Arithmetical distributions and the sequential extension of binary relations (Q1974380)
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scientific article; zbMATH DE number 1439605
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Arithmetical distributions and the sequential extension of binary relations |
scientific article; zbMATH DE number 1439605 |
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Arithmetical distributions and the sequential extension of binary relations (English)
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21 February 2001
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The author suggests an iterative process of extending the set of distributions, at each step of which the algebraic and topological structures are introduced simultaneously, which ensures their compatibility. As a result, he obtains a sufficiently broad class of arithmetical distributions with continuous addition, multiplication and differentiation; the facts established here can be used for the study of many nonlinear problems of mathematical physics.
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arithmetical distributions
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sequential extension of binary relations
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iterative process
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nonlinear problems
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