phenomena, time scales or signals chaneterized by corresponding significantinstants which arc simultaneous or separated by time intervals of a substantially constant duration.
&lp
“Ye synchrones sincronoit sincronoja m%l Lkpi synehronicznypt sincronoSv synkron
valeur instantan6e
Valeur, h un ins[ant donnd, d’unc grandeur variabk clans k temps.
instantaneous valueThe value, at a given instan[. of a time-dcpcndcnt quamity.
ar +)4-LJde AugenbIickswcrC YlomentianwertCs vator instantinenil valore istantaneoja F$@Hilip] wartoic ustalorwpl valor instantineoSv momentanvarde
valeur de cr~teValcur maximalc d’unc grmdcur ckms un intcrvallc dc temps sptcifi6.
Nole, Dans Ic cas d’unc grandeur phiodiquc, l’inlervalle dc temps a une dur~e 6gale 5 la p&-iode.
peak valueMaximum value of a quan[i[y during a spccificd time interval.
Note. - For a periodic quantity, lhc time interval has a duration equal to the period.
(4+ + ~
7C Maximalwert; SpitzenwertCs valor de crests; valor de picoit valore di crests; valore di piccoja F–9Rpl wartoid wczytowapt valor de picoSv toppvarde
valeur de creuxValcur minimale d’unc grandeur clans un intcrvalle de temps sp6cifi&
Nole. - Dans ICcas dune gmndcur p&iodique, l’intervalle de temps a une dur6c Egale h la pt%iode.
valley valueMinimum value of a quantity during a specified time interval.
Note. For a pcnodic quantity, the time interval has a duration equal to the period.
(~u) ~+ Q
Ye Minimalwert; Talwertes valor de vaneit valore di picco negativoja W&JiEipl warto.$c siodlowapt valor de cavaSv dalvarde
31
IS 1885 (Part 72) :2008IEC6OO5O-101 :1998
101-14-13
101-14-14
valeur de cri%ea creuxvaleurde crtteacr~te (tcrmcddsuet)
Di ffercncc cntre Ics valeurs de criitc et de crcux clans lC m~me intcrvalle de temps sp6citiL
Note. Danslecas d'uncgrandeur pLnodiquc, l'intcrvalle detcmps aunedur6e 6gde AlapLriode
peak-to-valley valuepeak-to-peak value (obsolete)Difference between peak and valley values during the same specified time interval.
Note. Forapcriodic quantity, tbctime intcrvalhas aduration cqualtothepcriod,
ardeesitjap]ptSv
p-%ub!~Schwingungsbreite; Schwankung; Spitze-Tal-Wertvalor de crests a vanevalore picco-piccoE-5’ e–?
warttic szczytowo-siodlowa; wartosc mi~dzyszczytowa (termin nie zafecany w tym sensie)valor de pico a cava; valor de pico a pico (obsoleto)topp-till-dalvarde
(valeur) moyenne(valeur) moyenne arithm6tique1) Pour n grandeurs xl, X2, x., quotient de la somme des grandeurs par n :
Y=~(x1+x2+... +xn)n
2) Pour une grandeur d~pcndant d’une variable. quotient de l’int6grale de la grandeur entre deux vafeursdonn6es de cette variable par la diff&ence des deux vafeurs :
t~1
Y=—J
x(t)dttz – tl
t,
Notes 1.- Dans le cas dune grandeur p&iodique, l’intervalle dint6gration comprend un nombre entierde pt%iodes.
2.- La vafeur moyenne de la grandeur X est repr6sent6e par ~, par (X) ou par XV
mean (value)(arithmetical) mean(arithmetical) average1) For n quantities xt, x2, . Xn,quotientof the sum of the quantities by n:
—1x=–(x~+x~+... +xn)
n2) For a quantity depending on a variable, integral of the quantity taken between two given vafues of the
variable, divided by the difference of the two values:
!21
Y=—J
x(t)dttz– 21
t,
Notes I. - For a periodic quantity, tbe integration interval comprises an integral number of periods.
2.- The mean vafue of the quantity X may be denoted by ~, by (X) or by Xa
Yeesitjap]ptSv
&pM+-h#
(arithmetischer) Mittelwertvalor medio; media; valor medio arit.rm%cw,media aritmi%icavalor medlo; media (aritmetica)%% (@i)srednia arytmety~, (wartckc) sredniavalor m6dlo; mi%iia(aritsm%ica)aritmetiskt medelvarde
32
IS 1885 (Part 72): 2008IEC6OO5O-101 :1998
101-14-15
101-14-16
(valeur) moyenne quadratique (indite : q)
1) Pour n grandeurs xl, X2, Xn,racine carke positive de la vafeur moyenne de Ieurs carn$s :
r, ltl?
1Xq= -%;+X;+... +X;)I2) Pour une grandeur x fonction de la variable t, racine ca.rm%positive de la valeur moyenne du carr~ de
la grandeur prise sur un intervalle donn~ de la variable :
Xq:[_,[x(t)ldt]
t/2to+T
1 2
TL 10 J
Note. - Darrs Ie cas d’une grandeur p6riodique, l’intervafle dint6gration comprend un nombre entier depenodes.
root-mean-square value (1) (subscript: q)rms value (1)quadratic value
1) For n quantities xl, X2, . xn, positive square root of the mean vafue of their squares:
[
I/2Xq= ~(x~+x;+...+x:)
n 12) For a quantity x depending on a variable t,positive square root of the mean vafue of the square of the
quantity taken over a given interval of the variable:
[1
V2to+T
1Xq= ~
j[ 1X(t) 2 dt
b
Note. - For a periodic quantity, the integration interval comprises an integral number of periods.
M
deesitjaplptSv
quadratischer Mittelwert –vafor medio cuadratico (subindicc: q)valore medio quadratic; media quadratic=%%Mli&
Srednia kwadratowavalor quadratic medio; midia quadratickvadr’’tiskt medelvarde
valeur efficacePour une grandeur ddpendant du tcmps, racinc carr(te positive de la valeur moyenne du carr~ de lagrarrdcur sur un intcrvallc dc tcmps donn~.
Noles 1.- Dans lc cas d’unc grandeur pdriodiquc, I’intervallc dc temps comprcnd un nombre enticr dcpcnodcs.
2.- Pour unc grandeur sinusoidal a(f)= Am cos (O f + ~), la valcur eflicacc cst A = A# W
root-mean-square value (2)rms value (2)effective valueFor a time-dcpcndcnt quantity, positive square root of the mean value of the square of the quantity takenover a given time inLcrval.
No[es 1.- For a periodic quantity, the time interval comprises an in~egral number of pcnods,
2.- For a sinusoidal quantity a(t)= Am cos (W I + ~), therms value is A = A#fi
ardcesitjap]ptSv
(Y) k%> +-s- L.AJ.A &+jJl yiAl : ilk Q
Effektivwertvafor eficazvalore efficace
$%fffiwartoic skutecznavalor eficazeffektivvarde
33
IS 1885 (Part 72) :2008IEC6OO5O-101 :1998
101-14-17 (valeur) moyenne giomitrique (indite :,g)
1) Pourngrmdeurs positives x1, x2, . ..xn. racinen-i&me positive deleurproduit:
Xg = (XlXl... ..xn)lJn
2) Pour unc grandeur x fonction de la variable r, grandeur Xg d6termin6e 2 partir des vateurs de 1agrandeur x(t) par I’expression
T
J
x(t) ~t‘g – 1 log_log —–—Xmf T x~f
oOh~ef est une vafeur de r&f6rence.
Note. - Dans le cas d’une grandeur p6riodique, l’intervafle dint@ration comprend un nombre entier dept%iodes.
geometric average (subscript: g)logarithmic average$:eometri~ mean v~ue
1) For n positive quantities xl, X2, Xn, positive nth root of heir product:
Xg = (XI-X2...xn)i)n
2) For a quantity x depending on a variable t, quantity Xg calculated from the values of the givenquantity by the expression
T
Jx(t) ~ ~‘g – 1 log_log—–—
Xmf T x refowhere ~f is a reference vatue.
No/e. - For a periodic quantity, the integration intervat comprises an integraf number of periods.
N (g:Y}~)&Q~Y’&-J~J~P’G~~* Qde geometrischer Mittelwertes media geomt%rica;vator medio geom&trico (subindice: g)it media geometric; valore medio geometricja #l%F@p] irednia geometrycznapl valor m~dio geom6trico; mcldla geom6tricaSv geometrikt medelvarde
101-14-18 (valeur) moyenne harmonique (indite : h)
1)
2)
Pour n grandeurs xl, x2, Xn,inverse de la vafeur moyenne dc leurs inverses :
~=~(~+~+...+~)x~ n x] X2 ‘n
Pour une grandeur x fonction de la variable t, grandeur Xh ddinie comme l’inverse de la valcurmoyenne de I’inverse dc la grandeur donn~e :
11 ‘ldt
J—. ——x~ T o X(t)
Note. - Dans Ie cas dune grarrdeur p6riodique, l’intervatle din@ration comprend un nombre entier de P6riodes.
harmonic average (subscript: h)inverse averageharmonic mean value1) For n quantities xl, X2, . . Xn,reciprocal of the mean vatue of their reciprocals:
*= I(L+L+...++)n xl X2
2) For a quantity x depending on a variable t, quantity Xh defined by the reciprocal of the mean vatue ofthe reciprocal of the given quantity:
llTldt
J—=— —x~ T o x(t)
No/e. - For a periodic quantity, the integration interval comprises an integral number of periods.
ar (hI#)#+~~;~~~:@+ by~
de harmonischer Mittelwertes valor medio armiinico (subfndice: h); media armdnieait rneda armonicw, valore medlo armonico
ja a%t~epl srednia harmonicznapt valor m6dio harmthico; m6dia harmtkieaSv harmoniskt medelvarde
34
IS 1885 (Part 72): 2008IEC6OO5O-101 :1998
101-14-19 oscillation amortieOscillation clans laquelle lcs vrdeurs de cr~te h creux successive d6croissent.
damped oscillationOscillation whose successive peak-to-valley values decrease.
ardeesit
japlptSv
il.i&4 &i+igediirnpfte Schwingungoscilaci6n amortiguadaoscillazione smorzata
*S%%drganie thunioneoscilaqiio amortecidadampad svangning
101-14-20 coefficient d’amortissement (symbole: 3)
Grandeur 5 clans l’expression A. e-~ f fir) dune oscillation amortie exponentiellement, oii At) est unefonction p6riodique.
damping coeftlcient (symbol: 5)
Quantity ~in the expression A. e-~fll) of an exponentially damped oscillation, whemflf) is a periodic function.
