monotonicity theorem
1Monotonicity criterion — This article is about a voting system criterion. See monotonic function for a mathematical notion. The monotonicity criterion is a voting system criterion used to analyze both single and multiple winner voting systems. A voting system is… …
2Godunov's theorem — Godunov s theorem, also known as Godunov s order barrier theorem, is a mathematical theorem important in the development of the theory of high resolution schemes for the numerical solution of partial differential equations.Professor Sergei K.… …
3Arrow's impossibility theorem — In social choice theory, Arrow’s impossibility theorem, the General Possibility Theorem, or Arrow’s paradox, states that, when voters have three or more distinct alternatives (options), no voting system can convert the ranked preferences of… …
4Dominated convergence theorem — In measure theory, Lebesgue s dominated convergence theorem provides sufficient conditions under which two limit processes commute, namely Lebesgue integration and almost everywhere convergence of a sequence of functions. The dominated… …
5Monotone convergence theorem — In mathematics, there are several theorems dubbed monotone convergence; here we present some major examples. Contents 1 Convergence of a monotone sequence of real numbers 1.1 Theorem 1.2 Proof 1.3 …
6Schwartz kernel theorem — In mathematics, the Schwartz kernel theorem is a foundational result in the theory of generalized functions, published by Laurent Schwartz in 1952. It states, in broad terms, that the generalized functions introduced by Schwartz himself (Schwartz …
7Mean value theorem — For the theorem in harmonic function theory, see Harmonic function#Mean value property. Topics in Calculus Fundamental theorem Limits of functions Continuity Mean value theorem Differential calculus  Derivative Change of variables …
8Central 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… …
9Fatou–Lebesgue theorem — In mathematics, the Fatou–Lebesgue theorem establishes a chain of inequalities relating the integrals (in the sense of Lebesgue) of the limit inferior and the limit superior of a sequence of functions to the limit inferior and the limit superior… …
10Dini's theorem — In the mathematical field of analysis, Dini s theorem states that if X is a compact topological space, and { fn } is a monotonically increasing sequence (meaning fn( x ) ≤ fn+1( x ) for all n and x) of continuous real valued functions on X which… …
