IEVref:
102-02-16
ID:
Language:
en
Status:
Obsolete
Term:
modulus (of a complex number)
Synonym1:
Synonym2:
Synonym3:
Symbol:
Definition:
non-negative real number
|
c
|
MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHX garuavP1wzZbItLDhis9wBH5garmWu51MyVXgarqqtubsr4rNCHbGe aGqk0di9Wr=fpeei0di9v8qiW7rqqrVepeea0xe9LqFf0xc9q8qqaq Fn0lXdHiVcFbIOFHK8Feea0dXdar=Jb9hs0dXdHuk9fr=xfr=xfrpe WZqaaeaaciWacmGadaGadeaabaGaaqaaaOqaa4WaaqWaaOqaaiaado gaaiaawEa7caGLiWoaaaa@3CEF@
, the square of which is equal to the product of a complex number
c
=
a
+
j
b
MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHX garuavP1wzZbItLDhis9wBH5garmWu51MyVXgarqqtubsr4rNCHbGe aGqk0di9Wr=fpeei0di9v8qiW7rqqrVepeea0xe9LqFf0xc9q8qqaq Fn0lXdHiVcFbIOFHK8Feea0dXdar=Jb9hs0dXdHuk9fr=xfr=xfrpe WZqaaeaaciWacmGadaGadeaabaGaaqaaaOqaaiaadogacqGH9aqpca WGHbGaey4kaSIaaiOAaiaadkgaaaa@3E58@
and its conjugate:
|
c
|
=
c
⋅
c
*
=
a
2
+
b
2
MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHX garuavP1wzZbItLDhis9wBH5garmWu51MyVXgarqqtubsr4rNCHbGe aGqk0di9Wr=fpeei0di9v8qiW7rqqrVepeea0xe9LqFf0xc9q8qqaq Fn0lXdHiVcFbIOFHK8Feea0dXdar=Jb9hs0dXdHuk9fr=xfr=xfrpe WZqaaeaaciWacmGadaGadeaabaGaaqaaaOqaamaaemaabaGaam4yaa Gaay5bSlaawIa7aiabg2da9maakaaabaGaam4yaiabgwSixlaadoga caGGQaaaleqaaOGaeyypa0ZaaOaaaeaacaWGHbWaaWbaaSqabeaaca aIYaaaaOGaey4kaSIaamOyamaaCaaaleqabaGaaGOmaaaaaeqaaaaa @486B@
NOTE The concept of modulus may be applied to complex scalar quantities.
Publication
date
:
2007-08
Source
Replaces:
Internal notes:
2017-06-02: Cleanup - Remove Attached Image 102-02-16en.gif
CO remarks:
TC/SC remarks:
VT remarks:
Domain1:
Domain2:
Domain3:
Domain4:
Domain5:
non-negative real number
|
c
|
MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHX garuavP1wzZbItLDhis9wBH5garmWu51MyVXgarqqtubsr4rNCHbGe aGqk0di9Wr=fpeei0di9v8qiW7rqqrVepeea0xe9LqFf0xc9q8qqaq Fn0lXdHiVcFbIOFHK8Feea0dXdar=Jb9hs0dXdHuk9fr=xfr=xfrpe WZqaaeaaciWacmGadaGadeaabaGaaqaaaOqaa4WaaqWaaOqaaiaado gaaiaawEa7caGLiWoaaaa@3CEF@
, the square of which is equal to the product of a complex number
c
=
a
+
j
b
MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHX garuavP1wzZbItLDhis9wBH5garmWu51MyVXgarqqtubsr4rNCHbGe aGqk0di9Wr=fpeei0di9v8qiW7rqqrVepeea0xe9LqFf0xc9q8qqaq Fn0lXdHiVcFbIOFHK8Feea0dXdar=Jb9hs0dXdHuk9fr=xfr=xfrpe WZqaaeaaciWacmGadaGadeaabaGaaqaaaOqaaiaadogacqGH9aqpca WGHbGaey4kaSIaaiOAaiaadkgaaaa@3E58@
and its conjugate:
|
c
|
=
c
⋅
c
*
=
a
2
+
b
2
MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHX garuavP1wzZbItLDhis9wBH5garmWu51MyVXgarqqtubsr4rNCHbGe aGqk0di9Wr=fpeei0di9v8qiW7rqqrVepeea0xe9LqFf0xc9q8qqaq Fn0lXdHiVcFbIOFHK8Feea0dXdar=Jb9hs0dXdHuk9fr=xfr=xfrpe WZqaaeaaciWacmGadaGadeaabaGaaqaaaOqaamaaemaabaGaam4yaa Gaay5bSlaawIa7aiabg2da9maakaaabaGaam4yaiabgwSixlaadoga caGGQaaaleqaaOGaeyypa0ZaaOaaaeaacaWGHbWaaWbaaSqabeaaca aIYaaaaOGaey4kaSIaamOyamaaCaaaleqabaGaaGOmaaaaaeqaaaaa @486B@
NOTE The concept of modulus may be applied to complex scalar quantities.