functional inequality

functional inequality

Dictionary of sociology. 2013.

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  • inequality — inequality, social inequality Unequal rewards or opportunities for different individuals within a group or groups within a society. If equality is judged in terms of legal equality, equality of opportunity, or equality of outcome, then inequality …   Dictionary of sociology

  • Inequality of arithmetic and geometric means — In mathematics, the inequality of arithmetic and geometric means, or more briefly the AM GM inequality, states that the arithmetic mean of a list of non negative real numbers is greater than or equal to the geometric mean of the same list; and… …   Wikipedia

  • functional theory of stratification — In a classic article outlining’Some Principles of Stratification’ (American Sociological Review, 1945), argued that unequal social and economic rewards were an ‘unconsciously evolved device’ by which societies ensured that talented individuals… …   Dictionary of sociology

  • Gaussian 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… …   Wikipedia

  • Hölder's inequality — In mathematical analysis Hölder s inequality, named after Otto Hölder, is a fundamental inequality between integrals and an indispensable tool for the study of Lp spaces. Let (S, Σ, μ) be a measure space and let 1 ≤ p, q ≤ ∞ with… …   Wikipedia

  • Grönwall's inequality — In mathematics, Grönwall s lemma allows one to bound a function that is known to satisfy a certain differential or integral inequality by the solution of the corresponding differential or integral equation. There are two forms of the lemma, a… …   Wikipedia

  • Young's inequality — In mathematics, the standard form of Young s inequality states that if a and b are nonnegative real numbers and p and q are positive real numbers such that 1/ p + 1/ q = 1 then we have:ab le frac{a^p}{p} + frac{b^q}{q}.Equality holds if and only… …   Wikipedia

  • Ky 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) …   Wikipedia

  • Ascriptive 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,… …   Wikipedia

  • Brascamp-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 …   Wikipedia

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