Results 11 to 20 of about 12,772,525 (351)
Applications of quadratic D-forms to generalized quadratic forms
پژوهشهای ریاضی, 2022 In this paper, we study generalized quadratic forms over a division algebra with involution of the first kind in characteristic two. For this, we associate to every generalized quadratic from a quadratic form on its underlying vector space.
Amir Hossein Nokhodkar
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A lower bound for the rank of a universal quadratic form with integer coefficients in a totally real number field [PDF]
Commentarii Mathematici Helvetici, 2018 We show that if $K$ is a monogenic, primitive, totally real number field, that contains units of every signature, then there exists a lower bound for the rank of integer universal quadratic forms defined over $K$.
Pavlo Yatsyna
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On the stability of the difference analogue of the boundary value problem for a mixed type equation
Қарағанды университетінің хабаршысы. Математика сериясы, 2022 This paper considers a difference problem for a mixed-type equation, to which a problem of integral geometry for a family of curves satisfying certain regularity conditions is reduced.
G.B. Bakanov, S.K. Meldebekova
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FRW in quadratic form of f(T) gravitational theories [PDF]
, 2015 We derive asymptote solution of a homogeneous and isotropic universe governed by the quadratic form of the field equation of f(T) gravity. We explain how the higher order of the torsion can provide an origin for late accelerated phase of the universe in ...
G. Nashed, G. Nashed
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What is the probability that a random integral quadratic form in n variables has an integral zero [PDF]
, 2015 We show that the density of quadratic forms in nn variables over ZpZp that are isotropic is a rational function of pp, where the rational function is independent of pp, and we determine this rational function explicitly.
M. Bhargava +5 more
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Control Barrier Function Based Quadratic Programs for Safety Critical Systems [PDF]
IEEE Transactions on Automatic Control, 2016 Safety critical systems involve the tight coupling between potentially conflicting control objectives and safety constraints. As a means of creating a formal framework for controlling systems of this form, and with a view toward automotive applications ...
A. Ames +3 more
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Stats, 2020 For a symmetric matrix B, we determine the class of Q such that Q t BQ is non-negative definite and apply it to panel data estimation and forecasting: the Hausman test for testing the endogeneity of the random effects in panel data models.
Bhimasankaram Pochiraju +3 more
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The sum of divisors of a quadratic form [PDF]
, 2014 We study the sum of divisors of the quadratic form $m_1^2+m_2^2+m_3^2$. Let $$S_3(X)=\sum_{1\le m_1,m_2,m_3\le X}\tau(m_1^2+m_2^2+m_3^2).$$ We obtain the asymptotic formula $$S_3(X)=C_1X^3\log X+ C_2X^3+O(X^2\log^7 X),$$ where $C_1,C_2$ are two constants.
Lilu Zhao
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Wargaming with Quadratic Forms and Brauer Configuration Algebras
Mathematics, 2022 Recently, Postnikov introduced Bert Kostant’s game to build the maximal positive root associated with the quadratic form of a simple graph. This result, and some other games based on Cartan matrices, give a new version of Gabriel’s theorem regarding ...
Agustín Moreno Cañadas +2 more
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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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