is.1885.72.2008 maths
TRANSCRIPT
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IS 1885 (Part 72) :2008
IEC 60050-101:1998
W1GMw%z
?Iwk1l
Indian Standard
ELECTROTECHNICAL VOCABULARY
PART 72 MATHEMATICS
( First Revision)
ICs 01.040.07
@ 61S 2008
BUREAU OF INDIAN STANDARDS
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Basic Electrotechnical Standards Sectional Committee, ETD 01
NATIONAL FOREWORD
This Indian Standard (Part 72) (First Revision) which is identical with IEC 60050-101 : 1998
International Electrotechnical Vocabulary Part 101: Mathematics issued by the International
Electrotechnical Commission (lEC) was adopted by the Bureau of Indian Standards on the
recommendation of the Basic Electrotechnical Standards Sectional Committee and approval of the
Electrotechnical Division Council.
This standard was first published in 1993. This revision has been undertaken to align it with
IEC 60050-101:1998.
The text of IEC Standard has been approved as suitable for publication as an Indian Standard without
deviations. Certain conventions are, however, not identical to those used in Indian Standards.
Attention is particularly drawn to the following:
a) Wherever the words International Standard appear referring to this standard, they should
be read as Indian Standard.
b) Comma (,) has been used as a decimal marker, while in Indian Standards, the current
practice is to use a point (.) as the decimal marker.
In this adopted standard, reference appears to certain International Standards for which Indian
Standards also exist. The corresponding Indian Standards, which are to be substituted in their
places, are listed below along with their degree of equivalence for the editions indicated:
International Standard
IEC 60027-1 : 1992 Letter symbols to
be used in electrical technology Part
1: General
IEC 60050 (161) : 1990 International
Electrotechnical Vocabulary Chapter
161: Electromagnetic compatibility
IEC 60050 (701) : 1988 International
Electrotechnicai Vocabulary Chapter
701: Telecommunications, channels and
networks
ISO 31-11 : 1992 Quantities and units
Part 11: Mathematical signs and
symbols for use in the physical sciences
and technology
lSO/lEC 2382-1 : 1993 Information
technology Vocabulary Part 1:
Fundamental terms
Corresponding Indian Standard
IS 3722 (Part 1) : 1983 Letter symbols
and signs used in electrical technology:
Part 1 General guidance on symbols and
subscripts (first revision)
IS 1885 (Part 85) :2003 Electrotechnical
vocabulary: Part 85 Electromagnetic
compatibility
IS 1885 (Part 58) : 1984 Electrotechnical
vocabulary: Part 58 Telecommunications,
channels and networks
IS 1890 (Part 11) : 1995 Quantities and
units: Part 11 Mathematical signs and
symbols for use in the physical sciences
and technology (second revision)
1S
14692
(Part 1) : 1999 Information
technology Vocabulary: Part 1
Fundamental terms
Degree of
Equivalence
Technically
Equivalent
Identical
Technically
Equivalent
Identical
do
The technical committee responsible for the preparation of this standard has reviewed the provisions
of the following International Standards and has decided that they are acceptable for use in
conjunction with this standard:
/nternafiona/ Standard Title
IEC 60050 (702) :1992
International Electrotechnical Vocabulary Chapter 702: Oscillations,
signals and related devices
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IS 1885 (Part 72) :2008
IEC6OO5O-101 :1998
CONTENTS
Page
Sections
101-11 Scalar and vector quantities . .. . . . . .
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
1
101-12 Concepts related to information
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
20
101-13 Distributions and integral transformations . .. .. .. .. .. .. .. .. .. .. .. .. .. .. . . .. .. .. . .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. . 23
101-14 Quantities dependent on a variable...
.............................................................................
29
101-15 Waves ...................................................................... ...................................,,.,....,,, .......
54
List ofletter symbols . . . . . . . . . .. . . . . . .. . . . . . . . .. . . . . . . . .. . . . . . .. . . . . .. . . . . . . . .. . . . . . .. . . . . . .. . . . . . . . .. . . .. . . . . . .. . . ... . 63
List of mathematical signs
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
64
Index . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ..
65
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IS 1885 (Part 72): 2008
IEC6OO5O-101 :1998
/ndian Standard
ELECTROTECHNICAL VOCABULARY
PART 72 MATHEMATICS
~
First Revision)
101-11-01
valeur absolue
Pour un nombre r6cl a, lCrrombre non nfgatif, soit a soit a.
Notes 1, La valcur abstrluc de a esL rcpr@mtLe par Ial ; abs a est aussi utilise.
2.-
La notion de valcur absolue pcut sappliqucr a une grandeur scalaire rkllc.
absolute value
For a real number a, the non-nega~ivc number, either a or
a.
Nom 1, Theabsolu[cvalueof a isdermd by /a/ ; absa isNsowed
2.- The conccpl of absolute value may bc applied to a real scalar quamity.
ar
de
es
it
ja
pl
p[
Sv
Betrdg (cincr rccllcn Zahl)
valor absohsto
valore assoluto
$&W
wartombrerdcl non ndga~if ct q un nombre reel.
2.- En clcctro[cchnlquc, Ic ~ymholc j CSLprifEr6 au symbole i, USUC1n math6matiqucs.
~. tin cicctrolcchniquc. un nomhrc comp]exc peut &c rcprt%cntd par un symbolc Iittdral
Sc)ulignd, par cxcmplc : C.
complex number
Ordered pair ol real numtwrs a and h, usually denoted by c =
a + jb
where the imaginary unit j satisfies
j? =-]
NoIe.\ 1.- A complex number may also bc cxprcsscd as c = lcl (COSp + j sin @ = Icl ~IP where Icl is a
non-ncgati vc real number and p a real number.
2.- [n clcctrolcchnoiogy, the symbol j is preferred to the symbol i, usual in mathematics.
3.- In clcctro[cchno]ogy, a complex number may bc denoted by an underlined Iettcr symbol, for
example: g,
ar
dc
Cs
it
ja
pl
pt
Sv
+-sj
ALc
komplexe Zahl
nsirnero complejo
numero complesso
#f%%
Iiczba zespolona
mimero complexo
komplext tal
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IEC6OO5O-101 :1998
101-11-03
partie r6elle
Composante a dun nombre complexe c = a + j b.
Notes 1.- La partie r6elle dun nombre complexe c est repr6sent6e par Re c ou par c.
2.- La notion de partie r6elle peut sappliquer Aune grandeur scalaire, vectorielle ou tensorielle
complexe et h une matrice dA5ments complexes.
real part
The part a of a complex number c = a + j b.
Nores 1.- The
real part of a complex number c is denoted by Re c or by c.
2.- The concept of real part may be applied to a complex scalar, vector or tensor quantity or to
a matrix of complex elements.
+.&
:
Reaiteil
es partereal
it parte reale
ja
5W18
pl
cz$% rzeeaywista
pt
parte real
Sv realdel
partie imaginaire
Composante
b
dun nombre complexe c = a +
jb.
Notes 1.-
La partie imaginairc dun nombre complexe c est repr6sent& par Im c ou par c.
2.-
La notion de partie imaginaire peut sappliquer A une grandeur scakdre, vectorielle ou
tcnsorielle complexe
et ?tune
matrice dWments complexes.
imaginary part
The part b of a complex number c = a + jb.
101-11-04
101-11-05
Notes
ar
de
es
it
ja
pl
pt
Sv
1.- The irnaginmy part of a complex number c is denoted by Im c or by c.
2.- The concept of imaginary part maybe applied to a complex scalar, vector or tensor quantity
or to a matrix of complex elements.
I&q@irteil
parte imaginaria
parte irnmaginaria
&s
cq%d urojona
parte
imagindria
imaginiirdel
Conjuguk
Nombre complexe c* = a - jb associ6 au nombre complexe c = a + jb.
Notes 1.- Le conjugu6 du nombre complexe c = IcId? est c* = IcIe-JP.
2.- La notion de wconjugu6 >>peut sappliquer h une grandeur scalaire, vectorielle ou tensorielle
complexe et ii une matrice d616ments complexes.
conjugate
complex number C*= a jb associated with the complex nUmber C= a + jb.
Notes 1.- The conjugate of the complex number c = Icl eiP is c* = IcIe-@
2.- The concept of conjugate maybe applied to a complex scalar, vector or tensor quantity or to
a matrix of complex elements.
ar
JJl>
de
konjugiert-komplexe Zald
es conjugado
it coniugato (di un numero complesso)
ja #&
p]
Iiczba Sprr$zona
pt
conjugado
Sv konjugat
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IEC6OO5O-101 :1998
101-11-06
101-11-07
101-11-08
racine carriSe
Nombre dopt le produit par lui-m~me est 6gal h un nombrc rt$elou complexe donrk
Note. - Tout nombre rclel ou complexe non nul a deux racines carkes, qui sent des nombres oppost%.
Pour un nombre r6el positif
a,
la racine cam% positive est repn%ent& par al/2 ou ~ et la racine carr6e
rkgative par -al2 Ou +.
square root
Number for which the product by itself is equal to a given real or complex number.
Note. -
Every non-zero real or complex number has two square roots, each being the negative of the other.
For a positive real number a, the positive square root is denoted by aln or& and the negative square root
by -alQ or ~.
Ye
es
it
ja
p]
pt
Sv
module
%?y
JJ-
Quadratwurzel
raiz cuadrada
radice quadrata
=Wi : Tli%l
pierwiastek kwadratowy
raiz quadrada
kvadratrot
Nombre reel non-n~gatif Icl dent lc carui cst 6gal au produit dun nombre complexe c =
a + jb
par son
conjuguk:
Note. - La notion de module peut sappliquer Aune grandeur scalaire complexe.
modulus
Non-negative real number IcI, the square of which is equal to the product of a complex number c = a + jb
and its conjugate:
lcl=m=J7Y7
Note. - The concept of modulus maybe applied to a complex scalar quantity.
