- Theorem
File Pythagorean Proof 3 .PNG thumb 200px right The Pythagorean theorem has at least 370 known proofs ... of Teachers of Mathematics. ref In mathematics , a theorem is a statement logic statement that has been ..., and previously accepted statements, such as axiom s. The derivation of a theorem is often interpreted ... theorem is a logical argument demonstrating that the conclusions are a necessary consequence of the hypotheses ..., without any further assumptions. The concept of a theorem is therefore fundamentally deductive , in contrast .... clxxxii theorem from to investigate ref Although they can be written in a completely ... of the theorem beyond any doubt, and from which arguments a formal symbolic proof can in principle ... mathematicians would express a preference for a proof that not only demonstrates the validity of a theorem ... be sufficient to prove a theorem. Because theorems lie at the core of mathematics, they are also ... for example, as a proof is simplified or better understood, a theorem that was once difficult may become trivial. On the other hand, a deep theorem may be simply stated, but its proof may involve surprising and subtle connections between disparate areas of mathematics. Fermat s Last Theorem is a particularly well known example of such a theorem. Informal accounts of theorems Logically , many theorems are of the form of an indicative conditional if A, then B . Such a theorem does not state that B is always true, only that B must be true if A is true. In this case A is called the hypothesis of the theorem ... A and B can also be denoted the antecedent and consequent . The theorem If n is an even natural ..., a theorem must be expressible as a precise, formal statement. Nevertheless, theorems are usually expressed ... in this way with only four colors. The four color theorem states that such colorings are possible for any ... from the statement of the theorem itself, or show surprising connections between disparate areas of mathematics. ref MathWorld title Deep Theorem urlname DeepTheorem ref A theorem might be simple ... more details
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- Connectedness theorem
Deligne s connectedness theorem Fulton Hansen connectedness theorem Grothendieck s connectedness theorem Zariski s connectedness theorem Zariski s main theorem disambig ... more details
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- Dilation theorem
Dilation theorem may refer to Sz. Nagy s dilation theorem Stinespring factorization theorem Stinespring dilation theorem Naimark s dilation theorem disambig ... more details
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- Brauer's theorem
In mathematics, Brauer s theorem , named for Richard Brauer , may refer to Brauer s theorem on forms Brauer s theorem on induced characters also called the Brauer Tate theorem . Brauer s main theorem s Brauer Suzuki theorem mathdab ... more details
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- Wiener's theorem
Wiener s theorem is any of several theorems named after Norbert Wiener Paley Wiener theorem Wiener s 1 f theorem Wiener s 1 &fnof theorem about functions with absolutely convergent Fourier series. Wiener Ikehara theorem Wiener Khinchin theorem Wiener s tauberian theorem Wiener Wintner theorem mathdab ... more details
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- Recursion theorem
Recursion theorem can refer to The Recursion recursion theorem in set theory Kleene s recursion theorem , also called the fixed point theorem, in computability theory disambig ... more details
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- Bombieri's theorem
Bombieri s theorem may refer to Bombieri Vinogradov theorem , a result in analytic number theory Schneider Lang theorem for Bombieri s theorem on transcendental numbers mathdab ... more details
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- Regularity theorem
In mathematics, regularity theorem may refer to Almgren regularity theorem Elliptic regularity Harish Chandra s regularity theorem Regularity theorem for Lebesgue measure mathdab ... more details
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- Theorem prover
Theorem prover may refer to Automated theorem prover Proof assistant , an interactive theorem prover disambiguation ... more details
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- Pappus's theorem
Pappus& 39 s theorem may refer to Pappus s centroid theorem Pappus s hexagon theorem mathdab ... more details
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- Remainder theorem
PAGENAME may refer to Polynomial remainder theorem Chinese remainder theorem B zout s theorem Disambig ... more details
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- Bing's theorem
Bing s theorem may refer to Bing s recognition theorem Bing metrization theorem See also R. H. Bing mathdab ... more details
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- Morley's theorem
Morley s theorem may refer to Morley s trisector theorem , a theorem related to geometry, discovered by Frank Morley Morley s categoricity theorem , a theorem related to model theory, discovered by Michael D. Morley disambig ko ... more details
