Results 31 to 40 of about 2,582,876 (339)
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
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.
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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
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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 ...
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A Theorem on the Annamalai’s Binomial Identities
SSRN Electronic Journal, 2022 This paper presents an algorithmic technique to establish a theorem on the Annamalai’s binomial identities. The binomial theorem and its computing technique refer to a sort of methodological advances that is useful for researchers working in computation, science, engineering, and management.
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BMS supertranslations and Weinberg’s soft graviton theorem [PDF]
Journal of High Energy Physics, 2014 Recently it was conjectured that a certain infinite-dimensional “diagonal” subgroup of BMS supertranslations acting on past and future null infinity ( and ) is an exact symmetry of the quantum gravity S-matrix, and an associated Ward identity was derived.
T. He, V. Lysov, P. Mitra, A. Strominger
semanticscholar +1 more source
Bounded Approximate Identities in Ternary Banach Algebras
Abstract and Applied Analysis, 2012 Let A be a ternary Banach algebra. We prove that if A has a left-bounded approximating set, then A has a left-bounded approximate identity. Moreover, we show that if A has bounded left and right approximate identities, then A has a bounded approximate ...
Madjid Eshaghi Gordji +2 more
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A new four parameter q-series identity and its partition implications [PDF]
, 2002 We prove a new four parameter q-hypergeometric series identity from which the three parameter key identity for the Goellnitz theorem due to Alladi, Andrews, and Gordon, follows as a special case by setting one of the parameters equal to 0.
Alladi, Krishnaswami +2 more
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Partition Identities and a Theorem of Zagier
Journal of Combinatorial Theory, Series A, 2002 An infinite family of partition identities generalizing the well-known Eisenstien series identity \[ \sum_{\lambda=1 \atop \lambda \text{odd}}^{\infty} {(-1)^{(\lambda-1)/2} q^{\lambda} \over 1-q^{2\lambda}} =q \prod_{n=1}^{\infty} {(1-q^{8n})^4 \over (1-q^{4n})^2} \] is proven.
Jayce R. Getz, Karl Mahlburg
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