~e
es
it
ja
p]
pt
Sv
J &A
Betrag (einer komplcxen Zahl)
mddulo
modulo
l&Wili
modsd (liczby zespolonej)
m6dulo
belopp (av komplcxt ml)
argument (symbole : arg)
Nombre r6el q tel que n < p S n, dent la tangente est le rapport de la partie imaginaire h la partie r6elle
dun nombrc complexe donnd non nul it dent le signe est cehsi de la partie imaginaire.
Notes 1.- Largument arg c = q du nombre complexe c = a + jb = lc\ e@est 6gal h:
arctan (b/a)
sia>O
7r+ arctan (b/a)
sia
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101-11-08
argument (symbol: arg)
Real number p such that -n< qs X, for which the tangent is the ratio of the imaginary part to the real
part of a given non-zero complex number and for which the sign is that of the imaginary part.
Notes I. - The argument arg c = q of the complex number c = a + jb = IclCMis equal to:
arctan (b/a) ifa>O
~ + arctan (b/a) ifaest souvent restreint a unc grandeur ind6pcndante de la direction.
scalar (quantity)
Quantity the numerical value of which is a single real or complex number.
Note. - In a three-dimensional space where the concept of direction is defined, the term scalar quantity
is often restricted to a quantity independent of direction.
de
skalare Grotle; Skalar
es
magnitud ezealmy ezcalar
it
grandezza scalare, scalare
ja
xXl?
(3)
pl
wielko$d skakuma; skalar
pt
grandeza escalar; escalar
Sv skalar (storhet)
grandeur vectorielle
vecteur
Grandeur representable par un t516mentdun ensemble, darts lequel le produit dun 616ment quelconque par
un nombre soit r.4el soit complexe, ainsi que la somme de deux 616ments quelconques sent des 616ments
de lensemble.
Nofes 1.- Une grandeur vectorielle clans un espace h n dimensions est caractt%kle par un ensemble
ordonn6 den nombrcs r6els ou complexes, qui d6pendent du choix des n vczteurs de base si n est
Supkit-icuri 1.
2.- Dans un espace rt$el Adeux ou trois dimensions, une grandeur vectorielle est rcpn%entable
par un segment orient4 cwdct&is4 par sa direction et sa longueur.
3.- Une grandeur vectorielle complexe
Vest
di%nie par une partie rfelle et urte partie
imagirtaire:
V= A + jll oil A
et
B
sent des grandeurs vectorielles r6elles.
4.- Une grandeur vectorielle est reprt5sent6e par un symbole litti%l en gras ou par un symbcde
surrnont6 dune fkche:
V
ou V
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101-11-10
101-11-11
101-11-12
vector (quantity)
Quantity which can be represented as an element of a set, in which both the product of any element and
either any real or any complex number and also the sum of any two elements are elements of the set.
Notes 1.- A veetor quantity in an n-dimensional space is characterized by an ordered set of n real or
complex numbers, which depend on the choice of the n base vectors if n is greater than 1.
2.- For a real two- or three-dimensional space, a vector quantity can be represented as an
oriented line segment characterized by its direction and length.
3.- A complex vector quantity
V is
defined by a real part and an imaginary part:
V= A + jll
where
A
and
B are
real vector quantities.
4.- A vector quantity is$dicated by a letter symbol in bold-face type or by an arrow above a
letter symlxi: V or V .
Ye
es
it
ja
pl
pt
Sv
+a
(a + s )
vektorielle Gro13e;Vektorgro13e
nmgnitud veetorkd; veetor
grartdezza vettoriale, vettore
X9 F)b (s)
wielko& wektorowa; wektor
grandeza vactorial; vector
vektor(storhet)
rnatriee
Ensemble ordonn6 de m x n & ments, repn%.entd par un tableau de m Iignes et n colonrtes.
Nole. - Les 616ments peuvent Stre des nombres, des grandeurs scalaires, vectorielles ou tensorielles, des
ensembles, des fonctions, des op&ateurs ou m~me des matrices.
matrix
Ordered set of m
x n
elements represented by m rows and n columns.
Note. - The elements may be numbers, scalar, vector or tensor quantities, sets, functions, operators or
even matrices.
a r
&j.&w
de
Matrix
es
matriz
it
matrice
ja
f77U
pl
maeierz
pt rnatriz
Sv
matris
grandeur tensorielle (du second ordre)
tenseur
(du second ordre)
Grandeur representable clans un espace h n dimensions par une matrice cade de n x n grandeurs n$elles
ou complexes tm qui d6cnt une transformation lim%ire dun veeteur
A
en un vecteur
B:
Bi = Zj tqAj
tensor (quantity)
(of second order)
Quantity characterized in an n-dimensional space by an n x n square matrix of real or complex quantities
[@which describes a linear transformation of a vector A into a veetor B:
Bi = Z.jtvA)
a r
de
es
it
ja
pl
pt
Sv
tensorielle GroBe (zweiter Stufe); Tenaorgrolle (zweiter Stufe)
rnagnitud tensorial (de segundo orden); tensor
grandezza tensorkde (del secondo ordine); tenaore (del secondo ordine)
% >
)
w
(m (=zk@)
wielkti tensorowa (drugiego rz@u);
tensor (drugiego
rz@u)
grandeza tensorial (de segunda ordem); tensor (de segunda ordem)
tensor(storhet)
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101-11-13
vecteur de base
Dans un espace ~ n dimensions, chacun des 61ements dun ensemble de n grandeurs vectorielles
lim%irement indc$pendantes.
Notes 1,- Pour unensemble donnkde vecteurs de base Al, A2, . .. An. toutegrmdeur vectorielle V
peut i%e exprim~e de fagon univoque comme une combinaison lin&ire.
V=a1A1+af12 +... +aJn
oii al, a2, . . . an
sent des grandeurs dent chacune a pour vateur num&-ique un nombre rt$el
ou complexe unique.
2.- On choisit gt%rehtement comme vectcurs de base, d¬6s el, e2, . en, des grandeurs
vectonelles rfelles osthonorm~es saris dimension.
3.- Dans un espace h trois dimensions, les vecteurs de base sent gh~ralement choisis par
convention de f~on h former un trkdre threct. 11speuvent gtre d6not& e,, eY,ez, ou i,j, k.
base vector
In an n-dimensional space, one of a set of n linearly independent vector quantities.
Notes 1.-
For a given set of base vectors
A,, A2, . An,
any
vector quantity
V can
be uniquely
expressed as a linear combination
V=alA1+ ayt2+... +afin
where
al, a2, an are
quantities, the numerical value of each being a single real or
complex number.
2.- The base vectors are gcncratly chosen as real orthonorrnat vector quantities of dimension
one, denoted el, ez, en.
3.-
In
a three-dimcnsionat space, the base vectors are usually taken by convention to form a
right-handed ~hcdron. They can bc denolcd ex. ey ez, or iJ, k
ar
de
es
it
ja
pl
pt
Sv
Basisvektor
vector de base
vettore di base
~~< P F Ji/
wektor podstawowy
vector de base
basvektor
101-11-14 coordonn6e (dun vecteur)
Chacune des n quantit6s al, az, .
an
caract&isant la grandeur vectorielle
V=alA1+ a-g12+... +a&n
oti Al, A2, . .. An.
sent les vecteurs de base.
Note. - En anglais, le terme
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IEC6OO5O-101 :1998
101-11-15
101.11.16
101-11-17
composante (dun vecteur)
Chacun des Wrnents dun ensemble de grandeurs vectorielles lim%irement ind4pendantes dent la somrne
est &gale Aune grandeur vectorielle donnee.
Nore. - Exemple: chacundes produits dune coordonn6e dune ~mdeurvectonelle pwlevecteur debme
correspondent.
component vector (of a vector)
One of a set of linearly independent vector quantities, the sum of which is equal to a given vector
quantity.
Note. - Example: anyofthe products ofacomponent ofavector quantity and the corresponding base
vector.
ar
de
es
it
ja
pl
pt
Sv
Komponente
(einer vektorieilen GroBe)
component vectorial (de un vector)
component
(di un vettore)
*&K7 )-W (
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scalar product
dot product
Scalar
quantity A B defined for two given vector quantities A and i? in n-dimensional space with
orthonormal base vectors by the sum of the products of each coordinate Ai of the vector quantity A and
the corresponding coordinate Bi of the vector quantity B: A B = Zi Ai Bc
Notes 1.- The scalar product is independent of the choice of the base vectors.
2.- For a real two-or three-dimensional space, the scalar product of the vector quantities is the
product of the magnitudes of the two veetors and the cosine of the angle between them:
A B = IAI
l~lCOS 8.
3.- For two complex vector quantities
A
and
B,
either the scalar product
A B
or one of the
scalar products
A . B*
and
A* . B may
be used depending on the application. The quantity
A . A* is non-negative.
4.- The scalar product is denoted by a half-line dot (.) between the two symbols representing
the vectors.
101-11-18
101-11-19
ar
de
es
it
Ja
p]
pt
Sv
skaklres
Produkt
producto escalar
prodotto scalare
xti5J-a
iloczyn Skdarny
produto escdar
Skdiirprodukt
norme
(dun vecteur)
module (terme dfumseil16 dam ce sens)
Grandeur sealaire non n6gative VI dent le earn5 est 6gal au produit scahdre dune grandeur vectorielle V
par sa conjttgw%
Ivl.m=
Notes 1.- En math%natiques, la norme d&inie iei est la rtorim euclidienne. Dautres norrnes peuvent
i%redkfirnes.
2.- Dsns un espaee tiel h deux ou trois dimensions, la norrne dune grandeur veetorielle est
repr6sent& par la longueur du segment orientt? reprt%entant la grandeur vectorielle.
magnitude
(of a vector)
mcdulus (deprecated in this sense)
Non-negative scalar quantity PI, the square of which is equal to the scalar product of a vcetor quantity
V
and its conjugate:
pq=m=
Nores 1.- In mathematics, the concept defined here is also called Euclidean norm. Other norms can be
defined.
