We give a criterion allowing to verify whether or not two tilted algebras have the same relation-extension (thus correspond to the same cluster-tilted algebra). This criterion is in terms of a combinatorial configuration in the Auslander-Reiten quiver of the cluster-tilted algebra, which we call local slice.

The tremendous advance in computer technology in the past decade has made it possible to achieve the performance of a supercomputer on a very small budget. We have built a multi-CPU cluster of Pentium PC capable of parallel computations using the Message Passing Interface (MPI). We will discuss the configuration, performance, and application of the cluster to our work in physics.

the main objective of this study was to investigate how months cluster in any thermal regions based on temperature. for this purpose, the mean of daily temperature data have been provided using 620 synoptic and climatology stations. then, mean temperature was converted for any station, based on solar calendar, and maps of mean daily temperature have been interpolated using kriging method. spati...

In this paper we study the thermodynamics of the one dimensional continuum analogue of the Falicov-Kimball model in the strongly correlated limit using a method developed by Salsburg, Zwanzig and Kirkwood for the Takahashi gas. In the ground state it is found that the f electrons form a cluster. The effect of including a Takahashi repulsion between f particles is also studied where it is found ...

This paper makes contributions in two areas. First, we introduce an extended approach of self-stabilization, called self-stabilization with service guarantee. A self-stabilizing system tolerates transient faults: it automatically recovers to a correct behavior after a stabilization period. However, during stabilization periods, no property on the system behavior is guaranteed. A self-stabilizin...

This paper parallelizes the spatial pyramid match kernel (SPK) implementation. SPK is one of the most usable kernel methods, along with support vector machine classifier, with high accuracy in object recognition. MATLAB parallel computing toolbox has been used to parallelize SPK. In this implementation, MATLAB Message Passing Interface (MPI) functions and features included in the toolbox help u...

The short answer to the question in title is “no”. We identify classes of truncated configuration interaction (CI) wave functions for which externally corrected coupled-cluster (ec-CC) approach using three-body (T3) and four-body (T4) components cluster operator extracted from CI does not improve results underlying calculations. Implications our analysis, illustrated by numerical examples, ec-C...