Results 21 to 30 of about 2,640,083 (343)
A Lyndon’s identity theorem for one-relator monoids [PDF]
Selecta Mathematica, 2019 For every one-relator monoid M=⟨A∣u=v⟩\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt ...
R. Gray, B. Steinberg
semanticscholar +1 more source
The identity theorem for analytic functions
Journal of Mathematical Analysis and Applications, 1974 A. Abian
semanticscholar +2 more sources
Covariant phase space and soft factorization in non-Abelian gauge theories
Journal of High Energy Physics, 2021 We perform a careful study of the infrared sector of massless non-abelian gauge theories in four-dimensional Minkowski spacetime using the covariant phase space formalism, taking into account the boundary contributions arising from the gauge sector of ...
Temple He, Prahar Mitra
doaj +1 more source
Kinematic Jacobi Identity is a Residue Theorem: Geometry of Color-Kinematics Duality for Gauge and Gravity Amplitudes. [PDF]
Physical Review Letters, 2019 We give a geometric interpretation of color-kinematics duality between tree-level scattering amplitudes of gauge and gravity theories. Using their representation as intersection numbers we show how to obtain Bern-Carrasco-Johansson numerators in a ...
Sebastian Mizera
semanticscholar +1 more source
Toward the nonequilibrium thermodynamic analog of complexity and the Jarzynski identity
Journal of High Energy Physics, 2022 The Jarzynski identity can describe small-scale nonequilibrium systems through stochastic thermodynamics. The identity considers fluctuating trajectories in a phase space. The complexity geometry frames the discussions on quantum computational complexity
Chen Bai, Wen-Hao Li, Xian-Hui Ge
doaj +1 more source
Complex binomial theorem and pentagon identities [PDF]
21 pp., minor corrections, references ...
N. M. Belousov +2 more
openalex +3 more sources
Polynomial identities implying Capparelli's partition theorems [PDF]
Journal of Number Theory, 2019 We propose and recursively prove polynomial identities which imply Capparelli's partition theorems. We also find perfect companions to the results of Andrews, and Alladi, Andrews and Gordon involving $q$-trinomial coefficients. We follow Kurşungöz's ideas to provide direct combinatorial interpretations of some of our expressions.
Alexander Berkovich, Ali Kemal Uncu
openaire +2 more sources
A Kronecker-type identity and the representations of a number as a sum of three squares [PDF]
, 2017 By considering a limiting case of a Kronecker-type identity, we obtain an identity found by both Andrews and Crandall. We then use the Andrews-Crandall identity to give a new proof of a formula of Gauss for the representations of a number as a sum of ...
Mortenson, E.
core +3 more sources
A note on primes of the form a2 + 1 [PDF]
, 2007 In this note I prove using an algebraic identity and Wilson's ...
Gonzalez, Juan Lopez
core +1 more source
A geometric identity for Pappus' theorem. [PDF]
Proceedings of the National Academy of Sciences, 1994 An expression in the exterior algebra of a Peano space yielding Pappus' theorem was originally given by Doubilet, Rota, and Stein [Doubilet, P., Rota, G.-C. & Stein, J. (1974) Stud. Appl. Math. 8, 185-216]. Motivated by an identity of Rota, I give an identity in a Grassmann-Cayley algebra of step 3, involving joins and meets alone, which expresses ...
openaire +4 more sources