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- W2085509758 abstract "Abstract The general form of anisotropic vector functions of vector argument, compatible with crystal symmetry, is derived. The desired functions- V i = V i (A) are represented as V i = ∑ W i μ f μ , where W i ( μ ) are some fixed polynomials of the components of the vector A. whose specific form is indicated for each class of crystal symmetry, and f μ are arbitrary functions of three functionally independent invariants of the vector A relative to the point group corresponding to this class. The obtained expansions satisfy the uniqueness and polynomial correspondence requirements. The former means that for given polynomials W i ( μ ) the functions f μ are defined uniquely by the functions V i ; the latter means that the functions f μ are polynomials of their arguments if the V i are polynomials of the components of the vector A. These expansions are particularly convenient when the components of the vector-functions are polynomials of the components of the vector-argument." @default.
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- W2085509758 date "1966-01-01" @default.
- W2085509758 modified "2023-09-26" @default.
- W2085509758 title "Anisotropic vector functions of vector argument" @default.
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- W2085509758 doi "https://doi.org/10.1016/0021-8928(67)90178-5" @default.
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