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- Density theorem
In mathemtics, density theorem may refer to Density conjecture for Kleinian groups Chebotarev s density theorem in algebraic number theory Jacobson density theorem in algebra Kaplansky density theorem in algebra Lebesgue s density theorem mathdab ... more details
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- Rado's theorem
In mathematics, Rado s theorem or Rad s theorem may refer to Tibor Rad s theorem harmonic functions Tibor Rad s theorem Riemann surfaces Richard Rado s theorem Ramsey theory mathdab fr Th or me de Rado ... more details
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- Limit theorem
Limit theorem may refer to Central limit theorem , in probability theory Edgeworth s limit theorem , in economics disambig Category Mathematical disambiguation ... more details
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- Mason's theorem
disambig Mason s theorem may refer to either of the following The Mason Stothers theorem , a mathematics mathematical theorem about polynomial s Mason s rule ... more details
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- Skorokhod's theorem
Skorokhod s theorem may refer to Skorokhod s embedding theorem Skorokhod s representation theorem disambig Long comment to avoid being listed on short pages ... more details
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- Matsumoto's theorem
In mathematics, Matsumotos s theorem , named for Hideya Matsumoto , may refer to Matsumoto s theorem group theory Matsumoto s theorem K theory mathdab ... more details
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- Hasse's theorem
In mathematics , three different theorems of Helmut Hasse are sometimes called Hasse s theorem The Hasse norm theorem Hasse s theorem on elliptic curves The Hasse Minkowski theorem disambiguation Category Mathematical theorems ... more details
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- Toy theorem
In mathematics , a toy theorem is a simplified version of a more general theorem . For instance, by introducing some simplifying assumptions in a theorem, one obtains a toy theorem. Usually, a toy theorem is used to illustrate the claim of a theorem. It can also be insightful to study proofs of a toy theorem derived from a non trivial theorem. Toy theorems can also have education value. After presenting a theorem with, say, a highly non trivial proof , one can sometimes give some assurance that the theorem really holds, by proving a toy version of the theorem. For instance, a toy theorem of the Brouwer fixed point theorem is obtained by restricting the dimension to one. In this case, the Brouwer fixed point theorem follows almost immediately from the intermediate value theorem . See also toy model lemma mathematics planetmath id 4684 title toy theorem Category Mathematical theorems Category Mathematical terminology eo Luda teoremo ... more details
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- Area theorem
For Hawking s area theorem, see Black hole thermodynamics The laws of black hole mechanics . For the area theorem in conformal mapping theory, see area theorem conformal mapping . Area theorem conformal mapping disambig ... more details
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- Khinchin's theorem
Khinchin s theorem may refer to any of several different results by Aleksandr Khinchin Wiener Khinchin theorem Khinchin s constant Khinchin s theorem on the factorization of distributions Khinchin s theorem on Diophantine approximations disambig ... more details
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- No-go theorem
Unreferenced stub auto yes date December 2009 In theoretical physics , a no go theorem is a theorem that states that a particular situation is not physically possible. Examples of no go theorems Bell s theorem Coleman Mandula theorem Haag Lopuszanski Sohnius theorem Earnshaw s theorem Uncertainty principle Heisenberg uncertainty principle Density functional theory Hohenberg Kohn theorem Weinberg Witten theorem Antidynamo theorem s e.g. Cowling s Theorem No communication theorem No teleportation theorem No cloning theorem No broadcast theorem DEFAULTSORT No Go Theorem Category Quantum field theory Category Supersymmetry Physics stub es Teorema de imposibilidad pt Teorema de impossibilidade sq Teorem pamund sie zh ... more details
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- Gromov's theorem
Gromov s theorem may mean one of a number of results of Mikhail Gromov mathematician Mikhail Gromov One of Gromov s compactness theorems Gromov s compactness theorem geometry in Riemannian geometry Gromov s compactness theorem topology in symplectic topology Gromov s Betti number theorem almost flat manifold Gromov Ruh theorem on almost flat manifolds Gromov s theorem on groups of polynomial growth See also Bishop Gromov inequality Gromov Thurston 2&pi theorem Gromov Thurston 2 pi theorem disambig ... more details
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