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IEVref: | 102-03-49 | ID: | |

Language: | en | Status: Standard | |

Term: | Kronecker tensor | ||

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Definition: | tensor of the second order with components ${T}_{ij}={\delta}_{ij}$ where ${\delta}_{ij}$ is the Kronecker delta, equal to 1 if i = j and 0 if i ≠ jNote 1 to entry: The components of the Kronecker tensor are independent of the base used. The inner product of the Kronecker tensor and a tensor or a vector is equal to this tensor or vector. Note 2 to entry: When the properties of an anisotropic medium are represented at each point by a tensor quantity of the second order, this quantity reduces, in an isotropic medium, to the product of the Kronecker tensor and a scalar quantity. In practice, the quantity is then considered as a scalar quantity. | ||

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 Kronecker tensor are independent of the base used. The inner product of the Kronecker tensor and a tensor or a vector is equal to this tensor or vector.

Note 2 to entry: When the properties of an anisotropic medium are represented at each point by a tensor quantity of the second order, this quantity reduces, in an isotropic medium, to the product of the Kronecker tensor and a scalar quantity. In practice, the quantity is then considered as a scalar quantity.