YeesitjiipiplSv
Abklingkoefflz(ent -cocficiente de amortiguarniento (simholo: 6)coeftlciente di smorzamento
#is@* (%3% : ~)wsp6iczynnik tiumieniacoeficiente de amortecimentodampningskoeftlcient
101-14-21 oscillation forc6eOscillation impos~e clans un systemc physique par une action exttkieure.
forced oscillationOscillation produced in a physical system by an external excitation.
ardcesit
jap]ptSv
erzwur~gene Schwingungoscilacion forzadaoscillazione forzata
WmfIWJdrganie wymuszoneoscilaqiio forqadap~tvingad svangning
101-14-22 oscillation IibreOscillation clans un syst~me physique lorsque I’apport d’6nergie extt%ieure a cess6.
free oscillationOscillation in a physical system when the supply of external energy has been removed,
ardeesit
japlptSv
& JJ. .freie Schwingungoseilaci6n libreoscillazione libera
EIQI%NJdrganie swobodne; drganie wkwneoscila@io Iivrefri svangning
35
IS 1885 (Part 72): 2008IEC 60050-101:1998
101-14-23 r(isonancePh&nom&se sepmduisrmtdans un syst~me physique Iorsque lap6riode dune oscillation forc6eest telleque la grandeur carack%istique de l’oscillation ou sa d6riv6e par rapport au temps passe par un extr6mum.
No/e. - A la n%onance, la pt%iode de l’oscillation fon%e est souvent voisine de celle dune oscillationlibre.
resonancePhenomenon Occurnng in an physical system when the period of a forced oscillation is such that thecharacteristic quantity of the oscillation or its time derivative reaches an extremum.
Note. - At resonance, the period of the forced oscillation is often close to that of a free oscillation.
101-14-24
101-14-25
ar &Jde Resonanzes resommciait risonan?!aja *%pl rezonanspt ressotinaaSv resonans
cycleEnsemble des 6tats ou des valeurs par Iesquels un phsnom~ne ou une grandeur passe darts un ordred6termin6, qui peut i%rer6p6t6.
cycleSe[ of states or of values through which a phenomenon or a quantity passes in a given repeatable order.
;JJ>2 Zykluses cicloit cicloja ?d?’lbp] Cyldpt cicloSv cykel
oscillation de relaxationOscillation dent chaque cycle ri%ltc dune accumulation Iente dt%rergie clans un ~lement dun syst?mephysique, suivic du transfcrt brusque dc cettc Energic clans un autre 616mcnt ou de sa dissipation.
relaxation oscillationOscillation in which every cycle is the result of energy being accumulated slowly in onc element of aphysical systcm, then transferred rapidl y to another one or dissipated.
ardeCsitjap]ptSv
Rdaxationsschwingungoscilaci6n de relajaci6noscillazione di rilassamento
H%ill&fidrganie rek+ks.acyjneoscilagiio de relaxaqiiovippsvangning
101-14-26 impulsion(16 1-02-02 MOD) Variation d’une grandeur physique constitute par un passage dune vdeur a une autre suivi imrrkdiatcmcnt
(702-03-01 MOD) ou apr% un certain intervalle de temps dun retour a la valeur initiale.
Note. Dans certaines applications, la dun% de I’impulsion est courte par rapport aux autrcs dur~cscaracttkistiques.
pulseVariation of a physical quantity where a transition from one value to another is followed immcdiatcl y orafter some time interval by a rctum to the initial value.
Note. - In some applications, the duration of the pulse is short in comparison to the other characteristicdurations.
ar +de Impulses impukoit impulsoja /c)~~pl impulspt impulsoSv plds 36
IS 1885 (Part 72) :2008IEC6OO5O-101 :1998
101-14-27 train d’impulsions(70203-11 MOD) Suite rdguliLre d'impulsions semblables ennombre fini.
pulse trainRegular sequence of a finite number of similar pulses.
ardemitjapiplSv
OQ U
Impulsfolgetren de impulsestreno di impulsi/<)b~yjci~g impuk$wtrem ~e impulsespldstag
101-14-28 grandeur impulsionnelleGrandeur constitu~c dune suite r~gulii% dimpulsions semblables.
pulsed quantityQuantity made from a regular sequence of similar pulses.
Yeesitjap)ptSv
&&&sgepulste Grollemagnitud pulsadagrandezza impulsival:)bxswielkck.c imprdsowagrandeza impulsiomdpulsad storhet
101-14-29 alternatifQualitic une grandeur p~riodique de valcur moyenne nulle.
altermtingPertaining to a periodic quantity of zero mean value.
ardcesitjap]ptSv
>>>Wechselalternaalternato
SRaprzemiennyalternadoviizel-
101-14-30 grandeur (alternative) sym6tnqueGrandeur alternative dent les valeurs s6par6es dune demi@riode sent 6gales et de signes opptks :
TF’(x+~) = –F(x), oii Test lap6riode.
symmetrical (alternating) quantityAlternating quantity in which points one half a period apart have equal values and opposite signs:
-rF(x+~) =–F(x), where Tis the period.
ardeesitjaplptSv
symmetrische Wechselgrot3emagnitud (alterna) sim6tricagrandezza (alternata) simmetrica
-N* at) ilkwielko~c (przemienna) symetrycznagrandeza (alternada) sim6tricasymmetrisk vtielstorhet
8,
37
IS 1885 (Part 72) :2008IEC6OO5O-101 :1998
101-14-31 . . . . .Qualitic unc grandeur p6nodique de valcur moycnne non ntdle.
pulsatingPertaining to a periodic quantity of non-zero mean value.
ardeesitjaplptSv
wMkchpulsatoriagrandezza pulsante
H&#-apukujqeypldsatiriopulserande
101-14-32 composante continueValeur moyenne dune grandeur piriodique.
direct componentMean value of a pulsating quantity.
$eesitjaplptSv
i$~ *3Gleichanteilcomponent continuacomponent continua
&%&*sktadowa stalacomponent conti’nualikkomponent
101-14-33 composante alternative(16 I-02-25 MOD) undulation
Grandeur obtenue en retranchant d’unc grandeur p~riodiquc sa composante continue.
101-14-34
alternating componentripple contentQuantity obtained by subtracting from a pulsating quantity its direct component
de WechselanteilCs component alterna; ondulaci6n; rizadoit component alternata; ondulazione
pl skladowa przemiennapt component alternada; ondulagiioSv vaxelkomponent
grandeur sinusoidalGrandeur p6riodiquc alternative rcpr6scnlic par Ie produit d’une cons[ante riellc par unc fonction sinusou cosinus dent l’argument cst unc fonction lin~airc dc la variable ind6pendante.
Notes 1.- La constante r6elle peut ~trc unc grandeur scala.ire, vectoriellc ou tensoriclle.
2.- Des excmples sent a(t) = Amcos (m r + ~) cn tant que fonction du tcmps I ct a(x) = Am cos[k(x – Xo)] en tant quc fonction dc la variable x.
sinusoidal quantityPeriodic alternating quantity rcprescntcd by the product of a real constant and a sine or cosine functionthe argument of which is a linear function of the independent variable.
Notes 1.- The real constant may bc a scalar, vector or tensor quantity.
2.- Examples are a(t) = Am cos (w + %) as a function of time I and a(x) = Am cos [k(x – XO)]as a function of variable x.
ardcesitjaplplSv
++s-sinustlormige Grollenragnitud sinusoidalgrandezza sinusoidal
iEEswielkosc sinosoidafnagrandeza sinusoidalsinusformigt varierande storhet
38
s’
IS 1885 (Part 72) :2008IEC6OO5O-101 :1998
101-14-35
101-14-36
101-14-37
amplitudeValeur de cn% d’une grandeur sinusoidal.
Note. - Pour la grandeur Am cos (m I + ~), I’amplitude est Am
amplitudePeak vafuc of a sinusoidal quantity.
Note. - For the quantity Am cos (OJf + ~), Lheamplitude is Am
ardeesitjaplptSv
LAmplitudeamplitudampiezza$&G
amplitudaamplitudeamplitud
pulsation (symbole : @
Produit de la frt$quence d’une grandeur sinusoidal par le facteur 27t.
Nofe. - Pour la grandeur A,n cos (OJf + i$), la pulsation est w.
angular frequency (symbol: @pulsatance
Product of the frequency of a sinusoidal quantity and the factor 2rT.
Note. - For the quantity Am cos (O I + I%), the angular frequency is m
ardeesitjaplptSv
(0 : >}~ ) ~j~j >>j
Kreisfrequenz; Pulsatanzpulsaci6n (sfmbolo: oJpsdsazione; frequenza angolare
REJWM (%3-%: w)pufsacja; cz~totliwosc kqtowafrequt%cia angular; pulsaqiiovinkelfrekvens
pulsation complexe (symbolc : s)
Grandeur complcxe s = o + j o associ~c a une grandeur de la forme a(t) = A. eat cos (w r + ~)
Note. Si a< (), la grandeur 6 = –acst Ic coefficient d’amortissement.
complex angular frequency (symbol: s)complex pulsatunce
Complex quantity .s= o + j coassociated with a quantity represented by a(t) = A. e~l cos (co [ + ~).
No(e. If 0< (), the quantity 6 = –(J is the damping coefficient.
ardeesitjap]ptSv
—komplexe Kreisfrequenzpufsacitm compleja (simbolo: s)pulsazione complessa; frequenza angolare complessa*%RRJW%! (St% : s )pufsacja zespolonafrequihcia angular complexa; pulsaf+io complexakomplex vinkelfrekvens
39
IS 1885 (Part 72) :2008IEC6OO5O-101 :1998
101-14-38 phase (syrnbolc: 79)phase instimtarrieArgument dc la l“onc[ion cosinus clans la rcprkntalion d’unc grandeur sinusoidaJc.
Noie.r 1.- Lc [crmc <<phase insLanLan6c>>n’cst cmploy~ quc lorsque la variable ind6pendante cst Ictcmps.
2. Pour Ics grandeurs Amcos (@t+Oo) ctAmcos [k(x-xo)] la phase Oestrespcctivcmcn[
igalc i 01 + 00 c1 ii /(.(l-l.),
phase (~ymbo]: U)instantaneous phaseArgument of Lhccosine func[ion in [hc rcprcscntalion of a sinusoidal quantity.
No[e,y 1.- The Lcrm “instantaneous phase” is only used when the independent variable is time.
2.- For [hc quantities An, cos (m t + L’$) and Amcos [k (x – .xO)] the phase Ois respectively equal
LO @ I + ~, and to k(x-xo).
101-14-39
101-14-40
ardcCsitjaplptSv
#M’w’_dh+Phasenwinkel; Augenblicksphasefase (simbolo: 6); fase instantineafase; fase istantanea
tim (33%: e ) ;wlumfaza; faza chwilowafase; fase instantineafas
phase (h I’)origine (symbolc : t%)Valcur dc la phase d’une grandeur sinusoidal pour la vakur z6ro de la variable ind6pendante.
Note, Pour k grandeurs Am cos (m t + ~) CI Am cos [k (x – Xo)] la phase5]’origine est respcctivcmcnt
6gaic ~ r’$ et h –kxo.
initial phase (symbol: ~)phase angleValue of the phase of a sinusoidal quantity when the value of the independent variable is zero.
No[e. For the quantities Am cos (m f + t$) and Am cos [k (x - Xo)] the initial phaseisrCspeCliVely equal
to ~ and to –kxo
ardeCsi[jap]plSv
( so:>)) &Q1 J+ :JJJ1 ZjljNullphasenwinkelfase initial (simbolo: f3Jfase iniziale
%JIWElGw3:eo) :@@%faza poc@kowafase initial; fase na origembegynnelsefas
diff&ence de phase (symbole : @dkphasageDiff6rcnce cntre Ies phases a l’originc dc deux grandeurs sinusoi’daks d? m~me p&iode, a~cc addilion
Cwentucllc dun multiple de 2Tt,dc fagon que cctte diffirencc soit supt%ieure ~ –x ct inf&ieure ou egale h IT.
