Results 31 to 40 of about 94,783 (262)
Algebraic, order, and analytic properties of Tracy-Singh sums for Hilbert space operators [PDF]
Songklanakarin Journal of Science and Technology (SJST), 2019 We introduce the Tracy-Singh sum for operators on a Hilbert space, generalizing both the Tracy-Singh sum for matrices and the tensor sum for operators. The Tracy-Singh sum is shown to be compatible with algebraic operations and order relations. Then we
Arnon Ploymukda, Pattrawut Chansangiam
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Spectrum of the hypereclectic spin chain and Pólya counting
Physics Letters B, 2022 In earlier work we proposed a generating function that encodes the Jordan block spectrum of the integrable Hypereclectic spin chain, related to the one-loop dilatation operator of the dynamical fishnet quantum field theory.
Changrim Ahn, Matthias Staudacher
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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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Khatri-Rao sums for Hilbert space operators [PDF]
Songklanakarin Journal of Science and Technology (SJST), 2018 We generalize the notions of Khatri-Rao sums for matrices and tensor sums for Hilbert space operators to KhatriRao sums for Hilbert space operators. This kind of operator sum is compatible with algebraic operations and order relations.
Arnon Ploymukda, Pattrawut Chansangiam
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Mathematics, 2023 In this article, we define q-cosine and q-sine Apostol-type Frobenius–Euler polynomials and derive interesting relations. We also obtain new properties by making use of power series expansions of q-trigonometric functions, properties of q-exponential ...
Yongsheng Rao +3 more
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A refinement of the binomial distribution using the quantum binomial theorem [PDF]
Communications in Statistics - Theory and Methods, 2021 16 pages. This version: Title changed. Abstract modified. Additional related results included.
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Some properties of binomial coefficients and their application to growth modelling
Arab Journal of Basic and Applied Sciences, 2018 Some properties of diagonal binomial coefficients were studied in respect to frequency of their units’ digits. An approach was formulated that led to the use of difference tables to predict if certain units’ digits can appear in the values of binomial ...
Vladimir L. Gavrikov
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Characterizations of Mersenne and 2-rooted primes [PDF]
, 2015 We give several characterizations of Mersenne primes (Theorem 1.1) and of primes for which 2 is a primitive root (Theorem 1.2). These characterizations involve group algebras, circulant matrices, binomial coefficients, and bipartite graphs.Comment: 19 ...
Chebolu, Sunil K. +2 more
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Lagrange's Theorem for Hopf Monoids in Species [PDF]
Discrete Mathematics & Theoretical Computer Science, 2011 We prove Lagrange's theorem for Hopf monoids in the category of connected species. We deduce necessary conditions for a given subspecies $\textrm{k}$ of a Hopf monoid $\textrm{h}$ to be a Hopf submonoid: each of the generating series of $\textrm{k}$ must
Marcelo Aguiar, Aaron Lauve
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Bounds for the Rate of Convergence in the Generalized Rényi Theorem
Mathematics, 2022 In the paper, an overview is presented of the results on the convergence rate bounds in limit theorems concerning geometric random sums and their generalizations to mixed Poisson random sums, including the case where the mixing law is itself a mixed ...
Victor Korolev
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