Results 61 to 70 of about 98,002 (213)
Structural identifiability analysis via symmetries of differential equations [PDF]
, 2009 Results and derivations are presented for the generation of a local Lie algebra that represents the 'symmetries' of a set of coupled differential equations.
Yates, James W. T. +2 more
core +1 more source
On the Lang–Trotter conjecture for Siegel modular forms
Mathematika, Volume 72, Issue 3, July 2026.Abstract Let f$f$ be a genus‐two cuspidal Siegel eigenform. We prove an adelic open image theorem for the compatible system of Galois representations associated with f$f$, generalizing the results of Ribet and Momose for elliptic modular forms. Using this result, we investigate the distribution of the Hecke eigenvalues ap$a_p$ of f$f$, and obtain upper
Arvind Kumar, Moni Kumari, Ariel Weiss
wiley +1 more source
Meta-Operational Mathematics on Operator Algebras: From Commutative to Noncommutative Settings
This paper develops a systematic extension of Meta-Operational Mathematics to the realm of operator algebras, encompassing both commutative and noncommutative settings. We elevate operations on C*-algebras and von Neumann algebras to the status of independent mathematical objects, and study meta-operations---composition, involution, exponentiation ...
openaire +3 more sources
On the Meaning of Localization in Non‐Local Quantum Field Theory
Annalen der Physik, Volume 538, Issue 6, June 2026.In non‐local quantum field theory nature does not necessarily allow objects or events to be localized to exact mathematical points. Instead any physical measurement has a built‐in finite resolution set by the non‐locality scale. Spacetime remains continuous and Lorentz‐covariant, but below this scale pointlike localization becomes an idealization ...
E. J. Thompson
wiley +1 more source
Gamma (co)homology of commutative algebras and some related representations of the symmetric group [PDF]
This thesis covers two related subjects: homology of commutative algebras and certain representations of the symmetric group. There are several different formulations of commutative algebra homology, all of which are known to agree when one works over
Whitehouse, Sarah Ann
core
Automatic presentations for semigroups
, 2012 Special Issue: 2nd International Conference on Language and Automata Theory and Applications (LATA 2008)This paper applies the concept of FA-presentable structures to semigroups.
Cain, Alan James +3 more
core +1 more source
Uniqueness of A-infinity structures and Hochschild cohomology [PDF]
, 2011 Working over a commutative ground ring, we establish a Hochschild cohomology criterion for uniqueness of derived A-infinity algebra structures in the sense of Sagave.
Whitehouse, Sarah +5 more
core +1 more source
本文提出了求解多项式方程的微分代数和向量代数框架对非交换克利福德代数设置的全面扩展。我们通过引入一个严格定义的路径排序算子 P，直接面对非交换性带来的基本障碍，该算子 P 投射到对称子空间上，同时保留基本代数结构。我们通过构造非交换克利福德代数闭包 V nc Cl，为求解在非交换克利福德代数 Cl（V， Q） 中定义的多元多项式方程组建立了完整的理论基础。求解方法为此类系统的根提供了显式分析表达式，采用统一形式：非交换牛顿恒等式和收敛分析。开发的算法通过全面的误差分析实现了 O（n 3 m 3 2 3m） 复杂度。数值验证在各种测试用例中展示了 10 −13 残差的精度。这项工作与经典的不可能性结果相协调，同时证明显式解析解存在于适当扩展的代数结构中，这些代数结构在非交换环境中结合了微分和几何运算。
Dongqi Liu, shifa liu
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An Augmented Lagrangian Preconditioner for Navier–Stokes Equations With Runge–Kutta in Time
Numerical Linear Algebra with Applications, Volume 33, Issue 3, June 2026.ABSTRACT We consider an implicit Runge–Kutta method for the numerical time integration of the nonstationary incompressible Navier–Stokes equations. This yields a sequence of nonlinear problems to be solved for the stages of the Runge–Kutta method. The resulting nonlinear system of differential equations is discretized using a finite element method.
Santolo Leveque +2 more
wiley +1 more source
On the Computation of Tensor Functions under Tensor‐Tensor Multiplications with Linear Maps
Numerical Linear Algebra with Applications, Volume 33, Issue 3, June 2026.ABSTRACT In this paper, we study the computation of both algebraic and non‐algebraic tensor functions under the tensor‐tensor multiplication with linear maps. In the case of algebraic tensor functions, we prove that the asymptotic exponent of both the tensor‐tensor multiplication and the tensor polynomial evaluation problem under this multiplication is
Jeong‐Hoon Ju, Susana López‐Moreno
wiley +1 more source