the aim of this study preparation of the predicted soil maps by using kriging and inverse distance weighting methods in east rangeland of semnan. sampling was done within each unit of sampling parallel transects and 1 vertical transect with 750m length. soil samples were taken from 0-20 cm in starting and ending points of each transect. there were used kriging and inverse distance weighting met...

Supplier selection is one the main concern in the context of supply chain networks by considering their global and competitive features. Resilient supplier selection as generally new idea has not been addressed properly in the literature under uncertain conditions. Therefore, in this paper, a new multi-criteria group decision-making (MCGDM) model is introduced with interval-valued fuzzy sets (I...

We introduce a framework to consider transport problems for integer-valued random variables. We introduce weighting coefficients which allow us to characterise transport problems in a gradient flow setting, and form the basis of our introduction of a discrete version of the Benamou–Brenier formula. Further, we use these coefficients to state a new form of weighted log-concavity. These results a...

The purpose of this paper is to show the capacity of a new non-parametric test based on symbolic entropy and symbolic dynamics to deal with the detection of linear and non-linear spatial causality. The good performance of the new test in detecting spatial causality and causal weighting matrix is notable and gives rise to an expectation that it may form a adequate tool for constructive specifica...

The correct representation of solute-water interactions is essential for the accurate simulation of most biological phenomena. Several highly accurate quantum methods are available to deal with solvation by using both implicit and explicit solvents. So far, however, most evaluations of those methods were based on a single conformation, which neglects solute entropy. Here, we present the first t...

In this paper, aiming to achieve the target of carbon emission orientation, a multi-objective optimization model multi-energy flow coupling system is proposed, in which all environmental protection, economy, and energy efficiency are comprehensively considered as addressed objectives. To solve developed model, by combining analytic hierarchy process (AHP) improved entropy weight method, so-call...

Using a numerical method based on sub-super solution, we will obtain positive solution to the coupled-system of boundary value problems of the form −∆u = λ1f(v) + μ1h(u) in Ω −∆v = λ2 g(u) + μ2γ(v) in Ω u = 0 = v on ∂Ω where −∆ is the Laplacian operator λ1, λ2, μ1, μ2 are nonnegative parameters, and Ω is a bounded region in Rn, with smooth boundary ∂Ω . We obtain numerically a large positive so...

Let (s2(n)) ∞ n=0 denote Stern’s diatomic sequence. For n > 2, we may view s2(n) as the number of partitions of n − 1 into powers of 2 with each part occurring at most twice. More generally, for integers b, n > 2, let sb(n) denote the number of partitions of n− 1 into powers of b with each part occurring at most b times. Using this combinatorial interpretation of the sequences sb(n), we use the...

This report is a summary of the theory underlying the Cross-Entropy (CE) method, as discussed in the tutorial by de Boer, Kroese, Mannor and Rubinstein [1]. For a more thorough discussion of the method and its applications, please refer to the original tutorial and the references cited in the tutorial. The CE method, pioneered by Rubinstein in 1997 as an adaptive algorithm for estimating probab...

The cross-entropy method is a recent versatile Monte Carlo technique. This article provides a brief introduction to the cross-entropy method and discusses how it can be used for rare-event probability estimation and for solving combinatorial, continuous, constrained and noisy optimization problems. A comprehensive list of references on cross-entropy methods and applications is included.