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- {{Short description|Measure theory theorems}} ...l motivation for these theorems is fair division, they are in fact general theorems in [[measure theory]]. ...10 KB (1,739 words) - 05:02, 10 March 2024
- ...-conservation properties of biochemical pathways gives rise to a series of theorems or relationships between the control coefficients and the control coefficie ...ficients to the elasticities. The focus of this page are the connectivity theorems. ...11 KB (1,627 words) - 14:30, 20 February 2025
- In mathematics, the '''base change theorems''' relate the [[Direct image functor|direct image]] and the [[Inverse image Such theorems exist in different branches of geometry: for (essentially arbitrary) topolo ...26 KB (4,036 words) - 19:47, 6 July 2023
- ...dified by [[renormalization]] in the full quantum theory. Renormalization theorems are common in theories with a sufficient amount of [[supersymmetry]], usual Nonrenormalization theorems in supersymmetric theories are often consequences of the fact that certain ...8 KB (1,141 words) - 11:01, 26 May 2024
- In [[mathematical analysis]], the '''Szegő limit theorems''' describe the asymptotic behaviour of the [[determinant]]s of large [[Toe {{DEFAULTSORT:Szego limit theorems}} ...4 KB (681 words) - 18:22, 5 January 2025
- ...trol analysis in a nutshell |date=2001 |s2cid=17007756 }}</ref> Equivalent theorems have not been found, for example, in electrical or economic systems. ...ne the control coefficients using enzyme concentration, then the summation theorems are written as: ...13 KB (1,915 words) - 19:29, 3 December 2023
- ...onal analysis]] and [[Hilbert space]] theory, '''vector-valued Hahn–Banach theorems''' are generalizations of the [[Hahn–Banach theorem]]s from linear function {{DEFAULTSORT:Vector-valued Hahn-Banach theorems}} ...9 KB (1,347 words) - 08:53, 3 July 2023
- ...ing finite sets of relations; however, the Max/min CSP/Ones classification theorems give information about the complexity of [[approximation algorithm|approxim == Classification theorems == ...7 KB (1,118 words) - 06:24, 4 August 2022
- '''''Art Gallery Theorems and Algorithms''''' is a mathematical monograph on topics related to the [[ | title = Review of ''Art Gallery Theorems and Algorithms'' ...5 KB (766 words) - 19:44, 24 November 2024
- ...em]] from [[Graph (discrete mathematics)|graphs]] to [[hypergraph]]s. Such theorems were proved by Ofra Kessler,<ref name=":1">{{Cite journal|last1=Aharoni|fir ...'' + ''Y'', ''E'')}} where {{math|1=''Y'' = {1, …, ''m''}.}} The Hall-type theorems do not care about the set {{mvar|Y}} itself - they only care about the neig ...46 KB (7,197 words) - 20:56, 12 October 2024
- '''''Problems and Theorems in Analysis''''' ({{langx|de|Aufgaben und Lehrsätze aus der Analysis|links= ...in [[Berlin]], 1925, delivering the original manuscript of ''Problems and Theorems'' to Springer.<ref>{{cite book |title=The Pólya Picture Album: Encounters o ...10 KB (1,506 words) - 02:54, 22 February 2025
- ...nd the relations).<ref>{{harvnb|Procesi|2007|loc=Ch. 9, § 1.4.}}</ref> The theorems are among the most important results of [[invariant theory]]. ...haracteristic (algebra)|characteristic]]-free invariant theory extends the theorems to a [[field (mathematics)|field]] of arbitrary characteristic.<ref>{{harvn ...3 KB (472 words) - 23:31, 4 February 2025
- {{DISPLAYTITLE:Basic theorems in algebraic ''K''-theory}} {{short description|Four mathematical theorems}} ...4 KB (646 words) - 04:08, 16 September 2024
- {{Short description|Two theorems needed for Quillen's Q-construction in algebraic K-theory}} ...of classifying spaces of categories to be [[homotopy Cartesian]]. The two theorems play central roles in Quillen's [[Q-construction]] in [[algebraic K-theory] ...3 KB (442 words) - 16:26, 6 July 2023
- ...e (economics)|preference ordering]] by a real-valued utility function. The theorems were proved by [[Gerard Debreu]] during the 1950s. Debreu's theorems address the following question: what conditions on the preference relation ...14 KB (2,431 words) - 09:37, 11 March 2024
- ...number#Properties and examples|exist]]. These non-probabilistic existence theorems follow from probabilistic results: (a) a number chosen at random (uniformly ...ral results of this kind, are deduced from [[Doob's martingale convergence theorems|martingale convergence]].<ref>{{citation|last=Durrett|first=Richard|author- ...16 KB (2,190 words) - 16:27, 22 April 2024
Page text matches
- In [[probability theory]], the '''dimension doubling theorems''' are two results about the [[Hausdorff dimension]] of an [[image (mathema == Dimension doubling theorems == ...2 KB (377 words) - 04:11, 16 April 2024
