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Area Mathematics - General concepts and linear algebra / Vectors and tensors

IEV ref102-03-42

en
symmetric tensor
tensor of the second order defined by a symmetric bilinear form f(U,V)=f(V,U) MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHX garuavP1wzZbItLDhis9wBH5garmWu51MyVXgarqqtubsr4rNCHbGe aGqk0di9Wr=fpeei0di9v8qiW7rqqrVepeea0xe9LqFf0xc9q8qqaq Fn0lXdHiVcFbIOFHK8Feea0dXdar=Jb9hs0dXdHuk9fr=xfr=xfrpe WZqaaeaaciWacmGadaGadeaabaGaaqaaaOqaaiaadAgacaGGOaGaaC yvaiaabYcacaaMe8UaaCOvaiaacMcacqGH9aqpcaWGMbGaaiikaiaa hAfacaqGSaGaaGjbVlaahwfacaGGPaaaaa@464D@

Note 1 to entry: The components of a symmetric tensor are such that T ij = T ji MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHX garuavP1wzZbItLDhis9wBH5garmWu51MyVXgarqqtubsr4rNCHbGe aGqk0di9Wr=fpeei0di9v8qiW7rqqrVepeea0xe9LqFf0xc9q8qqaq Fn0lXdHiVcFbIOFHK8Feea0dXdar=Jb9hs0dXdHuk9fr=xfr=xfrpe WZqaaeaaciWacmGadaGadeaabaGaaqaaaOqaaiaadsfadaWgaaWcba GaamyAaiaadQgaaeqaaOGaeyypa0JaamivamaaBaaaleaacaWGQbGa amyAaaqabaaaaa@3FA1@ . An example is the tensor product of a vector by itself.


fr
tenseur symétrique, m
tenseur du deuxième ordre défini par une forme bilinéaire symétrique f(U,V)=f(V,U) MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHX garuavP1wzZbItLDhis9wBH5garmWu51MyVXgarqqtubsr4rNCHbGe aGqk0di9Wr=fpeei0di9v8qiW7rqqrVepeea0xe9LqFf0xc9q8qqaq Fn0lXdHiVcFbIOFHK8Feea0dXdar=Jb9hs0dXdHuk9fr=xfr=xfrpe WZqaaeaaciWacmGadaGadeaabaGaaqaaaOqaaiaadAgacaGGOaGaaC yvaiaabYcacaaMe8UaaCOvaiaacMcacqGH9aqpcaWGMbGaaiikaiaa hAfacaqGSaGaaGjbVlaahwfacaGGPaaaaa@464D@

Note 1 à l'article: Les coordonnées d'un tenseur symétrique sont telles que T ij = T ji MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHX garuavP1wzZbItLDhis9wBH5garmWu51MyVXgarqqtubsr4rNCHbGe aGqk0di9Wr=fpeei0di9v8qiW7rqqrVepeea0xe9LqFf0xc9q8qqaq Fn0lXdHiVcFbIOFHK8Feea0dXdar=Jb9hs0dXdHuk9fr=xfr=xfrpe WZqaaeaaciWacmGadaGadeaabaGaaqaaaOqaaiaadsfadaWgaaWcba GaamyAaiaadQgaaeqaaOGaeyypa0JaamivamaaBaaaleaacaWGQbGa amyAaaqabaaaaa@3FA1@ . Un exemple est le produit tensoriel d'un vecteur par lui-même.


de
symmetrischer Tensor, m

es
tensor simétrico

ja
対称テンソル

pl
tensor symetryczny

pt
tensor simétrico

sr
симетрични тензор, м јд

sv
symmetrisk tensor

zh
对称张量

Publication date: 2008-08
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