Nearest Neighbor (NN) searching is a challenging problem in data management and has been widely studied in data mining, pattern recognition and computational geometry. The goal of NN searching is efficiently reporting the nearest data to a given object as a query. In most of the studies both the data and query are assumed to be precise, however, due to the real applications of NN searching, suc...

It is intriguing that a solid containing ∼101 atoms of Ga or IV-A elements (C, Si, Ge, Sn, and Pb) melts at temperatures that are higher than the melting point of the corresponding bulk solid (Tm,b) though the Tm of a solid in the 100–2 nm size range drops universally with the sample size. Consistent insight into the phenomenon of Tm oscillation (suppression followed by elevation as the solid s...

The Lipschitz function algebras were first defined in the 1960s by some mathematicians, including Schubert. Initially, the Lipschitz real-value and complex-value functions are defined and quantitative properties of these algebras are investigated. Over time these algebras have been studied and generalized by many mathematicians such as Cao, Zhang, Xu, Weaver, and others. Let  be a non-emp...

A probabilistic inventory model for conditional credit period with exponential demand, non-zero lead time and multiple storage facility has been developed. The behaviour of total expected cost (TEC) has been examined and the use and application of the model is demonstrated with the help of a numerical example.

We prove that every two player non zero-sum stopping game in discrete time admits an -equilibrium in randomized strategies, for every > 0. We use a stochastic variation of Ramsey Theorem, which enables us to reduce the problem to that of studying properties of -equilibria in a simple class of stochastic games with finite state space.

Among the most significant problems that almost any blockchain faces are of increasing its throughput (i.e., number transactions per unit time) and problem a long waiting time before block confirmation. Thus, for example, in common BTC blockchain, according to various estimates, is from 3 7 tps (transactions second), average confirmation (block considered confirmed if it has at least 6 blocks o...