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Unformatted text preview: 2.8. Prove the theorem: The sum or difference of two tensors of the same type and rank (with the same number of covariant and the same number of con travariant indices) is again a tensor of the same type and rank. Thus, any linear combination of tensors of the same type and rank is again a tensor of the same type and rank. 2.9. Theorem. Let A{:','.'&r, l3Ei:::kp be tensors. The equation is a tensor equation; i.e., if this equation is true in some coordinate system, then it is true in all coordinate systems which are in onetoone correspondence with each other. Hint: Use the results of the previous problems. 2.6. SOME IMPORTANT SPECIAL TENSORS If we define the Kronecker delta and the permutation symbol introduced in Sec. 2.1 as components of covariant, contravariant, and mixed tensors of...
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 Fall '05
 Thomson

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