2.- For a real two-or three-dimensional space, the magnitude of a vector quantity is represented
by the length of the oriented line segment representing the vector quantity.
ar
de
es
it
ja
pl
pt
Sv
(4 ) J \ &
Betrag
(einer vektoriellen Grof3e)
norms (de un vector); mddulo (u%rrtinodesacmtsejado en este sentido)
norms (di un vettore)
WJff (~? b A4)
dlugti wektow, modul (termin nie zalecany w tym sensie)
norms (de urn vector); mddulo (de urn vector) (desaconselhado)
belopp (av
vektor)
vecteur uniti
Vecteur de norme uniti.
Note. - Un vecteur uniti est souvent repn5sent6 par e.
unit vector
Vector of magnitude one.
Note. - A unit vector is often denoted by e.
ar
de
es
it
u Aj
Elnheitsvektor; Emektor
vector unitario
vettore uniti; versore
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101-11-20
101-11-21
101-11-22
orthogonal
Qualifie deux vecteurs non nuls dent le produit scalaire est nul.
Note. - Dans un espace I-&l 5 deux ou tmis dimensions, des vecteurs orthogonaux sent aussi dits
peqnmdiculaires.
orthogonal
Applies to two non-zero vectors the scalar product of which is zero.
Note. - In a real two-or three-dimensional space, orthogonal vectors are also called perpendicular.
a
de
es
it
ja
pl
pt
Sv
Lab
orthogonal
Ortogonal
ortogonale
im
ortogonalny
ortogonal
ortogonal
orthonorsml
Qualifie
un ensemble de vecteurs unite%rt%ls deux ?ideux orthogonaux,
orthonormal
Applies to a set of real unit vectors which are orthogonal to one another.
ar
de
es
it
ja
pl
pt
Sv
ortonorrnale
iEBiiHE
ortonormalny
ortonormado
ortonormerad
angle (de deux vecteurs)
Grandeur scalaire (3 telle que O < 8 S n, dent le cosinus est le rapport du produit scakdre de deux
grandeurs vectorielles rielles
A
et
B
donrkes au produit de leurs normes :
angle
(between two vectors)
Scalar quantity 19such that O s 0< n, the cosine of which is the ratio of the scalar product of two given
real vector quantities A and B to the product of their magnitudes:
ar
de
es
it
ja
pl
pt
Sv
(*)CXY?~jlj
Winkel (zwischcn zwci Vektorgro13en)
ingulo (entre dos vectores)
angolo tra due vettori
R (=90
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triidre direct
Dans un espace h trois dimensions, ensemble de trois grandeurs vectonelles r6elles Iim%irement
ind6pendantes A,B, C, tel que, pourun observateur retardant darts la direction de C, la rotation dangle
minimafqui amkne A
sur B
se fait danslesens desaiguilles dune montre.
Note. -
hsgmdeurs vectonelles duntri5dre direct ontdesdirections quicomespondent respmtivement
h celles du pouce (A), de lindex
(B)
et du majeur (C) de la main droite, lorsque le majeur pointe &
angle droit des autres doigts.
right-handed trihedron
In a three-dimensional space, a set of three real linearly independent vector quantities
A, B, C,
such that
for an observer looking in the direction of C, the rotation through the sndler angle from
A
to
B is
observed to be in the clockwise sense.
Nore. - The vector quantities of a right-handed trihedron are oriented: the thumb
(A),
the forefinger
(B)
and the middle finger (~ of the right hand, when the latter (C) is pointing at right angles to the
others
(A)
and
(B).
a-
#l +1 y *M
& x
de
Rechtssystem; rechtshandiges Dreibein
es
triedro directo
it
triedro diretto
ja
6%%
pl
triada prawodaylna
pt
triedro directo
Sv
hogertrieder
101-11-24
produit vectonel
Dans un espace il trois dimensions muni de vecteurs de base OrtbOIIOI-IIM?Sl, e2, q formant un tri?xfre
direct, grandeur vectorielle
A x B
d&mie pour
deux grandeurs vectorielles dom6es
A =Alel +A2e2 +A3e3
et
B = Blel + Bp2 + B3e3
par :
A x B = (A2B3 A3B2)e1 + (A3B1 A, B3)e2 + (A1B2 A2B1~3.
Notes 1.- Le
produit vectoriel ne dkpend pas du choix des vecteurs de base.
2.-
Le produit vectoriel est orthogonal aux deux grandeurs vectonelles donn~es.
3.- Pour deux grandeurs vectorielles r6elles,
les trois grandeurs vectorielles A, B et A x B ferment un tri&dre direct ;
la norme du produit vectoriel est le produit des normes des deux grandeurs vectorielles
donn6es et de la vafeur absolue du sinus de leur angle: IAx BI = IAlW Isin 61.
4.- Pour deux grandeurs vectorielles complexes A et B, on peut selon ]application utiliser soit
le produit vectoriel A x B, soit lun des produits vectoriels A* x B ou A x B*.
5.- Le produit vectoriel est indiquf par une Croix ( x ) entre les deux symboies repri+sentant les
vecteurs. Lemploi du symbole A est d6conseill&
vector product
cross product
In a three-dimensional space with orthonormzd base vectors e,, e2, eg forming a right-handed trihedron,
vector quantity A x B defined for two given vector quantities
A =Ale, +A2e2+A3e3 and
B = Blel + Byr2 + B3e3
by:
A x B = (A2B3A3B2)e1 + (A3B1 A1B3)e2 + (A1B2A2B1)e3.
Notes 1.- The vector product is independent of the choice of the base vectors.
2.- The vector product is orthogonal to the two given vector quantities.
5. - For two real vector quantities,
the three vector quantities A, B and A x B form a right-handed trihedron;
the magnitude of the vector product is the product of the magnitudes of the two given
vector quantities and the absolute value of the sine of the angle between them.
IAxBI=L41 I.Bllsinf31.
4.- For two complex vector quantities A and B, either the vector product A x B or one of the
vector products A* x B or A x B* may be used depending on the application.
5.- The vector product operation is denoted by a cross (x) between the two symbols
representing the vectors. The use of the symbol A is deprecated.
~e
es
it
ja
p]
pt
Sv
\++
J .&
Vektorproduk~ vektorielles Produkt
producto vectorial
prodotto vettoriale
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101-11-25 616ment scalaire darc(symbole :ds)
Grandeur
scalaire associ~e ~ une courbe donn~e en uh point donn~, ~gafe 3 la longueur dun arc
infinit6simaf de la courbe contcnant Ie point.
scalar line element (symbol: &)
Scalar quantity associated with a given curve al a given point, equal to the length of an infinitesimal
portion of the curve containing the point.
N
de
es
it
ja
p]
pt
Sv
skalares Linienelement
elemento escalar de arco
(simbolo:ds)
elemento scalare darco
Xti7- SX G i%: ds)
element skalarny Mm
elemento escalar de arco
bhgelement
101-11-26
616ment (vectoriel) dart
Grandeur vectorielle
reelle
tangente h
une courbe orient& donrst% en un point donn~, dent la norme est la
Iongueur dun arc infinit6simzd de la courbe contenant le point et dent la direction correspond A
lorientation de la courbe.
No[e. - Un 616ment vectonel dart est d.%ign~ par [email protected], par tds ou par &, oil et = t est un vecteur unit~
tangent h la courbe, ds un 6Ement scafaire dart, dr la difft%entielle du rayon vecteur r d6cnvant
la courbe par rapport ~ un point origine.
(vector) line element
Real vector quantity tangent to a given oriented curve at a given point, the magnitude of which is the
length of an infinitesimal portion of the curve containing the point and the direction of which corresponds
to the orientation of the curve.
/Vole. - A vector line element is designated by etds, by tds or by dr, where et = t is a unit vector tangential
to the curve, ds is a scalar line element, &is the differential of the position vector
r
describing the
curve with respect to a zero point.
ar
dc
es
it
ja
pl
pt
Sv
vektorielles L-inienelement
elemento (vectoriaf) de arco
elemento (vettoriale) darco
(K 7 F )b) WE%
element wektorowy luku
elemento (vectorial) de arco
b5gelementvektor
101-11-27
int6grale curviligne
int6grale de Iigne
1nt6grale 6tendue a un arc onent~ dune courbc, dent IEIEment diff&entiel est soit le produit dune
grandeur scalaire par Idl&ment scalaire ou vcctoricl dare, soit le produit dune grandeur vectoriellc par
Ic%rnent scalaire dart, soit lC produit scalaire dunc grandeur vectorielle par l616ment vectoriel dare.
Note. - Cette int@rale peut ~tre une grandeur scafairc ou vcctonelle suivant la nature du produit consid6r6.
line integral
Integral in a specified direction along a portion of a curve, the differential element of which is either the
product of a scalar quantity and the scalar or vector line element, or the product of a vector quantity and
the scalar line element, or the scalar product of a vector quantity and the vector line element.
Note. - This integral may bc a scalar or vector quantity according to the kind of product.
ar
de
es
it
ja
pl
pt
Sv
Lhienintegral
integral curvilinear; integral de lines
integrale di lines
% s%
calka krzywoliniowa
integral curvilineo; integral de linha
kurvintegral; linjeintegral
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circulation
Grandeur scalaire .5gale h lint6grale de ligne dent l616ment difft%entiel est le produit scalaire dune
grandeur vectorielle par l616ment vectoriel dare.
Note. - En anglais, le termc
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101-11-31
101-11-32
101-11-33
101-11-34
int6grale de surface
[nt@rale Etendue h une portion dune surface, dent l616ment diff6rentiel est le produit dune grandeur
scalaire ou vectorielle par l616ment scahire ou vectonel de surface.
Note. - Cette int@rale pcut i%re une grandeur scalaire ou vectonelle suivant la nature du produit
consid&&
surface integral
Integral over a portion of a surface, the differential element of which is the product of a scalar or vector
quaritity and the scalar or vector surface element.
