Andrey Nikolaevich Kolmogorov (April 25, 1903 - October 20, 1987) was a Soviet mathematician born in Tambov, Russia, who died in Moscow. He is most renowned for establishing the axiomatic foundations of probability theory: his landmark 1933 publication, Foundations of the Theory of Probability, laid the modern axiomatic foundations of the field and secured his position as its preeminent authority. He also made substantial advances in topology, intuitionistic logic, the study of turbulence, classical mechanics, functional analysis, and algorithmic information theory, developing what became known as Kolmogorov complexity theory and co-creating the Kolmogorov-Arnold-Moser theorem in classical mechanics. Numerous mathematical concepts, equations, and theorems bear his name, reflecting the breadth of his contributions to twentieth-century mathematics.
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Andrey Kolmogorov
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Source Avrami Equation (Wikipedia)
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Source Kolmogorov Extension Theorem (Wikipedia)
Source Kolmogorov-Arnold Representation Theorem (Wikipedia)
Source Kolmogorov's three-series theorem (Wikipedia)
Source Law of large numbers, Wikipedia
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Source Wikidata: Andrey Kolmogorov
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1. Andrey Kolmogorov (Wikipedia)
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He also gave fundamental contributions to the mathematics of topology, intuitionistic logic, turbulence, classical mechanics, functional analysis, algorithmic information theory and computational complexity.
In Branch: Probability and Statistics, Lead paragraph
Andrey Nikolaevich Kolmogorov (Russian: Андре́й Никола́евич Колмого́ров, IPA: [ɐnˈdrʲej nʲɪkɐˈlajɪvʲɪtɕ kəlmɐˈɡorəf] , 25 April 1903-20 October 1987) was a Soviet mathematician who played a central role in the creation of modern probability theory.
In Branch: Topology, Lead paragraph
He also gave fundamental contributions to the mathematics of topology, intuitionistic logic, turbulence, classical mechanics, functional analysis, algorithmic information theory and computational complexity.
In Branch: Functional Analysis, Lead paragraph
He also gave fundamental contributions to the mathematics of topology, intuitionistic logic, turbulence, classical mechanics, functional analysis, algorithmic information theory and computational complexity.
In Branch: Information Theory, Lead paragraph
He also gave fundamental contributions to the mathematics of topology, intuitionistic logic, turbulence, classical mechanics, functional analysis, algorithmic information theory and computational complexity.
In Branch: Computational Complexity Theory, Lead paragraph
He also gave fundamental contributions to the mathematics of topology, intuitionistic logic, turbulence, classical mechanics, functional analysis, algorithmic information theory and computational complexity.
View the SourceWikidata: Andrey Kolmogorov
Wikidata Q153224, class allow-list match (w-wdresolver-0926)View the Source Avrami Equation (Wikipedia)
Attributed Works: Avrami Equation, LeadQuote, Attributed Works: Avrami Equation, Lead
The equation was first derived by Johnson, Mehl, Avrami and Kolmogorov (in Russian)
View the Source Kolmogorov-Arnold Representation Theorem (Wikipedia)
Proofs Credited: Kolmogorov-Arnold Representation Theorem, LeadQuote, Proofs Credited: Kolmogorov-Arnold Representation Theorem, Lead
The works of Vladimir Arnold and Andrey Kolmogorov 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.
View the Source Kolmogorov Extension Theorem (Wikipedia)
Wikimedia FoundationProofs Credited: Kolmogorov Extension Theorem, Lead paragraphQuote, Proofs Credited: Kolmogorov Extension Theorem, Lead paragraph
It is credited to the English mathematician Percy John Daniell and the Russian mathematician Andrey Nikolaevich Kolmogorov.
View the Source Kolmogorov's three-series theorem (Wikipedia)
Proofs Credited: Kolmogorov's Three-Series Theorem, Lead sectionQuote, Proofs Credited: Kolmogorov's Three-Series Theorem, Lead section
Kolmogorov's three-series theorem, named after Andrey Kolmogorov
View the Source Law of large numbers, Wikipedia
Proofs Credited: Strong Law of Large Numbers, Lead sectionQuote, Proofs Credited: Strong Law of Large Numbers, Lead section
variables having an expected value (like the weak law). This was proved by Kolmogorov in 1930. It can also apply in other cases. Kolmogorov
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