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Area Mathematics - General concepts and linear algebra / Numbers

IEV ref 102-02-14

en
conjugate
complex number obtained from a given complex number by replacing the imaginary part by its negative

Note 1 to entry: The conjugate of the complex number c=a+jb=|c| e jφ MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHX garuavP1wzZbItLDhis9wBH5garmWu51MyVXgarqqtubsr4rNCHbGe aGqk0di9Wr=fpeei0di9v8qiW7rqqrVepeea0xe9LqFf0xc9q8qqaq Fn0lXdHiVcFbIOFHK8Feea0dXdar=Jb9hs0dXdHuk9fr=xfr=xfrpe WZqaaeaaciWacmGadaGadeaabaGaaqaaaOqaaiaadogacqGH9aqpca WGHbGaey4kaSscLbsacaGGQbGccaWGIbGaeyypa0ZaaqWaaeaacaWG JbaacaGLhWUaayjcSdGaaiyzamaaCaaaleqabaGaaiOAaiabew9aMb aaaaa@47CD@ is c*=ajb=|c| e jφ MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHX garuavP1wzZbItLDhis9wBH5garmWu51MyVXgarqqtubsr4rNCHbGe aGqk0di9Wr=fpeei0di9v8qiW7rqqrVepeea0xe9LqFf0xc9q8qqaq Fn0lXdHiVcFbIOFHK8Feea0dXdar=Jb9hs0dXdHuk9fr=xfr=xfrpe WZqaaeaaciWacmGadaGadeaabaGaaqaaaOqaaiaadogacaGGQaGaey ypa0JaamyyaiabgkHiTKqzGeGaaiOAaOGaamOyaiabg2da9maaemaa baGaam4yaaGaay5bSlaawIa7aiaacwgadaahaaWcbeqaaiabgkHiTi aacQgacqaHvpGzaaaaaa@4973@ . In mathematics, the conjugate of c is often denoted by c ¯ MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHX garuavP1wzZbItLDhis9wBH5garmWu51MyVXgarqqtubsr4rNCHbGe aGqk0di9Wr=fpeei0di9v8qiW7rqqrVepeea0xe9LqFf0xc9q8qqaq Fn0lXdHiVcFbIOFHK8Feea0dXdar=Jb9hs0dXdHuk9fr=xfr=xfrpe WZqaaeaaciWacmGadaGadeaabaGaaqaaaOqaamaanaaabaGaam4yaa aaaaa@39C6@ .

Note 2 to entry: The concept of conjugate may be applied to complex scalar, vector or tensor quantities or to matrices of complex elements.


fr
conjugué, m
nombre complexe déduit d'un nombre complexe donné en remplaçant la partie imaginaire par son opposée

Note 1 à l'article: Le conjugué du nombre complexe c=a+jb=|c| e jφ MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHX garuavP1wzZbItLDhis9wBH5garmWu51MyVXgarqqtubsr4rNCHbGe aGqk0di9Wr=fpeei0di9v8qiW7rqqrVepeea0xe9LqFf0xc9q8qqaq Fn0lXdHiVcFbIOFHK8Feea0dXdar=Jb9hs0dXdHuk9fr=xfr=xfrpe WZqaaeaaciWacmGadaGadeaabaGaaqaaaOqaaiaadogacqGH9aqpca WGHbGaey4kaSscLbsacaGGQbGccaWGIbGaeyypa0ZaaqWaaeaacaWG JbaacaGLhWUaayjcSdGaaiyzamaaCaaaleqabaGaaiOAaiabew9aMb aaaaa@47CD@ est c*=ajb=|c| e jφ MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHX garuavP1wzZbItLDhis9wBH5garmWu51MyVXgarqqtubsr4rNCHbGe aGqk0di9Wr=fpeei0di9v8qiW7rqqrVepeea0xe9LqFf0xc9q8qqaq Fn0lXdHiVcFbIOFHK8Feea0dXdar=Jb9hs0dXdHuk9fr=xfr=xfrpe WZqaaeaaciWacmGadaGadeaabaGaaqaaaOqaaiaadogacaGGQaGaey ypa0JaamyyaiabgkHiTKqzGeGaaiOAaOGaamOyaiabg2da9maaemaa baGaam4yaaGaay5bSlaawIa7aiaacwgadaahaaWcbeqaaiabgkHiTi aacQgacqaHvpGzaaaaaa@4973@ . En mathématiques, le conjugué de c est souvent noté c ¯ MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHX garuavP1wzZbItLDhis9wBH5garmWu51MyVXgarqqtubsr4rNCHbGe aGqk0di9Wr=fpeei0di9v8qiW7rqqrVepeea0xe9LqFf0xc9q8qqaq Fn0lXdHiVcFbIOFHK8Feea0dXdar=Jb9hs0dXdHuk9fr=xfr=xfrpe WZqaaeaaciWacmGadaGadeaabaGaaqaaaOqaamaanaaabaGaam4yaa aaaaa@39C6@ .

Note 2 à l'article: Le concept de conjugué peut s'appliquer aux grandeurs scalaires, vectorielles ou tensorielles complexes et aux matrices d'éléments complexes.


de
konjugiert-komplexe Zahl, f

es
conjugado

ko
켤레
공액

ja
共役
共軛

nl
be complex toegevoegde, <van een complex getal> n

pl
liczba zespolona sprzężona
liczba sprzężona

pt
conjugado

sr
конјугована вредност, ж јд

sv
komplext konjugat

zh
共轭

Publication date: 2008-08
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