Note. - This
integral may be a scalar or vector quantity according to the kind of product.
Te
es
it
ja
pl
pt
Sv
Flachenintegral
integral de supertkie
integrale dl superllcie
ma53
* pawierzdmiowa
integral de supertlcie
ytintegral
flux (dune grandeur vectorielle)
lnt&rle de surface dent ld~ment diff6rentiel est le produit scalaire dune grandeur vcctorielle par
li516mentvectoriel de surface.
flux
(of a vector quantity)
Surface integral, the differential element of which is the scalar product of a vector quantity rmd the vector
surface element.
ar
de
es
it
ja
pl
pt
Sv
FM
(einer vekt&iellen Gro13e)
flujo (de una magnitud vectorial)
flusso (di una grandezza vettoriale)
(N9 t)b) R
strumieri
(wielkoki wektomwej)
fluxo (de uma grartdeza vectorial)
vektorfiijde
int&rale de volume
Integrale 6tendue h un volume donn6, dent l61&nentdit%entiel est le produit dune grandeur scalaire ou
vectorielle par IEIEment de volume.
volume integral
Integral over a volume the differential element of which is the product of a scalar or vector quantity and
the volume element.
?C
es
it
ja
pl
pt
Sv
V-olumeni~tegral
integral de vohunen
integrale di volume
BWW
calka obj@&lowa
integral de volume
volymintegral
champ (1)
Etat dun domaine d&ermin6 clans lequel une grandeur ou un ensemble de grandeurs li4es entre elles
existe en chaque point et dfpend de la position du point.
Note. -
Un champ peut rcpn%enter un ph6nomkne physique, comme par exemple un champ de pression
acoustique, un champ de pesarrteur, le champ magm$tique terrestre, un champ 61ectromagn&ique.
field
State of a region in which a quantity or an interrelated set of quantities exists at each point and depends
on the position of the point.
Note. - A field may represent a physical phenomenon such as an acoustic pressure field, a gravity field,
the Earths magnetic field, an electromagnetic field.
ar
de
J k
Feld
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101-11-35
champ (2)
Grandeur scalaire, vectonelleou tensonelle, qui existe en chaque point dun domaine d6termin6et qui
d6pend de la position de ce point.
Notes 1.- Un champ peut i%.reune fonction du temps.
2.- En anglais le terme a field quantity>, en frangais a grandeur de champ >>,est aussi utilis6
pour dt%igner une grandeur telle que tension,
courant, pression acoustique, champ
61ectrique, dent le carr6 est proportionnel i une puissance clans les systkmes lim%ires.
field quantity
Scalar, vector or tensor quantity, existing at each point of a defined region and depending on the position
101-11-36
of the point.
Notes 1.-
2.-
ar
de
es
it
ja
pl
pt
Sv
A field quantity maybe a function of time.
In English the term field quantity, in French grandeur de champ, is also used to denote a
quantity such as electric tension, current, sound pressure, electric field strength, the square
of which in linear systems is proportional to power.
a J k ~
Fe1dgr6Be
- (magsdbld)
grandezza di camp, C2UIIP0
famm
wielkoii polowa
grandeza de caunpo
fiiiitatorhet
(op6rateur) nabla (symbole: V)
Vecteur syrnbolique utilis4 pour d~noter des opt$rateurs dif%$rentiels scalakes ou vectoriels, sappliquant ii
dcs champs scalaires ou veetoriels, et qui, en coordonm%s cart6siennes orthonornu%, est repn%enti par
V=exz+e ~+ez$
a x J a y
oh ex, ey,
ez
sent les vecteurs unitis des axes x, y, z.
nabla (operator) (symbol V)
Symbolic vector used to denote scalar or vector differential operators operating on scalar or vector field
quantities, and which, in orthonormal Cartesian coordinates, is represented by
V=ex&+e
a a
Ya y
+ e%
where ex, ey, ez arc unit vectors along the x, y, z axes.
es
it
ja
pl
pt
Sv
(v:
>))
(
;p )
w
Differentialoperator; Nabla(-Operator)
(operador) nabla (sfmbolo:V)
operatore nabla; rtabla
*75 (&&l+) (52% : v)
(operator) nabla
(operador) nabla
nablaoperatom
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IEC6OO5O-101 :1998
101-11-37
101-11-38
gradient
Grandeur vectonelle grad~ associee en chaque point h un champ scaiairc J, dent la direction CS[normalc
i la surface sur Iaquelle Ic champ a unc valcurconstante, clans Ie scns des champs croissants, CLdon[ la
normc CS[@galeh la valeur absolue dc la d&ivLc du champ par rapport a la distance clans ccttc direction
normatc.
Notes
1.-
Le gradient exprime la variation du champ cntrc lC point donn6 et un point situd A unc
distance intiniksimale ds clans la direction dun vecteur unit6 donncl e par Ic produit scalairc
dj= grad
f
eds.
2.- En coordonrkes cam%iennes orthonorrmtes, lcs trois coordonn~cs du gradient sent :
a f
af af
ax
~az
3.- Le gradient du champ
f
cst reprtscnti+ par grad
f
ou par V
gradient
Vector quantity grad
f
associated at each point with a scalar field quantity
f,
having a direction normal to
the surface on which the ticld quantity has a constant value, in the sense of increasing value off, and a
magnitude equal to the absolute value of the derivative of f with respect to distance in this normal
direction.
Notes 1.-
2.-
3.-
The gradient expresses the variation of the field quantity from the given point to a
point at inlini[esimal distance ds in the direction of a given unit vector e by the scalar
product dj= grad ~- eds.
In orthonormal Cartesian coordinates, the three components of the gradient are:
a f af af
ax~az
The gradient of the field quantity
f
is denoted by
grad
f
or by
VJ
a r
#-4
de
Gradient
es
gradiente
it
gradiente
ja
WE
pl
gradient
pt
gradiente
Sv
gradient
potentiel (scalaire)
Champ scalairc q,
sil cxistc, dent loppos6 du gradient est un champ vectoriel donn6fi
f=-gradq.
Notes 1.- On dit quc lCchamp vectoricl donn6 d&ive du potentiel scalairc.
2.- Lc polcnticl scalairc ncst pas unique puisquune grandeur scalaire constante quelconque
pcut &rc ajout6c i un potentiel scalairc donn~ saris changer son gradient.
(scalar) potential
Scalar tield quantity qJ,when it exists, the negative of the gradient of which is the ticld quantity
f
of a
given vector Iicki:
f=-gradq.
Notes 1.- The given vector field is said to be dcnved from the scalar potential.
2.- The scalar potential is not unique since any constant scalar quantity can be added to a given
scalar potential without changing its gradient.
ar
(&@) *
dc
(skalares) Potential
Cs
potential (eScalar)
it potenziale (scalare)
ja (xti5-) *7>>-YW
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101-11-39
iquipotentiel
Qualifie un ensemble de points qui sent tous au mSme potentiel scalaire,
equipotential
Pertaining to a set of points d] of which are at the same scalar potentiaf.
a r
de
es
it
ja
pl
pt
S v
-@I
@jLa
Aquipotential
equipotenckd
equipotenziale
%d?7>vt)b
ekwipotencjalny
equipotencial
ekvipotentiell
101-11-40
divergence
Grandeur scalaire div f associ6e en chaque point h un champ vectoriel~, 6gale Ala limite du quotient du
flux de la grandeur vectorielle sortant dune surface fet-rm$epar le volume limiti par cette surface lorsque
toutes ses dimensions g&om&.riques tendent vers Z(XO:
divj = lima~jf.endA
oil endti est Mk$ment vectoriel de surface et V le volume.
Notes 1.-
En coordonn6es cart6siennes orthonorde.s, la divergence est:
2.- La divergence du champ jest repn%entke par divjou par
V .f.
divergence
Scalar quantity div~ associated at each point with a vector field quantity~, equal to the limit of the flux of
the vector quantity which emerges from a closed surface, divided by the volume contained within the
surface when all its geodetical dimensions become intlrtitesimal:
div f = lim
+0 ~~f en dA
where endA is the vector surface element and
V
the volume.
Notes 1.- In orthonormal Cartesian coordinates, the divergence is:
Ye
es
it
ja
p]
pt
Sv
af. +afy ~ afz
divf=
a x a y a z
2.- The divergence of the field
f
is denoted by div
f
or by
V.$
u~
Divergenz
divergencia
divergenza
W&
dywergencja
diverg&seia
divergens
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101-11-42
rotationnel
Grandeur vectorielle rot ~ associ6e en chaque point h un champ vectoriel ~, &gale h la limite du quotient
de lint.5grale, sur une surface ferm6e, du produit vectoriel du champ et de l61&mentvectoriel de surface
onent~ vers lint&ieur, par le volume linrit.5 par la surface Iorsque toutes ses dimensions g60m&iques
tcndent vers zt%o :
oh endA est l616ment vectoriel de surface et
V
le volume.
Notes 1.-
En coordonn6es cark%iennes orthononn6es, les trois coordons-kes du rotationnel sent :
afz Jfy
afx afz
afy afx
. ___
ayaz azaxaxay
2.- Le rotationnel du champ~est repr6sent6 par rotf, par curl~ou parV x f.
rotation
curl
Vector quantity rot f associated at each point with a vector field quantity f, equal to the limit of the
integral over a closed surface of the vector product of the vector field quantity and the vector surface
element oriented inwards, divided by the volume contained within the surface when all its geometrical
dimensions become infinitesimal:
J
rotf=/~O~
fxend A
where e#A is the vector surface element and V the volume.
Notes 1.-
In orthonormal Cartesian coordinates, the three components of the rotation are:
afz afy
af.
afz
dfy afx
. ___
ayaz azaxaxay
2.- The rotation of the field f is denoted by
rot
f, by curl f, or by V x f.
