Generalized scalar products in Minkowski metric spaces (Q830786)

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scientific article; zbMATH DE number 7346561
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Generalized scalar products in Minkowski metric spaces
scientific article; zbMATH DE number 7346561

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    Generalized scalar products in Minkowski metric spaces (English)
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    10 May 2021
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    After a six-page survey of notions from linear algebra, the author proposes a generalization of generalized scalar products and of inward powers by replacing the implicit unit metric vector \((1,1,\ldots, 1)^T\) by an arbitrary vector \(\mathbf{m}\). In this manner one obtaines so-called \textit {metricized} versions of the usual linear algebra notions. Their usefulness is tested on some practical examples, such as least squares. There are no theorems in this paper.
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    inward vector product
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    sum of the elements of a vector
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    scalar products
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    generalized scalar products
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    generalized norms of any order
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    metric vector
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    Minkowski spaces
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    linear systems of equations
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    least squares
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    Fermat surfaces
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    hyperspheres
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