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The widespread relevance of increasingly complex networks requires methods to extract mean- ingful coarse-grained representations of such systems. For undirected graphs, standard community detection ...
Asymptotic properties of solutions of odd-order nonlinear dispersion equations are studied. The global in time similarity solutions, which lead to eigenfunctions of the rescaled ODEs, are constructed....
Necessary and sufficient conditions for two n-by-n unicellular complex matrices to be unitarily equivalent are established.
Each square complex matrix is unitarily similar to an upper triangular matrix with diagonal entries in any prescribed order. Let A and B be upper triangular n-by-n matrices that (i) are not similar to...
We define a new type of self-similarity for one-parameter families of stochastic processes, which applies to a number of important families of processes that are not self-similar in the conventional...
Extended Self-Similarity (ESS), a procedure that remarkably extends the range of scaling for structure functions in Navier--Stokes turbulence and thus allows improved determination of intermittency ex...
In this paper, we firstly study the classical Lie symmetries of the Benjamin-Bona-Mahony (BBM) equation which is obtained through the Lie group method of infinitesimal transformations. Secondly using ...
This short note focuses on the relation between fractional differentiability, self-similarity and the Mittag-Leffler function, and tries to clarify the origin and the very reason for introducing fract...
This paper presents a study of the two-dimensional boundary layer flows of viscoelastic second grade fluid over a stretching sheet by the similarity method. Exploiting that some features of free-param...
专著信息 书名 Relation between weight matrix and substitution matrix: Motif search by similarity. 语种 英文 撰写或编译 作者 Wei-Mou Zheng.郑伟谋 第一作者单位 出版社 Bioinformatics, 2004 (in press) 出版地 出版日期 2004年 月 日 标准书号 介质类型 页数 ...
In this paper, we discuss the large–time behavior of solution of a simple kinetic model of Boltzmann–Maxwell type, such that the temperature is time decreasing and/or time increasing.
The result from developing and applying the notions of functional self-similarity and the Bogoliubov renormalization group to boundary-value problems in mathematical physics during the last decade are...
We analyse a generalised Gross-Pitaevskii equation involving a paraboloidal trap potential in $D$ space dimensions and generalised to a nonlinearity of order $2n+1$. For {\em attractive} coupling con...

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