Results 11 to 20 of about 2,801,507 (197)
Quadratic structures associated to (multi)rings [PDF]
Categories and General Algebraic Structures with Applications, 2022 We consider certain pairs (A, T) where A is a (multi)ring andT ⊆ A is a multiplicative set that generates, by a convenient quotient construction,a (multi)structure that supports a quadratic form theory: withsome natural hypotheses we generalize ...
Kaique Roberto +2 more
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Characterization of solutions of the discrete-time algebraic Riccati equation based on quadratic difference forms [PDF]
, 2006 This paper is concerned with a characterization of all symmetric solutions to the discrete-time algebraic Riccati equation (DARE). Dissipation theory and quadratic difference forms from the behavioral approach play a central role in this paper. Along the
Kojima, Chiaki +3 more
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On Sketching Quadratic Forms [PDF]
Proceedings 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
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Gravitation and quadratic forms
Journal of High Energy Physics, 2017 The light-cone Hamiltonians describing both pure ( N $$ \mathcal{N} $$ = 0) Yang-Mills and N $$ \mathcal{N} $$ = 4 super Yang-Mills may be expressed as quadratic forms. Here, we show that this feature extends to theories of gravity.
Sudarshan Ananth +4 more
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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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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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Linear Hamiltonian behaviors and bilinear differential forms [PDF]
, 2004 We study linear Hamiltonian systems using bilinear and quadratic differential forms. Such a representation-free approach allows us to use the same concepts and techniques to deal with systems isolated from their environment and with systems subject to ...
Rapisarda, P. +7 more
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Witt rings of quadratically presentable fields [PDF]
Categories and General Algebraic Structures with Applications, 2020 This paper introduces an approach to the axiomatic theory of quadratic forms based on {tmem{presentable}} partially ordered sets, that is partially ordered sets subject to additional conditions which amount to a strong form of local presentability.
Pawel Gladki, Krzysztof Worytkiewicz
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An Overview of the Pathway Idea and Its Applications in Statistical and Physical Sciences
Axioms, 2015 Pathway idea is a switching mechanism by which one can go from one functional form to another, and to yet another. It is shown that through a parameter α, called the pathway parameter, one can connect generalized type-1 beta family of densities ...
Nicy Sebastian +2 more
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Quadratic forms in Normal Variates Under Ridge Regression. [PDF]
The Egyptian Statistical Journal, 1997 This paper concentrates on studying the quadratic forms in normal variates which appear when testing linear statistical hypothesis under ridge regression with positive non-stochastic biased factors k1, k2, …, kp . Except for the correction factor nȳ2, it
Abdul-Mordy Azzam
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