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In mathematics, an inequation is a statement that an inequality holds between two values. [1] [2] It is usually written in the form of a pair of expressions denoting the values in question, with a relational sign between them indicating the specific inequality relation.
Instead, the inequalities must be solved independently, yielding x < 1 / 2 and x ≥ −1 respectively, which can be combined into the final solution −1 ≤ x < 1 / 2 . Occasionally, chained notation is used with inequalities in different directions, in which case the meaning is the logical conjunction of the inequalities ...
In simple societies, those that have few social roles and statuses occupied by its members, social inequality may be very low. In tribal societies, for example, a tribal head or chieftain may hold some privileges, use some tools, or wear marks of office to which others do not have access, but the daily life of the chieftain is very much like ...
Gender inequality, unequal treatment or perceptions of individuals due to their gender; Participation inequality, the phenomenon in which a small percentage of people contributes the majority of information to the total outcome; Racial inequality, hierarchical social distinctions between racial and ethnic categories within a society
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
The inequality is named after William Henry Young and should not be confused with Young's convolution inequality. Young's inequality for products can be used to prove Hölder's inequality . It is also widely used to estimate the norm of nonlinear terms in PDE theory , since it allows one to estimate a product of two terms by a sum of the same ...
Two-dimensional linear inequalities are expressions in two variables of the form: + < +, where the inequalities may either be strict or not. The solution set of such an inequality can be graphically represented by a half-plane (all the points on one "side" of a fixed line) in the Euclidean plane. [2]
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 distributed among the owners), and c) consumption inequality (how the total sum of money spent by people is distributed among the spenders).