Search for "Theorems" in article titles:

1. Jury Theorems: Jury theorems are mathematical theorems about the ability of collectives to make correct decisions. Several jury theorems carry the optimistic message that, in suitable circumstances, “crowds are wise”: many individuals together (using, for instance, majority voting) tend to make good ... (Philosophy) [100%] 2022-04-12
2. Gödel’s Incompleteness Theorems: Gödel’s two incompleteness theorems are among the most important results in modern logic, and have deep implications for various issues. They concern the limits of provability in formal axiomatic theories. (Philosophy) [81%] 2022-04-09
3. No Free Lunch Theorems: No Free Lunch Theorems for Search is the title of a 1995 paper of David H. Wolpert and William G. [70%] 2023-02-17 [Mathematics]
4. No Free Lunch Theorems: No Free Lunch Theorems for Search is the title of a 1995 paper of David H. Wolpert and William G. [70%] 2024-01-26 [Mathematics]
5. Art Gallery Theorems and Algorithms: Art Gallery Theorems and Algorithms is a mathematical monograph on topics related to the art gallery problem, on finding positions for guards within a polygonal museum floorplan so that all points of the museum are visible to at least one ... [63%] 2023-12-28 [Computational geometry] [Polygons]...
6. The Method of Mechanical Theorems: The Method of Mechanical Theorems (Greek: Περὶ μηχανικῶν θεωρημάτων πρὸς Ἐρατοσθένη ἔφοδος), also referred to as The Method, is one of the major surviving works of the ancient Greek polymath Archimedes. The Method takes the form of a letter from Archimedes to Eratosthenes, the chief librarian ... (Mathematical treatise by Archimedes) [63%] 2024-06-13 [History of calculus] [Archimedes]...
7. Problems and Theorems in Analysis: Problems and Theorems in Analysis (German: Aufgaben und Lehrsätze aus der Analysis) is a two-volume problem book in analysis by George Pólya and Gábor Szegő. The two volumes are titled (I) Series. [63%] 2024-08-17 [Problem books in mathematics] [1925 non-fiction books]...
8. Glueing theorems: Theorems that establish the existence of analytic functions subject to prescribed relations on the boundary of a domain. Lavrent'ev's glueing theorem : Given any analytic function $ x _ {1} = \phi ( x) $ on $ [ - 1 , 1 ] $ with $ \phi ( \pm 1 ) = \pm ... (Mathematics) [100%] 2023-09-16
9. Sylow theorems: Three theorems on maximal $p$-subgroups in a finite group, proved by L. Sylow and playing a major role in the theory of finite groups. (Mathematics) [100%] 2023-08-22 [Group theory and generalizations]
10. Fredholm theorems: for integral equations The homogeneous equation $$ \tag{1 } \phi ( x) - \lambda \int\limits _ { a } ^ { b } K ( x, s) \phi ( s) ds = 0 $$ and its transposed equation $$ \tag{2 } \psi ( x) - \lambda \int\limits _ { a } ^ { b } K ( s, x ... (Mathematics) [100%] 2023-10-18
11. Torelli theorems: Theorems stating that the Hodge structure (period matrix) in the cohomology spaces $ H ^ {*} ( X, \mathbf C ) $ of an algebraic or Kähler variety $ X $ completely characterizes the polarized Jacobi variety of $ X $. The classical Torelli theorem relates to the case of ... (Mathematics) [100%] 2023-10-17
12. Bertini theorems: Two theorems concerning the properties of linear systems on algebraic varieties, due to E. Bertini. (Mathematics) [100%] 2023-10-17
13. Imbedding theorems: Theorems concerning a kind of problems involved in the study of inequalities between the norms of the same function in different classes (normed spaces). One is usually concerned with two classes $ \mathfrak M $ and $ \mathfrak M _ {1} $, where $ \mathfrak ... (Mathematics) [100%] 2023-10-17
14. Limit theorems: in probability theory A general name for a number of theorems in probability theory that give conditions for the appearance of some regularity as the result of the action of a large number of random sources. The first limit theorems ... (Mathematics) [100%] 2023-12-18 [Limit theorems]
15. Fredholm theorems: for integral equations The homogeneous equation $$ \tag{1 } \phi ( x) - \lambda \int\limits _ { a } ^ { b } K ( x, s) \phi ( s) ds = 0 $$ and its transposed equation $$ \tag{2 } \psi ( x) - \lambda \int\limits _ { a } ^ { b } K ( s, x ... (Mathematics) [100%] 2024-01-26
16. Torelli theorems: Theorems stating that the Hodge structure (period matrix) in the cohomology spaces $ H ^ {*} ( X, \mathbf C ) $ of an algebraic or Kähler variety $ X $ completely characterizes the polarized Jacobi variety of $ X $. The classical Torelli theorem relates to the case of ... (Mathematics) [100%] 2024-01-26
17. Bertini theorems: Two theorems concerning the properties of linear systems on algebraic varieties, due to E. Bertini. (Mathematics) [100%] 2024-01-26
18. Imbedding theorems: Theorems concerning a kind of problems involved in the study of inequalities between the norms of the same function in different classes (normed spaces). One is usually concerned with two classes $ \mathfrak M $ and $ \mathfrak M _ {1} $, where $ \mathfrak ... (Mathematics) [100%] 2024-01-26
