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German-English mathematics diction

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GERMAN-ENGLISH

MATHEMATICS

DICTIONARYCOMPILED AND EDITED BY

CHARLES HYMAN

®>/NTERLANGUAGE DICTIONARIES

ESERVEDFORERENCE

FADINGil^u'! -..-'

NOT TO BE TAKENFROM THE LIBRARY

]

Library of Congress Catalog Card Number: 59-15818

Copyright 1960 by

Interlanguage Dictionaries Publishing Corp.

227 W. 17th St., New York 11, N.Y.

All rights reserved. No part of this publicationmay be reproduced in any form without written

permission from the publisher.

Printed in the United States of America

PREFACE

Rapid development in any scientific field is almost invariably ac-

companied by a parallel development in language. Since the advance-

ment of human knowledge in many fields is today truly an international

endeavor, there exists an ever-increasing need for up-to-date multi-

lingual scientific dictionaries.

Recent advances in such fields as astrophysics and automation have

again emphasized the importance of the study of mathematics, a study

in which reference to German books and periodicals remains of great

importance. It may therefore be assumed that workers in many fields,

as well as students and teachers, will find this "German- English Dic-

tionary of Mathematics" a valuable tool by reason of its listing of newly

coined expressions and of the varied meanings of the same term ac-

cording to different applications. For the same reasons, translators

will find it a safe guide in the choice of precise terms.

The author, Charles J. Hyman, after studying at Columbia and

Fordham universities and at the Brooklyn Polytechnic Institute, was a

professor of mathematics at the University of the Philippines and a

civil engineer in the service of the U.S. Coast and Geodetic Survey.

Later he was active as a translator of books on higher mathematics and

engineering and editor of a German- English physics dictionary. He is

widely known as an expert in mathematics and the related sciences.

THE PUBLISHERS

Digitized by the Internet Archive

in 2012 with funding from

LYRASIS members and Sloan Foundation

http://archive.org/details/germanenglishmatOOhyma

FOREWORD

The terms that constitute this "German-English Dictionary of

Mathematics" have been collected from textbooks and other authori-

tative works in the field of mathematics on the basis of long years of

experience in scientific and technical translation.

The present work is intended as a supplement to, and not as a sub-

stitute for, a general German- English dictionary. The student of Germanwill note immediately that the nontechnical every-day translations of

many terms have been excluded. On the other hand, every effort has

been made to include all possible translations applicable in mathematics

and related fields. An example will illustrate this point:

Zug (m ) circuit, path, track; closed curve (on

Riemann surface); drawing (of a ball);

(phys.) pull, tension

Another device employed to eliminate guesswork and mistranslation is

the use of model phrases and sentences showing the application of a

term in context. For example:

Eikonalgleichung (f) eiconal equation, die

E. gehorcht dem Fermatschen Gesetzder kiirzesten Ankunft: the eiconal equa

-

tion obeys Fermat's law of least time

Not counting subtitles, synonyms, etc., this dictionary contains

more than 8500 entries, many of them not available either in large Ger-

man-English dictionaries or in bilingual technical and scientific works.

Users of this dictionary are invited to communicate their comments

and suggestions to the author in care of the publisher.

CHARLES J. HYMAN

ABBREVIATIONS

(a) adjective

(adv) adverb

(astr.) astronomy

cf. confer

(chem.) chemistry

(cryst.) crystallography

(dat.) dative

(descr.) descriptive geometry

(elec.) electricity

(electron.) electronics

(engin.) engineering

(f) feminine

(geog.) geography

(geom.) geometry

(log.) logic

(mach.) machinery

(magnet.) magnetism

(math.) mathematics

(meas.) measure(mech.) mechanics

(n) neuter

(N) proper name(opt.) optics

(phot.) photography

(phys.) physics

(pi.) plural

(sing.) singular

(statist.) statistics

(surv.) surveying

(symb.) symbol

(vi) intransitive verb

(vr) reflexive verb

(v. recip.) reciprocal verb

(vt) transitive verb

Abakus (m) abacusabandem (vt) alter, change, modify,

vary

Abanderung (f) change, modification,variation

Abbild (n) image; mapab bil den (vt) map, make an image of

Abbildung (f) map, mapping, image,projection, representation.flachentr eue A : equal-area mappingor projection;

konforme oder winkeltreue A;

conformal or angle -preserving or

isogonal mapping;langentreue A: length-preserving or

equidistant mappingAbbildungsprinzip (n) mapping

principleAbbildungssatz (m) mapping theorem

or principleAbbildungs verfahren (n) mapping

method or process

ab bosch en (vt, vi) slant, slope

Abboschung ( f ) slant, slanting, slopingab brechen (vt, vi) break off.

die Reihe nach dem ersten Gliedabbrechen: break off the series

after the first termAbel (N) Abelscher Hilfssatz: Abel's

lemma; Abelsche Asymptotik:Abelian asymptotic behavior;Abelsches Integral: Abelian integral

Aberration (f) aberrationAberrations winkel (m) angle of aber-

ration

A b f a 1

1

(m) decrease, drop

abfal len (vi) decline, decrease, slope

downabflachen (vt, \r) flatten; level off;

become flat or level

Abflachung (f) flatteningabgeflacht (a) flattened

abgekehrt (a) turning away. (cf.

abge wand t)

abge kiirz t (a) abbreviated, abridged,short, .shortened

abgeleitet (a) derivedAbgeleitete ( f ) derivative, derived

function

abgeplattet (a) flattened, oblatea bgeschl osse n (a) closedA bges chlossenh eit (f) closure.

A. einer Funktionenfolge: clo-

sure of a sequence of functions

Abgeschlossenheitskri ter ium (n)

closure criterion

abgestumpft (a) truncatedabgestutzt (a) truncatedabgewandt (a) turning away.

abgewandte Spitze: ceratoidcusp

abgrenzen (vt) bound, delimit,

dem ar ca te

Abgrenzung (f) delimitation, de-marcation

abhangig (a) dependentAbhangigkei t (f) dependenceAbhangigkeitskoeffizient (m)

coefficient of contingencyabkurzen (vt) abridge, shortenAblauf (m) course, passageablauf en (vi) pass; run down; waneableitbar (a) deducibleAbleitbarkeit (f) deducibilityableiten (vt) deduce, derive;dif-

ferentiate (a function)Ableitung (f) derivation; derivate;

derivative, derived function,differential coefficient, differen-tial quotient, differentiation

Ableitungsformel (f) formula for

derivativesA bleitungs gl eichung (f) equation

for derivativesAbl eitungsindex (m) derivative

subscript

A bl eitungsor dnung (f) order of

derivativeAbleitungsprozess (m) process of

differentiation, derivative proc-ess

A bleitungs ye ktor (m) derivativevector

ablenken (vt) deflect, divert

Abl enkung ( f ) deflection, deviation,diversion

Abl enkungsfeld (n) deflecting field

Abl enkungskr aft (f) deflecting force

A bl enkungspr is ma (n) deviationprism

Ablenkungs winkel (m) angle of deflec-

tion

Ablenkungsz ahl (f) coefficient of de-flection

ablesen (vt) read off

Ablesung ( f ) readingabmess en (vt) measure off

Abmessung (f) measurementAbnahme (f) decrease, decrementabnehmen (vi) decreaseabnehmend (a) decreasingabplatten (vt, vr) flatten, make oblate;

become oblateAbplattung (f) flattening, ellipticity,

oblateness; pi atykurtos is (of fre-

quency curve)abrollen (vt, vi, vr) unroll, unwind;

(with auf) roll, or unroll, uponAbrollen (n) unrolling, unwindingabrunden (vt) round off; smoothAbrundung (f) rounding off; smoothingAbrundungsfehler (m) error in rounding

off

abschatzen (vt) estimate, appraise;

evaluateAbschatzung (f) estimate, appraisal;

evaluationAbschatzungsfunktion (f) estimating

function

abscheiden (vt, vr) separate; removeAbscheidung (f) separation; removalabschliessen (vt) close off

Abschliessung (f) closure

abschneiden (vt) cut off, intercept,

subtendAbschneidung (f) cutting off

Abschnitt (m) section, segment, inter-

cept

absch wachen (vt) reduce, weakenAbschwachen (n), Abschwachung (f)

reduction, weakeningAbsicht (f) aim, purposeabsolut (a) absoluteAbsolutglied (n) absolute termAbso lutheit ( f ) absolutenessAbsolutwert (m) absolute valueabsondern (vt) detach, separateAbsonderung (f) removal, separationAbsorptions gesetz (n) law of absorptionabspalten (vt) split off

Abspaltung (f) splitting off

Abstand (m) distance, lengthabstandsgleich (a) equidistantAbstandspunkt (m) (astr.) apsis

Abstandstripel (n) distance triplet

Abstandsverhaltnis (n) distanceratio

abstecken (vt) lay or mark out, plotAbs teckung (f) laying or staking out,

plotting

abstehen (vi) be distant fromabsteigen (vt) descendabstossen (vt) repel

Abstossung (f) repulsionAbs tossungskraft (f) repelling forceabstra kt (a) abstractA bs tra ktion (f) abstractionabstreichen (vt) cross out, discardabstumpfen (vt) truncateabstutzen (vt) truncateabsurd (a) absurdAbsurditat (f) absurdityAbszisse ( f ) abscissa

Abszissenachse (f) axis of abscissas

Abszissendifferenz (f) difference of

abscissas

abteilen (vt) divide; separateAbteilung (f) division; separation

(from)abtragen (vt) lay or measure off

Abtragung (f) laying or measuringoff

abtrennen (vt) separate, removeAbtrennung (f) separation; removala bwar ts (a) downwardabwechs eln (vi) alternateabwechselnd (a) alternate, alternat-

ing

Abwechslung ( f ) alternationabweichen (vi) deviate, be deflectedAbweichung (f) deviation; deflec-

tion; variation, varianceA bweichungs moment (n) deviation

mom ent

Abweichungspunkt (m) deviationpoint

Abweichungs winkel (m) angle of de-

flection or deviation; (astr.) de-

clination

abw er fen (vt) net (as profit)

abwickelbar (a) developableAbwic kelbarkeit (f) de velopability

A bwickelkrummung (f) tangential

curvature, geodesic curvature

abwickeln (vt) develop or unroll,

unwindAbwickelung (f) development, un-

rolling; unwinding

Abwicklungskurv e (f) involuteabzahlbar (a) countable, denumerable,

enumerableAbzahl barkeit (f) countability , denumer

ability, enu m erabili ty

abzahlbarviel (a) having cardinalityaleph-null (K )

abzahlen (vt) count, denumerate, enu-merateabzahlende Geometrie : enumerativegeometry

Abzahlung (f) count(ing), denumerationab Zieh en (vt) subtract

Abzinsu ngsf ak tor (m) present worth of

a unit amountAbzug (m) deductionAchs e (f) axis, line of referenceAchsenabsch nitt (m) intercept on axis

Achs enabstand (m) distance of axis

Achsendrehung (f) rotation or revolu-tion about an axis

Achs endreibein (n), A chsendr eieck (n)

trihedral (angle) of coordinate axes

achsenf or mig (a) axial

Achs enkoord inat e (f) axial coordinateA c hsenkreuz (n) figure of an axial

system of coordinatesAchsenlange (f) length of axis

Achs enrichtung (f) direction of axis (or

axes), axial directionAchs enschnitt (m) section through the

axis; intercept on an axis

Achs enschnitt form (f) intercept formof equation (of line, etc.)

Achs ensum m e (f) sum of the axesAchs ensymmetrie (f) axial symmetryachsens ymm etris ch (a) axially symmet-

rical

Achsenverhaltnis (n) axial ratio

Achs en wink el (m) angle between axes,

angle of ordination, axial angleach t eight; eighthAcht (f) figure eightAcht eck (n) octagonAchtel (n) eighth part

Achtelellipsoid (n) octant of an ellip-

soid

Acht elflach (n) ogdohedronachtelflachig (a) ogdohedralAchtelflachner (m) ogdohedronAchtelkugel (f) octant of a sphere

Achtelmeile (f) furlonga ch tens (adv) in the eighth place,

eighthly

A chter (m) figure eight

Achterkurve (f) figure eightachtfach (a) eightfoldachtfaltig (a) eightfoldAch tflach (n) octahedronachtflachig (a) octahedralA chtfi ach ner (m) octahedronachtmal e ight timesachtmalig (a) eight timesachtseitig (a) eight-sidedachtzahlig (a) octupleach tzehn eighteena ch tzig eightyachtzigs t eightieth

Adabsurdumfuhrung (f) reductio adabsurdum

Addend (m) addendaddieren (vt, vi) add. zu addierende

Konsta nte: additive constantAddiermaschine (f) adding machineAddierung (f) additionAddition (f) additionA dditionsf ehler (m) mistake in addi-

tion

Additionsf ormel (f) addition formulaAdditionsmaschine (f) adding machineA dditionszeichen (n) addition or plus

sign

additiv (a) additiveA diabate (f) adiabatic curveadiabatisch (a) adiabaticadjungieren (vt) adjoinadjungiert (a) adjointA djungiert e (f) adjoint, complementAdjunkte (f) complementary deter-

minant, algebraic complement,cofactor

Adjunkti on (f) adjunctionAdler (m) eagle; back or tail of coinAffensattel (m) monkey saddle (point),

parabolic umbilicaffin (a) affine. affiner Zusammen-

hang: affine connectivity or

relationship

Affinitat (f) affinity

Affinitatsachse (f) axis of affinity

A gg re g at ( n ) a gg re g ate

Aggregatzustand (m) state of matterahnlich (a) similar

ahnlich-geordnet (a) similarly or-

deredahnlich- isomorph (a) order -isomor-

phic

A*hnlichkeit (f) similarity, similitude

A hnlichkeitsachse (f) axis of similitudeAhnlichkeitskreis (m) circle of simili-

tude

Ahnlichkeitspunkt (m) center of simili-

tude

Ahnlichkeitstransformation (f) trans-

formation of similarity or simili-

tude; homothetic transformationAhnlichkeitsverhaltnis (n) ratio of

similitudeMAhnlichkeitszentrum (n) center of

similitudeAhrenkurve ( f ) Cotes' spiral, epi

Ak tion ( f ) actionaktuell (a) actualAkus tik (f) acousticsakustisch (a) acousticAkzeleration (f) accelerationAkzeptierungseigenschaft (f) operating

characteristic functionakzessorisch (a) accessoryAleph (n) Hebrew letter K

Alephformel (f) aleph formulaAl ephhypothese (f) aleph hypothesisAlgebra (f) algebraalgebraisch (a) algebraicalgebraisch-abgeschlossen (a) alge-

braically closed or completeal<gebraisier en (vt) algebraizeAlgebraisierung (f) algebr aiza tion

Al gebrenklass e (f) class of algebrasAlgebrenklassengruppe (f) group of

classes of algebrasAlgorithmus (m) algorithmaliquot (a) aliquotallgemein (a) general, generic, univer-

sal, literal

allgemeingultig (a) generally or uni-versally valid

Allgemeinheit (f) generalityAllgemeinzeichen (n), Allzeichen (n)

universal quantifierAlpha (n) Greek letter alpha (A, cc)

Al ternative (f) alternative.

Fredholmsche A : Fredholm's alter-

nativealternieren (vi) alternate.

alternierendes Verfahren: alter-

nating method of process (of Schwarz)Altersgliederung (f) age distributionAl tersversicherung (f) old-age insuranceA m p er e (n) ampereAmperemeter (n) ammeterAmperestunde ( f ) ampere-hour

Am plitude (f) amplitude, anomaly,azimuth, polar angle

Amplitudengleichheit (f) equalityof amplitudes

Amplitudenfunktion (f) function of

the amplitudeAmplitudenkonstante (f) amplitude

constantAmplitudenkurve (f) amplitude

curveAmplitudenvektor (m) amplitude

vectorAmplitudenverhaltnis (n) amplitude

ratio

anaklastisch (a) anaclasticana 11a gma tis ch (a) anallagmaticanalog (a) analogousAnalogie ( f ) analogyAnalogiemaschine (f) analog com-

puter

Analogon (n) analogon, analogAnalyse (f) analysis

Analysenfelhler (m). error in anal-ysis

analysieren (vt) analyzeAnalysis (f) analysis

analytisch (a) analytic

analy tisch- geometrisch (a) analy-tic- geometric

ander (a) other

andern (vt, vr) change, vary

anderthalb (a) one and a half-w

Anderung (f) change, variation

Anderungsgeschwindigkeit (f) rate

of changeaneinanderliegend (a) mutually

adjacentaneinanderstossen (vi) join, abut

Anfangsbedingung (f) initial con-dition

Anfangsdaten (npl) initial data or

conditionsAnfangsgeschwindigkeit (f) initial

velocityAnfangskoeffizient (m) leading

coefficientAnfangslage (f) initial position

Anfangsoszillation (f) initial os-

cillation

Anfangspunkt (m) initial point,

origin, starting point

Anfangsrichtung (f) initial direc-

tion

Anfangswert (m) initial value

10

Anfangszahl (f) initial numberAnfa ngszeit (f) initial timeAn fangszustand (m) initial state

angena'hert (a) approximateangeordne t (a) orderedangeschrieben (a) escribedangewandt (a) appliedangleichen (vt) equate, adjust, adaptAngl eichung (f) equality, adjustmentangreifen (vi) be applied, act on

angrenzen (vi) be adjacent or con-tingous

Angriffspunkt (m) point of applicationangu 1 ar (a) angularAnhaltspunkt (m) distinguished point

(of curve)anhangen (vt) annex, appendanharmonisch (a) anharmonicanhaufen (vt, vr) accumulate, cluster

Anhaufung (f) accumulation, cluster

anisometr isch (a) anisometricanisotrop (a) anisotropicAnisotropie (f) anisotropyaniso tf opisch (a) anisotropicAnkr ei s (m) escribed circle

Ankreishalbmesser (m) radius of es-

cribed circle

Ankreismittelpunkt (m) center of es-

cribed circle, excenteranliegen (vi) be adjacentanliegend (a) adjacentannahern (vt, vr) approach, approxi-

mateAnnaherung (f) approach, convergence;

approximationAnnaherungsflache ( f ) approximation

surfaceAnnaherungsgrad (m) degree of approxi-

mationAnnaherungskurve (f) approximation

curveAnnaherungsverf ahren (n) method of

approximationannaherungsweise (adv) approximatelyAnnaherungswert (m) approximate

valueAnnahm e ( f ) assumption, hypothesisAnnahmez if fer (f) acceptance numberannehmen (vt) assume; acceptannullier en (vt) annihilateAnnullierung (f) annihilationanomal (a) abnormal, anomalousAnomalie ( f ) anomaly; amplitude,

argument, polar angle

anordnen (vt) arrange, order

Anordnung (f) arrangement, order,

array

anormal (a) abnormalanpassen (vt) fit, adaptAnpassung (f) fitting

Anpassungsf ah igkeit (f) adaptabilityAnsa tz (m) formulation or set-up

(of an equation)anschaulich (a) intuitive; graphic,

visual

Anschauung (f) inspection; intuition

Anschauungsbe griff (m) intuitive

ideaanschmiegen (vt) adapt to, fit to;

(vr) press against, osculateAnschmiegung (f) osculation;

adaptationanschreiben (vt) write down, es-

cribe

ansetzen (vt) set up (an equation)Ansicht (f) viewAnsicht ebene (f) plane of projec-

tion

anspannen (vt) stretch

Anspruch (m) claimanstoss en (vi) be adjacent or con-

tigous; strike (against), impingeanstoss end (a) adjacentanstr eichen (vt) markAnteil (m) share, portion, compo-

nent

antiautomorph (a) an tiautomor phicAntiautomorphismus (m) antiauto-

morphismantiisomorph (a) anti-isomorphicAn tiisomorphismus (m) anti-iso-

morphismAntikausti k (f) anticaustic, second'

ary caustic

antiklastisch (a) anticlastic

antikommut ativ (a) anticommuta-tive

Antikommutator (m) anticom muta-tor

Antilogarithmus (m) antilogarithm

Antinomie (f) antinomyantiparallel (a) antiparallel

antireflexiv (a) antir ef lexive

Antisymmetrie (f) antisymmetryantisymmetris ch (a) antisymmetricAntithese (7) antithesis

anwachsen (vi) accrueanwenden (vt) apply

11

Anwendun g (f) applicationAnwinkel (mpl) pair of interior (ex-

terior) angles on same side of

transversal cutting two lines

An zahl ( f ) numberAnzahl begrif f (m) concept of numberanziehen (vt) attract

Anziehung (f) attraction, pull

An zi ehun gsges et z (n) law of attrac-

tion

Anziehungskraft ( f ) attractive force

ap eriodisch (a) aperiodicAphel (n) aphelionApogaum (n) apogeeapolar (a) apolarApol aritat ( f ) apolarity

aposteriorisch (a) a posteriori

Applikate (f) y-coordinate (in twodimensions), z-coordinate (in three

dimensions)Applikatenachse (f) y-axis (in two

dimensions), z-axis (in three di-

mens ions)

Approxim ation (f) approximation.grobe A . : crude or rough approxi-mation

Approxim ationsmethode (f) method of

approximationAppr ox im at ions theorie ( f ) theory of

approximationapproximativ (a) approximateapproximier en (vt) approximateapriorisch (a) a priori

Apsidal fl ache ( f ) apsidal surface

Apsiden (fpl) apsides

Apsidenlinie (f) line of apsidesApsis (f) apsis

Aqua tor (m) equatorAqua tor achs e (f) equatorial axis

Aqua torbreit e *(f) equatorial latitude

Aqua torea 1 (n) equatorialAqua toreb ene ( f ) plane of equatorAqua torhohe (f) equatorial altitude

Aqua torial (n) equatorialaquatorial (a) equatorialAqua torialboe en (m) equatorial arc-J5 "

jf3

Aquatorialflache (f) equatorial surface

Aquatorialsystem (n) equatorial systemaquianharmonisch (a) equianharmonicaquidis ta n t (a) equidistantAqui dis ta nz ( f ) equal distanceaquilong (a) equilong. aquilonge

Abbildung: equilong mappingaquinoktial (a) equinoctial

Aquinoktium (n) equinox_n— „Aquipotentialflache (f) equipoten-

tial surface

Aquivalent (n) equivalentaquivalent (a) equivalentAquivalenz (f) equivalenceAquivalenzbeweis (m) equivalence

proofAquivalenzbeziehung (f) equivalence

relation

Aquivalenzgesetz (n) equivalencelaw or principle

A quivalenzpr inzip (n) principle of

equi val enceAquivalenzrelation ( f ) equivalence

relation

Aquivalenzsatz (m) equivalencetheorem

Arbeit (f) workArbeitseinheit (f) unit of workArbeitsf ahigkeit (f) capacity for

doing work, energyarbi trar (a) arbitrary

arcus ( m ) arc ( = Arkus )

arcus cosecans (m) arc or inverse

cosecantarcus cosecans hyperbolicus (m) arc

or inverse hyperbolic cosecantarcus cosinus (m) arc or inverse

cosinearcus cosinus hyperbolicus (m) arc

or inverse hyperbolic cosine

arcus co tangens (m) arc or inverse

cotangentarcus cotangens hyperbolicus ( m)

arc or inverse hyperbolic co-

tangentarcus secans (m) arc or inverse se-

cantarcus secans hyperbolicus (m) arc

or inverse hyperbolic secant

arcus sinus (m) arc or inverse sine

arcus sinus hyperbolicus (m) arc or

inverse hyperbolic sine

arcus tangens (m) arc or inverse tan-

gent

arcus tangens hyperbolicus (m) arc

or inverse hyperbolic tangent

Argument (n) argument, amplitude,

polar angle; independent vari-

able or ar gum en t

Argumentbereich (m) argument do-

mainArgumentklasse (f) argument class

12

Ar gumen tmenge ( f ) argument set

Arithmetik (f) arithmeticArith metiker (m) arithmeticianarithmetisch (a) arithmeticAr kus (m) arc ( = arcus )

Ar kusfunktion (f) arc or inverse trigo-

nometric function, antitr igonomet

-

ric functionAr kuskosekans (m) arc or inverse cose-

cantAr kuskosinus (m) arc or inverse cosineAr kuskotangens (m) arc or inverse co-

tangentArkussekans (m) arc or inverse secantAr kussinus (m) arc or inverse sine

Arkustangens (m) arc or inverse tan-

gentArt (f) kind, species

artmassig (a) qualitativeassoziativ (a) associative

Assoziati vgesetz (n) associative lawAs t (m ) branch (of curve)Asteroid (m) asteroid, planetoidAs teroide ( f ), Astroide (f) astroid,

tetracuspid, four-cusped hypocyc-loid

As tronomie ( f ) astronomyAsymmetrie ( f ) asymmetry; skewnessasymmetrisch (a) asymmetricAsymptote (f) asymptoteAsy mpto tenebene (f) asymptotic planeAsymptotengleichung ( f ) equation for

asymptotesAsy mptot enkegel (m) asymptotic coneAs ymptot enlinie ( f ) asymptotic line or

curveAs ymptot enprodukt (n) product of

asymptotic factors

Asymptotenrichtung (f) asymptoticdirection

As ymptotenwinkel (m) angle betweentwo asymptotes

As ymptotik ( f ) asymptotic behaviorasy mptotisch (a) asymptoticAtom (n) atoma tom ar (a) atomicAtomba u (m) atomic structure

Atom gewi ch t (n) atomic weightAtomkern (m) atomic nucleusAtomnumme r (f) atomic numberAtom zahl ( f ) atomic numberAtomzerf all (m) atomic decay or dis-

integrationAtom zertriim merung (f) atom smashing

or splitting

Auf einanderf ol ge ( f ) successionaufeinanderfolgen (vi) follow one

after anothera ufeinanderfolgend (a) consecutiveaufeinanderl egen (vt) superimpose,

superposeAufeinanderl egun g (f) superpositiona uf f assen (vt) conceive; regard; viewAuffassung ( f ) conception; point of

view , standpoint.

dynamische A. der Metrik: met-rics from the standpoint of dyna-mics

Auf fassungsweise (f) = AuffassungAuf gabe (f) exercise, problemaufgehen (vi) leave no remainder,

divide without remainderaufheben (vr) cancel (out)

Aufhebung (f) cancellationaufklappen (vt) turn up

auf lo sbar (a) solvableAuf losbark eit (f) solvability

auf lo s en (vt) resolve, solve; reduce(a fraction), remove (parentheses),

untie (a knot)

Auflosung (f) solution; resolution (of

singularities), untying (of a knot)

A ufpunkt (m) test point

aufrechterhalten (vt), aufrechthalt en

(vt) maintain, preserveAufrechterhaltung (f), Auf rechthal -

tung (f) maintenance, preserva-tion

Auf riss (m) elevation, vertical pro-

jectionAufrissebene ( f ) vertical projection

planeaufrollen (vt, vr) roll up

aufrunden (vt) round off

Aufrundung (f) rounding off

aufschlitzen (vt) rip up, slit.

die langs der imaginaren Achseauf ges chlitz te k omplexe Ebene:

the complex plane slotted (or

slit) along the imaginary axis

aufspaltbar (a) decomposableaufspalten (vt) split up

Aufspaltung (f) splitting up

Aufspaltungsbil d (n) decompositiondiagram

Aufspaltungs faktor (m) factor of

splitting up

aufspannen (vt) spanaufs teigen (vi) ascendAufsteigung (f) ascension

13

aufsuchen (vt) seek out, search for

Aufsuchung ( f ) searchau ftr agen (vt) lay off, plot; transfer

Auf tragung (f) laying off, plottingau ftref fen (vi) fall or strike upon, im-

pingeAuftr ef fen (n) impact, impingementAuftreffgeschwindigkeit (f) speed of

impactAu ftr ef fpunkt (m) point of impactAuftr ef fwinkel (m) angle of impact

or incidenceaufw arts (adv) upwardaufzahl en (vt) enumerateAufz ahlung ( f ) enumerationaufze ichnen (vt) draw, sketch; recordAufzeichnung ( f ) drawing, sketch; plot

tin gAufzinsungsfaktor (m) coefficient of

the present worthAuge (n) eye; pip or spot (on a die)

Augenblic k (m) instant, momentaugenblicklich (a) instantaneousAugenpunkt (m), Augpunkt (m) point

of sight or vision; orthogonal pro-jection of point; principal point

ausar beit en (vt) work out, doausar ten (vi) degenerateAusartung (f) degenerationausbreiten (vt, vr) spread, propagateAusbreitung (f) spread; propagationAusbreitungs vektor (m) propagation

vectorA usbr eitungs weg (m) path of propaga-

tion

Ausbuchtung (f) bending outwards,bulge, convexity

ausdehnen (vt, vr) expand, extend,stretch, dilate

A u s d e.h n u n g (f) extension, dimension;(phys.) dilation, expansion

Ausdehnungsellipsoi d (n) ellipsoid of

expansionAusdehnungskoeffizient (m) coeffi-

cient of expansionAusdehnungslehre (f) theory of dimen-

sionality

Ausdehnungsverhaltnis (n) ratio of ex-pa nsion

Ausdehnungszahl (f) coefficient of ex-pansion

Ausdruck (m) expression

ausdriicken (vt) expressauseinanderlaufen (vi) diverge

Ause inanderlaufed (n) divergenceauseinanderlaufend (a) divergentausf egen (vt) sweep out

Ausfegever fahr en (n) method or process

of sweeping out (Poincare's ba-] ayage)

ausfiihrb ar (a) feasible

ausfiihr en (vt) execute, performAusfuhrung (f) execution, operationausjiillen (vt) fill

Ausfiillung (f) filling

Ausgangsfl ach e (f) initial surface

Ausgangshy per f la che (f) initial hy-

p ersur faceAusgangskurve (f) initial curveA us gang spunkt (m) starting point;

origin

Ausgangswahrscheinlichkeit (f ) a

priori probabilityausgear tet (a) degenerateausgehen (vi, vr) start or issue from

a point; be exact, leave no re-

mainderausgesc h lossen (a) excluded, impos-

sible

ausgez eichnet (a) distinguished, sin-

gular, canonical, principalausgleichen (vt) adjust, compensateAusgleichs kurve (f) fitting curveAusgleichung (f) adjustmentAus gleichungsr echnung (f) adjust-

ment of observationsausgliedern (vt) classify

Aus gliederung (f) classification

Ausklam mern (n) factoring out

ausklam mern (vt) factor out, removea factor

Aus mass (n) amount, rate

ausmessen (vt) measure, take the

dimensions of

ausmultipl iz ier en (vt) multiply out

Ausnahm ef al 1 (m) exceptional caseauspotenzier en (vt) expand by poly-

nomial theoremAuspotenzier en (n), Auspotenzierung

(f) expanding by polynomialth eorem

ausquadr ier en (vt) square out

Ausqu adrierung ( f ) squaring out

ausrechnen (vt) compute, evaluateAusrechnung ( f ) computation, eval-

uationausreduzieren (vt) reduce (a repre-

sentation)

14

Aussage ( f ) statement, sentence, asser-

tion

Aussagenformel (f) sentential formulaAussagenfunktion (f) propositional

functionAussagenk al kiil (m) propositional or

sentential calculusAussagenvariabe l (f) sen ten tial .variable

Aussagenverbindung ( f ) sententialcombination or connective

Aussagenverkniipfun g ( f ) = Aussagenver-bindung ( f

)

Aussagezeichen (n) sentential symbolausschal ten (vt) eliminateAusschaltung (f) eliminationAusschlag (m) amplitude, swing, de-

viation; deflection (of a magneticneedle)

a u s s

c

hlagen (vi) swing; deviateAusschl agkurve (f) amplitude curve

(of pendulum vibration)ausschl iessen (vt) excludeausschliessend (a) exclusiveausschliesslich (a) exclusiveAusschliessung ( f ), Ausschluss (m) ex-

clusion

Ausschlusslehr e (f) no-go gaugeausschneiden (vt) cut out

Ausschnitt (m) sector

Ausschopfungsmethode (f) method of

exhaustionaussen (adv) externally, outsideaussenden (vt) emitAuss enf lach e (f) outer or exterior sur-

faceAussenglied (n) extreme (term)Aussenr aum (m) exterior spaceAussenseite ( f ) outsideAussenwinkel (m) exterior angleausser (a) exterior, external, outer

Aussere (n) outsideausserh alb (adv, prep) outsideausserl ich (a) external, outwardausserlich (adv) outwardly, superfici-

ally

ausserordentlich (a) extraordinaryaussers t (a) outermost, extremeausserw esentlich (a) non-essentialAussonderungsaxiom (n) axiom of se-

parationausspringend (a) convexausstrahlen (vt, vi) radiateAusstrahlung (f) radiationAusstrahlungskurve (f) radiating curve

ausstreiche n (vt) cancel, deleteAusstreichung (f) cancellation, de-

letion

Aus tau sch (m) exchangeaustau schbar (a) permutable, ex-

changeableAustauschbar kei t ( f ) permutability,

exchangeabilityaust auschen (vt) exchange, replaceAustauschsatz (m) replacement theo-

rem, exchange theoremausfiben (vt) exert

Ausiibung (f) exertionAus wahl (f) choice, selectionAus wahl axiom (n) axiom of choiceAuswahlfunktion (f) function of

choiceAuswahlmenge (f) set of choiceausweiten (vt, vr) dilate, widenAusweitung (f) dilatation, wideningauswendig (a) outsideauswerten (vt) evaluateAuswertung ( f ) evaluationauszahlen (vt) count; (statist.) sort,

tabulateAusza hlung (f) count; (statist.) sort,'

tabulationausz eichnen (vt) trace; distinguish

Auszeichnung (f) tracing; distinc-

tion

ausziehen (vt) extract (a root)

Ausziehung (f) extraction (of a root)

automorph (a) automorphicAutomorphismenbedingung ( f ) auto-

morphism conditionAutomorphismengruppe (f) automor-

phism groupAutomorphismenring (m) automor-

phism ring

Automorphismus (m) automorphismAxe ( f ) axis

axial (a) axial

Axialsymmetrie (f) axial symmetryAxiom (n) axiomAxiomatik ( f ) axiomatic theory,

axiom atizationaxiomatisch (a) axiomaticaxiom atisier en (vt) axiomatizeAxiomatisierung (f) axicmatizationAxiomensystem (n) system of axiomsAxonometrie ( f ) axonometryaxonometr isch (a) axonometrieAzimut (m) azimuth, polar angleAzimutalebene ( f ) azimuthal plane

15

Azimutalprojektion (f) azimuthal pro

j ec tion

Azimutal winkel (m) azimuthal angleAzimut kreis (m) azimuth circle

az y klis ch (a) acyclic

B

Bahn ( f ) orbit, path, track

Bahnberechnung ( f ) orbital calculationsBahnbe wegung ( f ) orbital motionBahn kreis (m) path circle

Bahn kurve ( f ) orbital or path curve,

traj ectoryBahnlange (f) length of path

Bahnlinie ( f ) = BahnkurveBahnpunkt (m) point of the orbit or

pa th

Bahnrichtung ( f ) direction of the path

Bahntangente (f) tangent to the path

curve, orbital tangentBahn vorstellung (f) idea of orbit or

pathBalken (m) beam, bar

Balkendarstellung (f) bar graphBalkendiagr amm (n) bar graphBalkenwage ( f ) beam scale or balanceBallistik (f) ballistics

ballistisch (a) ballistic

Ba lm er ser ie ( f ) Balmer series

banal (a) banal, trivial

Band (n) band, strip

Banderdiagr amm (n) chart or graphcomposed of lines or bars

baryzentrisch (a) barycentricBasis ( f ) base, basis; radix or base

(of a power); radix (of a numericalsystem); simplex of reference (of

line complex); (statist.) initial po-

pulationbasisch (a) basal

Basis eb en e ( f ) base planeBasisdarstellung ( f ) basis representationBasis el em ent (n) basis elementBasisflache ( f ) base (surface)

Basis funktion (f) basis functionBasisgruppe ( f ) basis groupB-asis ka thete ( f ) base leg of a right

triangl e

Basislange (f) length of the base

Basispunkt (m) base point; radix point

(of scale of notation)

Basissatz (m) basis condition or

the or emBasissehne ( f ) base chord or line

Basis vektor (m) basis vectorBasis wert (m) base valueBasis winkel (m) base angleBasiszahl (f) basis numberB asisz eitr aum (m) base periodbeanspruchen (vt) stress

Beanspruchung (f) stress

bedeuten (vt) denote, mean, signifyBedeutung ( f ) meaning, significancebedeutungslos (a) insignificant;

meaninglessbedingt (a) conditionalBedingung ( f ) conditionBedingungs gleichung (f) condition

equationbefreien (vt) clear (of fractions,

parentheses)

Befreiung (f) clearing (of fractions,

parentheses)befriedigen (vt) satisfy

Befriedigung (f) satisfying , satisfac-tion

Befund (m) finding, result

begleiten (vt) accompany, move withbegleitend (a) accompanying, mov-

ing ( with).

begleitende Achsen, Kurve:moving (coordinate) axes, accom-panying or companion curve

Begleiter (m), Begleit erin (f) com-panion

Begleiterscheinung (f) concomitantphenomenon

Begleitmatrix (f) companion matrixbegrenzen (vt) bound; intercept,

limit

Begrenzung (f) boundary, delimita-tion

Begrenzungsflache (f) boundary sur-

faceBegrenzungskurve (f), Begrenzungs-

linie (f) boundary curve or liner

contour, peripheryBegrenzungspunkt (m) boundary point

Begriff (m) concept, idea, notionbegrif flich (a) conceptualBegriffsdef inition (f) definition of

conceptsBegriffssystem (n) system of con-

cepts

behandeln (vt) treat

Behandlung ( f ) treatmentbeharren (vi) persist in, continue

Beharrung (f) persistence, continu-

ance

16

Beharrungskraft (f) inertial force, in-*

ertia

Beharrungsvermogen (n) inertia

behaupten (vt) assert, state

Behauptung ( f ) assertion, statementbehebbar (a) removableBehebbarkeit (f) removabilitybeheben (vt) removeBehebung ( f ) removalbeide (a, pron.) both, the twobeiders eitig (a) on both sides; mutual,

reciprocalbeiders eits (adv) mutuallybeilkufig (a) approximatebeilegen (vt) assign

Beilegung (f) assignmentBeispiel (n.) exampleBeitrag (m) contribution; added or

extra termBeiwert (m) coefficientbejahen (vt) answer in the affirmative,

affirmBejahung (f) affirmationbelegen (vt) coverBelegung ( f ) covering, congruence (re-

lation)

Belegungsmenge ( f ) covering or con-gruent set

beliebig (a) arbitrary, anyBeliebigkeit (f) arbitrarinessbenachbart (a) adjacent, neighboringbenannt (a) denominate, concrete*benennen (vt) designate, denoteBenennung (f) desigantion, denomina-

tion

beob achten (vt) observeBeobachter (m) observerBeobachtung ( f ) observationBeobachtungsdauer (f) period of ob-

servationBeobachtungsfehle r (m) error of ob-

ser va tion

Beobachtungsmittel (m) observation aid

or tool

Beobachtungsort (m) observation pointBeobachtungsr aum (m) observation areaBeobachtungsr eihe ( f ) sequence or se-

ries of observationsBeobachtungszeit (f) period or time of

observationberanden (vt) form or make a border,

boundBerandung ( f ) boundaryberechenbar (a) calculable, computable

Berechenbarkeit (f) ca lculabili ty

,

computabilityberechnen (vt) calculate, compute;

(e ngin. ) analyzeBerechner (m) calculator, computerBerechnung (f) calculation, compu-

tation; (engin.) analysisBerechnungsaufgabe ( f ) computation

problemBerechnungsformel (f) computation

formulaBerechnungsgrosse (f) computation

itemBerechnungsm ethode ( f ) method of

computa tion

Berechnungsschema (n) computationdiagram

Berechnungstaf el ( f ) computationchart

Berechnungsverfahren (n) method of

computationBerechnungsweise ( f ) mode or method

of calculationBereich (m) domain, region; rangebereinigen (vt) adjust, correct; refine

Bereinigung (f) adjustment, correc-tion

berichtigen (vt) correctBerichtigung ( f ) correctionBernoulli (N) Bernoull ische Poly-

nome: Bernoulli's polynominalsberiihren (vt) touch, be tangent (to)

beriihrend (a) tangent (to)

Bervihrende (f) tangentBeruhrung (f) contact, tangencyBeriihrungsebene (f) tangent planeBeriihrungs flache ( f ) tangential sur-

face; area of contactBeruhrungskegel (m) tangent coneBeriihrungsknoten (m) point of self-

contact, tacnodeBerii hrungsknotenspitze (f) point of

osculinflection or oscu- inflection

Beriihrungslinie (f) tangent line

Beriihrungsmantellinie (f) tangent ele-

ment (of cone, cylinder)Beruhrungsproblem (n) contact or

tangency problemBeriihrungssehne (f) chord connecting

points of tangency, chord of con-tact

Beriihrungsstelle (f) point or place of

contactBeruhrungstransformation (f) contact

transformation

17

Beriihrungswinkel (m) angle of contactbes chl eunig en (vt, vr) accelerateBeschleunigung (f) accelerationBeschleunigungskomponente ( f) com-

ponent of accelerationBeschleunigungskraf t ( f ) acceleration

force

Beschleunigungsvektor (m) accelera-tion vector

Beschleunigungszentrum (n) center of

accelerationbeschrank en (vt) confine, restrict

beschrank t (a) bounded, limitedBesch r anktheit (f) boundednessBeschra nkung (f) restriction

beschreib en (vt) describe, trace; letter

Beschreibung (f) description; lettering

besei tigen (vt) eliminate, removeBeseitigung ( f ) elimination, removalBesetzungsz ahl (f) class frequencybesit z en (vt) possess

beson der (a) particular, special

Besonderheit (f) peculiarity, singularityBessel ( N) Besselsche Ungleichung:

Bessel's inequalityBestandesmasse (f) statistical universe

of period databestandig (a) constant, invariable, per-

manent, steadybestandig (adv) constantly, invariably,

permanently, steadilyBestandigkeit ( f ) constancy, perma-

nence, st ea diness

Bes tandsm asse ( f) = BestandesmasseBestandteil (m) component (part)

besta tigen (vt) confirm, verify

Bestatigung ( f ) confirmation, verifica-

tion

bestehen (vi) exist; consist of, consist

in

bestimm en (vt) determine, definebestimmt (a) definite, determinateBestimmtheit (f) definitenessBes timmtheits axiom (n) identity condi-

tion

Bestimm theitsm ass (n) coefficient of

determinationBestimmung ( f ) determination, defini-

tion

Bestimmungsdreieck (n) determiningtriangl e

Bestimmungsgleichung (f) conditionalequation

Bestimmungslini e (f) a determining or

provisional line

Bestimmungsrel ation (f) defining re-

lation

Bestimmungsstuck (n) one of the

data

Best wert (m) optimal valueBeta (n) Greek letter beta (B, 8)

Betafunktion ( f ) beta functionBetas trahl (m) beta ray

Be.trag (m) amount; absolute or nu-merical value; rate

bctragen (vt) amount to, total

Betr agsm aximum (n) numerical maxi-mum

beugen (vt) diffract

Beugung ( f ) diffraction

Beugungsbild (n), Beugungs f igur (f)

diffraction image or patternBeugungsgi tt

e

r (n) diffraction grating

Beugungsspektrum (n) diffraction

spectrumBeugungswinkel (m) diffraction angleBe volkeru ngsstatistik (f) demographybewegen (vt, vr) movebeweglich (a) mobile, moving, mov-

able

Beweglichkeit (f) mobility, mova-bility

Bewegung (f) motion, movementBewegungsablauf (m) path of motionBewegungs amplitude (f) amplitude of

motionBewegungsenergie (f) kinetic energyB e w egun gs ges et z (n) law of motionBew egungsgleichung ( f ) equation of

motionBew egungs gross e ( f ) linear momentum,

impulseBewegungslehre (f) kinematicsB ew egungs mass e (f) statistical uni-

verse of point data

Bew egun gsparameter (m) parameterof motion

Bewegungsph ase (f) phase of motionBewegungsrichtung (f) direction of

motion or movementBew egun gsvorgang (m) process or

phenomenon of motionB ew egun gs zustand (m) state of motionBew eis (m) proof, demonstration,

verification

bew eisbar (a) provableBeweisbark eit (f) provability

beweisen (vt) prove, demonstrate,

verify

Beweisfu hrung (f) proof, argument

18

Be weisgrund (m) argumentbeweistheoretisch (a) met am athem ati -

cal

Beweistheorie ( f ) met ama them atics

Be weis versu ch (m) attempted proofbewerten (vt) valueBewertung (f) valuationBewertungsrlng (m) valuation ring

bezeichnen (vt) denote, designatebezeichnet (a) sign givenBezeichnung (f) designation, notationBezeichnungss ys tern (n) system of

notationBezeichnungsweise ( f ) manner of de-

signation, notationbeziehen (vt) stretch over, span; de*

rive, draw; b. auf (vt, vr) refer

to, relate to

Bezug (m) referenceBezu gnummer ( f ) key numberBezugsdreieck (n) triangle of referenceBezugslinie ( f ) line of referenceBezugspun kt (m) reference pointBezugss ys tern (n) reference system,

frame of referencebiangular (a) biangularBiegefestigkeit (f) bending strengthbiegen ( vt, vr) bend, flex.

Biegeschwingung ( f ) flexural vibrationbiegs am (a) flexibleBiegs am keit (f) flexibility

Biegung ( f ) bend(ing), flexure; curva-ture

Biegungsbeanspruchung ( f ) bendingstress or strain

Biegungsf es tigkeit ( f ) bending strength

Biegungshalbmesser (m) bending radius;

radius of curvatureBiegungsinvariante (f) bending inva-

riant

bikompakt (a) bicompactbikomplex (a) bicomplexbikonka v (a) biconcavebikon vex (a) biconvexBild (n) image, picture, projection;

map, chart, graph; pictogram, pic-tograph

Bil dabs tand (m) image distanceBildansicnt (f) pictorial viewBildebene (f) plane of projection; per-

spective or picture planebilden (vt, vr) form, makeBil df eld (n) image field

Bildfeldwolbung ( f ) curvature of field

Bildgrosse ( f ) image size

Bildkurve (f) image curveBildkugel (f) spherical surface of

projection, spherical mapping-surface

bildmassig (a) pictorial

Bi ldmitte (f) image centerBildpunkt (m) image point

Bildraum (m) image space or regionBildsimplex (m) image simplexBildstatistik ( f ) pictorial statistics

Bildum kehrung ( f ) image reversionor inversion

Bildung (f) formationBildungs gesetz (n) rule or law of

formationBildungsmoglichkeit (f) formation

possibility

Bild verz errung ( f ) image distortion

Bildweite (f) image distancebilinear (a) bilinear

Bilinearform ( f ) bilinear formBillion (f) trillion (in America),

billion (in Britain)

binar (a) binarybino kul ar (a) binocularBinom (n) binomialBinomialformel (f) binomial formulaBinomialkoeffizient (m) binomial

coefficientBinomialreihe (f) binomial series

Binomialsatz (m) binomial theorembinomisch (a) binomial.

binomische Hyperbel: binomialhyperbol a

Binorm ale ( f ) binormalBinorm alenbild (n) binormal imageBinorm alenvektor (m) binormal vec-

tor

biorthogonal (a) biorthogonalBiosphar e (f) biospherebipolar (a) bipolar

Bipolaritat (f) bipolarity

biquadratisch (a) biquadraticbirnformig (a) pear-shaped, pyriformbizir kular (a) bicircular

Bizirkularitat (f) bicir cularity

Blatt (n) folium; leaf or sheet (of

Riemann surface)

Blattkurve ( f ) foliumbleiben (vi) remainBodenflache (f) bottom (surface)

Bogen (m) arc

Bogendif ferential (n) differential of.

arc

19

Bogenelement (n) element of arc

Bogenelement-Quadrat (n) square of

arc elementBogengrad (m) degree of arc

Bogenlange (f) arc lengthBogenlini e (f) curved line

Bogenmass (n) radian measureBogenm inute (f) minute of arc

Bogenschar (f) system or family of arcs

Bo gensehn e ( f ) chord of an arc

Bo gensekunde ( f ) second of arc

Bogenspektrum (n) arc or multilinespectrum

Bogenzirkel (m) bow compassBoreltransformation (f) Borel transfor-

mationB oreltransformierte (f) Borel transformbosch en (vt, vr) slope

Boschung ( f ) slope

Boschungs f 1 ache (f) helicoidal surfaceBoschungslinie ( f ) curve of constant

slope, helix

Boschungswinkel (m) angle of slope

Bra chis tochrone ( f ) brachistochroneBrachyachse (f) brachyaxisbrachy diagonal (a) br achy diagonalBrachydiagonale ( f ) brachydiagonal

axis

Brachydoma (n) brachydomeBrachypinakoid (n) br achypinacoidBrachyprisma (n) brachyprismBrachypyr amide ( f ) brachypyramidbrechbar (a) breakable; (opt.) refrac-

tible

Brechbarkeit (f) r efr actibility

br auchb ar (a) serviceablebrechen (vt, vr) break; (opt.) refract

Brechung (f) refractionBrechungsbrennflache (f) diacaustic

surface

Br echungs exponent (m) coefficient or

index of refractionBrechungsgesetz (n) law of refractionBrechungsindex (m) coefficient or in-

dex of refractionBrechungsstrahl (m) refracted ray

Brechungs winkel (m) angle of refrac-

tion

Brechungszahl ( f ) index or coefficientof refra ct ion

Brechzahl (f) = Brechungszahlbreit (a) broad, wideBreite (f) breadth, width; (geog.) lati-

tude

Breitengrad (m) degree of latitude

Breitenkreis (m) circle or parallel

of 1 atitu de

Breitenquantenzahl ( f ) transverse

quantum numberBrennebene (f) focal planeBrennflache (f) caustic surface,

focal surface (of congruence)Brennhyperflache ( f ) focal hyper-

surf ac e

Brennlinie (f) caustic curve; focal

curve (of surface), focal line

(of quadric con e)

Brennpunkt (m) focus, focal point

Brennpunktabstand (m) focal dis-

tance or length, focal radius

Brennpunktebene (f) focal planeBrennpunktsb edingung ( f ) focus con-

dition

Brennpunktskonchoide ( f ) focal con-choid

brennpun ktslos (a) focusless, non-focal

Brennstrahl (m) focal radius

Brennweite ( f ) focal distance or

lengthBriggs (N) Briggsche Logarithmen:

Briggs* or common logarithms

bringen (vt) bring, reduceBrown ( N) Brownsche Bewegung:

Brownian motion or movementBruch (m) fraction

Bruchexponent (m) fractional ex-

ponentBruchgleichung (f) fractional equa-

tion

Bruchteil (m) fractional part, frac-

tion

Buchstabengleichung (f) literal equa

tion

Buchstabengrosse ( f ) literal numberBuchstabenrechnung ( f ) algebraic

calculus, algebra

Bundel (n) bundle, sheaf, star

Bundelachse (f) axis of a bundle (of

rays)

Bundelbegrenzung (f) boundary of

a beam of light or of a bundle of

rays

Biindeldi vergenz (f) divergence of

light beamBiindelebene ( f ) one of a sheaf of

planesBiindelgrenze (f) = Bundelbegrenzung

20

BJindelkurve (f) one of a bundle or

sheaf of curvesBu' nd els tr ahl (m) one of a bundle of

rays or lines

Bu'sch el (n) pencil (of lines, curves,

etc.), one- parameter family;cluster (of crystals)

Bu sch el form (f) one- par am eter geo-metric form, equation of a one-parameter family

Buschel kur ve (f) member of a one-parameter family of curves

Biischelmittelpunkt (m) center or ver

tex of pencil or sheafBiisch el -Sch a r (f) = Buschel (n)

Bfisch elstrah 1 (m) one of a pencil of

rays or lines

cosecans hyperbolic us (m) hyper-bolic cosecant (of angle x:

cosech x, csch x)

cosingul ar (a) cosingularcosinus (m) BKosinuscosinus hyperbolicus (m) hyperbolic

cosine (of angle x: coshx, chx)cosinus versus (m) = Kosinus versuscotangens (m) = Kotangentecotangens hyperbolicus (m) hyper-

bolic cotangent (of angle x:

coth x . ctnh x)

Cuspidal ebene (f) cuspidal planeCus pidal kur ve (f) cuspidal curveCuspidalpunkt (m) cuspidal pointCuspidal torse (f) cuspidal torse or

developableCyklometrie ( f ) cyclometrycy klometrisch (a) = zy klom etrisch

Cardano , Cardanus (N) Cardan.Cardanische Formel: Cardan's for-

mula (for cubic)

Cardinalz ahl (f) cardinal numberCartesisch (a) CartesianCartesius (N) DescartesCassini ( N ) Cassinische Linien :

ovals of Cassini

Cassinisch (a) CassinianCassinoide (f) oval of Cassini

Celsiusthermometer (n) centigradethermometer

Char akter (m) characterCharakterenrelation (f) character re-

lation

charakterisierbar (a) char acteriz able

Char akterisierbarkeit ( f ) characteriz-

ability

ch ar a kter isier e n (vt) characterizeChar a kterisierung (f) characterization

Charakteristik ( f ) characteristic

Charakteristikum (n) characteristic,

trait; (statist.) parametercharakteristisch (a) characteristic

Chi (n) Greek letter chi (X, x)Codenummer ( f ) code numberconcyclisch (a) concyclicconis ch (a) conical

Coriolisbescheunigung (f)Coriolis

ac celer ation

Coriolisgesch w indigkeit (f) Coriolis

velocityCor iolisglie d (n) Coriolis termCorioliskra ft (f) Coriolis forcecosecans (m) = Kosekante ( f

)

Ddampfen (vt) damp (vibrations)

dars tellbar (a) representablePars tell barkeit ( f ) r epresen tabilit y

darstellen (vt) represent; draw,

graphd a r s t e 1 1 e n d - (a) descriptive

Darstellung (f) representation; graph,

proj ection, viewDarstellungsmodul (m) representa-

tion moduleDarstellungs theor ie ( f ) representa-

tion theory

Paten (npl) data; calendar dates

Patum (n) datum, given fact; calen-dar date

Dauer ( f ) duration; period (of vi-

bration)

dec ken (vt, vr) cover, coincidePec ktransform ation ( f) congruent

transform ation

Peckung ( f ) superposition, congru-ence

Peckungstr anslation (f) congruentor vector translation

Peduktion ( f ) deductiondedukti v (a) deductivededuzierbar (a) deducibled eduzieren (vt) deducePefekt (m) defect; deficiency (of

curve, surface)

definierbar (a) definable

definieren (vt) define

definit (a) definite

21

Definitheit (f) definiteness

Definition (f) definition

Definitionsbereich (m) domain of de-

finition

Definitionsformel (f) defining formulaDefinitionsgebiet (n) domain of defi-

nition

definitionsgem ass (a) by definition

Definitionsgleichung ( f ) defining equa-tion

Definitionsmenge (f) defining set

defizient (a) deficient, defectiveDeform ation (f) deformation, strain

Deformationsachse (f) axis of strain

Deformationsellipsoid (n) strain ellip-

soid

Deformationstensor (m) deformation or

strain t ensor

deformierbar (a) deformableDeformierbarkeit (f) defor mabilitydefor mier en (vt) deform, strain

Deformierung ( f ) deformation, strain

Degeneration (f) degenerationdegenerier en (vi) degeneratedeg eneriert (a) degeneratedehnbar (a) tensile, ductileDehnbarkeit ( f ) tensility, ductibility

dehn en (vt, vr) stretch, expandDehnung (f) stretching, expansion,

lengtheningDehnungskoefficient (m) coefficient of

elongation or expansionDehnungs verhaltnis (n) ratio of expan-

sion

Dehnzahl ( f ) coefficient or modulusof expans ion

De ka ( n) decagramDeka de ( f ) decadeDekadens ystem (n) decadic or decimal

or denary systemdekadisch (a) decadic, decimal, denaryDekaeder (m) decahedronDekagon (n) decagonDekagramm (n) decagramDeka liter (n) decaliterDekameter (n) decameterDeklina tion ( f ) declinationDeklinationsachse (f) axis of decli-

nationDeklinationskreis (m) declination

cir cl

e

Dekrem ent (n) decrementdelis ch (a) DelianDelta (n) Greek letter delta (A, 6)

Deltafunktion (f) delta functionDel toeder (n) deltohedrondeltoedr isch (a) deltohedralDeltoid (n) deltoid

Deltoiddodekaeder (n) deltoid dode-c ahedron

Deltoidikositetraeder ( n) deltoid icesite tr ahedron

demonstrieren (vt) demonstrateDepressionswinkel (m) angle of de-

pression

Per ivier te (f) derivative, derivedfunction

deskriptiv (a) descriptiveDeterminante (f) determinantDeterminantenbil dung ( f ) determi-

nant formationDeterminantendarstellung (f) deter-

minant representationDeterminantenform ( f ) determinant

formDeterminantenminor ( f ) minor of a

determinantDeterminan tenprodukt (n) product

of determinantsDe.terminantenrelation (f) determi-

nan t( al) relation

Determinantensatz (m) theorem in

determ inants

Determinante n teiler (m) determinan-tal divisor or determinant factor

(of matrix)Determinantentheorie ( f ) theory of

determin ants

determinierend (a) determinating,determining

deuten (vt) interpret

Deu teroprism a (n) deuteroprismDeuterop yr amide ( f ) d euteropyr amidD e u t u n g ( f ) interpretationdeveloppabel (a) developableDeveloppable ( f ) developable (sur-

face)

Deviation (f) deviationDeviationsmoment (n) deviation

momentDeviations winkel (m) angle of de-

viationDezibel (n) decibelDezigramm (n) decigramDezil (n) decileDeziliter (n) deciliter

dezimal (a) decimalDezimalbruch (m) decimal (fraction)

22

Dezimale ( f ) decimal, decimal placeDezimalform (f) decimal formDezimallogarithmus (m) Briggs' or

common logarithmDezimalpunkt (m) decimal pointDezimalr echnung (f) decimal reckoningDezimalschreibweise ( f ) decimal no-

tation

Dezimalstelle ( f ) decimal placeDezimals ystem (n) decimal or decadic

or denary systemDezimalzahl (f) decimalDezimeter (n) decimeterdiagonal (a) diagonalPi agonale (f) diagonalPi agonal element (n) leading element

(of a determinant)Piagonalmatrix (f) diagonal matrixPi agonalschnitt (m) diagonal sectionPiagram m (n) diagram, graphdiagr amm atisch (a) diagrammaticPiagrammkarte (f) statistical chart

or m ap

Piagrammkurve (f), Piagrammlinie ( f

)

diagram curvePiakaustik (f) diacausticPi am eter (m) diameterdiam etral (a) diametralPiametralebene (f) diametral planediametralentgegengesetzt (a) diamet-

rically opposed or oppositePiametralpunkt (m) diametrically

opposite pointPichte ( f ) density

Pichteanderung (f) density change or

variationPichteber eich (m) density distribution

Pichtefunktion (f) density function

Pichtekomponente ( f ) density compo-nent

Pichteschwankung ( f ) density variation

Pichteverteilung (f) density distribu-

tion

Pich theit ( f ) densenessPichtigkeit ( f ) density (= Pichte )

Pichtigkeitsm ass (n) measure of den-sity

dick (a) thick

Picke (f) thickness

Pieder (n) dihedral, dihedronPiff erential (n) differential

Pifferentialausdruc k (m) differential

expressionPifferential eigensch aft (f) differential

property

Pifferentialform (f) differential formPifferentialgeometrie ( f ) differen-

tial geometryPifferentialgleichung ( f ) differen-

tial equationPifferentialinvariante (f) differen-

tial invariant, reciprocantPifferentialoperator (m) differen-

tial operatorPiff erentialpar ameter (m) differen-

tial parameter or operatorPifferentialquotient (m) differen-

tial quotient or coefficientPiff erentialrechnung (f) differen-

tial calculusPiff erentiation ( f ) differentiation.

