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Multiple Diamond-Alpha Integral in General Form and Their Properties, Applications
Mathematics, 2021 In this paper, we introduce the concept of n-dimensional Diamond-Alpha integral on time scales. In particular, it transforms into multiple Delta, Nabla and mixed integrals by taking different values of alpha.
Zhong-Xuan Mao +4 more
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On fractional order multiple integral transforms technique to handle three dimensional heat equation
Boundary Value Problems, 2022 In this article, we extend the notion of double Laplace transformation to triple and fourth order. We first develop theory for the extended Laplace transformations and then exploit it for analytical solution of fractional order partial differential ...
Tahir Khan +4 more
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RF and microwave photonic temporal signal processing with Kerr micro-combs
Advances in Physics: X, 2021 Integrated Kerr micro-combs are a powerful source of multiple wavelength channels for photonic radio frequency (RF) and microwave signal processing, particularly for transversal filter systems. They offer significant advantages featuring a compact device
Mengxi Tan +5 more
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Towards Distributed Lexicographically Fair Resource Allocation with an Indivisible Constraint
Mathematics, 2022 In the cloud computing and big data era, data analysis jobs are usually executed over geo-distributed data centers to make use of data locality. When there are not enough resources to fully meet the demands of all the jobs, allocating resources fairly ...
Chuanyou Li +3 more
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Physical Review Accelerators and Beams, 2021 This paper continues the work of two previous treatments of bunch lengthening by a passive harmonic cavity in an electron storage ring. Such cavities, intended to reduce the effect of Touschek scattering, are a feature of fourth generation synchrotron ...
Robert Warnock
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The art of composing: between autonomy and heteronomy
Techne, 2021 «Music conveys different meanings to everyone, and sometimes, it can even communicate different things at different times to the same person», Daniel Barenboim once said. This is tantamount to saying that music is influenced by the context in which it is
Cristina Frosini
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Transient response of coplanar interfacial cracks between two dissimilar piezoelectric strips under anti-plane mechanical and in-plane electrical impacts [PDF]
, 2003 The dynamic response of multiple coplanar interface cracks between two dissimilar piezoelectric strips subjected to mechanical and electrical impacts is investigated. Solutions to two kinds of electric boundary conditions on crack surfaces, i.e. electric
Feng, W, Liu, J, Su, RKL, Zou, Z
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MULTIPLE FOURIER SERIES AND FOURIER INTEGRALS WITH NON-SEPARABLE VARIABLES
Известия высших учебных заведений. Поволжский регион: Физико-математические науки, 2020 Background. Integral transforms for functions of several variables are an actively developing area of mathematical analysis. Numerous applications in integral transforms method for solving equations of mathematical physics, in signal processing of ...
O. E. Yaremko +2 more
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Iterated Binomial Sums and their Associated Iterated Integrals [PDF]
, 2014 We consider finite iterated generalized harmonic sums weighted by the binomial $\binom{2k}{k}$ in numerators and denominators. A large class of these functions emerges in the calculation of massive Feynman diagrams with local operator insertions starting
't Hooft G. +20 more
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Progress in Earth and Planetary Science, 2020 At 1:47 a.m. on September 21, 1999, the Mw 7.5 Chi-Chi earthquake struck Taiwan. The purpose of this study is to (1) apply multiple spatiotemporal-frequency analysis to filter the post-seismic change in groundwater head to explore the implicit drawdown ...
Chien-Lin Huang +3 more
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