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1. Morse inequalities: Inequalities following from Morse theory and relating the number of critical points (cf. Critical point) of a Morse function on a manifold to its homology invariants. (Mathematics) [100%] 2023-10-13
2. Bell inequalities: This page is deficient and requires revision. Please see Talk:Bell inequalities for further comments. (Mathematics) [100%] 2023-12-31
3. Bonferroni inequalities: A solution of the classical matching problem and the counting inclusion-and-exclusion method (cf. also Inclusion-and-exclusion principle) can be given in a unified manner by the following set of inequalities. (Mathematics) [100%] 2023-12-31
4. Correlation inequalities: Correlation between variables in multivariate statistics (cf. also Multi-dimensional statistical analysis) has motivated classes of inequalities on subsets of a base set $ S $ that are referred to as correlation inequalities. (Mathematics) [100%] 2023-12-09
5. Variational inequalities: The variational formulations (also called weak formulations) of many non-linear boundary value problems result in variational inequalities rather than variational equations. Analogously to partial differential equations, variational inequalities can be of elliptic, parabolic, hyperbolic, etc. (Mathematics) [100%] 2023-12-31
6. Bernstein inequalities (probability theory): In probability theory, Bernstein inequalities give bounds on the probability that the sum of random variables deviates from its mean. In the simplest case, let X1, ..., Xn be independent Bernoulli random variables taking values +1 and −1 with probability 1 ... (Probability theory) [100%] 2023-12-31 [Probabilistic inequalities]
7. Quantum inequalities: Quantum inequalities are local constraints on the magnitude and extent of distributions of negative energy density in space-time. Initially conceived to clear up a long-standing problem in quantum field theory (namely, the potential for unconstrained negative energy density ... (Constraints on energy distribution in spacetime in quantum mechanics) [100%] 2023-12-31 [Quantum field theory]
8. John-Nirenberg inequalities: Let $D = \{ z \in \mathbf{C} : | z | < 1 \}$ be the unit disc and let, for $1 \leq p < \infty$, $H ^ { p }$ denote the space of holomorphic functions on $D$ (cf. also Analytic function) for which the supremum \begin{equation*} \| f ... (Mathematics) [81%] 2024-01-01
9. List of inequalities: This article lists Wikipedia articles about named mathematical inequalities. (None) [81%] 2023-12-31 [Inequalities] [Mathematics-related lists]...
10. Bonferroni-type inequalities: The Bonferroni inequalities may become impractical as a result of the large number of terms in $ S _ {k} $( for notation, see Bonferroni inequalities). In order to overcome this difficulty, two kinds of modification can be performed: i) one can ... (Mathematics) [81%] 2023-12-31
11. Lieb-Thirring inequalities: Inequalities concerning the negative eigenvalues of the Schrödinger operator (cf. also Schrödinger equation) $$ \begin{equation*} H = - \Delta + V ( x ) \end{equation*} $$ on $L ^ { 2 } ( \mathbf{R} ^ { n } )$, $n \geq 1$. (Mathematics) [81%] 2023-12-31
12. Inequalities in information theory: Inequalities are very important in the study of information theory. There are a number of different contexts in which these inequalities appear. (Concept in information theory) [70%] 2023-12-31 [Inequalities] [Entropy and information]...
13. Chebyshev–Markov–Stieltjes inequalities: In mathematical analysis, the Chebyshev–Markov–Stieltjes inequalities are inequalities related to the problem of moments that were formulated in the 1880s by Pafnuty Chebyshev and proved independently by Andrey Markov and (somewhat later) by Thomas Jan Stieltjes. Informally, they ... (Mathematical theorem) [70%] 2023-12-31 [Theorems in analysis] [Inequalities]...
14. Markov-Bernstein-type inequalities: Bernstein's inequality asserts that $$ \max _ {x \in [ - \pi, \pi ] } {\left | {Q ^ \prime ( x ) } \right | } \leq n \max _ {x \in [ - \pi, \pi ] } {\left | {Q ( x ) } \right | } $$ for every trigonometric polynomial $ Q $ of degree at most $ n $ with complex ... (Mathematics) [70%] 2023-12-31
15. Inequalities in information theory: Inequalities are very important in the study of information theory. There are a number of different contexts in which these inequalities appear. (Concept in information theory) [70%] 2023-12-28 [Inequalities] [Entropy and information]...
16. Matrix and Operator Trace Inequalities: In mathematics, there are many kinds of inequalities connected with matrices and linear operators on Hilbert spaces. This article reviews some of the most important operator inequalities connected with traces of matrices. [63%] 2021-12-21
17. HM-GM-AM-QM inequalities: In mathematics, the HM-GM-AM-QM inequalities state the relationship between the harmonic mean, geometric mean, arithmetic mean, and quadratic mean (aka root mean square or RMS for short). Suppose that \displaystyle{ x_1, x_2, \ldots, x_n }[/math] are positive ... (Mathematical relationships) [63%] 2023-12-31 [Inequalities]
18. Centre of Research in Theories and Practices that Overcome Inequalities: The Centre of Research in Theories and Practices that Overcome Inequalities (CREA) was founded in 1991 by a current professor of Sociology at the University of Barcelona, Doctor Honoris Causa of West University of Timișoara and also a recognized researcher ... [44%] 2024-06-25 [Research institutes in Spain] [Social sciences organizations]...