Inequality
81Discourse on Inequality — Frontispiece and title page of an edition of Rousseau s Discourse on Inequality (1754), published by Marc Michel Rey in 1755 in Holland. Discourse on the Origin and Basis of Inequality Among Men (Discours sur l origine et les fondements de l… …
82Kolmogorov's inequality — In probability theory, Kolmogorov s inequality is a so called maximal inequality that gives a bound on the probability that the partial sums of a finite collection of independent random variables exceed some specified bound. The inequality is… …
83Loomis-Whitney inequality — In mathematics, the Loomis Whitney inequality is a result in geometry, which in its simplest form, allows one to estimate the size of a d dimensional set by the sizes of its ( d ndash; 1) dimensional projections. The inequality has applications… …
84Gender inequality — refers to the obvious or hidden disparities among individuals based on performance of gender (gender can separate from biological sex, see Sex/gender distinction). Gender has been construed as socially constructed through social interactions as… …
85Healthcare inequality — (also called health disparities in some countries) refers to the disparities in the access to adequate healthcare between different gender, race, and socioeconomic groups. In the United States, women are more likely to have access to adequate… …
86Bernoulli's inequality — In real analysis, Bernoulli s inequality is an inequality that approximates exponentiations of 1 + x .The inequality states that:(1 + x)^r geq 1 + rx!for every integer r ge; 0 and every real number x > −1. If the exponent r is even, then the… …
87Gibbs' inequality — In information theory, Gibbs inequality is a statement about the mathematical entropy of a discrete probability distribution. Several other bounds on the entropy of probability distributions are derived from Gibbs inequality, including Fano s… …
88Schur's inequality — In mathematics, Schur s inequality, named after Issai Schur,establishes that for all non negative real numbers x , y , z and a positive number t ,:x^t (x y)(x z) + y^t (y z)(y x) + z^t (z x)(z y) ge 0with equality if and only if x = y = z or two… …
89Poincaré inequality — In mathematics, the Poincaré inequality is a result in the theory of Sobolev spaces, named after the French mathematician Henri Poincaré. The inequality allows one to obtain bounds on a function using bounds on its derivatives and the geometry of …
90Bogomolov–Miyaoka–Yau inequality — In mathematics, the Bogomolov–Miyaoka–Yau inequality is the inequality between Chern numbers of compact complex surfaces of general type. Its major interest is the way it restricts the possible topological types of the underlying real 4 manifold …