Nofe. Pour les grandeurs Am cos (ro [ + I?;) et Am cos (m f + 00) la difference de phase est q= O;
00 + 2nn, oti n est un cnticr, choisi dc tcllc sortc quc –n < p < n.
phase difference (symbol: p)For two sinusoidal quantities of the same period, difference between the initiaf phases with possible
addition of a multiple of 2rc so that the diffcrcncc is greater than –n and not greater than n.
Note. For the quantities Am cos (O I + 00 ) and Am cos (o t + 00 ) the phase difference is q = On –
80 + 2nn, where n is an integer, chosen so that –rr < p 5 n.
YCesitjap]ptSv
( P : YJJ) +,+ Ak+lPhasenverschiebungswinkeldiferencia de fase (sfmbolo: @differenza di fase; sfasamentoti%lE (z% : @)przesuni~ie fazowedesfasagem; diferenga de fasefasdifferens
40
IS 1885 (Part 72): 2008IEC6OO5O-101 :1998
101-14-41
1OI-14-42
101-14-43
101-14-44
avarice de phaseDiH_c%cnccdc phase positive
(phase) leadPositive phase diffcrcncc.
ardcesiljaplplSv
( .JJ~) ~~-Phasenvoreilwinkelavarice de fase; adelanto de faseanticipo di fase
*3 (Mm)w yprzedzenie famweavanqo de fasepositiv fasdMferens
retard de phaseDiff6rcncc de phase ndgati vc
(phase) lag
Ncga[ivc phase difference
ardcesitjap]plSv
( JJl ) &bPhasennacheilwinkelretardo de fase; retraso de fmeritardo di fase*h (t!k#f3)0p6zniem”e fazoweatraso de fasenegativ fasdifferens
en phaseQu~ific dcux grandeurs sinusoidalcs de mtmc fkriode dom la difference de phase cst nullc
in phasePertaining to two sinusoidal quantities of the same period having zero phase difference.
dc gleichphasig; in Phasees en fusei[ in faseja Hmopl w faziepl em faseSv i fas
en quadrature
Quali fic dcux grandeurs sinusoidalcs dc m~mc p&iodc donl la difference de phase CSL6galc h M2radians.
in qwddrature
Pertaining to two sinusoidal quanti[ics of Lhc same period having a phase diffcrcncc equal to fi2radians.
ardeesiljap)plSv
Jzll J JIAALGA
in Quadraturen cuadraturain quadrature
ii3Bti%lE@w kwadraturzeem quadraturei tvarfas
41
IS 1885 (Part 72) :2008IEC6OO5O-101 :1998
101-14-45 en opposition
Qurdifie deux grandeurs sinusoidales de m~me pt%-iodedent la diff~rence de phase est Agate h n radians.
in opposition
Pertaining to two sinusoidrd quantities of the same period having a phase difference equal to n radians,
de gegenphasiges . . .en opowesonit in opposizioneja *%10pl w przeciwfaziept em oposiqiioSv i motias
101-14-46 alternance positiveEnsemble des valeurs instantan4es positives dune grandeur alternative pendant un intervafle de temps dedur6e 6gale A1a p&iode.
positive half-waveSet of instantaneous positive vafttes of an alternating quantity which occur within a time interval having aduration equat to the period.
ardeesitjap]ptSv
++JM &# &
positive Hrdbschwingungalternancia positivasemionda positivaX+@p&fala dodatniaalternhcia positivapositiv hahw%g
101-14-47 alternance n~gativeEnsemble dcs vateurs instantan~es nfgatives d’une grandeur alternative pendant un intervalle de temps dedurdc Lgale h la ptl-iode,
negative half-waveSet of instamancous negative vafues of an alternating quantity which occur within a time interval having aduration equal to the period.
ardeesitjap]ptSv
negative Halbschwingungafternancia negativasesnionda negativaE*%IP6ffala ujernnaalterniincia negativanegativ halvv~g
101-14-48 valeur redress~evafeur moyenne absolueValeur moycnne, sur une pt%ode, de la valeur absolue dune grandeur alternative,
rectified valueaverage absolute valueMean value, taken over a period, of the absolute value of an attempting quantity.
ardeesitjap]ptSv
Gleichrichtwertvalor rectiticadovafore medio convenzionale; valore medio assolutoEtis ; Fe#!Nfifiwartckc srednia wyprostowana; warttic irednia bezwzgl@mvalor rectificado; valor absohsto m6diomedelbelopp
42
I
IS 1885 (Part 72): 2008IEC 60050-101:1998
101-14-49 fundamental (nom et adjectif)(16 1-02-17 MOD) composante fondamentale
premier imrmonique (terrne d6conseilM)Se dit de la composantc de rang 1 du d6veloppement en st%ie de Fourier d’une grandeur pt%iodique.
fundamental (component)first harmonic (deprecated)Component of order 1 of the Fourier series of a periodic quantity.
ar <Y ~~f; Jji &Ijde Grundschwingunges (component) fundamentalit fondamentale; component fondamentaleja -W (JiE53)pl podstawowy; skk+dowa podstawowapt timdamental (substantive e adjective); components fimdamental;
pnmeira harrn6nica (desaconselhado)Sv gnmdton
101-14-50 friquence fondamenbde
Fr6quence du fondatnental d’une grandeur p&iodique.
fundamental frequencyFrequency of the fundamental component of a periodic quantity.
de Grundfrequenzes frecuencia fundamentalit frequenza fondamentaleja s*H@%pl cz@otliwoSc podstawowapt frequi%cia fundamentalSv grundfrekvens
101-14-51 harmonique (nom masculin et adjectif)(16 1-02-18 MOD) composante harmonique
Se dit d’une composante d’un rang supt%ieur h 1 du dt%eloppement en s6rie de Fourier d’une grandeurpc%-iodique.
harmonic (component)Component of order greater than 1 in the Fourier series of a periodic quantity.
a@ly- &f-/Ye Oberschwingun& Harmonischees (component) ardnicoit armonica; component armonicaja Raw (J&53)pl harmoniczna; sldadowa harrnonicznapt harm6nica (substantive e adjective); harm6nico (substantive e adjective);
component harm6nicaSv harmonisk overton
101-14-52 rang (d’un harmonique)(16 I-02-19 MOD) Nombrc entier 6gal au rapport de la fr6quence dun harrnonique h la fr6quence fondamentale.
harmonic numberharmonic orderIntegral number given by the ratio of the frequency of a harmonic to the fundamental frequency
ardcesitjap]ptSv
O~dnung&zahl (einer Teilschwingung); Ordnungszahl (einer Harmonischen)orden (de on armtmico)numero di un’armonica; ordine di un’armonica
aillfarzqd harmonicznejordem (de uma harrn6nica)deltonsnummer
43
IS 1885 (Part 72): 2008IEC6OO5O-101 :1998
101-14-53 sous-harrnoniqueGrandeur fn%iodique dent 1a frt$quence est un sous-multiple entier dune fn%pence d’entretien.
sub-harmonicPeriodic quantity varying at a frequency that is an integral sub-multiple of a frequency of excitation.
ardeesitjaplplSv
@\$\ ~
Untemchwingu~, SubbarmonischesobarmiinicwSuharrnonica53#lW$i
~rn-Sub-barrniinicabarmonisk undertnn
101-14-54 r&vidubarmonique(16 1-02-21 MOD) Grandeur obtenue en retranchrmtdune grandeur aftemative son fundamental.
harmonic contentQuantity obtained by subtracting from an alternating quantity its fundamental component.
?eesitjaplptSv
Oherzchwingungsmteilreziduo armiinicoresiduo annonicnamw
mwartm% bartnonicznych; pozostdti harmonieznateor de harmc$micas; residuo harm6nicoovertonsinnebiill
101-14-55 taux d“hannoniques( 161-02-23 MOD) distortion harrnonique (terrne d6conseillE clans ce sens)(702 -04-5 1 MOD) facteur de distortion (terme d6conseill& clans ce scns)
Rapport de la vafeur efficacc du residu harmoniquc d’une grandeur aftcmative h la vafeur efficace de cettegrandeur.
(total) harmonic factortotal harmonic distortion (deprecated in this sense)distortion factor (deprecated in this sense)Ratio of the mo-mcar-square value of the harmonic content of an alternating quantity to the root-mean-squarc value of the quantity.
ardeesitjapl
pi
Sv
Obersch&gungsgehahdistorskh .arm6Nca; contenido en armckicnstas.so di armoniche(se) O=Y3*wsp61czyrmik nwartnici harrnonianych; wspkzynnik znieksztaiceri harmnnicznych(termin nic zafeeany w tym scnsic)factor de harrminicas (total); distorq~o harmonica (desaconselhado neste sentido);factor de distorgiio (desaconselhado neste sentido)overtonshalt
101-14-56 facteur de forme (symbole : F)
Rapport de la valeur efficacc ~ la valeur redress6e dune grandeur aftemative.
form factor (symbol: F)Ratio of the root-mear-square value of an alternating quantity to its rectified value
ardeesitjap]ptSv
( F :YJ ) JSLJ JAGForrnfaktorfactor de forma (simbolo: F)fattore di forma
W@@ (=% : F)Wsp%zymdk ksztaltufactor de formaformfaktor
44
IS 1885 (Part 72): 2008IEC6OO5O-101 :1998
101-14-57 facteur de cr&eRapport de la valeur absolue maximale ~ la valeur efticace dune grandeur aftemative,
peak factorRatio of the maximum absolute value of an aftemating quantity to its root-mean-square vafue.
ardeesitjap]ptSv
iij).dl J.&Scheitelfaktorfactor de crestsfattore di crests; fattore di picco
ai%%wsp6kzynnik ~Z@
factor de picotoppfaktor
101-14-58 bande de fr6quences(702-01-02) Ensemble continu des fr6quences comprises entrc deux frt$quences lirnites sp6cifi6es.
Note. - Une bande de fr6quences est carack%isc% par deux vafeurs qui d&errninent sa position clans lespectre des fn$quences, par exemple ses fri$quenees Mttites ittft%-ieut-eet stqkriettre.
frequency band
Continuous set of frequencies lying between two specified limiting frequencies.
Note. - A frequency band is characterized by two vsdues which define its position in the frequencyspectrum, for inscancc its lower and upper limiting frequencies.
ardeesitjaplptSv
Frequertzbandbanda de frecuenciasbanda di frequenza; gamma di frequenza
El@?#!%+pasmo czfstotliwotilbanda de frequi%ciw, faixa de frequi%ciasfrekvensband
101-14-59 Iargeur de bande (de fr6quences)(702-0 1-03 MOD) Vafeur absolue de la difftkence entre les dcux fr~quences limites dune brmde de fn%tuences.
Note. - La largcur de barrdc est une valeur unique et ne d6pend pas de la position de la bande darts lespectrc des fr6quenccs.
