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IEVref: | 102-03-42 | ID: | |

Language: | en | Status: Standard | |

Term: | symmetric tensor | ||

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Definition: | tensor of the second order defined by a symmetric bilinear form $f(U\text{,}\text{\hspace{0.17em}}V)=f(V\text{,}\text{\hspace{0.17em}}U)$ Note 1 to entry: The components of a symmetric tensor are such that ${T}_{ij}={T}_{ji}$. An example is the tensor product of a vector by itself. | ||

Publication date: | 2008-08 | ||

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Internal notes: | 2017-02-20: Editorial revisions in accordance with the information provided in C00019 (IEV 102) - evaluation. JGO | ||

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Note 1 to entry: The components of a symmetric tensor are such that ${T}_{ij}={T}_{ji}$. An example is the tensor product of a vector by itself.