P. nach einem Parameter:differentiation with respect to

a para m eter

Pifferentiationsmethode ( f ) methodof differentiation

Piff erentiationsordnung ( f ) order of

differentiation

Pifferentiationsprozes s (f) process

of differentiationPiff erentiator (m) differentiator,

differential operator or parame-ter

diff erentiierbar (a) diff erentiable

Piff er en z (f) differencePifferenzenfolge ( f ) sequence of

differences, difference sequencePifferenzenfunktio n (f) function of

differencesPiff er enzengleichung ( f ) difference

equ ation

Pifferenzenmethode (f) differencemethod

Piff erenzenprodu kt (n) product of

differencesPifferenzenquotient (m) difference

quotient

Piff er enzenr echnung (f) calculus of

differences

Pifferenzenreihe ( f ) series of diffe-

rences, difference series

Pifferenzenschema (n) array of dif-

ferences

Piff erenzgruppe (f) differencegroup

diff er enzierbar (a) dif ferentiab le

Pifferenzierbarkeit ( f ) differenti-

ability

Pifferenzierbarkeitsannahme ( f ) dif-

ferentiability hypothesis

23

Differenzierbarkeitsbedingun g (f) con-dition of differentiability

dif f erenzier en (vt, vi) differentiate

Differenzierung ( f ) differentiation

Differenzmethode ( f ) method of dif-

ference; variate- difference methodDiff erenzstell e (f) difference placeDifferenzwirkung (f) difference in

action or effect

dif fundieren (vt, vi) diffuse

Diffusion (f) diffusion

dif fusions fahig (a) diffusible

Diffusionsgeschwindigkeit (f) rate of

diffusion

Diffusionskoeffizient ( f ) coefficient of

diffusion

Diffusions vermogen (n) diffusibility

digital (a) digital

Digitalrechenmaschine ( f ) digital

computing machinedihex aedrisch (a) dihexahedraldih ex agonal (a) dihexagonalDimension (f) dimensionDimension a lit at ( f ) dimensionalityDimensio nsbetrachtung ( f ) considera-

tion of dimensionalityDimensionsformel (f) dimensional

formuladimensionsfrei (a) dimensionless, non-

dimensionalDimensionslehre ( f ) theory of dimen-

sionality

dim ensio nslos (a) = dimensionsfrei

Dimensionstheorie ( f ) = Dimensions-lehre

Dimensionsz ahl (f) dimension number,dimension, dimensionality

dimetrisch (a) dimetricdimorph (a) dimorphic, dimorphousDimorphismus (m) dimorphismDini -Lipschitz be dingung (f ) Dini-

Lipschitz conditiondiophantisch (a) diophantineDiploeder (n) diplohedron, diploid

Dipol (m) dipole, doublet.

der schwingende D. :the oscillating

or vibrating dipole

Dipolachs e (f) dipole axis

dipol ar (a) dipolar

Dipolfeld (n) dipole field

Dipolmoment (n) dipole momentDipolpotential (n) dipole potential

dir ekt (a) direct

Direktrix (f) directrix

disjunkt (a) disjoint

Disjunktion (f) disjunction

Disjunktionsglied (n) partial disjunc-tion

disjunktiv (a) disjunctivediskontinuierlich (a) discontinuousDiskontinuum (n) discontinuumDiskrepanz (f) discrepancydiskr et (a) discrete

Diskretheit ( f ) discreteness

Diskriminante ( f ) discriminantDiskriminantenbeziehung (f) dis-

criminant relation

Diskriminantengleichung ( f ) dis-

criminant equation or relation

Diskriminantenort (m) discriminantlocus

Pis kussion ( f ) discussion

dis ku tieren (vt) discuss

Dispersion ( f ) dispersion; (statist.)

also variationDispersionskurve (f ) dispersion curveDispersionstheorie (f) theory of dis-

persion or variationDispersionsverhaltnis (n), Dispersions-

vermogen (n) dispersive powerDistanz (f) distanceDist anzkr eis ( f ) distance circle

distributi v (a) distributive

Distributivgesetz (n) distributive

lawDistribu tivitat (f) distribu tivity

ditetragonal (a) ditetragonalditrigonal (a) ditrigonal

divergent (a) divergentDivergenz (f) divergenceDivergenzbildung ( f ) divergence

formationdivergenzfrei (a) free of divergenceDivergenzfreiheit (f) freedom from

divergenceDivergenzkoeffizient (m) coefficient

of divergenceDivergenzr adius (m) radius of diver-

genceDivergenzvektor (m) divergence veC'

tor

divergieren (vi) divergedivergierend (a) diverging, diver-

gentDividend (m) dividenddividier en (vt, vi) divideDivision (f) division

Divisionsalgebra ( f ) division algebra

24

Divisionsalgorithmus (m) division algo-

rithmdivisionshomolog (a) homologous with

division admittedDivisionshomologie (f) homology admit-

ting division

divisionsnullhomolog (a) homologous to

zero with division admittedDivisionsnullhomologie (f) homology

to zero admitting divisionDivisions zeichen (n) division sign

Pi visor (m) divisor

Dodeka eder (n) dodecahedronDodekagon (n) dodecagonDoma (n) domeDoppelabstandskurve ( f ) double dis-

tance curvedoppelbrechend (a) doubly refractingDoppelbrechung ( f ) double refractionDoppelbruch (m) complex or compound

fraction

Dopp el eb ene ( f ) double plane, biplaneDoppelerzeugende ( f ) double generatorDoppel folge (f) double sequenceDoppelgerade ( f ) double line

Doppelindex (m) a pair of indices or

subscripts or superscripts

Dopp elintegral (n) double integralDoppelinflexionstangente (f) double in-

flectional tangentDoppel kante (f) double edge (of cone)Doppel kegel (m) double coneDoppel kurve ( f ) double curveDoppelmodul (m) double moduledopp elperiodisch (a) doubly periodicDoppelpunkt (m) double point (of a

curve, an involution), crunode (of

curve)doppelpunktfr ei (a) without double

points

Doppelpunktsbedingung ( f ) conditionfor double point

Doppelpunktstangente (f) tangent at

double point (of curve)Doppelpunkts wendepu nkt (m) flecnodeDopp elreihe (f) double series

Doppelschicht ( f ) double layer

Doppelschnabel (m) flecnodeDopp elsprung (m) double jumpDoppeltangenslinie ( f ) double tangent

curveDoppel tangente ( f ) double tangent,

bitangentDoppeltangentenebene ( f ) double tan-

gent plane

Doppeltangentkurve ( f ) , Doppeltan^gentenlinie (f) double tangentcurve

Doppelschnittsverhaltnis (n) cross

ratio

doppelt (a) doubledoppeltbrechend (a) doubly refrac-

ting

doppeltlogarithmisch (a) bilogarith-mic, log-log (scale)

doppeltorthosymmetrisch (a) doublyorthos ymmetric

doppeltperiodisch (a) doubly periodicdoppeltunendlich (a) doubly infiniteDoppel verhaltnis (n) cross ratio

Doppelwendepunkt (m) flecnodedoppelwerti g (a) double- valued, two-

valued, bivalentDoppel winkel (m) double angleDoppelwinkelsatz (m) double-angle

formulaDoppelwuirzel ( f ) double root

Drall (m) Chasles' parameter of dis-

tribution; (mech.) torque, momentof a force; angular or rotationalmomentum

Drallwinkel (m) angle of twist; angleof the spiral or of the screw

Drehellipsoid (n) ellipsoid of revo-lution, spheroid

drehen (vt, vr) turn; rotate, revolveDrehflache (f) surface of revolutionDrehgruppe ( f ) rotation groupDrehimpuls (m) angular momentum,

moment of momentumDrehkorper (m) body of revolution;

solid of revolutionDrehkristallmethode (f) rotating-crys -

tal methodDrehmoment (n) moment of force,

torqueDrehschwingung ( f ) rotational oscil-

lation

Drehsinn (m) direction of revolutionor rotation

Drehsymmetrie (f) rotational sym-metry

Drehung ( f ) turn; rotation, revolu-tion, beschrankte D: boundedrotation; totale D: total rota-

tion

Drehungsachs e (f) axis of revolutionor rotation

Drehungsanteil (m) rotational con-tribution

25

Drehungsellipsoid (n) ellipsoid of re-

volutionDr ehun gsf aktor (m) rotation(al) fac-

tor

drehungsfrei (a) irrotational

Drehungsgeschwindigkeit ( f ) rotatio-

nal speed or velocityDr ehungsgrupp e (f) rotation groupDr ehungssinn (m) direction of rotation

or revolutionDr ehun gs winkel (m) ^angle of rotation

Dr eh vektor (m) angular velocity vec-tor

Dreh waage (f) torsion balanceDr eh wink el (m) angle of rotation

Dr ehzahl ( f ) number of revolutions or

rotations

drei three

Dr ei ( f ) figure three

dreiachsig (a) triaxial

dreiachsig- symmetrisch (a) triaxially

symmetricDr eibein (n) trihedral

Dr eiblatt (n) trifoliumdreidimensional (a) three-dimensionalDreidimensionalitat (f) tr idim ensional -

ity

Dr eieck (n) triangle, trigon

dreieckig (a) triangular

Dr eieck igk eit ( f ) triangularity

Dr eiecksflache (f) triangular surface

or area

Dr eiecksinhalt (m) area of triangle

Dreieckskonfiguration ( f ) triangular

configurationDreieckskoordinaten ( f pi ) triangular or

trilinear coordinatesDr eieckskurve ( f ) triangular curveDr eiecksm essung ( f ) trigonometryDreiecksnet z (n) triangulation networkDreieckstern (m) triangular star

Dr eiecksungleichung ( f ) triangular or

triangle inequalityDreieckszahl (f) triangular numberDreieckzerlegung ( f ) triangulation

Dreier (m) figure three

Dreierv ektor (m) three-vectordreif ach (a) threefold, triple

dreigliedrig (a) thr ee - t erme d, trino-

mial, triadic

Dreiheit (f) triad

dreihundert three hundredDreiindizessymbol (n) three-index

symbol, Christoffel symbol

Dreikant (n) trihedral angle, trihed-

ral

Dreikorperproblem (n) three-bodyproblem

dreim al three times, thrice

Dreimalachtflachner (m) trisocta-

hedrondreimalig (a) three-time, thrice re-

peateddreipunktig (a) three-pointDreipunktperspektive (f) three-point

perspectiveDreis atz (m) rule of three

Dreiseit (n) trilateral

dreis eitig (a) three-sided, triangu-

lar, trilateral

Dreispitz (m) tricuspid

dreispitzig (a) thr ee - cusped, tri-

cuspidDreispitzzirkel (m) triangular com-

pass

dreissig thirty

dreissigs t thirtieth

dreistellig (a) three-place, three-

digit

Dreitafelprojektion ( f ) three-planeproj ection

dreiteilen (vt) trisect

dr eiteilig (a) tripartite

Dreiteilung (f) trisection

Dreiteilungspunkt (m) one-thirdpoint, thir d- point

dreiwertig (a) three-valuedDreiwertigkeit ( f ) three- valuednessDreizahl (f) triad

dreizahlig (a) threefold, triple

dreizehn thirteen

dreizehnt thirteenth

Dreizeigersymbol (n) Christoffel or

three-index symbolDrillachse ( f ) torsional axis

Drilling (m) trilling,, triple t

Drillschwingung (f) torsional vib-

ration

Drillung ( f ) torsion, twist

Drillungsmodul (m) rigidity or tor-

sion modulusdritt third

Dritteil (n) third part, third

Drittel (n) third part, third

Drittelspunkt (m) one-third point,

third-point

drittens (adv) thirdly

dritthalb (a) two and a half

26

Druck (m) pressured r ii c k e n (vt) press

Druckkraft (f) compressive, forceDrudenfuss (m) pentagramdual (a) dual, reciprocal.

dual e_ A b b i 1 d u n g : dual mapping;d u a 1 e Z a h 1

:

dual or alternate num-ber

Dual bruch (m) reciprocal fractionDual fol ge (f) dual sequenceDualismus (m) dualismdualistisch (a) dualistic

Dualitat (f) duality

Dualita tsprinzip (n) principle of duality

Du alsy stem (n) dual system; binary or

dyadic systemDualteil (m) dual part (o f Clifford' s

alternate numbers)duodezim al (a) duodecimalDuodezimalsystem (n) duodecimal sys-

temdurchbohren (vt) pierce, cut.

die Kurve d urchbohrt die Ebene:the curve pierces the plane

durchdi vidi eren (vt) divide throughdurchdrin gen (vt, vr) penetrate; inter-

sect

Durchdrin gung (f) penetration, inter-

section

Durchdringungslinie (f) line or curveof intersection

durchl auf en (vt) run or travel through,

tr a vers e

Durchlauf (m) passage (through)

Durchlaufung (f) traversing

Durchlau fungssinn (m) direction of

traversal, traveling direction

durchlochern (vt) perforate, punctureDurchm esser (m) diameterDurchm es serebene ( f ) diametral planedurchnumer ier en (vt) number consec-

utivelydurchschneiden (vt, vr) intersect, cut

Durchschnitt (m) average; product of

the first kind, meet, or intersec-

tion (in set theory)

durchschnittlic h (a) averageDurchschnittsbildung ( f ) formation of

intersection set

Du rchschnittsgesch windigke it (f) average

speed or velocityDurchschnittsklass e (f) intersection of

class es

Durchschnittsmenge (f) average quan-tity; intersection set (in set theory)

Durchschnlttspunkt (m) point of in-

tersection

Durchschnittsrechnun g (f) calculationof average

Durchschnlttswert (m) average valueDurchschnittszah l (f) average num-

b er

durchsetze n (vt) pierce, cut, inter-

sect

Durchstichpunk t (m) piercing point

durchstoss en (vt) - dur chsetze n

Durchstos skreis (m) circle of inter-

section

Durchstosspunkt (m) piercing pointdur chwejf (adv) throughout.

Flachen m it durchweg neg ativer

Krummung: surfaces with negativecurvature throughout (i. e.,

e very where)Dutzend (n) dozenDy ad e ( f ) dyadDyadik (f) dyadicdyadisch (a) dyadicDyakisdodekaeder (n) dyakisdodeca-

hedronDyn (n), Dyne ( f ) dyneDynamik (f) dynamicsdynamisch (a) dynamic

E

eben (a) plane; level

E b ene ( f ) planeEbenenbii n del (n) bundle or sheaf

of planesEbenenbii sche l (n) pencil of planes,

axial pencil

Ebene nnetz (n) network of planes

Ebenenpaar (n) pair of planes

Ebenenstiic k (n) portion of planeebenflachig (a) plane, having plane

faces

Ebenmass (n) bilateral symmetry,due or proper proportion

echt (a) properechtgebrochen (a) proper fractional

Eckbedingung (f) corner condition

Ecke (f) vertex, corner

Eckenanzahl (f) number of vertices

Eckenkurve (f) locus-curve of corner

points

Eckensinus (m) sine of solid angle

Eckenzahl (f) number of vertices

eckig (a) angularEcknetz (n) network of vertices

27

Eckpunkt (m) vertex, coiner; corner or

salient point (of c nrvc)lickpn nk i hcri'.ic li (in) vertex domain; set

o I vertices ( o I geometric complex)lickpu nk tgeriisj (n) fmmework of vertices,

vertex frameBcktrans versalc (f) transversal through

(lie vertex

Efeulinle (f) cissoid

Bffekt (in) (phys.) action, powereff ckti v (a) effective; actual, real.

eflektive Konstruktlon: actual con-struction

e iclie n (vt) calibrate, gauge, standard 1 /. e

Elchinvarianz ( f ) g aug e invarianc

e

Eich koustante (f) calibration constantE i c h k u r

v

e (f) indicatrix; (phys.) cali-

brat ion en i v

e

Eich mass (n) standard (measure)Eich ung ( f ) calibration, gauging, stan-

dardizationE i d r c h f 1 a c h

c

(f) ovaloid of revolutionEl fl ache ( f ) ovaloidEigenfeld (n) self- consistent field

Bigcnf unktion (f) eige n function, charac-teristic function

1- i v;, en per lode (I) natural period (ot vi-

bration)i: i ge ns eh a ft (t) property, characteristic1- I r. e u seh .men ( m ) sli adeEigenschattengrenze ( f ) shade line

Elgenschwingung (f) characteristic v i-

brai ion)

Elgcnschwingungsdaue r (f) natural periodof vi h rati o n

Eigcnschwingungszahl (f) characteristicf r e q u e n c y

eigentlich ( a ) properElgen vektor (m) eigenvector, charac-

teristic vectorEigenwert (m) eigenvalue, intrinsic

v .i 1 n e

1 i i'. e n w e r t p i o Mem ( n ) e i g e n v a 1 u e p r o b 1 e mEigcnzeit (f) proper timeEigenzustand ( m ) eigenstate, charac-

teristic state

E i k o n a 1 ( n ) e i c o n a 1

Bikonalgle ichung (f) eiconal equation.

die E. gehorcht dem Fermatschen Ge*setz der kurzeste u Ankunft: the

eiconal equation obeys Fermat's lawof least time

I'ikorper (m) convex bod v. solid ova-

"ToTd

Elllnie ( f ) oval

e i n a c h s 1g

(a) monaxial, uniaxialelnartig (a) of one kind or species;

single-primed (ideal)

elnbegreifen (vt) include, involveelnbett en (vt) embed, imbedEinbettun g (f) embedding, imbeddingEl nbettungssatz (m) embedding theo-

remElnblatt (n) simple folium, unifoliumElnhuchtung (f) indentationEi nbuchtungswink el (m) reentering or

reentrant angleeindeutig (a) unique, univocal, one-

valued, single -valued, una m big u

-

on s

Eindcutlgkeit ( f) uniquenessi- i nde utig ke itssatz (m) uniqueness theo-

re in

el nchnen (vt) level, planeEinebnung ( f) planationE i n e c k (n) figure of one angleein eindeutig (a) one-to-one, one-one,

biuniquee i n e i n h a 1 b one and a half

ein en gen (vt) narrow, restrict

Eincngung (f) narrowing, restriction

Einer (m) one-digit figure, unit

Eincrkolonne (f) units columnEinerstelle (f) units placeE i n e r z i f f c r (f) units digit

e i n f a c h ( a ) simpleEin fa ch he it (f) simplicityEinfachheitsgrad (m) degree of sim-

plicity

Ein fa ch sprung ( in ) single jumpe i n f a c h - z u s a m inenhang end (a) simply

connectedE i n f a 1

1

(m) incidence (of rays)

e i n f a 1 1 e n (vi) fall in, be incidentc i n f a 1 1 e n

d

(a) incidentEin fa 11 sa zimu t ( m ) azimuth of inci-

denceE i n f a 1 1 s e b e n

e

(f) plane of incidenceEinfallsgruppe (f) statistical class

with medianE i n f a 1 1 s 1 o t ( n ) perpendicular or axis

of incidenceE i n f a 1 1 s s t r a h 1 ( m ) incident ray

Einfallswinkel (m) angle of incidenceeinfl achi g ( a ) one-sidedEinflachigkei t ( f ) one-sidednessein form ig (a) one-dimensionaleinfuhren (vt) introduce, insert; estab-

lish

;s

Einf iihrung ( f ) introduction, insertion;

establ ish men t

Eingehiillte (f) enveloped curve, en-

veloped surfaceeingeschlosse n (a) includedein ges chrank t (a) restricted

eingeschrieben (a) inscribedeingip felig (a) (statist.) unimodaleingliedrig (a) single-term, monomial;

one-place, einglledrige Gruppe :

one-parameter groupEinh eit (f) unit, unityEinh eltenw echsel (m) change of units

Einh eits deter minante ( f ) unit determi-nant

Einh ei ts ebene (f) unit planeEinh eits element (n) unit or unity ele-

ment; identity (of a group)Elnheits form ( f ) primitive formEinhei ts gerade ( f) unit line

Einh eits ideal ( n) unit ideal

Einh eits korper (m) unit (body)Einhei ts kreis (m) unit circle

Einh ei ts kugel (f) unit sphereEinh eits linie (f) unit line

Einheitsmasse (f) unit massEinhei tsmatrix ( f ) unit or identity mat-

rix

Einheitsoperator (m) unity operatorEinheitspunkt (m) unit point

Einh ei tsradius (m) unit radius

Einheitsstrecke ( f ) unit of distanceEinheitssubstitution (f) substitution

unity, identical substitution

Einheitstangentenvektor (m) unit tan-

gent vectorEinh ei ts vektor (m) unit vectorEinhei ts wurz el ( f ) root of unityeinhiil len (vt) envelopEinhiillende (f) envelopeeinhundert one hundredeinklammern (vt) put in parenthesesEinklammerung (f) bracketing; terms in

parentheses or bracketsEinkorperproblem (n) one- body problemEinkreiselanordnung (f) monogyro sys-

temEinkristall (m) single crystal, mono-

crystal

Elnlinienspektrum (n) single-line spec-trum

einmal onceeinmalig (a) onceeinmantelig (a) of one sheet, unparted

ein mehrdeutig (a) one -to-manyEinparameterschar (f) one-parame-

ter familyEinparametersystem (n) one-parameter

s y stemelnparametrig (a) one-parametereinpassen (vt) fit in, adjustEinpassung ( f ) fitting

Einpunktperspektive (f) one-pointperspective

einrechnen (vt) take into accountEinr echnung (f) taking into account,

inclusionelns oneElns (f) number one, unity; figure

oneEins atz (m) insertion, setting in

Einsatzzirkel (m) pair of compasseseins ch al ig (a) of one sheet or nappe,

unpartedeinschal ten (vt) insert, interpolateEinschaltung ( f ) insertion, interpo-

lation

einscharig (a) singly ruledeinschl iessen (vt) enclose, includeeinschliesslich (a) includingeinschniiren (vt) constrict

Einschniirung ( f ) constrictioneinschr anken (vt) restrict

Einschrankung (f) limitation, restric-

tion

einschr eiben (vt) inscribe

eins ei tig (a) one-sided, unilateral

Eins eitigkeit (f) one-s idednessEins el em en t (n) identity or unity

elementEinser (m) figure oneeinsetzen (vt) substitute; set in (com-

passes or dividers)

Einsetzung ( f ) substitution

Eins et zungsregel (f) rule of substi-

tu tion

Einsgruppe ( f ) identity group, unit

or unity groupEinsiedl er (m) = Einsiedl erpunkt (m)Einsiedl erpun kt (m) isolated or con-

jugate point, acnodeEinsklasse ( f ) unit class

einspringend (a) reentrant, reflex

einstellig (a) one-digit, one-place,monadic

Eins tellwerk (n) keyboard (of com-puting machine)

einstufig (a) simple

29

Einsundeins (n) addition table

Eintafelprojection (f) one-plane pro-

j ectioneintausend one thousandeinteilen (vt) divide; arrange, classify;

calibrateeinteilig (a) unipartiteEinteilung ( f ) division; arrangement,

classification; calibrationEinteilungsprinzip (n) classification

principleeintreten (vi) enter; occureintypig (a) of the same typeeinundeinhalb one and a halfeinundz w anz ig twenty-oneeinundz wanzigst twenty-firsteinw ertig (a) one-valued, single-valued.,

unival ent

Einw ertigk ei t (f) one- valuedness, single-valuedness, univalence

EJjr3_ah_l (f) singulareinz eichnen (vt) sketch, plot, fill in

Einz eichnung (f) sketching, plotting,

filling in

Einz el amplitude (f) single or indivi-dual amplitude

Einz el fall (m) individual caseeinz eln (a) single

Einzelschwingung ( f ) individual vibra-tion

Einzelstiick (n) single itemEinz el vektor (m) single vectorEinzigkeitsbeweis (m) uniqueness proof

or theoremEinzigkeitsprinzip (n) uniqueness prin-

cipleEinz igkeitssatz (m) uniqueness theoremeirund (a) ovalEkliptik ( f ) eclipticelastisch (a), elastic

Elastizitat ( f ) elasticity

Elastizitatsflache (f) Fresnel's surfaceof elasticity

Elastizitatsgrenze (f) elastic limit or

strength

Elastizitatskoeffizient (m) coefficientor modulus of elasticity

Elastizitatskonstante (f) elastic con-stant or modulus

Elas tizit atsmodul (m) modulus of elas-

ticity

elektr isch (a) electric(al)

Elektrizitat (f) electricity

elektromagnetisch (a) electromagnetic

Elektrom agnetismus (m) electromag-n etism

Elektromechanik (f) el ectr om echa

-

nics

Elektromet er (n) electrometerelektromotorisch (a) electromotiveElektron (n) electronElektron endr all (m) electron spin

Elektr onenlehre ( f ) electronicsElektronenschale ( f ) electron shell

Elektron enspin (m) electron spin

Elektronentheorie (f) theory of elec-trons

Elektron en volt (n) electron volt

Elektronenwelle (f) electron waveElektronik ( f ) electronics

Elektrostatik ( f ) electrostatics

elektr os tatis ch (a) electrostatic

Elem ent (n) elementelem entar (a) elementaryElem entargeometrie (f) elementary

geometryelem ent argeom etrisch (a) elementary

geometric, by elementary geom-etry

Elementargesetz (n) elementary or

fundamental lawElementarintegral (n) elementary

integral

Element arkegel (m) elementary coneElem ent ar kor respondenz ( f ) element-

ary correspondenceElementarpartikel (f) elementary

p article

Element arp endel (n) elementarypendulum

Elementarprozess (m) elementaryprocess

Elementarquantum (n) elementaryquantu m

Elementarsymmetrie ( f ) elementarysymmetry

element arsymm etris ch (a) element-ary-symmetric

Elementarteilchen (n) elementaryparticle

Elementarteiler (m) elementarydivisor

Ele mentarwurf el (m) unit cubeElem ent arz elle ( f ) unit cell

Elementenausgleichung (f) adjust-

ment of elements or quantities

Elementenpaar (n) pair of elementsElementenprodukt (n) product of

elem ents

30

Elementensystem (n) system of ele-

mentsElementgruppe ( f ) group of elementsElevation (f) elevationEleyationswinkel (m) angle of eleva-

tion

elf elevenElferprobe (f) casting out elevensElferrest (m) excess of elevenselft eleventhElftel ( n) one-eleventhEliminante (f) eliminantElimination ( f ) eliminationEliminationsalgorithmus (m) elimina-

( f ) determi-

method of eli-

tion algorithmEliminationsdeterminante

nant of eliminationEliminationsmethode (f)

minationEliminations problem (n) elimination

problemEliminationsresultat (n) result of eli-

minationEliminations theorie ( f ) elimination

theoryeliminieren (vt) eliminateEliminierung ( f ) eliminationElle (f) cubit, ell

Ellipse (f) ellipse

Ell ips enbah n (f) elliptical orbit

Ellipsenflache ( f ) area of ellipse

Ellipsengestalt ( f ) shape of the ellipse

Ellipsengleichung (f) equation of an

ellipse

Ellipsenmittelpunkt (m) center of the

ellipse

Ell ips enquadrant (m) quadrant of an el-

lipse

Ellips ensegm ent (n) segment of ellipse

Ellipsenzirkel (m) elliptic compass,ellipsograph, trammel

Ellipsenzone ( f ) zone of an ellipse

Ellipsograph (m) ellipsograph

Ellipsoid (n) ellipsoid

Ellipsoidenflache ( f ) surface of ellip-

soid

ellipsoidformig (a) ellipsoidal

ellipsoidisch (a) ellipsoidal

Ellipsoidober flache ( f ) surface of ellip

soid

elliptisch (a) elliptical

Elliptizitat ( f ) ellipticity

Elongation ( f ) elongation, lengtheningEmission (f) emission

Emissionstheorie (f) emission theory(of light)

emittieren (vt) emitempfinden (vt, vi) perceive, senseEmpfindlichkeit (f) sensitivity

Empfindlichkeitsachse (f) sensitive

axis ( of a gyro)

Empfindlichkeitsgrad (m) degree of

sensitivity

Empf indlichkeitsgrenze ( f) limit of

sensitivity

Empfindlichkeitskurve (f) sensitivity

curveEmpfindlichkeitsmaximum (n) maxi-

mum sensitivity

Empfindlichkeitsmesser (m) sensitom-e te r

Empfindlichkeitsschwankung ( f ) fluc-

tuation of sensitivity

Empfindlichkeitsverteilung (f) dis-

tribution of sensitivity

Empfindlichkeitszahl (f) sensitivity

factor

Empfindung (f) perception, sensation

Empirie (fj empiricism, experienceempirisch (a) empiricalempirisch-statistisch (a) nonsto-

chastic

Empirismus (m) empiricismEndbahn ( f ) final path

Ende (n) end, extremityEndergebnis (n) end or final result

Endfaktor (m) end factor

Endflache (f) terminal face, pina-

coid face, pinacoidEndgeschwindigkeit ( f ) final veloc-

ity

Endgleichung (f) final equationEndglied (n) end or final term;

final link (of chain)

endgultig (a) definite, definitive,

conclusive, final

Endgiiltigkeit (f) conclusiveness,

finality

Endlage ( f ) end or final position

endlich (a) final, terminatingendlich-additiv (a) finite- additive

Endliche, Endliches (n) finite, fini-

tudeEndlichkeit (f) finiteness

endlichviele finite number (of things)

endlos (a) endless

Endlosigkeit ( f ) endlessness

Endomorphismenring (m) endomor-phism ring

31

Endomorphismus (m) endomorphismEndoscillation (f) final oscillation

Endprisma (n) base prismEndpunkt (m) end point

Endresul tat (n) final result

Endrichtung (f) terminal direction

Endstellung (f) end or final position

Endwahrscheinlichkeit (f) final prob-ability

Endwert (m) final value; accumulatedvalue (of annuity)

Endzustand (m) final state

Energie (f) energy; powerEnergiedichte (f) energy density

Energieeinheit (f) unit of energyEnergieell ipsoid (n) energy ellipsoid

Energiegleichung ( f ) energy equationEnergieimpulstensor (m) energy mo-

mentum tensor

Energieinhalt (m) energy contentEnergieniveau (n) energy level, quan-

tum state

Energi eprinzip (n) energy principle

Energiequantum (n) quantum of energyEnergiesatz (m) energy theoremEnergiespannungstensor (m) energy stress

tensor

Energies tromung (f) energy flow or flux

Energies tufe ( f ) energy level

Energietensor (m) energy tensor

Energietragheit (f) inertia of energyEnergie iibertragung ( f ) transfer or trans-

mission of energyEnergieumwandlung (f)- transformation

of eneryeng, enge (a) narrow, restricted; close

Enge (f) narrownessentarten (vi) degenerateentartet (a) degenerateEntartung (f) degenerationentbehrlich (a) dispensableEntbehrlichkeit (f) dispensability

entdecken (vt) discoverEntdeckung (f) discoveryentf ernen (vt) remove, eliminateentf ernt (a) distant, remoteEntfernung (f) distance, removal,

elimin ation

Entfernungsabhangigkeit ( f ) distance

dependency or relationship

Entf ernungskreis (m) geodesic distancecircle

entge ge ngesetz t (a) opposed, opposite,

inverse

Entgegensetzung (f) oppositionEnthalpie (f) thermal function,

enthalpyenthalten (vt) contain, involveEntropie ( f ) entropyentscheidbar (a) decidableEntscheidbarkeit (f) decidabilityentscheiden (vt) decideEntscheidung (f) decisionEntscheidungsproblem (n) decision

problementsprechen (vi) correspond, be cor-

related

entsprechend (a) corresponding,homologous, correlated

Entsprechen (n) correlation, corres-

pondenceEntsprechung ( f ) correspondence,

correlation

Entsprechungszahl (f) statistical

ratio

Entsprechungsziff er (f) coefficient

of correlationentstehen (vi) arise, be generated

or producedEntstehung (f) origin, beginningentwerfen (vt) design, draw, sketch,

trace

Entwerfung ( f ) designing, drawing,sketching, tracing

Entwerfungsebene ( f ) drawing or

projection planeentwickeln (vt) develop, expandentwickelt (a) explicit

Entwicklung (f) development, ex-

pansionEntwicklungssatz (m) expansion theo'

remEntwurf (m) drawing, sketch, plan

Entwurfslehre (f) drafting

Enveloppe ( f ) envelopeEnveloppensatz (m) envelope theo-

remEpheulinie ( f ) cissoid

Epitrochoide ( f ) epitrochoidEpizykel (m) epicycleEpizykloide (f) epicycloidEpsilon (n) Greek letter epsilon

(E, €)

Erdachse (f) polar axis of the earth

Erdaquator (m) earth's equator

Erdbahn ( f ) earth's orbit

Erdbahnhalbmesser (m) radius of

earth's orbit

32

Erdball (m) terrestrial globeErddrehung (f) earth's rotation

Erddurchmess er (m) earth's diameterErde ( f ) earth

Erdenj ahr (n) terrestrial yearErdf erne ( f ) apogeeErdglobus (m) terrestrial globeErdhalbmesser (m) earth's radius

Erdj ahr (n) terrestrial yearErdkarte ( f ) map of the world, terrest-

rial m ap

Erdkar tenpro jektion ( f ) map projectionErdkugel (f) terrestrial sphere or globeerdma gnetisch "(a) geomagneticErdmagnetismus (m) terrestrial mag-

netism, geomagnetismErdmeridian (m) terrestrial meridianErdmessung ( f ) geodesyE rdmittelpunkt (m) center of the earth

Erdn ahe (f) perigeeErdpol (m) earth's poleErdumdr ehung (f) earth's rotation

Erdumfang (m) circumference of the

earth

Erduml auf (m) revolution of the earth

(round the sun)

Ereignis ( n) eventEreignismasse (f) statistical universe of

cumul ative data

Erfahrung (f) experienceErfahrungs wissenschaft (f) empirical

knowledge or scienceErfolg (m) success

erfiillbar (a) satisfiable

Erf vi llbarkeit (f) satisfiability

erftlllen (vt) fulfill, satisfy; fill up

Erfiillung (f) fullfilling, satisfying

Erg (n) erg

erganzen (vt) complete, supplement;(recip.) e. sich; supplement eachother

Erganzung ( f ) completionErganzungsbogen (m) complementary

arc

Erganzungslemma (n) supplementallemma

Erganzungsreihe (f) complemental series

Erganzungsvektor (n) complementaryvector

Erganzungswinkel (m) complement (to

a right angle), supplement (to a

straight angle), explement (to a

round angle)ergeben (vt, vr) yield, produce; result

Erg e b n i

s

(n) result, yield

Ergodenhypothese (f) ergodic hypoth-esis

Ergodentheorie (f) ergodic theoryergod isch (a) ergodic

erhaben (a) convexErhabenhelt (f) convexityerhalten (vt) get, obtain; preserve

Erhaltung (f) getting, obtaining;preservation (of angle, length);

conservation (of energy, matter,momentum)

Erhaltungssatz (m) law of preservation; theorem of preservation or

equivalence (in topology); law of

conservation (of energy, matter,etc.

)

erheben (vt) raise

Erhebung (f) elevation; (alg.) in-

volutionErhebungs win kel (m) angle of ele-

vation

erlaubt (a) permissibleerleichtern (vt) facilitate

ermitteln (vt) ascertain, determineErmittlung ( f ) determinationerrechnen (vt) compute, determineErrechnung (f) computation, deter-

minationerrichten (vt) erect, put up

Errichtung (f) erectionErsatz (m) replacement, substitution;

substitute, equivalentErscheinung (f) phenomenonErscheinungsform (f) outward or

physical appearanceersetzbar (a) interchangeable, re-

placeableersetz en (vt) replace, substitute

Ersetzung (f) replacement, substitu-

tion

Ersetzungsaxiom (n) axiom of sub"stitution

erst (a) first

erst (adv) firstly.

erst recht ; all the more, a for-

tiori

erstens (adv) first, in the first place,

to begin witherwarten (vt) expectErwartung (f) expectation, expect-

ance, expectancyErwartungsw ert (m) expectance, ex-

pectancy, expectation, probablevalue

33

erw eitern (vt, vr) expand, extendErweiteru,ng (f) extensionErweiterungskorpe r (m) extension field

erzeugen (vt) generateErzeugende (f) generator, generatrix,

generating line, element, ruling

Erzeugendenschar (f) regulus

Erzeugung ( f ) generation, productionerzi el en (vt) net (as profit)

erz wungen (a) forcedEta (n) Greek letter eta (H, 17)

euklidisch (a) EuclideanEuler (N) Eulerscher Mul tipl ika tor:

Euler's multiplier, integrating fac-

tor; Eul ersche Z ahl : Euler number,secant number; Eulersches Integral:

Eulerian integral

e ventu el 1 (a) possible

E v idenz ( f ) evidenceE v i denzs tu f

e

( f ) evidence level

E volute (f) evoluteE volutenfl ache (f) evolute surface,

surface of centers, center surface,

c en tro -surface

e volutorisch (a) trend

E volvente (f) evolvent, involuteewig (a) eternal, perpetualexa kt (a) exactExa ktheit (f) exactnessExempel (n) exampleexemplifizieren (vt) exemplifyExhaustion ( f ) exhaustionExhaustionsmethode (f) method of ex-

haustionExis tenz ( f ) existenceExis tenzbereich (m) existence domainExistenzbewei's (m) existence proof

Exis tenz theorem (n) existence theoremexis ti er en (vi) exist

explizit (a) explicit

explizite (adv) explicitly

Exponent (m) exponent, indexExponentenbewertung (f) exponential

valuationExponentenkette (f) exponential chainExponentialfunktion (f) exponential

fu nc tion

Exponentialgleichung (f) exponentialequation

Exponentialgrosse (f) exponential(quantity)

Exponentialkurve ( f ) exponential curveExponentialreihe ( f ) exponential series

exponentiell (a) exponential

Extensionalitat (f) extensionalityExtensionalitatsaxiom (n) axiom of

extensionalityExtensita t ( f ) extensityextensi v (a) extensiveExtinktion ( f ) extinctionExtinktionskoeffizient (m) extinction

coefficientExtinktionsspe k trum (n) extinction

spectrumExtrapol ation ( f ) extrapolationextr apolleren (vt) extrapolateExtr apolierung ( f ) extrapolationextrem (a) extremeExtrem (n) extreme, extremumExtr emale ( f ) extremal, geodesicExtremalenbogen (m) extremal arcExtrem a lenbiischel (n) one-param-

eter family, or pencil, of ex-trem als

Extrema lenfeld (n) field of extre-mals Extensionalitatsaxiom

Extrem alenintegral (n) extremalintegral

Extrema lenschar (f) family of ex-tremals

Extremalflache ( f ) extremal surfaceExtr em alfr age ( f ) extremal problemExtremal funktion (f) extremal func-

tion

Extremalkurve (f) extremal curveExtr emalpolynom (n) extremal poly-

nomialExtremalproblem (n) extremal prob-

lemExtremfall (m) extreme caseExtrempunkt (m) critical or turning

point, apse (of curve)Extremwert (m) extreme valueexz entrisch (a) eccentricExz entrizi tat (f) eccentricity.

numerische E.: eccentricity of

a conic; lineare E.: distancefrom center to focus of conic

Exzess (m) excessexzess iv (a) excessive

Facette (f) facet or face (of crystal)

Faden (m) string, thread

Fadenevolute (f) thread or string

evoluteFadenevol vente (f) string involute

or evolvent

34

Fadenkonstruktion ( f ) thread construc-

tion (for ellipse, ellipsoid, lines of

curvature)Fadenkreuz (n) cross hairs

Fadennetz (n) reticule

Fahrplan (m) time-table.graphischer F.: graphical time-table,displacement graph

Fahrstrahl (m) radius vector, focal ra-

dius

Faktor (m) factor

Faktor enanalyse (f) factorial analysis

F aktor ensystem (n) factor set

Faktorenumkehrprobe ( f ) factor reversal

test

Faktor enzerl egung ( f ) factoring, factori-

zationF aktor gruppe ( f ) factor or quotient groupFaktorielle (f) factorial

Faktoriellenreihe ( f ) factorial series

Faktorzerlegung (f) factoring, factori-

zationFakultat ( f ) factorial

Fall (m) fall, drop; case

Fallbahn (f) path of fall

Fallbeschleunigung (f) acceleration of

fall

F allbewegung ( f ) motion of falling bodiesfall en (vi) fall, drop; descendfallen (vt) dropFallgeschwindigkeit (f) velocity of fall

Fallgesetz ( n) law of falling bodiesFallhohe (f) height of drop or fall

Fall-linie (f) slope line

Fallparabel (f) trajectory parabola,approximate ballistic curve

Fallung (f) droppingFallunterscheidung (f) distinction be-

tween cases

Fall winkel (m) angle of fall

Fallzeit ( f ) time of fall

fals ch (a) false, incorrect, wrongFalschheit ( f ) falsehood, incorrectnessfalten (vt) fold.

gefaltete Funktion: folded or con-voluted function

Faltung (f) convolution, faltung, fold,

folding. F. zweier Funktionen:convolution or faltung of two func-tions

F arad (n) farad

fass en (vt) holdFassungskraft (f), Fassungsvermogen (n)

holding or cubic capacity

fast (a) almost, nearly

f ast-periodisch (a) almost periodicFeder ( f ) springFederwage (f) spring balanceFederzirkel (m) spring dividers, bow

springs

Fehler (m) error, deviation.mittlerer F. : root-mean-squaredeviation, standard deviation

Fehlerabschatzung (f) estimate of

error

Fehlerausgleichung ( f ) adjustmentof errors

Fehlerbestimmung (f) determinationof error

Fehler dreiec k (n) triangle of error

Fehler ellipse ( f ) ellipse of error

fehl erfrei (a) error-free, faultless,

flaw less , correctFehlergesetz ( n) law of errors

Fehlergleichung (f) observationalequ ation

Fehlerglied (ny error termFehlergr enze ( f ) limit of error

fehl erha ft (a) erroneous, incorrect,

faulty, defectiveFehler kurve (f) error curveFeh lerquadra t (n) square of error

Fehlerquadratsumme (f) sum of the

squares of the errors

Fehlerquelle ( f ) source of error

Fehlerrechnung ( f ) theory of error

Fehlerspielraum (m) margin of error,

tol eranceFehlertheorie (f) theory of error

F ehler verteilung (f) distribution of

errors

Fehlerzahl ( f ) number of errors

Fehlschluss (m) wrong conclusion,

fallacy

fein (a) fine

Feinmessung (f) precision measure-ment

Feinstruktur (f) fine structure, microstructure

Feld (n) field

Feldableitung (f) field derivative

Felddichte ( f ) field density

Feldenergie (f) field energyFelderregung ( f ) field excitation

felderzeugend (a) field- producingFeldex tr emale (f) field extremalfeld-frei (a) field-free, zero field

Feldfunktion ( f ) field function

35

Feldgesetz (n) field law or principle

Feldgleichung (f) field equationFeldgrosse ( f ) field quantity

Feldintegral (n) field integral

Feldintensitat (f) field intensity or

strength

Feldkomponente (f) field componentFeldlinie (f) field line or curve;

(phys.) field line (in any vector

field), line of flow (in velocity field),

line of force (in field of force)

F eldlini enbild (n) image of field lines

Feldlinienrohre (f) tube of flux

Feldm agnet (m) field magnetFeldm ass (n) land measureF eldm esser (m) surveyorFeldmessung ( f ) surveyingFeldrichtung ( f ) field direction

F eldstarke (f) = FeldintensitatFeldtheorie (f) field theory

Feld vektor (m) field vectorFeld verha ltnis (n) field ratio

Feld verl auf (m) field courseFeld verzerrung ( f ) field distortion

Feldzust and (m) field state

fern (a) distant, remoteFeme ( f ) remoteness, (long) distanceF ernkr aft (f) long-range force

Fernpunkt (m) distant point

Fernrohr (n) telescopeFern vergleich (m) long-distance com-

parisonFernwirkung (f) long-range action

F ernzone (f) remote or distant zonefest (a) fixed, constant; firm, strong;

solid

F estheit (f) solidity, solid state;

strength, firmness; fixed position

Festigkeit ( f ) solidity; strength

festlegen (vt) fix, determine, specifyFestlegung ( f ) specificationFestpunkt (m) fixed point

f estsetzen (vt) stipulate, fix

Festsetzung (f) stipulation

feststell en (vt) establish, fix

Festellung ( f ) establishment, determi-nation

Festwert (m) fixed value, constant

Figur (f) figure, diagram, graphFigurenachse (f) axis of a figure

figuriert (a) figurate (number)Fingerbreite ( f ) finger's breadthFingerregel (f) hand rule

Fingerzeig (m) indication

Finsternis (f) darkness; (astr.)

eclipse

fix (a) fixed

fixieren (vt) fix

Fixpunkt (m) fixed point

Fixpunktformel (f) fixed-point for-

mulaFixpunktsatz (m) fixed-point theo-

remFixstern (m) fixed star

flach (a) flat, planeFlache (f) surface, surface area;

face (of polyhedron, polyhedralangle)

Flachenabschnitt (m) surface seg-

mentFlachenanzahl (f) number of faces

(of polyhedron)Flachenaufnahme ( f ) areal survey

(in geodes y)

Flachenausdehnung (f) surface ex-

pansion or extension; squaredim ensions

Flachenbelegung (f) surface layer

Flachenberechnung (f) computationof area

Flachenbiischel (n) pencil of sur-

faces

Flachendeformation (f) surface de-

formationFlachendiagonale ( f ) plane diago-

nal

Flachendruck (m) surface pressure

Flacheneinheit ( f ) square unit

Flachenelement (n) element of area,

surface elementFlachengeschlecht (n) genus of a

surfaceFlachengeschwindigkeit (f) areal

velocityFlachengesetz (n) law of areas

Flachengitter"

(n) plane or two-di-mensional lattice

flachengleich (a) equal (in area)

Flachengleichung (f) surface equa-tion

flachenhaft (a) two-dimensionalFlacheninhalt (m) area, surface

area

Flachenintegral (n) surface integral

Flacheninvariante (f) surface invari-

ant

Flachenklasse (f) class of surfaces

Flachenkomplex (m) two-dimensionalcomplex

36

Flachenkongruenz (f) surface congruenceFlachenkrummung ( f ) surface curvatureFlachenkur ve (f) curve on surfaceFlachenlot (n) perpendicular to a surface

Flachenmass (n) square or surfacemeasure

Flachennetz (n) network of surfacesFlachenpunkt (m) point on surfaceFlachenraum (m) area

Flachenrichtung (f) surface directionFlachens atz (m) law of areas

Flachenschar ( f ) family of surfaces

Flachenschwerpunkt (m) center of gra-

vity of a surfaceFlachens egment (n) = Flachenstiick

Flachens tr eifen (m) surface strip

Flachens tu ck (n) surface segment,area under the curve

Flachensystem (n) system of surfaces

Flachenteil (m) portion of a surface

F

l

a chentheorie (f) theory of surfaces

Flachentragheitsmoment (n) areal or

geometric moment of inertia

flachentreu (a) area-preserving, equi-

areal

Flachentreue (f) preservation of area

Flachenvektor (m) surface vector

Flachenvergleichung (f) area compari-son

Flachenwinkel (m) dihedral angle

Flachenzahl (f) number of faces (of

polyhedron)Flachheit (f) flatness

Flachpunkt (m) point 6f undulation

Flachpunktspar abel ( f ) parabola havingpoint of undulation, undulatory

p arabolaFlachtangente (f) tangent at point of

undulation, undulatory tangentF 1 a s c h e (f) bottle; (mech.) pulley

Flaschenzug (m) block and tackle, pul-

ley set

Flatter (m) directional oscillation,

flutter

Flattergrenze (f) critical flutter

Flexion (f) flection, bendingfl iegen (vi) fly

Fliehkraft ( f ) centrifugal force

fl iessen (vi) flow

Fluchtlinie (f) vanishing line

Fluchtlinientafel ( f ) alignment chart,

nomogramFluchtpunkt (m) vanishing point

Flug (m) flight

Flugbahn (f) trajectory

Flugelgruppe (f) statistical end class

Fluidum (n) fluid

Fluktuation (f) fluctuationfluktuieren (vi) fluctuateFluss (m) flow, flux

Flussigkeit (f) fluid, liquid;

fluidity

Flttssigkeitsbewegung (f) motion of

fluids

Flussigkeitsdichte (f) fluid densityFlussigkeitsdruck (m) fluid pressureFliissigkeitsdynamik (f) fluid dy-

namicsFlu'ssigkeitskugel ( f ) fluid sphereFliissigkeitsmass (n) liquid measureFlussigkeitsmechanik (f) mechanics

of fluids, hydromechanicsFliissigkeitss tatik ( f ) statics of

fluids, hydrostaticsFliissigkeitsstromung (f) flow of a

fluid

Flu'ssigkeitszustand (m) fluid state

Fluxion (f) fluxion, differential

quotient (with respect to time)

Fluxionsrechnung (f) Newton'smethod of fluxions

fokal (a) focal

Fokaldistanz (f) focal distance or

length

Fokalebene (f) focal planeFokalellipse (f) focal ellipse (of

quadric)Fokalflache (f) focal or caustic

surfaceFokalhyperbel (f) focal hyperbola

(of quadric)Fokalkegel (m) focal coneFokalkegelschnitt (m) focal conic;

umbilicar conic (of surface).

die Nabelpunkte liegen auf demF.

