Results 51 to 60 of about 14,101,579 (209)
IEEE Transactions on Reliability, 2014 Many engineering systems can perform their intended tasks with various levels of performance, which are modeled as multi-state systems (MSS) for system availability and reliability assessment problems. Uncertainty is an unavoidable factor in MSS modeling,
Yanfu Li, Yi Ding, E. Zio
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On Quaternion Gaussian Bronze Fibonacci Numbers
Annales Mathematicae Silesianae, 2022 In the present work, a new sequence of quaternions related to the Gaussian Bronze numbers is defined and studied. Binet’s formula, generating function and certain properties and identities are provided.
Catarino Paula, Ricardo Sandra
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On a completed generating function of locally harmonic Maass forms [PDF]
Compositio Mathematica, 2012 While investigating the Doi–Naganuma lift, Zagier defined integral weight cusp forms $f_D$ which are naturally defined in terms of binary quadratic forms of discriminant $D$.
K. Bringmann, B. Kane, S. Zwegers
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Axioms, 2022 In this paper, by introducing degenerate Fubini-type polynomials, with the help of the Faà di Bruno formula and some properties of partial Bell polynomials, the authors provide several new explicit formulas and recurrence relations for Fubini-type ...
Siqintuya Jin +2 more
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Exponentiation for products of Wilson lines within the generating function approach
, 2015 A bstractWe present the generating function approach to the perturbative exponentiation of correlators of a product of Wilson lines and loops. The exponentiated expression is presented in closed form as an algebraic function of correlators of known ...
A. Vladimirov
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Generating Function for Projected Entangled-Pair States
PRX QuantumDiagrammatic summation is a common bottleneck in modern applications of projected entangled-pair states, especially in computing low-energy excitations of a two-dimensional quantum many-body system.
Wei-Lin Tu +5 more
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Reciprocal Formulae among Pell and Lucas Polynomials
Mathematics, 2022 Motivated by a problem proposed by Seiffert a quarter of century ago, we explicitly evaluate binomial sums with Pell and Lucas polynomials as weight functions.
Mei Bai, Wenchang Chu, Dongwei Guo
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Thermodynamic formula for the cumulant generating function of time-averaged current. [PDF]
Physical review. E, Statistical, nonlinear, and soft matter physics, 2011 The cumulant generating function of time-averaged current is studied from an operational viewpoint. Specifically, for interacting Brownian particles under nonequilibrium conditions, we show that the first derivative of the cumulant generating function is
T. Nemoto, S. Sasa
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Singularity analysis via the iterated kernel method [PDF]
Discrete Mathematics & Theoretical Computer Science, 2013 We provide exact and asymptotic counting formulas for five singular lattice path models in the quarter plane. Furthermore, we prove that these models have a non D-finite generating function.
Stephen Melczer, Marni Mishna
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Short-term reliability evaluation for power stations by using
Journal of Modern Power Systems and Clean Energy, 2013 A short-term reliability evaluation is used for power stations, where each power generating unit is presented by a multi-state Markov model. The main obstacle for reliability evaluation in such a case is a “curse of dimensionality”—a
Anatoly Lisnianski, Hanoch Ben Haim
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