khoy, one of the major cities in the west azarbaijan province is known for its nature, military, border positions, proximity to the silk road, including many different cultures and overall is one of the important settlements in the area. this essay investigates khoy city’s expansion, from early islam until late qajar (fourth - fourteenth century) according to historical documents. this article ...

using the usual definitions of information and entropy in quantum gravity and statistical mechanics and the existing views about the relation between information and complexity, we examine the evolution of complexity in an ever expanding universe.

in this paper, the bernstein polynomials are used to approximate the solutions of linear integral equations with multiple time lags (iemtl) through expansion methods (collocation method, partition method, galerkin method). the method is discussed in detail and illustrated by solving some numerical examples. comparison between the exact and approximated results obtained from these methods is...

in recent years, significant research efforts have been devoted to the optimal planning of power systems. substation expansion planning (sep) as a sub-system of power system planning consists of finding the most economical solution with the optimal location and size of future substations and/or feeders to meet the future demand. the large number of design variables, and combination of discrete ...

We studied the effects of query expansion and query structure on retrieval performance. Two sets of words frequent in relevant documents for Genomics Track’s training topics were collected, the first manually and the second automatically. The high frequency words collected and the names of organisms designated in the test topics, were used as expansion keys in gene name queries formed from the ...

In the past decade a lot of work has been done on the subject of multivariate Pad6 approximation theory and so it would be interesting to compare some different definitions. Let us first take a look at the univariate case. It is well known that univariate Pad6 approximants can be obtained in several equivalent ways and that they satisfy some typical properties. We will briefly repeat the defini...

Query expansion is the process of adding additional relevant terms to the original queries to improve the performance of information retrieval systems. However, previous studies showed that automatic query expansion using WordNet do not lead to an improvement in the performance. One of the main challenges of query expansion is the selection of appropriate terms. In this paper, the authors revie...

Abstract In this paper, we give the series expansion for the stationary probabilities πn of the queue length of an M/D/1 queue based on analytic properties of the probability generating function π(z). We determine the poles and their associated residues of π(z), then give the partial fraction expansion of π(z). The series expansion of πn are given by the poles and residues. We also give an uppe...