:

the umbilics lie on the um-bilicar (focal) conic

Fokallinie ( f ) = BrennlinieFokalparabel ( f ) focal parabola (of

paraboloid)Fokus (m) focus

fokussieren (vt) focus, focalize

Fo kussierung ( f ) focusing

Fokusweite (f) focal distance or

lengthFolge ( f ) sequence, series; conse-

quencefolgen (vi) follow

folgend (a) following, next, subse-

quent

37

folgern (vt) deduce, infer

Folgerung (f) conclusion, deduction;

coroll ar y

Folges atz (m) corollary

Folium (n) foliumfordern (vt) demand, require; postulateForderung (f) requirement; postulateForm (f) form, shapeformal (a) formalformalis ieren (vt) formalizeForm a lisierung ( f ) formalizationForm alismus (m) formalism; symbolismForm anderung (f) change of formF orm el (f) formulaForm elappara t (m) formula apparatus

Formelpaar (n) pair of formulasForm elreihe (f) group or series of for-

mulasFormelsammlung (f) collection of for-

mulasForm elspra che (f) language of symbols

or formulasform en (vt), formier en (vt) formFormensystem (n) system of formsFormierung (f) formationformlos (a) shapeless, amorphousformulieren (vt) formulateFormulierun g (f) formulationForm ver anderung (f) change of form,

deforma tion

fortlaufend (a) continued, continuousfortpf lanzen (vt, vr) propagate trans-

mitFortpf lanzung (f) propagation, trans-

missionFortpflanzungsgeschwindigkeit ( f ) veloc

ity of propagation or transmission

fortschreit en (vi) proceedFortschr eiten (n) precession (of equi-

n ox es)

fortschreitend (a) progressive, trans-

la tory

Fortschr eitungsrichtung (f) direction of

translation, progressive direction

Fortschr eitungssinn (m) translatory

sense

fortsetzen (vt) continue, extendFortsetzung (f) continuation, extension

Fourierintegr al (n) Fourier integral

Fourier koeffizient (m) Fourier coeffi-

cient

Fourierreih e (f) Fourier series

Fou riersumm e (f) Fourier sumFouriertransformation ( f ) Fourier

transformation

Fouriertransfor mierte ( f ) Fouriertransform

fr ei (a) free; clear; vacantFreihandzeichnen (n) freehand draw-

ing

Freiheitsgrad (m) degree of freedomfr emd (a) extraneous, disjoint

Frequenz (f) frequencyFrequenzabstand (m) frequency

spacingFrequenz abweichung (f) frequency

deviation or drift

Frequenzanderung (f) frequency vari-ation

Frequenzbereich (m) frequency rangeFrequenzintervall (n) frequency in-

terval

Frequenzkurve (f) frequency curveFrequenznormal (n) frequency stan-

dard

Frequenzschwankung (f) frequencyfluctuation

Frequ enzskal a (f) frequency scaleFrequenzspektrum (n) frequency

spectrumFrequenzspru ng (m) frequency jumpfrontal (a) frontal

Frontalansicht (f) front viewFrontaleben e ( f ) frontal planeFrontalflache (f) frontal surfaceFruhlingsaquinoktium (n) vernal

equinoxFruhlingspunkt (m) vernal point

Fruhlingstagundnachtgleiche ( f

)

vernal equinoxfuhren (vt) guide, leadFuhrung ( f ) guiding, leadingFuhrungsfeld (n) guiding field;

gravitational field

fundamental (a) fundamentalFundamentaldreieck (n) fundamen-

tal triangle; harmonical triangle

Fundamental folge (f) fundamentalsequence

Fundamental gleichung (f) fundamen-tal equation

Fundamentalprinzip (n) fundamentalprinciple

Fundamentalpunkt (m) fundamentalpoint

Fundamentalreihe (f) fundamentalsequence

Fundamentalsatz (m) fundamentaltheorem or law

38

Fundamentalschleife (f) fundamentalloop

Fundament altetraeder (n) fundamentaltetrahedron; harmonical tetrahedron

Fundierungsaxlom (n) restrictive

axiomfiinf five

Fiinf (f) number five, figure five

Funfeck (n) pentagon, pentanglefii nf eckig (f) pentagonalFiinfeckszahl ( f ) pentagonal numberFiinfer (m) figure five

funf fach (a) fivefold, quintuplefiinf fl achig (a) pentahedralfiinfhunder t five hundredfiinf mal five times

fiinf malig (a) five-time, repeated five

tim es

Fiinfseit (n) pentalateral, pentagonfii nfseitig (a) five-sidedfii n f s t ell ig (a) five-place, five-digit

Fiinfstern (m) five-pointed or five-

pronged star, pentacle, pentagramfiinf t fifth

F iinftel (n) fifth part, one fifth

fiinf tens (adv) fifthly, in the fifth

placefiinf wert ig (a) five-valuedfii nfza hlig (a) fivefold

fii nf zehn fifteen

Fiin fz ehn ec k (n) pentadecagonfii nf zig fifty

fii nf zigs t fiftieth

Funktion ( f ) functionfunktional (a) functionalFunktional (n) functionalFunktional analysis ( f ) functional ana-

lysis

Funktionalde term in ante (f) functionaldetermin an t

Funktional gl eichung ( f ) functional equa-tion

Funktionalmatrix ( f ) functional matrixFunktional operation (f) functional ope-

ration

Funktional operator (m) functional ope-rator

Funktional trans formation (f) functionaltr ansf ormation

funktionell (a) functionalFunktionenbildung (f) functional forma-

tion

Funktionenfolge (f) sequence of func-tions

Fun ktionen funktion ( f ) function ofa function, functional

Funktionengattung (f) species of

functions

Funktionenkalkiil (m) functionalcalculus

Funktionenkl asse ( f ) class of func-tions

Funktionenkorper (m) function do-main

Funktionenproblem (n) functionalproblem

Funktionenraum (m) function spaceFunktionenrechnung ( f ) functional

calculus

Funktion ens ystem (n) system of

functions

Funktionentafel (f) function table

funktionentheoretisch (a) function-theoretic

Funktionentheorie ( f ) functiontheory

Funktionselement (n) functionel ement

Funktionsf eld (n) function field

Funktions klasse (f) class of func-tions

Fun ktionss kala ( f ) nomogram scale

Funktions taf el (f) function table

Funktions wert (m) function valueFunktionszeichen (n) functional

symbolFuss (m) foot (length)

Fusskerze (f) foot-candleFusspfund (n) foot-poundFusspunkt (m) foot (of perpendicular);

nadir (of horizon)Fusspunktf lache (f) pedal surfaceFusspu nktkur ve ( f ) , Fusspunkt linie

(f) pedal curveFusspunk ts kurve .(f) pedal curve

Galileitrans formation ( f ) Galileantransform a tion

G allone ( f ) gallon

G alois (N) Galoissche Erweiterung:

Galoisian or normal extension;

Galoissches Polynom: Galoisianor normal polynomial

Galois-Feld (n) Galois field

G amma (n) Greek letter gamma (T,

y)G am mafunktion (f) gamma function

39

G amm as trahl (m) gamma ray

Gamm as trahlung (f) gamma radiation

Gang (m) turn (of helix, screw)

Ganghohe (f) pitch (of helix, screw)

Gangpolkegel (m) polhode coneGangpolkurve (f) polhode curveganz (a) entire, whole, ganze Funktion:

entire or integral function, holo-

morphic function

ganz - abgeschloss en (a) integrally closed

G an ze(s) (n) whole

g anzfl achig (a) holohedralGanzheit ( f ) entirety, i nt egral ness

,

wholenessGanzflachner (m) holohedronganzzahlig (a) integral

Ganzzahlkeit (f) integralness

G as ( n) gas

gasartig (a) gaseous

G as dich ,e (f), G as dich tigkeit ( f ) gas

d ens ity

gasformig (a) gaseousGattung ( f ) kind, species

geben (vt) give. es gibt : there is or

exis ts

G ebiet (n) domain, region, field, rangeGebietsbeschrankung (f) regional restric-

tion

Gebietseinschrankung ( f ) regional restric-

tion

G ebilde (n) construct, configuration,

geometric element or form; forma-tion or structure (of crystal)

gebogen (a) bent, curvedgebrochen (a) broken, fractional; re-

fracted (light)

gebun den (a) bound; latent (heat)

gedacht (a) imaginary, imaginedGed achtnis (n) memorygedampft (a) dampedGef ail beschr ankung ( f ) slope restriction

G ef alle (n) gradient, slope

Gefall funktion (f) slope functionGefrierpunkt (m) freezing point

g eg eb en (a) givenGegenbeispiel (n) counterexampleGegen dr ehung (f) counterrota tion

Gegenecke (f) opposite vertex, vertex

oppositeGegengewicht (n) counterbalanceG eg en kant e (f) opposite edgeG egenkathete ( f ) opposite leg of a right

triangle

Gegenkeil (m) one of a pair of cor-responding dihedral anglesformed when two planes are cut bya third, innere (aussere) Gegen-keile: interior (exterior) dihed-ral angles on the same side of

transverse planeGegen k raft (f) counter force, reac-

tion

Gegenkrummung (f) reverse curva-ture

gegenlaufig (a) oppositely orientedor directed

Gegenlogarithmus (m) antilogar ithmGegenrichtung (f) opposite direction

or senseGegensa tz (m) contrastG egensa tzlichkeit (f) contrarinessGegensehnensatz (m) Ptolemy's

theorem on inscribed quadrilat-eral

Gegenseite (f) opposite side, side

oppositegegenseitig (a) mutual, reciprocalG egenseitigkeit (f) mutuality, re-

ciprocity, interdependenceGegensinn (m) opposite sense or

directiongegensinning (a) of contrary sense,

oppositely directedG egenstand (m) object; topic

G egenstiick (n) analogGegen teil (n) contrarygegenub erl ie ge n (vi) be oppositegegenu'berliegend (a) oppositeG egeniib erstellung (f) comparison.

dualistische G . : dualistic cor-

relation or comparisonGegenwahrscheinlichkeit (f) counter-

probability

G egenwert (m) equivalentG egenwinkel (m) one of a pair of

corresponding angles formed by

two lines and a transversal.

innere (aussere) G .

:

interior

(exterior) angles on same side

of transversa 1

Gegenwirkung (f) reactionGegenzeigersinn (m) counterclock-

wiseGehalt (m) content(s), capacity;

proportion, ratio

gehen (vi) go, pass, run

40

gekoppelt (a) coupledgekrilmmt (a) curvedGelenk (n) joint, link

Gelenkkette (f) series of links, linkage

Gelenkviereck (n) linked or articulated

quadrilateral, four-bar linkage

gelichtet (a) thinned out, reduced.

gelichtete Klasse, Transformation:reduced class, transformation

gelten (vi) hold, be true or valid

Geltung ( f ) validity

gemein (a) common, ordinarygemeinsam (a) common, joint

gemeinschaftlich (a) commongenau (a) accurate, exact, precise,

true; due (east, etc.)

G enauigkeit (f) accuracy, exactness,

precisionG enauigkeitsbestimmung (f) determina-

tion of accuracyGenauigkeitsgrad (n) degree of accuracy,

degree of precision

Genauigkeitsgrenze ( f ) limit of accu-racy, limit of precision

Genauigkeitsmass (n) measure of accu-racy

G enauigkeitsschwelle ( f ) lower limit of

precisiongeneigt (a) inclined, slopinggeneralisieren (vt) generalizeG ener alizierung (f) generalizationGener alnenner (m) least or lowest com-

mon denominatorgenerell (a) generalgenerisch (a) genericG eodasie ( f ) geodesyGeodate (f) geodesicgeodatisch (a) geodesic, geodeticGeodynamik (f) geodynamics.G eogr aphie (f) geographygeographisch (a) geographicG eoid (n) geoidGeoisotherme (f) geoisothermgeoma gnetisch (a) geomagneticG eomagnetis mus (m) geomagnetismG eomechanik (f) geomechanicsGeometer (m) geometer, geometricianG eometrie ( f ) geometrygeometrisch (a) geometricgeometrisch-anschaulich (a) geometric

visual

geometrisch -optisch (a) geometric op-tical

geometrisieren (vt) geometrize

G eometrisierung (f) geometrizationGeometrographie (f) geometrographyGeophysik (f) geophysicsgeophysikalisch (a) geophysicalGeophysiker (m) geophysicistgeordnet (a) ordered, arrangedgeothermisch (a) geothermalgeozentrisch (a) geocentricgepaart (a) pairedgerade (a) straight (line); even

(number)Gerade (f) straight line

G eradenflache (f) basal pinacoid in

tetragonal and hexagonal systems(of crystals)

Geradenfiihrung (f) straight (line)

guide. Pe aucelliersche G.:

Peaucellier' s linkageGer adengleichung ( f ) equation of

straight line

G eradenquadrupel (n) set of four

lines

Ger adenraum (m) space composedof straight lines

Geradenschar (f) family or systemof straight lines

Geradfiihrung (f) = GeradenfiihrungGeradheit ( f ) even ness (of number)

;

straightness (of a line)

geradlinig (a) rectilinear; ruled

Geradlinigkeit (f) rectilinearity

geradlinig-schiefwinkelig ( a)

rectilinear-obliquegeradzahlig (a) even-numberedGeradzahligkeit (f) quality of being

even- numb er ed

gerichtet (a) directed, orientedGerichtetheit (f) orientationGeriist (n) framework, frameGesamtanzahl (f) total numberGesamtbeschleunigung (f) total ac-

celerationGesam tbetrag (m) aggregate or total

amountGesamtenergie (f) total energyGesamtentwicklung ( f ) total develop'

m ent

Gesamterstreckung (f) entirety.

in ihrer G.: in the large

G esam tf eld (n) total field

G esamtheit (f) totality; statistical

universe or populationGesamtheitsmittel (n) population

a verage

41

Gesamtimpulse (m) total momentumGesam tintensitat ( f ) total intensity

G es am tkriimmung ( f ) total curvature,

curvatura IntegraGes amtmasse (f) total mass; statistical

universe or populationG es am tmit tel (n) overall averageG es amtproj ektion (f) total projectionGesamtschwerpunkt (m) composite

c enter of gravityGes am ts trichzahl ( f ) total number of

rulings

Gesamtsumme (f) aggregate amount,grand total

Ges amtvolumen (n) total volumeG esam twer t (m) total valueGesamtwiderstand (m) total resistance

G es am tz ahl (f) total numbergeschichtet (a) 'laminated, stratified

Geschicklichkeits spiel (n) game of

skill

geschlangelt (a) sinuous, windingGes chlecht (n) genus or deficiency (of

curve, surface)

Geschlechtszahl (f) deficiency numbergeschlossen (a) closedgeschlun gen (a) curved, windinggeschweift (a) curved, sinuous

G esch windigke it (f) velocity, speed,

rate

G esch windigkeits abnahme (f) decelera-tion

G esch windigkeitsamplitude (f) velocity

amplitudeG es ch windigkeits an derung ( f ) change in

velocity or speedG es ch windigk ei tsbereich (m) velocity

rangeGeschwindigkeitsdiagramm (n) velocity

diagramG es chwindigkeits gefalle (n) velocity

gradientGeschwindigkeitskomponente (f) velocity

componentG eschwindigkeits koordinaten ( f p 1 ) veloc-

ity coordinatesG eschwindigkei tspotential (n) velocity

potentialGeschwindigkeitsparallelogramm ( n)

parallelogram of velocities

Geschwindigkeitsquadrat (n) square of

velocityGeschwindigkeitsraum (m) velocity

range

Geschwindigkeitsschaubild (n) veloc-ity diagram

Geschwindigkeitssch wankung ( f

)

fluctuation or variation in speedGeschwindigkeitsspektrum (n) veloc-

ity spectrum .

Geschwindigkeitsstufe ( f ) velocitystage

Geschwindigkeitsvektor (m) veloc-ity vector

Gesch windigkeits verlust (m) loss

of speed or velocityGes chwindigkeits verteilung (f) dis-

tribution of velocity or speedG es etz ( n) lawgesetzlich (a) lawful, regularGesetzlichkeit ( f ) conformity with

la w ; regul arity

gesetzmassig (a) lawful, regularGesetzma ssigkeit (f) conformity

with law; regularity

Gesichtkreis (m) horizonG esich tspunkt (m) station point (of

p erspective)

G es ichts winkel (m) visual angle;

aspect

Gesimsflache (f) surface-mou lure,

molding surf ac

e

Gestalt (f) form, shapegestaltlos (a) shapeless, amorphousG estal tver anderung ( f ) change of

shape or formGestange (n) rod system, linkageGestirn (n) star; stellar bodygestreckt (a) stretched, flat, straight

ges trichelt (a) dashed, brokengesucht (a) required

G etriebe (n) linkageGewicht (n) weightG ewichtseinheit (f) unit of weightGewichtssumme (fj sum of the weights

G e w i n

n

(m) gainGewinnanspruch (m) claim to win-

nings

gewinnen (vt) gain, obtain, produce;( vi) an Geschwindigkeit g.:

gain in velocity or speedGewinnerwartung ( f ) expectation of

winningGewinnung ( f ) gaining, obtaining,

productiongewiss (a) certain

Gewisshe it (f) certainty

gewohnlich (a) common, ordinary,

vulgar

42

gewolbt (a) convexgewunden (a) tortuous, twisted, windingGiebelflache ( f ) apical surface, face of

the prismGiebelwinkel (m) apical anglegiltig (a) valid, true

Giltigkeit ( f ) validity, truth

Gitter (n) lattice; (phys.) gratingGitterabstand (m) lattice spacingGitter anordnung (f ) lattice arrangementGitter fa ktor (m) lattice or grating fac-

tor

Gitter bau (m) lattice structure

Gitterebene (f) lattice planegitter formig (a) latticedGittergerade ( f ) , Gitterlinie (f) lat-

tice line

Gitt ermitte (f) lattice centergittern (vt) grate, lattice

Gitternetz (n) lattice net or systemGitternormal e (f) lattice or grating

norma 1

Gitterpunkt (m) lattice pointGitterschwingung ( f ) lattice vibrationGitterstorung ( f ) grating disturbance*

lattice dislocation or distortion

Gitterstrich (m) ruling of a gratingGittertheorie (f) lattice theoryGitter vektor (m) lattice vectorGitterverschiebun g ( f ) = GitterstorungGlanz wink el (m) complementary angle

of incidenceglatt (a) smoothGlatte (f) smoothnessglatten (vt) smoothGlattung (f) smoothinggleich (a) equal, equivalent, like; samegleichartig (a) of the same kind or

species; homogeneousGleichartigkeit ( f ) homogeneitygleichbedeutend (a) equivalentgleichbl eibend (a) constantG leiche ( f ) isogramGleicher (m) equatorGleiche( s) (n) equal(s)

gleichflachig (a) isohedralgleichformig (a) uniform; homogeneousG leichformigkeit ( f ) uniformity; homoge

neity

gleichgerichtet (a) parallelGleichgerichtetheit ( f ) parallelismgleichgestreut (a) homoscedasticGleichgewicht (n) balance, equilibriumGleichgewichtsbedingung (f) equilib-

rium condition

Gleichgewich tslage ( f ) equilibrium

£

g

£

s.

a

&

g

g

position

eichgewichtslehre (f) statics

eichgewich ts zustand (m) state of

equilibriumeichgradig (a) uniform.

g. s tetig: equicontinuouseichgross (a) of equal size

eichheit ( f ) equalityeichheitsz eichen (n) equal or

equality sign

eichlang (a) of equal lengtheichlauf (m) parallelism; synchro-

nism (of clocks)

eichlaufen (vi) oe parallel

eichlauf end (a) parallel; synchro'

nizedeichlauf ende ( f ) parallel line

eichliegend (a) homologouseichmachen (vt) equalizeeichmachtig (a) equipotenteichm achtigkeit (f) equipotency,

equal power or cardinality

eichmachtigkeitstheorie ( f ) theory

of equipotencyeichmachung (f) equalizationeichmassig (a) even, uniformeichmassigkeit ( f ) uniformityeichm oglich (a) equally possible

or likely

eichmoglichkeit (f) equal likeli-

hood ( of events)

eichnamig (a) like, similar

eichrichten (vt) aline; rectify

eichrichter (m) rectifier

eichrichterkristall (m) rectifying

crystal

eichrichterwirkung (f) rectifying

actioneichrichtung ( f ) alignment* recti-

fication

eichschenkelig (a) isosceles

eichseitig (a) equilateral

eichseitigkeit (f) equality of sides

eichsetzen (vt) equateeichsetzung (f) equatingeichsetzungsmethode (f) method

of comparisoneichsinnig (a) of the same sense

eichstreuung ( f ) homoscedasticityeichstrom (m ) direct current

eichung ( f ) equationeichungsansa tz (m) formulation

of equation

43

Gleichungsauflosung (f) solution of

equationGleichungsform (f) form of equationGleichung skonstante (f) constant term

o f equ ation

G leichun gspa ar (n) pair of equationsG 1 eichungspoly nom (n) polynomial

equated to zeroGleichungssystem (n) set or system of

equationsGleichungs th eorie (f) theory of equationsgleich verteilt (a) evenly distributed

G leich vert eilung ( f ) equidistributiongleichviel (a) equinumerous

g leich wahrscheinlich (a) equally prob-able

gleich weitig (a) equidistantGl eich w ert (m) equivalentgleichwertig (a) equivalentGleich w ertigkeit ( f) equival encegleichwinkelig (a) equiangularGleichwinkeligkeit ( f ) isogonalitygleichzahlig (a) numerically equivalentGleichzahlig keit ( f ) numerical equiv-

alenceGleichzeitenkurve (f) isochronegleichzeitig (a) simultaneousGleichzeitigkeit (f) simultaneityG leitbewegung ( f ) gliding or sliding

motionG leitebene ( f ) slip planegleiten (v.i) glide, slide

Gleitflache ( f ) sliding surfaceglei tfr ei (a) nonslippingGleitkurve ( f ) glissette

Glied (n) term; component (of logical

connection); link (of chain)gliedern (vt, vr) segment, classify;

articulate

G liederung ( f ) segmentation, classifi-

cation; articulationGliedkorrelation (f) serial correlationGliedlange (f) link lengthgliedweise (a) term by termGliedzahl (f) link number or relativeGliedziffer (f) link relative

G lobularproj ektion ( f ) globular projec-tion

Globus (m) globeGlockenflache (f) bell-surfaceglockenformig (a) bell-shapedGlockenkurve (f) bell-curve, probability

curveGliicksfall (m) chance event, lucky in-

cident

Gliicksspiel (n) game of chanceGnomon (m) gnomongnomonisch (a) gnomonicG oniometr ie ( f ) goniometrygoniometrisch (a) goniometricGrad ( m) degreeGradbogen (m) graduated arc, pro-

tractor; quadrant scaleGradeinteilung ( f ) graduation in

degreesGradheit (f) = GeradheitGradient (m) gradientGradkreis (m) graduated circle

gradlinig (a) rectilinear

Gradlinigkeit ( f ) rectilinearityGradm ass (n) degree measure, de-

grees, neues G.: grads or gradesGradmesser (m) protractor; gradu-

ated scale

Gradmessung ( f ) measurement of

arcs

Gradnetz (n) map grid

Gra dnetz entwerfung (f) gra ticul ation

Gradnetz entwurf (m) graticuleGradteilung (f) graduation in degreesgraduieren (vt) graduateGraduierung (f) graduationGradzahl (f) number of degreesGradzahlung ( f ) reckoning in degreesGramm (n) gramGrammkalorie (f) gram calorieGrammolekul (n) gram moleculeGrammolekulargew icht (n) gram-

molecular weightGran ( n) grain

Granatoeder (n) rhombic dode-cahedron

graphisch (a) graphic(al)Graphostatik ( f ) graphical statics

graphostatisch (a) graphostaticGratlinie (f) edge, of regression,

cuspidal edgeGravitation (f) gravitation, gravity

Gra vitationsbeschleunigung (f) ac-

celeration of gravity

Gra vitationsf eld (n) gravitational

field

Gra vitationsfluss (m) gravitationalflux

Gra vitationsges etz (n) law of gra-

vity

Gravitationsinvariante (f) gravita-

tional invariantGravitationskonstante ( f ) gravita-

tional constant

44

gravitieren (vi) gravitategra vi tier end (a) gravitatingGreifzir kel (m) caliperGrenzazimut (m) limiting or critical

a zim u th

Grenz bedingung (f) boundary condition,limiting condition

Grenzdicht e (f) limiting or critical den-sity

Grenz druck (m) limiting pressureGrenze ( f ) bound, boundary, limit

Grenzeinhullende ( f ) limit envelopeGrenz elem ent (n) limiting or boundary

elementgrenz enlos (a) boundless, limitless, un-

limitedGrenz fall (m) limiting case.

Kreise and Geraden sind Grenzfalleder logarithmisch en Spirale:

circles and straight lines are limit-ing cases of the logarithmic spiral

Grenz flache (f) boundary surface;

limit surface (of a congruence);contact surface (of two bodies)

Grenz form ( f ) limiting formGrenz fun ktion (f) limit or limiting

functionGrenzgebiet (n) boundary regionGrenz ge falle (n) limiting slope or

gradientGrenzgeschwindigkeit ( f ) limiting velo-

city '

G renz gleichung (f) boundary equationGrenz kontinuum (n) boundary continuumGrenz kurve ( f ) boundary curve, limit or

limiting curveGrenz lage (f) limiting position

Grenz lehr dor n (m) tolerance plug gaugeGrenz linie ( f ) boundary line

Grenzpoten tial (n) limiting or critical

potentialGrenzpunkt (m) boundary point, limit

or limiting point; virtual focus or

limit point (of congruence); class

limit (of statistical group)Grenzrachenlehre ( f ) ext er na 1 - 1 im it

gaugeGrenzraum (m) limiting spaceGrenzschicht ( f ) boundary layer

G renzsingularitat ( f ) boundary singularity

Grenzstreifen (m) boundary band or strip

Grenziib er g an g (m) passage to the limit

Grenzwe rt (m) limiting value, limit

G renzwerteigenschaf t (f) limit-valueprop erty

Grenzzahl ( f ) limit numberGrenzzeichen (n) limit symbol: limgrob (a) coarse, roughGros (n) 12 dozen, gross

gross (a) great, large.

im grossen: in the large

Grosse ( f ) magnitude, size; expres-

sion, quantity; rate (of speed, of .

change)Grossenbestimmung ( f ) magnitude

determinationGrossenbeziehung ( f ) relation be-

tween magnitudes or quantities

Grossengleichung ( f ) equation be-

tween quantities

Grossenlehre ( f ) theory of quanti-

ties; mathematicsGrossenordnu ng ( f ) order of magni-

tudeGrossenschatzung (f) estimate of

magnitudeGrossen verhaltnis (n) proportion,

ratio

grosser (a) greater, larger

Grosskreis (m) great circle (of

sphere)Grosskreisbogen ( m) arc of great

circle

gro sst (a) largest, greatest, maxi-mal, m aximum

Grosst entfernung (f) greatest dis-

tanceGrosstwert (m) greatest value, maxi-

mal or maximum valueGrosszahlforschung (f) the method of

statistics

Grund (m) ground; reason, basis,

f o undationGrundaufgabe ( f ) basic problemGrundaussage ( f ) basic or elemen-

tary statementGrundbegriff (m) basic conceptGrundebene (f) ground or horizontal

plane, basal plane; (cart., engin.)

datum plane or level

Grundflache (f) base (of prismoid)

Gr undform ( f ) fundamental formGrundformel ( f ) fundamental formulaGrundfunktio n (f) base or basic func-

tion

Grundgebil de (n) elementary or

prime formGrundgesamthei t (f) parent popula-

tion (of sampling)

45

Grundgesamtheitsmasszahl ( f ) parame-ter of a statistical distribution

Grundgesetz (n) basic lawGrundgitter (n) fundamental lattice

Grundgleichung (f) fundamental equa*1

tion

Gru ndgross e (f) fundamental quantityG rundint egral (n) fundamental integral

Grundkegelschnitt (m) fundamentalconic (of polarity)

Grundkonst ante (f) fundamental con-stant

Grundkorper (m) ground field

Grundkreis (m) base circle; circle of

inversion; circle of referenceGrund ku gel ( f ) fundamental sphere;

sphere of inversionGrundkurve ( f ) given curveGrundlage ( f ) foundationGrundlagendiskussion ( f ) dis«ussion of

the foundations (of mathematics)Grundlagenforschung (f) study of the

foun da tions

Grundlagenfr age (f) problem in the

foundations (of mathematics)Grundlagenkris e (f) crisis in founda-

tions

Grundlagenproblem (n) = Grundlagen-frage

grundlegend (a) basic, fundamentalGru ndlinie ( f ) base (line), ground line

Gru ndmass (n) fundamental unit

Grundmass e (f) base or initial popula-tion

Grundma terial (n) basic materialGrundni veau (n) lowest level (of

energy)Grundop eration ( f ) basic or fundamen-

tal operationGrundpermutation (f) principal per-

mutationGru ndprisma (n) unit prism, proto-

prismGrundpunkt (m) fundamental point; lim'

iting point (of pencil of circles);

cardinal point (of lens)

Grundpyramide ( f ) unit pyramid, proto-pyramid

Grundrechenoperation (f), Grundrech-nungsart ( f ) basic arithmeticaloperation

Grundregel ( f ) fundamental rule

Grundreihe (f) fundamental series

Grundrel ation (f) fundamental relation

Grundriss (m) horizontal projec-tion, plan

Grundrissebene ( f ) horizontal pro-jection plane, ground plane

Grundriss -ipur (f) trace on the hori-

zontal planeGrundsatz (m) axiom, principleGru ndton (m) fundamental tone;

keynoteGrundungleichung ( f ) fundamental

or basic inequalityGrund vektor (m) basis vectorGrund verknupfung (f) fundamental

connection or connectiveGrundwert (m) basic valueGrundzahl ( f ) cardinal number;

base (of a power, a logarithmicsystem), radix (of a scale of

notation)

G ru ppe ( f ) gr ou

p

Gruppenbil dung (f) groupingGruppencharakter (m) group charac-

ter

Gruppeneigenschaft (f) group prop-erty

Gruppeneinteilun g (f) division into

groups, groupingGruppenelement (n) group elementGruppenmatrix ( f ) group matrixGruppenmittel (n) group averageGruppenring (m) group ring

gruppentheoretisch (a) group-theo-retic( al)

Gruppentheorie ( f ) group theory

gruppenweise (a) by groups; (statist.)

stratified

gruppieren (vt) groupGruppierung (f) groupingGruppoid (n) groupoidGudermann (N) Gudermanns Funktion:

hyperbolic amplitude, Guder-mannian

giiltig (a) valid, true

Giiltigkeit ( f ) validity, truth

Gilltigkeitsbeschr ankung ( f ) validity

restriction

giinstig (a) favorable, successful

Giirtel (m) girdle, ring; zone (of

sphere); (astr.) belt

Gurtelkurve (f) girdle or ring curveGutlehre (f) tolerance or go gaugegyromagnetisch (a) gyromagneticGyroskop (n) gyroscopeGyrostat (m) gyrostat

46

HHaarfeder (f) hair springHaarzirkel (m) hair compasshaft en (vi) adherehaft fahig (a) adhesiveHaf tfahigk ei t ( f ) adhesion, adhesivenessHaf tflache (f) area of adhesionHaftspannung (f) adhesive stress

Haftung (f) = Haftfahigkeith alb (a) half, semi..,

Halbabstand (m) midrangeHalbachse ( f ) semiaxishalbbeschr ankt (a) semiboundedHalbdeterminante ( f ) s emidet erminant,

Pfaffian

Halbebene ( f ) half plane, hemiplanehalbeinfach (a) semi-simpleHalbeinf achheit (f) semi-simplicityhalbelliptisch (a) semielliptichalbfest (a) semisolid, subsolidh albflachig (a) hemihedralHalbflachner (m) hemihedronHalbgruppe ( f ) semigrouphalbieren (vt) divide in half, bisect

Halbierende (f) bisector

Halbierung (f) division in half, bi-

sectionHalbierungsebene ( f ) bisecting planeHalbierungslinie (f) bisecting line

Hal bierungspun kt (m) midpointHalbierungswinkel (m) bisecting anglehalbinvariant (a) seminvariantHalbin vari ante (f) seminvarianthalbkon ver gent ( a ) , halbkonvergierend

(a) semicon vergentHalbkreis (m) semicircleHalbkreisbiischel (n) pencil of semi-

circles

Halbkreisf lache (f) area of semicirclehalbk r e isformig (a) semicircularhalb kr istallin (a) semicrystallineHalbkugel ( f ) hemispherehalbkugelformig (a) hemispherical,

se misphericalHalbkugelges talt ( f ) hemispherical shapehalbkugelig (a) hemisphericalHalbleiter (m) semiconductorHalblinie (f) half line or ray

halblogarithmisch (a) semilogarithmicHal bmesser (m) radius

Halbmond (m) half moon, crescenthalbmondf ormig (a) crescent- shapedhatbnormal (a) seminormalHalbperiode (f) half period

H albprisma (n) he mi prismHalbraum (m) half spaceHalbrund (n) semicirclehalbrund (a) semicircularHalbschatten (m) half shade, half

shadow, penumbraHalbschattengrenze ( f ) penumbra

boundaryH a 1 b s e i t

e

( f ) half side

Halbseitensatze (mpl) formulas for

the half sides of a sphericaltriangle

halbstetig (a) s emicontinuousHalbstetigkeit (f) semicontinui ty

Halbstrahl (m) (half) ray

Halbstreif (m), Halbstreifen (m)half strip

Halbsymmetrie ( f ) hemisymmetryhalbsymmetrisch (a) h'emisymmetrich albunitar (a) semi-unitaryHalbwelle ( f ) half wave, semiwaveHalbwellendipol (m) half-wave

dipoleHalbwellenlange (f) half- wave

lengthHalbwert (m) half valueHalbwertsbreite ( f ) half-value width

or breadthHalbwertsperiode (f) half-life

periodHalbwertzeit ( f ) half life, half-

life periodHalbwinkel (m) half angleHal bwinkelsatz (m) half-angle for-

mulahalbzahlig (a) half- in tegral

Halbzahlkeit ( f ) half integralness

Halfte (f) half

half tflachig (a) hemihedralHalftflachner (m) hemihedronHal tpunkt (m) stopping point

Hamilton funktion ( f ) Hamilton'sfunction,Hamiltonian

Handelsgewicht (n) avoirdupois

weightHandelsstatistik (f) trade statistics

Handzirkel (m) dividers

Harmonikale ( f ) harmonic or unit

line

Harmonikalebene ( f ) harmonic or

unit planeharmonisch (a) harmonicHarmonische ( f ) harmonicHaube ( f ) cap (of surface)

Haufen (m). cluster, heap, pile

47

h aufbar (a) cumulativehau fig (a) frequentHau figkeit ( f ) frequencyHaufigkeitsfunktion ( f ) frequency func-

tion

Haufigkeitsgruppe ( f ) frequency groupHaufigkeitsklasse ( f ) frequency class

Haufigkeitskoeffizient (m) relative fre-

quencyHaufigkeitskurve ( f ) frequency curveHaufigkeitspolygon (n) frequency poly-

gonHaufigkeitsverteilung ( f ) frequency dis-

tribution

Haufigkeitsvieleck (n) frequency polygonH aufig keits w ert (m) frequency valueHaufigkeitsziffer ( f ) relative frequencyHau fu ng ( f ) accumulation, cluster

Haufungsgr enze (f) limit (of a set)

Haufungspunkt (m) point of accumulation,cluster point, limit point

Haufungsstelle ( f ) accumulation point,

cluster or limit point; (statist.)

cluster

Haufungs wert (m) limiting valueHauptachse (f) principal axis; major

axis (of ellipse), transverse axis

(of hyperbola)Hauptachsenkoordinate (f) coordinate

of princ ipal axis

Hauptachsenkreuz (n) system of princi-

pal axes

Hauptbeanspruchung (f) principal stress

Hauptbestandteil (m) principal compo-nent or constituent

Hauptch ara kt er (m) principal characterHauptdehnung ( f ) principal elongationHauptdeterminante (f) principal de-

terminantHauptdiagonale (f) leading or princi-

pal diagonal (of a determinant)Haupt diagonal element (n) element of

principal diagonalHauptdiametralebene (f) principal

diam etral planeHauptebene (f) principal planeHaupt einfallswinkel (m) angle of prin-

cipal incidenceHauptelem ent (n) principal element;

leading or principal element (of a

determinant, a matrix)Hauptf all (m) principal caseHauptflache (f) principal surfaceHauptfolge (f) canonical or principal

sequ ence

Hauptglied (n) principal termHauptideal (n) principal idealHauptidealring (m) principal ideal

ring

Hauptkennzeichen (n) chief charac-teristic

Hauptkonvergenzbedingung ( f ) prin-cipal condition, or test, for

convergenceHaupt kreis (m) great circle (on

sphere)

Hauptkriimmung (f) principal curva-ture ( of surface)

Haupt krii mmungshalbmesser ( m),

Hauptkrummungsradius (m) prin-

cipal radius of curvatureHauptkrummungsrichtung (f) direc-

tion of principal curvature,curvature direction

Hauptkugel ( f ) sphere of inversionHauptkurve ( f ) primitive curveHauptlinie ( f ) principal line, main

or trunk line

Hauptmaximum (n) principal maxi-mum

Hauptmess zahl ( f ) composite indexnumber

Hauptminor ( f ) leading minor (of

determinant)Hauptnenner (m) least common de-

nominatorHauptnormale (f) principal normal

(of skew curve)Hauptnormalenbild (n) image of

principal normalHauptnormal enrichtun g (f) direc-

tion of principal normalHauptnormalenvektor (m) principal

normal vectorHauptnormalschnitt (m) principal

normal section

Hauptordnung ( f ) principal order

Hauptproj ection (f) principal or

standard viewHauptpunkt (m) principal point;

cardinal point (of compass);

point of striction (of surface)

Hauptrichtung (f) principal direc-

tion; cardinal point (of compass);(statist. ) trend

Hauptsatz (m) principal or maintheorem

Hauptschatten (m) umbraHauptscheitelkreis (m) major auxil-

iary circle

48

Hauptschnitt (m) principal section

Hauptschwingungsrichtung ( f ) princi-

pal vibration directionHauptsehne (f) principal chordHauptspannung ( f ) principal strain,

stress, or tension; (elec.) princi-

pal potential or voltageH auptspektrum (n) principal spectrumHauptstrahl (m) principal ray

Hauptstrahlenbiindel (n) principal beamor bundle of rays

Hauptstr ahlneigungs winkel (m) inclina-

tion angle of principal ray or beamHauptsy m metrieachse ( f ) principal axis

of symmetryHauptsym metrieebene ( f ) principal plane

of s y m m etry

Haupt tangente (f) inflectional tangent,

or asymptotic direction (on surface)

Haupttangentenkurve (f) asymptoticcurve or line (on surface)

Hauptteil (m) principal part

Haupt tra gheitsachse (f) principal axis

of inertia

Haupttra gheitsmoment (n) principal

moment of inertia

Hauptunterde term in ante ( f ) principalor leading minor of a determinant

Hauptwert (m) principal valueHauptzahl ( f ) principal number; vari-

able factor (of algebraic term)Hebel (m) lever

H eb el arm (m) lever armh eb en (vt) lift, raise; (vr) cancelHeisch es a t z (m) postulateHektar (n) hectareHektogramm (n) hectogramHek toliter (n) hectoliterHek torn eter (n) hectometerhelioz en tr isch (a) heliocentricHemibrachydoma (n) hemibrachydomeHemidom a (n) hemidomeHemieder (n) hemihedronHemiklinodoma (n) hemiclinodom e

Hemimakrodoma (n) hemimacrodomehem imorp h (a) hemimorphicHemim orphie ( f ) hemimorphismHemiorthodoma (n) hemior thodomeHemiprism a (n) hemiprismhem iprism atisch (a) hemipris maticHemip yr amide {f) hemipyramidH em isph are (f) hemispherehemispharisch (a) hemisphericalhemisymmetrisch (a) h emis y mmetric

hemitrop (a) hemitropicHemizykel (m) hemicyclehemiz yklisch (a) hemicyclicHenkel (m) handle.

Kugel mit p Henkeln: sphere with

p handles, orientable or two-sided surface of genus p

Henkelkorper (m) orientable mani-fold

Heptagon (n) heptagonheptagon al (a) heptagonalherabf al len (vi) fall downherabgleiten (vi) glide or slide

downherabhangen (vi) hang downherabm indern (vt) diminish, reduceHer abminderung (f) diminution, re-

ductionherabs etzen (vt) lower, reduceHerabsetzung ( f ) lowering, reduc-

tion

herabsinken (vi) drop, sink

herabziehen (vt) draw or pull downherauf Ziehen (vt) pull up

herausfallen (vi) drop or fall out,

cancel out

herausheben (vt) factor out; (vr)

cancel out

herauskommen (vi) come out, emergeherauskristallisieren (vi) crystallize

out

herausschrauben (vt) unscrewherausziehen (vt) draw or pull out

Herbsta quinoktiu m (n) autumnalequinox

Herbstnachtgleiche ( f ) autumnalequ inox

Her bstpunkt (m) autumnal point or

equinoxHerbsttagundnachtgleiche (f) autum-

nal equinoxherleiten (vt) derive (a formula)

Herleitung ( f ) derivation

Hermite ( N) Hermitescher Kern;

Hermitian kernel;

Hermitesche Form, Matrix:Hermitian form, matrix;

Hermitesches Integral;

Hermitian or Hermite's integral

hermitisch (a) Hermitian [= Her-

mit esch j

Herpolhodie (f) herpolhodeherstellen (vt) establish, produceHerstellung (f) production

49

h eru m dr eh en (vt, vr) turn round, rotate

aboutherunter fallen (vi) fall downHerzkurve ( f ) , Herzlinie (f) cardioidheterogen (a) heterogenous, inhomoge-

n ou s

Hetero geneitat ( f ) heterogeneity, inbo-rn ogeneity

heterogra d (a) heterogradeheteromorph (a) heteromor phicH et erom orphie ( f ) h eteromorphismh euris tis c h (a) heuristic

Hexade ( f ) hexadH ex ae der (n) hexahedronhex ae drisch (a) hexahedralHexagon (n) hexagonhexagonal (a) hexagonalHex a gon al itat ( f ) hexagonalityHex agon al zahl (f) hexagonal numberHex a gramm (n) hexagramHexakiso kt aeder (n) hexoct ahedronhexakisoktaedrisch (a) hex oc tah edral

Hexakistetraeder ( n) h ex at etr ahedronhexakistetraedrisch (a) hex atetrahedra 1

Hilbert (N) Hil bert- Raum: Hilbert space,

or space H; Hilbertsches Integral:

Hilbert' s integral

Hilfsfigur ( f ) auxiliary figure

H ilf s form el (f) auxiliary formulaHilfsgleichun g ( f ) auxiliary equationHilfsgrosse (f) auxiliary or subsidiary

quantity, parameterHilf skoordina te (f) auxiliary or para-

metric coordinateHilf slinie ( f ) auxiliary line

Hilfsmittel (n) aid, meansHilfspoiynom (n) auxiliary polynomialHilf spunkt (n) auxiliary pointHilf ss atz (m) auxiliary theorem, lemmaHilf s variable ( f ) auxiliary or subsidiary

variable, parameterHilfs vektor (m) auxiliary vectorHilfsveranderliche ( f ) = Hilfs variable

Himmel (m) sky, heavensHimmels achse (f) celestial axis

Himm els aqu a tor (m) celestial equatorHimmelserscheinung ( f ) celestial phe-

nom enonHimm els gegend (f) heavenly region;

com pass point

Himmelsglobus (m) celestial globe

Himmelshalbkugel (f) celestial hemi-sphere

Himmels kart e (f) celestial map

Himm els koordinaten (fpl) celestial

coordinatesHimmels korper (m) celestial or

heavenly bodyHimmelskugel (f) celestial sphereHimmelskunde (f) astronomyHimm els mechanik (f) celestial

m echanicsHimmels meridian (m) celestial

meridianHimm elsnordpol (m) celestial north

pol e

Himmelspol (m) celestial poleHimmelspunkt (m) celestial point

Himmmelsrichtung (f) compass point

Him m els siidpol (m) celestial southpole

Himm els zeichen (n) celestial or

zodiacal s ign

him mlis ch (a) celestial, heavenlyhindur ch dringen (vi) penetrate, pierceh indur chgehen (vi) pass through,

cross

hindurchpassieren (vi) = hindurch-geh en

Hinlangl ich k ei

t

(f) sufficiencyH i n langlichkeitsbeweis ( m ) proof

o f s uf ficienc y

hinreichend (a) sufficient

hinter (a) back, rear.

hintere Derivierte: regressive

or back derivativehinter (prep) behindHin terbl iebenenversicherung ( f

)

survivor's insuranceHinter ec ke (f) rear cornerHinter f 1 ache ( f ) rear faceHinter gl ied (n) consequent (of a

ratio); (log.) second componentHinter kegel (m) back(ward) coneHin ter kante ( f ) rear edgeHinterseite (f) back, rear

hiniiber (adv) across, overhiniiberfuhren (vt) carry overhinubermultiplizieren ( vt, vi) cross

multiplyhiniiberschaffen (vt), hinubertrans -

ponieren (vt) transfer or trans-

pose to the other side

hinunter (adv) down(ward)Hinweis (m) cross referencehinzufiigen (vt) addHinzu fiigung (f) additionHippopede (f) hippopede (curve),

spherical lemniscate

50

hoch (a) high

hochfr equenz (a) high-frequencyHochf requenz ( f ) high frequencyHochfrequenzfeld (n) high-frequency

field

Hochfrequenz strom (m) high-frequencycurrent

Hochfrequenzstufe (f) high-frequencystage

Hoch frequ en z trans form ator (m) high-frequency transformer

hochgestellt (a) raised, superior

hochgradig (a) of a high degree, high-grade

hochs t (a) highest, maximum.hochster Koeffizient: leading co-efficient

Hochs tausschl a g (m) maximum ampli-tude or swing, maximum deflection

Hochs tdauer (f) maximum durationHochs tdimension (f) highest dimensionHochs tdrehmoment (n) maximum torqueHochs tdruck (m) maximum pressureHochs tf ehl er (rh) maximal error

Hochs tfr equenz ( f ) maximum frequency,hyp er frequency

Hochstgeschwindigkei t (f) maximumspeed or velocity

Hochstmass (n) greatest measure,m ax imum

Hochs tspa nnung (f) maximum tension;

(elec.) maximum or peak voltageHochs tst and (m) highest level

Hochs tstrom (am) maximum or peakcurrent

Hochs tw ert (m) maximum valueHochstzahl ( f ) highest or maximum

numberHochs tziffer ( f ) highest or maximum

figure

hochs tzulassig (a) m ax imum - perm issib le

hochw er tig (a) high-valuedHochz ah 1 (f) exponentHodograph (m) hodographHodographenkurve ( f ) hodograph (curve)

Hof fnu ng ( f ) expectationHon e (f) altitude, height; pitch (of

tone)

Hon en abschnitt (m) distance from ver-

tex of a triangle to the orthocenter

Hohenbestimmung (f) determination of

altitude or heightHo h en differ enz ( f ) difference in height,

rise

Hohenformel (f) altitude formulaHohengleich ( f ) altitude parallelHohenkote ( f ) spot height (in map)Hohenkr eis (m) circle of altitude,

azimuth circle

Hohenlinie (f) line of level, con-tour line

Hohenlinienkarte (f) contour mapHohenmass (n) measure of altitude

or elevationHohenparallaxe ( f ) altitude pa-

rallax

Hohenschnittpunk t (m) orthocenter(of a triangle)

Ho h enstrah 1 (m) cosmic ray

Hohenstrahlung ( f ) cosmic radiationHohepunkt (m) culminating point

hoher (a) higherhoh

1

(a) hollow, concavehohlerhaben (a) concavo-convexHohlf 1 ache ( f ) concave surface

Hohlgitter ( n) concave grating

Hohl k eg el (m) hollow coneHohlkorper (m) hollow bodyHohlkugel ( f ) hollow sphereHohllins e (f) concave or diverging

lens

Hohlmass (n) measure of capacity,

dry measureHohlraum (m) hollow spacehohlrund (a) concaveHohlspiegel (m) concave mirror

Hohlung_ ( f ) hollow, cavityHohlwinkel (m) angle < 180°,

concave angleHohlzylinder (m) hollow cylinder

Holoeder (n) holohedronholoedrisch (a) holohedralholomorph (a) holomorphicholonom (a) holonomicHolzmass (n) wood measurehorn alographisch (a) horn alographic

horn aloidisch (a) homaloidalHomoeder (n) homohedronHomoedrie ( f ) homohedrismhomoedrisc h (a) homohedralhorn ogen (a) homogeneousHomogenei tat ( f ) homogeneityHomogenei ta tsbedingung (f) con-

dition of homogeneityHomogeneitats eigenscha ft ( f ) prop-

erty of homogeneityHomo geneitatsrelatio n (f) relation

of homogeneity

51

homogenisier en (vt) homogenizeHom ogenisierung ( f ) homogeniz ation

hom ogra d (a) homogradeHomographie ( f ) homographyhomographisch (a) homographiehomolog (a) homologousHomologie ( f ) homologyHomologiegruppe ( f ) homology groupHomologiekl asse (f) homology class

Homologiezentrum (n) center of homo-logy, center of perspectivityor perspective

homomorph (a) homomorphicHomomorphie (f), Homomorphismus (m)

homomorphismHomomorphiesatz (m) law of homo-

morphismhomoomorph (a) homeomorphic, iso-

morphousHomoomorphie ( f ) homeomorphismhomoopolar (a) homeopolar, unipolarHomotopie ( f ) homotopyhomotopisch (a) homotopiehomoz entrisch (a) homocentricHorizont (m) horizonhorizontal (a) horizontalHorizontalachs e (f) horizontal axis

Hor izont al e (f) horizontalHorizontal ebene (f) horizontal planeHorizontalgeschwindigkeit (f) horizon-

tal velocityHorizontalitat (f) horizontality

Hor izont al komponente (f) horizontalcompone nt

Hor izontalkr aft (f) horizontal force

Horizontal linie ( f ) horizontal line

Horizontalparallaxe (f) horizontalparallax

Horizontalpendel (n) horizontal pen-dulum

Horizontalprojection (f) horizontal pro-

jectionHorizontalschnitt (m) horizontal sec-

tion

Horizontalschub (m) horizontal thrust

Horizontalsicht (f) horizontal visibility

Hor izontalsp annung ( f ) horizontal stress

or tension

Horizontalstreifen (m) horizontal bandor strip

Horizontal verschiebung (f) horizontalshift or displacement

Horizontbogen (m) arc of the horizonHorizontkoordinaten ( f p 1 ) horizontal

coordinates

Horizykel (m) limit curve, hori-c y cl e

Horkurve (f) audiogramHoropter (m), Horopter kurve ( f

)

horopterHuf (m) ungulaHuf kante ( f ) ungula edgeHu'lle ( f ) envelope; closure (in

linear transformation)Hiillfl ache (f) envelope surfaceHullintegral (n) envelope integral

Hullintegralformel (f) envelopeintegral formula

Hullkurve (f) envelope curveHu'llkur vensatz (m) envelope curve

theoremHundekurve (f) curve of pursuit

hundert hundredHundert (n) hundredHundertel (n) hundredth (part)

Hunderter (m) hundredHunderterstelle ( f ) hundreds placehundertprozentig (a) one hundred

percentHundertersatz (m) percentagehunderts t hundredthHunderts tel (n) hundredthhundertteilig (a) centesimal, centi-

gradeHydraulik (f) hydraulics

hy dr aulisch (a) hydraulicHydrody namik (f) hydrodynamicshydrodynamisch (a) hydrodyn.amicHydromechanik ( f ) hydromechanicshydromechanisch (a) hydromechani-

cal

Hydrosphare (f) hydrosphereHydrostatik (f) hydrostaticshydrosta tisch (a) hydrostaticHyperbel ( f ) hyperbolaHyperbelas t (m) branch of hyper-

bola

Hyperbelbahn ( f ) hyperbolic orbit

or pathHyperbelform ( f ) hyperbolic formHyperbel funktion ( f ) hyperbolic

functionHyperbelgleichung ( f ) equation of

a hyperbolaHyperbelsegment (n) segment of a

hyperbolahyperbolicus (a) hyperbolichyperbolisch (a) hyperbolic, hyper

bolische Amplitude: hyperbolic

amplitude, Gudermannian

52

Hyperboloid (n) hyperboloidHyperboloidalspiegel (m) hyperboloidal

mirrorHyper biindel (n) hyperbundleHyperbiischel (n) hyperpencilHyperdeterminante ( f ) hy perdeterminant,

invariantHypereben e ( f ) hyperplanehyperelliptisch (a) hyper elliptic

Hyperflache ( f ) hypersurfacehypergeometrisch (a) hyper geom etric

hyp erkomplex (a) hypercomplexHyperoskul ation (f) superosculationh yperoskul ieren (vt) superoscul ate

Hyp erradikal (n) hyperradicalHyperraum (m) hyperspaceHyp ersphar e (f) hypersphereHypotenuse ( f ) hypotenuseHypotenusenabschnitt (m) segment of

hypotenuseHypotenusenflache (f) hypotenuse sur-

face or face (of prism)Hyp.othese ( f ) hypothesishypothetisch (a) hypotheticalHypotrochoide ( f ) hypotrochoidHypozykel (m) hypocycleHypoz ykloide ( f ) hypocycloid

ideal (a) ideal

Ideal ( n) ideal

Idealbasis ( f ) ideal basis

Ideal krista 11 (m) perfect crystal

Idealquotient (m) ideal quotientId ealtheorie ( f ) theory of ideals

idempotent (a) idempotentidentisch (a) identicalIdentitat (f) identityidiomorph (a) idiomorphous, idiomor

phicidiophan (a) idiophanousIkos aeder (n) icosahedronikos aedr isch (a) icosahedralIkositetr aeder (n) icositetrahedron,

tr apezohedronimaginar (a) imaginary.

imaginare Kreispunkte: circular

points at infinity, focoidsImaginarteil (m) imaginary part

Implikation (f) implicationimplizieren (vt) implyimplizit (a) implicitimplizite (adv) implicitlyimpradikativ (a) impredicati ve

mprimitiv (a) imprimitivemprimiti vitat ( f ) imprimi tivity

m primitivitatsgebiet (n) system of

imprimitivit y

mpuls (m) impulse, (linear) mo'm entum

mpulsanderung ( f ) change of im-pulse

mpulserhaltun g (f) conservation of

momentummpulsfolge (f) impulse sequence or

strain

mpulsfrequenz ( f ) impulse frequencympulskomponente (f) component of

momentum or impulsempulskoordinaten (fpl) momentum

coordinatesmpulsmoment (n) moment of

momentum, angular momentummpulspeilung (f) radarmpulsraum (m) momentum range

or spacempulsreihe ( f ) impulse sequence or

train

mpulsstrahlung (f) impulse radi~

a tion

mpulsveranderung (f) change of impuis e

mpuls verh altnis (n) impulse ratio

naqui valent (a) inequivalentnaquivalenz ( f ) '•inequivalence

ndeterminiert (a) indeterminatende terminis mus (m) indeterminismndex ( m) index .

unterer I. : subscript

oberer I.

