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quadratic space

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  • Quadratic form — In mathematics, a quadratic form is a homogeneous polynomial of degree two in a number of variables. For example, is a quadratic form in the variables x and y. Quadratic forms occupy a central place in various branches of mathematics, including… …   Wikipedia

  • Quadratic programming — (QP) is a special type of mathematical optimization problem. It is the problem of optimizing (minimizing or maximizing) a quadratic function of several variables subject to linear constraints on these variables.The quadratic programming problem… …   Wikipedia

  • quadratic equation — Math. an equation containing a single variable of degree 2. Its general form is ax2 + bx + c = 0, where x is the variable and a, b, and c are constants (a non zero). [1680 90] * * * Algebraic equation of particular importance in optimization. A… …   Universalium

  • Quadratic classifier — A quadratic classifier is used in machine learning to separate measurements of two or more classes of objects or events by a quadric surface. It is a more general version of the linear classifier.The classification problemStatistical… …   Wikipedia

  • Quadratic sieve — The quadratic sieve algorithm (QS) is a modern integer factorization algorithm and, in practice, the second fastest method known (after the general number field sieve). It is still the fastest for integers under 100 decimal digits or so, and is… …   Wikipedia

  • Quadratic variation — In mathematics, quadratic variation is used in the analysis of stochastic processes such as Brownian motion and martingales. Quadratic variation is just one kind of variation of a process. Definition Suppose that X t is a real valued stochastic… …   Wikipedia

  • Quadratic differential — In mathematics, a quadratic differential is a form on a Riemann surface that locally looks like the square of an abelian differential. It has (at least) two other interpretations that are useful in the study of Riemann surfaces: * a flat… …   Wikipedia

  • Quadratic growth — In mathematics, a function or sequence is said to exhibit quadratic growth when its values are proportional to the square of the function argument or sequence position, in the limit as the argument or sequence position goes to infinity. That is,… …   Wikipedia

  • Space (mathematics) — This article is about mathematical structures called spaces. For space as a geometric concept, see Euclidean space. For all other uses, see space (disambiguation). A hierarchy of mathematical spaces: The inner product induces a norm. The norm… …   Wikipedia

  • Isotropic quadratic form — In mathematics, a quadratic form over a field F is said to be isotropic if there is a non zero vector on which it evaluates to zero. Otherwise the quadratic form is anisotropic. More precisely, if q is a quadratic form on a vector space V over F …   Wikipedia

  • Complex quadratic polynomial — A complex quadratic polynomial is a quadratic polynomial whose coefficients are complex numbers. Contents 1 Forms 2 Conjugation 2.1 Between forms 2.2 With doubling map …   Wikipedia

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