Results 41 to 50 of about 514,330 (88)
On the wave turbulence theory of 2D gravity waves, I: Deterministic energy estimates
Communications on Pure and Applied Mathematics, Volume 78, Issue 2, Page 211-322, February 2025.Abstract Our goal in this paper is to initiate the rigorous investigation of wave turbulence and derivation of wave kinetic equations (WKEs) for water waves models. This problem has received intense attention in recent years in the context of semilinear models, such as Schrödinger equations or multidimensional KdV‐type equations. However, our situation
Yu Deng +2 more
wiley +1 more source
Double Copy From Tensor Products of Metric BV■‐Algebras
Fortschritte der Physik, Volume 73, Issue 1-2, February 2025.Abstract Field theories with kinematic Lie algebras, such as field theories featuring color–kinematics duality, possess an underlying algebraic structure known as BV■‐algebra. If, additionally, matter fields are present, this structure is supplemented by a module for the BV■‐algebra.
Leron Borsten +5 more
wiley +1 more source
On Kronecker Products, Tensor Products And Matrix Differential Calculus [PDF]
The algebra of the Kronecker products of matrices is recapitulated using a notation that reveals the tensor structures of the matrices. It is claimed that many of the difficulties that are encountered in working with the algebra can be alleviated by ...
Stephen Pollock
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Geometric Relational Framework for General‐Relativistic Gauge Field Theories
Fortschritte der Physik, Volume 73, Issue 1-2, February 2025.Abstract It is recalled how relationality arises as the core insight of general‐relativistic gauge field theories from the articulation of the generalized hole and point‐coincidence arguments. Hence, a compelling case for a manifestly relational framework ensues naturally.
Jordan T. François, Lucrezia Ravera
wiley +1 more source
Higher secant varieties of $\mathbb{P}^n \times \mathbb{P}^m$ embedded in bi-degree $(1,d)$ [PDF]
, 2010 Let $X^{(n,m)}_{(1,d)}$ denote the Segre-Veronese embedding of $\mathbb{P}^n \times \mathbb{P}^m$ via the sections of the sheaf $\mathcal{O}(1,d)$. We study the dimensions of higher secant varieties of $X^{(n,m)}_{(1,d)}$ and we prove that there is no ...
Maria Virginia Catalisano +12 more
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Nonlinear Optics Through the Field Tensor Formalism
Laser &Photonics Reviews, Volume 19, Issue 2, January 22, 2025.This review delves into the symmetry properties of electric fields and susceptibility tensors. It explores scenarios where propagation effects are negligible and situations where propagation is significant, elucidating the role of the field tensor in phase‐matching considerations.
Julien Duboisset +4 more
wiley +1 more source
Multivariable Calculus, Linear Algebra, and Differential Equations
, 1986 Multivariable Calculus, Linear Algebra, and Differential Equations, Second Edition contains a comprehensive coverage of the study of advanced calculus, linear algebra, and differential equations for sophomore college students.The text includes a large ...
Grossman, Stanley I.
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Higher-order web link analysis using multilinear algebra. [PDF]
, 2005 Linear algebra is a powerful and proven tool in web search. Techniques, such as the PageRank algorithm of Brin and Page and the HITS algorithm of Kleinberg, score web pages based on the principal eigenvector (or singular vector) of a particular non ...
Bader, Brett William (Sandia National Laboratories, Albuquerque, NM) +2 more
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IET Image Processing, Volume 19, Issue 1, January/December 2025.This paper proposes a quaternion‐based framework for color image restoration, addressing challenges such as color distortion and structural artifacts. By combining low‐rank pseudo‐norm constraints with saturation‐value total variation (SVTV) regularization and solving via ADMM, the method achieves high‐quality results in denoising, deblurring, and ...
Zipeng Fu +3 more
wiley +1 more source
Deinsum: Practically I/O Optimal Multilinear Algebra
, 2022 Multilinear algebra kernel performance on modern massively-parallel systems is determined mainly by data movement. However, deriving data movement-optimal distributed schedules for programs with many high-dimensional inputs is a notoriously hard problem.
Ben-Nun, Tal +4 more
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