:

superscript

ndexellipsoid (n) index ellipsoid

ndexschreib weise ( f ) index nota-tion or symbolism

ndextripel (n) index triplet

ndexzahl (f), I n dexziffer ( f ) in-

dex numberndifferent (a) indifferent; inert

(gas); neutral (equilibrium)ndikator (m) indicatorndikatordiagramm (n) indicator

diagramndikatrix ( f ) indicatrix

ndirekt (a) indirect

ndividuell (a) individual

ndi viduenbereich (m) domain of

individualsIndividuenpradikat (n) predicate of

individuals

53

Indi viduenvariable ( f) individual vari-

ableIndi viduum (n) individualindizi er en (vt) indicateindizier t (a) indicatedIndizierung (f) indicationIndu ktanz (f) inductanceInduktion (f) inductionin dukti v (a) inductiveIndu ktivita t (f) inductanceinduzier en (vt) induceineinander liegen (vi) be incidentIneinanderliegen (n) incidenceineinanderschachteln (vi) nest

Ineinanderschachtelung (f) nest

infinitar (a) infinitary

infinites im al (a) infinitesimalInfinitesimalbetrachtung ( f ) considera-

tion of infinitesimalsInfinitesimal grosse ( f ) infinitesimal

(quantity)

Infinitesimalrechnung ( f ) infinitesimal

calculusInflexionsknoten (m) inflectional node,

fl ecnodeIn fl exionspunkt (m) point of inflection

Infl exionstangent ( f ) inflectional tan-

gentinfl ex iv (a) inflexive, irreflexiveInbalt (m) content(s); area; volumeinhaltlich (a) intuitive

Inhaltsberechnung (f) cubature;qua dra ture

inhalts gleich (a) of th'e same or equalcontents; of equal volume; equiareal

inhomogen (a) inhomogeneousInhomogeneitat (f) inhomo geneityInklination ( f ) inclinationInklinationsrichtung ( f ) direction of dip

or inclinationInklinationswinkel (m) angle of incli-

n ation

inkoharent (a) incoherentInkoharenz ( f ) incoherenceinkommensurabel (a) incommensurableInkommensurabilitat (f) incommensura-

bility

inkompr essibel (a) incompressibleinkongruent (a) incongruentInkongru enz (f) incongruencein kons tant (a) inconstant, unstableIn kons tanz (f) inconstancy, instability

inkorrekt (a) incorrectInkorr ek theit (a) incorrectness

nkreis (m) inscribed circle, in-

circle

nkreismittelpunkt (m) center of

inscribed circle, incenternkreisradius (m) radius of inscribed

circle

nkr em ent (n) incrementnnen (a) internal, insidennen (adv) internallynnenaufbau (m) internal structurennendruck ( m) internal pressurennendur chm ess er (m) inside or in-

ternal diameternnenflache (f) interior surface

nnengebiet (n) interior region

nnenglied ( n) mean term (of a pro-

portion)

nnenmass (n) interior dimension or

measurennenpunkt (m) interior point

nnenr au m (m) interior (space)nnenseite ( f ) inner surface, inside,

interior

nnenspannung (f) internal stress

nnenweite ( f ) inner spannnenwiderst an d (m) internal resis

tanc e

nnenwinkel (m) interior anglenner (a) inner, inside, interior, in

ternal, intrinsic

nnere (n), Inneres (n) interior

nnerhalb (adv, prep) inside

nnerlich (a) innate, intrinsic

nnerst (a) innermostnnewohnend (a) Inherentnseparabel (a) inseparablenseparabilitat ( f ) inseparability

nstabil (a) unstablenstabilitat (f) instability

ntegr abel (a) integrablentegrabilitat (f) integrability

ntegr abilitatsbedingung (f) condi-tion for integrability

ntegrabilitatsfaktor (m) integrabi-

lity factor

ntegral (n) integral, an tiderivative

ntegr albegriff (m) integral con-cept

ntegraldefinition (f) definition of

an integral

ntegralflache (f) integral surface

ntegralformel ( f ) integral formulantegralfunktion (f) integral func-

tion

54

Integralgleichung ( f ) integral equationIntegral in variante (f) integral invari-

ant

Integral kosinus (m) integral cosineIntegral krummung ( f ) integral curva-

ture

In tegralkur ve (f) integral curveIntegrallogarithmus (m) integral loga-

rithmintegrallos (a) integral - free

Integral operator (m) integral operatorIntegralrechnung ( f ) integral calculusIntegralsatz (m) integral theoremIn tegr alsinus (m) integral sine

Integr al torsion (f), Integral win dung ( f

)

integral torsion

In tegr al wert (m) value of integral

In tegr al zeichen (n) integral sign

Integrand (m) integrandIn tegr aph (m) integraphIntegration ( f ) integration.

I. nach Teilen oder partielle I.:

integration by parts

Integr ationsber eich (m) field of in-

tegrationIn tegr ationsf or mel (f) integration for-

mulaIntegrationsgerat (n) integration device

or instrument, integrator

Integrationsgrenzen ( f p 1 ) limits of in-

tegrationIn tegr ationsint ervall (n) integration

interval

Integr at ions konstante ( f ) constant of

integrationIntegrationsmethode ( f ) integration

m ethodIntegrationsstrecke ( f ) integration in-

terval

Integrations variable (f), Integr ations -

v eranderliche ( f) variable of in-

tegration

Integrationsvolumen (n) integration

volumeIntegr ationsweg (m) path of integra-

tion

In tegr ations w eise ( f ) method of inte-

gration

Integrator (m) integration device, in-

tegratorintegrierbar (a) integrable

Integrierbarke it (f) integr ability

Integrierbarkeitsbedingung ( f ) in--

tegrability condition

integrieren (vt) integrateIntegrierung ( f ) integrationIntegritatsbereich (m) domain of

integrity, integral domainIntensita t (f) intensity

Intensitatsanderung ( f ) intensity

change or variationIntensitatskriterium (n) intensity

criterion

Intensita tsmaximum (n) maximumintensity

Intensitats minimum (n) minimumintensity

Intensitats verteilung (f) intensity

distribution

in tensi v (a) intense, intensiveInterferenz (f) interferenceInterfere nzbild (n) interference

figure or patternInter ferenz glied (n) interference

termInterferenzstreifen (m) interference

band or fringe

interf erieren (vt) interfere

intermediar (a) intermediaryinterplanetar isch (a) interplanetaryInterpol ation ( f ) interpolation

Interpolationsformel (f) interpola-

tion formulaInterpolationsproblem ( n) interpo-

lation problemIn terpol ationsr echnung (f) calculus

of interpolationInterpol ationstheorie (f) interpola-

tion theoryinterpolier en (vt, vi) interpolate

In terpolier ung (f) interpolation

interszendent (a) interscendentInterszendente ( f ) inters cendental

(number)Interszendenz (f) intersc endenceInter vail (n) interval

Intervallregel (f) interval rule

Intervallschachtelung ( f ) nest of

intervalsIntervallverhaltnis (n) interval

ratio

intransiti v (a) intransitive

Intransitivitat (f) intr ansitivity

Intuition ( f ) intuition

Intuitionismus (m) intuitionism

in tuitionistisch (a) intuitionistic

intuitiv (a) intuitive

Invaliditatsversicherung (f) disability

insurance

55

in variabel (a) invariableInvariabl e (f) invariable

invariant (a) invariantIn varian te ( f ) invariantInvariantentheorie (f) invariant theory

In varianz (f) invarianceIn vari an zs atz (m) invariance principlein vers (a) inverse, reciprocalIn vers ator (m) sphere of inversionIn vers es (n) inverseinvershyperbolisch (a) inverse hyperbo-

lic, a ntihy perbol ic, arc -hyp erbolicIn version (f) inversion.

Prinzip der I.: principle of inver-sion or of reciprocal radii

In versionskreis (m) circle of inversionIn versionskugel ( f ) sphere of inversionIn versionss atz (m) 'inversion theoremIn versionsy mbol (n) inversion symbolInversionszentrum (n) center of inver-

sion

in vers isom orph (a) i n verse- isomorphicin verstrigonometrisch (a) inverse tri-

gonometric, antitrigonometricin vertierbar (a) invertibleInvertierbarkeit (f) in vertibilit y

invertieren (vt) invert

Invertierung ( f ) inversion

Involute ( f ) involute, evolventIn vo lu tion ( f ) involutionIn volu tionssyst em (n) in volutionary or

involutory systemin volu toris ch (a) involutoryinwendig (a) inside

inzident (a) incident, conjoint, unitedInzidenz (f) incidenceInzidenzmatrix ( f ) matrix of incidenceInzi denz winkel (m) angle of incidenceIo ta (n) Greek letter iota (I,t)

irrationa l (a) irrational

Irrationalitat (f) irrationality

Irrationalz ahl (f) irrational numberirreal (a) unrealIrrealita t (f) unrealityir redu ktibel (a) irreducibleIr re du ktibili ta t (f) irreducibilityirreduzibel (a) irreducibleIrreduzibilitat ( f ) irreducibility

Irreduzibitatskriterium (n) irreducibility

criterion

irreflexi v (a) irreflexive

Irreflexi vita t ( f ) irref lexivity

irregular (a) irregular

rregularitat ( f ) irregularity

rren (vi) err, be mistaken; (vr)

sich irren: make a mistakerrev e rsibel (a) irreversible

rre versibilitat ( f ) irreversibility

rrtum (m) error

sobar (a) of equal weight, isobaric

( expression)s obar e (f) isobaric line, isobar

sobar enkarte (f) isobaric chart

sobarisch (a) isobaric (line)

sochore ( f ) isochor

sochron (a) isochronoussochrone (f) isochronous curve,

isochronesochronismus (m) isochronismsodimor phie ( f ) isodim orphismsodyname ( f ) isodynamic line

sodynamisch (a) isodynamicsogonal (a) isogonal, equiangularsogonalkreis (m) isogonal circle

sogone (f) isogonal or isogonic line,

isogonesogonie ( f ) isogonysohypse (f) line of level, contour

line

isol iert (a) isolated.

isolierter Punkt; isolated point;

(also, of a curve) acnode, con-jugate point

Isometrie ( f ) isometryisometrisch (a) isometricisomorph (a) isomorphicIsomorphic (f) isomorphism; (cryst.)

horn eomorphism, isomorphismIsomcrphiesatz (m) law of isomor-

phismIsomorphismus (m) isomorphismIsoperimetrie (f) isoperimetryisoperim etris ch (a) isoperimetrieisopolymorph (a) isopoly morphicIsopolymorphie (f), Isopolymor-

phismus (m) isopolymorphismisoptisch (a) isoptic

Isostasie (f) isostasy

Isosta tik (f) isostatics

isostatisch (a) isostatic

isotherm (a) isothermalIsotherme (f) isothermal line, iso-

thermIsothermenkarte (f) isothermal map

or chart

Isothermenschar (f) isothermalfamily

56

Isothermflache ( f ) isothermal surfaceisothermis ch (a) isothermal, isothermicIsothermkurve (f) isothermal curveIsotop ( n) isotopeIsotopie ( f ) isotopyisotopisch (a) isotopieisotrop (a) isotropic

Isotropie (f) isotropy, isotropismIs tm ass (n) actual size

Iteration ( f ) iteration, repetitionIterationsdefinition ( f ) definition of

iteration

Iterationsmethode (f), Iter ationsver fall -

ren (n) iteration methodit eriert (a) iteratedIterierung ( f ) iteration

Ja cobi ( N ) Jacobische Determinan te :

JacobianJahr esmitt el ( n) annual meanJahresschwankung ( f ) annual fluctuation

or variationJahreszeit ( f ) seasonJahrgang (m) age group or year (of a

population)Jahrhunder t (n) century

j a h r 1 i c h (a) annual, yearly

Jahr taus en d (n) millenniumJahrzehnt (n) decadeJakobs tab (m) cross-staff , Jacob* s staff

J- kurve (f) J-shaped curve, J-curvej_e ( a d v ) each, in, perJordan ( N) Jordanscher Kurvensatz:

Jordan's curve theoremJordanbogen (m) arc of a Jordan curveJordanku rve (f) Jordan curveJo ta (n) iota

KKale nder (m) calendarKalenderj ah r (n) calendar yearKaliber (n) caliberKal ibermass (n) caliber gaugekalibrieren ( v t) calibrateKalibrierung ( f ) calibrationKal ku 1 (m) calculusK alkulat ion ( f ) calculation; estimateKalkulationsfehler (m) miscalculationKal ku lator (m) calculator, computerkalkulieren (vt) calculate, computeKal orie (f) calorieKaloriengehalt (m) caloric or calorie

content

Kalorik (f) theory of heatkalorisch (a) caloricKalotte ( f ) spherical capKampyla (f) kampyleKanal (m) canal, channelKanalflache (f) canal surfaceKanalstr ahl (f) canal ray

Kanalstrahlanalyse (f) canal-rayanalysis

kanonisch (a) canonicalKante ( f ) edgekanten (vt) set on edgeKantenansicht (f) edge viewKantenanzahl ( f ) number of edges

Kantenbedingung (f) edge condi-tion

Kan tendiff er enz (f) edge differenceKantenlang e ( f ) edge lengthKantenwinkel (m) edge angleKantenzahl (f) number of edgesKapazitanz ( f ) capacitanceK apazita t (f) capacity, capacitance;

memory (of a computing machine)Kapazitatsausgleich (m) capacity

balanceKapazitatsbereich (m) capacitance

rangeKapazitatseinheit (f) unit of capac-

Uy..

kapazitatsfrei (a) noncapacitiveKapazitatskoeffizient (m) coeffi-

cient of capacitykapazitatsline ar (a) straight- line

capacitanceKapazitatsmesser (m) faradmeterKapazitatsschwun d (m) loss of ca-

pacitykapaziti v (a) capacitive

kapillar (a) capillary

Kapillaraffinitat ( f ) capillary af-

finity

Kapillar anziehung (f) capillary at-

traction

Kapillaritat ( f ) capillarity

Kapillarkraft (f) capillary force

Kapillarrohr (n) capillary tube

Kapillarwirkung ( f ) capillary action

Kappa (n) Greek letter kappa ( K, k)

Kappakurve (f) kappa curve

Karat (n) carat

Karatgewicht (n) troy-weightKardangelenk (n) Cardan or univer-

sal joint

kardanisch (a) Cardan's, Cardanic

57

Kardanring (m) Cardan or gimbal ring

Kardanwelle ( f ) Cardan shaft

K ardinal gera de ( f ) cardinal line

Kar dinalpunkt (m) cardinal point

Kar dinal zahl ( f ) cardinal numberKardinalzahlenkomplex (m) complex

of cardinal numbersK ardinal zahl en arithmetik (f) cardinal

arithmeticKar dioide (f) cardioidKardioidenflache ( f ) area of a cardioidKar te ( f ) card; chart, mapKartenentfernung ( f ) map rangeKartenentwurfslehre (f) theory of map

makingKarten mass-stab (m) map scale

Kartennetz *(n) map grid

Kartennetzentwerfung (f) graticulation

Kartennetz entwurf (m) graticule

Kar tenpr oj ek tion ( f ) cartographic or

map proj ec tion

k art es isch (a) CartesianKar togr amm (n) statistical map, carto-

gramKartograph (m) cartographerKar tographie ( f ) cartographyk artographisch (a) cartographicKassinisch (a) Cassinian.

Kassinische Kurven oder Linien:ovals of Cassini, Cassinian ovals

Kassinoide (f) Cassinian oval

Katakaustik (f) ca ta caus tics ; catacausticcurve, or sur fa ce

Kategorie (f) categorykategorisch (a) categoricalKat enoid (n) catenoidKathete ( f ) leg of a right triangLe

Kathetenfl ache ( f ) one of the shorter

faces of a right triangular prismkausal (a) causalKausalgesetz (n) law of causality

Kausalitat ( f ) causalityKausalitatsprinzip (n) causality prin-

cipleKausalnexus (m) causal connectionKausalverbindung (f), Kausal verknupf-

ung (f), Kausalzusammenhang (m)causal connection

Kaustik (f) caustics; caustic curve, or

surfaceKautionversicherung, ( f ) fidelity insur-

anceKavalierperspe ktive (f) ca valier perspec-

tive

Kavalierproj ek tion (f) cavalier

proj ection

Kegel (m) coneKegelachse (f) axis of a coneKegelbe wegung (f) conical motionKegel erzeugende ( f ) ruling or ele-

ment of a coneKegel flache (f) conical surfaceKegel form ( f ) conical shapekegelformig (a) cone-shaped, coni-

cal

Kegel gestalt ( f ) conical shapeKegelhuf (m) ungula of a conek egelig (a) cone-shaped, conicalKegel keil (m) conical wedge, cuno

cuneus (of W allis)

Kegelknotenpunkt (m) conic node,

cnic-nodeKegellehr e (f) angular or taper

gaugeK egelmantel ( m) lateral area, or

envelope, of a coneKegelpendel (n) conical pendulumKegelproj ektion (f) conic(al) pro-

j ectionKegelrumpf (m) frustum of a coneKegelschnitt (m) conic (section)

Kegelschnittpaar ( n) pair of conies

Kegelschnlittpunkt (m) point of a

conicKegelschnittscha r (f) family of

coniesKegelstumpf (m), Kegelstutz (m)

frustum of a coneKegelsystem (n) system of cones

Kehlkreis (m) circle of striction

Kehllinie (f) line of striction

Kehlpunkt (m) point of striction,

principal point

Kehrbild (n) inverted imageKehrelement (n) reversible cell or

elementKehrpunkt (m) cusp

Kehrwer t (m) reciprocal (value)

Keil (m) wedge; cuneus, dihedral

(angle), sphenoidkeilartig (a) wedge-likeKeilende (n) end of wedgeKeilform (f) wedge shape

keilformig (a) wedge-shaped,cuneiform, sphenoid

Keilkante (f) edge of dihedral or

wedgeKeilkoordinaten ( f p 1) dihedral co-

ordinates

58

Keilstiick (n) part of a wedgeKeilwinkel (m) dihedral angle

Kennkur ve ( f ) characteristic curveKennlinie (f) characteristic line

Kennlinienfeld (n) family of charac-teristics

Kennwert (m) characteristic value or

numberKennz ahl (f), Kennziff er ( f ) index;

characteristic (of logarithm); codeor key number

Kennz eichen (n) characteristic

kennz eichnen (vt) characterizeKennzeichnung ( f ) characterizationKeplerbahn (f), Keplerellipse ( f ) Kepler's

planetary orbit, elliptic orbit (of

a planet)

Keplerbewegung (f) Keplerian motionKern (m) kernel (of an integral equa-

tion, an operator), nucleus (of an

atom, an integral equation, a comet),core (of an atom, an induction coil)

Kernatom (n) nuclear atomKernaufbau (m) nuclear structure

Ker nb estandt eil (m) nuclear componentKerndich te ( f ) nuclear density

Kerndrehung ( f ) nuclear spin

Kernelektron (n) nuclear electron

Ker nenergie ( f ) nuclear energyKer nfl ache (f) nuclear surface (of a

polarity)

Ker ngrosse ( f ) magnitude or size of nuc-leus

Kernkraf t ( f ) nuclear force

Kernkurve ( f ) Steiner's nuclear curve(of a polarity), Steinerian curve

Kernladung ( f ) nuclear chargeKernladungszahl (f) nuclear- ch arge

numberKernphysik (f) nuclear physics

Kernschatten (m) full shadow, umbraKernspaltung ( f ) nuclear fission

Kernspin (m) nuclear spin

Kernz ahl (f) nuclear numberKerzenstarke ( f ) candle powerKette ( f) chainketten (vt) chainkettenartig (a) catenaryKettenbruch (m) continued fraction

Kettenbruchmethode (f) method of con-tinued fractions

Kettendi vision ( f ) continued division

Kettenflache ( f ) catenoidKettenglied (n) link of a chain

kettenformig (a) catenaryKettenindexzahl (f) Kettenindex

ziff er ( f ) chain index number,chain relative

Kettenlinie (f) catenary, chainetteKettenm atrix (f) iterative matrixKettenreak tion ( f ) chain reactionKettenrechnung ( f ) chain methodKettenregel (f), Kettensatz (m)

chain rule

Kettenstru ktur (f) chain structureKettenwachstum (n) chain growthKettenzahl (f) chain or link re-

lative

Kilogramm (n) kilogramKilogrammkalorie ( f ) kilogram

calorieKilohertz (n) kilocycleKilopond (n) kilogram weightKilowattstunde ( f ) kilo watt -hourKimm (m) horizonKimmabstand (m) distance of the

horizonKimmtiefe ( f ) dip of the horizonKinematik ( f ) kinematicskinematisch (a) kinematicKinetik (f) kinetics

kinetisch (a) kinetickippen (vt, vi) tilt

Kippmoment ( n) tilting momentKippung ( f ) tilting, tipping

Kippwinkel (m) angle of incli-

nation or tilt

Kissoide ( f ) cissoid

Klafter (f) fathom; cord or line (of

wood)Klammer (f) parenthesis; brace,

bracketKlammerausdruck (m) expression in

parentheses, braces, or brackets

Klammerbildung ( f ) formation of

parenthesesKlammergrosse ( f ) expression in

parenthesesKlammerprodukt (n) product of

expressions in parentheses

Klammerzeichen (n) quantifier

Klang (m) sound, tone

Klangbil d (n) acoustic pattern

Klangempf indung ( f ) sound percep-

tion

Klangfiille ( f ) sound volumeklanggetreu (a) high-fidelity

Klangi ntensitatsbereich (m) dynamicrange of sound

59

klappen (vt) revolve, rotate, turn

Klappung (f) revolving, turning

Klasse ( f ) class

Klassenbreite ( f ) class interval

Klasseneinheit ( f) class unit

Klassenein teilung ( f ) partition into

classes

Klassenende (n) class limit

Klassenfunktion ( f ) class functionKlassengross e ( f ) class interval

Klassenhaufigkeit ( f ) class frequencyKlassenk al kill (m) calculus of classes

Klassenkubik ( f ) class cubic (curve)Klassenkurve (f) curve as a tangent con-

struct, class curveKlassenmitte (f), Kl assenpunkt (m)

class midpoint or markKlassenquartik ( f ) class quartic (curve)Klassenreprasentant (m) class repre-

sentativeKlassensingularitat ( f ) class or line

singul ar ity

Klassensumme (f) class sumKlassenz ahl (f) class numberKlassifikation (f) classification

klassifizieren (vt) classify

Klassifizierung ( f ) classification

Kleeblattschlinge (f) boundary curve of

a Mobius strip

klein ( a) smallkleiner (a) less (than), smallerKleinbau (m), Kleingefiige (n) struc-

ture in the small, microstructureKleinheit (f) smallnessKleinkreis (m) small circle (on sphere)

Kleins teigenschaft (f) minimum prop-erty

Kleinstgeschwindigkeit (f) minimumspeed

Kleinstmass (n) minimum limit

Kleins trukt ur (f) structure in the small,

m icrostr uctur e

Kleins twert (m) minimum valueKlemme (f) clampKlemmebene ( f ) pinch planeklemmen (vt) clamp, pinchKlemmpunkt (m) pinph point

Klinoachse (f) clino diagonal axis, clino

axis

klinodiagonal (a) clinodiagonalKlinodiagonale ( f ) clinodiagonal axis,

clinoaxisKlinodom a (n) clinodomeKlinograph (m) clinograph

Klinopinakoid (n) clinopinacoidKlinoprisma (n) clinoprismKlinopyr amide (f) clinopyramidKlothoide (f)- spiral of Cornu,

clothoidKnick (m) sharp bend, salient

knick en (vt, vi) bend sharply;

fold

Knickpu nkt (m) corner or salient

point

Knickpu nktskur ve ( f ) curve-locusof s alient points

Kno te n (m) knot; (astr.) nodeKnotenkegels chni tt (m) nodal conicKnotenlinie (f) nodal line

Knotenpaar (n) node-coupleKnotenpunkt (m) node (of a curve)

kno tig (a) nodal, nodularkoaxial (a) coaxial, coaxalKochleoide (f) cochleoidKodenummer (f) code numberKoef f zi ent (m) coefficientKoeffizientenbereich (m) coeffi-

cient domainKoeffizientenbestimmung (f) deter-

mination of coefficients

Koeffizientendeterminan te (f) de-

terminant of the coefficients

Koeffizientendichte ( f ) coefficient

density

Koeffizientenmatrix ( f ) matrix of

the coefficients

Koeffizientensystem (n) system of

coeffici ents

Koeffizientenvergleichung ( f ) com-parison of coefficients

koexistent (a) coexistent

Koexistenz ( f ) coexistenceKofunktion ( f ) cofunction; comple-

mentary trigonometric function

kogredient (a) cogredientKogredienz (f) cogrediencekoharent (a) coherentKoharenz (f) coherenceKohasion (f) cohesionKohasionskraft ( f ) power of cohe-

sion

Kohasionsvermogen (n) cohesiveness

Kohlenspitzenkurve ( f ) bullet-nose

curvekohomolog (a) cohomologous.

k. Null: homologous to zero

koinzident (a) coincident

Koinzidenzpunkt (m) point of coin-

cidence

60

Koinzidenz ( f ) coincidencekoinzidier en (vi) coincidekollektiv (a) collective

Kollekti v (n) collective

Kollektivgegenstand (m) statistical

universeKollekti vmasslehre ( f ) theory of statis-

tical variables

Kollekti vreihe ( f ) statistical series

kollinear (a) collineatoryKollinearitat ( f ) collinearity

Kollineation (f) collineationKollision ( f ) collision

Kolonne ( f ) columnKolonnenindex (m) column indexKolonnenm atrix ( f ) column matrixKombination ( f ) combinationKombinationslehr e (f) theory of com-

binations, combinatorial theoryK ombinationsmethode ( f ) method of

combinationKombinationsprinzip (n) principle of

combina tion

Kombinationsschema (n) array of com-binations

Kombinationstheorie (f) theory of com-binations, combinatorial theory

Kombina torik (f) theory of combinationkombinatorisch (a) combinatorialkombini eren (vt) combineKombinierung (f) combinationkommensurabel (a) commensurableKommensurabilitat (f) commensura bil -

ity

Kommensurabilitatsbedingung (f) con-dition for commensurability

Kommunik ation (f) communicationKommunication (f) communicationKommutabilitat (f) commutabilitykom muta ti v (a) commutativeKommutativgese tz (n) commutative lawKommutati vitat (f) commu tativity

Kommutator (m) commutatorKommutatorgruppe ( f ) commutator groupKommutatoruntergruppe ( f ) commutator

subgroupkommutierbar (a) commutableKommutierbarkeit ( f ) commutabilitykompakt (a) compact.

k . im kl einen: locally compactKompaktigkeit ( f ) compactnessKompass (m) mariner's compass; range,

scopeKompass ablesung ( f ) compass reading

Kompasskorper (m) localized vectorgroup or system, fixed vectorconfiguration

Kompassna del (f) compass or mag-netic needle

Kompasspeilung (f) compass bearingKompassrose ( f ) compass card or rose

Kornpass-strich (m) compass pointKompasszeiger (m) compass needlekompatibel (a) compatibleKompatibilitat ( f ) compatibilityKompens ation (f) compensationKompensationspendel (n) compen-

sation pen du lumkompensieren (vt) compensateKompensierung ( f ) compensationkomplanar (a) coplanarKomplanation (f) complanationKompl ement (n) complementkomplementar (a) complementaryKomple me ntarmenge ( f) complemen-

tary set

Kompl em enta rmodul (m) comple-mentary modulus

Komplementarwinkel (m) comple-mentary an gle

Komplex (m) complexkompl ex (a) complexKomplexbereich (m) complex do-

mainkomplex -dual (a) complex-dualKomplexebene (f) complex plane

Kompl ex f la (she ( f ) complex surface

Komplexfunktion ( f ) complex func-

tion

Komplexion (n) complexion (of

elements)Komplexkegel (m) complex coneKompl ex koordinaten (fpl) complex

coordinatesKomplexkurve (f) complex curve

Komplexteiler (m) complex divi-

sor, complex factor

Komponente (f) componentKomponentenideal (n) component

ideal

Komponentenzahl ( f ) number of compon ents

komponier en (vt) composeKomposition (f) compositionKompositionsfaktor (m) composition

factor

Kompositionsreihe (f) composition

series

61

Komposi tu m (n) compositekompressibel (a) compressibleKompr essibilitat (f) compressibilityKompressibilitatskoeffizient (m) coef-

ficient of compressibilityKompr ession ( f ) compressionKompr essionsdauer (f) period of com-

pressionKompr essionskurve (f) compression

curveKompressionssatz (m) ratio of com-

pression

Kompr essions volu men (n) compressionspace

komprimierb ar (a) compressibleKomprimierbarkei t (f) compressibilitykomprimieren (vt) compressKonchoide ( f ) conchoidKondensation ( f ) condensationKondensationspunkt (m) condensation

pointKonfigur ation (f) configurationKonfigurationsanderung ( f ) change of

configurationKonfigurationseigenschaft ( f ) configu-

ration propertykonfinal (a) confinalKonfinalitat ( f ) confinalitykonfokal (a) confocalkonform (a) conformal, equiangularkongruent (a) congruentKongruenz ( f ) congruenceKongruenz ensys tern (n) congruence sys-

temKongruenzsatz (m) congruence theoremkonisch (a) conic, conicalKonizitat (f) conicitykonjugiert (a) conjugateKonjugierte ( f ) conjugatekonjugiert - Komplex (m) conj ugate- com

plex ( quantity)Konjunktion (f) conjunctionKonjunktionsglied (n) partial conjunc-

tion, conjunctkonjunktiy (a) conjunctivekonka v (a) concaveKonka vitat ( f ) concavitykonka v- konvex (a) concavo-convexKonka vlins e (f) concave lens

Konka vspiegel (m) concave mirrorKonoid (n) conoidkonstant (a) constantKonstantdehnung (f) constant expansionKonstante (f) constant

Konstantenmatrix ( f ) matrix of the

constants

Konstanz (f) constancyKonstituent (m) constituent

konstruierbar (a) constru ctible

Konstruierbarkeit (f) constructibil -

ity

konstruieren (vt) construct

Konstruktion ( f ) construction

Kontakt (m) contactKontaktf lache (f) contact surface

,

area of contactKontaktpunkt (m) point of contactKontingentkoef fizient (m) coeffi-

cient of contingencyKontingenz ( f ) contingencyKontingenzmass (n) coefficient or

measure of contingencyKon tingenz tafel (f) contingency

table

Kontingenz winkel (m) angle of con-tingence

Kontinuante (f) continuantkontinuier lich (a) continuousKon tinuita t (f) continuity

Kontinuitatsaxiom (m) axiom of

continuityKontinuitatsbeweis (m) proof of

continuityKontinuitatsgleichung (f) equation

of continuityKontinuita tsprinzip (n) principle

of continuityKontinuum (n) continuumKontinuumhypothese ( f ) continuum

hypothes is

Kontinuumproblem (n) continuumprobl em

kontinuum viel (a) of the power of

the continuumkontradiktorisch (a) contradictorykontr agre dient (a) contr agred.ient

K 6 n t r a g re dI enz (f) contragr edienceKontraktion (f) contractionKontraktionsbeiwert (m), Kontr ak-

tionskoeffizient (m) coeffi-

cient of contractionkontrar (a) contrary

kontra variant (a) contra variant

Kontra variante ( f ) contra variant

Kontra varianz (f) contr a variance

Kontrollapparat (m) control appara-tus

Kontrolle (f) check, control

62

Kontrollfrage ( f ) check questionkontrollieren (vt) check, controlKontrollmethode (f) checking methodKontrollnummer (f) code or key num-

ber

Konus (m) coneKonus winkel (m) cone angleKon vention (f) conventionkon ventionell (a) conventionalkon vergent (a) convergentKon vergenz (f) convergence.

K. im Mittel: convergence in the

mean, mean convergenceKonvergenzbedingung (f) condition for

con vergenceKon vergenzfaktor (m) convergence fac-

tor

Konvergenzinterval l (n) interval of

con vergenceKon vergenzkreis (m) circle of conver-

genceKon ver genzkriterium (n) test for con-

vergenceKonvergenznachweis (m) proof of con-

vergenceKonvergenzprinzip (n) convergence prin-

ciple

Konvergenzpunkt (m) point of conver-gence

Konvergenzradius (m) radius of con-vergence

Kon vergenzsa tz (m) convergence theo-rem

Kon vergenzschwierigkei't (f) convergencedifficulty

Konvergenzverhaltnis (n) convergenceratio or relation

Kon vergenzw inkel (m) angle of conver-gence

konvergieren (vi) convergekon vex (a) convexKon vexitat (f) convexitykon vex- konkav (a) convexo-concaveKonvexlinse . (f) convex lens

Kon vexspiegel (m) convex reflector or

m irror

Konzentration (f) concentrationKonzentrationsbereich (m) range of con-

centrationKonzentrations gefalle (n) concentration

gradientKonzentrationsverhaltnis (n) ratio of

concentrationkonzentrieren (vt) concentrate; (vi) be

concentrated, become intensified

konzentrisch (a) concentricKonzentrizitat (f) concentricitykonzyklisch (a) concyclicKoordinate ( f ) coordinate; vector

componentKoordinatenachse ( f ) axis of co-

ordinates, coordinate axis

Koordinatenanderung (f) change of

coordinatesKoordinatenanfang (m) origin of

coordinatesKoordinatenbeziehung ( f ) coordi.-

nate interrelationshipKoordinatendreibein (n), Koordinaten

dreikant (n) coordinate trihed-

ral

Koordinatendreieck (n) triangle of

referenceKoordinatenebene ( f ) coordinate

planeKoordina tengeometrie ( f ) coordi-

nate geometryKoordinateninvarianz ( f ) invari-

ance of coordinatesKoordinatenlinie ( f ) coordinate line

Koordinatenmethode (f) coordinatemethod

Koordinatennetz (n) coordinateframe, net of coordinates; mapgrid

Koordina tennullpunkt (m) origin of

coordinatesKoordinatenpapier (n) cross-section

paper, graph or ruled paperKoordinatenprinzip (n) coordinate

principle

Koordina tenraum (m) coordinatesp ace

Koordinatenrichtung (f) direction

of coordinate axis

Koordina tens eite ( f ) side of triangle

of referenceKoordinatenseitengleichung (f) equa-

tion of side of coordinate tri-

angleKoordinatensystem (n) coordinate

systemKoordinatentransformation ( f ) trans-

formation of coordinates

Koordin atentransformationsformel (f)

formula of transformation of co-

ordinatesKoordinatenursprung (m) origin of

coordinates

63

Koordinatenvektor (m) coordinate vec-tor

Koordinatenverhaltnis (n) coordinateratio

Koordinatenwahl (f) choice of coordi-n ates

Koordination ( f ) coordinationKoordinationsgitter . (n) coordinate lat-

tice or net

koordinieren (vt) coordinateKoordinierung (f) coordinationKopf ( m) head.

K. oder Schrift, K. oder Wappen:h ead(s) or tail( s)

Kopfrechnen (n) mental arithmetickop 1 anar (a) coplanarKoresidualgruppe ( f ) coresidual groupkoppeln ( vt) coupleKoppl un g (f) couplingKor oil ar (n) corollary

Kor per (m) body, solid; manifold;domain, field

Korperadjunktion ( f ) field adjunctionKorperdiagonal e ( f ) body diagonalKorperdiskriminante (f) field discrimi-

nantKo rperelement ( n) field elementKorper er weit er ung (f) field extensionKor pergrad (m) field degreeKorperinhaltsberechnung ( f ) cubature

of a solid

Korper kons tant e (f) body constantkorperlich (a) solid

Kor perm ass (n) cubical or solid measureKorpernetz (n) development of a solid

Korperober fl ache ( f ) surface (area) of

a body or solid

Korperstr ahl (m) corpuscular ray

Kor pers tiic k (n) piece of a solid

Korperstumpf (m) prismatoid, prismoidKorperwinkel (m) solid anglekorr ekt (a) correctKorrek thei t (f) correctnessKor rek tion ( f ) correctionKorrek tions-f a ktor (m) correction factor

Korrek tionsli ns e (f) correcting lens

Korrektur (f) correctionKorrek turglied (n) correction termKorrel ate (f) coefficient of correlation,

Gauss's correlateKorrelatenausgleichung (f) adjustment

of correlation, correlate adjustmentKorrel at engleichung ( f ) correlate

equation

Korrelatenverfahren (n) method of

correlates

Korrel ation (f) correlationKorrelationsflache (f) correlation

or frequency surfaceKorrelationsgleichung ( f ) correla-

tion equationKorrel at ionsindex (m)

corr el ation

Korrelationskoeffizientlation coefficient

Korrel ationstabel le ( f

)

table

Korrel at ions theorie ( f

)

theoryKorrelationsverhaltnis

index of

( m) corre-

correlation

correl ation

( n) correla-tion ratio

Korrelationsziffer ( f ) coefficientof linear correlation

korrelativ (a) correlativekorr elieren (vt) correlatekorreliert (a) correlatedKorres pondenz (f) correspondenceKorrespondenzprinzi p ( n) corres-

pondence principlekorr espondieren (vi) correspondkorrespondierend (a) corresponding,,

corr es pondentkorr igieren (vt) correctKosekans (m) cosecantKos ek anskur ve , Kosekanslinie ( f

)

cosecant curveKosekante ( f ) cosecantKosekantenkurve, Kosek antenlinie ( f

)

cosecant curvekosingular (a) cosingularKosinus (m) cosineKosinuskreis (m) cosine circle

(f)Kosinusliniesinusoid

Kosinusoide (f)

cosine curve, co-

= Kosinu slinie

Kosinuspunkt (m) cosine point

Kosinusr eihe ( f ) cosine series

Kos inuss a tz (m) cosine law

Kosinustafel ( f ) table of cosines

Kosinus versus (m) coversed sine,

coversinekosmisch (a) cosmicKos mogonie (f) cosmogonyKosmologie (f) cosmologyKosmos (m) cosmosKotangens (m) cotangentKotangenslinie ( f ) cotangent curve

Kotangente (f) cotangent

64

Kotangentenkurve,Kotangentenlinie (f)

cotangent curveKotangentenreihe ( f ) cotangent series

Kotangentensatz (m) cotangent lawKote (f) spot height (on map); z-co-

ordinatekotieren (vt) index a map with spot

height or altitude numberskovariant (a) covariantKovariante (f) covariantKovarianz ( f ) co varianceKovariation ( f ) covariationKraft (f) force; energy, powerKraftanteil (m) force componentKraftarm (m) force arm (of a lever)

Kra ftbez iehung ( f ) force or dynamicrelation

Kraftdruck (m) dynamic pressureKraf teaus gleich (m) force equilibriumKra ftebene ( f ) plane of forces

Kra fteck (n) polygon of forces

Kraftediagramm (n) diagram of forces

Kraftedr eieck (n) triangle of forces

Kraftefeld (n) force field

kraf tefrei (a) force-freeKraf tefunk tion ( f ) force functionKraftegleichgewicht (n) equilibrium of

forces

Krafteinheit ( f ) unit of forceKra fte - Komplex (m) complex of forces

Kraftekomponente ( f ) force compo-nent

Kraftelehr e (f) dynamicsKraftepaar (n) force coupleKraftepaar- Komplex (m) complex of

force couplesKra fteparallelo gram (n) parallelogram

of forces

Krafteplan (m) force polygon, diagramof forces

Kra ftepoly gon (n) = KrafteplanKraftesy stem (n) system of forces

Kraftezerl egung (f) decomposition of

forces

Kraftezusammensetzung ( f ) compositionof for ces

Kraftfeld (n) field of force

Kra ftf luss (m) flux of force

Kraftfunktion (f) force or power func-tion

Kraftgleichung ( f ) force equationKra ftgramm (n) force gramkraftig (a) powerful, strongKraftkomponente ( f ) component force

Kraftlehre ( f ) dynamicsKraftlinie ( f ) line of forceKraftmoment (n) moment of force,

turning mom en t

Kraftlinienbundel (n), Kraftlinien-

rohre (f) tube of lines of force

Kraftpol ygon (n) polygon of forces,

force polygonKraftpot ential (n) force potential

Kraftrichtung ( f ) direction or sense

of for ce

Kraftrohre ( f ) tube of force, powertube

Kraf tilbertragung ( f ) power transmis-

sion

Kraftvektor (m) force vector

Kraftwir kung ( f.) action of force

Kraftzentrum (n) center of force

Kraftzerlegung ( f ) decompositionof a force

Krankenversicherung (f) health in-

suranceKreis (m) circle; cycle (of Riemann

surface); (elec.) circuit

Kreisabschnitt (m) segment of a

circle

Kreisausschnitt (m) sector of a

circle

Kreisbahn (f) circular orbit or path

Kreisbahndurchmesser ( m) diameterof a circular orbit

Kreisbewegung ( f ) circular motionKreisbogen (m) circular arc

Kreisbogenpolygon (n) polygon com-posed of circular arcs

Kreisbiindel (n) bundle or sheaf of

circles

Kreisbiischel (n) pencil of circles

Kreisdiagramm (n) circular diagramor graph, pie chart

Kreisdrehung (f) rotation, revolu-

tion

Kreisdurchmess er (m) diameter of

a circle

Kreisebene ( f ) plane of a circle

Kreiseinteilung ( f ) circular gradu-

ation

Kreisel (m) spinning top, gyroscope,

gyro

Kreiselachse ( f ) axis of a top, gyro-

axis

Kreiselbewegung (f) gyroscopic mo-tion, gyration

Kreiselkompass (m) gyrocompass

65

Kreiselkraft (f) gyroscopic force

kreiselmagnetisch (a) gy romagneticKreiselmoment (n) gyroscopic or turn-

ing force

Kreiselp endel (n) gyro- p endu lumKreiselschwerpunkt (m) gyrocenterKreiselschwingung (f) gy ro -oscill ation

kreisen (vi) circle, circulate, revolve,rotate, kreisender Korper:rotating body

Kreise vol vente ( f ) involute of circle

Kreisflache (f) circular area

Kreisform (f) circularity

kreisformig (a) circular

Kreisfrequenz (f) angular velocity,

rotational frequencyKr eisfun ktion ( f ) circular or trigono-

metric functionKreisgeorri etrie ( f ) circle geometryKreisgleichu ng ( f ) equation of a circle

Kreish albmesser (m) radius of a circle

Kreisinh al t (m) area of a circle

Kreisint egral (n) circular integral

Kreisin version (f) circular inversion

Kr eiskegel (m) circular coneKreiskonchoide ( f ) conchoid of a circle

Kreiskoordinaten ( fp 1 ) circular coordi-nates

Kreiskorper (m) cyclotomic field

Kreisl auf (m) circular course; cyclekreislaufig (a) circular

Kr eislinie ( f ) circular line, circum-ference, circle

Kreismessung (f) cyclometryKreismittelpunkt (m) center of a circle

Kreisoff nung ( f ) circular apertureKreispendel (n) circular pendulumKreisp er ipherie ( f ) circumference or

periphery of a circle

Kreispolarisation, Kreispolarisierung (f)

circular polarizationkreispol arisiert (a) circularly polarizedKreisprozess (m) cyclic processKreispunkt (m) point of a circle; cir-

cular point (of surface)

Kreispunktasymptote ( f ) focoidal asymp-tote, one of a pair of asymptotesto the circular points at oo

Kreisquadrant (m) quadrant of a circle

Kreisrechenschieber (m) circular slide

ru le

Kreisring (m) circular ring, annuluskreisrund (a) circularKreisschar ( f ) family of circles

Kreisscheibe ( f ) circular disk

Kreisschnit t (m) circular sectionKreiss egment (n) segment of a circleKreiss ektor (m) sector of a circle

Kreiss ys tern (n) system of circles

Kreisteilun g (f) cyclotomyKreistei lungs gleichung (f) cycloto-

mic equationKreistei lungs korper (m) cyclotomic

field

Kreistei lungs polynom (n) cyclotomicpolynomial

Kreisumf ang (m) perimeter or circum-ference of a circle

Kreisumlauf (m) circulationKreisverwandtschaft (f) transfor-

mation which changes circles intocircles

Kreisviereck (n) quadrilateral in-

scribed in a circle

Kreis viertel (n) quadrant of a circle

Kreiszweieck (n) circular luneKreiszylinder (m) circular cylinderKreuz ( n) cross

kreuzen ( vt, recip.) cross, intersect

kreuzformig (a) cruciformKreuzgitter (n) crosswise lattice

Kreuzhaube ( f ) cross-cap surface,

closed Mobius bandKreuzhaub en korper (m) non-orient-

able or Mobius manifoldKreuz kurve (f) cross curveKreuzplan (m) cross-over design

Kreuzriss (m) side view, profile

Kreuzrissebene ( f ) profile planeKr euzung (f) intersection, crossing

Kreuzu ngspunkt (m) crossing point

kreuzweise (a) crosswise

Kristall (m) crystal

Kris tallachse ( f ) axis of a crystal

Kris tallanalyse ( f ) crystal analysis

kristallartig (a) crystalline

Kristallatom ( n) atom of a crystal

Kristallaufbau (m) crystal struc-

ture

Kristallber eich (m) crystal regionKristallbeschreibung (f) crystallo-

graphyKris tallbildung ( f ) crystal forma-

tion

Kristallbloc k (m) crystal blockKris talldicke ( f ) crystal thickness

Kris talldruse ( f ) cluster of crystals

Kristallebene ( f ) crys t allographic

plane

66

Kris tallendflache ( f ) terminal face of a

crystal

Kristallflache (f) face or facet of a

crys tal

Kristallform ( f ) crystal formKris tallgitter (n) crystal or space lat-

tice, crystal gratingKris tallgrupp e (f) crystal groupKristallhauptschnitt (m) principal sec-

tion of a cry sta 1

kristallin (a) crystalline

Kristallindividuum (n) individual crys-

tal

kris tallinisch (a) crystalline, crystalli-

formKris ta llisation

, Kristallisierung (f)

crys ta lliza tion

kris tallisierbar (a) crystallizablekris tallisieren (vt, vi) crystallizeKristallkante (f) crystal edgeKris tallklasse (f) crystal class

Kristallkunde (f) crystallographyKris tallmessung (f) cr y stallom etr y

Kristalloberflache (f) surface of a crys-

tal

Kris tallogr aphie (f) crystallographykristallographisch (a) crystal lographicKris tallometrie ( f ) crystall ometr y

kris tallometrisch (a) cry staliom etric

Kris talloptik ( f ) crystal optics

Kris tallrichtung (f) crystal orientationKris tallschicht ( f ) crystal layerKris tails chwingung ( f ) crystal vibration

or oscill ationKris tallspektrum (n) crystal spectrumKristallstab (m) crystal bar

Kris tallstruktur (f) crystal structure

Kris ta lis ymmetrie (f) crystal symmetryKris tails ystem (n) system of crystalli-

zation, crystal systemKristallwachstum (n) crystal growthKris ta 11 w in kel (m) crystal angleKristallwinkelmessung (f) crystal goniom

e tr v

Kris tallzon e ( f ) crystal zoneKris tallz willing (m) twin crystal

Kriterium (n) criterion, test

kritisch (a) critical.

kritischer Punkt: critical point (of

a curve, a function, a substance)krumm (a) curved; bent, twistedkrummen (vt, vr) bend, windkrummflachig (a) having curved surfacekrummlinig (a) curvilinear

Krummstab (m) lituus

Kru mmung (f) curvatureKriimmungsachse (f) axis of curva-

ture

Kriimmungsebene (f) osculatingplane

Kriimmungs element (n) curvatureelem ent

Krummung sform ( f) expression for

curvatureKriimmungshalbmesser (m) radius

of curvatureKrummungsintegr al ( n) curvature

integral

Kriimmu ngskegel (m) osculating coneKrummungskr eis (m) circle of cur-

vature, osculating circle

Kriimmungskurve (f), Krummungsli-nie (f) line of curvature (of a

surface)

Krummungslinienparameter (m)parameter of the lines of curva-ture

Krummungsmass (n) Gauss' measureof cur va tu r

e

Krummungsmesser (m) curvometerKru mm un gsmittelpunkt (m) center of

curvatureKriimmun gsmittelpunktkurve (f),

Kriimmungsmittelpunktslinie ( f

)

locus of centers of curvature,

e volu t e

Krummungsparameter (m) curvature

parameterKrummungsradius ( m) radius of

curvatureKrummungsrichtung ( f ) curvature

directionKrummungsskalar (m) curvature

scalar

Krummungsstreifen (m) curvature

strip

Krummungstensor (m) curvature ten-

sor

Krummungsverhaltnis (n) curvature

ratio

Krummungsvektor (m) curvature

vectorKriimmungswinkel (m) angle of con-

tingenceKubatur ( f ) cubature, cubing

kubier en (vt) raise to the third

power, cubeKubierung ( f ) raising to the third

power, cubing, cubature (of a solid)

67

Kubierungs formel (f) cubing formulaKubik ( f) cubic (curve, equation)Kubikberechnung (f) cubatureKubikdezimeter (n) cubic decimeterKubikflache (f) cubic surfaceKubikfuss (m) cubic foot

Kubikinhalt (m) cubic contents or ca-pacity, volume

Kubikinhaltsberechnung ( f ) cubatureKub ikmass (n) cubic measureKubikmeter (n) cubic meterKubik wurz el ( f ) cube root

Kubik wurz elaus Ziehen (n), Kubikwurz el

ausz iehung (f) extraction of cuberoot

Kubikzahl ( f ) cube of a number, cubicnumber

Kubikzentimeter (n) cubic centimeterKubikzoll (m) cubic inchkubisch (a) cubic, cubicalKubus

,(m) cube, hexahedron; cube,

third power (of a number)Kubus verdopplung (f) duplication of the

cubeKugel ( f ) sphere; ball, globeKugel abschnitt (m) spherical segmentKugel ausschnitt (m) spherical sector

Kugelbundel (n) bundle or sheaf of

spheresKugelbiischel (n) pencil of spheresKugelch en (n) globule, spheruleKugeldreieck (n) spherical triangle

Kugel en veloppe ( f ) spherical envelopeKugelflache (f) spherical surface, area

of sphereKugelform ( f ) ball shape, sphericity

kugelformig (a) sphere -shaped, globular,

sphericalKugelfunktion (f) spherical or harmonic

function, spherical harmonicKugelgeometrie ( f ) spherical geometryKugelgestalt ( f ) ball shape, sphericityKugelhaube (f) spherical capKugelhaufen (m) pile of spherical shot;

(astr.) globular cluster

kugelig (a) sphere-shaped, globular,

sphericalKugelinnere (n) interior of the sphereKugelinversion ( f ) spherical inversion

Kugelkalot te ( f ) , Kugelkappe ( f

)

spherical capKugel keil (m) spherical wedge or ungulaKugelkomplex (m) sphere complexKugelkoordinate ( f ) spherical coordinate

Kugellehre (f) sphericsKugelmutze (f) spherical capKugelnetz ( n) network of spheresKugeloberf lache (f) surface of

sphere, area of a sphereKugeloktant (m) octant of a sphereKugelpendel ( n) spherical pendulumKugelraum (m) spherical spaceKugelschale (f) spherical shell

Kugelschar (f) family of spheresKugelschicht ( f ) spherical segment

of two b as es

Kugels egm ent (n) spherical seg-

ment of one baseKugelsektor (m) spherical sector

Kugelsymmetrie (f) spherical sym-metry

kugelsymmetrisch (a) sphero-sym-metric

Kugel verwandtschaft (f) transforma-tion which changes spheres into

spheresKugelwelle (f) spherical wave; one

of a family of concentric spheres

Kugel winkel (m) spherical angleKugelzone ( f ) spherical zoneKugelzw eieck (n) spherical luneKulmina tion (f) culminationKulminationshohe ( f ) altitude of

culminationKulmina tionspunkt (m) culminating

pointkulminieren (vi) culminateKul minierung ( f ) culminationKulpschekonchoide (f) Kiilp's

conchoidKumulation (f) accumulationk u n s 1 1 ilTh (a) artificial.

kiinstliche Logarithmen: Briggs

or common logarithmsKurskreisel (m) gyrocompassKurve ( f ) curveKurvenachse ( f ) axis of a curveKur venanpassung (f) curve fitting

