Results 21 to 30 of about 932,641 (268)
A series of coverings of the regular n-gon
, 2011 We define an infinite series of translation coverings of Veech's double-n-gon for odd n greater or equal to 5 which share the same Veech group. Additionally we give an infinite series of translation coverings with constant Veech group of a regular n-gon ...
A. Zemlyakov +13 more
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Exact ZF Analysis and Computer-Algebra-Aided Evaluation in Rank-1 LoS Rician Fading [PDF]
, 2016 We study zero-forcing detection (ZF) for multiple-input/multiple-output (MIMO) spatial multiplexing under transmit-correlated Rician fading for an N_R X N_T channel matrix with rank-1 line-of-sight (LoS) component.
Akimichi Takemura +6 more
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AppliedMathTwo classes of series involving differences of harmonic numbers and the binomial coefficients C(3n,n) are evaluated in closed form. The classes under consideration are ∑k=0∞H3k+1−Hk(3k+1)3kkkmzkand∑k=0∞H2k−Hk(3k+1)3kkkmzk, where z is a complex number and
Kunle Adegoke, Robert Frontczak
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Infinite lattice models by an expansion with a non-Gaussian initial approximation
Physics Letters B, 2019 Recently, a convergent series employing a non-Gaussian initial approximation was constructed and shown to be an effective computational tool for the finite size lattice models with a polynomial interaction.
Aleksandr Ivanov, Vasily Sazonov
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Bivariate Infinite Series Solution of Kepler’s Equations
Mathematics, 2021 A class of bivariate infinite series solutions of the elliptic and hyperbolic Kepler equations is described, adding to the handful of 1-D series that have been found throughout the centuries.
Daniele Tommasini
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An Infinite Sequence of Additive Channels: the Classical Capacity of Cloning Channels
, 2013 We introduce an infinite sequence of quantum channels for which the Holevo capacity is additive. The channel series is closely related to the quantum channels arising from universal quantum cloning machines. The additivity proof is motivated by a special
Bradler, Kamil
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Convergence of the Magnus series [PDF]
, 2006 The Magnus series is an infinite series which arises in the study of linear ordinary differential equations. If the series converges, then the matrix exponential of the sum equals the fundamental solution of the differential equation.
A. Agračhev +21 more
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A new note on factored infinite series and trigonometric Fourier series
Comptes Rendus. Mathématique, 2021 In this paper, we have proved two main theorems under more weaker conditions dealing with absolute weighted arithmetic mean summability factors of infinite series and trigonometric Fourier series.
Bor, Hüseyin
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A Study of Singular Similarity Solutions to Laplace’s Equation with Dirichlet Boundary Conditions
AppliedMathThe infinite series solution to the boundary-value problems of Laplace’s equation with discontinuous Dirichlet boundary conditions was found by using the basic method of separation of variables.
Chao-Kang Feng, Jyh-Haw Tang
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Quantum Phase Transitions in Alternating-Bond Mixed Diamond Chains with Spins 1 and 1/2
, 2010 We investigate the mixed diamond chain composed of spins 1 and 1/2 when the exchange interaction is alternatingly distorted. Depending on the strengths of frustration and distortion, this system has various ground states. Each ground state consists of an
Bak +25 more
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