نتایج جستجو برای: cosine function

تعداد نتایج: 1223040  

1998
Oscar Bolina J. Rodrigo Parreira

We derive a McBryan-Spencer bound to the correlation function of a one-dimensional array of quantum rotators in the Villain approximation of the cosine interaction. We obtain the partition function of the system in the gas representation and establish a lower bound on the external charges correlation function. We also discuss the possible existence of a KosterlitzThouless phase for the quantum ...

Journal: :CoRR 2011
Jianqin Zhou

The discrete cosine transform (DCT), introduced by Ahmed, Natarajan and Rao, has been used in many applications of digital signal processing, data compression and information hiding. There are four types of the discrete cosine transform. In simulating the discrete cosine transform, we propose a generalized discrete cosine transform with three parameters, and prove its orthogonality for some new...

Journal: :Hacettepe journal of mathematics and statistics 2021

In this paper, we propose a new generalization of the Poisson distribution by using concept weighted distribution; trigonometric weight with cosine function is used. We derive some distributional properties distribution, such as cumulative function, moment generating factorial moments, and index dispersion. Then, related model considered for modeling purposes, estimation parameters performed vi...

Journal: :The Journal of the Acoustical Society of America 1968

2002
KULWINDER KAUR

The problem of L1-convergence of the Fourier cosine series (1.1) has been settled for various special classes of coefficients. Young [6] found that an logn= o(1), n→∞ is a necessary and sufficient condition for cosine series with convex (∆an ≥ 0) coefficients, and Kolmogorov [5] extended this result to the cosine series with quasi-convex ( ∑∞ n=1n|∆an−1| < ∞) coefficients. Later, Garrett and St...

1998
Osamu Watanabe

Abstract. We consider Linsker’s neural network model, in particular, development of oriented receptive fields of cells on layer G, and investigate which features in this model are crucial for the development. We assume that the correlation function is a Mexican-hat shape function while we introduce the arbor function explicitly and discuss its role in the development. We compute the Fourier tra...

2012
Jurjen J. Luykx Steven C. Bakker Eef Lentjes Marco P. M. Boks Nan van Geloven Marinus J. C. Eijkemans Esther Janson Eric Strengman Anne M. de Lepper Herman Westenberg Kai E. Klopper Hendrik J. Hoorn Harry P. M. M. Gelissen Julian Jordan Noortje M. Tolenaar Eric P. A. van Dongen Bregt Michel Lucija Abramovic Steve Horvath Teus Kappen Peter Bruins Peter Keijzers Paul Borgdorff Roel A. Ophoff René S. Kahn

BACKGROUND Animal studies have revealed seasonal patterns in cerebrospinal fluid (CSF) monoamine (MA) turnover. In humans, no study had systematically assessed seasonal patterns in CSF MA turnover in a large set of healthy adults. METHODOLOGY/PRINCIPAL FINDINGS Standardized amounts of CSF were prospectively collected from 223 healthy individuals undergoing spinal anesthesia for minor surgical...

2014
Zhihua Zhang

Based on our decomposition of stochastic processes and our asymptotic representations of Fourier cosine coefficients, we deduce an asymptotic formula of approximation errors of hyperbolic cross truncations for bivariate stochastic Fourier cosine series. Moreover we propose a kind of Fourier cosine expansions with polynomials factors such that the corresponding Fourier cosine coefficients decay ...

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