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Quadratic
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{{wiktionary|quadratic}} {{TOC right}} In mathematics, the term '''quadratic''' describes something that pertains to [[Square (algebra)|squares]], to the operation of squaring, to terms of the second [[degree of a polynomial|degree]], or equations or formulas that involve such terms. ''Quadratus'' is [[Latin]] for ''square''. == Mathematics == === Algebra (elementary and abstract) === * [[Quadratic function]] (or quadratic polynomial), a polynomial function that contains terms of at most second degree ** [[Complex quadratic polynomial]]s, are particularly interesting for their sometimes chaotic properties under iteration * [[Quadratic equation]], a polynomial equation of degree 2 (reducible to 0 = ''ax''<sup>2</sup> + ''bx'' + ''c'') * [[Quadratic formula]], calculation to solve a quadratic equation for the independent variable (''x'') * [[Quadratic field]], an algebraic number field of degree two over the field of rational numbers * [[Quadratic irrational]] or "quadratic surd", an irrational number that is a root of a quadratic polynomial === Calculus === * [[Quadratic integral]], the integral of the reciprocal of a second-degree polynomial === Statistics and stochastics === * [[Quadratic form (statistics)]], scalar quantity ε'Λε for an ''n''-dimensional square matrix * [[Quadratic mean]], the square root of the mean of the squares of the data * [[Quadratic variation]], in stochastics, useful for the analysis of Brownian motion and martingales === Number theory === * [[Quadratic reciprocity]], a theorem from number theory * [[Quadratic residue]], an integer that is a square modulo ''n'' * [[Quadratic sieve]], a modern integer factorization algorithm === Other mathematics === * [[Quadratic convergence]], in which the distance to a convergent sequence's limit is squared at each step * [[Quadratic differential]], a form on a Riemann surface that locally looks like the square of an abelian differential * [[Quadratic form]], a homogeneous polynomial of degree two in any number of variables * [[Quadratic programming]], a special type of mathematical optimization problem * [[Quadratic growth]], an asymptotic growth rate proportional to a quadratic function * [[Periodic points of complex quadratic mappings]], a type of graph that can be used to explore stability in control systems * [[Bézier curve|Quadratic Bézier curve]], a type of Bézier curve == Computer science == * [[Quadratic probing]], a scheme in computer programming for resolving collisions in hash tables * [[Quadratic classifier]], used in machine learning to separate measurements of two or more classes of objects * [[Quadratic time]], in referring to algorithms with quadratic time complexity == Other == *[[Quadratic (collection)|''Quadratic'' (collection)]], a 1953 collection of science fiction novels by Olaf Stapledon and Murray Leinster ==See also== * {{look from}} * {{in title}} * [[Cubic (disambiguation)]], relating to a [[cube]] or [[degree of a polynomial|degree]] 3, as next higher above ''quadratic'' * [[Linear]], relating to a line or degree 1, as next lower below ''quadratic'' * [[Quad (disambiguation)]] * [[Quadratic transformation (disambiguation)]] {{mathematical disambiguation}}
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