Results 21 to 30 of about 12,772,525 (351)

Advances in Wishart-Type Modelling of Channel Capacity

open access: yesRevstat 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
doaj   +1 more source

Regularity of Linear Systems of Differential Equations on the Axes and Pencils of Quadratic Forms

open access: yesCommunications 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
doaj   +1 more source

A New Slack Lyapunov Functional for Dynamical System with Time Delay

open access: yesMathematics, 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
doaj   +1 more source

On the representation of quadratic forms by quadratic forms

open access: yesMichigan 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
openaire   +3 more sources

On Sketching Quadratic Forms [PDF]

open access: yesProceedings of the 2016 ACM Conference on Innovations in Theoretical Computer Science, 2016
We undertake a systematic study of sketching a quadratic form: given an $n \times n$ matrix $A$, create a succinct sketch $\textbf{sk}(A)$ which can produce (without further access to $A$) a multiplicative $(1+ε)$-approximation to $x^T A x$ for any desired query $x \in \mathbb{R}^n$.
Alexandr Andoni   +5 more
openaire   +2 more sources

Petrographic structures and Hardy – Weinberg equilibrium

open access: yesЗаписки 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
doaj   +1 more source

On Solving Bi-level Multi-Objective Fully Quadratic Fractional Optimization Model with Fuzzy Demands [PDF]

open access: yesInternational 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
doaj   +1 more source

Orthogonal Families of Bicircular Quartics, Quadratic Differentials, and Edwards Normal Form

open access: yesAxioms, 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
doaj   +1 more source

Some conditions of regularity of linear extensions of dynamical systems with respect to selected variables

open access: yesNonlinear Analysis, 2014
In this paper, we dealt with the issue of the regularity of the linear extension of the dynamical system. Using the Lyapunov function with the changeable sign, conditions for the regularity of the entire examined dynamical system were given, assuming ...
Dariusz Paczko, Viktor Kulyk
doaj   +1 more source

Groups from Class 2 Algebras and the Weil Character [PDF]

open access: yesAdvances in Group Theory and Applications, 2017
We investigate the behaviour of the Weil character of the symplectic group on restriction to subgroups arising from commutative nilpotent algebras of class 2. We give explicit descriptions of the decomposition of the Weil character when restricted to the
Christakis A. Pallikaros, Harold N. Ward
doaj  

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