Asymmetric Tensor: Overview & Uses

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izzi wekwek
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Is this a homework problem? If so, it should go in the appropriate homework forum, and the homework template should be filled out.

Also, formulas should not be pasted in as images; they should be done using the PF LaTeX feature. Otherwise it's impossible for people to quote your formulas properly when responding.
 
No, this is not a homework, I just learn by myself. thank you for your suggestion.
 
We also don't know how to calculate the term, because you don't give us what this omega is. Because omega is antisymmetric, the summation however simplifies, because only ##\frac{1}{2}D(D-1)## components of it are independent.