Kur venast (m) branch of a curveKur venbahn (f) curved path

Kurvenbild (n) graph

Kurvenbogen (m) arc of a curveKurvenbiindel (n) bundle or sheaf

of curvesKurvenbuschel (n) pencil of curves

Kurvendarstellung (f) curve tracing

Kurvendiskussion ( f ) curve discus-

sion

68

Kurvendreieck (n) curvilinear triangleKurvenelement (n) curve elementKur venerzeugung ( f ) generation or con-

struction of curvesKurvenfamilie (f) family of curvesKurvenfl ache ( f ) area under the curveKur venfolge (f) series of curvesKur venform (f) form of curve, form of

equation of curveKur venglattung ( f ) curve smoothingKurvengleichung (f) equation of a curveKurvenin tegral (n) curvilinear integralKur veninvariante (f) curve invariantKurvenkongruenz ( f ) congruence of

curvesKur venlehr e (f) theory of curves; curve

gaugeKur venlineal (n) curved ruler

Kur venlinie (f) curved lineKur venm esser (m) curvometerKur vennetz (n) net of curvesKurvenpaar (n) pair of curvesKur venp apier (n) graph paperKur venpoly gon (n) curvilinear polygonKur venpun kt ( m) point of a curveKur venrechteck (n) curvilinear rectangleKurvenschar ( f ) family of curvesKur venschiefe ( f ) curve skewness, allo-

kurtosis (of frequency curve)Kur venstiick (n) segment of a curveKurvensy stem (n) system of curvesKur ventheorie ( f ) curve theoryK

u

rvenverlauf (m) course of a curveKur venviel eck (n) curvilinear polygonKurvenvier eck (n) curvilinear quadri-

lateral

Kurvenzerlegung (f) analysis of a timeseries

Kur venzug (m) part of a curve, curvi-linear path or circuit

Kur venz weig (m) branch of a curvekurz (a) short

Kiirze ( f ) shortness, der Kurze halber :

for brevitykurzen (vt) shorten; reduce (a frac-

tion)

Kur zung ( f ) shortening; reduction (of

a fraction)

Kurzwelle (f) short wavekurz wellig (a) short wave

labil (a) unstable, labileLabilitat (f) instability, lability

Labilitatszustand (m) state of in-stability or ^ability

lacunar (a) lacunal, lacunarladen (vt) load, chargeLadung (f) charge, loadL adungsdichte (f) density of chargeLadungsf ahigkeit ( f ) cubic capacity;

tonnageLage (f) location, positionLagebestimmung (f) determination

of positionL agebez iehun g ( f ) relation of posi-

tion, topological relation

Lagekoordinaten (fpl) positioncoo rdina tes

lagemassig (a) positional

Lagen anderung ( f ) change of posi-

tion

lagenrichtig (a) positionally correctLageregel ( f ) position rule

Lambda (n) Greek letter lambda( A, X)

lamellar (a) lamellar, laminatedLamelle ( f ) lamella, laminalamell enformig (a) lamellar, lamel-

liform1 am el lier en (vt) laminateLaminierung (f) laminationLandesaufnahme (f), Lan des verm es-

sung ( f ) geodetic or land sur-

veyLand karte (f ) mapLandkartenkunde (f) cartographyLandmass (n) surveyor's measureLandmesser (.m) surveyorLandmessung ( f ) land surveyinglang (a) long

Lange (f) length; (astr., geog.)

longitudeLangenabweichung (f) longitudinal

deviationLangenausdehnung ( f ) linear dimen-

sion; elongation, linear expan-sion

L angenaus dehnungs koef f izient (m) co-

efficient of linear expansion

Langenberechnung ( f ) linear measure'

ment or computationLangendichte (f) linear density

Lange ndimension (f) linear dimen-sion

Langendurchschnitt (m) longitudi-

nal section

Langeneinheit (f) unit of length

69

Langeneinteilung ( f ) length graduationLangenfehler (m) longitudinal error

Langengrad (m) degree of longitudeLangenkreis (m) circle of longitude,

meridianL angenmass (n) linear measureL angenm essung (f) linear measurement;

(geog.) measurement of longitudeL a n genmetazentrum (n) longitudinal

m etacenterLangenprofil (n), Langenquerschnitt (m)

longitudinal section

L angenrich tung (f) longitudinal direc-

tion

langentreu (a) equidistant, length-pre-serving

L angentr eue ( f) preservation of lengthL an genii bertragung (f) length transfe-

renceLangenunterschied (m) difference in

length; difference in longitudelanglich (a) elongated, oblonglanglichru nd (a) oval

Langsachse (f) longitudinal axis

L angsans icht (f), Langsau friss (m)longitudinal view

Langsausdehnung (f) linear dimension;elongation, linear expansion

Langsbeanspruchung (f) longitudinalstress

Langsbewegung ( f ) longitudinal move-ment

Langsdehnung (f) longitudinal strain or

stretch

Langsdil at ation ( f ) longitudinal dila-

tion

Langsdoma (n) brachydomeLangsdruck (m) longitudinal pressure

L angsf eld (n) longitudinal field

Langs kraf t ( f ) longitudinal force

L angsprofi 1 (n) longitudinal profile

Langsrichtung (f) longitudinal directionL angsschnitt (m) longitudinal sectionLangssch wingung (f) longitudinal os-

cillation or vibrationLangsspannung (f) longitudinal tension

Langssteife ( f ) longitudinal rigidity

Langstwelle (f) m aximu m - length waveLangsvergrosserung (f) longitudinal

magnificationLangsverschiebung ( f ) longitudinal dis-

placementLangswelle (f) longitudinal waveLangswellenbereich (m) long-wave range

langwellig (a) long-waveLastarm (m) lever arm to which

load is appliedLauediagramm (n) Laue diffrac-

tion patternL auefleck (m) Laue spot

Lauf (m) course, run

laufen (vi) run; revolve (about a

center)

Laufer (m) cursor (of slide rule)

Laufrichtung ( f ) direction of pro-gress

Lauf w eg (m) path of movementLaufzeit ( f ) running timeLebensdauer (f) life spanLebenserwartung (f) life expectancyLebensrente ( f ) life annuityL ebens vers icherung ( f ) life insur-

anceLe bensversicherungspolice (f) life

insurance policyLebens w ahrscheinlichk eit (f) life

expectancyleer (a) empty, null, voidLeere ( f ) emptiness, voidLeerheit (f) emptinessLeerstelle ( f ) argument place (of

a functional symbol)legen ( vt) lay, place; pass

Lege verf ahren (n) hand sorting

Lehrdorn (m) internal- caliper gaugeLehre ( f ) doctrine, theory

Lehre ( f ) gaugeLehrenablesung ( f ) gauge readingLehrentoleranz ( f ) gauge toleranceLehrmutter ( f ) receiving or tem-

plate gaugeLehrsatz (m) proposition, theorem,

thesis

Leibrente (f) life annuityLeis tung ( f ) output, performance;

powerL eis tungabgabe ( f ) power outputLeistungsaufnahme (f) power con-

sumptionLeis tungsbereich (m) range of

capacityLeistungsdiagramm (n) performance

chart

Leis tungseinheit (f) unit of powerLeistungsentnahme (f) energy or

power outputleistun gsfahig (a) efficient

Leistungsfahigkeit ( f ) efficiency

70

Leis tungskurve ( f ) performance curveLeistungsschaubild (n) performance

chart, power diagramLeistungsverhaltnis (n) power ratio

Leistungsvermogen (n) working capacityLeitebene (f) director planeleiten (vt) conductLetter (m) conductorLeiter ( f ) scaleL eit er tafel (f) alignment chart, nomo-

gramleitfahig (a) conducting, conductiveLeitfahigkeit ( f ) conductivityLeitflache ( f ) director surfaceLeitgebilde (n) directorLeitkegel (m) director coneLeitkr eis (m) circle-locus of intersec-

tion of focal radius of a point of

central conic and the perpendicularfrom center on tangent at that point

Leitkurve (f), Leitlinie (f) directrix

Leitstrahl (f) radius vector, focal radius

Lemniskate ( f ) lemniscateLemniskatenkoordinaten (fpl) lemniscate

coordinatesletz

t

( a) last

Libelle (f) levelLibr ationsgrenz e ( f ) libration limit

Licht (n) light

licht (a) bright, light; inside

Lichtabgabe (f) emission of light

Lichtablenkung (f) deflection of light

Lichtaquivalent (n) equivalent of light

Lichtart ( f ) kind of light, light typeLich ta ther (m) luminiferous ether

Lichtausstrahlung (f) radiation of light

Lichtbahn (f) light path.Licht bogen (m) light arc

Lichtbogenschwingung ( f ) oscillation of

light arc

Lichtbiindel (n), Lichtbiischel (n) pen-cil or beam of light

Lichtbundelachse ( f ) axis of light beamLichtdichte ( f ) light densityLich tdru ck (m) pressure of light

Lichteinfall (m) incidence of light

Lichteinheit ( f ) light unit, photometricunit

lichtelektrisch (a) photoelectricLichtelektrizitat ( f ) photoelectricityLich telem ent (n) element of light

lichtempfindlich (a) light-sensitiveLichtempfindlichkeit (f) sensitiveness

to light, photosensitivity

Lichtempfindung (f) sensation oflight

Lichterscheinung ( f ) light effect or

phenomenonLichtfleck (m) light spot

Lichtfortflanzung ( f ) propagation or

transmission of light

lichtgebend (a) light- emittingLichtgeschwindigkei t (f) velocity

of light

Lichtintensitat ( f ) light intensity

Lichtintensitatsschwankung (f) light-

intensity variation

Licht jahr (n) light yearLichtkegel (m) light coneLichtlehre ( f ) theory of light

Lichtlehr e (f) inside caliperLichtmesser (m) photometerLich tm essung (f) measurement of

light, photometryLichtpunkt (m) light point or spot

Lichtquantum (n) light quantum,photon

Lichtquelle (f) source of light

Li chtrichtung (f) light direction

Lichtschwingung (f) light oscillation

or vibrationLichtstarke ( f ) light intensity

Lichtstrahl ( f ) ray of light

Lichtstrahlenbilndel (n) beam of

light, bundle or pencil of rays

of light

Lichts trahlung (f) radiation of light

Lichtstreuun g (f) diffusion or scat-

tering of light

Lichtteilchen (n) photonLichttheorie ( f ) theory of light

Lichtverteilung ( f ) distribution of

Lichtverteilungskurve ( f ) light dis-

tribution curve, isophote

Lichtvektor (m) light vector

Lichtweg (m) light path

Lichtwegdifferenz (f) light path

differenceLichtwelle ( f ) light waveLichtwellenzug (m) light-wave train

Lichtwirkung ( f ) action of light

Lichtze rlegung ( f ) decomposition of

light

Lichtzerstreuung (f) diffusion or

dispersion or scattering of light

liegen (vi) be situated, lie

71

Limes (m) limit.

L. im Mittel (limes in medio):limit in the mean (l.i.m.)

Limesoperation ( f ) limit operationLimespunkt (m) limiting pointLimeszahl ( f ) limit numberLimeszahlargument (n) argument of

limit numberLimeszahlindex (m) limit number sub-

script

Limeszahlordnung ( f ) limit number order

Limeszahltyp (m) limit number typeLimitationsbewegung (f) limiting mo-

tion

Lineal (n) ruler, straightedgelinear (a) line, linear

Linearbeschleunigung ( f ) linear accele-ration

Linear faktor ( m) linear factorLinear form (f) linear formLinearformenmodul ( m) module of linear

formLinearfunktion ( f ) linear functionLineargeschwindigkeit (f) linear veloc-___

Linear gleichung (f) linear equationLinearitat ( f ) linearity

Linearkombination ( f ) linear combi-n ation

Linearmantel (m) linear envelopeLinearmass (n) linear measureLinearm assstab (m) linear scaleLinearperspektive ( f ) linear perspec-

tive

linearpolarisiert (a) plane- polarizedLinearschrumpfung ( f ) linear shrinkageLinearvergrosserung (f) linear magni-

fication

Lineatur ( f ) ruling (of lines)

Linie (f) line; curve, straight line

Linienabstand (m) distance of or be-tween lines

Linienanhaufung ( f ) accumulation of

lines

Linienaufspaltung (f) line splitting (in a

spectrum)Linienbezeichnung (f) designation

of lines

Linienbreite ( f ) breadth or width of

line

Liniendiagramm (n) line chart or

graphLinienelement (n) arc or line ele-

ment; point plus direction,

directed line

Linienfolge (f) series of lines

Liniengebilde (n) line configurationLiniengeom etrie (f) line geometryLiniengesetz (n) law of (spectral) lines

Linienintegral (n) line integral

Linienkomplex ( m) complex of lines,

line or linear complexLinienkong ruenz (f) line or linear con-

gruenceLinienkoor dinate ( f ) line coordi-

nateLiniennetz ( n) net(work) of lines,

grid

Linienpaar (n) pair of lines

Linienperspective ( f ) linear per-

spectiveLinienraster (m) ruled grating or

lattice

linienreich (a) having a great manylines

Linienschema (n) line chart or graphLiniensingularitat ( f ) line sin-

gularity

Linienspektrum ( n) line spectrumLinienstruktur (f) line structure

Liniensumme ( f ) linear sumLinientypus (m) type of lines

Linieniiberschneidung ( f ) intersec-

tion of lines

Linienumkehr ( f ) line reversal

Linien verlauf (m) course of the lines

Linien vers chiebun g ( f ) displacementof lines

Linienzug (m) path composed of

lines

linieren (vt) line, rule

Linierung (f) ruling

liniieren (vt) line, rule

Liniierung (f) ruling

link (T) left, left-hand

links (adv) on or to the left

Linksablenkung ( f ) deflection to the

left

Linksansicht ( f ) left-side viewLinksdrall (m) left-hand twist

linksdrehend (a) levorotatory

Linksdrehung ( f ) levorotation

linksgangig (a) left-handed, sinis-

trorse

linksgelegen (a) left, left-hand

linksgerichtet (a) left-handedLinksgewinde (n) left-handed thread

linksgewunden (a) left-handed, sinis-

trorse

72

Linksideal (n) left ideal

Linksinverse (f), Linksin verses (n) left

inverseLinkslauf (m) running left, counter-

clockwise rotation

linkslaufend (a) left-moving, counter-

clockwiseLinksmultiplikation ( f ) pre-multipli -

cationLinksmultiplikatorenbereich (m) left

multiplicative domainLinkspol arisation (f) left-handed pola-

rization

linksschief (a) right (or positive) skewLinkss chraub e (f) left-handed screwLinksschraubung (f) left or negative

turn(ing)

linkss eitig (a) left-side, left-hand,

left

linkssteil (a) = linksschief

Linkssystem (n) left-hand systemlinkswendig (a) left-handed, sinistrorse

Linse (f) lens

Linsenabweichung (f) aberration of lens

Lins enachse (f) axis of lens

Lins en fehl er ( m) lens error

linsenformig (a) lenticular, lentiformLinsenkombination (f) combination of

lens es

Lins enof fnung (f) lens aperture

Linsenscheib e (f) lenticle'

Lins enscheitel (m) lens vertex

Lipschitzbedingung ( f ) Lipschitz con-dition

Liquiduskurve (f) liquidus curve or line

Liss aj ous ( N) Liss a j oussche Bahn:

Lissajous orbit or path = Lissaj ous-

BahnLissaj ousbewegung (f) Lissajous motionLissaj ousfigur (f), Lissaj ouskurve (f)

Lissajous curve or figure

Liter (n,m) liter, litre

Lithosphare (f) lithosphereLituus (m) lituus

Loch (n) holeLochkarte (f) punch card

Lochlehre (f) internal - caliper or plug

gaugeLochscheibe (f) perforated disk

Lochung ( f ) perforation

Loganthmand (m) antilogarithmLogarithmenpapier (n) logarithmic

coordinate paperLogarithmensystem (n) logarithmic

system

Logarithmentaf el ( f ) logarithm or

logarithmic table

logarithmieren (vt) take logarithmsLogarithmierung (f) taking loga-

rithmslogari thmisch (a) logarithmicLogarithmus (m) logarithmLogik ( f ) logic

Logiker (m) logicianLogikkalkiil (m) logical calculus,

mathematical or symbolic logic,

logistic

logisch (a) logicalLogistik (f) = Logikkalkiil

Lokalisation ( f ) localizationlokalisieren (vt) localizelokalisiert (a) localizedLokalisierung ( f ) localization

lokalzusammenhangend (a) locally

connectedlongitudinal (a) longitudinal

Longitudinale (f) catenary of uni-

form strength

Longitudinalitat (f) longitu dinality

Longitudinalschwingung ( f ) longi-

tudinal vibration

Longitudinal welle ( f ) longitudinal

waveLoran ( n) loran

Lorentzkontraktion ( f ) Lorentz con'

traction

Lorentzkon vention (f) Lorentz con

(f) curve of equal dis-

ventionLorenzkur ve

tribution, Lorenz curvelosbar (a) soluble, solvable

Losbarkeit ( f ) solvability

losen (vt) solve; untie (a knot);

net (as rece ipts)

loslosen (vt) detach, separate

Loslosung (f) detachment, separa-

tion

Losung (f) solution

Losungensystem (n) system of solu-

tions

Losungskurve (f) required curve

Losungssystem (n) system of solu-

tions

Losungswert (m) required value,

solution

Lot (n) normal, perpendicular;

plumblotrecht (a) perpendicular, plumb,

vertical

Loxodrome ( f ) rhumb line, loxodrome

73

loxodromisch (a) loxodromicLiicke ( f ) gap, lacuna; break, discon-

tinuity

Luc kenausfullung ( f ) filling of a gapLuckenausfiillungsatz (m) gap-filling

theoremLuckenbereich (m) gap regionLuckeneleme nt ( n) gap elementLuckensatz (m) gap theoremLuckenspektrum (n) gap spectrumLiickensprung (m) gap jump, discon-

tinuityLuc kentest (m) gap test; (statist.) g a p -

and -struggler test

Ludolph ( N) Ludolphische Zahl:Ludolphian number, the number it

Lumen (n) lumenluminesz ent (a) luminescentLumineszenz ( f ) luminescencelumineszieren (vi) luminesceLux (n) meter- candle, lux

MMach ( N ) Machsche Zahl; Mach numberMachtlgkeit (f) cardinality, potency,

pow er

Machtigkeitsbeziehung (f) cardinalityrelationship

Maclaurin ( N) Maclaurinsche Reihe;Maclaurin series

magisch (a) magic.magische Gleichung: magical equa-tion: magisches Quadrat: magicsquare

Magnet (m) magnetMagnetbundel (n) compound magnetMagnetelektrizitat ( f ) magnetic elec-

tricity

Magnetfeld (n) magnetic field

Magnetinduktion (f) magnetic induc-tion

magnetisch (a) magneticm agnetisierbar (a) magnetizableMagnetisierbarkeit ( f ) m agnet izability

m agnetisieren (vt) magnetizeMagnetisierung (f) magnetizationMagnetisierungskraft (f) magnetizing

forceMagnetisierungskurve (f) magnetization

curveMagnetismus (m) magnetismMajorante (f) majorant, upper bound

(of a set)

Majoritat (f) majority

Makroachse (f) macroaxismakrodiagonal (a) macrodiagonalMakrodiagonale (f) macrodi agonal axis

Makrodoma (n) macrodomeMakrokosmos (m) macrocosmMakropinakoid (n) macropinacoidMakroprisma (n) macroprismMakropy ramide ( f ) macropyramidMakrostatistik (f) m acrosta tistics

Mai (n) time(s)mal (suffix) multiplied by, timesmalnehmen (vt) multiply (by a factor)

Malzeichen (n) multiplication sign

Mangel (m) defect, shortcomingmangelhaft (a) defective, faulty

Mangelhaftigkeit ( f ) defectiveness,deficiency

mannigf ach (adv) in many w. ays

mannigfach (a) manifold, various

m anni gf altig (a) manifold, varied

Mannigf altigkeit (f) manifold;variety

Mannigfaltigkeitsstufe (f) rank of a

manifoldMantel (.m) envelope; lateral area

(of a cone, a cylinder, a prism,

a pyramid); nappe or sheet (of

curved surface)

Man telf lache ( f ) = MantelMantellinie (f) element or generatrix

( of a ruled surface)

Mantisse (f) mantissaMantissendifferenz (f) mantissa dif-

ferencemarkieren (vt) mark, tag

Masche (f) meshMaschenweite (f) mesh widthmaschig (a) reticular

Mas chine (f) engine, machinemaschinell (a) mechanical, machineMaschinerie (f) machineryMass (n) measure; ratio, rate; gaugeMassabweichung (f) deviation from

size

Massanderung ( f ) change in dimen-sions

Massbegrif f (m) concept of measuremassbestandig (a) constant in size or

dimensionMassbestimmung (f) determination of

measure, metric determinationMassblatt (n) dimensional specifi-

cations

Masse ( f ) mass, quantity

74

massefrei (a) free of mass, masslessMasseinheit (f) unit of measureMasseinteilung (f) graduationmasselos (a) masslessMassenanderung ( f ) mass variationMassenanziehung ( f ) mass attractionMassenanziehungsgesetz (n) law of

mass attraction, law of gravityMassenaquivalent (n) mass equivalentMassenausgleich (m) mass compensation,

isostasy

Massenbegriff (m) concept of massMassenbeschleunigung (f) mass accele-

ration

Massendichte (f) mass densityMasseneinheit (f) unit of massMassenelement (n) element of massMassenerhaltung (f) conservation of

massMassenerscheinung ( f ) mass phenomenonmass enfrei (a) free of mass (particles),

masslessMassenkompensation ( f ) mass compen-

sation

Massenkraft ( f ) inertial forceMassenmittelpunkt (m) center of mass,

centroidMass enmom ent (n) moment of massMassenpunkt (m) mass element or pointMassenschrumpfung ( f ) mass reduction

or shrinkageMassenschwerpunkt (m) center of massMassensingularitat ( f ) mass singularityMass enspektrum (n) mass spectrumMass ensys tern (n) mass systemMass enteilchen (n) mass particle or

element, differential massMass entragheit (f) mass inertia

Massentragheitsmoment (n) mass mo-ment of inertia

Massenveranderlichkeit (f) variabilityof mass

Massen vergleich (m) comparison of

massMass en verteilung (f) distribution of

massMassen wirkung (f) mass actionMassenwirkungsgesetz (n) law of mass

actionMassenwirkungsgle ic hung ( f ) mass ac-

tion equationMassenzentrum (n) center of massMass enzunahme (f), Massenzu wachs (m)

mass increase or increment

Massfunktion (f) function of measuremassgebend (a) decisivemassgleich (a) isometricMassgleichheit ( f ) isometryMassgrosse ( f ) measuring quantity,

measurement; dimensional or

measureable quantityMasskunde (f), Masslehre (f) metrol-

ogyMassproblem (n) problem of measureMass -stab (m) measuring rod, yard-

stick; scale of measurementMass -stabfehler (m) scale errormass -stabgerech t , mass -stabge treu (a)

true to scaleMass -stabkarte (f ) scale chart or mapmass-sta'blich (a) in or to scale

Mass-stabverhaltnis (n) scale ratio

Mass-system (n) system of measure or

measurementMasstensor (m) measuring tensorMass theorie (f) theory of measureMassz ahl (f) measure index, coeffi-

cient of m easureMaterial (n) materialMaterialfestigkeit (f) strength of

materialsMaterialprufung (f) testing of mate-

rials

Materie ( f ) matter

materiefrei (a) free of matterMateriegrenze (f) boundary of mattermateriell (a) materialMateriew elle ( f ) matter waveMathemati k (f) mathematicsMathematiker (m) mathematicianmathematisch (a) mathematicalMatrix ( f ) matrixMatrixelement (n) matrix elementMa trixpr odukt (n) matrix productMatrizenalgebr a (f) matrix algebraMatrizenelement (n) matrix elementMa triz en kalkiil (m) matrix calculus

Matrizenmechanik (f) matrix mechan-ics

Matrizenprodukt (n) matrix productMatrizenring (m) matrix ring

Matrizensy st em (n) system of matri-ces

maximal (a) maximal, maximumMaximalablenkung ( f ) maximal de-

flection or deviationMaximal abweichung (f) maximal

deviation

75

Maximalamplitude ( f ) maximum ampli-tude

Maximalf ehler (m) maximum error

Maximalgef alle (n) maximum gradientMaximalgeschwindigkeit ( f ) maximum

speedMaximalintervall (n) maximal interval

Maximalspannung (f) maximum tension

or voltageMaximalsumme ( f ) maximal sumMaximalsys tern (n) maximal or maxi-

mum systemMaximalwert (m) maximum valueMaximum (n) maximumMaximum kurve (f) curve of the maxi-

mumMechanik ( f ) mechanicsmechanisch (a) mechanicalMechanismus (m) mechanismmedian (a) medianMediane ( f ) medianMedium (n) medium; Medien ( pi)

media, mediumsMeereshohe ( f ) height above sea level

Meer esspiegel (m) sea level

Meeres tiefe ( f ) depth of the sea

Megahertz (n) megacyclemehr atomig (a) polyatomicmehrbasisch (a) polybasicmehr deut ig (a) ambiguousMehr deut igk ei t (f) ambiguitymehr dimens ional (a) multidimensionalMehr dimensionality ( f ) multidimen-

sionality

mehr eindeu tig (a) many-to-onemehr fach (a) multiple

m. monotone Funktion: multimono-tonic function

mehr fa ch (adv) repeatedlyMehr fachbil d (n) multiple imageMehrf ache(s) ( n) multipleMehrfachheit (f) multiplicityMehrfachkorrelation ( f ) multiple cor-

relation

Mehr fachsprung (m) multiple jumpmehr gipf elig (a) multimodalmehrgliedrig (a) polynomial; multi-

link; multimember, multiparametermehrkantig (a) multiedgedMehr kantprisma (n) polyhedral prism

mehr kernig (a) polynuclearmehrmalig (a) repeatedmehrmals (adv) several times, repeat-

edly

mehrmehrdeutig (a) many -to-manymehrphasig (a) polyphasemehrpolig (a) multipolarmehrseitig (a) multilateralmehrstellig (a) multiplacemehrstufig (a) multiplemehrwer tig (a) many-valued, mul-

tiple- valuedMehrwertigkeit ( f ) multiple- valued-

ness, multiplicityMehrz ahl (f) plural; majority, plu-

rality

mehrzylindrig (a) multicylinderMeile ( f ) mileMeilenz ahl (f) mileageMenge (f) quantity; aggregate, as-

semblage, or set (of elements)Mengenaxiom (n) axiom of sets

Mengenbegrif f (m) concept of a set

Men genber eich (m) set domainMen genbil dung ( f ) formation of sets

Mengeneinheit ( f ) unit of quantityMengenfunktion ( f ) set functionMengenkomplex (m) set complexMengenkorper (m) set domain or

field

Mengenlehre ( f ) theory of sets, set

theorymengenmassig (a) quantitativeMengensystem (n) system of sets

mengentheor etisch (a) set- theoreti-

cal

mengentheor etisch - logisch (a) set-

theoretic logicalMengenverhaltnis (n) quantitative

ratio; (statist.) quantity relative

Meniskus (m) meniscusmeniskusformig (a) meniscoidMercatorproj ektion ( f ) Mercator pro-

jectionMeridian (m) meridianMeridianbogen ( m) arc of the merid-

ian

Meridiandistanz (f) meridian distance

Meridiandurchgang (m) meridian tran-

sit (of a star)

Meridianebene ( f ) meridian planeMeridianfigur (f) meridian figure

Meridiankreis (m) meridian (circle)

Meridiankurve (f) meridian curveMeridianlange (f) meridian length

Meridianschnitt (m) meridian sec-

tion

meridional (a) meridional

76

Meridionalschnitt (m) meridional or

meridian sectionMerkatorprojektion (f) Mercator pro-

jection

Merkmal (n) attribute, trait

Merkmalsbetrag (m) statistical valueMerkmals variable (f) statistical vari-

able, variate

Merkta fel ( f ) score, tally

Merkur (m) MercuryMerkurperihel (n) perihelion of Mer-

cury

Merkurperihelbewegung (f) motion of

the Mercury perihelionMeroeder (n) merohedronMeroedrie (f) merohedrismmeroedrisch (a) merohedralmeromorph (a) meromorphicMeson (n) mesonMesonenbahn (f) meson track

Mesotron (n) meson, mesotronMessband (n) measuring tapeMess bar (a) measurableMess barkeit (f) m easurabilit y

Messbereich (m) measuring rangeMesseinheit (f) measuring unit

Mess ein teilung ( f ) graduationm ess en (vt, vi) measureMesser (m) meter; measurerMess feh ler (m) measuring error

Messgenauigkeit (f) accuracy of meas-urement

Mess gera t (n) measuring deviceMess grenz e ( f ) limit of measurementMessgross e (f) quantity to be measuredMess instrument (n) measuring instru-

mentMesskette (f) surveyor's chain

Messketten glied (n) surveyor's link

Messkunde (f) metrologyMess kunst (f) mensurationMesslehre (f) measuring caliper or

gaugeMess methode (f) measuring methodMe ss -schr au be (f) measuring screwMessung (f) mensuration, measurementMess verfahr en ( n) measuring system or

methodMess vorrich tung ( f ) measuring apparatus

Messwerkzeug (n) measuring device or

instrumentMess wesen (n) mensuration, metrologyMess zahl ( f ) measured value; (statist.)

in dex number

Messziff er (f) index numberMesszirkel ( m ) dividersMesszylinder (m) graduated or meas-

uring cylinderMetamathematik (f) metamathematicsmetamathematisc h (a) metamathe-

m atic al

Metaphysik ( f ) metaphysicsmetaphysisch (a) metaphysicalMetatheorie ( f ) metatheorym etaz entrisch (a) metacentricMet az entrum ( n) metacentermetazyklisch (a) metacyclicMeter (n, m) meter, metreMeterkerze (f) meter candle, lux

Metermass ( n) metric measureMetersekunde ( f ) meter per secondMetertonne (f) metric ton

Meterzentner (m) metric centner

Methode (f) methodMetrik (f) measurement, metric(s)

metrisch (a) metric(al)Metrologie (f) metrologyMetronom (n) metronomeMe tronompendel (n) metronome pen-

dulumMiederflache ( f ) hyperboloid of one

sheet

Mikrobe wegung ( f ) micromotionMikiometer (n) micrometerMikron (n) micronMikrosekunde (f) microsecondMikroskop (n) microscopemikroskopisch (a) microscopicMikrostatistik (f) micros ta tis tics

Mikrowelle ( f ) microwaveMikrozoll (n) microinchMilitarperspektive (f) cavalier per-

spectiveMilitarproj ektion (f) cavalier pro-

jectionMilliampere ( n) milliampereM i 1 1 i a r d~e TO billion (in America),

milliard (in Britain)

Milligramm (n) milligramMillimikron (n) millimicronMillion (f) million

Millisekunde ( f ) millisecond

minder (a) less

Minderheit ( f ) minority

m indern ( vt) diminish

Minderung ( f ) diminution

Minderz,ahl ( f ) minority

mindest ( a) least

77

Mindestdehnung ( f ) minimum elongationMindes tgeschwindigkeit ( f ) minimum

speedMindes tm ass (n) minimum measureMindestsp annung (f) minimum tensionMindes tspannungsgra dient (m) mini-

mum potential gradientMindes tw ert (m) least or minimal value,

minimumminimal (a) minimal, minimumMinimalablenkung ( f ) minimal devi-

ation or deflectionMinimalbasis (f) minimal basis (of a

linear space, a number field)

Minimaldru ck (m) minimum pressure

Minimalebene ( f ) minimal planeMinimalf lache (f) minimal surface

Minimalger ade (f) minimal line

Minimalkur ve ( f ) minimal curveMinimalordnung ( f ) minimal or least

order

Minimalpunkt (m) minimal point

Minimals ch ar ( f ) minimal familyMinimalwert (m) minimum valueMinimax (n) minimaxMi ni meter (n) minimeterMi nimu m (n) minimumMinimumkurve ( f ) curve of the mini-

mumMinor (f) minor, subdet erminant, par-

tial determinantMi nor a nte (f) minorant, lower bound

(of a set)

Minoritat ( f ) minorityMinu en d (m) minuendminus (a) minusMinuspol (m) negative poleMinusz eichen (n) minus or negative

sign

Minu te ( f ) minuteMinutenz eiger (m) minute handMischu ngsr echnung (f), Mischu ngsregel

( f ) rule of alligationMitbewegung ( f ) comovementMitlo gar ithmus (m) cologarithmMi tschwingen (n) resonancemitschwingen (vi) covibratemitschwin gend (a) resonantMitschwingung (f) resonanceMi ttags kr eis (m) meridianMitte (f) middlemitteil en (vt) communicate, impartMi tteilung ( f ) communicationmittel (a) medium, median, mean,

middle

MitMit

Mit

Mit

Mit

MitMitMit

Mitmit

MitMitMit

Mit

Mit

Mit

Mit

MitMitMit

MitMitMitMit

Mitmit

el (n) mean; mediumelbegriff (m) middle term (of a

syllogism)elebene ( f ) medium plane,middle plane, center or centralplaneeleinhiillende ( f ) middle enve-lope (of a congruence)el f 1 ache ( f ) middle surface(ofa congruence)elgrosse (f) medium size

elkolonne (f) center columnellinie ( f ) bisecting line, bi'

sector, median; line of centersellot (n) perpendicular bisectoreln (vt) average, take the meanof

elpunkt (m) midpoint, centerelpunktlehre ( f ) centering gaugeelpunkts abstand (m) distancefrom centerelpunkts eigenschaft ( f ) propertyof the centerelpunkts gleichung (f) equationof conic with center at origin

elpunktskegelschnitt (m) central

conicelpunkts wink el (m) central angle(in a circle)

elreihe (f) center rowelschnitt (m) median section

elsenkrechte ( f ) perpendicularbisector

elspal te ( f ) center columnelstreif en (m) middle strip

elwert (m) mean value, averageelwertsatz (m) mean value the-

orem, law of the meanelzeile (f) center row

average, mean,ler (a)

mittlere Krummung: mean curv-

ature

mitzahlen (vt) take into account,

count in

Mobiusband (n) Mobius band or strip

Modell (n) modelModellbildung (f) construction of

modelsM o d u 1 (m) module, modulusModulbasis (f) module basis

Modulhom omorphismus (m) modulehomomorphism

modulo (a) moduloModulus (m) absolute value, modulusModus (m) modal value, mode

78

Mol ( n) moleMolekiil (n) moleculemo leku lar (a) molecularMolekularbewegung (f) molecular

motionMo leku largewicht (n) molecular weightMolekularzustand (m) molecular state

Molekiilbau (m) molecular structure

Molekiilfeld (n) molecular field

Molekiilgitter (n) molecular lattice

Molekiilschwingung (f) molecularvibr ation

Molgewicht (n) molar or gram -molecul ar

weightMoment (m) instant, momentMom en t (n) moment, momentummom en tan (a) instantaneousMomentanbeschleunigung (f) instantane-

ous ac celera tion

Momentangeschwindigkeit ( f ) instanta-

neous velocityMom entanzentrum (n) instantaneous

centerMomentbild (n) moment diagramMom entenbeiwert (m) moment coeffi-

cient

Momen tendiagramm (n) moment diagramMom entenfl ache (f) moment area or

diagramMo men ten gl eichung (f) moment equa-

tion

Mom en ten kurve (f) moment curveMomentenlinie (f) moment curve or line

Momen tennullpunkt (m) point of zero

m omentMom en tenpol (m) center of rotation

Mom entensatz (m) momentum theoremMomentenschaubild (n) moment diagramMond (m) moonMondbahn (f) orbit of the moonMondch en (n) crescent, lune, meniscusMondfinsternis ( f ) lunar eclipse

Mondsich el ( f ) crescent (moon)monodimetrisch (a) monodimetricmonodrom (a) single- valu ed, mono-

dromicMonodromiegruppe ( f ) monodromic groupmonogen (a) monogenicmonoklinisch (a) monoclinicmono ku lar (a) monocularMonom (n) monomialmonomisch (a) monomialmonomorph (a) monomorphicmonoton (a) monotone, monotonic

Monotonie ( f ) monotony, monotonicityMonotonieprinz ip (n) principle of

monotinicity or monotonymonotrop, monotropisch (a) mono-

tropicMorgen (m) acre (of land)

Morphol ogie (f) morphologymorphologisch (a) morphologicalmultipel (a) multipleMultiplett (n) multipletMultiplikand (m) multiplicandMultipli kation ( f ) multiplicationMultiplikationsfaktor ( m) multiply-

ing factor

Multiplikationsgesetz (n) rule of

multiplicationMultiplikationstaste (f) multiplica-

tion bar (of calculator)

Multiplikationszeichen (n) multi-plication sign

mul tiplikativ (a) multiplicativeMultiplikator (m) multiplier

Multiplikatorenbereich (m) domainof multipliers

Multiplikatorenregel (f), Multipli-

katorregel ( f ) method of indeter-

minate multipliers

multiplizieren (vt, vi) multiplyMultiplizitat (f) multiplicity

Multiplum (n) multipleMuschellinie ( f ) conchoidMy (n) Greek letter mu (M, /i

)

My- Meson ( n) mu mesonMyriameter (n) myriameter (jtxm)

NNabel (m) Nabelpunkt (m) umbilic,

umbilical point

Nabla (n) del, nabla (V)Nablaoperator (m) operator nabla

nach (prep.) after, by, to, toward.

( c f . Differentiation)

Nachbarerzeugende ( f ) neighboringelement or generator

Nachbarkurve (f) neighboring curve

Nachbarpunkt (m) neighboring point

Nachbarschaft (f) neighborhoodNachbarstellung (f) neighboring posi-

tion

Nachbild (n) residual imagenacheilen (vi) lag

Nacheilung (f) lag

nacheinander (adv) successively

Nachfolger (m) consequent, successor

79

Nachfolgerfunk tion (f) successor func-tion

Nachfolgerz ahl (f) successor numbernachpru fen (vt) check, re-examineNachpriifun g (f) check, re-examinationnachrechnen (vt, vi) check a calcula-

tion, recalculateNa chs a tz (m) consequent sentenceNachschlagetabelle (f) reference tablenachst (a) nearest, nextnachstfolgend (a) (next) following, con-

sequentNacht bo gen (m) nocturnal arc (of the sun)

Nach tgleich e ( f ) equinoxNachtrag (m) supplementary remark,

adden dumNachweis (m), N achw eisung ( f ) record,

verification

Nach wirkung ( f ) aftereffect, hysteresis

Nachzahl ( f ) cumulative class fre-

quency after median class

Nadelproblem ( n) needle problem (of

prob ability)

Nadir ( m) nadir

Nadirabstand (m) nadir distanceNadirpunkt (m) nadir pointNadirwinkel (m) nadir anglenah (a) near, close

Nahe (f) nearness, closeness, proximity;vicinity

naher (a) closer, nearernahern ( vt, vr) approach, converge to

or towardNaherung ( f ) approximation, approxi-

mate valueNaherungsbruch (m) convergent (of a

continued fraction)

Naherungsformel ( f ) approximate or

approximation formulaNaherungsgleichung ( f ) approximation

equ ation

Naherungsgrosse (f) approximate quan-tity

Naherungskurve (f) approximation or

approximate curveNaherungslosung ( f ) approximate solu-

tion

Naherungsparabel (f) parabola of ap-proximation

Naherungsrechnung (f) approximationc alculus

Naherungsverfahren (f) approximationmethod

naherungs weis (adv) approximately

naherungsweise (a) approximateNaherungswert (m) approximate value,

approximationNahfeld (n) short-range proximity

field

Nahkr af

t

( f ) close-range forceNah wirkung (f) close-range action or

effect

Nahzone ( f ) short-range zoneNatur ( f) natureNaturereignis (n) natural eventNaturerscheinung ( f ) natural phenom-

enonNaturgesetz (n) natural lawNaturkonstante ( f ) universal constantNaturkraft ( f ) natural force

Naturkunde ( f ) natural scienceNaturl ehre ( f ) natural philosophy,

physics

natiirlich (a) natural

Naturwissenschaft (f) natural scienceNebel kammer ( f ) cloud chamberNebenachs e (f) secondary axis; minor

axis (of ellipse); conjugate axis

( of hyperbola)Nebenbedingung (f) auxiliary condi-

tion

Nebenbestandteil (m) secondary part

Nebendiagonale ( f ) diagonal fromright to left, secondary diagonal(of a determinant, a matrix)

Nebenfaktor (m) secondary factor

Nebenflache ( f ) secondary face (of

crystal)

N ebengruppe (f), Nebenklasse ( f ) t

Nebenkomplex (m) coset, residue

class

Nebenkreis (m) small circle (on

sphere)Nebenmaximum (n) secondary or sub-

ordinate maximumNebenminimum (n) secondary or sub-

ordinate minimumNebenplanet (m) satellite

Nebenprojektion ( f ) auxiliary viewNebenquan tenz ahl ( f ) subordinate

quantum numberNebenreaktion (f) secondary reaction

Nebenrechnung ( f ) auxiliary com-putation

Nebenresulta t (n) incidental result

Nebenseite ( f ) diagonal (of a com-plete quadrilateral)

Nebenveranderliche (f), Neben variable

(f) auxiliary variable, parameter

80

Nebenwin kel (m) adjacent angleNebenwirkung ( f ) secondary effect

Nebularhypothese (f) nebular hypothesisNega tionsstrich (m), Neg ationsz eichen

(n) negation sign or barnega ti v (a) negativeNegativ (n) negativeneigen ( vt, vr) incline, slope, tilt

Neigung (f) inclination, dip; gradient,slope

Neigungs kosinus (m) direction cosineNeigungslinie ( f ) slope line

Neigungs winke l (m) angle of inclina-tion or slope

Neil (N) Neilsche Parabel: semicubicalparabola

Nenndrehmoment (n) rated torqueNenn er (m) denominatorNennerdeterminante (f) denominator

determinantNennergrad (m) degree of denominatorNephroide (f) nephroidNer

v

( m) nerveNettobetrag (m) net amountNettoertrag ( m ) net proceedsNetto gew ich t (n) net weightNetz (n) net, network; development (of

a surface of solid)

Netzebene (f) lattice planeN etzebenenabst an d (m) inter-lattice

plane distanceNetzebenenschar (f) family of lattice

planesNetz konstru ktion (f) net or network con-

struction

Netztaf el ( f ) net chart or graphNetzwerk (n) networkneu (a) new; modernNeugrad (m) grad, gradeNeuminute (f) a hundredth of a grad

Neumond (m) new moonneun nineNeun ( f) nineNeuneck (n) nonagonneunec kig (a) nonagonalNeuner (m) figure nine

Neunerprobe (f) casting out nines

Neun erres t (m) excess Of nines

neunhundert nine hundredneunmal nine timesneunmalig (a) (done)nine times

Neunpunktekreis (m) nine-point circle

(of a triangle), Feuerbach's circle

neunt ninth

Neuntel (n) ninth partneunte'ns (adv) ninthlyneunzehn nineteenneunzig ninetyneunzig st ninetiethNeuries (n) 1000 sheets (of paper)Neusekunde (f) a ten-thousandth of

a gradnich t (adv) not, non...

nichtabnehmend (a) nondecreasingnichtabz ahlbar (a) non denu m erabl e

Nichtabzahlbar keit ( f ) nondenumer-ability

nichtanalytisch (a) nonanalyticnichtaqui val ent (a) nonequi valentnichtarchimedisc h (a) non-Archime-

deannichtbehebbar (a) nonremovableN ichtbehebbarkeit (f) nonremov-

ability

nicht-charakterisierbar (a) nonchar-acterizable

Nicht-Charakterisierbarkeit (f) non-characterizability

nichtdicht (a) nondensenichtdifferenzierb ar (a) nondifferen-

tiable

nich tdis kret (a) nondiscretenicht diver gent (a) nondivergentNichtdi ver genz ( f ) nondi vergenceNichtentar tung ( f ) non de genera tion

nichteuklidis ch (a) non- Eu clidean

Nichtex isten z (f) nonexistencenich texistierend (a) nonexistentnichth armonisch (a) anharmonicni ch thau fbar (a) noncu mulati ve

nichthomogen (a) nonhomogeneousnich tk at egor isch (a) nonca tegoric al

nicht koinzident (a) non coinci dent

Nichtkoinz idenz (f) noncoincidencenicht kommu tativ (a) noncommutativeNichtkommutativitat (f) noncommuta-

ti vi ty

nichkonjugiert (a) nonconjugatenichtkon vergent (a) nonconvergentNicht kon vergen z (f) nonconvergencenichtk ristallisch (a) noncrystalline

nicht kugelig (a) nonsphericalnichtleer (a) nonempty, nonvoidnichtleitend (a) nonconducting, non-

conductiveNicht l eiter (m) nonconductornichtlinear (a) nonlinear

81

Nichtlinearitat ( f ) nonlinearitynichtloslich (a) insolubleNicht-Mathematiker (m) nonm athema-

tician

nichtnegativ (a) non-negativenichtorientierbar (a) nonorientablenichtparabolis ch (a) nonparabolicnichtpara llel (a) nonparallelNichtparallelismus (m), Nichtparalleli-

tat (f) nonpar allelismnichtperiodisch (a) nonperiodicNichtperiodizitat (f) nonperiodicit y

nichtrational (a) irrational, nonrationalnichtre ell (a) nonrealnichtreflexiv (a) nonreflexiveNichtreflexivitat (f) nonr eflexivity

nichtreziprok (a) nonreciprocalnichtseparabel (a) nonseparablenichtseparatiert (a) unseparatednichtsin gular (a) nonsingularnichtsi'iusformig (a) nonsinusoidalnichtspezial (a) nonspecialnichts tationar (a) nonstationarynichtst atistisch (a) nonstatisticalNichtsy m metr ie ( f ) nonsymmetrynichtsymmetrisch (a) asymmetric, non-

symmetricnichttr ansitiv (a) nontransitiveNichttransitivita t (f) nontransiti vity

nichttrivial (a) nontrivialnichtumk ehrbar (a) irreversible, non-

re versib le

Nichtumkehrbarkeit (f) irreversibility

nonreversibilitynichtumwandelbar (a) inconvertiblenichtvertauschbar (a) noncommutativeNichtvertauschbarkeit (f) noncommuta-

ti vity

Nichtzusammenfallen (n) noncoincidencenichtzusammenf allend (a) noncoinciden t

nieder (a) low, lowerNiederdruck (m) low pressure

Niederdruckgebiet (n) low-pressure areaNiederstwert (m) lowest or minimum

valueniedrig ( a) low

Nierenkurve (f) nephroidnilpotent (a) nilpotent

nirgendsdicht (a) nowhere dense

Niveau ( n ) level

Niveaufla'che (f) equipotent ial sur-

face, equilevel surfaceNiveaugruppe (f) equipotent groupNiveauhohe (f) height of level

Niveaukurve (f) isothermal curveNiveaulini e (f) line of level, contour

line, equipotential line

Niveauschem a (n) diagram of energylevel

Niveaus tuf e (f) energy level

Ni veausystem (n) system of level

Niveauunterschied (m) difference of

level

Niveauz ahl ( f ) level numbernivellieren (vt) level

Nomenklatur ( f ) nomenclatureNomogramm (n) alignment chart,

nomogramNomographie ( f ) nomographyNonagon (n) nonagonnonagonal (a) nonagonalNonius (m) vernier, noniusNoniusskala (f) vernier scale

Nord, Norden (m) north

nordlich (a) northern, northerly

Nor dpol (m) north poleNordpunkt (m) north pointNordsiidabweichung ( f ) declination

of the magnetic needleNordsudmeridian (m) north-south

meridianNorm (f) standard, normnormal (a) normal; standard; perpen-

dicular

Normalansich t (f) normal viewNormalbeschleunigung ( f ) normal

accelerationNormaldarstellung (f) normal represen

tation

Normaldrehmoment ( n) normal torque

Normaldruck ( m) normal pressure

Normale ( f ) normal, perpendicularNormalebene ( f ) normal or perpen-

dicular planeNormaleichung ( f ) standard calibra-

tion

Normaleinheit (f) standard unit

Normalenkongruenz (f) congruence of

norm als

Normalenlange ( f ) length of normalNormalenrichtung (f) normal direc-

tion

Normalenschar ( f ) family of normalsNormalensystem (n) system of nor-

malsNormalenvektor (m) normal vector

Normalform (f) normal or standard

form

82

Normal funktion (f) normal functionNormalgleichung (f) normal equation,

standard equationNorm al grosse (f) standard size

Norm alisa tion ( f ) normalizationNormalisator (m) normalizernormalisier en (vt) normalize, standard-

iz e

Norm alisierung ( f ) normalization,standardization

Normalita t (f) normalityNormalkoordinaten ( f p 1 ) Riemann's

canonical coordinates, normal co-ordinates

Normalkorper (m) normal field

Norm al kr aft (f) normal or perpendicularforce

Normalkrummung (f) normal curvatureNormalkrummungsvektor (m) normal

curvature vector

Normal kugel (f) normal sphereNormalkurve (f) normal curveNorm almass (n) standard (measure)Normalmass -stab (m) standard scale

Norm al perio de (f) normal period

Normalquerschnitt (m) normal cross

sectionNormalreihe ( f ) normal series

Normalriss (m) normal projection

Normalschnitt (m) normal or right sec-

tion

Norm alstehen (n) perpendicularityNormal teiler (m) normal divisor, self-

conjugate or invariant subgroupNorm al vergrosserung ( f ) normal magni-

fication

Normalver teilung ( f ) normal distribu-

tion

Nor mal w er t (m) standard valueNormalz e it (f) standard timeNormalzus tand (m) normal or ground

state

normen (vt) norm, normalize, standard-

ize; c al ibrat e

Norm enprodukt (n) product of the

normieren (vt) norm, normalize,standardize, streng normierter Raum:strictly normalized space

Normiertheit (f) normalcy, normalityNormierung ( f ) normalization, stan-

dardization; calibration

Normung (f) norming, normalization,standardization, calibration

notw en dig (a) necessary

Notwendigkeit (f) necessity

Null (f) zero, naught, null

Nullablesung ( f ) zero readingNullachse (f) coordinate axis, neut-

ral axis

Nullage (f) zero position

Nulldarstellung ( f ) null representa-tion

nulldimensional (a) zero-dimen-sional

Nulleinstellung ( f ) zero positioning

Nullelement (n) null or zero elementNul lenzirkel (m) spring bow compass,

hair compassNullfolge (f) null sequenceNullideal (n) null ideal

Nullinie (f) zero line, neutral line

Nullklasse ( f ) null class

Nullkreis (m) circle of zero radius,

imaginary circle, null circle

Nullkugel (f) sphere of zero radius,

imaginary quadric cone, isotropic

coneNullkurve (f) zero curveNull-lage (f) zero position

Null -'linie (f) = Nullinie

Nullmatrix (f) null matrixNullmenge ( f ) null set

Nullmeridian (m) first or prime meri-dian, zero meridian

Nullni veau (n) zero level

Nullpunkt (m) null or zero point,

origin; (phys.) neutral point

Nullpunktstangent (f) tangent at

origin, null-point tangentNullring (m) null ring

Nullstelle ( f ) zero (of a function, a

prime ideal)

Nul lstellenkorper (m) zero field

Nullstellenm annigfal tigkeit (f) zero

manifoldNullstellung ( f ) zero position, neutral

position

Nullstrich (m) zero mark (of a scale)

Nullsystem (n) null systemNullteiler (m) zero divisor

n u 1 1 1 e i lie (a) composed of zero parts

or segmentsNullvektor (m) null vector

Nullwert (m) zero value

null wertig (a) zero-valuedNullwertigkeit ( f ) z ero- valuedness

N ullwinkel (m) zero angle

Nullz weig ( m) zero branch, neutral

branch

83

Nu merale ( n) numeralnumerieren (vt) numberNu m erierung (f) numbering, numerationnu merisch (a) numericalNumerus (m) antilogarithmNummer ( f ) numberNu tation (f) nutationNuta tions kegel (m) nutation coneNu tz effect (f), Nutzleistung (f), Nutz -

wirkung ( f ) efficiencyNy (n) Greek letter nu ( N, v)Ny - Meson (n) neutral meson

oob en (adv) above, up

ober (a) superior, upperOberdurchschnitt (m) average of averagesO b e r fla ch e (f) surface; surface areaOb er flach enausdehnung ( f ) surface ex-

pansionOberflachenberechnung (f) computation

of surface area, complanationOberflachendichte (f) surface densityOb erf la chendruck (m) surface pressure

Oberflachenelement (n) surface ele-

mentOberflacheninhalt (m) surface areaOb erflachen integral (n) surface integralOberflache niadung (f) surface chargeOber fla chenpunkt (m) point of surfaceOberflachenschicht (f) surface layer

Oberflachenspannung ( f ) surface ten-

sion

Oberflachentemperatur ( f ) surface tem-perature

Oberflachenverteilung (f) surface dis-

tribution

Oberflachenwelle (f) surface waveOberflachenzone (f) surface region or

zoneob erf lachlich (a) superficialOber grupp e ( f ) class of classes, larger

class

Obergruppenbildung (f) formation of

larger classes

Ober gruppenlage ( f ) position of larger

classes

ob erh alb (adv) aboveOb erklasse (f) extension class; upper

class

Oberkorper (m) extension field

Ob ermenge (f) inclusive set

Oberring (m) extension ring

Obersatz (m) major premise

Ober schicht (f) upper layerOberschwingung ( f ) harmonic vibra-

tion*

Oberseite (f) upper side

obers t (a) topmostOberton (m) overtoneOberwelle ( f ) harmonic waveOberw ellenanalys ator (m) harmonic

analyz er

Objekt (n) objectObs er va torium (n) observatoryo f f en ( a ) openCffnung ( f ) opening, slit; (opt.)

aperture(3ffnungs winkel (m) aperture angleOgdoeder (n) ogdohedronogdoedrisch (a) ogdohedralOktaeder (n) octahedronoktaedral (a) octahedraloktaedrisch (a) octahedralOktant (m) octantOkta ve (f) octaveOktett (n) octet

Oktillion (f) quin decillion (in

America), octillion (in Britain)

Oktogon (n) octagonoktogonal (a) octagonalOmega (n) Greek letter omega (0,w)Omikron (n) Greek letter omicron

T67o)Operation ( f ) operationOperationssymbol (n) symbol of

operationOperationszeichen (n) operative sign

Operator (m) operatorOperatorenbereich (m) domain of

operatorsOperatorenmethode ( f ) method of

operatorsOperatorenrechnung ( f ) operational

calculusoperatorhomomorph (a) operator-

homomorphicOperatorhomomorphismus (m) opera-

tor homomorphismoperatorisomorph (a) operator-iso -

morphicOperatorisomorphismus (m) operator

isomorphismOperatorsy mbol (n) operative symbol,

operatoroperieren (vi) operateOptik ( f ) optics

optisch (a) optical

84

ordentlich (a) ordinary, properOrdinalzahl (f) ordinal number, ordinalOrdinate (f) ordinateOr dinatenachse (f) axis of ordinatesOrdinatendifferenz (f) difference of

ordinates; rise (between two points)Ordinatenmassstab (m) ordinate scaleordnen (vt) arrange, orderOr dnung (f) order; degree (of a curve,

a surface )

Ordnungsaxiom (n) ordering axiomOr dnungsbez iehung ( f ) order relation

— -— - —-

i i11

'...

