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In mathematics, reduction refers to the rewriting of an expression into a simpler form. For example, the process of rewriting a fraction into one with the smallest whole-number denominator possible (while keeping the numerator a whole number) is called " reducing a fraction ".
Lambda calculus is Turing complete, that is, it is a universal model of computation that can be used to simulate any Turing machine. [3] Its namesake, the Greek letter lambda (λ), is used in lambda expressions and lambda terms to denote binding a variable in a function.
Example of a reduction from the boolean satisfiability problem (A ∨ B) ∧ (¬A ∨ ¬B ∨ ¬C) ∧ (¬A ∨ B ∨ C) to a vertex cover problem.The blue vertices form a minimum vertex cover, and the blue vertices in the gray oval correspond to a satisfying truth assignment for the original formula.
Reduction (mathematics), the rewriting of an expression into a simpler form Beta reduction , the rewriting of an expression from lambda calculus into a simpler form Dimension reduction , the process of reducing the number of random variables under consideration
In mathematics, Gaussian elimination, also known as row reduction, is an algorithm for solving systems of linear equations. It consists of a sequence of row-wise operations performed on the corresponding matrix of coefficients.
A reduction formula is used to represent some expression in a simpler form. ... Mathematics. Formulas of reduction, the decomposition of multiple integrals;
In integral calculus, integration by reduction formulae is a method relying on recurrence relations. It is used when an expression containing an integer parameter , usually in the form of powers of elementary functions, or products of transcendental functions and polynomials of arbitrary degree , can't be integrated directly.
In computability theory, many reducibility relations (also called reductions, reducibilities, and notions of reducibility) are studied.They are motivated by the question: given sets and of natural numbers, is it possible to effectively convert a method for deciding membership in into a method for deciding membership in ?