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Tagged with classical-mechanics linear-algebra
3 questions
2
votes
0
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104
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How to quantify the non-commutativity of human body motion? [closed]
Some years ago, there was that question on this forum:"How to quantify noncommutativity?".
I am asking that question in a context, human movement, which implies kinematic chains (like in ...
1
vote
1
answer
176
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Derivative of eigenpair with respect to matrix
Suppose that $A$ is real and symmetric matrix (or tensor) of dimension $3 \times 3$, with its spectral decomposition
$$A = \sum_{i=1}^3 \lambda_i\ n_i\otimes n_i$$
where $\lambda_i$, $n_i$ and $\...
11
votes
2
answers
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Derivative of eigenvectors of a matrix with respect to its components
Suppose that $B$ is a real, positive-definitive symmetric ($3\times3$) matrix (more accurately, $B$ is a tensor) with distinct eigenvalues, and that we can write it as
$$
B= \sum_{i=1}^3 \lambda_{i}(...