J\J,> , J ~
:C
Rotor; Rotation
es
rotat ional
it
rotore
ja EM
p]
rotacja
pt rotational
Sv rotation
potentiel vecteur
Champ vcctoricl
A,
sil cxistc, dent Ie rotationnel est un champ vectoricl donnd f:
J=rot A
Notes 1.- on di[ quc Ic champ vectoncl donne d&ivc du potentiel vecteur.
2. L.c poumticl vcctcur ncst pas unique puisquun champ vectonel irrotationnel quelconque
pcut ilrc aj(mtd a un potcmicl vccteur donn~ saris changer son rotationnel. Lc potentiel
vcclcur CS[souvcnt choisi de tcllc sorte quc sa divergence soit nulle.
vector potential
Vector field quan~ity A, when it exists, the rotation of which is the field quantity f of a given vector tield:
Noles
3r
dc
es
it
ja
pl
pl
Sv
f=rot A
1.- The given vcclur field is said to be derived from the vector potential.
2.- ~c vector potential is not unique since any irrotational vector field quantity can be added
10 a gi vcn vector potential without changing its rotation. The vector potential is often
chosen so that its divcrgcncc is zero.
&&l *
Vektorpotential
potential vectm-
potenziale vettore
->+W
potencjal wektorowy
potential vector
vektorpotential
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laplacien (scalaire)
101-11-44
101-11-45
Grandeur scaiaire A~associt c en chaque point a un champ scalaire $, d6finie par la divergence du gradient
du champ scalaire :
Af = div grad j.
Note. - En coordonn~es cark%iennes orthonorm~es, le Iaplacien scalaire est:
a 2f +
a2f + azf
Af=
ax2
ayz a#
Laplacian (of a scalar field quantity)
Scrdar quantity A~a ssociated at each point with a scalar field quantity J equal to the divergence of the
gradient of the scalar field quantity:
Af = div gradj
Note. -
In orthonorrnal Cartesian coordinates, the Laplacian of a scalar field quantity is:
ar
de
es
ii
ja
pl
pt
Sv
a2f a2f + a2f
Af. G+
a y2 a z2
( Q+ w d ++ +>Y
(skalarer) Laplace-Operator
(angewandt auf eine skahtre
FeldgrMe)
laplaciana (eacalar)
Iaplaciano (scalare)
59597> (x*5 - o)
laplasjan (skalarny)
Iaplaciano (escalar)
laplaceoperatorn (fdr skalttrfdt)
Iaplacien vectoriel
Grandeur vectorielle & associ~e en chaque point h un champ vectoriel ~, &gale A la dit%ence entre le
gradient de la divergence du champ vectonel et le rotatiomel du rcrtationnel de ce champ :
4= grad div~- rot rotf
Note. -
En coordonn~es cark%iennes orthonorrm$es, les trois coordomEes du laplacien veetoriel sent :
a 2fx + a 2fx +
a2fx
a*fy * a*fy
a2fy ~+~+ti
. ._ -
+
a x2 a y2 a z2 a x2 a y2 a z2 a x2 a y2 a z2
Laplacian (of a vector field quantity)
Vector quantity
4
associated at each point with a vector field quantity j, equal to the gradient of the
divergence of the vector field quantity minus the rotation of the rotation of this vector field quantity:
~= grad div~- rot rot~
Note. - In orthonormal Cartesian coordinates, the three components of the Laplacian of a vector field
quantity are:
Ye
es
it
ja
pl
pt
Sv
a2fx + a2fx + a2fx
a*fy + a*fy + a*fy
, a*fz ~ a*fz; a*fz
.
a x2 a y2 a z2 a x2 a y2 a z2 a x2 a y2 a z2
e J@ J Z++ ~>Y
(vektorieller) Laplace-Operator (angewandt auf eine vektonelle Feldgr613e)
laplaciana vectorial
laplaciano vettoriale
575>7> (A? tMifW)
laplasjan wektorowy
laplaciano vectorial
Iaplaceoperatorn (for vektort%lt)
champ a flux conservatif
champ so16noYdal
Champ caract&is6 par une grandeur vectorielle de divergence nulle.
zero divergence field
solenoidal field
Field characterized by a vector field quantity having zero divergence.
dc quellenfreies Feld
Cs
campo de flujo conservative; campo adivergente
it
campo solenoidale
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champ irrotationnel
Champ
caracteris& par unc grandeur vcclonelle de rotationnel nul.
irrotational field
Field characterized by a vector tield quantity having zero rotation.
ar
de
es
it
ja
pl
pt
Sv
@J,>
J&
wirbelfreies Feld
campo irrotaciomd
campo irrotazionale
~?i I/g
pole bezwirowe
campo irrotacional
virvelfritt f7alt
101-11-47 Iigne de champ
Dans un champ vectoriel, courbe dent la tangente en chaque point a time support que Ie champ en ce
point.
field line
In a vector field, a path for which the tangent at each point is parallel to the field quantity at that point.
ar
de
es
it
ja
p]
pt
Sv
J k
Feldlinie
lima de eampo
lines di campo
fHls
Iinia pola
linha de eampo
faltlinje
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SECTION 101-12- NOTIONS RELATIVES A LINFORMATION
SECTION 101-12- CONCEPTS RELATED TO INFORMATION
101-12-01
(ISO/lEC 2382-1
-01.01.01)
(701 -O -01 MOD)
101-12-02
(701-01-02 MOD)
(702-04-01 MOD)
101-12-03
(lSO/IEC 2382-1
-01.01.02)
(701-01-II MOD)
information
Connaissance concemant un objet tel quun fait, un &Snement, une chose, un processus ou une id6e, y
compris une notion, et qui, clans un contexte d&ermin& a une signification particuli&e.
information
Knowledge concerning
objects, such as facts, events, things, processes, or ideas, including concepts, that
within a certain context has a particular meaning.
Ob+
$e
Information
es informacibn
it informazione
ja M%
pl
informacja
pt inforrn+o
Sv
information
signal
Ph6nom&ne physique dent la pn%ence, Iabsence ou les variations sent consich%$escornme reprt%entant
des information.
signal
Physicaf phenomenon whose presence, absence or variation is considered as representing information.
ar
6J21
de Signal
es Seiial
it
segnafe
ja %3%
p]
Sygnaf
pt sinal
Sv signal
donnkes
Repr6scntation r6interpr6table
dune information sous une forrne conventiomelle
communication, i2linterpretation ou au traitement.
data
Rcinterprctablc representation of information in a formalized manner suitable for
interpretation, or processing.
al&
:C
Daten
es dates
i[
dati
ja
~y
pl dane
pt dados
Sv data
convenant ~ la
communication,
-
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IS 1885 (Part 72): 2008
IEC6OO5O-101 :1998
101-12-04
code
(70 L03-t17M0D) Ensemble dc r~gles d6tinissant une corrcspondance biunivoque entrc des information et leur
(702-05-11 MOD) rcpr6sentation padescmact&res, dcssymboles oudes61&ments designd.
code
Set of rules defining a one-to-one correspondence between information and its representation by
characters, symbols or signal elements.
ar
~+
de
Code
es
Ciidigo
it
codice
ja
kod
3
p]
pt
c6digo
Sv
kod
101-12-05
101-12-06
101-12-07
analogique
Qualifie la representation dinformations au moyen dune grandeur physique susceptible ii tout instant
dun intervalle de temps continu de prendre une quelconque des vafeurs dun intervafle continu de vafeurs.
Note. La grandeur consid~rile peut, par exemple, suivre de faqon continue les vafeurs dune autre
grandeur physique repn%entant des infortnations.
a n a l o g u e
analog (US)
Pertaining to the representation of information by means of a physicrd quantity which may at any instant
within a continuous time interval assume any vafue within a continuous intervaf of vafues.
No[e. - The quantity considered may, for example, follow continuously the vafues of another physicaf
quantity representing information.
ar
+b
de
analog
es
anakigico
it
analogico
ja
7*U7
p]
anafogowy
pt anaf@ico
Sv
analog
valeur discr~te
Lune des vafeurs dun ensemble dt%ombrable de vafeurs quune grandeur peut prendre.
discrete value
One vafue in a countable set of values that a quantity may take.
de d-iskreter Wert
es valor dkcreto
it valore discreto
p] wart& dyskretna
pt valor dlscreto
Sv
diskret varde
numikique
Qualifie la representation dinformations par des tlats distincts ou des valeurs discrktes.
digital
Pertaining to the representation of information by distinct states or discrete values.
ar
de
+
digital
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IS 1885 (Part 72) :2008
IEC6OO5O-101 :1998
101-12-08
hybride (pour la representation dinformations)
Qui combine reprt%entation anatogique et reprt%entation num&ique des informations.
hybrid (for representation of information)
Pertaining to a combination of anafoguc and digital representation of information.
ar
de
Cs
it
ja
pi
pt
Sv
LJE-
hybnd (beziiglicb
der Darstellung von Information)
Idx-ido
(para la rcpresentacion de informaci6n)
ibrido
,.~yl) .7 ~ (Rl$l%%%itz)t:bo)
hybrydowy
h]%rido (para a reprcscntag~o de informagiio)
hybrid
101-12-09
logique
Quatitie une transformation dtterrnin~e dun nombrc fini de variables dentr6e h valeurs discrktes en un
nombrc .fini de variables de sortie i vateurs discr&tes.
logic
Pertaining to a defined transformation of a finite number of inputs with discrete values to a tinite number
of outputs with discrete values.
afJ-
de
logisch
es 16gica
it Iogico
ja
333
pl Iogiczny
pt
16gico
Sv
logik
-
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IS 1885 (Part 72) :2008
IEC6OO5O-101 :1998
SECTION 101-13- DISTRIBUTIONS ET TRANSFORMATIONS INTEGRALS
SECTION 101-13- DISTRIBUTIONS AND INTEGRAL TRANSFORMATIONS
101-13-01
distribution
Fonctionncllc lin~airc continue qui associc un nombrc rtel ou complcxe a toutc fonction de variable
rclcllc ou complcxc appartenarn 5 la classc des fonctions indtltiniment derivable nulles en dehors dun
intcrvallc ou domainc bomc.
