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- W2019612192 abstract "In this paper, it is shown that irreducible representations for r-th-order-tensor-valued isotropic or anisotropic tensor functions depending on an arbitrary number of vectors and second order tensors as variables may be formed by the union of irreducible representations for certain r-th-order-tensor-valued isotropic or anisotropic tensor functions merely depending on not more than three variables (for r ≧ 1) or four variables (for r = 0) and hence that the representation problem for the former may be reduced to that for the latter. In dieser Arbeit wird gezeigt, daß irreduzible Darstellungen für tensor-wertige isotrope oder anisotrope Tensor-Funktionen r-ter Ordnung, die von einer beliebigen Anzahl von Vektoren und Tensoren zweiter Ordnung als Variablen abhängen, durch die Vereinigung irreduzibler Darstellungen für gewisse tensor-wertige isotrope oder anisotrope Tensor-Funktionen r-ter Ordnung gebildet werden können, die nunmehr von nicht mehr als drei Variablen (fü r ≧ 1) oder vier Variablen (für r = 0) abhängen und daß somit das Darstellungsproblem für die ersteren auf dasjenige für die letzteren zurückgeführt werden kann." @default.
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- W2019612192 title "Two General Representation Theorems for Arbitrary-Order-Tensor-Valued Isotropic and Anisotropic Tensor Functions of Vectors and Second Order Tensors" @default.
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- W2019612192 doi "https://doi.org/10.1002/zamm.19960760310" @default.
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