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1Theorem on friends and strangers — All the 78 possible friends strangers graphs with 6 nodes. For each graph the red/blue nodesshows a sample triplet of mutual friends/strangers.The friendship theorem is a mathematical theorem in an area of mathematics called Ramsey… …
2Noether's theorem — This article discusses Emmy Noether s first theorem, which derives conserved quantities from symmetries. For her related theorem on infinite dimensional Lie algebras and differential equations, see Noether s second theorem. For her unrelated… …
3Central limit theorem — This figure demonstrates the central limit theorem. The sample means are generated using a random number generator, which draws numbers between 1 and 100 from a uniform probability distribution. It illustrates that increasing sample sizes result… …
4Theorem — The Pythagorean theorem has at least 370 known proofs[1] In mathematics, a theorem is a statement that has been proven on the basis of previously established statements, such as other theorems, and previously accepted statements …
5Ramsey's theorem — This article goes into technical details quite quickly. For a slightly gentler introduction see Ramsey theory. In combinatorics, Ramsey s theorem states that in any colouring of the edges of a sufficiently large complete graph (that is, a simple… …
6Extreme value theorem — This article is about continuous functions in analysis. For statistical theorems about the largest observation in a sequence of random variables, see extreme value theory. A continuous function ƒ(x) on the closed interval [a,b] showing the… …
7Proof sketch for Gödel's first incompleteness theorem — This article gives a sketch of a proof of Gödel s first incompleteness theorem. This theorem applies to any formal theory that satisfies certain technical hypotheses which are discussed as needed during the sketch. We will assume for the… …
8Darboux's theorem — This article is about Darboux s theorem in symplectic geometry. For Darboux s theorem related to the intermediate value theorem, see Darboux s theorem (analysis). Darboux s theorem is a theorem in the mathematical field of differential geometry… …
9Wold's theorem — This article is about the theorem as used in time series analysis. For an abstract mathematical statement, see Wold decomposition. In statistics, Wold s decomposition or the Wold representation theorem (not to be confused with the Wold theorem… …
10Theorem of the cube — In mathematics, the theorem of the cube is a foundational result in the algebraic geometry of a complete variety. It was a principle discovered, in the context of linear equivalence, by the Italian school of algebraic geometry. The specific… …
