Predicting urban growth is important for practical reasons, and also for the challenge it presents to theoretical frameworks for cluster dynamics [1–3]. Recently, the model of diffusion limited aggregation (DLA) [4,5] has been applied to describe urban growth [1], and results in tree-like dendritic structures which have a core or “central business district” (CBD). The DLA model predicts that th...

A R T I C L E I N F O A B S T R A C T Article history: Received 25 March 2017 Received in revised form 27 March 2017 Accepted 29 March 2017 Available online 31 March 2017 In an era of data increasing at a proportion larger than ever, analysis of such data covering all businesses and sectors becomes all the more important. Data mining tasks, particularly clustering, aim at partitioning bulks of ...

This is a sequel to [30], which studies the prescribing scalar curvature problem on S". First we present some existence and compactness results for n = 4. The existence result extends that of Bahri and Coron [4], Benayed, Chen, Chtioui, and Hammami [6], and Zhang [39]. The compactness results are new and optimal. In addition, we give a counting formula of all solutions. This counting formula, t...

In the preceding paper [ l ] 2 Buck defines a class of "subsequences" of a multiple sequence and shows that "almost all" of such subsequences have certain properties. This note is essentially based on a different choice of the definition of "subsequences" ; that is, this paper and [ l ] are generalizations in different directions of a preceding paper by Buck and Pollard (reference 2 of [l ]). I...

We study luminosity and morphology segregation of cluster galaxies in an ensemble cluster built from 59 rich, nearby galaxy clusters observed in the ESO Nearby Cluster Survey (ENACS). The ensemble cluster contains 3056 member galaxies with positions, velocities and magnitudes ; 96% of these also have galaxy types. From positions and velocities we identify galaxies within substruc-tures, viz. as...

our purpose. This paper describes a method f o r anal y z i n g an input scene of a stack of indust r i a l parts i n order to recognize an obj e c t which is not obscured by others. Detecting a simple f a m i l i a r pattern such as an e l l i p s e in a set of strong feature points, an analyzer selects models of the machine parts from the a t t r i b u t e s of other feature points around the...

K e y w o r d s M o l e c u l a r dynamics, Parallel simulations, Lennard-Jones liquid, Cluster computing, Distributed computing, MPI, Atom Decomposition.