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Voigt form


In mathematics, Voigt form or Voigt notation in multilinear algebra is a way to represent a symmetric tensor by reducing its order.

For example, a 2×2 symmetric tensor, X has only three distinct elements, the two on the diagonal and the other being off-diagonal. Thus it can be expressed as the vector \langle x_{1 1}, x_{2 2}, x_{1 2}\rangle.

A three-dimensional fourth-order tensor can be reduced to a 6×6 matrix.



07-14-2008 23:18:10
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