(frequency) bandwidthAbsolute value of the difference between the limiting frequencies of a frequency band.
Note. - A bandwidth is a single value and does not depend on the position of the band in the frequencyspectrum.
ardeesitjaplptSv
(ap>j) Lp &fi
(Frequens-)Bandbreiteaneho de handa (de frecuencias)btrghezxa di banda (di frequenza)
(EM#&) *Mazerokti pasma (cz@otliwc&i)largura de banda (de frequi%cias)bandbredd
101-14-60 battementVariation p6riodique de l’amplitude dune oscillation rs%ultant de la superposition de deux oscillationsp6riodiques de fr6quences peu difft%emtes.
beatPeriodic variation in the amplitude of an oscillation resulting from the superposition of two periodicoscillations of slightly different frequencies.
YeesitjaplptSv
~>Schwebungbatidobattimento~fxq
dudnieniebatimentosvavning
45
IS 1885 (Part 72) :2008IEC6OO5O-101 :1998
101-14-61 fr6quence de battementDifference des fr6quences de deux oscillations en battement.
beat frequencyDifference between Lhefrequencies of two beating oscillations.
de Schwebungsfrequenzes frecuencia de batidoit frequenza di battimentoja ~t~gjgj~
pl cz@otliwoic dudnieniapt frequihcia de batimentoSv svavningsfrekvens
101-14-62 pbaseurRepresentation d’une grandeur sinusoidal par une grandeur complexe dent l’argument est 6gal ii la phasei I’origlne et le module est c$gala la valeur efficace ou Al’amplitude.
Notes 1.- Pour une grandeur a(t) = A V cos (to c + $) = Am cos (cmt + ~) le phaseur est soit
A exp ji$ soit Am exp jt$.
2.- Un phaseur peut aussi i%rerepr~sentf graphiquement.
phasorRepresentation of a sinusoidal quantity by a complex quantity whose argument is equal to the initialphase and whose modulus is equal to the root-merm-square vafue or to the amplitude.
Notes 1.- For a quantity u(t)= A J cos (as t + i$) = Am cos (ox+ %) the phasor is either A exp ji$
or Amexp j~.
2.- A phasor can afso be represented graphically.
~eesitjaplptSv
4-)+ #Zeigerfasorfasore
7X–Vfazorfasorvisare
101-14-63 bruit(702-08-03 MOD) Phgnom?ne physique variable ne portant apparemment pas d’informations, et susceptible de se superposer
ou de se combiner h un signal utile.
Notes 1.- Un bruit peut fournir clans certains cas des information sur certaines caract6ristiques de sasource, par exemple sur la nature, l’emplacement de celle-ci.
2.- Un ensemble de signaux peut apparaitre comme un bruit, Iorsqu’ils ne sent pas identifiables~parement.
noiseVariable physical phenomenon apparently not conveying information and which may be superimposedon, or combined with, a useful signaf.
Notes 1.- In certain cases a noise may convey information on some characteristics of its source, forexample its nature and location.
2.- An aggregate of signals may appear as noise, when they are not separately identifiable.
al’deesitjaplptSv
( A&+) Z-2GeriiuschnddorumoreB?%Szmnm-dobrus
46
IS 1885 (Part 72): 2008IEC 60050-101:1998
101-14-64 aklatoireQualifie une entitd susceptible de prendre l’une des valeurs dun ensemble d6tini, chaque valeur r~alis~ec%antimpr~visible et d6termin6e par le hasard.
randomPertaining to an entity that may take any of the values of a specified set, each value achieved beingunpredictable and governed by chance.
ardeesitjaplptSv
Zumigah?atorioaleatorio; casuale5 >gLtJlosowy; przypadkowyaleatirio
101-14-65 probabtiti(1S0 3534-1- 1.1) Nombre rtfel darts l’intervalle de O a 1, associ6 ~ on t%u%ement a16atoire.
Note. - La probability peut se rapporter ~ une fn%psencs relative dune occurrence clans une longue A-ieou h un degrg de croyance qu’un 6vt5nement se produira. Pour un haut degn5 de croyrmce, laprobabilit~ est proche de 1.
probabilityReal number in the scale O to 1 attached to a random event.
Note. - Probability can be related to a long-run frequency of occurrence or to a degree of belief that anevent will occur. For a high degree of belief, the probability is near 1.
m’deesitjaplptSv
Q&lWabrscheirdichkeitprobabilidadprobabilitii
B*prawdopodobiebztwoprobabilidadesannolikbet
101-14-66(Iso 3534-1-1,2 MOD)
101-14-67
variable aliatoireVariable pouvant prendre n’importe quelle valeur dun ensemble dt%etin6 de valeurs et pour laquelle uneprobability est associ6e h toute valeur iso14e ou i tout intervalle de valeurs.
random variableVariable that may take any o!’ the values of a specified set of values and for which a probability isassociated with each isolated value or with each interval of values.
mdeesitjaplptSv
Z-ufallsvariablevariable aleatoriavariabile aleatoria
?i@$9Mzrnierma losowavariiivel aleattiriastokastisk variabel
a16atoire stationnaireQualifie une fonction dent les valeurs sent impr6visibles h des instants donm% rnais ont des props-k%%statistiques invariantes darts le temps.
stationary randomPertaining to a function the values of which are not predictable at given instants but have time-invariantstatistical properties.
:CCsiljaplplSv
stationar zufalligaleatorio estaciomnoaleatorio stazionarioZ*?>YAIosow y stacjonarnyaleatorio estacioniriostationart Slumprniissig
47
IS 1885 (Part 72) :2008IEC60050-101 :1998
101-14-68 ergodiqueQuafitie une fonction aft$atoire donl les moyennes temporelles sent identiques aux moyennes statistiquescorrespondantes.
ergodicPertaining to a random function the temporal mean vafues of which are identicaf to the correspondingstatistical mean values.
ardeesitjapiptSv
Qbybddl U& a+> all>
ergodkcherg6dicoergodicoX)V5– F@ergodycznyergcidicoergodisk
101-14-69 spectre,R&partition d’une grandeur en fonction de la frequence ou de la longueur d’onde.
spectrumDistribution of a quantity as a function of frequency or of wavelength.
a L&b
de Spektrumes espectroil spettroja X<? ~Jbp] widmnpt espectroSv spektrum
101-14-70 spectre de puissance(702-04-48 MOD) Representation du cark des amplitudes des composantes spectrales d’un signal ou dun bruit en fonction
de la frequence ou de la longueur donde.
power spectrumDistribution as a function of frequency or wavelength of the square of the amplitudes of the spectralcomponents of a signal or noise.
ardeesitjaplptSv
Leistungsspektrumespectro de potenciaspettro di potenza/i9—— X4? Fmwidmo mocyespectro de poti?nciaeffekt.spektrurn
48
IS 1885 (Part 72): 2008IEC6OO5O-101 :1998
101-14-71(702-04-50 MOD)
101-14-72
densittl spectrale de puissanceDSP (abriviation)puissance spectriquePour une grandeur a spcc[re continu et de puissance moyenne tinie, limite, ~ toute frtlquence, du quotientdc la puissance clans unc bandc de frequcnces contenant ccttc fr6qucncc par la largeur de la bande lorsquecctlc Iargeurtcnd vcrsz6ro.
Notes 1.- La puissance instantan6c dune grandeur est par convention 6gafe au carr6 de sa vafeurinstantande. Ce carrel est proportionnel ii une puissance physique si Ia grandeur considt%t$eest une grandeur de champ.
2, - La densittf spectrafe de puissance est la transfer-rm% de Fourier de la fonction dautocom61ation.
power spectral densitypower spectrum densityFor a quantity having a continuous spectrum and a finite mean power, limit, at any frequency, of thequotient of the power within a frequency band containing that frequency by the bandwidth when thebandwidth tends to zero.
Notes 1.- The instantaneous power of a quantity is by convention equal to the square of itsinstantaneous value. This square is proportional to a physical power if the consideredquantity is a field quantity.
2.- The power spectraldensity is the Fourier transform of the autocorrelation function.
2esitjap]ptSv
Leistungs&chtespektrumdensidad espectral de potenciadensiti spettrale di potenzaJ<C1-z<p l.)bm~gptdd widsnowa moeydensidade espectral de pot6nciaspektral effekttiithet
fonction de correlation1) Fonctionflt) mesurant la similitude de deux fonctions dt%erministes ~l(t) et $2(f) et dHmie par
+0=
2) Fonctionflt) mesurarrt la similitude de deux fonctions afclatoires stationnairesjl (t)et~2(/) et ddfrnie par+T
Note. - La trarrsform4e de Fourier dcfit) est &gale au produit de la conjugu6e de la trausforrke de Fourierdc~l(r) par la transformclc de Fourier de$2(f) :
F(ju) = F1*(jro)F2(jrn)
correlation functioni ) Functionflf) which is a measure of the similarity of two deterministic functions -ft(I) and f2(t),defined
byh
f(t) = ~fi(z)~2(t+t)dr
2) Function XI) which is a measure of the similarity of two stationary random functions~t(f) and j2(t),defined by
Note,
ardeesitjaplptSv
The Fourier transform of fit) is equal to the product of the conjugate of the Fourier transform of
jl(O ~d the Fourier transform off2(l):
F(jfi)) = F1*(jco)F2(jco)
JQJY1 al>
Korrelationsfunktionfuncitm de correlaci6nfunzione di correlazioneml%l%lafrmkcja korelacjifun@io de correlaq~okorrelationsfunktion 49
IS 1885 (Part 72): 2008IEC6OO5O-101 :1998
101-14-73 fonction d’autocorr61ation1) Pour une fonction di%erministe, fonction de corr.51ation de cette fonction et d’une version retard6e de
celle-ci.2) Pour une fonction aklatoire stationnaire, esphnce math6matique du produit de la fonction par une
version retard6e de ccllc-ci :
C(t)= E[~(@~(t +@]
Nores 2.- La fonction d’autocorrt$lation d’une fonction d6terministe ou d’une fonction a16atoirestationnaire est la transform6e de Fourier inverse de sa densit6 spectrafe de puissance.
2.- Lorsqu’une fonction af6atoire stationnaire peut &.re consid6r6e comme ergodique, safonction dautocorm$lation peut ?tre cafcuh5e h partir dune n%lisation particuli?re :
-tT
C(t) = }+mm~ ~ f(r)f(t+ ~)d~
–T
autocorrelation function1) For a deterministic function, correlation function of the function and a time-delayed replica.2) Fof a stationary random function, mathematical expectation of the product of the function and a
time-delaved rerdica.. .C(t) =E[f(r)f(t+@]
Notes 1.- The autocorrelation function of a deterministic function or a stationary random fimction isthe inverse Fourier transform of its power spectral density.