- ...(that is, <math>\Sigma^1_1</math> in the [[analytical hierarchy]]); these theorems are studied as part of [[hyperarithmetical theory]]. ...vely closed set with no computable point (Cooper 1999, p. 134). Basis theorems show that there must be points that are not "too far" from being computable ...4 KB (640 words) - 09:38, 4 July 2024
- {{DISPLAYTITLE:Basic theorems in algebraic ''K''-theory}} {{short description|Four mathematical theorems}} ...4 KB (646 words) - 04:08, 16 September 2024
- ...st=Axel Johannes |last=Malmquist|year1=1913|year2=1920|year3=1941}}. These theorems restrict the forms of first order algebraic [[differential equation]]s whic ==Statement of the theorems== ...3 KB (395 words) - 03:03, 10 May 2024
- ...van Kempen: [http://forumgeom.fau.edu/FG2006volume6/FG200626.pdf ''On Some Theorems of Poncelet and Carnot'']. Forum Geometricorum, Volume 6 (2006), pp. 229–23 [[Category:Theorems about triangles]] ...1 KB (225 words) - 21:51, 14 May 2022
- ...first2=Shigeo|date=1954|title=Note on Kodaira-Spencer's proof of Lefschetz theorems|url=https://projecteuclid.org/euclid.pja/1195526105|journal=Proceedings of ...algebra — in honor of Yasuo Akizuki|publisher=Kinokuniya|chapter=Vanishing theorems for weakly 1-complete manifolds|pages=169–179}} ...3 KB (419 words) - 08:41, 5 March 2023
- ...'' is one of the first [[characterization (mathematics)|characterization]] theorems of [[mathematical statistics]]. It is easy to see that if the random variab [[Category:Theorems in statistics]] ...2 KB (345 words) - 04:37, 14 August 2024
- ==Use in proving Gödel's incompleteness theorems== ...with the [[diagonal lemma]], allow proving both of Gödel's incompleteness theorems shortly. Indeed the main effort of Godel's proofs lied in showing that thes ...8 KB (1,238 words) - 02:39, 27 March 2024
- [[Category:Theorems in real analysis]] [[Category:Theorems in measure theory]] ...1 KB (214 words) - 20:14, 22 December 2022
- It is one of a family of [[Comparison theorem|comparison theorems]] that quantify the assertion that a pair of geodesics emanating from a poi ...t1=Cheeger | first1=Jeff | last2=Ebin | first2=David G. | title=Comparison theorems in Riemannian geometry | publisher=AMS Chelsea Publishing, Providence, RI | ...2 KB (339 words) - 01:27, 12 August 2023
- ...nd the relations).<ref>{{harvnb|Procesi|2007|loc=Ch. 9, § 1.4.}}</ref> The theorems are among the most important results of [[invariant theory]]. ...haracteristic (algebra)|characteristic]]-free invariant theory extends the theorems to a [[field (mathematics)|field]] of arbitrary characteristic.<ref>{{harvn ...3 KB (472 words) - 23:31, 4 February 2025
- [[Category:Theorems in complex analysis]] [[Category:Theorems about polynomials]] ...2 KB (228 words) - 04:30, 16 December 2024
- ...rst-order theories]] of [[classical logic|classical mathematics]] are also theorems of intuitionistic mathematics. It is named after its discoverer, [[Harvey F ...the logic be [[Decidability (logic)|decidable]], allowing the unquantified theorems of the intuitionistic and classical theories to coincide. ...3 KB (399 words) - 21:47, 17 February 2025
- * [[Cartan's theorems A and B]] [[Category:Theorems in complex analysis]] ...2 KB (297 words) - 21:44, 26 October 2024
- ===Space hierarchy theorems=== ...n space ''n'' log ''n'' than in space ''n''. The somewhat weaker analogous theorems for time are the [[time hierarchy theorem]]s. ...6 KB (819 words) - 09:43, 22 October 2023
- ...stated in the form given above by Petrov (in,<ref>{{Cite book|title=Limit theorems of probability theory : sequences of independent random variables|last=Petr [[Category:Probability theorems]] ...1 KB (229 words) - 04:35, 12 May 2024
- ...istributed equally across possible progressions with the same difference. Theorems of the Barban–Davenport–Halberstam type give estimates for the error term, ...057 | last=Hooley | first=C. | author-link=Christopher Hooley | chapter=On theorems of Barban-Davenport-Halberstam type | pages=75–108 | editor1-last=Bennett | ...2 KB (361 words) - 07:17, 18 December 2024
- ...[[functional analysis]], the '''Krein-Smulian theorem''' can refer to two theorems relating the closed [[convex hull]] and [[Compact space|compactness]] in th Both of the following theorems are referred to as the Krein-Smulian Theorem. ...3 KB (361 words) - 16:47, 22 July 2024
- {{Short description|Two theorems needed for Quillen's Q-construction in algebraic K-theory}} ...of classifying spaces of categories to be [[homotopy Cartesian]]. The two theorems play central roles in Quillen's [[Q-construction]] in [[algebraic K-theory] ...3 KB (442 words) - 16:26, 6 July 2023
- [[Category:Probability theorems]] [[Category:Theorems in geometry]] ...2 KB (269 words) - 04:03, 29 January 2023