Quadratic

Quadratic

In mathematics, the term quadratic describes something that pertains to squares, to the operation of squaring, to terms of the second degree, or equations or formulas that involve such terms. "Quadratus" is Latin for "square".

Mathematics

Algebra (elementary and abstract)

* Quadratic equation, a polynomial "equation" of degree 2 and its roots
* Quadratic function, a polynomial "function" of degree 2 and its roots
* Quadratic polynomial, a polynomial (in possibly more than one variable) that contains terms of the second degree, whose coefficients are real or complex numbers.
* Quadratic field, a quadratic field is an algebraic number field K of degree two over Q
* 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 a 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

* 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 a 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

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

Other

* Quadratic (Position), a sexual position.
*"Quadratic" (collection), a 1953 collection of science fiction novels by Olaf Stapledon and Murray Leinster


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  • Quadratic — Quad*rat ic, a. [Cf. F. quadratique.] [1913 Webster] 1. Of or pertaining to a square, or to squares; resembling a quadrate, or square; square. [1913 Webster] 2. (Crystallog.) Tetragonal. [1913 Webster] 3. (Alg.) Pertaining to terms of the second… …   The Collaborative International Dictionary of English

  • quadratic — (adj.) 1650s, square, from quadrate (late 14c.), from L. quadratus square, pp. of quadrare to square, related to quattuor four (see FOUR (Cf. four)). Quadratic equations (1660s) so called because they involve the square of x …   Etymology dictionary

  • quadratic — [kwä drat′ik] adj. [ QUADRATE + IC] 1. Rare square 2. Algebra involving a quantity or quantities that are squared but none that are raised to a higher power n. Algebra a quadratic term, expression, or equation quadratically adv …   English World dictionary

  • quadratic — ► ADJECTIVE Mathematics ▪ involving the second and no higher power of an unknown quantity or variable …   English terms dictionary

  • quadratic — 1. adjective a) square shaped b) of a polynomial, involving the second power (square) of a variable but no higher powers, as . 2. noun A quadratic polynomial, function or equation. See Also: quadrate, quadratic equation, quadratic fo …   Wiktionary

  • quadratic — adjective Date: 1668 involving terms of the second degree at most < quadratic function > < quadratic equations > • quadratic noun • quadratically adverb …   New Collegiate Dictionary

  • quadratic — /kwɒdˈrætɪk / (say kwod ratik) adjective 1. square. 2. Algebra involving the square and no higher power of the unknown quantity; the second degree: a quadratic equation. –noun 3. Algebra a quadratic polynomial or equation. {from quadrate + ic} …  

  • quadratic — adj. & n. Math. adj. 1 involving the second and no higher power of an unknown quantity or variable (quadratic equation). 2 square. n. 1 a quadratic equation. 2 (in pl.) the branch of algebra dealing with these. Etymology: F quadratique or mod.L… …   Useful english dictionary

  • quadratic — quadratically, adv. /kwo drat ik/, adj. 1. square. 2. Algebra. involving the square and no higher power of the unknown quantity; of the second degree. n. 3. a quadratic polynomial or equation. [1650 60; QUADRATE + IC] * * * …   Universalium

  • quadratic — adj. Quadratic is used with these nouns: ↑equation …   Collocations dictionary

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