Inequality
101Milman's reverse Brunn–Minkowski inequality — In mathematics, Milman s reverse Brunn Minkowski inequality is a result due to Vitali Milman that provides a reverse inequality to the famous Brunn Minkowski inequality for convex bodies in n dimensional Euclidean space Rn. At first sight, such a …
102Azuma's inequality — In probability theory, the Azuma Hoeffding inequality (named after Kazuoki Azuma and Wassily Hoeffding) gives a concentration result for the values of martingales that have bounded differences.Suppose { X k : k = 0, 1, 2, 3, ... } is a martingale …
103An inequality on location and scale parameters — For probability distributions having an expected value and a median, the mean (i.e., the expected value) and the median can never differ from each other by more than one standard deviation. To express this in mathematical notation, let mu; , m ,… …
104Weyl's inequality — In mathematics, there are at least two results known as Weyl s inequality .Weyl s inequality in number theoryIn number theory, Weyl s inequality, named for Hermann Weyl, states that if M , N , a and q are integers, with a and q coprime, q > 0,… …
105Differential variational inequality — In mathematics, a differential variational inequality (DVI) is a dynamical system that incorporates ordinary differential equations and variational inequalities or complementarity problems. DVIs are useful for representing models involving both… …
106Etemadi's inequality — In probability theory, Etemadi s inequality is a so called maximal inequality , an 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… …
107Karamata's inequality — In mathematics, Karamata s inequality, also known as the Majorization Inequality, states that if f(x) is a convex function in x and the sequence :x 1, x 2, ..., x n majorizes:y 1, y 2, ..., y n then :f(x 1)+f(x 2)+...+f(x n) ge f(y 1)+f(y… …
108Borell-Brascamp-Lieb inequality — In mathematics, the Borell Brascamp Lieb inequality is an integral inequality due to many different mathematicians but named after Christer Borell, Herm Jan Brascamp and Elliott Lieb.The result was proved for p gt; 0 by Henstock and Macbeath in… …
109Horizontal inequality — is the inequality economical, social or other that does not follow from a difference in an inherent quality such as intelligence, attractiveness or skills for people or profitability for corporations. In sociology, this is particularly applicable …
110Riemannian Penrose inequality — In mathematical general relativity, the Penrose inequality, first conjectured by Sir Roger Penrose, estimates the mass of a spacetime in terms of the total area of its black holes and is a generalization of the positive mass theorem. The… …