Or dnun gsf la che ( f ) nucleus of a polarsystem in space ; order surface

Or dnungskubik ( f ) cubic curve as a pointconfiguration, curve of the third order

Or dnungs kur ve (f) curve as a point con-struct, order curve; nucleus of a

polar system in the planeOrdnungsquartik ( f ) quartic curve as a

point configuration, curve of the

fourth order

Or dnungsprinzip ( n) order principleOr dnungsr el ation (f) order relationOrdnungsrichtung (f) orientationordnu ngs treu (a) or der- preservingOrdnungstyp (m), Ordnungstypus (m)

order typeOrdnungszahl (f) ordinal number, ordi-

nal; index of a polarity; (phys.)

atomic number, order numberorientieren (vt) orient, direct; (vr)

find one's bearingsorientiert (a) orientedOrientierung (f) orientationOriginal versuch (m) original experi-

mentOrt (m) place, position; geometric

locus

Or thoachs e (f) orthoaxisorthodiagonal (a) orthodiagonalOrthodiagonal e (f) orthoaxis

Orthodoma (n) orthodomeorthogonal (a) orthogonal, orthographicOrthogonalfunktion (f) orthogonal func-

tion

Or thogonalinvariante ( f ) orthogonal in-

variantOr thogonalita t (f) orthogonalityOrthogonalitatsbeziehung (f), Orthogo-

nalitatsrelation (f) orthogonalityrelation

Orthogonalkreis (m) orthogonal circle

Orthogonalpolynom (n) orthogonal poly-nomial

Orthogonalprojektion (f) orthogonalor orthographic projection

Orthogonalreihe (f) orthogonal seriesOrthogonalsystem (n) orthogonal sys-

temorthographisch (a) orthographicorthoklastisch (a) orthoclasticOrthopinakoid (n) or thopinacoidOrthoprisma (n) orthoprismOrthopyr amide ( f ) orthopyramidorthorhombisch (a) orthorhombicorthosymmetrisch (a) orthosymmet-

ric

ortlich (a) local; positional, geo-graphic

Ortlichkeit ( f ) locality

ortsbeweglich (a) movableOrts beziehung (f) topological re-

lation

Ortsdiagramm (n) locus diagramOrtsfehl er (m) location error

ortsfest (a) stationaryOrtsfunktion ( f ) position functionortsgebunden (a) localizedOrtsgleichung (f) equation of a locusOrtskoordinate ( f ) position coordi-

nateOrtskurve (f) locus (curve)Ortsraum (m) local spaceOrtsuniformisierende (f) parameter

for neighborhood uniformalizationOrts vektor (m) position vector,

localized vectororts veranderlich (a) mobile, movableOrts veranderung (f) change of position

Ortszeit ( f ) local timeOrtung ( f ) position fixing

Oscillation (f) oscillation (= Oszil-

lation )

Oskulation ( f ) osculationOskula tionsebene ( f ) osculating planeOskulationsknoten (m) oscnodeOskulationsknotenspitze (f) point of

osculinf lection or oscu-inflectionOskulationskreis (m) osculating

circle

Oskulationskugel ( f ) osculatingsphere (of space curve)

oskulier en (vt) osculateOst (m), Osten (m) east

ostlich (a) eastern, easterly

Ostpunkt (m) east point

Oszillation (f) oscillation; (phys.)

oscillation, vibration. (= O s c i 1 -

lation)

85

Os zil la tions aufspaltung (f) splitting upof oscillations

Oszillationsbestandteil (m) componentof oscillation or vibration

Oszill ationsfreiheitsgrade (mpl) de-grees of freedom of oscillation

Oszillationsquantenzahl (f) vibrationalquantum number

Oszillationsquantum (m) vibrationalquantum

Oszillationssprung (rn) oscillatory jumpOs zil lations theorem (n) oscillation

theoremOszillator (m) oscillator

osz illieren (vi) oscillate; (phys.)

oscill ate, vibrate

oszillierend (a) oscillating; (phys.)

oscillating, vibrating

oval (a) ovalOval oi do (f) ovaloidOvalpunkt (m) point of ovalOvaltangente (f) tangent to oval

Paar (n) couple, pair

Paarbil dung (f) pair formationpaaren ( vt) pair

paarig (a), paarweise (a) in pairs,

p air wis e

Pa ari gk ei t (f) parity (of a number)Papiermass (n) paper measureParab el ( f ) parabolaParab el abschnitt (m) parabolic seg-

mentParab el achs e (f) axis of the parabolaParabelbe wegung ( f ) parabolic motionParabelbogen (m) parabolic arc

parab el formig (a) parabolic (in formor shape)

Par ab el gl eichung (f) equation of a

parabolaParab el koordina te ( f ) parabolic coordi-

nateParabelschar (f) family of parabolasParabelsegmen t (n) parabolic segmentParab elsystem (n) system of parabolasparabolisch (a) parabolicparaboloidisch (a) paraboloidalparadox (a) paradoxicalPar adoxie (f), Paradoxon (n) paradoxparallaktisch (a) parallacticParallaxe ( f ) parallaxParal laxengleichung ( f ) parallactic

equ ation

Parall ax ens e ku nd e (f) parsecParall ax winkel (m) angle of parallaxparallel (a) parallelParallel (m) parallel (circle)

Parallelbewegung ( f ) parallel motionParallele (f) parallel (line)

P arallel ebene (f) parallel planeP ar allel enaxiom (n) parallel axiomPar all el enpaar ( n) parallel pair

Parall elenpostulat (n) parallel postu-late

Parallelepiped , Par alle le pipe don, (n)

parallelepipedParall elflach (n) parallelepipedParallel fl ache (f) parallel surfaceParallelfiihrung (f) parallel motion

( of mechanism)Parall elismus (m), Parallelitat (f ).

p ar all el ismPar al 1 el koordinat en (fpl) parallel

coordinatesP ara 11 el kreis (m) parallel circle

Parallellineal (n) straightedgeP a r a 1 1 e 1 1 i n i e ( f ) parallel line

Parall el ogr am m (n) parallelogramP ara 11 el persp ek ti ve ( f ) parallel per-

sp ecti ve

Parallelproj ektion (f) parallel pro-

jectionP ara 11 elschnitt (m) parallel sectionP arall elstr ahl (m) parallel line or

ray

Parallelstr ahlenbiindel (n) bundle or

sheaf of parallel lines or rays

Para 11 elstr ah lenbuschel (n) pencil

of parallel lines

Parall elstromung ( f ) parallel flow

parallelverschieblich (a) transla-

tional, translatory

Parall el verschiebung ( f ) parallel dis-

placement or shift, translation

Parallel verschiebung sgesetz (n) prin-

ciple of parallel displacement,parallelism of Levi-Civita

Paralogismus (m) paralogismParameter (m) parameterParameterdarstellung (f) parametric

repres entationParametergleichung ( f ) parametric

equationparameter invariant (a) parametric-in'

variant

Parameterinvariante ( f ) parametricinvariant

86

Parameterlinie (f) parametric curveParam eters k al a (f) parametric scale

Parametertransformation (f) parametrictransformation

Param eterwahl ( f ) choice of parameterParam eterw ert (m) value of parameterparam etrisch (a) parametricparamorph (a) paramorphic, paramor-

phousParamorphose (f) paramorphismParit at (f), Pariwert (m) parity

Parsek (n) parsecPartial bru ch (m) partial fraction

Partial bru chzerl egun g (f) decompositionof a fraction into partial fractions

Partialdeterminante ( f ) partial deter-minant, su bdeterminant, minor

Partialsch wingung ( f ) partial oscilla-

tion or vibrationPartialzweig (m) partial branchpartiel 1 (a) partial

Partikel (f) particle

parti ku la r, partikular (a) particularPartiku larkurve ( f ) particular curvePartiku larlosu ng ( f ) particular solutionParti kularsy stem (m) system of parti-

cular integrals or solutions

passen (vt, vi) fit

passend (a) fitting, suitablepassier en ( vi) pass

Pendel (n) pendulumPendelabweichung (f) pendulum devi-

ation

Pendelamplitu de (f) amplitude of the

pen dulumPendelauss chlag (m) pendulum deflec-

tion or swing, amplitude of the pen-dulum

Pendelbahn ( f ) pendulum arc

Pendelbewegung ( f ) pendulum motionPendelebene (f) pendulum planePendelgesetz (n) law of pendulum mo-

tion

Pendell ange ( f ) pendulum lengthpendeln (vi) swing, oscillatePendelschwingung (f) pendulum swing

or oscillationPendeluhr (f) pendulum clockPend el versuch (m) pendulum experimentPentade (f) pentadPenta eder (m) pentahedronpentaedrisch (a) pentahedralPentagon (n) pentagonpentagonal (a) pentagonal

Pentagonalzahl ( f ) pentagonal numberPentagondodekaeder (n) pentagonal

dodecahedron, pent adocahedronPentagonikositetraed er (n) pentago-

nal icositetr ahedronPentagramm (n) pentagrampentaspharisch (a) p entasphericalPenumbra (f) incomplete shadow,

penumbraperf ekt (a) perfect, completeP erf ek theit (n) completenessP erigaum (n) perigeePerihel (n) perihelionPerihelbewegung (f) motion of the

perihelionPerihelium (n) perihelionP eriode (f) periodPeriodenzahl ( f ) number of cyclesperiodisch (a) periodicP eriodiz ita t (f) periodicityPeriodizitatsmodul (m) periodicity

modulusPeriodogramm (n) periodogramP eriodogrammanaly se ( f ) periodo-

gram analysis

peripher (a) peripheralPeripherie ( f ) peripheryPeripheriepunkt (m) peripheral point

Peripherie winkel (m) inscribed angle(of a circle)

Perlkurve (f) pearls of SluzePermanenz ( f ) permanencePerm anenzpr inzip (n) principle of

perm anenc e

Permu ta tion ( f ) permutationPermutationsgruppe ( f ) permutation

groupPermutationsmatrix ( f ) permutation

matrixpermutierbar (a) permutablePermu tier bar keit ( f ) permu tability

permutieren (vt, vi) permutePerpendikel (n) perpendicularperpendikular (a) perpendicularperspektiv (a) perspectivePerspektivbildebene ( f ) plane of per-

spectivePerspektive (f) perspectiveperspektivisch (a) perspectivePerspektivitat (f) perspecti vity

Perspektivitatsachse (f) axis of per-

spectivity or homologyPerspektivitatszentrum (n) center of

p erspecti vity or homology

87

Perspektivprojektion ( f ) perspektive pro-

jectionPerspektivzeichnung ( f ) perspective

drawingpersy mmetrisch (a) persymmetricPerturbation ( f ) perturbationPerzent (n) per centPerzentsatz (m) percentagePerzentil ( n) percentilePferdef essel ( f ) horse fetter, hippopedePferdekraft (f), Pferdes tarke ( f ) horse-

pow er

Pfl astersa tz (m) covering theoremPfund (n) poundPhase ( f ) phasePhasenkonst ante ( f ) phase constantPh asenr aum (m) phase spacePhasenregel ( f ) phase rule

Phasensprung ( f ) phase jumpPhasenunterschied (m) phase differencePh asenwinkel (m) phase anglePhi (n) Greek letter phi ($, q>)

Phon ( n) phonphotoel ek tr isch (a) photoelectricPhotoel ektrizita t ( f ) photoelectricityPhoton (n) photonPh ysik ( f ) physicsphysikalisch (a) physicalPhysiker (m) physicist

physisch (a) physicalP_i (n) Greek letter pi (n,7r)

piezoele ktrisch (a) piezoelectricPiezoel ektr izitat (f) piezo electricity

Piezo kr is tal 1 (m) piezoelectric crystal

Pi- Meson (n) pi meson, pionPinakoid (n) pinacoidPinchebene (f) pinch planePinchpunkt (m) pinch pointPinte (f) pint

Planet (m) planetPlanetenbewegung ( f ) planetary motionPlanetenstorung ( f ) planetary perturba-

tion

Plane volute (f) evolute of a skew curvePlanevol vente ( f ) involute of a skew

curvePlaniglob (m, n) planiglobe, planispherePlanimeter (m) mechanical integrator,

planimeterPlanimetrie ( f ) planimetry, plane geom-

etry

Planisphare ( f ) planispherePlankugel (f) projection of sphere upon

plane, planisphere

planparallel (a) with parallel faces,

plane-parallelPlanparallelitat (f) plane parallelismPlanschnitt (m) plane sectionPlansymmetrie ( f ) plane symmetryplansymmetrisch (a) plane-symmet-

ric

planzylindrisch (a) piano-cylindricalP latz wechs el (m) change of placePleochroismus (m) pleochroismpleochroitisch (a) pleochroicPluslehr e (f) plus gaugePluspol (m) positive pole

Pluszeichen (n) plus or positive sign

Pol ( m) polePolarabstand (m) polar distancePolarachse ( f ) polar axis

Polardistanz ( f ) polar distancePolardreieck (n) polar triangle (on

sphere); self-polar triangle (of a

conic), sel f- conj ugate triangle (of

polarity)

Polardreika nt (n) polar trihedral

Polare (f) polar line (of quadric);

axis of curvaturePolarebene (f) polar planePolarecke (f) polar solid anglePolarenbil dung ( f ) polar construction,

polarizationPolarentheorie ( f ) theory of pole and

polar

Polarformel (f) polar formulaPolargerade ( f ) polar line

Polargleichung ( f ) polar equationPolargrupp e ( f ) polar group

Polarisation (f) polarization

Polarisationsebene (f) polarization

planePolarisationskonstante (f) polarizing

constantPolarisations winkel ( m) polarizing

anglepolarisieren (vt) polarizePolaritat ( f ) polarityPolarkegelschnitt (m) polar conic

Polarkoordinaten (f pi ) polar coor-dinates

Polarkreis (m) circle of polarity;

(geog.) artic circle

Polarkurve ( f ) curve of polarity, po-

lar curve; (statist.) polar dia-

gramPola rnormale (f) polar normalPolarproj ection ( f ) polar projection

88

polarreziprok (a) polar reciprocal,dualistic

Polarreziproke (f) polar reciprocalPolarreziprozitat (f) polar reciprocationPolarstern (m) polar star

Polarsubnormale ( f ) polar subnormalPolarsubtangente ( f ) polar subtangentPolartangente (f) polar tangentPolartetraeder (n) self-polar tetrahed-

ron

Polarwinkel (m) polar angle, vectorialangle, amplitude, argument, azimuth

Poldistanz (f) polar distance; (astr.)

co- declinationPolhodie (f) polhodePolhohe (f) altitude of the polePolweg (m) pole path, polhodePolweite (f) pole or polar distancePolwinkel (m) polar anglePolyade ( f ) polyadpolyadrisch (a) polyadicpolydrom (a) polydromicPolyeder (n) polyhedronPolyederf lache (f) face of polyhedronPolyederformel (f) polyhedral formula,

Euler's theorem on polyhedronPoly edersystem (n) system of poly-

hedronsPolyedertopologie (f) topology of poly-

hedronsPolyederumgebung ( f ) neighborhood of

polyhedronpolyedr isch (a) polyhedralpolygen (a) polygenicPolygon (n) polygonpolygonal (a) polygonalPolygonalzahl ( f ) polygonal numberPolygonnetz (n) polygon networkPolygonseite (f) side of polygonPolygonzug (m) connected series of

lines

polykonisch (a) polyconicpolymorph (a) polymorphousPolymorphic ( f ) polymorphismPolymorphismus (m) polymorphismPolynom (n) polynomialPolynombereich (m) polynomial domain,

polynomial ringPolynomform (f) polynomial formPolynomfunktion (f) polynomial func-

tion

Polynomideal (n) polynomial idealpolynomisch (a) polynomialPolynomring (m) polynomial ring

Poly trope (f) polytropic curvepolytropisch (a) polytropicPolzahl (f) number of polesPositionswinkel (m) angle of positionposjti v (a) positive

Possibilitat (f) possibility, likeli-

hoodPosten (m) item; addend, summandPostulat (n) postulatepostulieren (vt) postulatePotential (n) potentialPotentialdiff erenz (f) potential dif-

ferencePotentialfeld (n) potential field

Potentialfunktion ( f ) potential func-tion

Potentialgefalle (n) potential gradi-ent

Potentialgleichung (f) potentialequation

Potentialstromung (f) potential flow

Potentialtheorie (f) potential theorypotentiell (a) potentialPotenz (f) powerPote nz achse (f) radical axis (of two

circles, three spheres)

Potenzdeterminante ( f ) determinant of

powers, Vander mondianPotenzebene ( f ) radical plane (of

two spheres)Potenzexponent (m) power exponentPotenz funktion ( f ) power functionpotenzieren (vt) raise to a powerPotenzieren (n), Potenzierung (f)

raising to a power, involutionPotenzlinie (f) radical axis (of two

circles, three spheres)

Potenzmittelpunkt (m) radical center.

( c f . Potenzpunkt )

Potenzprodukt (m) product of powerterms

Potenzpunkt (m) radical center (of

three circles, of four spheres)

Potenzreihe ( f ) power series

Potenzreihenentwicklung (f) power-series expansion

Potenzres t (m) power remainderPotenzsumme (f) sum of powersPotenzzentrum (n) radical center

pradikabel (a) predicablePradikat (n) predicatePradikatenkalkiil (m) predicate cal-

culus

Pradikatenpradikat (n) predicate of

predicates, second-level predicate

89

Pradikatenvariable ( f ) predicate vari-

ablepra di ka ti v (a) predicativePradi kats begriff (m) predicate concept

or termPradikatz eichen (n) predicate symbolPrafix (n) prefix

Pramiss e (f) premisepranex (a) prenexPra zession (f) precessionPra zessionsachse (f) axis of precessionPra zess io nsk egel (m) precession conePra zision (f) precisionPrazisionsmass (n) precision measurePrazisionsw aage ( f ) precision balancePreisindex (m), Preismesszahl ( f

)

price indexprim ( a) primePrimabschni tt (m) prime segmentPrim ar (a) primaryPrimarideal (n) primary idealPrimarkomponente ( f ) primary com-

ponentPrimarlinie ( f ) primary line

Prim ars trahl (m) primary ray

Primbereich (m) prime domainPrimelem en t (n) prime elementPrimfaktor (m) prime factor

Primf ak torpotenz (f) prime factor to

the high es t- appearing powerPrimfaktorzerlegung ( f ) prime factori-

zationPrimfolge (f) prime sequencePrimfunktion (f) prime functionP r i m i d e a 1 (n) prime ideal

Primintegritatsber eich (m) prime in-

tegral domainprimitiv (a) primitivePrim korper (m) prime field

Primpolynom (n) prime polynomialPrimring (m) prime ring

Prim teiler (m) prime divisor

Primzahl ( f ) prime numberPrimzahlgrad (m) prime degreePrimzahlpotenz (f) power of a prime

number, prime powerPrimzahlpotenzgruppe (f) prime-power

groupPr imzerlegung (f) prime factorizationPrinzip (n) principlePrinzipal funktion (f) principal func-

tion

Prinzipalserie (f) principal series

Prisma (n) prism

prismatisch (a) prismaticPrismatoid (n) prismatoid, prismoidPrismenflache (f) face or surface of

a prismPrismenhauptschnitt (m) principal

section of a prismPrismoid (n) prismoid, prismatoidProdukt (n) productProduktbil dung ( f ) product formationPro d u ktion ( f ,) productionProduktklasse ( f ) product class

Produk tm enge (f) product set

P roduk tvektor (m) product vectorProdu k t verfahren (n) product methodpro ( prep. ) per

Probe (f) test; checkProblem (n) problemproblem atisch (a) problematicProb lemst ellun g (f) formulation of a

problemProgramm (n) programprogrammieren (vt, vi) programProg ression (f) progressionprogressiv (a) progressiveProj ektion (f) projectionProj ektionsachs e (f) reference line of

proj ectionProjektionsebene ( f ) plane of pro-

jection

Proj ektionsfl ache ( f ) projection area

Proj ektionslehr e (f) theory of pro-

jectionProjektionsoperator (m) projection

operatorProjektionssatz (m) projection theoremProjektionsstrahl ( m ) ray of projection

Proj ektionstafel (f) plane of projec-

tion

Proj ektionszentru m (n) center of pro-

j ectionprojektiv (a) projectiveProj ekti vitat ( f ) projectivity

Projektivitatsachse ( f ) axis of pro-

jectivity, cross axis

proj izieren (vt, vr) project

Prop ortionale ( f ) proportional

Proportionalitat (f) proportionality

Proportionalitatsfaktor (m) propor-

tionality factor

Protoprisma (n) protoprism, unit

prismP rotopyr amide (f) protopyramid,

unit pyramidProzent (n) percent

90

Prozentsa tz (m) percentageprozentual

, prozentuel 1 (a) percentageProzess (m) processpriifen (vt) examine, test, verifyPr

u

flehre ( f ) standard gaugePru fung (f) examination, test, verifi-

cationPriifungsergebnis (n) test scorepseudoeuklidisch (a) ps eu doeuclideanPseudosphar e (f) pseudospherepseudospharisch (a) pseudosphericalPseudosymmetrie ( f ) pseudosymmetrypseudos ymm etrisch (a) pseudosymmetriePsi (n) Greek letter psi (¥, tfi )

ptolemaisch (a) Ptolemaic, Ptolemy'sPtolemaus (N) PtolemyPunkt (m) pointPunktanordnung (f) arrangement of

points

Punktberuhrung ( f ) point contactPunktbestimmung (f) point determi-

nationPunktepaar (n) pair of points, point

pair

Punktfeld (n) field of pointspunktformig (a) point-shaped, puncti-

formPunktgebilde (n) point configurationpunktieren (vt) dot

Punktkoor dinate ( f ) point coordinatePunktkreis (m) point circle

Punktkugel (f) point spherePunktkurve (f) curve as a point con-

struct

Punktmannigfaltigkeit (f) point mani-fold

Punktmasse ( f ) point mass; (statist.)

time series of point dataPunktmenge ( f ) point set

Punktpaar (n) point pairPunktquelle ( f ) point sourcePunktraum (m) point spacePunktreihe (f) range or series of points

Punktsingularitat (f) point singularityPunktsyst em (n) system of points

Punkttrans formation (f) point trans-

formationPu nkttripel (n) point triplet

punktuell (a) point-shapedpunktweise (a, adv.) point by point, by

means of pointsPunktwolke ( f ) point cloud, bivariate

point distribution

pyramidal (a) pyramidal

Pyramidalzahl (f) pyramidal numberPyramide (f) pyramidPyramidenflache (f) pyramidal sur-

face

pyramidenformig (a) pyramidalPyramidenoktaeder (n) triakisocta-

hedronPyramidenrumpf (m) frustum of a

pyramidPyramidenstumpf (m), Pyramidenstutz

(m) frustum of a pyramidPyramidenwurfel (m) t etrahex ahedronPyritoeder (n) pyritohedronpythagoraisch (a) Pythagorean

QQuader (m) right parallelepiped,

cuboidQuadrant (m) quadrantQuadrat (n) squareQuadratdezimeter (n) square deci-

m et er

Quadratdiagonale ( f ) diagonal of a

squareQuadratdifferenz ( f ) difference of

squares

Quadratfuss (n) square foot

Quadratgrad (m) square degreequadratisch (a) quadratic, squareQuadratkilometer (n) square kilo-

meterQuadratmasche ( f ) square meshQuadratmeile (f) square mileQuadratmeter (n) square meterQuadratmillimeter (n) square milli-

meterQuadratmyriameter (n) square myria-

m eter

Quadratnetz (n) net of squares, map-grid system

quadrato - kubis ch (a) semicubicalQuadratrix (f) quadratrixQuadratrute (f) square rod

Quadratschein (m) quadrate, tetragon

Quadratsumme (f) sum of squares

Quadratur (f) integration, quadrature;

(astr.) quadrate, quartile aspect

Quadratwurzel (f) square root

Quadratwurzelausziehung (f) extrac-

tion of square root

Quadr atyard (n) square yardQuadratzahl (f) square numberQuadratzentimeter (n) square cen-

timeter

91

Qu adratzoll (n) square inch

quadrierbar (a) squarable; integrable

qu adrieren (vt) squareQu adrierung (f) squaringQuadrifolium (n) quadrifoliumqu adril liert (a) square-ruled, quadrille"

Qu adril lion ( f ) septillion (in America),quadrillion (in Britain)

Qu adru pel (n) quadrupleQu adrupelpunkt (m) quadruple point

Qu adrupol (m) quadrupoleQu adrupo 1 m om ent (n) quadrupole

momentQu adrupolstrahlu ng (f) quadrupole ra-

diatio n

Qu alita

t

( f ) quality

qualitativ (a) qualitative

Qualita tsgrenze ( f) quality limit

Qualitatskontroll e (f) quality control

Qu al itatsni veau (n) quality level

Qu ant ( n ) quantumquanteln (vt) quantizeQuantelung ( f ) quantizationQuantenaquivalentsatz (m) law of

quantum equivalenceQu antenbahn (f) quantum orbit or pathQu an tenbedingun g ( f ) quantum condi-

tion

Quantenbild (n) quantum notation

Qu an tendef ekt (m) quantum deficiencyQu antengewicht (n) quantum weightQu antenhypothese (f) quantum hypoth-

esis

Qu an tenin tegr al ( n) quantum integral

Quantenmechanik (f) quantum mechanicsQu antensprung (f) quantum jumpQu antenstreuung ( f ) quantum scatteringquantentheoretisch (a) qu an turn - theore-

tic

Qu antentheorie (f) quantum theoryQuanteniibergang (m) quantum transition

Qu anten vektor (m) quantum vectorQu an tenz ahl ( f ) quantum numberQu an tenzust and (m) quantum state

Qu an tif ik ation (f) quantificationqu antif iz ier en (vt) quantifyqu antis ier en (vt) quantizeQuantisierung ( f ) quantizationQu antitat ( f ) quantityqu antitativ (a) quantitativeQuantum (n) quantity, quantumQuart (n) quart (measure)Quartik (f) quartic (curve, equation)Quartil (n) quartile

Quartilsabstand (n) quartile deviationquasidefinit (a) quasi- de fi nite

quasielastisch (a) quas i- el astic

quasigleich (a) quasi-equalQuasigleichheit (f) qu asi -equ al ity

quasistab il (a) quasi-stablequasistarr (a) quasi-rigidQuasiteil er (m) quasi - d i visionQuasi vielf ache (n) quasi- multiplequaQuaQua

Qua

Qua

Qua

QueQueQueQuequequeQueQueQue

Que

Que

Que

QueQueQue

QueQueQueQueQueQue

Que

QueQue

ernar (a) quaternaryernion (f) quaternionernionengruppe ( f ) quaterniongroupernionenkorper (m) quaternionfield, algebra of quaternionsernionenraum, Qua ternionraum(m) quaternion spaceernionenring (m) quaternionring

1 e (f) origin, sourcelfluss (m) source flow

lpunkt (m) point source, origin

lstromung (f) source flow

(a) cross, transverse

(adv) across

a bw eichung (f) lateral deviationachse ( f ) transverse,, axis

a uss ch la g (m) transverse swingor vibration

bewegung (f) transverse movem ent

deh nu ng ( f ) transverse extensionor expansiondehnungsziff er ( f ) coefficient

of transverse expansion, Poisson's

ratio

doma (n) macrodomedruck (m) lateral pressure

durchschnitt (m) transverse or

cross section

e (f) cross dimensioneffect (m) transversal effect

feld (n) transverse field

festigkeit (f) lateral strength

f 1 ache (f) transverse planegeschwindigkeit (f) transverse

velocitykonstant e (f) Poisson's ratio or

constantprofil (n) cross profile

schnitt (m) transverse or cross

sectionQuerschnittsflache (f) cross-sectional

area

92

Qu erschwingung ( f ) transverse oscilla-

tion, lateral or transversal vibration

Querstrich (m) cross bar

Quersumme ( f ) sum of digits

Qu er verkiirzung (f) transverse shorten-

ing

Qu er welle (f) transversal waveQuerzahl (f) Poisson's ratio

Qu erzu g (m) transverse pull

Quintik (f) quintic (curve, equation).

Q. mit funf Ruckkehrpunkt en;

quintic with five cusps, Haskell'squintic

Quintillion ( f ) nonillion (in America),quintillion (in Britain)

Quintupel (n) quintupleQuirl (m) curl (of a vector function)Quote ( f ) quot a

Quotient (m) quotientQuotientengruppe ( f ) quotient or fac-

tor groupQu otientenkomplex (m) quotient com-

plex

Quotientenkorper (m) quotient field

Quotientenring (m) quotient ring

Quotientensatz (m) quotient theorem

RRa ch en lehr

e

(f) caliper gauge, calipersRadbewegung (f) rotary motionradial (a) radial

Ra dialb es chleunigung ( f ) radial accele-ration

Ra diale (f) radial (curve)Radialkomponente ( f ) radial componentRadia Ikraft ( f ) radial force

Radialrichtung ( f ) radial directionRadia n ( m ) , Radiant (m) radianradiar (a) radial

Radiarkomponente ( f ) radial compo-nent

Radik al (n) radicalRadikal achse (f) radical axis

Radik alfunktion ( f ) radical functionRa dikal grosse ( f ) radical ( qu an tity)

Radik alzentrum (n) radical center.

( c f . Potenzpunkt)Radikand (m) radicandRadius (m) radius

Radius vektor (m) radius vectorRadix ( f ) root

radiz ieren (vt) extract a root

Radizieren (n), Radiz ierung ( f ) ex-traction of a root, evolution

Radkurve (f), Radlinie (f) cycloidRand (m) border, boundary, frontier

Randbedingung ( f ) boundary condi-tion

randern (vt) borderRanderung ( f ) bordering (of a de-

terminant)Randintegr al (n) boundary integral

Rand kante (f) boundary edgeRandkurve (f) boundary curveRandlinie (f) boundary line

Randpunkt (m) boundary point

Randschjcht (f) boundary layer

Randstr ahl (m) boundary or periph-eral ray

Randteiler (m) boundary divisor

Randwert (m) boundary valueRandwertaufgabe (f) boundary value

problemRan dzon e (f) boundary region or zoneRang ( m) rank

Ra n gkorr el at ion (f) rank correlation

Ran gor dnung (f) rank orderingRastpolkege l (m) herpolhode coneRastpolkurve ( f ) herpolhoderational (a) rational

Rationalitat (f) rationality

Rationalitatsbereich (m) domain of

rationality

Rationalmachen (n), Rationalmachung(f) rationalization

Rationalzahl ( f ) rational numberrationalzahlig (a) rational

Raum ( m) spaceraumartig (a) space-likeRaumartigkeit (f) space resemblanceRaumausd e h nung (f) cubic expansion;

spatial dimensionRaumbild (n) three-dimensional view,

space im ageRaumdehnung (f) cubic dilatation or

expansion; spatial dimensionRaumdimension (f) space dimensionRaumelement (n) space elementraum f est (a) space-fixedRaumgeometrie ( f ) space geometry,

solid geometry, stereometryRaumgerade (f) line of space

Raumgitter (n) space grating or

lattice

Raumgruppe (f) space group

Rauminhalt (m) cubical contents,

volume; solid space

Raumintegral (n) volume integral

93

Raumkoordina te ( f ) space coordinateRaumkurve (f) space curve, skew or

twisted curveRaumkurvenbogen (m) arc of a skew

curveraumlich (a) spatial

Raumlich keit (f) spatiality

Raummass (n) cubic measureRaummeter (n) cubic meterRaummetrik ( f ) space metricsRaumpunkt (m) point of spaceRaumsektor (m) solid sector

Raumspirale ( f ) helixRaum teil (m) portion of spaceRaumtensor (m) space tensor

Raum vektor (m) space vectorRaumwinkel (m) solid angleRaum winkelmass (n) steradian or sphera-

dian m easu re

Raumze it (f) space-timeRaum zeit kontinuum (n) space-time

con tinuumRaumzeitpunkt (m) point of space-timeRaute (f), Rautenflache (f) rhombus,

diamondrautenflachig (a) rhombohedralRautenflachner (m) rhombohedronrautenfor mig (a) rhombic, diamond-

shapedreagibel (a) sensitive

reagier en (vi) reactReaktion ( f ) reactionrealisierbar (a) realizableRealisierung ( f ) realizationRealitat (f) reality

Realitatsfrage ( f ) question of reality

Realteil (m) real part

Rechenbild (n), Rechenblatt (n) nomo-gram, alignment chart

Rechenbrett (n) counting frameRechenfehler (m) computing error

Rechenformular (n) computational work-sheet

Rechengerat (n) computing machineRechengesetz (n) calculating rule

Rechenmaschine (f) computing machine,calcul ator

Rechenoperation (f) arithmeticaloperation

Rechenregel (f) rule of calculationor of arithmetic

Rechenschieber (m) slide ruleRechenstab (m) rule of a slide rule

Rechentabelle (f) mathematicaltable

Rechentaf el ( f ) abacus; nomogramRechentisch (m) abacusRechenvorteil (m) short cut in

arithmeticrechnen (vt, vi) compute, reckonRechnen (n) arithmetic r computing,

reckoningRechner (m) computerRechnung ( f ) calculation, compu-

tation

Rechnungsar t (f) operation of arith-

metic, algorithmRechnungskontrolle ( f ) computational

checkrechnungsmassig (a) numericalrechnungsm a ssig (adv) by compu-

tation, numericallyrecht (a) right, right-handRechte ( f ) right

Recht eck (n) rectangleRechteckdiagramm (n) bargraphrechteckig (a) rectangularRechter (m) right anglerechts (adv) on the right

Rech tansicht (f) right-side viewRechtsdr all ( m) right-handed twist

rechtsdrehend (a) dextro- rotary

rechtsgangig (a) right-handedrechtsg erichtet (a) right-handedRechtsgewinde (n.) right-handed

threadrechtsgewunden (a), right-handedRechtsideal (n) right ideal

Rechtsinverse (f) right inverse

rechts- links (a) right- to- left

Rechtslinksachse (f) right - to -left

axis

Rechtsmodul (m) right moduleRechtsmultiplikation ( f ) post-mul-

tiplication

Rechtsm ultiplikatorenbereich (m)right multiplicative domain

rechtsschief (a) negatively-skewrechtsseitig (a) right-hand, on the right

Rechtsspirale (f) right-hand spiral

Rechtssystem (n) dextrorse system

rechtssteil (a) negatively-skewrechtswendig (a) dextrorse

rechtwinklig (a) right-angled, ortho-

gonalRechtwinkligkeit (f) orthogonality,

rectangularity

94

reduktibel (a) reducibleReduktibilitat ( f ) reducibilityReduktion (f) reductionReduktionsformel (f) reduction formulaReduktionsmass -stab (m) reduced scaleReduktionsmethode (f) method of re-

ductionReduktionssatz (m) reduction theoremReduktionsziffer ( f ) coefficient of re-

ductionReduktonszirkel (m) proportional com-

pass

reduzibel (a) reducibleReduzibilitatsaxiom (n) axiom of redu-

cibility

Reduzibilitatskriterium (n) reducibility

criterion

re duzier bar ( a) reducibleReduzierbarkeit ( f ) reducibilityreduzieren (vt) reducereell ( a) real

reellabgeschlossen (a) real closedReelle (f) real (number)Reellitat ( f ) reality

ref lektier en (vt) reflectReflexion ( f ) reflection

Ref lexionsbedingung (f) condition for

reflection

Ref lexionsebene ( f ) plane of reflection

Reflexionsflache ( f ) reflecting surface

Ref lexionsprisma (n) reflecting prismr ef lexiv (a) reflexiveReflexivitat ( f ) reflexivity

Refraktion (f) refractionRefraktionskoeffizient (m) coefficient

or index of refractionRefr aktions winkel (m) angle of refrac-

tion

Regel ( f ) rule

Regeldetri ( f ) rule of threeRegelflache ( f ) ruled surfacer egellos (a) randomReg ellosigkeit (f) randomnessr egelmassig (a) regular

Regelm assigkeit ( f ) regularity

regelrecht (a) normalRegelschar (f) regulus

Regress ion (f) regressionRegressionsgleichung ( f ) regression

equationRegressionskoeff izient (m) coeffi-

cient of regressionRegressionslinie ( f ) line of regres-

sion

regress iv (a) regressiveregular (a) regular; (cryst.) iso-

metric, regular, tesseral

Regularita t (f) regularityRegularitatsannahme ( f ) assumption

of regularity

Regularitatsbereich (m) region of

regularity

Regularitatsellipse (f) ellipse ofregularity

Regularitatsgebiet (n) region of re-

gularity

Regularitatsintervall (n) interval of

regularity

Regularitatsstreifen (m) regularity

strip

Regularitatsintervall (n) (f) hypoth-esis of regularity

Reibung (f) friction

Reibungskoeffizient (m) coefficientof friction

Reichweite ( f ) rangeReihe ( f ) series

Reihenabschnitt (m) segment of a

series, partial series

Reihenfolge ( f ) order, ordering,

succession r sequenceReihenformel (f) series formulaReihengestalt ( f ) form of a statis-

tical distribution

Reihenindex (m) row indexReihenmatrix (f) row matrixRe ihentrans formation (f) series trans

formationReihenumfang ( m) size of a statis-

tical distribution

rein (a) pureReinertrag (m) net proceedsReingewinn (m) net profit

reinperiodisch (a) purely periodicReissbrett (n) drawing boardReissdreieck (n) drawing triangle, set

squareReissfeder ( f ) drawing pen

Reiss -schie ne (f ) T-squareReisszeug (n) drafting set

Reisszirkel (m) bow compassRektaszension ( f ) right ascensionRektifikation (f) rectificationrektifizierbar (a) rectifiable

Rektifizierbarkeit ( f ) rectifiability

rektifizieren (vt) rectify

Rektifizierung ( f ) rectification

rekurrent (a) recurrent

95

Rekurrenzfolge (f) recurrent sequenceRekurrenzreihe (f) recurrent series

rekurrierend (a) recursive

Rekursion ( f ) recurrence, recursion

Rekursionsformel (f) recurrence or

recursive formularekursi y (a) recursiveRekursivf orm el (f) recurrence or recur-

sive formularelativ (a) relative

Relativbewegung (f) relative motionRelativgeschwindigkeit (f) relative

speed or velocityRelativismus (m) relativismrel ativistisch (a) relativistic

Relativitat (f) relativity

Relativitatsglied (n) relativity termRelativitatskorrektion, Relativitatskor -

rektur (f) relativity correctionRelativitatstheorie (f) theory of rela-

tivity

Relativlage ( f ) relative position

Rencontr espiel (n) game of rencontreRente ( f ) annuityRentenformel ( f ) annuity formulaRentenr echnung (f) calculation of an-

nuities

Rentner (m) annuitantReprasentant (m) representativeReprasentantensystem (n) system of re-

pres entativesResidualgruppe (f) residual groupResidualschar ( f ) residual familyResiduenbil dung ( f ) residue formationResiduum (n) residueRe solvent e (f) resolventResonanz ( f ) resonanceResonanzber eich (m) resonance rangeResonanzkurve (f) resonance curveResonanzspektrum (n) resonance spec-

trumresonieren (vi) resonateRest (m) difference, remainder; residueRestcharakter (m) residue character

Restgleichung ( f ) remaining equationRestglied (n) remainder (of a series)

Restklasse (f) residue class, coset

Restklassenf olge ( f ) residue class se-

quenceRestklassengruppe (f) residue class group

Restkl assenmodul (m) residue class mod-ule

Restklassenkorper (m) residue class field

Restklassenprobe (f) casting out

Restklassenring (m) residue class

ring

Restkurve ( f ) residue curve

Restsatz (m) residue theoremRestschwankung (f) residual fluctu-

ation

Restteil (m) remaining part

Resultante (f) resultant

Resultantensystem (n) resultant

systemResulta t (n) result

resultieren (vi) result

resul tierend (a) resultant

Resul tierende (f) resultant

retar dieren (vt) retard

Retardierung (f) retardation

rever sibel (a) reversible

Reversibilitat ( f ) reversibility

r eversierbar (a) reversible

rever sier en ( vt) reverse

reziprok (a) reciprocalReziproke(s) (n) re-ciprocal

Reziprozitat (f) reciprocity, recipro-

cationrheonom (a) rheonomicRho (n) Greek letter rho (P,p)Rhombendodekaeder (n) rhombic do-

decahedronrhombisch (a) rhombicRhomboeder (n) rhombohedronrhomboedrisch (a) rhombohedralRhomboid (n) rhomboidrhomboidisch (a) rhomboid(al)Rhombus (rn) rhomb, rhombusRhumblinie ( f ) rhumb(line)Ri chtebene (f) direction planerichtig (a) correct, right, true;

normalRichtigkeit ( f ) correctness, truth

Richtung (f) direction, sense; trend

Richt ungsabstand (m) distance of

direction (line)

Richtungs koef fizient (m) slope (of

a line)

Richtu ngskosinus (m) direction cosine

Richtungs krummung (f) direction

curvaturerichtungslos (a) directionless

Richtungspaar (n) pair of directions

Richtungspunkt (m) point of direction

Richtungssinn (m) directional sense,

orientationRichtungsiibertragung (f) transfer of

direction

96

Richtungsunterschied (m) difference in

direction

Richtungswinkel (m) direction angle,slope

Riemann ( N) Riemanns kanonischeKoor dinaten: Riemann's canonicalcoordinates, normal coordinates

Riess (n) ream (of paper)Ring (m) ring; annulusRingber eich (m) ring domainRingflache (f) ring surface, anchor

ring, torus

Ringform ( f ) ring shaperingformig (a) ring-shaped, annular,

toroidal

Ringkurve (f) ring curveRingweg (m) cycleRisiko (n) risk

Risikofunktion ( f ) risk functionRiss (m) projection, viewroh (a) crude, roughRohre (f) tube, pipe

Rohrenflache (f) tubular surfacerohrenformig (a) tubularRollbewegung ( f ) rolling motionRolle (?) pulleyrol len (vi) roll

Rollflache (f) rolled surface, roulettesurface

Rollkur ve ( f ) rouletteromisch (a) RomanRosenkurve (f) rhodoneaRostpendel (n) gridiron pendulumRotation (f) revolution, rotation

Rotationen-Komplex (m) complex of

rotations

Rotations achse (f) axis of revolution or

rotationRotations analyse ( f ) rotational analysisRotations anteil (m) rotational contri-

butionRotationsbestandteil (m) rotational com

ponentRotationsbewegung (f) rotary motionRotationsellipsoid (n) ellipsoid of re-

volution, spheroidRo tationsflache (f) surface of revolu-

tion

rotationsfrei (a) irrotationalRotationshyperboloid (n) hyperboloid

of revolutionrotationsinvariant (a) rotation-invari-

ant

Rotationskegel (m) cone of revolution

Rotationskorper (m) solid or bodyof revolution

Rotationsparaboloid (n) paraboloidof revolution

Rotationsrichtung (f) direction of

revolution or rotationRotationssinn (m) sense of revolution

or rotation

Rotationssymmetrie (f) rotationalsymmetry

Rotationszylinder (m) cylinder of

revolutionRotor (m) curl (of a vector func-

tion)Roulette (f) rouletteRuckansicht ( f ) rear viewriickbezuglich (a) reflexiveRuckbezuglichkeit ( f ) reflexivity

Ruckflache (f) back faceRuckkehr ( f ) regression

Ruckkehrflachpunkt (m) cuspidalpoint of undulation

Ruckkehrkante ( f ) edge of regression,

cuspidal edgeRuckkehrkegelschnitt (m) cuspidal

conic ( of surface)

Riickkehrkurve (f) Guspidal curve(of surface)

Ruckkehrpunkt (m) cuspidal or

stationary point, cuspRuckkehrschnitt (m) closed cut (of

a surface)

Ruckkehrschnittpaar (m) pair of

closed cuts (of a surface)

Riickkehrspitze (f) cusp (usually of

higher order)

Ruckkehrtangente ( f ) cuspidal tan-

gent

Ruckkehrtorse ( f ) cuspidal torse

rucklaufig (a) retrogradeRucklaufigkeit ( f ) retrograde

motionRilckstr ahlung ( f ) reflection

Ruckversicherung (f) reinsurance

Ruhe ( f ) rest

Ruhelage ( f ) equilibrium position

ruhend (a) static, stationary

Rumpf (m) frustumRute (f) rod

Sach verhalt (m) circumstances, re

lation, state of affairs

Sachversicherung ( f ) property in-

surance

97

Sagezahnkurve (f) saw-tooth curveSaisonausschlag (m) seasonal deviationSaisonbereinigung ( f ) adjustment for

seasonal variation

Saisonindex (m) seasonal indexSaisonsch wankung (f) seasonal fluctu-

ation

Saisonzif f er (f) seasonal indexsakular (a) secularSakularbewegung (f) secular trendSakular gl eichun g (f) secular equationSakular variation (f) secular variationSakulum (n) centurySandrechnung (f ) sand reckoningS atellit (m) satellite

Sattel flache ( f ) saddle surface, hyper-bolic paraboloid

sattel formig (a) s addle -shapedSattelpunkt (m) saddle point, hyper-

bolic pointSatz (m) sentence; law, proposition,

theoremSatzf unktion (f) sentential functionSaule ( f ) column, prism; (statist.) bar

Saulendiagramm (n) bar graphSaumung (f) bordering (of determinant)schachteln (vt) nest

Schach telung (f) nest, nestingSchale ( f ) nappe, sheetSchall (m) soundSchallgeschwindigkeit (f) velocity of

soundSchar ( f ) familySchargerade (f) member of a family of

lines

Scharparameter (m) family parameterSchatten (m) shade, shadowSchattengrenze (f) shade line, shadow

boundarySchattenkegel (m) shadow coneschatze n (vt) appraise, estimateSchatzung (f) appraisal, estimatesch atzungsweise (a) approximateSchaubild (n) diagram, graphSchauloch (n) dial (of a computing

machine

)

Scheff el (m) bushelScheibe ( f ) disc; plane leaf (of Rie-

mann surface)scheinb ar (a) apparentScheinkorrelation (f) spurious cor-

rel at ion

Scheinkraft ( f ) fictitious force,

pseudo-force

Scheinperiodizitat ( f ) spurious

periodicity

Scheitel ( m) apse, vertex; angularpoint (of perspective), mode (of

frequency curve), zenith (of

horizon)Scheitelabs chnitt (m) distance from

the vertex of an angle to a pointon its side

Scheitelabstand (m) zenith distanceScheitelf lache (f) top or upper sur-

face, apical surfaceScheitelkreis (m) auxiliary circle

of conicScheitelpunkt (m) = ScheitelScheiteltangente ( f ) vertex tangentScheitelwert (m) maximum or peak

value; mode(of the frequencyfunction)

Scheitel winkel (m) vertical angle,

vertically opposite angleScheitelwinkelfeld (n ) field of

vertica 1 angleSchema (n) array, diagram, pattern,

schemaschematisch (a) schematicSchenkel (m) side of an angle, leg

of a pair of compasses or divi-

ders

Schicht ( f ) layer, stratumSchichtbildung (f) lamination, stra-

tification

schichten (vt) laminate, stratify

schichtig (a) laminatedSchichtlinle (f ) line of level, con-

tour line

schieben (vt) push, moveSchiebfl ache ( f ) transl ation surface

Schiebgeschwindigkeit ( f ) transla-

tory velocitySchiebung (f) pushing, sliding;

shearingSchiebungsf lache (f) slip planeschief (a) oblique, skewSchiefabschnitt (m) oblique sec-

tion

schiefachsig (a) oblique axial

Schiefe (f) obliquity, skewness;

(statist.) allokurtosis

Schiefeinfall (m) oblique incidenceSchiefendflache ( f ) basal pinacoid in

monoclinic and triclinic systems

Schiefheit ( f ) obliquity, slant

98

s chiefkomplex (a) skew complex,bicomplex

Schief korper (m) skew field

Schiefstellung (f) inclined position

Schiefs ymm etrie (f) skew symmetryschiefsymmetrisch (a) skew-symmetric,

an tis ym metricschiefwinklig (a) oblique (-angled)

Schiene (f) blade (of a T-Square)schlagen (vt) strike; describe (a circle)

Schlagsch atten (m) cast shadowschlangeln (vr) wind, meanderSchlangeh kurve (f), Schlangenlinie ( f

)

serpentine (line)

Schleif e (f) loop (of a curve)

Schleifenkonstruktion (f) loop con-struction

Schleppkur ve (f) tractrix

schliessen (vt) close; enclose, include,

involve; (log.) conclude, infer

Schlinge (f) loop (of a curve)

Schlitten (m) carriage (of a computingmachine)

Schluss (m) end, conclusion; (log.)

s yllogismSchlussart (f) kind of syllogism

Schluss differenz ( f ) final difference

schluss eln (vt) codeSchluss elun g (f) codingSchlvisselzahl ( f ) code numberSchlussfigur (f) figure of inference,

syl logismSchlussgleichung (f) final equationSchluss-satz (m) conclusion of a syl-

logismSchluss-schema (n) rule of implication

Schlusstafel (f) ultimate table

Schluss weise (f) method of reasoning;

kind of syllogismschmal (a) narrowSchmalheit ( f ) narrownessSchmalseit e (f) edge, endSchmalseitenansicht ( f ) edge view, end

viewSchmieg (prefix) osculatingschmiegen (vt, vr) hug, osculate

Schmiegspirale ( f ) osculating spiral

Schmiegs treif en (m) osculating strip

Schmiegt angente ( f ) osculating tangent

Schmiegtangentenkurve ( f ) osculating

tangent curve, asymptotic curveSchmiegtangentenlinie ( f ) osculating

tangent line, asymptotic line

Schmiegu ng ( f ) osculation

Schmiegungsebene ( f ) osculating plane

Schmiegungskreis (m) osculatingcir cl

e

Schmiegungskugel ( f ) osculatingsphere

Schnabel (m), Schn abelpunkt (m),Schnabelspltz e (f) cusp of the

second kind, rhamphoid cusp

schnabelfbr mig (a) rhamphoidSchnecke ( f ) limaconSchnec kenhauslinie (f) cochleoidSchneckenlinie (f) spiral, helix

schneiden (vt, vr, v. recip.) cut,

intersect

schneidend (a) intersecting, secantSchnelligkeit ( f ) rapidity, speedSchnitt (m) cut, section, intersec-

tion

Schnittebene (f) intersecting plane,

secant planeSchnitteigenschaft ( f ) property of

cuts, intersection propertySchnittflache ( f ) surface of intersec-

tion

Schnittgerade (f) line of intersec-

tion

Schnitt kurve (f) curve of intersec-

tion

Schnittlinie (f) line of intersec-

tion

Schnittpunkt (m) point of intersec-

tion

Schnittpunktsabszisse (f) abscissa

of point of intersection

Schnittpunktsabszissengleichung (f)

equation for abscissas of points

of intersectionSchnittpunktsmultiplizitat ( f ) mul-

tiplicity of intersection point

Schnittraum (m) area or space of

intersection

Schnittwinkel (m) angle of inter-

sectionSchnittzahl ( f ) intersection numberschraff ieren (vt) hatch, shadeSchraffierung ( f ) hatching, shading

s

c

hrag (a) obliqueSchragansicht ( f ) oblique viewSchrageinfall (m) oblique incidence

s c h r a g g e stellt (a) tilted

Schragperspektive ( f ) oblique per-

spectiveSchra gschnitt (m) oblique section

Schrags tellung (f) inclination

Schrags trahl (m) skew ray

99

Schranke ( f ) boundSchraube ( f ) screwschrauben (vt, vr) screwSchraubenachse (f) screw axis

schraubenartig (a) helicoidalSchraub enbewegung ( f ) screw or screw-

ing motionSchraubenflache ( f ) screw surface, heli-

coidschraubenfo'rm ig (a) screw-shaped, heli-

coidal

Schraubengang (m) flight or turn of a

screwSchraubengewinde ( f ) screw threadSchraubenhohe (f) pitch of screw or

helix

Schraubenkurve (f) cochleoidSchraubenlehre (f) micrometer calipers

Schraubenlinie (f) helix

Schraubenumgang (m) turn of screw or

helix

Schraubenwindung ( f ) turn of a screw,

screw thread

Schraubenwinkel (m) helix angleschraubig (a) helical, twistedSchraublehre (f) micrometer or screw

gaugeSchraubung ( f ) screwing motionschreiben (vt, vi) write

Schreibtafel ( f ) blackboardSchreibweise (f) way of writing, notationSchrift ( f ) writing. S. oder Wappen,

Kopf oder S.: heads or tails

Schriftzeichen (n) notation, symbolSchritt (m) step

schrittweise (a) step by step.

