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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]
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
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 (>).
Income inequality has fluctuated considerably since measurements began around 1915, declining between peaks in the 1920s and 2007 (CBO data [2]) or 2012 (Piketty, Saez, Zucman data [15]). Inequality steadily increased from around 1979 to 2007, with a small reduction through 2016, [2] [16] [17] followed by an increase from 2016 to 2018. [18]
Algebra is the branch of mathematics that studies certain abstract systems, known as algebraic structures, and the manipulation of expressions within those systems. It is a generalization of arithmetic that introduces variables and algebraic operations other than the standard arithmetic operations, such as addition and multiplication.
Global share of wealth by wealth group, Credit Suisse, 2021 Share of income of the top 1% for selected developed countries, 1975 to 2015. Economic inequality is an umbrella term for a) income inequality or distribution of income (how the total sum of money paid to people is distributed among them), b) wealth inequality or distribution of wealth (how the total sum of wealth owned by people is ...
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]
Educational inequality contributes to a number of broader problems in the United States, including income inequality and increasing prison populations. [1] Educational inequalities in the United States are wide-ranging, and many potential solutions have been proposed to mitigate their impacts on students.
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