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Learn how to compare numbers or expressions with inequalities, such as a ≤ b or a ≥ b. Find out the meaning, notation and properties of strict and non-strict inequalities, and some well-known inequalities in mathematics.
Farkas' lemma is a theorem of the alternative for linear inequalities, used in optimization, quantum theory and complexity theory. Learn its statement, proof, examples, geometric and logic interpretations, and variants.
A linear inequality is an inequality involving a linear function with one of the symbols of inequality. Learn about two-dimensional and general linear inequalities, systems of linear inequalities, applications and generalization.
Learn about the definition, examples, and solution methods of a system of linear equations, a collection of two or more linear equations involving the same variables. Explore the geometric interpretation, the general form, and the behavior of linear systems in different cases.
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.
Relaxation methods were developed for solving large sparse linear systems, which arose as finite-difference discretizations of differential equations. [2] [3] They are also used for the solution of linear equations for linear least-squares problems [4] and also for systems of linear inequalities, such as those arising in linear programming.
Bernstein inequalities (probability theory) Boole's inequality; Borell–TIS inequality; BRS-inequality; Burkholder's inequality; Burkholder–Davis–Gundy inequalities; Cantelli's inequality; Chebyshev's inequality; Chernoff's inequality; Chung–ErdÅ‘s inequality; Concentration inequality; Cramér–Rao inequality; Doob's martingale inequality
Download as PDF; Printable version ... of nonnegative integers satisfying a system of inequalities ... A d-tuple satisfying the corresponding strict inequalities, i.e
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