Results 21 to 30 of about 164,093 (140)
A study on black-body radiation: classical and binary photons [PDF]
, 2006 The present study gives a detailed analysis of the black-body radiation based on classical random variables. It is shown that the energy of a mode of a chaotic radiation field (Gauss variable) can be uniquely decomposed into a sum of a discrete variable (
Varro, Sandor
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On conformal field theories at fractional levels [PDF]
, 1998 For each lattice one can define a free boson theory propagating on the corresponding torus. We give an alternative definition where one employs any automorphism of the group $M^*/M$. This gives a wealth of conformal data, which we realize as some bosonic
Dixon +6 more
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On a new class of summation formulae involving the Laguerre polynomial [PDF]
, 2012 By elementary manipulation of series, a general transformation involving the generalized hypergeometric function is established. Kummer’s first theorem, the classical Gauss summation theorem and the generalized Kummer summation theorem due to Lavoie et ...
Kim, Yong S. +2 more
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Miniscule representations, Gauss sum and modular invariance [PDF]
, 2007 After explaining the concepts of Langlands dual and miniscule representations, we define an analog of the Gauss sum for any compact, simple Lie group with a simply laced Lie algebra.
Wu, Siye
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, 2011 We propose three implementations of the Gauss sum factorization schemes discussed in part I of this series: (i) a two-photon transition in a multi-level ladder system induced by a chirped laser pulse, (ii) a chirped one-photon transition in a two-level ...
Averbukh, I. Sh. +5 more
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Tokyo Journal of Mathematics, 2012 Let \(p > 2\) be a prime number, \(\mathbb F_p\) the prime finite field with \(p\) elements, \(\mathbb F^*_p\) its multiplicative cyclic group of order \(p-1\) and \(i = \sqrt{-1}\). The classical Gauss sum \(g_p\) is given by \[ \tau_p= \sum_{x \in \mathbb F^*_p} \left( \frac{x}{p} \right) e^{2 { \pi}i x/p}, \] where \( \left( \frac{x}{p} \right)\) is
GOMI, Yasushi +2 more
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The Weil representation and Gauss sums [PDF]
Pacific Journal of Mathematics, 1996 We use the Weil representation to evaluate certain Gauss sums over a local field, up to \(\pm 1\). Also we construct a cocycle on \(\text{Sp} (2m, \mathbb{R})\) with a simple formula on the maximal compact torus and we show how to lift homomorphisms \(j: \text{Sp} (2n, \mathbb{R})\to \text{Sp} (2m, \mathbb{R})\) to the double covers of these groups.
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Thick Braneworlds and the Gibbons-Kallosh-Linde No-go Theorem in the Gauss-Bonnet Framework
, 2015 The sum rules related to thick braneworlds are constructed, in order to encompass Gauss-Bonnet terms. The generation of thick branes is hence proposed in a periodic extra dimension scenario, what circumvents the Gibbons-Kallosh-Linde no-go theorem in ...
da Rocha, Roldao +2 more
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Zero bias transformation and asymptotic expansions II : the Poisson case [PDF]
, 2009 We apply a discrete version of the methodology in \cite{gauss} to obtain a recursive asymptotic expansion for $\esp[h(W)]$ in terms of Poisson expectations, where $W$ is a sum of independent integer-valued random variables and $h$ is a polynomially ...
Jiao, Ying
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, 2018 Bayesian variable selection regression (BVSR) is able to jointly analyze genome-wide genetic datasets, but the slow computation via Markov chain Monte Carlo (MCMC) hampered its wide-spread usage.
Guan, Yongtao, Zhou, Quan
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