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- Kolmogorov–Arnold_representation_theorem abstract "In real analysis and approximation theory, the Kolmogorov–Arnold representation theorem states that every multivariable continuous function can be represented as a superposition of continuous functions of two variables. It solved a version of Hilbert's thirteenth problem.The works of Kolmogorov and Arnold established that if f is a multivariate continuous function, then f can be written as a finite composition of continuous functions of a single variable and the binary operation of addition.For example: f(x,y) = xy can be written as f(x,y) = exp(log x + log y) f(x,y,z) = xy / x can be written as f(x, y, z) = exp(exp(log y + log log x) + (−log z))In a sense, they showed that the only true multivariate function is the sum, since every other function can be written using univariate functions and summing.".
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- Kolmogorov–Arnold_representation_theorem wikiPageRevisionID "680726418".
- Kolmogorov–Arnold_representation_theorem wikiPageWikiLink Addition.
- Kolmogorov–Arnold_representation_theorem wikiPageWikiLink Andrey_Kolmogorov.
- Kolmogorov–Arnold_representation_theorem wikiPageWikiLink Approximation_theory.
- Kolmogorov–Arnold_representation_theorem wikiPageWikiLink Binary_operation.
- Kolmogorov–Arnold_representation_theorem wikiPageWikiLink Category:Approximation_theory.
- Kolmogorov–Arnold_representation_theorem wikiPageWikiLink Category:Functions_and_mappings.
- Kolmogorov–Arnold_representation_theorem wikiPageWikiLink Category:Real_analysis.
- Kolmogorov–Arnold_representation_theorem wikiPageWikiLink Category:Theorems.
- Kolmogorov–Arnold_representation_theorem wikiPageWikiLink Continuity_(mathematics).
- Kolmogorov–Arnold_representation_theorem wikiPageWikiLink Function_(mathematics).
- Kolmogorov–Arnold_representation_theorem wikiPageWikiLink Function_composition.
- Kolmogorov–Arnold_representation_theorem wikiPageWikiLink Hilberts_thirteenth_problem.
- Kolmogorov–Arnold_representation_theorem wikiPageWikiLink List_of_continuity-related_mathematical_topics.
- Kolmogorov–Arnold_representation_theorem wikiPageWikiLink Multivariable_calculus.
- Kolmogorov–Arnold_representation_theorem wikiPageWikiLink Real_analysis.
- Kolmogorov–Arnold_representation_theorem wikiPageWikiLink Univariate.
- Kolmogorov–Arnold_representation_theorem wikiPageWikiLink Vladimir_Arnold.
- Kolmogorov–Arnold_representation_theorem wikiPageWikiLinkText "Kolmogorov–Arnold representation theorem".
- Kolmogorov–Arnold_representation_theorem wikiPageWikiLinkText "Kolmogorov–Arnold theorem".
- Kolmogorov–Arnold_representation_theorem hasPhotoCollection Kolmogorov–Arnold_representation_theorem.
- Kolmogorov–Arnold_representation_theorem wikiPageUsesTemplate Template:Mathanalysis-stub.
- Kolmogorov–Arnold_representation_theorem wikiPageUsesTemplate Template:Reflist.
- Kolmogorov–Arnold_representation_theorem subject Category:Approximation_theory.
- Kolmogorov–Arnold_representation_theorem subject Category:Functions_and_mappings.
- Kolmogorov–Arnold_representation_theorem subject Category:Real_analysis.
- Kolmogorov–Arnold_representation_theorem subject Category:Theorems.
- Kolmogorov–Arnold_representation_theorem comment "In real analysis and approximation theory, the Kolmogorov–Arnold representation theorem states that every multivariable continuous function can be represented as a superposition of continuous functions of two variables.".
- Kolmogorov–Arnold_representation_theorem label "Kolmogorov–Arnold representation theorem".
- Kolmogorov–Arnold_representation_theorem wasDerivedFrom Kolmogorov–Arnold_representation_theorem?oldid=680726418.
- Kolmogorov–Arnold_representation_theorem isPrimaryTopicOf Kolmogorov–Arnold_representation_theorem.