- Theorem
for the Italian film Teorema film File Pythagorean Proof 3 .PNG thumb 200px right The Pythagorean theorem ... in 1968 by National Council of Teachers of Mathematics. ref In mathematics , a theorem is a statement ... of a theorem is often interpreted as a proof of the truth of the resulting expression, but different ... rules. The proof of a mathematical theorem is a logical argument demonstrating that the conclusions ... must also be true, without any further assumptions. The concept of a theorem is therefore ..., The terminology of Archimedes , p. clxxxii theorem from to investigate ref Although ... readers of the truth of the statement of the theorem beyond any doubt, and from which arguments a formal ... demonstrates the validity of a theorem, but also explains in some way why it is obviously true. In some cases, a picture alone may be sufficient to prove a theorem. Because theorems lie at the core ... person to person, but also with time 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 .... 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 ... A is called the hypothesis of the theorem note that hypothesis here is something very different from a conjecture and B the conclusion A and B can also be denoted the antecedent and consequent . The theorem ... number . In order to be proven, a theorem must be expressible as a precise, formal statement. Nevertheless ... meet. It can actually be colored in this way with only four colors. The four color theorem states that such colorings ... of mathematics superficially distinct 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 to state and yet be deep. An excellent example is Fermat s Last Theorem ... more details
|
- Dilation theorem
Dilation theorem may refer to Dilation theorem for contraction semigroups Sz. Nagy s dilation theorem Stinespring factorization theorem Stinespring dilation theorem Naimark s dilation theorem disambig ... more details
|
- 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
|
- Theorem prover
Theorem prover may refer to Automated theorem prover Proof assistant , an interactive theorem prover disambiguation ... more details
|
- Remainder theorem
PAGENAME may refer to Polynomial remainder theorem Chinese remainder theorem B zout s theorem Disambig ... more details
|
- Bing's theorem
Bing s theorem may refer to Bing s recognition theorem Bing metrization theorem See also R. H. Bing mathdab ... more details
|
- Naimark theorem
In mathematics, Naimark theorem may refer to Gelfand Naimark theorem Naimark s dilation theorem mathdab ... more details
|
- 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
|
- 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
|
- 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 ... more details
|
- 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
|
- 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
|
- 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
|
- Regularity theorem
In mathematics, regularity theorem may refer to Almgren regularity theorem Elliptic regularity Harish Chandra s regularity theorem Regularity theorem for Lebesgue measure Mathematical disambiguation ... more details
|
- Denjoy theorem
In mathematics, Denjoy s theorem may refer to several theorems proved by Arnaud Denjoy , including Denjoy Luzin theorem Denjoy Luzin Saks theorem Denjoy Young Saks theorem Denjoy Carleman theorem Denjoy s theorem on rotation number Denjoy Koksma inequality Denjoy Wolff theorem mathdab ... more details
|
- 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
|
- Schaefer's theorem
Schaefer s theorem may refer to two unrelated theorems Schaefer s dichotomy theorem , a theorem about the theory of NP completeness by Thomas J. Schaefer Schaefer s fixed point theorem , a theorem about Banach spaces by Helmut Schaefer disamb ... more details
|
- 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
|
- 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
|
- 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
|
- Uniqueness theorem
In mathematics, uniqueness theorem may refer to Alexandrov s uniqueness theorem of three dimensional polyhedra Black hole uniqueness theorem Fundamental theorem of arithmetic , the uniqueness of prime factorization. Holmgren s uniqueness theorem for linear partial differential equations with real analytic coefficients. Picard Lindel f theorem , the uniqueness of solutions to first order differential equations. Thompson uniqueness theorem in finite group theory. Uniqueness theorem for Poisson s equation Uniqueness case in finite group theory See also Uniqueness quantification mathdab ... more details
|
- Bang's theorem
Bang s theorem may refer to The solution to Tarski s plank problem A special case of Zsigmondy s theorem dab ... more details
|
- Palais theorem
In mathematics, Palais theorem , anmed after Richard Palais , may refer to Mostow Palais theorem Morse Palais lemma mathdab ... more details
|
- 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 attribution id 4684 title toy theorem Category Mathematical theorems Category Mathematical terminology eo Luda teoremo ... more details
|
- 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
|
Encyclopedia
top