2.- When a stationary random function can be considered as ergodic, its autocorreladonfunction can be calculated from a particular sample
ardeesitjaplptSv
Autokorrela~onsfunktionfunci6n de autocorrelacitksfunzione di autocorrelazione
la E3*MMHfunkcja autokorelacjifungiio de autocorrelaqiioautokorrelationsfunktion
101-14-74 fonction d’intercorr61ationFonction de correlation de deux fonctions difft$rentes.
crosscorrelation functionintercorrelation functionCorrelation function between two different functions.
ardeesitjaplptSv
Kreuzkorrelationafunktionfum%in de intercorrebwh; funci6n de correlaa6n crumbsfunzione di mutua correlazione
#lE#ll%lM#ffunkcja interkorelacji; funkcja kordaqji wm@rnnejfun@o de intercorrelagiiokorskorrelationsfunktion
101-14-75 loi de probabtiti(1S0 3534-1 Fonction d&erminant la probability qu’une variable ak%toire prerme une valeur donnt% quelconque ou
– 1.3 MOD) appartieme Aun ensemble donrk de valeurs.
probabtity distributionFunction giving the probability that a random variable takes any given value or belongs to a given set ofvalues.
ardcCsitjaplplsv
z+II ji *IA!! LVJYI dbW ahrscheinlichkeitsverteilungIey de probabilidaddistribuzione di probabilit.h
%$**rozkkad prawdopodobleristwadistrihuiqiio de probabilidades; Iei de probabilidade (desaconselhado)sannolikhetsfordelrdng
50
IS 1885 (Part 72): 2008IEC6OO5O-101 :1998
101-14-76(Iso 3534- I-1.4 MOD)
101-14-77(1s03534-1-1.5 MOD)
101-14-78(1s0 3534-1-1.18 MOD)
fonction de repartitionFonction dormant la probability qu’une variable af6atoire soit inft%ieure ou tlgafe h une vafeur donn6equelconque.
distribution functionFunction giving the probability that a random variable be less than or equaf to any given value,
Yeesitja?1ptSv
&-jy- ill>Verteilungsfunktionfuncitm de distribuci6nfunzione ripartizione; funzione distribuzione
**MBfunkcja rozkiadu (prawdopodohieistwa)funqiio de distribuiq~ofordelningsfunktion
densit6 de probabllit6D6iiv6c de la fonction de repartition
probability density
Derivative of Lhedistribution function.
ardeesitjaplptSv
QL+I 4A5Wahrscheiuhchkeitsdichtedensidad de probahilidaddensitis di probabilityIi@$@X%gptoic prawdopodobiedstwadensidade de probabilidadefrekvensfunktion
esp6rance math6matique (dune variable af6atoire)moyenne (d’une variable aleatoire)1) Pour une variable ak%oire discrbte X prenant les vafeurs xi avec les probabilit6s pi, somme
E(X) = Xi pi xi6tendue ~ toutes les vafeurs xi susceptible d’~tre prises par X.2) Pour une variable al~atoire continue X de dcnsit~ de probability fix), vaieur de l’int6grale
rE(X)= j x$(.x)dx
t$tenduc ~ tout le domaine dc variation dc X.
expectation (of a random variable)mean (of a random variable)1) For a discrete random variable X taking the values xi with the probabilities p[, the sum
E(X) = Zi pi xlextended for all vafues xi which can be taken by X.2) For a continuous random variable X having the probability density fix), the value of the integral
E(X) =~x~(x)dx
extended for all values of the interval of variation of X.
ai-deesitjap]ptSv
Erwartungswert (cincr Zufaflsvariablen)esperanza materdica (de una variable akatoria); media (de una variable aleatona)valor medio (di una variabilc alcatoria); media (di una variabilc afeatona)
wartckc oczekiwana (zmienncj Iosowcj)esperanqa matematim (de uma variavcl alcatoria); m6dla (de uma variavcl afcat6ria)vantevarde
51
IS 1885 (Part 72) :2008IEC 60050-101 :1998
101-14-79 variance(1s0 3534-t 1) Pour unc variable a16atoirc ou unc loi de prohahililt. cspdrancc mathtmatiquc du came dc la vml:ihl~1.22+2.33 MOD) ccn[rcc : E{[X – E(X)] 2),
No/e. La variance est Ic moment ccntr~ d’ordre 2.2) En statistique, mcsure de la dispersion ~gale au quotient dc la somme des cam% des ecarts h la valeur
moycnne par Ic nombre dcs carks ou par ce nombre diminu6 d’une unitt$, selon les cas envisages :
(1) variance de la population totalc de N individus :
(2) variance d’un Lchantillon de n observations :
(3) estimation de la variance de la population ~ partir dun 6chanti110n:
~~ ~ cst ]a valeur moYenne des cn[itLs ~j consid6r6es.
variance1) For a random variable or a probability distribution, the expectation of the square of the centred
variable: E([X – E(X)] 2}.
No(e. Tbc variance is the ccntrcd moment of order 2.2) In slalisLics, a measure of dispersion equal to the sum of the squared deviations from the mean valuedivided by the number of deviations or by that number minus 1, depending upon the cases considered:
(1) variance of the whole population of N items:
+ :,(xj- X)2J-
(2) variance of Lhc sample of n observations:
(3) estimate of the variance of the population from a sample:
& ~,(xj - ‘)2J–
where ~ ;S lhc mean value of the items of observation ~j considered.
ardeC5iljaplplSv
>.kVarianzvarian72varianm
*Bwariancjavariiinciavarians
101-14-80 6cart typeRacinc carr~c posilivc de la variance.
standard deviationPositive square root of Lhevariance
ardcCsitjaplptSv
Standardabweichungdesviacion tipicascarto tipo
odchylenie standdrdowedesvio padriiostandardavvikelse
52
IS 1885 (Part 72) :2008IEC6OO5O-101 :1998
ill
101-14-81 fractilt d’ordre p (d’unc loi dc probabilild)(1so 3534 I quantile d’rwdre p (d’urw loi de probabili[6)
1.14 MOD) Pour un nombrc p compns cntre O et 1, valeur dune variable afeatoire pour Iaquelle la fonction derepartition prcnd unc valcur p ou saute d’unc valeur inf&ieure ou Qalc 2 p ~ une valcur sup6ricurc 2p.
p-fractile (of a probability distribution)p-quantile (of a probabill[y distribution)For a number p between () and 1, value of a random variable for which the distribution function cquafs por jumps from a value less than or equal top to a value greater than p.
de p-Quantil (cincr Wahrschcinlichkeitsvertedung)es fractil de orden p (dc una icy de probabilidad); cuantil de ordenp (de una ley de probabilidad)it frattile di ordine p (di una dish-ibuzione di probability); quantile di ordinep
(di una distribul.ionc di probability)ja fiti~ (&*fifi@)pl fraktyl rrgdu p (rol.kladu prawdopodobieristwa)pt fractil de ordem p (de uma Ici dc probabilidade); quantil de ordemp
(dc uma Iei dc probabilidade)Sv p-fraktil
101-14-82 m6dlane
(Iso 3534-1 – 1) Fractile d’ordrc p = 0,50 d’une Ioi de probability.1.15 +2, 28 MOD) 2) Pour n valeurs rcc!(cs non nfcessairemcnt diffcrentcs, nombre r6cl tcl que lC nombre dc valcurs qui
lui som inftrieures est egal au nombre de vafcurs qui lui sent sup6ricures.
Nore. - Si n est impair, la midiane CSI la valcur dc rang (n + 1)/2 Iorsquc les vafeurs sent rang~cs parordre non dccroissant. Si n est pair, la m6diane peut &c tout nombre compris cnlrc Ies valcurs dcrang n/2 et (n/2 + 1), en gdniral la moyenne arithmdtique de ccs dcux valeurs.
medianI) The 0,50-fractilc of a probability distribution,2) For n real values not necessarily different from each other, real number such that the number of
values less than it is equal to the number of values greater than it.
Note.
ardcesit
japlptSv
If n is odd, the median is [he vafue of rank (n + 1)/2 when the values are arranged in increasingorder. If n is even, the median may bc any number between the values of rank n/2 and (n/2 + 1),usuafly the arithmetic mean of these two values,
>,
Medianwertmedianamedianayy~>
medimsamedianamedian
53
IS 1885 (Part 72) :2008IEC6OO5O-101 :1998
SECTION 161-15- ONDES
SECTION 101-15- WAVES
101-15-01 onde(702-02-02) Variation de l’dtat physique dun milieu, caract6ris6e par un champ, et se d6plapant avec une vitesse qui
(705-01 -03) est ddtermirke en chaque point et clans chaque direction par les proprk%% du milieu.
waveVaria[ion of the physical conditions of a medium, characterized by a field, and moving with a velocitydetincd at each point and in each direction by the properties of the medium.
&y
?C Wellees endsil ondaja Wpl falapt ondaSv Vfig
101-15-02 forme d’ondeRepn%entation d’une grandeur caract6ristique d’une onde, soit clans le temps en un point donn6, soit clansI’espace h un instant donn6.
waveformRepresentation of a characteristic quantity of a wave, either in time at a given point or in space at a giventime.
%esitjap]plSv
Wellenformforma de ondaforma d’onda
a%ksztalt faliforma de ondav&form
101-15-03 surface d’ondeSurface sur Iaqucllc, cn regime sinus(ildal, [outcs Ics grandeurs caracldristiqucs d’unc ondc ont la m~mcphase ii un instanl donnd.
wavefrontSurface on which, at a given [irnc. for sinusoidal conditions, all characteristic quanli[ics 01 a wave havethe same phase.
ardcCsitjaplptSv
&y +
Wellenfrontsuper!lcie de onda; frente de ondafronte d’ondammczoio fafi; front fafifrente de onda; superficie de ondav&front
54
IS 1885 (Part 72) :2008IEC6OO5O-101 :1998
101-15-04 dkection de propagation(705 -02-15 MOD) Direction de la normalc ii la surface d’ondc en un point donn~, onentdc clans lC scns dcs phases
dicroissantcs.
Note. - La direction de propagation d’une ondc pcut iire diff6rcntc dc la dircc[ion dc propagation del’inergic de ccttc ondc.
direction of propagationDirection of the normal to the wavefrom at a given point, oriemed in Lhc sense of decreasing phase.
Note. - ~edirection ofpr[Jpagation ofawave maydiffer from thcdirection ofpropagalion ofcncrgyofthis wave.
