Results 21 to 30 of about 2,801,507 (197)
The birational composition of arbitrary quadratic form with binary quadratic form
Журнал Белорусского государственного университета: Математика, информатика, 2022 Let f(X) and g(Y) be nondegenerate quadratic forms of dimensions m and n respectively over a field K, charK ≠ 2. Herein, the problem of the birational composition of f(X) and g(Y) is considered, namely, the condition is established when the product f(X)g(
Alexandr A. Bondarenko
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Annihilating polynomials for quadratic forms
International Journal of Mathematics and Mathematical Sciences, 2001 This is a short survey of the main known results concerning annihilating polynomials for the Witt ring of quadratic forms over a field.
David W. Lewis
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Derived Hyperstructures from Hyperconics
Mathematics, 2020 In this paper, we introduce generalized quadratic forms and hyperconics over quotient hyperfields as a generalization of the notion of conics on fields.
Vahid Vahedi +5 more
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When Flexible Forms Are Asked to Flex Too Much
Journal of Agricultural and Resource Economics, 1994 Taylor series-based flexible forms cannot be interpreted as Taylor series approximations unless all data used in estimation lie in a region of convergence.
Paul J. Driscoll
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Inductive graded rings, hyperfields and quadratic forms [PDF]
Categories and General Algebraic Structures with ApplicationsIn [6] we developed a k-theory for the category of hyperbolic hyperfields (a category that contains a copy of the category of (pre)special groups): this construction extends, simultaneously, Milnor's k-theory ([20]) and Dickmann-Miraglia's k-theory ([13])
Kaique Roberto, Hugo Mariano
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Beamforming Using Exact Evaluation of Leakage and Ergodic Capacity of MU-MIMO System
Sensors, 2021 Closed-form evaluation of key performance indicators (KPIs) of telecommunication networks help perform mathematical analysis under several network configurations.
Ahmad Kamal Hassan, Muhammad Moinuddin
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Transactions of the American Mathematical Society, 1995 The results of Boyce for random Sturm-Liouville problems are generalized to random quadratic forms. Order relationships are proved between the means of eigenvalues of a random quadratic form and the eigenvalues of an associated mean quadratic form. Finite-dimensional and infinite-dimensional examples that show these are the best possible results are ...
Gregory, John, Hughes, H. R.
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Some remarks on duality and optimality of a class of constrained convex quadratic minimization problems [PDF]
Yugoslav Journal of Operations Research, 2017 In this paper the duality and optimality of a class of constrained convex quadratic optimization problems have been studied. Furthermore, the global optimality condition of a class of interval quadratic minimization problems has also been ...
Roy Sudipta +2 more
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On the Index of a Quadratic Form [PDF]
Canadian Mathematical Bulletin, 1958 Given a vector space V = {x, y, ...} over an arbitrary field. In V a symmetric bilinear form (x,y) i s given. A subspace W is called totally isotropic [t.i.] if (x,y) = 0 for every pair x W, y W.Let Vn and Vm be two t.i. subspaces of V; n < m. Lower indices always indicate dimensions. It is a well known and fundamental fact of analytic geometry that
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Distribution of Quadratic Forms and Ratios of Quadratic Forms
The Annals of Mathematical Statistics, 1953 Let the random variable $X = (X_1, X_2, \cdots, X_n)$ have the probability density $p(x) = \frac{\det^{\frac{1}{2}} \Omega}{(2\pi)^{n/2}} e^{-\frac{1}{2}x\Omega x'}$ where $x\Omega x'$ is positive definite. The present article solves, by means of Laguerian expansions, the problem of finding the distribution of any nonnegative quadratic form $XPX'$.
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