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Results tagged with tensor-calculus
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user 390939
Tensor calculus (tensor analysis) is a systematic extension of vector calculus to multivector and tensor fields in a form that is independent of the choice of coordinates on the relevant manifold, but which accounts for respective sub-spaces, their symmetries, and their connections.
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Correct order for tensor operations, when expressed in matrix form
When using Einstein convention, with explicit indices, we usually write
$$
A_{\alpha\beta} = \eta_{\alpha\mu}\eta_{\beta\nu}A^{\mu\nu}
$$
But in matrix form, the order of the operations matters, and w …
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