Notes 1.- La d~linition provicnt dc Iouvrage original dc Laurent Schwartz. Le terme
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IS 1885 (Part 72) :2008
IEC6OO5O-101 :1998
101-13-02
(fonction) 6chelon uniti (symbole : E(x) )
fonction de Heaviside
Fonction nulle pour toute valeur n6gative de la variable indc$pendante et 6gale h lunitf pour toute valeur
positive.
Notes 1.- E(xxO) represent un 6chelon unit~ h la valeur ~ de la variable indt5pendante x.
2.- La notation H(x) est aussi utilis~e. La notation O(t) est utilis6e pour la fonction Echelon
unit~ du temps. La notation Y(x) a aussi tl~ utilist%.
unit step function (symbol: ~(x) )
Heaviside function
Function, zero for all negative vafues of the independent variable and equal to unity for all positive
values.
101-13-03
101-13-04
No[es 1.- E(x~) denotes a unit step at the value ~ of the independent variable x.
2.- Notation H(x) is also used. Notation O(l) is used for the unit step function of time.
Notation Y(x) has also been used.
de
Ekheits-Sprungfunktion; Heaviside-Funktion
es (funcidn) esca16n unidad (simbolo:
E(x));
funcion de Heaviside
it funzione gradino unitario; gradino unitario; funzione di Heaviside
ja
l#tix7.,71#1* (Z%; & (x) ) i Ak-v< Fp4 l
p] skok jednostkowy Heavisidea; funkcja Heavisidea
pt degrau unitirio; funqiio de Heaviside
Sv Heavisides stegfunktion
6chelon unit6 g6n6ra1is6
Fonction 6gale h
une constante pour toute valeur negative de la variable ind~pendante et &gale i cette
constante augment6e dune unit~ pour toute valeur positive.
Note. - c +
E(x), ofi c est une constante et E(x) est la fonction fchelon unit6, repr6sente un Echelon unit6
gf$n6ralist$.
general unit step function
Function having a constant value for afl negative values of the independent variable and a value increased
by one unit for all positive values.
Note. - c +
E(X) denotes a general unit step function where c is a constant and E(x) is the unit step
function.
ar
de
es
it
ja
pl
pt
Sv
allgemeine Elnheits-Sprungfunktion
escah5n unidad generakado
gradino
unitario
generalizzato
lJ+ltix? Y YM%fi
skok jednostkowy
degrau unitdrio generalizado
generell enhetsstegsfunktion
rampe unitk
Fonction continue nulle pour toute valeur rkgative de la variable ind6pendante et croissant litu%irement
avec une pente Egafe ~ un pour Ies vafeurs positives de la variable independante.
Nofe. - La rampe unit6 peut .$trerepr6sent6e par x E(x), oti E(x) est la fonction 6chelon unit6.
unit ramp
Continuous function, zero
for all negative values of the independent variable and increasing linearly with
a slope equal to one for positive values of the independent variable.
Note. - The
unit ramp may be denoted x E(x), where &(x) is the unit step function.
7e
es
it
ja
pl
pt
Sv
linearer Anstiegsvorgang
rarnpa unidad
ranma unitaria
nachylenie jednostkowe
rarnpa unitiria
enhetsramp
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IS 1885 (Part 72): 2008
IEC6OO5O-101 :1998
101-13-05
signum(syrnbole: sgn)
fonction
signe
Fonction dune variable reelleayant lavaleur-1 pour toutevafeur n6gative delavariable, +l pour toute
vafeur positive et Olorsque la variable est nulle.
signurn (symbol: sgn)
Function ofa real variable equal to -1 forafl negative values of the variable, +1 forall positive values
and Ofor the zero vafue.
ar
de
es
it
ja
p]
pt
Sv
Signum
(funei6n) signo (simbolo: sgn)
segno; funzione segno
.>7+L
funkcja signum
signum; funqiio sinal
signum
101-13-06
distribution de Dirac
(symbole: 5)
impulsion uniti
percussion uniti
Distribution S associant h toute fonctionflx), continue pour x = O,la valeurflO).
Notes 1.- La distribution de Dirac peut ~tre consid~r6e comme la Iimite dune fonction nulle en dehors
dun petit intervalle contenarrt forigine, positive clans cet interval}e, et dom lint@rale reste
t$gafeh Iunitc$Iorsque cet intervdle tend vers zero.
2.- La distribution de Dirac est la d6riv6e de la fonction fchelon unit~ consid6r6e comme une
distribution.
3.- La distribution de Dirac peut Stre d6finie pour toute valeur XOde la variable x. La notation
usuelle est :
f
fkt ) = ~(~-
xo)~(x)dx
Dlrac function
(symbol: 5)
unit pulse
unit impulse (US)
Distribution b assigning to any function fix), continuous for x = O, the valucflO).
Nores
1.- The
Dirac function can bc considered as the limit of a positive function, equal to zero
outside a small interval containing the origin, and the integral of which remains equal to
unity when this interval tends to zero.
2.- The Dirac function is the derivative of the unit step function considered as a distribution.
3.- The Dirac funclion can bc defined for any value ~ of the variable x. The usual notation is:
ar
de
es
it
ja
pi
pt
Sv
(
d :
>)) A l> s als: w a -j
&Distribution; Dirac-Distribution; idealer Einbeitsstoll
funei6n de Dirac (sfmbolo: 5); impufso unidad
distribuzione di Dirac; impulso unitario
?4 5 Y 91Ul : *f@{J~x
funkcja Diraea; impuls Diraea; impuls elementary
impulso unitirio; distnbuiqiio de Dkac; funqilo de Dirac
Dlracs deltafunktion
8
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IS 1885 (Part 72) :2008
IEC6OO5O-101 :1998
101-13-07
doublet unit6 (symbole : 5)
Distribution qui est 1ad6riv6e de la distribution de Dirac.
Note. - Le doublet unit6 permet dexprimer la valeur pour
pourx=~:
+~
.
~ de la d6riv6e dune fonction j(x) d~rivable
101-13-08
101-13-09
f(X~) =+ (.x -
xO)~(x)dx
unit doublet
(symbol: 5)
Distribution being the derivative of the Dirac function.
Note. - The unit doublet can be used to express the vafue for ~ of the derivative of a function Xx)
differentiable at ~:
f(X~) =-]?J (X -
xO)~(x)dx
ar
(# : >}1 ) b,>> ;&,
de
Ableitung der &Dktnbution; idealer Einheits-Wechselstoll
es
doblete unidad
(sfmbolo: 3)
it
doppietto unitario
ja
BW$7PY 1
p]
diplds
pt doblete unitirio
Sv enhetsdublett
serie de Fourier
Rcpr6sentation dune fonc[ion pdriodiquc par 1a sommc dune constante, Sgale h la vafeur moyenne de la
fonction, et dune sckie de terms sinusoidaux dent Ics fr~qucnces sent des multiples de la fr6quence de la
fonction.
Fourier series
Representation of a periodic function
by the sum of its mean value and a series of sinusoidal terms the
frequencies of which are integral multiples of [he frequency of the function.
ar
>J ~
de
Fourier-Reihe
es
serie de Fourier
it
serie di Fourier
ja
7
1)Z& (
pl
sz.ereg Fouriera
pl s6rie de Fourier
Sv Fourier-serie
transform6e de Fourier
Pour unc fonction rdcllc ou complcxc fl[) dc la variable reelle I, fonction complexc F(j@ de la variable
reeilc O, donnde par la transformation intcgrale
+-
J
F(jtn) =
f(t)e-~~l dt
-
Nofe. - La variable arrcpri%ente la pulsation.
Fourier transform
For a real or complex function xl) of the real variable f, complex function F(jm) of the real variable @
given by the integrat transformation
Note.
ar
de
Cs
it
ja
p]
pt
t-
The variable o represents angular frequency
>J~ ~-
Fourier-Transformierte
transformada de Fourier
trasformata di Fourier
7
1).x E*
transformata Fouriera
transformada de Fourier
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IEC6OO5O-101 :1998
101-13-10
transformie inverse de Fourier
Repr6scntation dune fonction r&llc ou complexeflt) de la variable r~elle I par la transformation int6grale
oh F(jojest latransform6c de Fourier delafonction.
inverse Fourier transform
Representation of a real or complex functionflt) of the real variable t by the integraf transformation
where
F(j co)is
the Fourier transform of the function.
ye
es
it
ja
pl
pt
Sv
Qs-=~
3,9
J&
FonrierintegraJ inverse Foorier-Tramvforniertq M@ahnkb on der Fourier-Transformierten
transformada inversa de Fourier
trasformata inversa dI Fourier
7- IJ@l 2 Hl
transforrnata Fouriera ndwrotna
tronsforrnada inversa de Fourier
invers Fourier-transform
101-13-11
transforrde de Laplace
Pour une fonction r6elle ou complcxe flf) de la variable rc%lle
t,
onction F(s) de la variable complexes,
donn~e par la transformation int@rale
+=
F(S) = ~ ~(t)e-~tdf
o
Note. - La variables repr6sente la pulsation complexe.