Si Naherung: successive approxi-mation

schrumpfen (vi) shrink

Schrumpfung (f) shrinkage, shrinkingSchub (m) push, thrust; shear

Schublehre (f) slide caliper or gaugeSchubmodul (m) modulus of shear or

thrust

Schubspannung (f) shear stress

Schussbahn ( f ) ballistic curve, trajec-

tory

sch wach (a) weakschwachabnehmend (a) weakly decreas-

ing

schwach-homolog (a) weakly homolo-gous

schwanken (vi) fluctuate, oscillate

Schwankung ( f ) fluctuation, oscillation,

variation

Schwankungsmass (n) measure of

dispersion or variation, standarddeviation

Schwere (f) gravity, gravitationSchwereanziehung ( f ) gravitational

attra ction

Schwerebeschleunigung ( f ) accele-ration of gravity

Schwerefeld (n) gravitational field

Schwerefeldstarke ( f ) strength of

gravitational field

Schwerekonstante (f) gravitationalconstant

Schwer etheorie (f) theory of gravi-

tation

Schwerkraft ( f ) force of gravity

Schwerlinie ( f ) centroidal axis;

median (of a triangle)

Schwerpunkt (m) center of gravity,

center of mass, centroid

Schwerpunktbestimmung ( f ) deter-

mination of the center of gravitySchwerpunktsabstand (m) distance of

the centroid

Schwerpunktsabszisse ( f ) abscissa of

the centroidSchwerpunktskoordinaten ( f pi ) co-

ordinates of the centroidSchwerpunktskurve ( f ) locus-curve

of the centers of gravity,

centrodeSchwerpunktslage (f) location or

position of the centroidSchwerpunktsordinate ( f ) ordinate

of the centroidsch wingen (vi) oscillate, vibrate,

swingSchwingung ( f ) oscillation, vibra-

tion, swingSchwingungsamplitude ( f ) amplitude

of swing or vibration

Schwingungsbewegung (f) vibratory

motionSchwingungsbogen (m) arc of vi-

bration

Schwingungsdauer (f) vibration

periodSchwingungsdiff erenz (f) vibration

differenceSchwingungsebene ( f ) plane of os-

cillation or vibration

Schwingungsellipse ( f ) ellipse of

oscillation or vibration

Schwingungsform (f) form or mode of

oscillation or vibration

100

Schwingungsgleichung ( f ) equation of

oscillation

Schwingungsrichtung ( f ) oscillation

direction

Schwingungsweite (f) amplitude of

swing or vibration

Schwingungszahl ( f ) number of oscil-

lations

Schwingungszeit ( f ) time or period of

vibrationSchwungellipsoid (n) ellipsoid of gyra-

tion or oscillation

Scrolarlinie (f) scrolar line

secans (m) secant, s . von x: sec x

secans hyperbolicus (m) hyperbolicsecant, s. h. von x: sech x

sechs six

Sechs ( f ) six

Sechseck ( n) hexagonsechseckig (a) hexagonalSechser (m) (figure) six

Sechser vektor (m) six-vectorsechs fach (a) sextuple, sixfold

Sechsflach (n) hexahedron, cubesechsflachig (a) hexahedralSechsflachner (m) hexahedron, cubesechshunde rt six hundredsechsmal six timessechsmalig (a) six timessechsseitig (a) six-sided, hexagonalsechsstern (m) hexagramsechst sixth

Sechstel (n) one-sixthsechs tens (adv) sixthly

sechswinklig (a) hexangularsechszahlig (adv) sextuple, sixfold;

hexagonal (symmetry)s echzehn sixteensechzig sixty

sechzigst sixtieth

Seekarte ( f ) hydrographic mapSeemeile ( f ) nautical mileSehlinie (f) line of sight

Sehne (f) chordSehnenformel ( f ) trigonometric formula

for the chord of a circle

Sehnenmittenflache (f) locus-surface

of centers of chords of a spacecurve

Sehn ensechs eck (n) inscribed hexagon(of a conic)

Sehnen viereck (n) quadrilateral in-

scribed in a circle

Sehstrahl (m) visual ray, line of sight

Sehwinkel (m) visual angleSeileck (n), Seilpoly gon (n) funic-

ular or link polygonSeinszeichen (n) existential quan-

tifier

Seite (f) side

Seitenabschnitt (m) intercept or seg-

ment of a side

Seitenabweichung (f) lateral devi-ation

Seitenansicht ( f) side viewSeitenbewegung ( f ) lateral move-

mentSeitenf lache (f) lateral area or sur-

face, face (of a polyhedron)Seitenhalbierende ( f ) median (of

a triangle)

Seitenhohe (f) slant heightSeitenkante ( f ) lateral edgeSeitenkrummung (f) side curvatureSeitenlinie ( f ) element of a ruled

surfaceSeitenpaar (n) pair of sides

Seite nprojektion (f) side viewSeitenprojektionsebene ( f ) profile

planeSeitenrichtung ( f ) lateral direction

Seitenriss (m) side viewSeitenrissebene ( f ) profile planeSeitenteil (m) lateral portion, side

part

Seitenver grosserung (f) lateral mag-nification

Seitenverschiebung (f) lateral or

side displacementSeitenzahl ( f ) number of sides or

faces

seitlich (a) lateral, side

seitwart s (adv) laterally, sidewaysSeitwartsbewegung ( f ) lateral move-

mentSekans (m) = secans

Sekanslinie ( f ) secant curve

Sekante ( f ) secant, intersecting

line; secant (of an angle) = se-

cans

Sekantenlinie ( f ) secant curveSekantenr eihe ( f ) secant series

Sekantensatz (m) theorem of the

product of a secant (to a circle)

and its external segmentSekanten-Zahl ( f ) Euler or secant

numberSektor (m) sector

101

Sektorendiagramm (n) circular or pie

chart

sekundar (a) secondarySekunde (f) secondSekunden pendel (n) seconds pendulumSekundenzeiger (m) seconds handSelbs tabbildung ( f ) self-mappingselbs tadjungiert (a) self-adjoint

Selbstberiihrungspunkt (m) point of

sel f- contact, node of second kind,

tacnode, double cusp

S elbstberiihrungs tangente ( f) tangent at

point of self-contactsel bstin vers (a) self-inverseSelbs ts ch att en (m) shadeSelbs tschattengrenze ( f ) shade line

Selbsts chnitt (m) self-intersection.S. einer Kurve; double point of a

curveSelbstschnittkurve ( f ) curve with double

point

Selektion ( f ) selectionSel ektionsp eriode (f) period of selec-

tion

Selektionssterbetafel ( f ), Selektions-taf el ( f ) select life table

Selekt ivitat (f) selectivitySemantik ( f ) semanticssem antisch (a) semanticalsemidefinit (a) semidefinitesem iin variant (a) seminvariantSemiin variante (f) seminvariantsemikon vergen t (a) sem icon vergentsemikonvergierend (a) s emicon vergingsemiko variant (a) s emico variantSemiko variante (f) se mico variantsemikubisch (a) semicubicalSemiotik ( f ) semioticsSemiparabel (f) semiparabolasemiregular (a) semiregularSenke (f) sink

senken (vt) drop, lower, sink; (vr) drop,

slope

Senkenstromung ( f ) sink flowsenkr echt (a) normal, perpendicular,

verticalSenkrechte (f) normal or perpendicular

(line)

Senkrechtstehen (n) perpendicularitySenkrechtstellung (f) vertical positionSenkung (f) drop, sag, slopeSenkungs winkel (m) depression anglesepar abel (a) separableSeparabilitat (f) separability

Separations variable ( f ) separationvariable

separierbar (a) separableSeparierbarkeit (f) separabilitysepar ieren (vt) separate

Septillion (f) tredecillion (in

America), septillion (in Britain)

Sequenzanalys e (f) sequential anal-ysis

Serie (f) series, sequenceSerienentwicklung ( f ) series expan-

sion

Serienspektrum (n) series spectrumSerpentine ( f ) hairpin bend or curve,

serpentinesetzen (vt) set, posit

Setzung (f) postulationSextillion (f) undecillion (in Amer-

ica), sextillion (in Britain)

Sextilschein (m) sextile aspectSextupel (n) sextupleSichel ( f ) crescent, lunesichelformig (a) crescent-shapedsicher (a) certainSicherheit (f) certainty

sichtbar (a) visible

Sichtbarkeit ( f ) visibility

Sichtbereich (m) range of visibility

Sichtf eld ( n) field of vision

Sichtweite ( f ) visual rangeSider alzeit (f) sidereal timesider isch (a) sidereal

Sieb ( n) sieve

sieben sevenSieben ( f ) sevenSiebeneck (n) heptagonsiebeneckig (a) heptagonal

Siebener (m) figure sevensiebenfach (a) sevenfoldsiebenfaltig (a) sevenfoldsiebenhundert seven hundredsiebenhundertst seven-hundredthsiebenmal seven timessiebenmalig (a) seven times

siebenseitig (a) seven-sided, hep-tagonal

siebent seventhSiebentel (n) one-seventhsiebentens (adv) seventhlysiebenz ahlig (a) sevenfoldsiebzehn seventeenSiebzehneck (n) polygon of seven-

teen sides

siebzig seventy

102

siebzigs t seventiethSiedepunkt (m) boiling point

Sigma (n) Greek letter sigma (E,o, 9)

Signatur (f) signature

signieren (vt) code, markSignierung (f) coding, marking, signa-

tion

Simplex (n) simplexSimplexzerlegung (f) simplex decom-

positionsimplizial (a) simplicialSimplizialzerlegung ( f ) simplicial de-

compositionsimultan (a) simultaneousSimultangleichungen ( f pi ) simultaneous

equationsSingular (m) singular

singular (a) singularsingularit atsfrei (a) free from singu-

larities, nonsingularSingularitats-Kana l (m) singularity

canalsinken (vi) fall, sink

Sinn (m) sense; direction, meaning,significance

Sinnbild (n) symbolsinnl os (a) absurd, meaninglessSinnlosigkeit (f) absurdity, meaning-

lessness

sinnvoll (a) meaningfulSinoidaldiagramm (n) sinusoidal

diagramSinus , sinus (m) sine. S von x:

sin x

Sinusbedingun g ( f ) sine conditionSinusf eld (n) sinussoidal field

sinusformig (a) sinusoidal

Sinusfunktion ( f ) sine function

Sinusglied (n) sine termsinus hyperbolicu s (m) hyperbolic sine.

s. h. von x: sinh x

Sinuskurve (f), S inuslinie ( f ) sine

curveSinuslinienprojektion (f) sinusoidal

proj ectionsinuslinig (a) sinusoidal

Sinus cide ( f ) sinusoid

Sinusreihe (f) sine series

Sinussatz (m) law of sines

Sinusschwingung (f) sinusoidal oscil-

lation

Sinusspirale (f) sinusoidal spiral

Sinustafel (f) table of sines

sinus versus = Sinusversus

Sinusversus (m) versed sine, versine.

S. von x; vers x

Sinuswelle (f) sine waveSituationskalku l (m) analysis situs

Skala (f) scale, graduationskalar (a) scalar

Skalar (m) scalar

Skalarfeld (n) scalar field

Skalargrosse ( f ) scalar quantitySkalarmultiplikation ( f ) scalar

multiplicationSkalarprodukt (n) scalar product,

direct or dot or inner productSkalenablesung ( f ) scale readingSkalenbogen (m) graduated arc

Skaleneinteilung (f) scale gradu-ation

Skalenlehre ( f ) scale gaugeSkalenoeder (n) scalenohedronSkalenteilung ( f ) scale graduationSkalentrans formation ( f ) change in

scale

Skizze ( f ) sketchskizzieren (vt) sketch

skleronom (a) scleronomic, rigid

Skrolarlinie (f) scrolar line

Skrupel (m) scruple

Solarjahr (n) solar year

Solarkonstante ( f ) solar constant

Solstitium (n) solstice

Sommersonnenwende ( f ) summer sol-

stice

Sonne (f) sun

Sonnenaufgang (m) sunrise

Sonnenbahn ( f ) orbit or path of

the sun

Sonnenferne ( f ) aphehionSonnenfinsternis ( f ) solar eclipse

Sonnenhalbmesser (m) sun's radius

Sonnennahe ( f ) perihelion

Sonnentag (m) solar day

Sonnenuhr (f) sundial

Sonnenuntergang (m) sunset

Sonnenwende (f) solstice

Sonnenwendpunkt (m) solstitial point

Sonnenzeit ( f ) solar timeSonnenzy klus (m) solar cycle

Sortiermachine (f) sorting machineSozialstatistik ( f ) social statistics

Spalt (m) gap, split, slot

Spalte (f) columnspalten (vt, vr) split

Spaltenmatrix ( f ) column matrix

Spannbreite ( f ) span

103

Spanne ( f ) width of a hand, span;

int er val, rangespannen (vt) span, stretch

Spannung ( f ) stress, tension; (elec.)

voltageSpannweite ( f ) span; interval, rangeSpat (m) parallelepipedSpektralanalyse ( f ) spectral or spec-

trum analysis

Spektraldarstellung (f) spectral repre-

sentation

Spektralber eich (m) spectral rangeSpek tralf ormel (f) spectral formulaSp ektralfrequenz (f) spectral frequencySpek tralgebiet (n) spectral rangeSpektrallinie (f) spectral line

Spektralm enge ( f ) spectral set

Spektralmultiplizit'at (f) spectral

mu ltiplicity

Spektraloperator (m) spectral operator

Sp ektralr eihe ( f ) spectral series

Sp ek tralschar ( f ) spectral familySpektralschwerpunkt (m) spectral ceti"

troid

Spektralserie (f) spectral series

Spektralsyst em (n) spectral systemSpektraltheorie (f) spectral theory

Spektral verschiebung ( f ) spectral shift

Spektralzerlegung ( f ) spectral decom-position

Spektrum (n) spectrumS pezial fall (m) special case

Spezialfamilie ( f ) special familyspezialisi er en (vi) specializespezi al isiert (a) specializedSp ez ial it at ( f ) specialtySpezialitatsindex (m) specialty indexSp ez ial kurve (f) special curveSpezialschar (f) special familysp ez jel l (a) special; particular, properSpez ies (f) fundamental operation of

ari th meticspezifisch (a) specificSphare ( f ) spheresph ar isch (a) spherical, spharischer Ke

gelschnitt: sphero-conicSpharoid (n) oblate spheroidsphenoidal (a) sphenoidSpiegel (m) mirrorSpiegelbild ( n) mirror im age, reflection

spiegelgleich (a) mirror-symmetricSpiegel gleichheit (f) mirror sym -

metryspiegeln (vt, vi, vr) reflect, mir-

ror

Spiegelung (f) reflection

spiegel verkehrt (a) mirror- inverted

Spiel (n) gameSpieldauer (f) duration of gameSpielraum (m) free play; margin of

error, toleranceSpielraumtheorie (f) theory of free

ranges

Spinnlinie (f) clothoid, spiral of

CornuSpiralbahn (f) spiral orbit or path

Spirale ( f ) spiral

Spiralf lache ( f ) spiral surface

spiralformig, spiralig (a) spiral,

helical

Spiralkurve ( f ) spiral curve

Spirallange ( f ) length of spiral

spirisch (a) spire, spiral

spitz (a) acute; pointed, sharp

Spitzbogenkurve ( f ) cumulativefrequency curve, ogive

Spitze (f) cuspidal or stationary

point, cusp, spinode; apex, ver-

tex; point of compasses or divi-

ders

Spitzentangente ( f ) cuspidal tangent

Spitzenzirkel (m) dividers

spitzig (a) po"inted

Spitzparabel (f) cuspidal or cusped

parabolaSpitzpunkt (m) cuspidal point

Spitzpunktparabel (f) = cuspidal or

cusped parabolaspitzwinkelig (a) acute (angled)

Sprechweise (f) parlanceSprung (m) jump, discontinuity

Sprungflache (f) surface of discon-

tinuity

Sprungfunktion (f) step function

sprunghaft (a) discontinuous, dis-

crete

Sprunghaftigkeit (f) discontinuity

Sprungstelle ( f ) point of discon-

tinui ty

Sprungweite ( f ) amount or extent

of jump or discontinuity

Spur ( f ) trace

Spurlinie ( f ) trace of a plane

Spurpunkt (m) piercing point, trace

Stabdiagramm ( n) bar chart or graph

stabil (a) stable

Stabilitat ( f ) stability

Stabilitatskurve ( f ) , Stabilitatslinie

(f) stability curve

Staffel ( f ) scale

104

Staff elbil d (n), S taf feldiagram m (n)

staircase polygon, histogramStammbru ch (m) unit fraction

Stammfun ktion (f) stem functionStammkorper (m) stem field

Standardabweichung (f) standard de-viation

Standardziffer ( f ) standard or correctedrate

standig (a) permanent, constant, con-tinuous

Stangenzir kel ( m) beam compassstark (a) strong, intense

Starke (f) strength, intensity

stark-homolog (a) strongly homologousstarr (a) rigid, solid

Starre (f) rigidity, solidity

Starrheit (f) rigidity

Statik (f) statics

stationar (a) stationary

statisch (a) static

Statistik (f) statistics

Sta tistiker (m) statistician

sta tistisch (a) statistical

Stechzirkel (m) dividers

stehend (a) standing, stationary

Steigbiigel (m) stirrup; curvilinear

circuit consisting of a double point

and two cusps

steigen (vi) ascend, increaseSteigung (f) ascent, pitch of a screw or

helix

Steigungsmass (n) gradient, slope

Steigwinkel (m), S teigungsw inkel (m)angle of elevation or slope; helix

anglesteil ( a) steep

Steilheit ( f ) steepness, slope; kurtosis

(of a frequency curve)

Steiner ( N ) Steinersche Flache:

Steiner's quartic surface.

Steinersche Kernkurve; Steiner's

nuclear curve (of polarity),

Steinerian curveStelle (f) place, point; digit

Stell enwert (m) place or local value

Stellenwertmaschine ( f ) digital com-puter

Stellenwertziffer (f) place digit

Stellenzeiger (m) index

Stellung (f) position

Stengelkristall (m) columnar crystal

Ster (m) stere

Sterbetafel ( f ) mortality table

Sterblichke.it (f) mortalitySterblichkeitstabelle (f), Sterblich

keitstafel ( f ) mortality tableSterblichkeitsziffe r' (f) mortality or

death rate

stereographisch (a) st er eogr aphicStereometrie (f) solid geometry,

stereometrystereometrisch (a) stereometricStereos kopbild (n) stereographstereos kopisch (a) stereoscopicStereoskopzeichnung ( f ) stereographStern (m) star

Sternbedeckung (f) occultation of

a star

Sternfigur ( f ) star polygonSternfl achner (m) star polyhedronsternformig (a) star-shaped, starlike

Sterngrosse ( f ) star magnitudeSternj ahr (n) sidereal year

Sternkarte (f) star mapSternkorper. (m) starlike solid, star

polyhedronSternkurve (f) four-cusped hypo-

cycloidSternpoly eder (n) star polyhedronSternpoly gon (n) star polygonStern vieleck (n) star polygonSternvielflach (n), Sternvielflach-

ner (m) star polyhedronSternzeit ( f ) sidereal timestetig (a) continuous; continued,

steadyStetigkeit ( f ) continuity

Stetigkeitsannahme (f) hypothesis of

continuityStetigkeitsaxiom (n) axiom of con-

tinuity

Stetigkeitsbedingung ( f ) condition

for continuityStetigkeitsbegriff (m) concept of

continuityStetigkeitsmodul (m) modulus of

continuityStetigkeitsprinzip (n) principle of

continuityStichprobe (f) spot test; random

sampleStichprobenerhebung ( f ) samplingStichprobenmasszahl ( f ) statistic

Stichprobenmittel (n) sample meanStichzeit (f) critical timestillsch weigend (a) tacit

Stillstand (m) standstill

105

Stillstandsebene ( f ) stationary planeStlllstandserzeugende (f) stationary

generatorSti llstandsl inie (f) stationary line

Stillstandspun kt (m) stationary pointSti llstandstangente (f) stationary tan-

gentStillstandsta ngentenebene (f) station-

ary tangent planestimmen (vi) checkStirnansicht ( f ) front viewStirnflache ( f ) frontal surfaceS toch as tik (f) stochastics

stoch as tis ch (a) stochasticStorchschnabel (m) pantographstoren (vt) disturb, interfere, perturbStorung (f) disturbance, interference,

perturbationStorungsfunktion (f) disturbing func-

tion

Storungsgleichung ( f ) perturbationequation

Storungsglied ( n) interference or per-turbation term

Storungsmatrix (f) perturbation matrixStorungsmethode (f) perturbation

methodStorungsrechnung (f) calculus of per-

turbations

Storungss telle ( f ) point of disturbanceStbrungstheorie ( f ) perturbation theoryStoru ngsz en tru m (n) center of dis-

turbanceStoss (m) collision, impact, push,

thrus t

stossen (vt) impinge, push, thrust

Stosszahl ( f ) number of collisions

Str ah 1 (m) line, ray;(phys.) beam, ray

strahlen (vi) radiate

Strahlenablenkung (f) ray deflection or

deviationStrahlenbrechung (f) refraction

Str ahlenbundel (n) bundle of lines,

sheaf or star of lines; (phys.) beamor bundle of rays

Strahlenbus chel (n) pencil of lines or

rays

Str ahlenf eld (n) net of lines

Str ahlenkegel (m) cone of rays, pencil

of rays

Strahlenkoordinaten ( f pi ) ray coordi-

nates

Str ahlenoptik ( f ) ray optics, emissiveoptics

Str ahlens ystem (n) congruence or

system of rays

Strahlrichtung (f) radial direc-tion

Str ahlung ( f ) radiationStrahlungsenergie (f) radiant energyStrahlungsfluss (m) radiant flux

Strahlungsgesetz (n) law of radi-

ation

Strahlungspotential (n) radiationpotential

Strahlungsvektor (m) radiationvector

Strangvieleck (n) string or funicularpolygon

Stratosphare ( f ) stratosphere

streckbar (a) extensible, rectifiable

Streckbarkeit ( f ) extensibility, rec-tif iability

Strecke ( f ) distance, line segment,stretch

str ecken (vt) stretch

Streckenelement (n) linear elementStreckenkoordinaten ( f pi ) line

coordinat es

Streckenkrummung ( f ) distance cur-

vatur e

Str eckenmasse (f) statistical uni-

verse of period data

Streckenr aum (m) linear spaceStr ec kenu bertragung ( f ) length trans-

fer enceStreckenverhaltnis (n) ratio of lines

str ec kenw eise (a, adv.) line by line

Streckgrenz e (f) elastic limit

Streckung ( f ) stretching

str eichen (vt) strike or cross out,

cancel, deleteStreichung (f) cancellation, dele-

tion

Streif (m), Streifen (m) strip,

bandStr eifenabstand (m) distance of

strip or bandStreif engruppe (f) group of bands or

strips

Streif enkurve (f) strip curve

Streifennorm ale (f) normal to a

strip

Str eifenspektrum (n) band spectrumStreifensystem (n) system of bands

or strips

streng (a) exact, rigorous

Strenge (f) exactitude, rigor

106

Streubereich (m) scatter or dispersionrange

Streueffekt (m) effect of scatteringstreuen (vt, vi) disperse, spread,

scatter

Streufaktor (m) scattering or disper-

sion factor or coefficientStreukegel (m) cone of dispersionStr eukoeffizient (m) scattering or dis-

persion coefficient or factor

Str eulinse (f) dispersion lens

Str euung ( f ) dispersion, scatter(ing),

variation, varianceStreuungsbereich (m) zone of disper-

sion

Str euungsbild (n) scatter or dispersion

diagram, bivariate frequency chartStr euungsfaktor (m), scattering factor

or coefficientStr euungs kegel (m) dispersing coneStreuungskoeffizient (m) scattering

factor or coefficientStreuungskurve (f) scatter curveStreuungsmass (n) measure of disper-

sion or variationStr ich (m) bar, dash, line; accent,

primestricheln ( vt) mark by dots or dashes

or dots and dashesStri>chbreite ( f ) width or thickness of

a linestrich -punk tiert (a) dot-dashStrichz ahl (f) number of lines

Striktion ( f ) striction

Striktions kr eis (m) circle of striction

Str iktionslinie ( f ) line of striction

Striktionspunk t (m) point of striction,

principal point

Strom (m) closed curve or path (on

surface, manifold); (phys.) stream,

flow, (electric) current

Stromdichte ( f ) current density

stromen (vi) flow

Stromintensitat (f) intensity or strength

of currentStromkurve ( f ) current curve*

Stromlinie (f) stream line

stromlinig (a) streamlinedStromschnelligkeit (f) rapidity of cur-

rent

Stromschwankung (f) fluctuation or vari-

ation of currentStromstarke ( f ) current intensity or

strength

Stromung ( f ) current, flow, fluxStromungsbild (n) flow patternStromverteilung ( f ) distribution

of currentStromweg (m) current pathStrophoide (f) strophoidStruktur (f) structure

Strukturanalyse (f) structural anal-ysis

strukturell (a) structural

Strukturformel (f) structural formulaStuck (n) piecestiickeln (vt) divide into piecesstuck weis e (a, adv.) piecewiseS tuf e (f) stage, step; level, order

rank

Stufenfunktion (f) step functionStufengitter (n) echelon gratingStufenkalkul (m), Stuf entheorie (f)

calculus of order u (omega)stuf enwe ise (a, adv.) step by step

Stumpf (m) frustums tumpf (a) obtusestumpfwinklig (a) obtuse (angled)Stunde ( f ) hourStundenglas (n) hour glass

Stundenkr eis (m) hour circle

Stundenwinkel (m) hour angle

Stundenzeiger (m) hour handstundlich (a) per hour, hourly

stiirzen (vt) transpose (a matrix)

Stutz (m) frustumStutze (f) support

Stiitzfunktion ( f ) function of sup-

port

Stutzpunkt (m) point of support;

(mech.) fulcrumSubdeterminante (f) subdeterminant,

partial determinant, minor (deter-

minant)Subjekt (n) subject

Subj ektbegriff (m) concept of sub-

ject; subj ect termsubkontrar (a) subcontrary

Subnormale ( f ) subnormalsubstituieren (vt) substitute

Substitution (f) substitution

Substitutionsformel (f) substitution

formula

Substitutionskoeffizient (m) coeffi-

cient of substitution

Substitutionsmethode ( f ) method of

substitution

107

Substitutionstheorie ( f ) theory of

substitutions

subsu mier en (vt) subsumeSubsumtion ( f ) subsumptionSubtangente ( f ) subtangentsubtrahieren (vt) subtract

Subtraktion ( f ) subtractionSu btr ak tionsz eichen (n) subtraction sign

sub tr ak tiv (a) subtractivesuchen (vt) seek, require

Su d (m), Siiden (m) south

su'dlich (a) southern, southerlySu'dpol (m) south poleSukz ession ( f ) successionsukzessiv (a) successiveSummationsindex (m) summation indexSummationszeichen (n) summation sign

Summationszeiger (m) summation indexSumm e ( f ) sumSummenaxiom (n) axiom of summationSummenbildung (f) formation of sumsSummenformel (f) summation formulaSummenindex (m) summation indexSummenkurve ( f ) summation curve,

ogiveSummenmethode ( f ) method of summa-

tion

Summenpolygon (n) summation curve,

ogiveSummenrechnung (f) summation calculus

Summenregel (f) summation rule

Summ ensatz (m) summation theorem or

principle

Summentafel (f) cumulative table

Summenzeichen ( n) summation sign

Summenzeiger (m) summation indexsummierbar (a) summableSummierbarkeit ( f ) summabilitysummieren (vt) sum up, addSummierung (f) summationSummierungsindex (m) summation indexSummierungskurve (f), Summierungspo-

lygon (n) summation curve, ogiveSummierungszeichen (n) summation sign

Summierungszeiger (m) summation in-

dexSuperlinearitat ( f ) superlinearitysuperponieren (vt) superposeSuperpositionsprinzip (n) superposition

principlesuppl ementar (a) supplementarySupplementarwinkel (m) supplementary

angleSy llogismus (m) syllogism

sy llogistisch (a) syllogistic

Symbolik ( f ) symbolismsymbolisch (a) symbolicsymboli sier en (vt) symbolizeSymbolisierung ( f ) sy mbol iz ation

Symmetrale ( f ) line of symmetry,bis ector

Symmetric (f) symmetrySymmetrieachse ( f ) axis of symmetrySy mmetrieb eziehung ( f ) symmetry

rel ation

Symmetrieebene ( f ) symmetry planeSymmetrieeigenschaft (f) property

of symmetrySymmetriegrund (m) reason of sym-

metrySy mmetrieoperation (f) symmetry

operationSymmetriezentrum ( n) center of sym-

metrysymmetrisch (a) symmetrical;

(statist.) isokurtic

symmetrisieren (vt) symmetrizeSymmetrisierung (f) symmetriza-

tion

Sy mmetrisierungsrichtung (f) direc-

tion of symmetrizationsynchron (a) synchronoussynchronisieren (vt) synchronizeSynchronisierung ( f ) synchronizationsynektisch (a) synectic

synklas tisch (a) synclastic

Synthes e (f) synthesis

synthesieren (vt) synthesizesynthetisch (a) synthetic

Syntraktrix ( f ) syntractrix

System (n) systemsystematisch (a) systematicsystematisieren (vt) systematizeSystemisierung (f) systemizationSystemstr ahl (m) one of a system

of rays

Syzygie (f), Syzygium (n) syzygy

tabellarisch (a) tabular

tabellarisieren (vt) tabulate

Tabellarisierer (m) tabulator

Tabellarisierung ( f ) tabulation

Tabelle ( f ) table, chart, diagramTabellenform ( f ) tabular formTabellenkopf (m)> table caption

Tabellenspalte (f) table columnTabellenzeile ( f ) table row

108

Tabelliermaschine (f) tabulatingmachine

Tafel ( f ) table; projection plane;blackboard

Taf elabstand (m) distance from pro-jection plane

Tafeldifferenz ( f ) tabular differenceTafelmethode (f) table method, actu-

arial methodTaf elzif fer ( f ) actuarial or standardized

rate

Tag (m) dayTagbogen (m) diurnal arc

taglich (a) daily

Tagundnachtgleiche ( f ) equinoxTangens

, tangens (m) tangent.T. von x: tan x

Tangensf unktion (f) tangent functiontangens hyperbolicus (m) hyperbolic

tangent, t.h. von x ; tanh x

Tangenskurve (f) Tangenslinie (f)

tangent curveTangensreihe (f) tangent series

Tangente (f) tangentTangentenabschnitt (m) tangential in-

tercept

Tangentenbeziehung (f) tangentrelation

Tangentenbil d (n) tangent imageTangentenebene (f) tangent planeTangentenflache (f) tangent surface,

tangential developableTangentenform el ( f ) tangent formulaTangentenkonstruktion ( f ) construc-

tion of or by tangentsTangentenkrummung (f) tangential

curvature, geodesic curvatureT angentenkrilmmungs vektor (m) tan-

gential curvature vectorT angentenkurve (f) tangent curve; class

curveT angentenlange ( f ) length of tangentT angent enlinie ( f ) tangent curveT angent enpa ar (n) pair of tangentsTangentenraum (m) tangent spaceTangentenreihe (f) tangent series

Tangentensatz (m) law of tangentsT angent enschar ( f ) family of tangentsTangentenschnittpunkt (m) point of

intersection of tangent(s)

Tangentensechseck (n) circumscribedhexagon

Tangentensehnenwinkel (m) angle of

tangent and chord at point of tan-

gene y, tan-chord angle

Tangentenstrecke (f) tangential seg-ment

Tangentenstiick (n) part of a tangentTangentensystem (n) system of tan-

gents

Tangentenvektor (m) tangent vectorTangentenverhaltnis (n) ratio of

tangents

Tangentenvieleck (n) circumscribedpolygon

Tangentenviereck (m) circumscribedquadrilateral

tangentenweise (a, adv.) by tangentsTangentenwinkel (m) angle of tan-

gents

Tangenten- Zahl ( f ) tangent numbertangential (a) tangent, tangentialTangentiale ( f ) tangential (com-

panion) curveTangentialbeschleunigung (f) tan-

tential accelerationTangentialebene (f) tangent planeTangentialgeschwindigkeit (f) tan-

gential velocityTangen tialgleichung ( f ) tangential

equationTangenUalkegel (m) tangent coneTangentialkomponente ( f ) tangen-

tial componentTangen tialkoord in ate (f) tangential

or line coordinateTangential kraft ( f ) tangential force

Tangentialkrummung (f) tangentialcurvature, geodesic curvature

Tangentialkrummungsvektor (m)tangential curvature vector

Tangentialpunkt (m) point of tan-

gencyTangentialr aum (m) tangent spaceTangentialrichtung (f) tangential

direction, slopeTangentialuberebene ( f ) tangent

hyperpl aneTasterlehre ( f ) caliper gaugeTasterzirkel (m) calipers

Tastlehre ( f ) caliper gaugeTau (n) Greek letter tau (T,r)Taubersatz (m) Tauberian theoremtausend thousandTausend (n) thousandTausendel (n) one- thousandth

Tausender (m). thousandTausenderstelle ( f ) thousands

placeTausendsatz (m) permillage

109

tausendst thousandthTausen dstel (n) one - thous andth

Tautologie (f) tautologytaut o log isch (a) tautologicalTaylo rreihenentwlcklung ( f ) Taylor-

series expansiontechnisch (a) technical, technologicalTeil (m) part, portion

Teilabl e itung ( f ) partial derivativeTeil ansi cht ( f ) partial viewTeilaussage (f) component sentenceteilbar (a) divisible

Teilbar keit (f) divisibility

T eilbereich (m) subdomainTeilbil d (n) partial imageTeilbru ch (m) partial fraction

T e i 1 b r u c h z e r l egun g (f) decompositionin partial fractions

Teilbiin del (n) partial bundleTeilbuschel (n) partial pencilTeilchen (n) particle

T eildisjunktion (f) partial disjunction,

disjunct

teilen (vt) divideTeiler (m) divisor, submultipletei 1 er fr em d (a) relatively primeTeilerhebung (f) partial enumeration,

samplingTeilerinduktion ( f ) divisor inductionTeilerkette ( f ) divisor chainTeilerkettensatz (m) divisor chain

conditionTeilf lache ( f ) portion of surfaceTeilfolge ( f ) subsequenceTeilgeb iet (n) subregionTeilk 1 ass e (f) subclass

Teilkomplex (m) subcomplexTeilkonjunktion (f) partial conjunction,

conj unc t

Teil korper (m) sub field

Teilkorrela tion (f) partial correlationTeilmannigfaltigkeit (f) submanifoldTeilmasse (f) class, groupTeilmenge (f) subset

Teilnahme (f) participationTeilnehmer (m) participantTeilnehmerzahl ( f ) number of partici-

pants

Teilprodukt (n) partial productTeilpunkt (m) point of division

Teilquotient (m) partial quotientTeilresul tan te ( f ) subresultantTeil-schiefkorper (m) skew subfield

Teilsch wingung (f) partial vibration

Teilstrahl (m) division ray or line

Teilstrich (m) division or graduationmark

Teilsumme ( f ) partial sumTeilsystem (n) subsystemTeilung (f) division, graduationTeilungsebene (f) plane of division

Teilung sproblem (n) problem of

points in probability theory

T

e

ilung spunkt (m) point of division

Teilungsverhaltnis (n) division ratio

Teilungszahl (f) quotientteil weise (a, adv.) by parts, partial

Teilzirke l (m) bow compassTelesko p (n) telescopeteleskopisch (a) telescopic

Temperatur ( f ) temperatureTendenz ( f ) trend

Tens or ( m) tensor

Tensoranaly sis ( f ) tensor analysis

Tensordichte (f) tensor density

Tensorf eld (n) tensor field

tensoriell (a) tensor(ial)

Tensorinvariante ( f ) tensor invari-

ant

Tensorkalkill (m) tensor calculus

Tensork omponente ( f ) tensor com-ponent

Tensorr echnung (f) tensor calculus

Terminologie (f) terminologyterminologisch (a) terminologicalternar (a) ternaryTestleistungsergebnis (n) test score

Tetartoeder (n) t etar tohedrontetar toedrisch (a) tetartoh edral

Tetartopyramide ( f ) t etartopyr amidTetrade ( f ) tetrad

tetrahedronvertex of tetra-

Tetraede r ( n)

Tetraederecke (f)

hedronTetraederkoordinaten ( f pi

)

tetra

hedral or tetrametric coordinates

tetraedisch (a) tetrahedral

tetraedral (a) tetrahedral

Tetraedralf lache (f) tetrahedral

faceTetragonalitat ( f ) tetragonality

Tetrakishexaeder (n) tetrahexa hed-

ron, tetrakishexahedrontetrazy klisch (a) tetracyclic

Teufelskurve (f) devil's curvetheodolitetheoretical

Theodolit (m)theoretisch ( a)

Theorie (f) theory

110

thermisch (a) thermalThermodynamlk (f) thermodynamicsther modynamisch ( a) thermodynamicThermostatik (f) thermostaticsThese (f) thesis

Theta (n) Greek letter theta (9,6)Thetafunktion ( f ) theta functiontief (a) deepTiefe (f) depthTiefendimension (f) dimension or ex-

tension in depthTiefenstufe ( f ) gradientTiefpunkt (m) low pointTierkreis (m) zodiactilgen (vt) extinguishTilgung (f) extinctionTon (m) sound, toneTonn e (f) ton

Tonnengehalt (m) tonnageTopologie (f) analysis situs, topologytopologis ch (a) topologicaltor dieren (vt, vi) twist

Tore (m), Toroid (n) toroid

Torsallinie ( f ) torsal line

Torse ( f ) developable (surface)

Torsion ( f ) second curvature, torsion

Torsionsgruppe (f) torsion groupTorsionskoeffizient (m) torsion coeffi-

cient or numberTorsionspendel (n) torsion pendulumTorsionsradius (m) radius of torsion

Torsionswinkel (m) angle of torsion

Torus (m) ring surface, anchor ring,

torus

Torusmannigfl atigkeit (f) torus mani*fold

Totalbetr ag (m) total amountTotalkorper (m) entire or total field

total -posit iv (a) totally positiveTrabant (m) satellite

trag (a) inert

Trager (m) carrier; base (of a range of

points), center or vertex (of a

bundle, a pencil), axis (of a pencil

of planes);(engin. ) girder

Tragheit (f) inertia

Tragheitsachse (f) axis of inertia

Tragheitsellipse ( f ) ellipse of inertia

Tragheitsellipsoid (n) ellipsoid of

inertia, momental ellipsoid

Tragheitsform ( f ) inertia formtragheitsfrei (a) inertia-free

Tragheitsgesetz (m) inertia theorem;(phys.) law of inertia

Tragheitshalbroesser (m) radius of

gyration, radius of inertiaTrggheitshauptachse (f) principal

axis of inertia

Tragheitsindex (m) index of inertiaTragheitskraft ( f ) inertial forcetragheitslos (a) inertialess

Tragheitsmittelpunkt (m) center of

inertia

Tragheitsmoment (n) moment of

inertia

Tragheitsradiu s (m) radius of gyra-tion, radius of inertia

Traghejtstensor (m) inertia tensor

Tragheitszentrum (n) inertia centerTraj ektorie (f) trajectoryTrajektorienflache (f) trajectory

surfaceTraktorie (f), Traktrix ( f ) tractory,

tractrix

transfinit (a) transfinite

Transformation (f) transformationTransformations ei gen schaft ( f ) trans-

formation propertyTrans formationsgruppe ( f ) tranfor-

mation groupTrans formationstheorie ( f ) theory of

transformationstransformieren (vt) transformTransformierte (f) transformtransiti v (a> transitive

Transitivitat (f) transitivity

Transitivitatsgebiet (n) domain of

transitivity; transitivity set

Transitivitatsgesetz (n) law of

transitivity

Translation ( f ) translation

Translationsanteil ( m) translational

share or contribution

Translationsbestandtei l (m) trans-

lational componentTranslations freiheitsgr ad (m) transla-

tional degree of freedomTranslationsgruppe ( f ) translation

grouptranslationsinvariant (a) transla-

tion-invariantTranslativbewegung ( f ) translatory

motiontranslatorisch (a) translatory

transponieren (vt) transpose

Transponierte ( f ) transpose

trans versal (a) transversal

Transversale (f) transversal

111

Transversalensatz (m) transversal theo-rem

Transversal fl ache (f) transversal sur-

faceTrans vers alhyperflache ( f ) transversal

hy persurfaceTrans vers alltat (f) transversalityTransversalitatsbedingung ( f ) condition

for transversality

Transversal massstab (m) transverse scaleTrans vers alschwingung ( f ) transversal

or transverse vibrationTr ans vers al welle (f) transverse wavetranszendent (a) transcendental, trans-

cendentTranszendente ( f ) transcendental, trans-

cendentTranszendenz ( f ) transcendenceTranszendenzgrad (m) degree of trans-

cendenceTr apez ( n) trapezoid

tr apezf ormig (a) trapezoidalTrapezoeder (m) tr apezoh edrontrapezoedrisch ( a) trap ezohedralTrap ez oid (a) trapeziumtreff en (vt) meetTr effpunkt (m) meeting point

treiben (vt) carry

Trendabweichung (f) deviation fromtrend

Trendbereinigung ( f ) adjustment for

trend

trennbar (a) separableTr ennbarkeit (f) separability

trennen (vt) separateTr ennung ( f ) separationTrennungsflache ( f ) separating or divi-

ding surface, cleavage planeTrennungslinie ( f ) separating or dividing

line

Tr ennungspu nkt (m) separation point

Trennungsstrahl ( f ) separating ray or

line

Trennungszeichen (n) separation sign

Treppenfunktion ( f ) step functionTreppenpoly gon ( n) staircase curve or

polygon, histogramTriade ( f ) triad

triadisch (a) triadic

Triakisoktaeder (n) trigonal trisocta-

hedronTriakistetraeder (n) triakistetrah edron

Triangularz ahl (f) triangular numbertriangulieren (vt, vi) triangulate

Triangulierung (f) triangulationTridens (n) trident

Trieder (n) trihedronTrigonalzahl ( f ) triangular numberTrigonom etrie (f) trigonometrytrigonometrisch (a) trigonometrictriklinisch (a) triclinic

Tr illion (f) quintillion (in America),trillion (in Britain)

trimetrisch (a) trimetricTrinom (n) trinomialtrinomisch (a) trinomialTripel (n) triplet, triple

Tripelpunkt (m) triple pointTrisektion (f) trisection

Trisektrix ( f ) trisectrix

Tritopr isma ( n) prism of the third

orderTritopyra mide ( f ) pyramid of the

third orderTrivialitat (f) triviality

Trochoide (f) trochoidTrockenhohlmass (n), Trockenmass

(n) dry measuretropisch (a) tropical

Troposphare ( f ) tropospheretropospharisch (a) troposphericalTropus (m) trope

Troygewicht (n) troy weightTrugschluss (m) fallacy, paralogismTschebyscheff (N) Tchebysheff.

T. -Netz: net of TchebysheffTyp (m) typeTypenlehre (f), Typentheorie ( f

)

theory of types

typisch (a) typical

Typus ( m) type

uUbelstand (m) drawback, inconve-

nienceuber (prep ) above, overu'berabzahlbar (a) nondenumerableuberall (adv) everywhere(iberalldicht (a) everywhere dense-n J

Uberbundel ( n) hyperbundle, star

Uberbuschel (n) hyperpenciluberdecken (vt) cover-n

Uberdeckung ( f

)

coveringffberdeckungssatz (m) covering

theoremUberdeckungszahl ( f ) covering

numbermUberebene (f) hyperplane

112

iibereinanderlagern (vt) superpose,superimpose

Uber einanderlagerung (f) superpositionubereinanderlegen (vt) superpose, super-

im poseUbereinanderlegung ( f ) superpositionubereinstimmen (vi) agree with, coin-

cideM

Ubereinstimmung (f) agreementUberf lac he ( f ) hypersurfaceuberf liess end (a) redundantuberfuhren (vt) carry (over, into), trans'

formUber fuhrung ( f ) carrying (over, into),

transfer( ence) , transformationUberfuhrungssatz (m) transformation

or mapping theoremUber gang (m) passage, passing,

transition

Ubergangskur ye (f) transition curveUber gangspunkt (m) transition or con-

necting pointUbergangswahrscheinlichkeit (f) tran-

sition probabilityUbergangszone (f) transition zoneubergehen (vi) go (over, into), pass

iibergreif en (vi) overlapu b e r h o h

t

(a) excessive; leptokurticUberhohung ( f ) excess; leptokurtosis (of

the frequency curve)iiberl agern (vt) superpose, superimposeUberlagerun g (f) superpositionUberlagerungsflache ( f ) superimposed

surfaceuberlappen (vt) overlapTJber lappung (f) overlappingUberlappungsgebiet (n) overlapping

regionUb ermass ( n) excessuberm assi g (a) excessiveuberradikal (a) ultraradicalUberradikal (n) ultraradicalUberraum kurve ( f ) hyperspace curveuberschiessend (a) redundant-I,

Uberschlag (m) rough calculation, es-

tim ate

u berschl a g en (a) self- intersecting

U berscniagsrechnung (f) = Ubersch lag

uberschreiten ( vt) go beyond, exceedUberschuss (m) excessub ers teigen (vt) exceedubers tr eichen (vt) overlineMUberstreichung (f) overlining, vinculumubers tumpf (a) convex, reflex

(ibertragbar (a) transferable, trans-missibl e

Ubertragbarkeit ( f ) transferability,

transmissibility

ubertragen (vt) carry over, trans-fer, transmit

Ubertragung (f) transfer(ence) , trans-

missionNUbertragungsprinzip (n) principle of

transference; Study's correspon-dence principle

Ubertragungsspannung (f) trans-

mission voltageuberzahlig (a) superfluous, super-

numeraryubrig (a) remainingubriebleiben (vi) remainUbrigbleibende (n) remainderUbungs aufgabe (f) exercise

Ufer (n) bank, boundaryuferlos (a) without a boundary,

boundlessUhr (f) clock, watchUhrzeiger (m) hand of a clock or

watchUhrz eigersinn (m) clockwise direction

U- Kurve (f) U-curve, U-shapedcurve

Ultra kurzwelle (f) ultrashort

wave, microwaveUltraradika-1 (n) ultraradical

ultrareal (a) ultrareal

Ultraschallwelle (f) supersonic waveUl trastrahlung (f) cosmic radiation

Umdrehung (f) revolution, rotation

Umdrehungsachse (f) axis of revo-

lution or rotation

Umdr ehungsellipsoid (n) ellipsoid

of revolutionUmdrehungsflache ( f ) surface of

revolutionUmdrehungsgeschwindigkeit ( f ) speed

of revolution or rotation

Umdrehungshyperboloid (n) hyper -

boloid of revolutionUmdrehungskegel (m) cone of re-

volutionUmdrehu ngskorper (m) body or solid

of revolutionUmdrehungsparaboloid (n) parabo-

loid of revolutionUmdrehungspunkt (m) center of ro-

tation

Umdrehungszahl ( f ) number of re-

volutions

113

Umdr ehungszeit ( f ) period of revolution

Umdr ehungszylinder (m) cylinder of

revolutionUmfang (m) boundary, circumference,

perimeter, periphery; extent (of a

cone ep t)

Umfangspunkt (m) point on the circum-ference or perimeter

Um f angss ch werpunkt (m) centroid of

the perimeter or boundaryumfassen ( vt) comprehend, compriseum f assend (a) comprehending, compre-

hensiveu mf orme n (vt) transformUmformung ( f ) transformationUmformungsregel (f) transformation

rul e

Umgang (m) turn of a helix or screwUmgebung ( f ) neighborhoodum gekehr t (a) converse, inverse, in-

verted, reverseumgekehrt (adv) conversely, inverselyUm ge kehr te (n) inverseUmgestaltung (f) deformationUmgrenzung (f) boundaryumgruppieren ( vt) regroup, rearrangeUmgruppierung (f) rearrangementumhii lien (vt) envelope*Umhullende (f) envelopeUmhull un gsgebil de (n) envelope or

enveloping configurationUmhullungslinie ( f ) envelope curveumkehrbar (a) reversibleUmkehrbarkeit ( f ) reversibility

um kehr en (vt) invert, reverseUmkehrtheorem (n) converse theoremUmkehrung (f) converse, conversion,

inversion, reversionum kl appen (vt) turn over, revolve

into a planeUmklappung (f) turn, turning, revolvingUmkr eis (m) circumscribed circle,

circumcir cl e; scope, surroundings;circumference

um kr eisen (vt) circle or revolve aboutUm kr eismit telpu nkt (m) center of cir-

cumscribed circle, circumcenterUmkreisr a dius (m) radius of the circum-

scribed circleUmkreisung ( f ) circulationUmlauf (m) revolution; circulation.

