quadratic

  • 91Tensor product of quadratic forms — The tensor product of quadratic forms is most easily understood when one views the quadratic forms as quadratic spaces . So, if (V, q 1) and (W, q 2) are quadratic spaces, which V,W vector spaces, then the tensor product is a quadratic form q on… …

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  • 92Definite quadratic form — In mathematics, a definite quadratic form is a real valued quadratic form over some vector space V that has the same sign (always positive or always negative) for every nonzero vector of V. The definite quadratic forms correspond in one to one… …

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  • 93Linear-quadratic regulator — The theory of optimal control is concerned with operating a dynamic system at minimum cost. The case where the system dynamics are described by a set of linear differential equations and the cost is described by a quadratic functional is called… …

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  • 94Quadratically constrained quadratic program — In mathematics, a quadratically constrained quadratic program (QCQP) is an optimization problem in which both the objective function and the constraints are quadratic functions. It has the form: egin{align} ext{minimize} frac12 x^ op P 0 x + q… …

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  • 95Hasse invariant of a quadratic form — In mathematics, the Hasse invariant (or Hasse Witt invariant) of a quadratic form Q over a field K takes values in the Brauer group Br( K ).The quadratic form Q may be taken as a diagonal form: Sigma; a i x i 2.Its invariant is then defined as… …

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  • 96Somos' quadratic recurrence constant — In mathematics, Somos quadratic recurrence constant, named after Michael Somos, who is a researcher in the Georgetown University Mathematics Department, is the number:sigma = sqrt {1 sqrt {2 sqrt{3 cdots} = 1^{1/2};2^{1/4}; 3^{1/8} cdots.,This… …

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  • 97definite quadratic form — noun : a quadratic form that is always positive or always negative for every set of values of the variables involved in it except when all the variables are zero in which case the form has the value zero …

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  • 98QMR effect — Quadratic Magnetic Rotation of Polarization of Light is called also QMR or QMR effect.QMR is a type of magneto optic effect, discovered in the mid 1980 s by a team of Ukrainian physicists. QMR, like the Faraday effect, establishes a relationship… …

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  • 99quadraticformula — quadratic formula n. The formula x = [ b ±√(b2 4ac)]/2a, used to compute the roots of a quadratic equation. * * * …

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  • 100quadraticequation — quadratic equation n. An equation in which one or more of the terms is squared but raised to no higher power, having the general form ax2 + bx + c = 0, where a, b, and c are constants. * * * …

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