~eesitjap]ptSv
&iy\ eti\Ausbreitungsrichtungdirecci6n de propagaci6ndirezione di propagazioneEw%fikiernnek rozchodzenia si~ fall; kierunek propagacji ftildirecqiio de propagaqiiouthredningsriktning
101-15-05 onde plane(705-01-32) Onde dent ies surfaces donde sent des plans paralli?les.
plane waveWave in which all the wavefronts arc parallel planes.
ardeesitjaplptSv
~p L-yehene Welleonda planaonda piana%Eiw
fala plaskaonda planaplan vfig
101-15-06
101-15-07
onde longitudinalOnde caractdrisee par unc grandeur vcctoriclle paraflUe il la direction de propagation,
longitudinal waveWave characterized by a vector quantity parallel to the direction of propagation
de Iongitudinale Wellees onda longitudinalit onda Iongitudinaleja %%iflp] fafa pod!timpt onda longitudinalSv Iongitudinell v~g
onde transversalOnde caract&is6e par une grandeur vectoriellc perpendiculaire ii la direction de propagation.
transverse waveWave characterized by a vector quantity perpendicular to the direction of propagation.
ardeesitjaplptSv
transversal Welleonda transversalonda trasversale%%fala poprzeczmonda transversaltransversely vhg
55
IS 1885 (Part 72) :2008IEC6OO5O-101 :1998
101-15-08 Iongueur d’onde (symholc : 1)Distance, clans la direction dc propagation d’unc cmdc sinusoidafc, cntrc deux points succcssifs ofi lcsphases dc la grandeur caract~ristiquc difllrcnt dc 2rr radians.
wavelength (symbol: A)Distance, in the direction of propagation of a sinusoidal wave, between two successive points where the
phases of Lhccharacteristic quantity differ by 2n radians.
adcCsitjaplplSv
(A : y)) &=jdJ9WellenlangeIongitud de onda (simbolo: L)lunghezza d’onda
R%dlugosc falicomprimento de ondaviglangd
101-15-09 nombre d’onde (linEiquc)r6p6tenceInverse de la longucur d’ondc.
wave numberrepetencyReciprocal of ~he wavelength.
ardcCsitjaplptSv
@y ~~ , QJ*-Repetenz; Wellenzahlmknero de ondanumero d’onda
@aliczba falowamimero de onda (Iincal); repettnciarepetens; viigtal
101-15-10 vitesse de phase(705-02- 16 MOD) Pour une ondc sinusoi’dale cn un point donn6, vitessc, clans la direction dc propagation, de la surface
dponde correspondent 5 unc phase dktcrminkc.
Note. - La normc dc la vitcssc dc phase cst &gale au produit de la fr6quencc par la Iongueur donde.
phase velocityFor a sinusoidal wave at a given point, velocity in the direction of propagation of the wavefrontcorresponding to a spccificd phase.
Note. - The magnitude of the phase velocity is cquaf to the product of the frequency and the wavelength.
Fir
dcesitjaplptSv
Q9 Gfl
Phasengeschwindigkeitveloeidad de fasevelocitii di fase
DBSBprplkoic fazowavelocidade de fasefashastighet
101-15-11 dispersifQuafifie un milieu clans lequel la vitessc de phase varie en fonction de la frt$quencc.
dispersivePertaining to a medium in which the phase velocity varies with frequency.
ardeesitjaplptSv
.-:
dispergierenddispersivedispersive
@@%dyspersyjnydispersivedispersiv
56
IS 1885 (Part 72) :2008IEC6OO5O-101 :1998
101-15-12
101-15-13
101-15-14
vitesse de groupeEnun point dun milieu, vitessede I’enveloppe d’unpaquet dondes sinusoidales superposes de m~meamplitude dent les fr6quences tendent vers une litnite commune.
Note. - La norme du vecteur vitesse de groupe est t$gale h la dt%-ivt%de la fr6quence par rapport aunombre d’onde.
group velocityAt a point in a medium, velocity of the envelope of a packet of superimposed sinusoidrd waves of equalamplitude and slightly different frequencies tending to a common limiting frequency.
Note. - The magnitude of the group velocity vector is equal to the derivative of the frequency with respectto the wave number.
ardeesitjaplptSv
2s+1 byGruppengeschwindigkeitveloeidad de grupovelacitit di gruppo
I!HM%P*M ~powavelocidade de grupogrupphastighet
onde directeOnde pour laquelle les vccIcurs vitesse de groupe et vitesse de phase ont la mSme direction.
forward waveWave in which the group and phase velocity vectors have the same direction.
YeesitjaplptSv
4+1 byVorwartswelleOnda directsonda diretta; onda progressiveW**..——fala pm@puj~caonda directsframMv5g
onde retrogradeOnde pour laquellc les vccteurs vitesse dc groupe et vitesse de phase ont des directions oppos6es.
backward waveWave in which the group and phase velocity vectors are in opposite directions.
ardeesitjaplptSv
Riickwiirtswelleonda inversaonda regressive‘&&lfala powrotmonda retr6gradabakfitvi%g
57
IS 1885 (Part 72) :2008IEC6OO5O-101 :1998
101-15-15 exposant fin6ique depropagation (symbolc: fi
(705-02-24MOD)” Grandeur complexe ytiguram clans I’expression At] e -TX + Jax +j@, lorsque la partie r6elle de cetteexpression rcprt%entc, lelongdunc droitcparall~lc hl’axc desx, une grandeur caract6ristique dune ondc
guidec ou d’une ondc plane sinusoidal de pulsation o et de phase ~ l’engine ~,
Notes l.- La notion d’exposam IinLiquc dc propagation n’a de scns que lorsque AO et ysont enpnncipe ind~pcndants dc x.
2.- Lcxposrmt Iimlique dc propagation CS1gtkkralcment fonction dc la fr6quence et a lesdimensions dc l’inverse d’unc Iongueur.
propagation coetllcient (symbol: y)
Complex quanti[y y appearing in the expression AO e -P< JO(+J@, where the real part of this expressionrcprcscnts, ‘along a line paraflel to the x-axis, a characteristic quantity of a sinusoidal guided or planewave at angular frequency o and initial phase t$.
Notes 1.- The concept of propagation coefficient has a meaning only when A. and y are substantiallyindcpcndcnt of x.
2, - The propagation cocfticicnt is usuafly a function of frequency and has the dimension ofreciprocal Icngth.
ardcCsiljap]ptSv
( ?’ : >>! ) J=YI JAl-Ausbreitungskoeftlzientcoetlciente de propagaci6n (simbolo: y)coefficient di propagazione
Eat%%! (33% : 7 )kimownoic jednostkowa; stala propagacjicoeficiente de propagaqiioutbredningskoeftlcient
101-15-16 affaiblissement lin6ique (symbolc : a)(702-02 14 MOD) Partic rccllc de I’cxposant Iinciquc dc propagation,
No/e. Pour unc lignc dc transmission, I’affaiblisscment lin6ique est la Iimitc du quotient de la variationrelative d’unc grandeur dc champ cntrc dcux points sur I’axc par la distance des points, Iorsqueccuc distance tend vcrs kro.
attenuation coefficient (symbol: a)Real part of the propagation coefficient.
Nofe. - For a transmission line the attenuation cocfticicnt is the limit of the quotient of the relativechange of a field quantity bctwccn two points on the axis by the distance between the points,when this distance lends [o zero.
ardcCsitjaplptSv
(a:y}l)~#\&bDampfungskoef!lzientcoeficiente de atenuacion (simbolo: a)coefficient di attenuazione
ms$%~ (%3’%: a)thuniennoic jednostkowacoeficiente de atenuaqiio; coeficiente de enfraquecimentodampningskoef!lcient
101-15-17 dephasage lin6ique (symbole : ~(702-02 15 MOD) Partic imaginairc dc I’cxposant lin6iquc dc propagation
Note. Pour unc Iigne dc transmission, Ic dtphasagc lin6iquc est la Iirnite du quotient de la variation dcphase d’unc grandeur de champ entrc deux points sur l’axe par la distance des points, lorsque cettcdistance tend vcrs m%o.
phase coeftlcient (symbol: Dphase-change coefficientImaginary part of the propagation coefficient.
Nole. For a Transmission Iinc the phase cocfticient is the limit of the quotient of the phase change of a[icld quantity between two poinls on the axis by the distance between the points, when thisdistance tends to zero.
ardcCsitjaplplSv
(P’AwJ%.w’l-Phasenkoefflzientcoeticiente de fase (simbolo: Bcoeffrciente di fase
M*%* (%% : /9)przesuwnoit jednostkowa; staia fazowacoeficiente de desfasagemfaskoefflcient
58
IS 1885 (Part 72): 2008IEC 60050-101”:1998
.
101-15-18 optique giomt$trique(705 -02-20 MOD) Mod21eapplicable pour unelongueur d'ondetendmt versz6ro, pmlequel lapropagation desondesdms
divers milieux et~leurs fronti&res, estd6tertin6 aumoyen delanotion g60m6tnque derayonet non aumoycn de la th60ne gc%6rale des ondes.
geometric opticsModel, applicable for wavelengths approaching zero, by which the propagation of waves in various mediaandattheir boundaries isdetcrmined byusing thegcometncal concept ofrays and not the general theoryof waves.
ardeesitjaplptSv
+.uA.u3 d+.+geometrische Optik; Strahlenoptik6ptica geodtricaottica geometric
*H*%optyka geometryczm6ptica geom&ricageometrisk optik
101-15-19 onde incidente
(702-07-21) Onde qui se propage vers la sur~ace de separation de deux milicux ou vers unc discontinuity clans uncligne de transmission, ou vcrs un acc~s d’un r&scau +lectrique.
incident waveWave that travels toward the surface separating two media or a discontinuity in a transmission line, or aport of an electrical network.
ardeesitjap]ptSv
-&L -by
einfallende Welleonda incidenteonda incidente
A$Mfala padajqcaonda incidenteinfallande vhg
101-15-20 “onde diffract6e(705-04-43 MOD) Onde qui appamit clans un milieu, lorsqu’une onde incidente se propageant dam ce milieu rencontre un
ou plusieurs obstacles, limitant tvcntucllement des overtures, et qui n’est pas interpretable par I’optiqueg~omt%ique.
Note. - Une ondc diffract~e pcut exister clans des r6gions qui, selon l’optiquc g60m6trique, nc sent pasatteintcs par l’onde incidcnte ou par des ondes r6f16chics ou r6fract&es.
diffracted waveWave which occurs in a medium when an incident wave propagating in this medium encounters onc ormore obstacles, possibly limiting openings, and which is not interpretable by geometric optics.
Note. A diffracted wave may exist in regions which, according to the interpretation of geometric optics,arc not reached by the incident wave or by reflected or refracted waves.
~eesit
jap]pt.sV
>* bygebeugte Welleonda difractadaonda diffratta
lElmi&fala ugi@onda difractadaspridd v~g
59
IS 1885 (Part 72) :2008IEC6OO5O-101 :1998
101-15-21 onde r6fract&(705-04-07) 1) Onde qui apparaii au delh dune surface s6parant deux milieux difftients Iorsqu’une onde incidcnte
rencontre la surface, qui se propage en s’doigoant de celle-ei, g6n&alement clans une directiondiff6rente, et qui est interpn%ble par ~optique gtimi%-ique.
2) Onde qui se propage clans un milieu dent Ies pmpri%% varient de fagon continue clans l’espace et quiest inteqm%able par l’optique gt%x%xique.
refracted wave1) Wave which appears beyond a surface separating two different media when an incident wave meetsthe surface, which propagates away fkom the surface generally in a different direction, and which isinterpretable by geometric optics2) Wave which propagates in a medium with properties varying continuously in space and which isinterpretable by geometic optics.
ardeesitjaplptSv
;+ &ygebroebene WeUeOsuIarehwbdaOnda rifmsttaEtisfabsmdamanaonda mfraetadabruten V%
101-15-22 onde r4tKcbie(702-07-23 MOD) 1) Onde qui apparah Iorsqu’unc ondc renmntrc une surfaw s6parant deux rnilieux diff&ents, qui
s’610igne de la surface clans la m~me milieu que l’onde incidente et qui est interpretable par l’optiqueg60m&ique.
