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Results tagged with tensor
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user 159574
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Analytical decomposed form of a specific traceless symmetric tensor
Thanks to Zach Teitler for the comment that this tensor is associated with elementary symmetric polynomial (ESP). … The $N$-way, $M$-dimensional tensor $\mathcal{Z}$ is equivalent to the ESP $S_{N}^{M}$ -
\begin{align*}
\mathcal{Z}_{p_1 ... p_N}
&= \sum_{\mu (I) = 1}^{R} \: \alpha_{\mu} \: t_{p_1}^{\mu} ... t_{p_N …
- 47
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Analytical decomposed form of a specific traceless symmetric tensor
For a general tensor, probably I can do a numerical tensor decomposition (e.g., a symmetric tensor decomposition). … But I was wondering, since it is such a simple tensor (elements are either 1 or 0), is there an analytical decomposed expression for this tensor? …
- 47