This is a list of notable theorems. Lists of theorems and similar statements include: List of algebras List of algorithms List of axioms List of conjectures...
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the fundamental theorem of arithmetic is basic to what would now be called number theory. Some of these are classification theorems of objects which are...
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Gödel's incompleteness theorems are two theorems of mathematical logic that are concerned with the limits of provability in formal axiomatic theories...
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called a theorem is a proved result that is not an immediate consequence of other known theorems. Moreover, many authors qualify as theorems only the...
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mathematical theorems by computer programs. Automated reasoning over mathematical proof was a major motivating factor for the development of computer science...
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Sylow theorems Transcendence of e and π (as corollaries of Lindemann–Weierstrass) Tychonoff's theorem (to do) Ultrafilter lemma Ultraparallel theorem Urysohn's...
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This is a list of misnamed theorems in mathematics. It includes theorems (and lemmas, corollaries, conjectures, laws, and perhaps even the odd object)...
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is a list of lemmas (or, "lemmata", i.e. minor theorems, or sometimes intermediate technical results factored out of proofs). See also list of axioms...
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fact, a special case of the unique factorization theorem in commutative Möbius monoids. Integer factorization List of theorems called fundamental Prime...
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mathematics, specifically in the field of finite group theory, the Sylow theorems are a collection of theorems named after the Norwegian mathematician...
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Proof assistant (redirect from List of interactive theorem provers)
been keeping a ranking of proof assistants by the amount of formalized theorems out of a list of 100 well-known theorems. As of September 2023, only five...
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List of representations of e List of inequalities List of lemmas List of mathematical identities List of mathematical proofs List of theorems List of...
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There are two fundamental theorems of welfare economics. The first states that in economic equilibrium, a set of complete markets, with complete information...
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_{a}^{b}g(x)\,dx.} There are various slightly different theorems called the second mean value theorem for definite integrals. A commonly found version is...
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search for the term, in double quotes as of September 2022[update]. The conjecture terminology may persist: theorems often enough may still be referred to...
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works of the 17th-century mathematician Pierre de Fermat engendered many theorems. Fermat's theorem may refer to one of the following theorems: Fermat's...
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Probability axioms (redirect from Axioms of probability)
Probability Theory. New York: Macmillan. pp. 13–28. Formal definition of probability in the Mizar system, and the list of theorems formally proved about it....
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There are a number of generalisations to Banach fixed-point theorem and further; these are applied in PDE theory. See fixed-point theorems in infinite-dimensional...
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Borel set (redirect from Borel system of sets)
set", Encyclopedia of Mathematics, EMS Press, 2001 [1994] Formal definition of Borel Sets in the Mizar system, and the list of theorems Archived 2020-06-01...
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loge(x). In analytic number theory, Mertens' theorems are three 1874 results related to the density of prime numbers proved by Franz Mertens. In the...
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Several theorems are named after Karl Weierstrass. These include: The Weierstrass approximation theorem, of which one well known generalization is the...
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theorem may refer to: Any of many theorems related to the circle; often taught as a group in GCSE mathematics. These include: Inscribed angle theorem...
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by others and credited as theorems of Fermat (for example, Fermat's theorem on sums of two squares), Fermat's Last Theorem resisted proof, leading to...
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The fundamental theorem of calculus is a theorem that links the concept of differentiating a function (calculating its slopes, or rate of change at each...
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of the theorem. Euclid offered a proof published in his work Elements (Book IX, Proposition 20), which is paraphrased here. Consider any finite list of...
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Metrizable space (redirect from Metrization theorems)
by d {\displaystyle d} is τ . {\displaystyle \tau .} Metrization theorems are theorems that give sufficient conditions for a topological space to be metrizable...
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statements that appear to contradict themselves List of scientific laws named after people List of theorems Scientific phenomena named after people Campbell...
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the Isabelle theorem prover. Other proofs are also known. Gödel's incompleteness theorems Original proof of Gödel's completeness theorem Batzoglou, Serafim...
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of Bath mathematics course Pérez-Garrido, A. (2024-05-01). "Recovering seldom-used theorems of vector calculus and their application to problems of electromagnetism"...
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singularity theorems (after Roger Penrose and Stephen Hawking) are a set of results in general relativity that attempt to answer the question of when gravitation...
22 KB (3,133 words) - 09:11, 30 November 2024