Results 11 to 20 of about 6,132,114 (301)
The Composite Theorem of Ternary Quadratic Inequalities and its Applications [PDF]
, 2008 In this paper, we establish the composite theorem of ternary quadratic inequalities by using the Decision Theorem and Hölder inequality. Its applications in triangle inequalities are discussed, and several problems and conjectures are put ...
Liu, Jian
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Advances in Wishart-Type Modelling of Channel Capacity
Revstat Statistical Journal, 2020 This paper paves the way when the assumption of normality is challenged within the wireless communications systems arena. Innovative results pertaining to the distributions of quadratic forms and their associated eigenvalue density functions for the ...
J.T. Ferreira , A. Bekker , M. Arashi
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Reformulating mixed-integer quadratically constrained quadratic programs [PDF]
, 2011 It is well known that semidefinite programming (SDP) can be used to derive useful relaxations for a variety of optimisation problems. Moreover, in the particular case of mixed-integer quadratic programs, SDP has been used to reformulate problems, rather ...
Galli, L, Letchford, A. N.
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Regularity of Linear Systems of Differential Equations on the Axes and Pencils of Quadratic Forms
Communications in Advanced Mathematical Sciences, 2019 It is considered linear systems of differential equations and investigated questions of regularity of these systems. To explore the regularity it is comfortable to use quadratic form whose derivative with respect to the adjoint system is positive ...
Nataliya Stepanenko +2 more
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A New Slack Lyapunov Functional for Dynamical System with Time Delay
Mathematics, 2022 The traditional method of constructing a Lyapunov functional for dynamical systems with time delay is usually dependent on positive definite matrices in the quadratic form.
Can Zhao +3 more
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On the representation of quadratic forms by quadratic forms
Michigan Mathematical Journal, 2013 Using the circle method, we show that for a fixed positive definite integral quadratic form $A$, the expected asymptotic formula for the number of representations of a positive definite integral quadratic form $B$ by $A$ holds true, providing that the dimension of $A$ is large enough in terms of the dimension of $B$ and the maximum ratio of the ...
Dietmann, Rainer, Harvey, Michael
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Kaplansky's ternary quadratic form
International Journal of Mathematics and Mathematical Sciences, 2001 This paper proves that if N is a nonnegative eligible integer, coprime to 7, which is not of the form x2+y2+7z2, then N is square-free. The proof is modelled on that of a similar theorem by Ono and Soundararajan, in which relations between the number of ...
James Kelley
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Petrographic structures and Hardy – Weinberg equilibrium
Записки Горного института, 2020 The article is devoted to the most narrative side of modern petrography – the definition, classification and nomenclature of petrographic structures. We suggest a mathematical formalism using the theory of quadratic forms (with a promising extension to ...
Yury L. VOYTEKHOVSKY, Alena A. ZAKHAROVA
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Orthogonal Families of Bicircular Quartics, Quadratic Differentials, and Edwards Normal Form
Axioms, 2023 Orthogonal families of bicircular quartics are naturally viewed as pairs of singular foliations of C^ by vertical and horizontal trajectories of a non-vanishing quadratic differential.
Joel C. Langer, David A. Singer
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On Solving Bi-level Multi-Objective Fully Quadratic Fractional Optimization Model with Fuzzy Demands [PDF]
International Journal of Mathematical, Engineering and Management Sciences, 2021 This paper has been designed to introduce the method for solving the Bi-level Multi-objective (BL-MO) Fully Quadratic Fractional Optimization Model through Fuzzy Goal Programming (FGP) approach by utilising non-linear programming.
Namrata Rani +2 more
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