# inequality

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**Inequality in disease**— The social inequality of the United States is deep rooted and widespread, even extending into a person’s health, and more specifically their likelihood of developing a disease. Biological factors or inheritable characteristics cannot explain the… …42

**Economic inequality**— refers to disparities in the distribution of economic assets and income. The term typically refers to inequality among individuals and groups within a society, but can also refer to inequality among nations. Economic Inequality generally refers… …43

**Income inequality metrics**— The concept of inequality is distinct from that of poverty[1] and fairness. Income inequality metrics or income distribution metrics are used by social scientists to measure the distribution of income, and economic inequality among the… …44

**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… …45

**Chebyshev's inequality**— For the similarly named inequality involving series, see Chebyshev s sum inequality. In probability theory, Chebyshev’s inequality (also spelled as Tchebysheff’s inequality) guarantees that in any data sample or probability distribution, nearly… …46

**Isoperimetric inequality**— The isoperimetric inequality is a geometric inequality involving the square of the circumference of a closed curve in the plane and the area of a plane region it encloses, as well as its various generalizations. Isoperimetric literally means… …47

**Income inequality in the United States**— is the extent to which income, most commonly measured by household or individual, is distributed in an uneven manner. While there seems to be consensus among social scientists that some degree of income inequality is needed, the extent of income… …48

**Jensen's inequality**— In mathematics, Jensen s inequality, named after the Danish mathematician Johan Jensen, relates the value of a convex function of an integral to the integral of the convex function. It was proved by Jensen in 1906 [Jensen, J. Sur les fonctions… …49

**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… …50

**Wealth inequality in the United States**— refers to the unequal distribution of financial assets among residents of the United States. Wealth includes the values of homes, automobiles, businesses, savings, and investments [Hurst, Charles E. Social Inequality: Forms, Causes, and… …51

**Occupational inequality**— is the unequal treatment of people based on gender or race in the workplace. When researchers study trends in occupational inequality they usually focus on distribution or allocation pattern of groups across occupations, for example, the… …52

**CHSH inequality**— In physics, the CHSH Bell test is an application of Bell s theorem, intended to distinguish between the entanglement hypothesis of quantum mechanics and local hidden variable theories. CHSH stands for John Clauser, Michael Horne, Abner Shimony… …53

**Minkowski inequality**— This page is about Minkowski s inequality for norms. See Minkowski s first inequality for convex bodies for Minkowski s inequality in convex geometry. In mathematical analysis, the Minkowski inequality establishes that the Lp spaces are normed… …54

**Race and inequality in the United States**— In the United States there is inequality between different groups of people. The idea that there is a significant correlation between race and inequality is not a new concept. Some dispute that race is overemphasized, but historical evidence… …55

**Concentration inequality**— In mathematics, concentration inequalities provide probability bounds on how a random variable deviates from some value (e.g. its expectation). The laws of large numbers of classical probability theory state that sums of independent random… …56

**International inequality**— [ thumb|400px|Per capita income ratio (purchasing power parity basis) around the world in the year 2000. Each color represents the ratio of income in the country to the world mean. Countries colored red have less than one quarter of the world… …57

**Markov's inequality**— gives an upper bound for the measure of the set (indicated in red) where f(x) exceeds a given level . The bound combines the level with the average value of f …58

**Kantorovich inequality**— In mathematics, the Kantorovich inequality is a particular case of the Cauchy Schwarz inequality, which is itself a generalization of the triangle inequality. The triangle inequality states that the length of two sides of any triangle, added… …59

**Kraft's inequality**— In coding theory, Kraft s inequality, named after Leon Kraft, gives a necessary and sufficient condition for the existence of a uniquely decodable code for a given set of codeword lengths. Its applications to prefix codes and trees often find use …60

**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… …