This appendix details the proofs of several important postulations used in Chapters 3 and 4. Each of these proofs is performed for tensors of general rank expressed in explicit standard notation.** Section C.1 provides the precise formulation of the use of this notation for general rank tensors. In addition the dot-, cross-, and tensor-product operations are shown for general rank tensors with the introduction of a generalized operator symbol denoted by an asterisk “*” used to denote any one of these three operators.
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