2) Onde assoc%e ?Iune onde incidente en un acciX d’un n%eau klectrique ou en une discontinuity duneligne de transmission, et qui se propage en sens inverse de l’onde incidente h partir de ce point.
reflected wave1) Wave which appears when a wave meets a surface separating two different medi~ which propagatesaway from the surface in the same medium as the incident wave, and which is interpretable by geometricoptics.2) Wave associated with an incident wave at a port of an electrical network or at a discontinuity in atransmission line, and propagating frum this point in a direction opposite to that of the incident wave.
ardeesitjaplptSv
L.-s& &yreflektierte WeUeonda refiejadaonda riflessa
E!Hillfata Odbitaonda refleetidareflekterad v&
101-15-23 cohkmee(702-01-43) Ph6nom&ne li6 A l’existence dune relation dt%inieentrc les phases des composarttes homologies de deux
ondes ou entre les valeurs de la phase dune m~me composante dune onde ~ deux instants ou en deuxpoints.
coherencePhenomenon related to the eaistence of a correlation between the phases of the correspondingcomponents of two waves or betweczt the values of the phases of a given component of one wave at twoinstants in time or two points in space.
2.esitjaplptSv
&L4iKohiirenaeobereneiaCoerenzank-b>xkobereneja; apdjno%coeri%seiakolserena
6’
60
I
IS 1885 (Part 72): 2008IEC 6OO5W1O1:1998
101-15-24 interference(702-08-32) Ph6nomkne n%ultant de la superposition de deux ou plus de deox oscillations ou ondes eoh6rentes et de
fr6quences 6gafes ou voisines, qui de manifeste par dcs variations de l’amplitude n%kante, clans l’espacesous forme de franges, ou clans le temps sous fame& hattements.
phase interferencewave interferencePhenomenon resulting from the superposition of two or more coherent oscillations or waves of equaf ornearly equrd frequency and appearing as a variation of the resulting amplitu&, in space in the form ofinterference patterns, or in time in the form of beats.
ardeesitjap]ptSv
Interferetiinterferenciainterferenza
#rFi?Jinterferencjainterferfmciainterferers
101-15-25 onde stationnaire
(705-0 I-40 MOD) R6suhat de la superposition de deux ondes pmgmsives dem&ne Mplence Sepropageant eslsensinverse.
Able. - Si les deux ondes ont la mi%neamplitude, tme onde stationnaim peut&mmpr6sent4e parleproduit dune fonction n%lle do temps et d’une f~ort tie &s Codmm&s spatiales.
standkg waveResult of the superposition of two traveling waves of the same frqumcy propagating in oppositedirections.
No/e. - If the two waves have the sanE amplitude, a standing wave can he represented by the product of areaf function of time and a real function of space morhaks.
ardeesitjaplplSv
ii+ &y
stehende Welleonda estacionariaonda stazionaria
%xEilkfala stojqeaonda estaciomiriastiende v~g
101-15-26 noeud (d’une onde stationnaire)Point dun milieu si~gc dune onde stationnaire, ob une grandeur spt%ific$evariant clans le temps a unevrdeur minimale.
No/e. - Si k noeud n’est pas un point iso16, on emploie les tcrmes u ligne nodale J,, * plan nodal >>ou<<surface nodal e >>.
node (of a standing wave)In a medium where a standing wave exists, point at which the amplitude of a specified time-dependentquantity has a minimum value.
Nore. If the node is not an isolalcd point, the terms “nodal line”, “’nodal point” or “nodal surface” areused.
ardcesitjaplplSv
(~+- Lg) ;&&
Knoten (cincr s~chenden Wclle)nodo (de una onda estacionaria)nodo (di un’onda stazionaria)l% (zzEilk@)
w~zel (fafi stoj~ccj)n6 (dc uma onda cstacioniiria)nod
61
IS 1885 (Part 72): 2008IEC6OO5O-101 :1998
101-15-27 ventre
Point dun milieu sikge dune onde stationnaire oti une grandeur sp6cifi6e variant drms le temps a unevaleur maximale.
Note. - Si le ventre n’est pas un point iso16, on emploie les termes Kligne ventrale W,u plan ventral >,oua surface ventrale ~~.
antinode
In a medium where a standing wave exists, point at which the amplitude of a specified time-dependentquantity has a maximum value.
Note. - If the antinode is not an isolated point, the terms “rmtinodal line”, “antinodal point” or %ntinodalsurface” are used.
?eesitjaplptSv
&s& ;&Bauch (einer stehenden Welle)vientreventre
R!!przeciww@ (fali stoj~cej)ventrebuk; antinod
62
IS 1885 (Part 72): 2008IEC6OO5O-101 :1998
LISTE DES SYMBOLES LITTERAUX
LIST OF LETTER SYMBOLS
‘1101-14-14101-11-01101-11-08101-11-41101-11-29101-11-40101-11-26101-11-25101-11-19101-11-13101-11-30101-11-26101-14-78101-14-08101-14-56101-14-17101-11-37101-14-18101-13-02101-11-02101-11-04101-11-02101-11-30101-14-15101-11-03101-11-41101-14-37101-13-05101-11-26101-14-07101-15-16101-15-17101-15-15101-13-06101-14-20101-11-43101-11-44101-13-07101-13-02101-14-38
101-13-02101-14-39101-15-08101-11-38.101-14-40101-14-36
IS 1885 (Part 72) :2008IEC6OO5O-101 :1998
LISTE DES SIGNES’MATHEMATIQUES
LIST OF MATHEMATICAL SIGNS
101-11-03101-11-04
101-11-17
101-11-24101-11-05101-11-36
101-11-01
101-11-07
101-11-18
101-14-14
101-14-14
101-11-10101-11-02
101-11-06
1
●
.4
1’
IS 1885 (Part 72) :2008IEC6OO5O-101 :1998
A
absolute value ................................................
absolute value, average ..................................
allcmaLing ......................................................
alternating component ...................................
amplitude .......................................................
analog (US) ...................................................
analogue ........................................................
angle (between two vectors) ..........................
angle, phase ...................................................
angulm frequency ..........................................
angular frequency, complex ..........................
antinodal line .................................................
antinodal plane ..............................................
antinodaJ surface ......... .................................
antinode .........................................................
aperiodic ........................................................
argument ........................................................
arithmetical average .......................................
arithmetical mean (value) ..............................
attenuation coefficient ...................................
autocorrelation function ...............................
average absolute value ...................................
average, arithmetical ......................................
average, geometric .........................................
average, harmonic ........................................
average, inverse .............................................
average, logarithmic ......................................
B
backward wave ..............................................
band, frequency .............................................
bandwidth, (frequency) .............................. ..
base vector .....................................................
beat ................................................................
beat frequency ... . ........... .... ...................... .
L
circulation ................................................... .,
codc ...............................................................
coherence .......................................................
complex angular frequency ...........................
complex number ............................................
complex pulsatance .......................................
component (of a vector quantity )...................
component vector (of a vector quantity )........
conjugate ....... ..............................................
content, harmonic ..........................................
content, ripple ................................................
coordinate (of a vector quantity) ...................
comelation function .......................................
cross product .................................................
crosscomelation function ...............................
101-11-01
101-14-48
101-14-29
101-14-33
101-14-35
101-12-05
101-12-05
101-11-22
101-14-39
101-14-36
101-14-37
101-15-27
101-15-27
101-15-27
101-15-27
101-14-05
101-11-08
101-14-14
101-14-14
101-15-16
101-14-73
101-14-48
101-14-14
101-14-17
101-14-18
101-14-18
1OI-I4-17
101-15-14
101-14-58
101-14-59
101-11-13
101-14-60
101-14-61
101-11-28
101-12-04
101-15-23
101-14-37
101-11-02
101-14-37
101-11-14
101-11-15
101-11-05
101-14-54
101-14-33
101-11-14
101-14-72
101-11-24
101-14-74
65
curl ................................................................
cycle ..............................................................
D
dmpedoscillation ........................................
damping coefficient .......................................
data ................................................................
density, power spectral ..................................
density, power spectrum ................................
density, probability .......................................
deviation, standard ........................................
difference, phase ...........................................
diffracted wave ..............................................
digital ,,.,.,.,,,,,.,.,.,,,,.,...,.,.,,,..,..,,.,.,..,,,,,,.,.,.,.,
Dirac function ...............................................
direct component ...........................................
direction of propagation ................................
discrete value ................................................
dispersive ......................................................
distortion factor (deprecated in this sense) ....
distibution ....................................................
distribution function ......................................
distribution, probability ................................
divergence .....................................................
divergence field, zero ....................................
dot product ....................................................
doublet, unit ..................................................
E
effective value ...............................................
cquipotential .................................................
crgodic ..........................................................
expectation (of a random variable) ................
F
iield . . ........ . . . . ,,, ,,, ,,, ,., ,,, .,,
field line ........................................................
lieldqumtity .................................................
lirst harmonic (deprecated) ...........................
flux (of a vector quantity) .............................
forced oscillation ...........................................
fom factor ....................................................
forward wave .................................................
Fourier series .................................................
Fourier trmsfom ..........................................
Fourier transform, inverse .............................
fractile (of a probability distribution), p- . . .
free oscillation ...............................................
frequency ......................................................
frequency bmd ..............................................
frequency bandwidth .....................................
frequency, angular .........................................
frequency, beat ..............................................
frequency, fundamental .................................
101-11-41
101-14-24
101-14-19
101-14-20
101-12-03
101-14-71
101-14-71
101-14-77
101-14-80
101-14-40
101-15-20
101-12-07
101-13-06
101-14-32
101-1s-04
101-12-06
101-15-11
101-14-55
101-13-01
101-14-76
101-14-75
101-11-40
101-11-45
101-11-17
101-13-07
101-14-16
101-11-39
101-14-68
101-14-78
101-11-34
101-11-47
101-11-35
101-14-50
101-11-32
101-14-21
101-14-56
101-15-13
101-13-08
101-13-09
101-13-10
101-14-81
101-14-22
101-14-08
101-14-58
101-14-59
101-14-36
101-14-61
101-14-50
IS 1885 (Part 72) :2008IEC6OO5O-101 :1998
Fundamental (component) ..............................
fundamental frequency ..................................
G
generalunit step function ..............................
geometric average ..........................................
geometric mean value ....................................
geometric optics ............................................
gradient ..........................................................
group velwity ................................................
H
half-wave, negative ........................................
half-wave, positive ........................................
harmonic (component) ..................................
harmonic average .........................................
harmonic content ...........................................
harmonic factor, (total) ..................................
harmonic mean value .....................................
harmonic number ...........................................
hmoticorder ..............................................
harmonic (deprecated), first ...........................
Heaviside function .........................................
hybrid ............................................................
I
imaginary p~ ................................................
impulse (US), unit .........................................
in opposition ..................................................
in phase .........................................................
in quadrature .................................................
incident wave .................................................
infomation ....................................................
initial phase ...................................................
instantaneous phase .......................................
instantaneous value .......................................
integral, line ...................................................
integraf, scalar line ........................................
integraf, sutiace .............................................
integral, volume .............................................
inlercomelation function ................................
interference, phase .........................................
interference, wave ..........................................
inverse average ..............................................
inverse Fourier transform ..............................
inverse Laplace transform .............................
irrotational field .............................................
