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IEVref: | 102-03-40 | ID: | |

Language: | en | Status: backup | |

Term: | tensor quantity | ||

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Definition: | quantity $Q$ which can be represented by a tensor of the second order $T$ multiplied by a scalar quantity q: $Q=qT$ NOTE 1 A tensor quantity often describes a linear transformation of a vector quantity : V${V}_{i}={\displaystyle \sum _{j}{Q}_{ij}}{U}_{j}$ NOTE 2 The expression of a tensor quantity in terms of its components is similar to the expression of vector quantities (see Note 1 to 102-03-22). Examples of tensor quantities are the permittivity and the permeability in anisotropic media, see IEC 60050-121. NOTE 3 Operations defined for tensors apply to tensor quantities. | ||

Publication date: | 2007-08 | ||

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$Q=qT$

NOTE 1 A tensor quantity often describes a linear transformation of a vector quantity ** U** into a vector quantity

${V}_{i}={\displaystyle \sum _{j}{Q}_{ij}}{U}_{j}$

NOTE 2 The expression of a tensor quantity in terms of its components is similar to the expression of vector quantities (see Note 1 to 102-03-22). Examples of tensor quantities are the permittivity and the permeability in anisotropic media, see IEC 60050-121.

NOTE 3 Operations defined for tensors apply to tensor quantities.

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