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The word problem for an algebra is then to determine, given two expressions (words) involving the generators and operations, whether they represent the same element of the algebra modulo the identities. The word problems for groups and semigroups can be phrased as word problems for algebras. [1]
Buildings in Rio de Janeiro, demonstrating economic inequality. Effects of income inequality, researchers have found, include higher rates of health and social problems, and lower rates of social goods, [1] a lower population-wide satisfaction and happiness [2] [3] and even a lower level of economic growth when human capital is neglected for high-end consumption. [4]
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. The main types of inequality are less than (<) and greater than (>).
Spatial inequality refers to the unequal distribution of income and resources across geographical regions. [1] Attributable to local differences in infrastructure, [2] geographical features (presence of mountains, coastlines, particular climates, etc.) and economies of agglomeration, [3] such inequality remains central to public policy discussions regarding economic inequality more broadly.
Bennett's inequality, an upper bound on the probability that the sum of independent random variables deviates from its expected value by more than any specified amount Bhatia–Davis inequality , an upper bound on the variance of any bounded probability distribution
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.
Social inequality usually implies the lack of equality of outcome, but may alternatively be conceptualized as a lack of equality in access to opportunity. [1] Social inequality is linked to economic inequality, usually described as the basis of the unequal distribution of income or wealth.
In fact, studies have shown that income-related inequality in healthcare expenditures favors the wealthy to a greater degree in the United States than most other Western nations. [18] The enormous costs of healthcare, coupled with the vast number of Americans lacking health insurance, indicate the severe inequality and serious problems that exist.
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