Evaluating Symmetric/Antisymmetric Tensors Rank 5 Dimension 999

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The discussion focuses on evaluating the independent components of symmetric and antisymmetric tensors of rank 5 in a 999-dimensional space. Participants suggest starting with simpler cases, such as rank 2 tensors in a 3-dimensional space, to build understanding. The evaluation steps for symmetric tensors involve using the formula n(n+1)/2, while for antisymmetric tensors, it is n(n-1)/2. The complexity increases significantly with higher ranks and dimensions, making it essential to grasp the foundational concepts first. Detailed calculations and examples are requested to aid comprehension.
Rahat
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please if possible send me the evaluation steps of independent components of a symmetric and antisymmetric tensor of rank 5 and dimension 999.
 
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Sounds like a homework problem.
Start with something simple first... like rank 2 with dimension 3.
 

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