Laplace transform
For a real or complex function At) of the real variable t,unction F(s) of a complex variables given by the
integral transformation
+=-l
J
(s) = f(t)e-sfdt
o
Note. - The variables represents the complex angular frequency.
ar
de
es
it
ja
pl
pt
Sv
L~place-Transformierte
transformada de Lapface
trasformata di Laplace
5Y?XE*
transformata Laplacea
transformada de Laplace
Laplace-transform
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IEC6OO5O-101 :1998
101-13-12
transform6e inverse de Laplace
intigrale de Mellin-Fourier
Represen~tion dune fonction rAlleou complexcflr) dclavtiable r6ellef pmlawmsfomation int~ JC
o+i~
f t =+ Jks)c%is
Gj-
ofi F(s) est la transform6e de Laplace de la fonction et oii CJ est sup%ieur ou 6grd ii Iabmsse de
convergence de F(s).
inverse Laplace transform
Representation of a real or complex fimctionflt) of the real variable r by the integral transformation
rs+j-
where F(s) is the Laplace transform of the function and where Ois greater or equal to the abscissa of
convergence of F(s).
ar
de
es
it
ja
p]
pt
Sv
inverse Laplace-Transformierte; Originalfunktion der Laplace-Transformierten
transformada inversa de Laplacq integral de Mellin-Fourier
trasformata inversa di Laplace
575 XE3H4?
transformata Laplacea odwrotna; calka Mellina-Fouriera
transformada inversa de Laplace
invera Laplace-transform
101-13-13 transform% en
Z
Pour une fonction rt$elleflrr) dune variable entitie n, fonction F(z) dune variable complexe Z,donrke par
F(z) = ~f(n)z-n
n=i)
z-transform
For a real functionflrr) of a variable integer n, function F(z)
of a complex variable
z given by
F(z) =
~f(?l)z-n
=0
Z-J>
Ye
Z-Transformierte
es transformada Z
it trasformata Z
ja
z E &l
p] transformata z
pt
transformada em z
Sv Z-transform
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IS 1885 (Part 72): 2008
IEC 60050-101:1998
101-14-01
SECTION 101-14- GRANDEURS DEPENDANT DUNE VARIABLE
SECTION 101-14- QUANTITIES DEPENDENT ON A VARIABLE
r6gime t%abli
r&inse permanent
Ikt dun syst?me physique clans lequel les caractt%istiques pertinences restent constants clans le temps.
steady
State
State of a physical system in which the relevant characteristics remain constant with time,
~e
es
it
ja
pl
pt
w
statiordirer Zustand; Bebarrungszustand
en pe~nte
regime stazionario
Z?%*%
Stan Ustabmy
regime pes%mente; estado estabelecido
stationiirt tillsbind
101-14-02
transitoire (adjectif et nom)
(702-07-78 MOD) Se dit dun ph6nom&ne ou dune grandeur qui passe dun rt$gime t5tabli ?sun autre r~gime 6tabli cons~cutif.
(161-02-01 MOD)
transient (adjective
and noun)
Pertaining to or designating a phenomenon or quantity which passes from one steady state to another
consecutive steady state.
~e
es
it
ja
pl
pt
Sv
tr~len~ Ubergangs
transitorio (adjetivo y
nombre)
transitorio
% s&t
am
a
nieustalony; przejtiowy
transitckio (adjectivo e substantive); transience
transient
101-14-03
osciknt
Altemativement
croissant et dtiroissant.
OsciBating
Alternately increasing and decreasing.
ar
de
es
it
ja
pl
pt
Sv
+ b
oszillierend; schwingend
Oscilante
oscillatorio
%EJJINtl-
oscyhsj~~ drgaj~cy
Osciblnte
sviingande; osciUerande
101-14-04 oscillation
(702-02-01 MOD) Ph6nomkne physique cas-actkris6par une ou plusicurs grandeurs akernativement croissants et dt%roissarn-es.
Note. - Lc terme oscillation dtsigne aussi un cycle dun tel phhomtme.
oscillation
Physical phenomenon characterized by one or more alternately increasing and decreasing quantities.
Nofe. - The term oscillation is also used to designate one cycle of the phenomenon.
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IEC6OO5O-101 :1998
101-14-05
ap&iodique
Qualilie un passage non-oscillant dun rdgimc clabli a un autrc.
aperiodic
Pertaining [o a non-oscillating change Irom onc steady slalc to another.
ar
de
es
il
ja
pl
pl
Sv
GJy v
aperiodkch
aperhidieo
aperiodic
3H9%lKffi
aperiodyezny; nieokresowy
aperkklico
aperiodisk
101-14-06
101-14-07
101-14-08
p&idlque
Qui sc rcprodui[ idcntiquement
pour des valeurs en progression arithm6tique de la variable indt$pendante.
periodic
Identically recurring at equal intervafs of the independent variable.
ar
de
es
it
ja
pi
pl
Sv
6J~>
periodisch
peri6dico
periodico
RllW?3ti
periodyczny; Okresowy
peri6dico
periodisk
p&-iode
Difference minimale entre deux valcurs de la variable indi$pendante pour lesquelles se reproduisent
identiquemcnt Ies vafcurs dunc grandeur p.4riodiquc.
Nole. Le symbole T est utilise pour repr6sentcr la @node Iorsque la variable ind6pendante est le temps.
period
Smallest difference between two values of the independent variable at which the values of a periodic
quantity arc idcnticafly repeated.
No/e. The symbol T is used for the period when the independent variable is time.
ar
dc
es
it
ja
pl
pt
Sv
;J y
Periode; Periodendauer; PeriodenEange
periodo
periodo
Elm
Okres
periodo
svangningstid; period
fr6quence (symbolc :fl
Inverse de la gx%iode.
Note. - Le symhole~est utiliscl principalement lorsque la p&iode est un temps.
frequency (symbol: N
The reciprocal of the period.
Note. - The symbol~is mainly
used when the period is a time.
ar
de
es
it
ja
p]
pt
Sv
(f:>}l)s>j
Frequenz
freeueneia (simfxdo:fl
frequenza
EJ?W%
cz@Qtliwo&
frequihia
frekvens
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IS 1885 (Part 72) :2008
IEC6OO5O-101 :1998
101-14-09
(702-04 17
MOD)
101-14-10
101-14-11
101-14-12
synchrone
Qualitic chacun dc dcux ph6nom&ws variables clans Ie temps, de deux trames temporelles ou de deux
signaux dent les instants significaLifs homologies sent tous simultan6s ou sepaks par des intervalles de
temps de dut+e pratiqucment constante.
synchronous
Qualifying two time-varying phenomena, time scales or signals chaneterized by corresponding significant
instants which arc simultaneous or separated by time intervals of a substantially constant duration.
&lp
Ye
synchron
es sincrono
it sincrono
ja
m%l Lk
pi
synehroniczny
pt
sincrono
Sv synkron
valeur instantan6e
Valeur, h
un ins[ant donnd, dunc grandeur variabk clans k temps.
instantaneous value
The value, at a given instan[. of a time-dcpcndcnt quamity.
ar
+)4-LJ
de
AugenbIickswcrC Ylomentianwert
Cs
vator instantinen
il valore istantaneo
ja
F$@Hili
p] wartoic
ustalorw
pl
valor instantineo
Sv
momentanvarde
valeur de cr~te
Valcur maximalc dunc grmdcur ckms un intcrvallc dc temps sptcifi6.
Nole, Dans Ic cas dunc grandeur phiodiquc, linlervalle dc temps a une dur~e 6gale 5
la p&-iode.
peak value
Maximum value of a quan[i[y during a spccificd time interval.
Note. -
For a periodic quantity, lhc time interval has a duration equal to the period.
(4+ + ~
7C
Maximalwert; Spitzenwert
Cs
valor de crests; valor de pico
it valore di crests;
valore di picco
ja F9R
pl
wartoid wczytowa
pt valor de pico
Sv
toppvarde
valeur de creux
Valcur minimale dunc grandeur clans un intcrvalle de temps sp6cifi&
Nole. - Dans ICcas dune gmndcur p&iodique, lintervalle de temps a une dur6c Egale h la pt%iode.
valley value
Minimum value of a quantity during
a specified time interval.
Note. For a pcnodic quantity, the time interval has a duration equal to the period.
(~u) ~+ Q
Ye
Minimalwert; Talwert
es
valor de vane
it valore di picco negativo
ja
W&JiEi
pl
warto.$csiodlowa
pt
valor de cava
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IEC6OO5O-101 :1998
101-14-13
101-14-14
valeur de cri%ea creux
valeurde crtteacr~te
(tcrmcddsuet)
Differcncc cntre Ics valeurs de criitc et de crcux clans lC m~me intcrvalle de temps sp6citiL
Note. Danslecas d'uncgrandeur pLnodiquc, l'intcrvalle detcmps aunedur6e 6gde AlapLriode
peak-to-valley value
peak-to-peak value (obsolete)
Difference between peak and valley values during the same specified time interval.
Note. Forapcriodic quantity, tbctime intcrvalhas aduration cqualtothepcriod,
ar
de
es
it
ja
p]
pt
Sv
p-%ub ~
Schwingungsbreite; Schwankung; Spitze-Tal-Wert
valor de crests a vane
valore picco-picco
E-5 e?
warttic szczytowo-siodlowa; wartosc
mi~dzyszczytowa (termin nie zafecany w tym sensie)
valor de pico a cava;
valor de pico a pico (obsoleto)
topp-till-dalvarde
(valeur) moyenne
(valeur) moyenne arithm6tique
1) Pour n grandeurs xl, X2, x., quotient de la somme des grandeurs parn :
Y=~(x1+x2+... +xn)
n
2) Pour une grandeur d~pcndant dune variable. quotient de lint6grale de la grandeur entre deux vafeurs
donn6es de cette variable par la diff&ence des deux vafeurs :
t~
1
Y=
J
x(t)dt
tz tl
t,
Notes 1.- Dans le cas dune grandeur p&iodique, lintervalle dint6gration comprend un nombre entier
de pt%iodes.
2.- La vafeur moyenne de la grandeur X est repr6sent6e par ~, par(X) ou parXV
mean (value)
(arithmetical) mean
(arithmetical) average
1) For n quantities xt, x2, . Xn,quotientof the sum of the quantities by n:
1
x=(x~+x~+... +xn)
n
2) For a quantity depending on a variable, integral of the quantity taken between two given vafues of the
variable, divided by the difference of the two values:
2
1
Y=
J
x(t)dt
tz 21
t,
Notes I. - For a periodic quantity, tbe integration interval comprises an integral number of periods.
