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Visual proof that (x + y)2 ≥ 4xy. Taking square roots and dividing by two gives the AM–GM inequality. [1] 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 ...
The feasible regions of linear programming are defined by a set of inequalities. In mathematics, an inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions. [1] It is used most often to compare two numbers on the number line by their size.
e. Educational Inequality is the unequal distribution of academic resources, including but not limited to school funding, qualified and experienced teachers, books, physical facilities and technologies, to socially excluded communities. These communities tend to be historically disadvantaged and oppressed.
The triangle inequality is a defining property of norms and measures of distance. This property must be established as a theorem for any function proposed for such purposes for each particular space: for example, spaces such as the real numbers, Euclidean spaces, the L p spaces (p ≥ 1), and inner product spaces.
Bell's theorem is a term encompassing a number of closely related results in physics, all of which determine that quantum mechanics is incompatible with local hidden-variable theories, given some basic assumptions about the nature of measurement. "Local" here refers to the principle of locality, the idea that a particle can only be influenced ...
In mathematics, the QM-AM-GM-HM inequalities, also known as the mean inequality chain, state the relationship between the harmonic mean, geometric mean, arithmetic mean, and quadratic mean (also known as root mean square). Suppose that are positive real numbers. Then. These inequalities often appear in mathematical competitions and have ...
Unequal access to education in the United States results in unequal outcomes for students. Disparities in academic access among students in the United States are the result of multiple factors including government policies, school choice, family wealth, parenting style, implicit bias towards students' race or ethnicity, and the resources available to students and their schools.
Social inequality is linked to economic inequality, usually described on the basis of the unequal distribution of income or wealth. Although the disciplines of economics and sociology generally use different theoretical approaches to examine and explain economic inequality, both fields are actively involved in researching this inequality.