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IEVref: | 102-03-46 | ID: | |

Language: | en | Status: Standard | |

Term: | tensor product, <of a tensor and a vector> | ||

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Definition: | tensor of the third order defined by the trilinear form equal to the product of the bilinear form defining a tensor of the second order on a given Euclidean space and the linear form identified with a vector in the same space Note 1 to entry: The components of the tensor product of the tensor $T$ and the vector Note 2 to entry: The tensor product of a tensor and a vector is denoted by $T\otimes U$. | ||

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 the tensor product of the tensor $T$ and the vector ** U** are: ${(T\otimes U)}_{ijk}={T}_{ij}{U}_{k}$.

Note 2 to entry: The tensor product of a tensor and a vector is denoted by $T\otimes U$.