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IEVref: | 102-03-48 | ID: | |

Language: | en | Status: Standard | |

Term: | scalar product, <of two tensors> | ||

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Definition: | for two tensors of the second-order $T=({T}_{ij})$ and $S=({S}_{kl})$, scalar defined by $T:S={\displaystyle \sum _{mn}{T}_{mn}}{S}_{nm}$ Note 1 to entry: The scalar product of two tensors is denoted by a colon (:) between the two symbols of the tensors. | ||

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 scalar product of two tensors is denoted by a colon (:) between the two symbols of the tensors.