U. auf einer Flache:circuit, or closed curve, on a sur-

face

umlauf en (vi) revolve, circulateUmlaufsgeschwindigkeit (f) velocity

of revolutionUmlaufsintegral (n) contour inte-

gral

Umlaufszeit (f) period of revolutionumlenken (vt, vi) deflect, deviate,

divert

Umlenksprisma (n) deviating prismumor dnen (vt) rearrangeUmordnung (f) rearrangementumranden (vt) border, boundUmrandung (f) border, boundaryumre chnen (vt) convertUmrechnung (f) conversion; (statist.)

adjus tm ent

Umr echnungsf aktor (m) conversionfactor

Umrechnungsformel (f) conversionformula

Umr echnun gs tabelle (f), Umrechnungs-tafel ( f ) conversion table

Umriss (m) contour, outlineUmrisslinie ( f ) contour line, outlineumschlingen (vt, vr) wind round,

twist

umschr eiben (vt) circumscribeumwandeln (vt) change (to, into),

convert (to, into), reduce (to),

trans form (into)

Umwandlung ( f ) change, conversion,reduction

unabgekiirzt (a) unabridgedunabgeschlossen (a) nonclosedUnabgeschlossenheit (f) nonclosureunabhangig (a) independentUnabhangigkeit (f) independenceUnabha ngigkeitssa tz (m) indepen-

dence theoremunbedingt (a) unconditionalunbegrenzt (a) unbounded, unlimi-

ted, limitless, boundlessUnbegr enztheit (f) boundlessnessunbekannt (a) unknownUnbekannte ( f ) unknownunbena nnt (a) absolute, abstract

unbeschr ank t (a) unboundedunbeschrankt (adv) without limit,

indefinitelyUnbeschranktheit (f) unboundednessunbestimmt (a) undetermined, in-

definite, indeterminateUnbestimmte (f) indeterminateUnbestimmtheit ( f ) indefiniteness,

indeterminacy

114

Unbestimmtheitsrelation (f) uncertainty

principle (of Heisenberg)unbeweglich (a) immovable, immobileUnbeweglichkeit ( f ) immobilityunbeweisbar (a) unprovableunbewiesen (a) unprovedunbezeichnet (a) unsigned (number)unbiegsam (a) inflexible, rigid

Unbiegsamkeit ( f ) inflexibility, rigidity

undefinierbar (a) indefinableUndefinierbarkeit (f) indefinabilityundefiniert (a) undefinedUndula tionspunkt (m) point of undula-

tion

Undulationstangente ( f ) undulatory tan-

gentUndulationstheorie ( f ) undulatory theoryundulatorisch (a) undulatory; (statist.)

cyclical, periodicalundulieren (vi) undulateunecht (a) improperunechtgebrochen (a) improper fractional

uneigentlich (a) improper; ideal

unelastisch (a) inelastic

unendlich (a) infinite, nonterminating,un en ding

Unendlich (n) infinity

unendlichbena chbart (a) infinitely

close

Unendliches (n) infinite, infinity

unendlichfern (a) infinitely distant

Unendlichkeit (f) infinity, infinitude

Uncndlichkeitsaxiom ( n) axiom of

infinity

Unendlichkeitspunkt (m), Unendlich-k eitsstelle (f) point at infinity

unentbehr lich (a) indispensableUnentbehrlichkeit ( f ) indispensabil ity

unentscheidbar (a) undecidableUnentscheidbarkeit (f) undecidability

unentwickel t (a) implicit

unerreichbar (a) unattainable, inacces-

sible

Unerreichbarkeit . (f) unattainability,

inaccessibilityUnfallversicherung ( f ) accident insur-

anceungeandert (a) unaltered, unchangedungefahr ( adv) about, approximatelyun gemischt (a) unmixedungenau (a) inaccurate, inexact

Ungenauigkeit (f) inaccuracyungeordnet (a) disarranged, irregular,

random

ungerade (a) odd (number); un-straight

Ungeradheit (f) oddness (of a num-ber); unstraightness

ungeradlinig (a) nonrectilinearUngeradlinigkeit (f) nonrectilinear-

ity

ungeradzahlig (a) odd-numberedungerichtet (a) undirectedUngerichtetheit ( f ) undirectednessungestort (a) undisturbedungeteilt (a) undividedungleich (a) unequal, unlikeungleichformig (a) nonuniform, in-

homogeneousUngleichformigkeit (f) inhomo-

geneity, variability

Ungleichheit (f) inequalityungleichmassig (a) nonuniformUngleichmassigkeit (f) nonuni-

for mityungleichnamig (a) unlike, dissimi-

lar

ungleichs eitig (a) scaleneungleichsinnig (a) opposite in sense

Ungl eichstr euung (f) heteroscedasti-

city

Ungleichung (f) inequality

Ungleichwertigkeit (f) unequalvaluedness

ungrade (a) odd (number); un-

str aigh t

Ungradheit (f) oddness (of a number);unstraightness

ungradlinig (a) nonrectilinear

Ungradlinigkeit ( f ) nonrectilinearity

ungiiltig (a) invalidUngultigkeit (f) invalidity

ungiinstig (a) unfavorableuniformisieren (vt) uniformalizeUniformisierung ( f ) uniform aliza -

tion

unikursal (a) unicursal

Unikursalkurve ( f ) unicursal curve

unitar (a) unitary

Unitarinvariante (f) unitary invari-

ant

Universalitat (f) universality

Universallehre (f) universal gaugeuniversell (a) universal

Universum (n) universe

unkorreliert (a) uncorrelated

unkurzbar (a) irreducible

unlosbar (a) unsolvable

115

Unlosbarkeit (f) unsol vability

unmessbar (a) immeasurableUnmessbarkeit (f) unm easurabili ty

unmi ttelbar (a) direct, immediateunnegiert (a) unnegatedunordentlich (a) disorderly

Unor dnung (f) disorder

unorienti ert (a) unorientedunpaarig (a) unpaired, oddunperiodisch (a) nonperiodicunregel m ass ig (a) irregular

Unregelmassigkeit ( f ) irregularityunrein (a) impure, nonpureunreinp erio dis ch (a) nonpure periodicunr el at ivis tisch (a) nonrelativisticunrichtig (a) incorrect

Unrichtigkeit ( f ) incorrectnessunscheidb ar (a) inseparableunsicher (a) uncertainUnsicherh eit ( f ) uncertaintyUnsicherh eitsprinz ip (n) uncertainty

principleUnsicherheitsrelation (f) uncertainty

rel at ion

unsichtbar (a) invisible

Unsichtbarkeit (f) invisibility

Unsinn (m) nonsenseunsinnig (a) absurd

Unsinni gkeit (f) absurdity

unstetig (a) discontinuousUnstetigkeit ( f ) discontinuity

Unstetigkeitspunkt (m), Unstetigkeits-

stell e (f) point of discontinuity

unstochastisch (a) nonstochasticUnsymmetrie (f) asymmetry, skewnessunsymmetrisch (a) asymmetric, skewunsys tema tisch (a) unsystematicunteilbar (a) indivisible

Unteilbar keit ( f ) indivisibility

un ten (adv) belowunter (a) lower, inferior

unter (prep.) below, underUnterabteilung (f) subdivision

Unterbereich (m) subdomain, subregionUnterdeterminante ( f ) subdeterminant,

partial determinant, minor (de-

terminant)Untereinheit (f) subunit

Unterfamilie (f) subfamilyUn tergang (m) setting

untergehen ( v i ) set

Un tergruppe (f) subgroupUntergruppenbildung (f) subclassifi ca-

tion

Unterideal (n) subideal

Unterkl a sse (f) subclass; lower class

(of cut)

Unterkomplex (m) subcomplexUnterkorper (m) subfieldUn term enge ( f ) subsetUntermodul (m) submodiileunternorm al (a) subnormalUnterraum (m) subspaceUnterring (m) subringUn tersatz (m) minor premiseUnterschied (m) differenceUnterseit e (f) lower side, bottomun terstreich en (vt) underlineUn terstreichung ( f ) underliningunter teilen (vt) subdivide; gradu-

ate

Unterteilung (f) subdivision; gradu-ation

untrennba r (a) inseparableUntrennbarkeit (f) inseparability

untreu (a) unfaithful

unumkehrbar (a) irreversible

Unumkehrbarkeit (f) irreversibility

unveranderlich (a) invariableUn veranderliche ( f ) invariableUnveranderlichkeit (f) invariability

unverbunden (a) unconnectedUn verbun denheit (f) unconnected-

ness, unrelatednessunvereinbar (a) incompatibleUn vereinbarkeit ( f ) incompatibilityunvergleichbar (a) noncomparable,

incomp arableUn vergleichbarkeit ( f ) incompara-

bility

unverkurzbar (a) irreducible, irre-

dundantun verneint (a) unnegatedun verschieblich (a) indisplaceable,

location- fix ed

un vertraglich (a) incompatible, in-

consistentUn vertr aglichkeit (f) incompatibility,

inconsistencyun verzinslich (a) non -interest-

bearingun vollkommen (a) imperfectun volls tandig (a) incompleteUn vollstandigkeit (f) incomplete-

ness

un wahrscheinlich (a) improbableUnwahrscheinlichkeit (f) improb-

ability

unwesentlich (a) unessential, non-ess ential

116

unzahlbar (a) innumerable, uncountableUnzahlbarkeit ( f ) innumer abilityunzahlig (a) innumerable, uncountableUnzahligkeit (f) innumerabilityUnze ( f ) ounceunzerlegbar (a) indecomposableUnzerlegbarkeit ( f ) indecomposabilityunzusammenhangend (a) unconnectedunzweideutig (a) unambiguousUrbild (n) original (image), preimageUr flach e (f) original or inverse sur-

face

Urkurve ( f ) original or inverse curveUrsache (f) causeurs achlich (a) causalUrsprung (f) originurspriinglich (a) original

Ursprungstangente ( f ) tangent at the

origin (of coordinates)Urtabelle ( f ) Urtafel ( f ) primary (re-

ference) table

Urteil (n) judgmenturteilen (vt, vi) judgeUrteilungslehr e (f) theory of judgmentUrzustand (m) primitive state, original

or initial state

VVakuum (n) vacuumVandermonde ( N ) Vandermondesche

Determinante: Vandermonde or

power determinantvariabel (a) variableVariabilitat (f) variability

Variabilitatsindex (m) measure of dis-

persionVariable (f) variableVariabl enreihe (f) series of variables

Variabl ensubstitution ( f ) substitution of

variables

Variation ( f ) variation; (statist.) dis-

persion

Variationsbreite ( f ) range of variation

Variationsprinzip (n) variational prin-

ciple

Variationsproblem (n) variational prob-lem

Variationsprozess (m) variational pro-

cess

Variationsrechnung (f) calculus of vari-

ations

Variationsvorschrift (f ) prescribedvariation

variieren (vt, vi) vary

Vektor (m) vector

Vektorabbildung ( f ) vector mappingVektoraddition (f) vector additionVektoralgebra ( f ) vector algebraVektoranalyse ( f ) vector analysisvektoranaly tisc h (a) vector-ana-

lytic

Vektorbild (n) vector diagramVektordefinition (f) definition of

a vectorVektordiagramm (n) vector diagramVektordichte (f) vector densityVektordivision (f) vector divisionVektordreieck (n) vectorial triangleVektoreigenschaft ( f ) vector prop-

erty

Vektorfeld (n) vector field

Vektor form ( f ) vector formVektor formel (f) vector formulaVektorfun ktion (f) vector functionVektorgerust (n) vectorial frame

(work)

Vektorgleichun g (f) vector equationVektorgrosse (f) vector quantityvektoriell (a) vectorial, vectorVektorkal kul (m) vector calculusVektorkomponente ( f ) vector com-

ponentVektorkorper (m) vector domainVektorkrummung (f) vector curva-

ture

Vektorlinie ( f ) line of flux or flowVektormannigfaltigkeit (f) vector

manifoldVektormodell (n) vector model (of

an atom)Vektormultiplikation ( f ) vector mul-

tiplication

Vekt oroperator (m) vector operatorVektorpoly gon (n) vectorial poly-

gonVektorpotential (n) vector poten-

tial

Vektorprodukt (n) vector product,

cross or outer productVektorr aum (m) vector spaceVektorrechnung (f) vector calculus

or analysis

Vektorschreibweise (f) vector no-

tation

Vektorsubtraktion (f) vector sub-

traction

Vektorsumme (f) vector sumVektoriibertragung ( f ) vector trans-

ferenceVektorwinkel (m) vectorial angle

117

verallgemeinern (vt) generalize

Verallgemeinerung ( f ) generalization

veranderlich (a) variable; v. sein:

vary. dieser Vektor is zeitlich v.:

this vector varies with the timeVeranderl iche ( f ) variable

Veranderlichkeit (f) variability

verandern (vt) alter, change, vary;

(vr) change, fluctuate, vary

Veranderu ng (f) alteration, change, vari-

ation

veranschaulichen (vt) represent graphi-

cally, visualize

Veranschaulichung ( f ) graphic repre-

sentation, visualizationVerarbeitung (f) condensation (of a

table)

verastelt (a) branched, ramifiedVerastelung ( f ) ramificationverbess er n (vt) correct, improve, refine

Verbesserung (f) corr ec tion, impr o v e-

ment , refinementverbiegbar (a) bendable, deformableVerbiegbarkei t (f) deformalityverbiegen (vt) bend, deformVerbiegun g ( f ) deformationverbinden (vt) connect; (vt, vr) com-

bineVerbindung ( f ) connection, combina-

tion

Verbindungsgerade (f), Verbindungslinie(f) connecting line

Verbindungsmenge ( f ) product of the

second kind(in set theory)Verbindungspunkt (m) connecting point

Verbindungsr aum (m) connectingspace

Verb indungs vektor (m) connecting vec-

tor

Verb indun gs

z

eichen (n) connection or

connective sign

verbunden (a) combined, connected,joint

V er bu nd e nhe it (f) connectednessverdich ten (vt, vr) condense, compressVer dichtung ( f ) compression, con-

densation; (statist.) reduction (of

data)

Verdichtungspunkt (m) condensationpoint

verdicken (vt) thickenVerdickung ( f ) thickeningverdopp eln (vt, vr) double, duplicateVerdopplung ( f ) doubling, duplication

verdr a 1 1 en (vt) twist; wrenchVerdral lung ( f ) twisting; wrenchVerdrallungsz ahl (f) number of

twis tings

verdrehen (vt) contort, distort,

twist, warpVerdrehung ( f ) contortion, twist

verdrillen (vt) twist, wrenchVerdrillung (f) twisting; wrenchVerdrillungszah l (f) number of

tw is tin gs

vereinf achen (vt) simplify

Vereinf achung (f) simplification

ver einigen (vt, vr) combine, join,

unite

vereinigt (a) conjoint, united

Vereinigung (f) combination, join,

unionVereinigungsaxiom (n) axiom of

combin ation

Vereinigungsklasse ( f ) union or

join of classes

Vereinigungsmenge (f) join or sum or

union of sets

verengen (vt) constrict, narrow

Verengung (f) constriction

verf ahren (vi) proceedVerf ahr en (n) process, method,

procedureverfeinern (vt) refine

Verfeinerung (f) refinementVerfeinerungssatz (m) refinement

theoremverfestigen (vt) strengthen, reinforce;

solidify; (vr) become stronger or

reinforced; become solid

Verfestigung ( f ) solidification;

strengthening.reinforcementverfinstern (vt) darken; eclipse,

occultVerfinsterung ( f ) darkening; eclipse;

occultation (of a star)

Verfolgerungskurve (f) curve of pur-

suit

verformen (vt) deform, mold; (vr)

become deformedVerformung ( f ) molding; deforma-

tion, strain

Verformungsellipsoid (n) strain el-

lipsoid

Verformungsstufe (f) deformation

stage or step

verfilnf fachen (vt) quintuple

Verfunffachung (f) quin tuplica tion

118

Vergleich (m) comparisonvergleichbar (a) comparableVergleichbarkeit ( f ) comparabilityVergleichbarkeitssatz (m) theorem of

comparabilityvergl eichen (vt, vr) compareVergleichsflache ( f ) comparison sur-

face; comparable or admissible sur-

faceVergleichsfunktion (f) comparison func-

tion; majorizing or dominant func-tion

Vergleichskurve ( f ) comparison curve;comparable or admissible curve

Vergleichslange (f) standard lengthVergle ichsmass -stab (m) standard of

comparisonVergleichsversuch (m) comparative

test

Vergleichswer t (m) comparative or

comparable valueVergleichung (f) comparisonVergleichungsfunktion (f) function of

comparison; majorizing or domi-nant function

vergrossern (vt) enlarge, magnify, in-

creas e

Vergrosserung ( f ) enlargement, magni-fication, increase

V ergro ss eru ngsm ass - stab (m) scale of

enlar gem ent

verhalten (vr) behave; bear a relation-

ship or proportion (to a thing).

sich umgekehrt v. zu:

to be in inverse ratio to

Verhalten (n) behaviorVerhaltnis (n) ratio, proportionVerhaltnisanteil (m) proportionate share

verhaltnisgleich (a) proportionalVerhaltnisgleichheit ( f ) proportionality

Verhaltniskoordinaten (fpl.) ratio co-ordinates; trilinear coordinates

verhaltnismassig (a) proportional,

proportionate, relativeVerhaltnisz ahl (f) rate, ratio, percen-

tageVerif ikation ( f ) verificationverifizieren (vt)' verify

Verif iz ierung ( f ) verificationverj ungen (vt) scale down, reduce (in

scale)

Verjungung ( f ) reduction (in scale)

verkehrt (a) reverse, inverse, invertedverke tten (vt) link; correlate

Verkettung (f) linkage; correlationverkleinern (vt, vr) diminish, reduceVerkleinerung ( f ) diminution, re-

ductionverknoten (vt, vr) interlace, loopverknupfen (vt) combine, interre-

late, link

Verknupfung ( f ) combination, con-nective, connection, linkage,linking

Verknupfungsschema ( n) connectivesch erne

verkoppeln (vt) couple, link

Verkoppelung ( f ) coupling, linkageverkurz en (vt) shorten; (descr.)

foreshortenVerkiirzung ( f ) shortening; fore-

shorteningverlangern (vt, vr) extend, lengthen,

prolongverlangert (a) elongated, prolate

Verlangerung (f) extension, lengthen-ing, prolongation

verl angsamen (vt, vr) slow down,retard

Verlauf (m) behavior, course; shapeverlauf en (vi) run along, proceed;

pass ; b ehaveV e r 1 u s t (m) loss

Verlusterwartung (f) expectation of

loss

verm ehren (vt, vr) increase

Vermehrung ( f ) growth, increase

verm essen (vt) surveyVermesser (m) surveyorVermessung (f) survey (ing)

vermindern (vt, vr) diminishVerminderung ( f ) diminutionVermutung (f) conjecturevernachlass igen ( vt) neglect

Vernachlassigung (f) neglect, neg-

lecting

verneinen (vt) deny, negateverpflanzen (vt) transfer

Verpflanzung (f) transference

verrechnen (vt) miscalculateverringern (vt, vr) diminishVerringerun g (f) diminutionverrucken (vt, vr) displace

Verriickung ( f ) displacementverschieben (vt, vr) displace,

shift, moveverschieblich (a) movable, displa-

ceable

119

Verschiebung (f) displacementVerschiebungsanteil (m) displacement

portion or contributionVerschiebungsfaktor (m) displacement

factor, coefficient of displacementVerschiebungsgesetz (n) displacement

principle (of Levi-Civita)verschleifen (vt, vr) loopverschlingen (vt, vr) intertwine, loopVerschlingung ( f ) intertwining, loopingVerschlingungszahl (f) looping coeffi-

cient

verschlungen (a) intertwined, tortuous,

twisted, windingVerschlungenheit ( f ) tortuousnessverschlusseln (vt) codeVerschlusselung ( f ) codingverschneiden (vt, vr, v. recip.) intersect

Verschneidung ( f ) intersectionverschwinden (vi) vanishVerschwindungslinie ( f ) vanishing line

Verschwindungspunkt (m) vanishingpoint

versichern (vt) insure

Versicherter (m) insured personVersicherung ( f ) insuranceVersicherungsleistung (f) insurance

benefitVersicherungsmathematik ( f ) insurance

mathematicsVersicherungsmathematiker (m) actuaryVersicherungsnehmer (m) insured per-

son

Versicherungspolice (f) insurancepolicy

Versicherungsschein (m) insurance(policy)

Versicherungsstatistik (f) actuarial or

insurance statistics

Versicherungsstatistiker (m) actuaryVersicherungstrager (m) insurer

Versicherungswesen (n) insurance mat-ters

Versier a (f) witch of Agnesi, versieraversehen (vt) assign, equipversetzen (vt) permute, transposeversetz t (a) shifted, transposedVersetzung (f) permutation, rearrange-

ment, transpostion; dislocationVersetzungsregel ( f ) rule of transposi-

tion

versinnbildlichen (vt) symbolizeVersinnbildlichung (f) symbolizationVersuch (m) attempt, experiment, test

versuchen (vt) attempt, try

Versuchsfehler (m) experimentalerror

Versuchsmethode (f) trial methodVersuchsreihe ( f ) experimental or

trial series

vertauschbar (a) interchangeable,permutable; commutable

Vertauschbarkeit (f) interchange-ability, permu tability; commu-tability

vertauschen (vt) exchange, inter-

change, transpose, commute,permute

Vertauschung (f) exchange, inter-

change, transposition, commu-tation, permutation

Vertauschungsformel ( f ) transposi-

tion formulaverteilen (vt) distribute, spread;

(vr) be distributed, spread,

or dispersedVerteilung (f) distribution; dis-

persion, variationVerteilungsdichte (f) distribution

density

Verteilungsfunktion (f) distribution

functionVerteilungs gesetz (n) distributive

law

Verteilungskurve (f) distribution

curveVerteilungsmass (n) measure of

distribution or variationVerteilungsnetz (n) distribution

networkVerteilungsparameter (m) distri-

bution parameterVerteilungs taf el ( f ) frequency

table

vertikal (a) vertical

Vertikal (m) vertical circle

Vertikalachse (f) vertical axis

Vertikale ( f ) vertical line, per-pendicular

Vertikalebene ( f ) vertical planeVertikalitat (f) verticality

Vertikalkomponente (f) vertical

componentVertikalkreis (m) azimuthal or ver-

tical circle

Vertikallinie (f) vertical line

Vertikalprojektion ( f ) orthographicor vertical projection

120

Vertikalrichtu ng (f) vertical direction

Vertikalschnitt (m) vertical section

Vertikalstreifen (m) vertical strip

vertraglich (a) compatible, consistent

Vertraglich keit ,(f) compatibility, con-sistency

Vertraglichkeitsbedingung (f) compati-bility condition

vervielf achen (vt) multiplyVervielfachung (f)- multiplicationvervollstandigen (vt) completeVervollstandigung (f) completionverwandeln (vt, vr) change, convert,

reduce, tranformVerwandlung (f) conversion, change,

transformation, reductionVerwandlungstafe l ( f ) conversion table

verweisen (vt) refer (to)

Verweisung ( f ) cross referenceVerwirklichung (f) realizationverzeichnen (vt) distort

Verzeichnung (f) distortion (of magnifi-cation), kissenfor mige V.:

pillow or pincushion distortion

tonnenf ormige V.: barrel distortion

verzerren (vt, vr) deform, distort

Verzerrung (f) deformation, distortion;

strain

verzerrungsfrei (a) free from distortion,

undistorted, distortionless

Verzerrungsfreiheit (f) freedom fromdistortion

Verzerrungstensor (m) deformation or

distortion tensor, strain tensor

verzinsen (vt) pay interest; (vr) bearinterest

verzinslich (a) interest-bearingVerzinsung (f) yield of interest

verzweigen (vr) branch, ramifyverzweigt (a) branched, ramifiedVerz weigung (f) branching, ramificationVerzweigungsgruppe (f) branch-point

groupVerzweigungspunkt (m) branch(ing)

point, winding pointVerzweigungsschnitt (m) branch(,ing)

section, branch cut or line

vibrieren (vi) vibrateviel (a) much; viele (pi.) manyvielblattrig (a) many-sheetedvieldeutig (a) multivaluedVieldeutigkeit (f) multivaluedness,

multiplicityVieleck (n) polygon

vieleckig (a) polygonalVieleckszahl (f) polygonal numbervielfach (a) manifold, multipleVielfache (n) multipleVielfachfeld (n) multiple field

Vielfachheit (f) multiplicityvielfaltig (a) multipleVielfaltigkeit ( f ) multiplicityVielflach (n) polyhedronvielflachig (a) polyhedralVielflachner (m) polyhedronvielgliedrig (a) polynomialVielheit ~(T) multiplicityVielkant (n) polyhedral (angle)vielseitig (a) many-sided, polygo-

nal

vielstellig (a) of many digits or

placesvielteilig (a) multipartitevielwertig (a) multivaluedViel wertigkeit (f) multiplicity,

multivaluednessvier four

Vier ( f ) four

Vierblatt (n) quadrifoliumvierdim ensional (a) four- dimensionalVierdimensionalitat (f) four-dimen-

sionality

Vierebenenkoordinate ( f ) quadri-

planar coordinateViereck (n) quadrangle, quadrila-

teral

viereckig (a) quadrangularVierecksf lache ( f ) area of quadri-

lateral, (surface of) quadrila-

teral

Viereckskurve ( f ) quadrangular curve

Viereckszahl (f) square numberVierer (m) four

Vierergruppe (f) four-groupViererkraft ( f ) four-force

Vierertensor (m) four-tensor

Vierervektor (m) four-vector

vierfach (a) fourfold, quadrupleVierfarbenproblem (n) four-color

problemVierflach (n) tetrahedron

vierflachig (a) tetrahedral

Vierflachner (m) tetrahedron

viergliedrig (a) four -termed, quadri-

nomial; four-place, tetradic;

four-parameter; four -membered;(statist.) tetrachoric

Vierheit ( f ) tetrad

121

vierhun dert four hundredVierkant (n) tetrahedral (angle)

vierm al four timesviermalig (a) (done) four timesV lerpol (m) quadripolevierp olig (a) tetrapolarvierpunktig (a) four-pointVi erscheitelsatz (m) four-vertex theo-

rem for ovals

Vierseit (n) quadrilateralvierseitig (a) four-sided, quadrangular,

quadril ateral

Vierspitz (m) tetracuspidVierspitz ensatz (m) C aratheodar y's

four-vertex theorem (for envelopes)vierspitzig (a) four-cusped, tetracus-

pTd

vierstellig (a) four-place, four-digit,four- figure

viert fourth

vierteilig (a) quadripartiteVierteilungspunkt (m) quarter pointViert el (n) one-fourth, quarterViertel kreis (m) quadrant of a circle,

quarter circle

Viertelkr eisbogen (m) quadrant arc (of

a circle)

Viertelpy ramide ( f ) tet artopyr amidviert elsfl achig (a) tetartohedralViertelsfl achner (m) tetar tohedr on

Viert elspunkt (m) quarter pointViertelswert (m) quartileViertelswertabstand (m) quartile

deviationviertens (adv) fourthlyVierundz wanzigflach (n), Vierundzwan-

zigf 1 achner (m) icositetrahedron,trisoctahedron

vierw ertig (a) four-valuedVierwertigkeit (f) four- valuednessVierz ahl (f) tetrad

vierz ahlig (a) fourfold, quadruple;tetr a gonal

Vierz ahligkeit (f) quadruplicity ; tetra-

gonalityvierz ehn fourteenv i e r z i g forty

vierzigst fortieth

vir tuell (a) virtual

Vize kugel ( f ) imaginary sphere (of

complex, inversion)voll (a) complete, full

vollflachig (a) holohedralVollf lachner (m) holohedron

vollkommen (a) perfectVollkreis (m) full circleVollkugel (f) full sphere; solid

spherevollstandig (a) complete, perfect,

total

Vollstandigkeit (f) completenessVollstandigkeitsaxiom (n) axiom of

completenessVollstandigkeitsbeziehung (f) com-

pleteness relationVollstandigkeitssatz (m) complete-

ness theoremvollstetig (a) completely continuousVolls tetigkeit ( f ) complete conti-

nuity

Vollwinkel (m) round angle, perigonVolumaus dehnung (f) volume expan-

sion

Volumeinheit ( f ) unit of volumeVolumelement (n) element of

volumeVolumen (n) volumeVolumendifferential (n) differential

of volumeVolumenintegral (n) volume inte-

gral

volumetrisch (a) volumetricVolumprozent (n) percent by volumevolumtreu (a) volume -preservingVomhundertsatz (m) percentagevoraussetzen (vt) assume, posit, pre-

supposeVor aussetzung (f) assumption, hy-

pothesis, premiseVorbemerkung ( f ) preliminary re-

markvorder (a) front, preceding.

vordere Derivierte: progressive

or front derivative

Vorderansicht ( f ) front viewVorderecke ( f ) front corner

Vorderf lache (f) front face

Vorderglied (n) antecedent (of

a ratio); (log.) first componentVorderkante ( f ) front edgeVorderkegel (m) front or forward

coneVordersatz (m) antecedent sen-

tenceVorderseite ( f ) front side, face

vorderst (a) foremostVorgang (m) event, occurrence,

phenomenon; process

122

Vorganger (m) predecessorVorgangerabzahlung (f) count(ing) of

predecessorsVor gangsm asse ( f ) statistical universe

of cumulative data

vorst ellbar (a) intuitable

Vorst el lbarkeit (f) untuitabilityvorst el len (vt) represent, visualizeVorstellung ( f ) mental image, intuitive

idea

vorlaufig (a) provisional, temporaryvornhinten (a) front- to- backVorra

t

(m) range (of a matrix, set,

transform ation)

vorriicken (vi) advanceVorrii cken (n) advancevorspringend (a) projecting, salient

Vorzahl (f) coefficient

Vorz eichen (n) algebraic sign

Vorz eichenregel (f), Vorz eichensatz(m) rule or law of signs

Vorzeichenumkehrung (f) reversal of

sign

Vorzeichenwechsel (m) change in sign

wWaage (f) balance, scales

waagrecht (a) horizontal, level

Waagschale ( f ) scale (of balance)

wachsen (vi) grow, increasewachsend (a) increasingWachsendes ( n) increasing entity

Wachstum (n) growth, increase

Wachstumsfrage ( f ) problem of increase

or growthWachstumskur ve (f) growth curveWachstumspunkt (m), Wachstumsstelle

( f ) point of increaseWage (f) = Waagewa gen (vt) weighWahl (f) choice, selection

wahlen (vt) choose, select

wahllos (a) randomwahr (a) true, correct

Wahrheit ( f ) truth

Wahrheitsfunktion ( f ) truth function

Wahrheitsgehalt (m) truth content

Wahrheits wert (m) truth value

wahrscheinlich (a) probable, likely

Wahrscheinlichkeit ( f ) probability,

likelihood, chance, odds

Wahrscheinlichkeitsamplitude ( f

)

probability amplitudeWahrscheinlichkeitsbegriff (m) concept

of probability

Wahrscheinlichkeitsbes timmung ( f

)

determination of probabilityWahrscheinlichkeitsdichte (f) prob-

ability densityWah rscheinlichkeitsfaktor (m) prob-

ability factor

Wahrscheinlichkeitsfunktion (f)

probability functionWahrscheinlichkeitsgesetz (n) law

of probabilityWahrscheinlichkeitskurve ( f ) prob-

ability curveWahrscheinlichkeitsnetz (n) prob-

ability paperWahrscheinlichkeitsrechnung ( f)

calculus or theory of probabilityWahrscheinlichkeitsskala ( f ) prob-

a bility paperWahrscheinlichkeitswelle ( f ) proba-

bility waveWappen (n) Kopf oder W . , Schrift

Oder W : heads or tails

Warme (f) heatWarmeausdehnung (f) thermal ex-

pansionWarmelehre ( f ) theory of heat, ther-

modynamicsWarm el eiter (m) heat conductorWarmeleitung (f) heat conductionWarm el eitungsgl eichung (f) heat

conduction equationWarm em enge ( f ) quantity of heat

Warmesch wankung ( f ) thermal fluc-

tuationWarmestrahlung ( f ) heat or thermal

radiationWarm es trom (m) heat flow

Wasserlibelle ( f ) water level

Wasseruhr (f) water clock

Wasserwaage (f) water level

Wattstunde (f) watt-hourWechse 1 (m) change, variation;

alt erna tion

Wechselbeziehung (f) correlation

Wechselkeile (mpl) pair of alter-

nate dihedral angles,

innere (aussere) W.: interior

(exterior) dihedral angles

wechseln ( vt, vi) change, vary;

alt erna te

wechselseitig (a) mutual, recipro-

cal

Wechselwinke l (m) one of a pair of

alternate angles

Wechselwirkung (f) interaction

123

Weg (m) path, track, way; course, dis-

tanceWegdif ferenz (f) difference in path

length

Wegf all (m), Wegf alien (n) cancel-lation

wegfallen (vi) cancel (out)

wegheben (vr) cancel (out)

Wegkurve ( f ) hodographWegl ange ( f ) length of path

wegnehmen (vt) take away, deductWegnahme (f) deduction, subtraction

we gschaff en (vt) cancel, removeWegschaf fung ( f ) cancellation, removalwegs treichen (vt) strike out, reject,

discard

Wegunterschied (m) path length differ-

enceweisen (vt) point

weWeweWe

WeWe

WeWe

WeWeWe

WeWeWe

WeWeweWeWeWeWe

WeWeWeWeWe

WeWe

t (a) broad, wide; far, remotete (f) breadth, width; distance

terfuhren (vt) continue, extrapolateterfuhrung ( f ) continuation; extra

polationle (f) wave1 enbewegung (f) undulatory or wavemotion, undulationlenflache (f) wave surface

lenfortpflanzung ( f ) transmission or

propagation of waves1 engleichung (f) wave equation1 enlange (f) wave lengthlenlehre (f) wave theory, undula-tory theory

1 enmechanik ( f ) wave mechanicslenoptik (f) wave optics

lentheory (f) wave theory, undula-tory theorylenzahl ( f ) number of wave lengths

1 enzug (m) wave train

lig (a) wavy

^ ( f ) universe, worldtachse (f) celestial axis

tfunktion (f) world function

tgesetz (n) universal or cosmiclawtkarte (f) world maptkanal (m) world, canaltkorper (m) celestial bodytlinie ( f ) world line

tlinienelement (n) world line ele

menttmetrik (f) world metricstpunkt (m) world point, here-nowpoint, space-time point

Weltraum (m) cosmic or universal

spaceWeltrichtung (f) world direction

Weltstrahl (f) cosmic ray

Weltstr ahlung ( f ) cosmic radiation

Weltsys tern (n) cosmic systemWelt vektor (m) world vectorWendeasymptete (f) inflectional

asymptoteWendekreis (m) tropic

Wendel ( f ) helix, spiral

Wend elflache ( f ) screw surface,

helicoidal surface

Wendelinie (f) asymptotic curve

( of surface)

Wendeltreppe (f) spiral staircasej

screw or spiral surface

wenden (vt, vr) turn

Wendepunkt (m) point of inflection,

flex point; (astr.) solstial pointWendepunktsform (f) inflectional

form of equation (of curve)Wendetangente (f) inflectional or

stationary tangentWendung (f) flexion; turn; contrary

flexure

Wert (m) value, worthWertbereich (m) range of valuesWertegruppe (f) group of valuesWertepaar (n) pair of valuesWertetripel (n) trio of values

Wertevorrat (m) range of values

wertgebend (a) significant

Wertigkeit (f) valuedness; (chem.)valence

Wertigkeitskorrespondenz ( f ) valued-

ness correspondenceWertmass ( n) standard of valueWertmass -stab (m) = WertmassWertmenge (f) set of values

Wertmesser (m) standard of valueWertreihe (f) series of values

Wertschatzung ( f ) appraisal, evalu-

ation

Wertsystem (n) system of values

West (m), Westen (m) west

westlich (a) westerly, western

Westpunkt (m) west point

W-Flache ( f ) Weingarten surface,

W-surfaceWidersinn (m) absurdity

widersinnig (a) absurdity

widersprechen (vt, vi) contradict

Widerspruch (m) contradiction

widerspriichlich (a) contradictory,

inconsistent

124

Widersprilchlichkeit ( f ) inconsistency,

contr adictoriness

widerspru chsfrei (a) free from contra-

diction, consistent, compatibleWiderspruchsfreiheit ( f ) freedom from

contradiction, consistency, com-patibility

Widers tand (m) resistance

Widerstreit (m) contrariness

wiederhol en (vt, vr) repeatwiederhol t (a) repeatedWiederholung ( f ) repetition

Wiederkehr ( f ) recurrence, return

wiederkehren (vi) recurwied er k ehrend (a) recurring, repeating,

returningwiegen (vt, vi) weighW i 1 Ik \1 r ( f ) arbitrariness

willku rlich (a) arbitrary

Wi 11 kiir lich keit (f) arbitrariness

winden (vt, vr) wind, twist

W i ndrose ( f ) compass card, wind rose

windschief (a) skew, warpedWindschiefe (f) skewnesswindschnittig (a) streamlinedWindung (f) winding; convolution (of

a surface); thread or turn (of a helix,

a screw); torsion (of a space curve)

Windu ngsf 1 ache (f) winding surfaceWindungspunkt (m) winding point

Wi ndun gs winkel (m) angle of torsion

Windungs zahl ( f ) number of turns or

windingsWinkel (m) angleWi nk el ablenku ng (a) angular deflectionWinkel abstand (m) angular distanceWinkel berechnung ( f ) angle computationWinkelbereich (m) angular regionWink el beschleunigung (f) angular ac-

celerationWinkelbestimmung ( f ) angle determi-

nationWink el be wegung ( f ) angular motionWinkel differential (n) differential of

angleWink el dis tanz ( f ) angular distance

Winkeleinheit ( f ) angular unit

Wink elfel d (n) field of anglewinkelformig (a) angularWinkel funktion (f) trigonometric func-

tion

Wink el gesch wind igkeit (f) angular

velocityWi nk el gle ichu ng ( f ) angle equation

Winkel gra d (m) angular degreeWinkelhalbierende ( f ) angle bi-

sector

winkelig (a) angularWinkel koordina ten ( f pi ) angle

coordinatesWink elmass (n) angular measureWinkelmess er (m) protractorWinkelmessung (f) gonlometryWinkelminute ( f) angular minuteWinkel of fnu ng (f) angular opening

or apertureWink elraum (m) angular spaceWinkelsekunde ( f ) angular secondWinkelsumme (f) angular sumWinkelsy mmetra le ( f ) angle bisector

Winkel tabelle (f) table of anglesWinkeltransporteu r (m) protractor

winkeltreu (a) angl e- pr es erving,

conformal, isogonalWinkeltreue ( f ) preservation of

angles, isogonalityWinkel variable ( f ) angle variableWinkel verschiebung ( f ) angular

displacementWintersonnenwend e ( f ) winter sol-

stice

Wirbel (m) curl; (phys.) vortex

Wirbelbew egung ( f) vortex motionWirbelfeld (n) field of vorticity,

rotational field

wirbelfrei (a), wirbel los (a) free

from vortices, irrotational

Wirbelquelle (f) vortex source

Wirbelring (m) vortex ring

Wirbelzeit, (f) vortex period

Wirbelzentrum (n) vortex center

wirken (vi) take effect; w. auf .

acton, a f f ect

wirklich (a) actual, real

Wirklichkeit ( f ) reality

Wirkung (f) effect; action, power

Wirkungsbereich (m) range of ef-

fectiveness; (log.) scope (of

a s y mbol)Wirkungsfunktion (f) action function

Wirkungsgesetz (n) action principle

Wirkungsgrad (m) effectiveness, ef-

ficiencyWirkungsgradbestimmung ( f ) effi-

ciency test

Wirkungsgross e action function

Wirkungskraft ( f ) effective force

Wirkungsprinzip (n) action principle

125

Wirkungsquantum (n) quantum of ac-tion

Wirkungs variabl e (f) action variableWissenschaf t (f) sciencewissenschaf tlich (a) scientific

W- Kurve (f) integral curve of Jacobi's

differential equation, W-curveWoche ( f ) weekwoch entlich (a) weeklyw ohlabgegrenzt ( a ) w ohldefinier t ( a

)

well- definedwohl geordne t (a) well-orderedwohl ordnen (vt) render well-orderedWohlor dnung (f) well - or deringwolben (vt) make convex; (vt, vr)

form an arch or a vault

Wolbung (f) convexity; arch, vault

Wuls t (m) ring surface, anchor ring,

torus

wulstformig (a) toroidal

Wurf (m) throw; anharmonic set of

elem en ts, cast

Wurf bahn ( f ) trajectory

Wurfbewegung ( f ) projectile motionW ii r f e 1 (m) cube, hexahedron; die

(pi . dice)

wurf el n (vi) cast or throw dice

Wurf lehre (f) ballistics

Wur f linie ( f ) trajectory

Wurf parabel ( f ) trajectory parabolaWurz el ( f ) root, radix, radical

Wurz el ausdruck (m) radical, surd

Wurzelausziehen (n), Wur zelausz iehung( f ) extraction of roots, evolution

Wurz el ex is tenz ( f ) existence of a root

Wurzelexistenzbeweis (m) proof of the

existence of a root

Wurz el exponent (m) radical indexWurz el fak tor (m) root-factorWu rz el gross e ( f ) root element (of a

ring)

Wurz el korpe r (m) root field

Wurz el vergrosserung ( f ) increase of

root( s)

Wurz el verkl einerung ( f ) decrease of

root( s)

Wurz el wert (m). value of a root

Wurz el z eich en (n) radical sign

Wurzel Ziehen (n), Wurz elziehung (f)

root extraction, evolution

Xx- Achse (f) x-axisxenomorph (a) xenomorphic

Xenomorphie (f) xenomorphismXi (IT) Greek letter xi (S>. 6)

x-Koqrdinate (f) x-coordinatexy-Ebene (f) xy-plane

Yy- Achse (f) y-axisYardmass ( n) yardsticky- Koor dinate (f) y-coordinateYpsilon (n) Greek letter upsilon

(T v)

yz -Achse ( f) yz-axis

z - Achs e (f) z-axisZahl ( f ) number, figure, digit

Zahl art (f) kind of numberZahl begrif f ( m) number conceptZahl einheit (f) unit of countingzahl en (vt, vi) count, numberZahl en (n) countingZahl enachse ( f ) number axis

Zahlenangabe ( f ) assignment of

numerical valuesZahl enbeispiel (n) numerical ex-

ampleZahl enbereich (m) number domain

or field

Zahl endreieck (n) number triangle

Zahlenebene (f) number plane,

Gauss's complex planeZahlenfaktor (m) numerical factor

Zahlenfolge (f) sequence of num-bers, numerical order

Zahlengerade ( f ) number scale or

axis

Zahlengleichun g (f) numericalequation

Zahl en klass e (f) number class

Zahlenkombination (f) combinationof numbers

Zahlenkongruenz (f) congruence of

numbersZahlenkontinuum (n) continuum of

nu mbersZahlenkorper (m) number field

Zahlenkugel ( f ) Riemann sphere

Zahlenlehre (f) theory of numbersZahlenlinie ( f ) number scale or

axis

zahlenmassig (a) numerical, quan-

titative

Zahlenmenge ( f ) set of numbers,

number set

126

Zahl enmodu 1 (m) number moduleZahlenpaar (n) pair of numbersZahlenpolygon (n) number polygonZahlenquadrat (n) number squareZahl enraum (m) number spaceZahl enrechnung ( f ) numerical com-

putationZahl enreihe (f) number series

Zahlenring (m) number ring

Zahl enspr ache (f) number languageZahl ensymbol (n) number symbol,

numeralZahl ensymbolik ( f ) number symbolismZahlensystem ( n) number systemZahlentaf el (f) numerical table

zahlentheoretisch (a) number- theoreticZahl entheorie (f) number theoryZahlentripel (n) number triplet

Zahlenvariable (f) numerical variableZahlen verhaltnis (n) numerical ratio

Zahlen vieleck (n) number polygonZahl en viereck (n) number squareZahl en wert (m) numerical valueZahl er (m) numeratorZahlerdeterminante (f) numerator de-

terminantZahlergrad (m) degree of the numera-

tor

Zahl koeff izient (m) numerical coeffi-

cient

Zahlkorper (m) number field

Zahlreihe ( f ) number series

Zahlring (m) number ring

Zahlung (f) count(ing)Zahl werk ( n) counter of a computing

machineZahl wort (n) number word, numeralZahlzeichen (n) number symbol,

numera 1

zehn ten

Zehn ( f) ten

Zehneck (n) decagonzehnec kig (a) decagonalZehn er (m) ten

Zehnerbasis ( f ) base ten

Zehner bruch (m) decimal fraction

Zehnergruppe ( f ) decadeZehn er ko lonne (f) column of tens

Zehnerlogarithmus (m) decadic or com-mon logarithm

Zehner potenz ( f ) power of ten

Zehnerstelle (f) tens placeZehnersystem ( n) decimal systemZehner zahl (f) decadic number

Zehnflach (n) decahedronzehn flachig (a) decahedralZehn f la chner (m) decahedronzehnmal ten timeszehnmalig (a) ten timeszehnt tenth

zehntausend ten thousandze hn teilen (vt) divide in ten parts

zehnteilig (a) ten-part, ten-divi-sion

Zehntel (n) one-tenthzehntel (a) tenth (part)

Zehntelgrad (m) tenth of a degreezehntens (adv) tenthly

Zeichen (n) mark, sign, symbolZeichendreieck (n) drawing triangle,

set squareZeichenebene ( f ) drawing planeZeichenfehler (m) drawing error

Zeichenfl ache (f) drawing surface

Zeichenfolge (f) sequence of signs

Zeichenhilfsmittel (n) drawing aid

Zeicheninstrument (n) drawing in-

strumentZeichenlehre ( f ) semanticsZeichenregel (f) rule of signs

Zeichenwerkzeug (n) drawing in-

strumentzeichnen (vt, vi) draw, plot, trace

Zeichnen (n) drawing, drafting

Zeichner (m) draftsmanzeichnerisch (a) graphic(al)

Zeichnung (f) drawing, diagram,graph

Zeiger (m) index, subscript, super-

script; indicator, pointer

Zeigerablesung (f) pointer or in-

dicator readingZeigerausschl ag (m) pointer or

needle deflection

Zeigerpaar (n) pair of indices

Zeile (f) row

Zeilenindex (m) row index

Zeilenmatrix (f) row matrix

Zeilenmittel (n) row average

Zeit ( f ) timeZeitabschnitt (m) period of time

Zeitachse (f) time axis

zeitartig (a) time-likeZeitartigkeit (f) time likeness

Zeitdauer (f) duration, period

Zeitdimension ( f ) time dimension

Zeiteinhei t (f) time unit

Zeitgleichung ( f ) time equation

127

Zeitint egra 1 (n) time integral

Zeitintervall (n) time interval

Zeitkoordinate (f) time coordinateZeitkur ve (f) time curvezeitl ich (a) temporal, timeZeitmass (n) measure or unit of timeZeitm esser (m) time piece, chronome-

ter

Zeitminu te ( f ) minute of timeZeitmittel (n) time averageZeitpunkt (m) point of time, instant

Zeitr aum (m) interval, periodZeitrechnung (f) chronologyZeitreihe ( f ) time series

Zeitr eihenzerlegung ( f ) analysis of a

time series

Zeitr en te ( f ) annuity certainZeits ekunde ( f ) second of timeZeits er ie (f) time series

Zeitspanne (f) period of timeZeitum kehrprobe ( f ) time reversal test

Zeitweg kurve ( f ) time-path curveZeitweiser (m) calendarZelle (f) cell

Z e n i t (m) zenith

Zeni tabst and (m), Zenitdistanz (f)

zenith distance, coaltitudeZeni tpu nkt (m) zenith pointzentesimal (a) centesimalZentigrad (m) centigradeZenti. meter (n) centimeterZentra (npl) centra, centersZentraf lache (f) surface of centers,

center surface, centro- surface

(= Evolutenf lache )

zentr al (a) centralZentral achs e (f) central axis

Zentralbewegung ( f ) central motionZentral e (f) line of centersZentral feld ( n) central field

zentralisieren (vt) centralizeZentralisierung ( f ) centralizationZentral kegelschnitt (m) central conicZentral kollineation (f) central colline-

ation

Zentralperspekti ve ( f ) central perspec-tive

Zentralproj ektion (f) central projec-tion

Zentralpunkt (m) central point

Zentralsymmetrie (f) central symmetryzentr alsymmetrisch (a) centrally sym-

metricZentral wert (m) median

Zentraman tel (m) middle envelopezentrieren (vt) center.

Zentrierung ( f ) centeringzentrifugal (a) centrifugalZentrifugalbewegung ( f ) centrif-

ugal motionZentrifugalkraft ( f ) centrifugal

force

zentripet al (a) centripetalZentripetalbewegung ( f ) centripetal

motionZentripetalkraf t (f) centripetal forcezentr isch (a) centralzentrischsymmetrisch (a) central -

sym metricalZentriwinkel (m) central angleZent rum (n) center, centralZerfa 11 (m) decompositionzerf all en (vi) decompose, decayzerfa 11 en (vt) decomposeZerfallung (f) decompositionZerf a llun gs korper (m) decomposi-

tion or splitting field

zergl ie dern (vt) dissect; analyzeZergliedrung (f) dissection; anal--

ysis

Zerk leinerungsgrad (m) reductionratio

zerlauf en (vi) spread out, diffuse

zerl egb ar (a) decomposable, fac-

torable

Zerlegbar keit ( f ) decomposability,factorability

zerlegen (vt) decompose, factor,

split up ; analyzeZerlegung ( f ) decomposition, fac-

torization; analysis

Zerlegungssatz (m) Laplace's ex-

pansion theoremzerschn eiden (vt) cut up, dissect

Zerschneidung (f) dissection

zerspalten (vt) split up

Zerspal tung ( f ) splitting up

zerstreuen (vt, vr) disperse, scatter,

spreadZerstreuung ( f ) dispersion, scattering

Zeta (n) Greek letter zeta (Z,£)zickz ack (a) zigzagZickzacklinie ( f ) zigzag line

Ziehen (vt) draw; extract (a root)

Ziehung (f) drawing; extraction ( of

a root)

Ziffer (f) numeral, digit, figure;

rate, ratio

128

Ziffernmaschine ( f ) digital computingmachine

Ziffernschtift ( f ) numeral or numberscript

Ziffernsprache ( f ) numeral or numberlanguage

Ziffernsumme ( f ) sum of digits

Zins (m) rent; (mpl) interest

Zinsenber echnun g (f) computation of

int er es t

Zinsenertrag (m) yield of interest

Zinsenrechnung (f) method of com-puting interest

Zinsenzu w a chs (m) accrued interest

Zi nsesz ins (mpl) compound interestZinseszinsformel (f) compound interest

formulaZinseszinsrechnung (f) method of com-

pound interest computationZ insfaktor (m) interest factorZinsfuss (m) interest rate

z in si os (a) non - int eres t - bearingZinsperiode ( f ) interest periodZi nsr echnung ( f ) method of computing

int er es t

Zirkel (m) circle; compass, dividers

Zir keleinsa tz (m) point of compasses;insertion of the needle point of

compasses or dividers

Zir kelspitze (f) needle point of com-passes, point of dividers

Zirkelz ah 1 (f) circular numberZirkulante (f) cyclic determinant, cir-

cu lant

zir kular (a), zirkular (a) circular,

zirkulares Geradenpaar:pair of isotropic or minimal lines

Zirkularz ahl (f) circular numberzirkumpolar (a) circumpolarZirkumpolarstern (m) circumpolar

star

Zissoide (f) cissoid

Zodiak (m) zodiacZodiak all icht (n) zodiacal light

Zoll ( m) i nchZufall (m) accident, chancezuf al lig (a) accidental, chance, ran-

domzufallig (adv) -at random, accidentally

Zu fa lligkeit (f) randomnessZufallsapparat (m) Galton's boardZufallscharakter (m) randomnessZufallsgesetz (n) law of chanceZufallskurve (f) Galtonian curve

Zufallsnatu r ( f ) randomnessZufallsschwankung ( f ) random fluc-

tuationZufallsstr euung (f) empirical dis-

persion

Zufallsursache (f) random causeZug (m) circuit, path, track; closed

curve (on Riemann surface);drawing (of a ball); (phys.)pull, tension

zugeho rig (a) belonging to, perti-

nentzugekehrt (a) turning towards.

zugekehrte Spitze: rhamphoidcusp

zugeordnet (a) associated, coordi-nated, corresponding

zu gewandt ( a ) = zugekehrtZu gf estigkeit (f) tensile strength

Zuggrenz e (f) elastic limit

Zugkraft(f) tensile force

z u g 1 e i c h (a) simultaneouslyZuglinie (f) tractrix

zulassig (a) admissible, permissibleZunahme ( f ) increase, incrementzu nehmen (vi) increase, ascendZunge ( f ) slide (of a slide rule),

pointer (of a balance)zuordnen ( vt) associate, coordinate,

mapZuordnung (f) coordination, cor-

relation, correspondencezuruckfiihrbar (a) reduciblezu ruck fithren (vt) reduceZuru'ckfiihrung (f) reductionZuriickgehen (n) recurrencezuriickkehren (vi) return, revert

zuriicklegen (vt) cover, travel

Zuriicktransformieren (n) reverse or

inverse transformationzuruckwerfen (vt) reflect

Zurilckwerfung (f) reflection

zuruckziehen (vt) withdrawzusammendruckbar (a) compressibleZusammendruckbarkeit ( f ) compres-

sibility

zusammendrucken (vt) compress

Zusam mendriickung ( f ) compression

zusammenf alien (vi) coincide

Zusammenfallen (n) coincidencezusammenfassen (vt) collect, com-

bine, sum up

zusammengesetz t (a) composite, compound

129

Zusammenh ang (m) connection, connec-tivity, relationship

zusammenhangen (vi) be connectedzusammenhangend (a) connectedZusammenh angsgrad (m) degree of con-

nectivityZusammenhangsverhaltnis (n) connec-

tivity ratio

Zusammenhangszahl (f) connectivitynumber

z u s a ... ,-T e n 1 a u f e n (vi) convergeZusammenlaufen (n) convergencezusammenlaufend (a) convergentZusammenklammerung (f) parenthesizingzusammenrechnen (vt) add upzusammenrollen (vt, vr) roll together,

roll up

zusammensetzen (vt) put together, com-bine, compose; (vr) be composed

Zusammensetzung (f) combination, com-position

zusammenstellen (vt) put together,

compil e

Zusammenst el lung (f) compilation,tabul ation

Zusamm ensetzungs vorschrif t (f) rule of

combination or compositionZusamm enstoss (m) collision

zusammenstossen (vi) collide

zusamm entreffen (vi) meet, collideZusammentreffen (n) meeting; col-

lision

zusammenzahlen (vt) add (together),

cast up (a column)Zusatz (m) additionZusatzbedingung ( f ) extra conditionZusatzglied (n) added or extra termzusatzlich (a) additionalZustand (m) state

Zustandsanderung (f) change of state

Zustandsgleichung ( f ) equation of state

zutreff en (vi) be valid, holdZuwachs (m) increment, increasezuwachsen (vi) accrue, be addedZu wachsrate ( f ) rate of increaseZ- Verteilung (f) Z-distributionz w anzig twentyZwanzigf lach (n) icosahedronz wanzigflachig (a) icosahedralZwanzigflachner (m) icosahedronzwanzigst twentiethZweck (m) end, purposezweckmassig (a) purposefulzwei two

Zwei (f) twozweiachsig (a) biaxialzweiastig (a) two-branchedZweiblatt (n) double foliumzweiblattrig (a) two-sheetedzweideutig (a) two-valuedZweideutigkeit (f) two- valu ednesszweidimensional (a) two-dimen-

sional

Zweidimensionalitat ( f ) bidimen-sionality

Zweieck (n) lune

Zweier (m) twoZweiersystem (n) binary or dyadic

systemzweifach (a) two-fold, doubleZweiflach (n) dihedral, dihedronz weiflachig (a) two-sided, dihedralZweiflachner (m) dihedral, dihed-

ron

Zweig (m) branchz weigipf elig (a) bimodalzweigliedrig (a) two-term, two-

place, binomial; binary, dyadicZweihornkurve (f) cocked hat, bi-

corn

z w eihundert two hundredZweikorper problem (n) two-body

probl emzweimal twicezweimalig (a) twice

Zweiparameterschar ( f ) two- parameterfamily

zweipunktig (a) two-pointZweipunktperspektive (f) two-point

perspecti ve

zweireihig (a) two-rowzweischalig (a) two-sheet, parted

zweischarig (a) doubly ruled

zweiseitig (a) two-sided, bilateral

Zweiseitigkeit ( f ) two-sidednesszweiseitig- symmetrisch (a) bilater-

ally symmetricZweispitz (m) bicuspid

zweispitzig (a) bicuspid

zweistellig (a) two-place, two-figure , two-digit

z weit secondZweitafelprojektion (f) two-plane

proj ection

zweiteilig (a) bipartiteZ weiteilkurve (f) bipartite curveZweiteilung (f) division in two

parts, bisection

130

z weitens (adv) secondlyzweiwertig (a) two-valuedZweiwertigkeit ( f ) t wo - valuednessZ w e i z a h 1 (f) dyadz weiz ahlig (a) binary, twofoldZ wickebene ( f ) pinch planeZ wickel (m) gore

Zwickpunkt (m) pinch point

z wiefach (a) twofold, doublezwiefaltig (a) twofoldZwilling ( m ) twin

Z willingskris tall (m) twin crystal

Z willingsprism a (n) biprismz wischen (prep ) betweenZwischenbahn (f) intermediate pathZwischenbild (n) intermediate imageZwischenform (f) intermediate formZwischenglied (n) intermediate termZ wischengruppe (f) intermediate groupZwischenkorper (m) intermediate field

Zwischenparameter (m) mixed param-eter

Zwischenraum (m) interspace, interval

Zwischenrechnung ( f ) intermediatecomputation

Z wischenschicht (f) intermediate layer

Zwischenstuf e (f) intermediate stage

Zwischensumme (f) partial sumZ wischenty pus (m) intermediate type

Z wischenw ert ( m ) intermediate valueZ wischenzeit (f) time interval, inter-

vening timeZ wischenzustand (m) intermediate

state

z wolf twelveZ wolf eck (n) dodecagonz wolfeckig (a) dodecagonalZ wolf ersystem (n) duodecimal system

Z wolf flach (n) dodecahedronz wolff lachig (a) dodecahedralZwolf flachner (m) dodecahedronz wolft twelfthZykel ( m ) c y c i e

Zykeltheorie ( f ) cycle theory

Zyklante (f) circulantZyklide (f) cyclidezyklisch (a) cyclicZyklograph (m) arcograph, cyclographZyklographie ( f ) cyclographyZ y kloide (f) cycloidZykloidenabschnitt (m) section of

cycloidZykloidenbahn ( f ) cycloidal path

Zy kloidenbogen (m) cycloidal arc

Zykloidenflache (f) cycloidal sur-

face or area

Zy kloidenpendel (n) cycloidal pen-dulum

zy kloidisch (a) cycloidalZyklometrie ( f ) cyclometryzy klometrisch (a) inverse trigo-

nometric, inverse circular, anti-

trigonometric, arc- trigonometricZy klotron (n) cyclotronZy klus (m) cycleZylinder (m) cylinderZylindererzeugende (f) ruling or

element of a cylinderZy linderf lache (f) cylindrical sur-

facezy linderformig (a) cylindrical

Zylinderfunktion (f) cylindrical

or Bessel function

Zy linderhuf (m) ungula of a cylin-

der

Zy linderinhalt (m) volume of cy-

linder

Zylinderkoordinate (f) cylindrical

coordinateZylinderproj ektion (f) cylindrical

proj ection

Zylinderradius (m) radius of cy-

linder

Zylinderstumpf (m), Zy linders tutz

(m) ungula of a cylinder

Zylindersymmetrie (f) cylindrical

symmetryZylinderwelt (f) cylindrical world

zylindrisch (a) cylindrical

Zy lindroid (n) cylindroid

131

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