2.- The mean vafue of the quantity X may be denoted by ~, by (X) or by Xa
Ye
es
it
ja
p]
pt
Sv
& pM+-h
(arithmetischer) Mittelwert
valor medio; media; valor medio arit.rm%cw,media aritmi%ica
valor medlo; media (aritmetica)
%% (@i)
srednia arytmety~, (wartckc) srednia
valor m6dlo; mi%iia(aritsm%ica)
aritmetiskt medelvarde
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101-14-15
101-14-16
(valeur) moyenne quadratique
(indite : q)
1) Pour n grandeurs xl, X2, Xn, racine carke positive de la vafeur moyenne de Ieurs carn$s :
r, ltl?
1
q= -%;+X;+... +X;)
I
2) Pour
une grandeur x fonction de la variable t, racine ca.rm%positive de la valeur moyenne du carr~ de
la grandeur prise sur un intervalle donn~ de la variable :
Xq:[_,[x(t)ldt]
t/2
to+T
1
2
T
L 10
J
Note. - Darrs Ie cas dune grandeur p6riodique, lintervafle dint6gration comprend un nombre entier de
penodes.
root-mean-square value (1) (subscript: q)
rms value (1)
quadratic value
1)
For n quantities xl, X2, . xn, positive square root of the mean vafue of their squares:
[
I/2
Xq=
~(x~+x;+...+x:)
n
2) For a quantity x depending on a variable
t,
positive square root of the mean vafue of the square of the
quantity taken over a given interval of the variable:
[1
V2
to
+T
1
Xq= ~
j[
(t) 2
dt
b
Note. - For a periodic quantity, the integration interval comprises an integral number of periods.
M
de
es
it
ja
pl
pt
Sv
quadratischer Mittelwert
vafor medio cuadratico
(subindicc: q)
valore medio quadratic; media quadratic
=%%Mli&
Srednia kwadratowa
valor quadratic medio; midia quadratic
kvadrtiskt medelvarde
valeur efficace
Pour une grandeur ddpendant du tcmps, racinc carr(te positive de la valeur moyenne du carr~ de la
grarrdcur sur un intcrvallc dc tcmps donn~.
Noles 1.- Dans lc cas dunc grandeur pdriodiquc, Iintervallc dc temps comprcnd un nombre enticr dc
pcnodcs.
2.- Pour unc grandeur sinusoidal a(f)= Am cos (O f + ~), la valcur eflicacc cst A = A W
root-mean-square value (2)
rms value
(2)
effective value
For a time-dcpcndcnt quantity, positive square root of the mean value of the square of the quantity taken
over a given time inLcrval.
No[es 1.- For a periodic quantity, the time interval comprises an in~egral number of pcnods,
2.- For a sinusoidal quantity a(t)=
Am cos (W I + ~),
therms value is
A = A fi
ar
dc
es
it
ja
p]
pt
Sv
(Y) k%>
+-s-
L .AJ .A +jJl y i Al : ilk
Q
Effektivwert
vafor eficaz
valore efficace
$%fffi
wartoic skuteczna
valor eficaz
effektivvarde
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101-14-17
(valeur) moyenne giomitrique
(indite :,g)
1) Pourngrmdeurs positives x1,x2, . . .xn. racinen-i&me positive deleurproduit:
Xg = (XlXl... ..xn)lJn
2) Pour unc grandeur x fonction de la variable r, grandeur Xg d6termin6e 2 partir des vateurs de 1a
grandeur x(t) par Iexpression
T
J
x(t) ~t
g 1 log_
log
Xmf T x~f
o
Oh~ef est
une vafeur de r&f6rence.
Note. - Dans le cas dune grandeur p6riodique, lintervafle dint@ration comprend un nombre entier de
pt%iodes.
geometric average (subscript: g)
logarithmic average
$:eometri~ mean v~ue
1) For n positive quantities xl, X2, Xn, positive nth root of heir product:
Xg= (XI-X2...xn)i)n
2) For a quantity x depending on a variable t, quantity Xg calculated from the values of the given
quantity by the expression
T
J
x(t) ~~
g 1 log_
log
Xmf T
x ref
o
where ~f is a reference vatue.
No/e. - For a periodic quantity, the integration intervat comprises an integraf number of periods.
N
(g:Y}~)&Q~Y&-J~J~PG~~* Q
de
geometrischer Mittelwert
es media geomt%rica;vator medio geom&trico (subindice: g)
it media geometric; valore medio geometric
ja
#l%F@
p]
irednia geometryczna
pl valor m~dio geom6trico; mcldla geom6trica
Sv geometrikt medelvarde
101-14-18 (valeur) moyenne harmonique
(indite : h)
1)
2)
Pour n grandeurs xl, x2, Xn, inverse de la vafeur moyenne dc leurs inverses :
~=~(~+~+...+~)
x~
n
x] X2
n
Pour une grandeur x fonction de la variable t, grandeur Xh ddinie comme linverse de la valcur
moyenne de Iinverse dc la grandeur donn~e :
11
ldt
J
.
x~ T o X(t)
Note. - Dans Iecas dune grarrdeur p6riodique, lintervatle din@ration comprend un nombre entier de P6riodes.
harmonic average
(subscript: h)
inverse average
harmonic mean value
1) For n quantities xl, X2, . . Xn,reciprocal of the mean vatue of their reciprocals:
*= I(L+L+...++)
n xl X2
2) For a quantity x depending on a variable t, quantity Xhdefined by the reciprocal of the mean vatue of
the reciprocal of the given quantity:
llTldt
J
=
x~
T o x t
No/e. - For a periodic quantity, the integration interval comprises an integral number of periods.
ar
(hI#)#+~~;~~~:@+ by~
de
harmonischer Mittelwert
es
valor medio armiinico (subfndice: h); media armdniea
it rneda armonicw, valore medlo armonico
ja
a%t~e
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101-14-19 oscillation amortie
Oscillation clans laquelle lcs vrdeurs de cr~te h creux successive d6croissent.
damped oscillation
Oscillation
whose successive peak-to-valley values decrease.
ar
de
es
it
ja
pl
pt
Sv
il.i&4 &i+i
gediirnpfte Schwingung
oscilaci6n amortiguada
oscillazione smorzata
*S%%
drganie thunione
oscilaqiio amortecida
dampad svangning
101-14-20
coefficient damortissement
(symbole: 3)
Grandeur 5 clans lexpression A. e-~ f fir) dune oscillation amortie exponentiellement, oii At) est une
fonction p6riodique.
damping coeftlcient (symbol: 5)
Quantity ~in the expression
A. e-~fll
of an exponentially damped oscillation, whemflf) is a periodic function.
Ye
es
it
jii
pi
pl
Sv
Abklingkoefflz(ent -
cocficiente de amortiguarniento (simholo: 6)
coeftlciente di smorzamento
is@* (%3% : ~)
wsp6iczynnik tiumienia
coeficiente de amortecimento
dampningskoeftlcient
101-14-21
oscillation forc6e
Oscillation impos~e clans un systemc physique par une action exttkieure.
forced oscillation
Oscillation produced in a physical system by an external excitation.
ar
dc
es
it
ja
p]
pt
Sv
erzwur~gene Schwingung
oscilacion forzada
oscillazione forzata
WmfIWJ
drganie wymuszone
oscilaqiio forqada
p~tvingad svangning
101-14-22
oscillation Iibre
Oscillation clans un syst~me physique lorsque Iapport d6nergie extt%ieure a cess6.
free oscillation
Oscillation in a physical
system when the supply of external energy has been removed,
ar
de
es
it
ja
pl
pt
Sv
J J
. .
freie Schwingung
oseilaci6n libre
oscillazione libera
EIQI%NJ
drganie swobodne; drganie wkwne
oscila@io Iivre
fri svangning
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101-14-23
r(isonance
Ph&nom&sesepmduisrmtdans un syst~me physique Iorsque lap6riode dune oscillation forc6eest telle
que la grandeur carack%istique de loscillation ou sa d6riv6e par rapport au temps passe par un extr6mum.
No/e. - A la n%onance, la pt%iode de loscillation fon%e est souvent voisine de celle dune oscillation
libre.
resonance
Phenomenon Occurnng in an physical system when the period of a forced oscillation is such that the
characteristic quantity of the oscillation or its time derivative reaches an extremum.
Note. - At resonance, the period of the forced oscillation is often close to that of a free oscillation.
101-14-24
101-14-25
ar
&J
de Resonanz
es resommcia
it
risonan? a
ja *%
pl rezonans
pt
ressotinaa
Sv
resonans
cycle
Ensemble des 6tats ou des valeurs par Iesquels un phsnom~ne ou une grandeur passe darts un ordre
d6termin6, qui peut i%rer6p6t6.
cycle
Se[
of
states or of values through which a phenomenon or a quantity passes in a given repeatable order.
;JJ>
2
Zyklus
es ciclo
it ciclo
ja
?d?lb
p]
Cyld
pt ciclo
Sv
cykel
oscillation de relaxation
Oscillation
dent chaque cycle ri%ltc dune accumulation Iente dt%rergie clans un ~lement dun syst?me
physique, suivic du transfcrt brusque dc cettc Energic clans un autre 616mcnt ou de sa dissipation.
relaxation oscillation
Oscillation in which every cycle is the result of energy being accumulated slowly in onc element of a
physical systcm, then transferred rapidl y to another one or dissipated.
ar
de
Cs
it
ja
p]
pt
Sv
Rdaxationsschwingung
oscilaci6n de relajaci6n
oscillazione di rilassamento
H%ill&fi
drganie rek+ks.acyjne
oscilagiio de relaxaqiio
vippsvangning
101-14-26 impulsion
(16 1-02-02 MOD) Variation dune grandeur physique constitute par un passage dune vdeur a une autre suivi imrrkdiatcmcnt
(702-03-01
MOD)
ou apr% un certain intervalle de temps dun retour a