19. Limit theorems: in probability theory A general name for a number of theorems in probability theory that give conditions for the appearance of some regularity as the result of the action of a large number of random sources. The first limit theorems ... (Mathematics) [100%] 2024-01-26 [Limit theorems]
20. Liouville theorems: If an entire function $ f (z) $ of the complex variable $ z = ( z _ {1}, \dots, z _ {n} ) $ is bounded, that is, $$ | f (z) | \leq M < + \infty ,\ z \in \mathbf C ^ {n} , $$ then $ f (z) $ is a constant. This proposition ... (Mathematics) [100%] 2024-01-26
21. Covering theorems: Theorems for various classes of regular functions that establish certain properties of sets that are entirely contained in the range of values of each function of the corresponding class. Below some basic covering theorems are presented (see also ). (Mathematics) [100%] 2024-01-26
22. Density theorems: The general name for theorems that give upper bounds for the number $N(\sigma,T,\chi)$ of zeros $\rho=\beta+i\gamma$ of Dirichlet $L$-functions $$L(s,\chi)=\sum_{n=1}^\infty\frac{\chi(n,k)}{n^s},$$ where ... (Mathematics) [100%] 2024-01-26 [Number theory]
23. Sylow theorems: Three theorems on maximal $p$-subgroups in a finite group, proved by L. Sylow and playing a major role in the theory of finite groups. (Mathematics) [100%] 2024-01-26 [Group theory and generalizations]
24. Glueing theorems: Theorems that establish the existence of analytic functions subject to prescribed relations on the boundary of a domain. Lavrent'ev's glueing theorem : Given any analytic function $ x _ {1} = \phi ( x) $ on $ [ - 1 , 1 ] $ with $ \phi ( \pm 1 ) = \pm ... (Mathematics) [100%] 2024-01-26
25. Extension theorems: Theorems on the continuation (extension) of functions from one set to a larger set in such a way that the extended function satisfies certain definite properties. Problems on the analytic continuation of functions are, first of all, related to extension ... (Mathematics) [100%] 2024-01-26
26. Finiteness theorems: A finiteness theorem in algebraic geometry is an assertion about the various objects in algebraic geometry (cohomology spaces, algebraic varieties, schemes, fibrations, etc.), stating that these objects depend on finitely many parameters or even form finite sets. The first circle ... (Mathematics) [100%] 2024-01-26
27. Nevanlinna theorems: Two fundamental theorems, proved by R. Nevanlinna (see , ), that are basic for the theory of value distribution of meromorphic functions (see Value-distribution theory). (Mathematics) [100%] 2024-01-26
28. Rationality theorems: for algebraic groups Statements about the rationality (unirationality) or non-rationality of various algebraic group varieties (cf. Rational variety, Unirational variety). (Mathematics) [100%] 2024-01-26
29. Characterization theorems: in probability theory and mathematical statistics Theorems that establish a connection between the type of the distribution of random variables or random vectors and certain general properties of functions in them. Let $ X $ be a three-dimensional random vector such ... (Mathematics) [100%] 2024-01-26
30. Grötzsch theorems: Various results on conformal and quasi-conformal mappings obtained by H. Grötzsch. (Mathematics) [100%] 2024-01-26
31. Tauberian theorems: theorems of Tauberian type Theorems establishing conditions which determine the set of series (or sequences) on which for two given summation methods $ A $ and $ B $ the inclusion $ A \subset B $ holds. Most frequently in the theory of summation, the case ... (Mathematics) [100%] 2024-01-26
32. Oka theorems: Theorems on the classical problems in the theory of functions of several complex variables, first proved by K. Oka between 1930 and 1950 (see ). (Mathematics) [100%] 2024-01-26
33. Landau theorems: Theorems for functions regular in a disc, which establish some connections between geometrical properties of the conformal mapping that is induced by these functions and the initial coefficients of the power series that represent them. In 1904 E. (Mathematics) [100%] 2024-01-26
34. Selection theorems: A group of theorems in combinatorial theory related to the selection of elements from a set which in some way correspond to a family of subsets of that set. Selection theorems are commonly employed as existence theorems in solving various ... (Mathematics) [100%] 2024-01-26
35. Distortion theorems: under conformal mapping of planar domains Theorems characterizing the distortion of line elements at a given point of a domain, as well as the distortion of the domain and its subsets, and the distortion of the boundary of the domain ... (Mathematics) [100%] 2024-01-26
36. Isomorphism theorems: In mathematics, specifically abstract algebra, the isomorphism theorems (also known as Noether's isomorphism theorems) are theorems that describe the relationship between quotients, homomorphisms, and subobjects. Versions of the theorems exist for groups, rings, vector spaces, modules, Lie algebras, and ... (Group of mathematical theorems) [100%] 2024-01-26 [Isomorphism theorems]
37. Schur theorems: Theorems for finding a solution to the coefficient problem for bounded analytic functions. They were obtained by I. (Mathematics) [100%] 2024-01-26