L
lag, (phase) ....................................................
Laplace kansfom ..........................................
Laplace transfoxm, inverse ............................
Laplacian (of a scalar field quantity) .............
Laplacian (of a vector field quantity) ............
lead. (phase) ..................................................
101-14-49
1OI-I4-5O
101-13-03
101-14-17
101-14-17
101-15-18
101-11-37
101-15-12
101-14-47
101-14-46
101-14-51
101-14-18
101-14-54
101-14-55
101-14-18
101-14-52
101-14-52
101-14-50
101-13-02
101-12-08
101-11-04
101-13-06
101-14-45
101-14-43
101-14-44
101-15-19
101-12-01
101-14-39
101-14-38
101-14-10
101-11-24
101-11-28
101-11-31
101-11-33
101-14-74
101-15-24
101-15-24
101-14-18
101-13-10
101-13-12
101-11-46
101-14-42
101-13-11
101-13-12
101-11-43
101-11-44
101-14-41
line element, scalar ........................................
line element, (vector) ....................................
line integral ...................................................
line integral, scalar .......................................
line, antinodaf ...............................................
line, field .......................................................
line, nodal .....................................................
logarithmic average .......................................
logic ..............................................................
longitudinal wave ..........................................
M
magnitude ......................................................
matix ............................................................
mean (of a random variable) .........................
mean (value) ..................................................
mean (value), arithmetical .............................
mean vafue, geometric ..................................
mean value, harmonic ...................................
medim ...........................................................
modulus .........................................................
modulus (deprecated in this sense) ...............
N
nabla (opmtor) .............................................
negative hdf.wave ........................................
nodal line ......................................................
nodal plae ....................................................
nodaf sufiace .................................................
node (of a standing wave) .............................
noise ..............................................................
nom ..............................................................
number, complex ...........................................
number, harmonic .........................................
number, wave ................................................
ooperator, nabla ..............................................
opposition, in ................................................
optics, geometic ...........................................
order, hmonic .............................................
orthogonal .....................................................
ofihonomd ...................................................
oscillating ......................................................
oscillation ......................................................
oscillation, damped .......................................
oscillation, forced ..........................................
oscillation, free ..............................................
oscillation, relaxation ....................................
P
p-fractile (of a probability distribution) ........
P-quantile (of a probability distribution) .......
peak factor .....................................................
peak value .....................................................
101-11-25
101-11-26
101-11-27
101-11-28
101-15-27
101-11-47
101-15-26
101-14-17
101-12-09
101-15-06
101-11-18
101-11-11
101-14-78
101-14-14
101-14-14
101-14-17
101-14-18
101-14-82
101-11-07
101-11-18
101-11-36
101-14-47
101-15-26
101-15-26
101-15-26
101-15-26
101-14-63
101-11-18
101-11-02
101-14-52
101-15-09
101-11-36
101-14-45
101-15-18
101-14-52
101-11-20
101-11-21
101-14-03
101-14-04
101-14-19
101-14-21
101-14-22
101-14-25
101-14-81
101-14-81
101-14-57
101-14-11
66
IS 1885 (Part 72) :2008IEC6OO5O-101 :1998
pcalctopcak value (obsolete in this sense)
pca!+to-valley value .. . . ... . .... . . .. .... .
period . . . . . .. ... ..... . . ...... . ...... .
periodic ..........................................................
pe~endiculm .................................................
phase ..............................................................
phase mgle ...........~.. ......................................
phse coefficient ............................................
phase difference .............................................
phase interference ..........................................
phase lag ........................................................
phase lead ......................................................
phase velocity ................. ...............................
phase, in ........................................................
phase, initial ..................................................
phase,instantaneous,,,,,,,,,,,,,,,,,,,,,,,..,,.,.,,..,...phase-charrgc coefficient ....... .. .. .. . . . ... .. .
phasor ...........................................................
plane wave .....................................................
pkmc, antinodal .............................................
pime. nodaI ...................................................
positive half-wave
potenlial, (scdm) ...........................................
potential, vector .............................................
power spectral density ...................................
power spectmm .............................................
power spectrum density .................................
probability . . . ... .. . .. . . . . . .
probability density .........................................
probability distribution ..................................
product. cross ................................................
product, dot ...................................................
product, scalar ...............................................
product, vector ...............................................
propagation coefficient ..................................
propagation, direction of ...............................
pulsatance ......................................................
pulsatance, complex .....................................
pulsating ........................................................
pulse ..............................................................
pulse Utin ......................................................
pulse, unit ......................................................
pulscdquatity ............................................. .
Qquadratic vahre ..............................................
quadrature, in ................................................
quantile (of a probability distribution), p-
quantity, ticld ...............................................
quantity, scalar .............................................
quantity, tensor ..............................................
quantity, vector ..............................................
101-14-13
101-14-13
101-14-07
101-14-06
101-11-20
101-14-38
101-14-39
101-15-17
101-14-40
101-15-24
101-14-42
101-14-41
101-15-10
101-14-43
101-14-39
101-14-38
101-15-17
101-14-62
1o1-15-05
101-15-27
101-15-26
1OI-I4-46
101-1 1-38
101-11-42
101-14-71
101-14-70!
101-14-71
101-14-65
101-14-77
101-14-75
101-1 I-24
101-11-17
101-11-17
101-11-24
101-15-15
101-15-04
101-14-36
101-14-37
101-14-31
101-14-26
101-14-27
101-13-06
101-14-28
101-14-15
101-14-44
101-14-81
101-11-35
101-11-09
1OI-II-I2
101-11-10
R
ramp, unit ......................................................
rmdom ..........................................................
random variable ............................................
random, stationary .........................................
real pti .........................................................
rectified value ................................................
reflected wave ...............................................
refracted wave ...............................................
relaxation oscillation .....................................
reptincy .......................................................
resonance ......................................................
right-handed trihedron ..................................
ripple con@nt ................................................
rms vafue (1) .................................................
tms vahte (2) .................................................
root, square ...................................................
root-mean-square vahre (1) .... ......................
root-mean-square vafue (2) ...........................
rohtion ..........................................................
s
scafar line element .........................................
scafar surface element ...................................
scdmline inteWd .........................................
scalapotential ..............................................
scalar product ................................................
scalar (quantity) ............................................
series, Fourier ................................................
signal .............................................................
signum ...........................................................
sinusoidal quantity ........................................
spectral density, power ..................................
spec~m ........................................................
spectrum density, power ................................
spectmm, power ............................................
square root ....................................................
stmd=ddeviation .........................................
standing wave ................................................
stationary random ..........................................
steady s@te ....................................................
step function, unit .........................................
step function, general unit .............................
sub-harmonic ................................................
sum, (vector) .................................................
surface element, scalar ..................................
surface element, (vector) ...............................
surface inte~d ..............................................
surface, antinodal ..........................................
sufime. nohl ................................................
symmetrical (alternating) quantity ................
synchronous ..................................................
101-13-04
101-14-64
101-14-66
101-14-67
101-11-03
101-14-48
101-15-22
101-15-21
.101-14-25
101-15-09
101-14-23
101-11-23
101-14-33
101-14-15
101-14-16
101-11-06
101-14-15
101-14-16
101-11-41
101-11-25
101-11-29
101-11-28
101-11-38
1OI-I1-I7
101-11-09
101-13-08
101-12-02
101-13-05
101-14-34
101-14-71
101-14-69
101-14-71
101-14-70
101-11-06
101-14-80
101-15-25
101-14-67
101-14-01
101-13-02
101-13-03
101-14-53
101-11-16
101-11-29
101-11-30
101-11-31
101-15-27
1OI-15-26
101-14-30
101-14-09
IS 1885 (Part 72): 2008IEC6OO5O-101 :1998
T
tensor (quantity) (of second order) ................
total harmonic distortion (deprecated inthis scnsc) ................................................
totaf harmonic factor .....................................
train, pulse .....................................................
transform, Founcr ..........................................
transform, inverse Fourier, ............................
transform, inverse Laplacc ............................
transform, Laplacc .........................................
transform, Z. ..................................................
transient (adjective and noun) .......................
transverse wave .............................................
tnhcdron, right-handed ..................................
uunit doublet ...................................................
unit impulse (US) ..........................................
unil pulse .......................................................
unil ramp .......................................................
unit step function ...........................................
unit step function, generaf .............................
unit vector .....................................................
vvafley vafue ...................................................
vafley vafue, peaf-to- ....................................
variable, random ............................................
variance .........................................................
vector .............................................................
vector ptcntid ..............................................
vector prtiuct ............................................... .
vector quanti[y ...............................................
vcctorsum .....................................................
vector line elemcn[ .. ....................... .. . .. . .
vector surface clement ...................................
vector, base ....................................................
l.cctor. com~nenl .........................................
velocity, group .............. .................................
velocity, phase ...............................................
volume integd ..............................................
wwave . ..... ............. ......... ..... ........ .. ....... .
wave interfemncc ...........................................
wave number .................................................
wave, backward ..... .......................... ... . ..
wave. diffmcted ................... ..........................
wave, fowmd ................................................
wave, intident ................................................
wave, longitudinal . ...................................
wave, plme ....................................................
wave, mflmted ...............................................
wave, refracted . .... .. ........................ ... ... . .
wave, s~ding ...............................................
101-11-12
10-14-55
101-14-55
101-i4-27
101-13-09
101-13-10
101-13-12
lol-13-fl
101-13-13
101-14-02
101-15-07
101- I 1-23
101-13-07
101-13-06
101-13-06
101-13-04
101-13-02
101-13-03
101-11-19
101-14-12
1o1-14-13
101-14-66
1OI-I4-79
101-11-10
101-11-42
101-11-24
101-1I-IO
10-11-16
10-11-26
101-11-30
101-11-13
101-II-15
101-15-12
IO-I5-1O
IO-11-33
1OI-I5-O1
101-15-24
101-15-09
101-15-14
101-15-20
lol-15-f3
1OI-15-19
101-15-06
10-15-05
101-15-22
1OI-I5-21
10i-15-25
wave, transverse ............................................ 1OI-I5-07
wavefom ...................................................... 101-15-02
wavefront ...................................................... 101-15-03
wavelength .................................................... 10-[5-08
[.Z.trasfom ................................................... 101-13-13
zero divergence field ..................................... IO-II-45
68
(Continued from second cover)
International Standard
IEC 60050 (705) :1995 International Electrotechnical Vocabulary — Chapter 705: Radio wavepropagation
1s03534-1 :1993 Statistics — Vocabulary and symbols — Part 1: Probability and generalstatistical terms
For the purpose of deciding whether a particular requirement of this standard is complied with, thefinal value, observed or calculated, expressing the result of a test, shall be rounded off in accordancewith IS 2: 1960 ‘Rules for rounding off numerical values (revised). The number of significant placesretained in the rounded off value should be the same as that of the specified value in this standard.
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This Indian Standard has been developed from Doc No. ETD 01 (5790).
Amendments Issued Since Publication
Amendment No. Date of Issue Text Affected
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