Results 11 to 20 of about 49,024 (304)
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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Algorithms for quadratic forms
Journal of Symbolic Computation, 2008 The author presents several algorithms which solve some problems appearing in the theory of quadratic forms over rational function field \(\mathbb R(t)\). The first group contains algorithms for the square-class group of \(\mathbb R(t).\) They allow to find a square-free representative of a square class of a rational function, to check if a rational ...
Koprowski, Przemysław
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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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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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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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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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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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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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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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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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