Abstract The set of visited sites and the number are two basic properties random walk trajectory. We consider independent walks on hyper-cubic lattices study ordering probabilities associated with these characteristics. first is probability that during time interval (0, t ), by a walker never exceeds another walker. second remain subset Using numerical simulations, we investigate leading asympt...

Results of electro-thermo-elastic analysis of a functionally graded thick-walled spherical shell made of temperature dependent materials are presented in this article. All material properties are assumed temperature-dependent and also are graded along the thickness direction based on power function. Temperature dependency is accounted for all material properties including, thermal, mechanical a...

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abstract saturated hydraulic conductivity (ks) is one of the most important physical properties of soils which is expensive and time-consuming to directly measure. hence, indirect methods, such as pedotransfer functions (ptfs), were developed to predict the ks. previous studies showed that most of the ptfs common in the literature can not suitably predict the ks. hence, this study was conducted...

Given an i.i.d. sequence of n letters from a finite alphabet, we consider the length of the longest run of any letter. In the equiprobable case, results for this run turn out to be closely related to the well-known results for the longest run of a given letter. For coin-tossing, tail probabilities are compared for both kinds of runs via Poisson approximation.