Inequality
61Ky Fan inequality — In mathematics, the Ky Fan inequality is an inequality involving the geometric mean and arithmetic mean of two sets of real numbers of the unit interval. The result was published on page 5 of the book Inequalities by Beckenbach and Bellman (1961) …
62Ascriptive inequality — Ascription occurs when social class or stratum placement is primarily hereditary. In other words, people are placed in positions in a stratification system because of qualities beyond their control. Race, sex, age, class at birth, religion,… …
63Clausius–Duhem inequality — Continuum mechanics …
64Sobolev inequality — In mathematics, there is in mathematical analysis a class of Sobolev inequalities, relating norms including those of Sobolev spaces. These are used to prove the Sobolev embedding theorem, giving inclusions between certain Sobolev spaces, and the… …
65Minkowski's first inequality for convex bodies — In mathematics, Minkowski s first inequality for convex bodies is a geometrical result due to the German mathematician Hermann Minkowski. The inequality is closely related to the Brunn–Minkowski inequality and the isoperimetric inequality.… …
66Gromov's systolic inequality for essential manifolds — In Riemannian geometry, M. Gromov s systolic inequality for essential n manifolds M dates from 1983. It is a lower bound for the volume of an arbitrary metric on M, in terms of its homotopy 1 systole. The homotopy 1 systole is the least length of …
67Brascamp-Lieb inequality — In mathematics, the Brascamp Lieb inequality is a result in geometry concerning integrable functions on n dimensional Euclidean space R n . It generalizes the Loomis Whitney inequality, the Prékopa Leindler inequality and Hölder s inequality, and …
68Social inequality — refers to a lack of social equality, where individuals in a society do not have equal social status. Areas of potential social inequality include voting rights, freedom of speech and assembly, the extent of property rights and access to education …
69Gaussian isoperimetric inequality — The Gaussian isoperimetric inequality, proved by Boris Tsirelson and Vladimir Sudakov and independently by Christer Borell, states that among all sets of given Gaussian measure in the n dimensional Euclidean space, half spaces have the minimal… …
70Triangle inequality — In mathematics, the triangle inequality states that for any triangle, the length of a given side must be less than or equal to the sum of the other two sides but greater than or equal to the difference between the two sides.In Euclidean geometry… …
