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In many practical experiments, both the level combinations of factors and the addition orders will affect the responses. However, virtually no construction methods have been provided for such experime...
In this paper, motivated by the idea from Courtois and Denuit et al.(2006), we derive extremal distribution for the discrete 5-convex stochastic ordering. As applications,We improve lower and upper bo...
Abstract: We develop an algorithm for computing the closure of a given nilpotent $G_0$-orbit in $\g_1$, where $\g_1$ and $G_0$ are coming from a $\Z$ or a $\Z/m\Z$-grading $\g= \bigoplus \g_i$ of a si...
Abstract: The Heisenberg ferromagnet has symmetry group ${\rm SU}(2)$. The property known as ferromagnetic ordering of energy levels (FOEL) states that the minimum energy eigenvalue among eigenvectors...
Small particles transported by a fluid medium do not necessarily have to follow the flow. We show that for a wide class of time-periodic incompressible flows inertial particles have a tendency to spon...
In this article we extend the computational geometric curve reconstruction approach to curves in Riemannian manifolds.We prove that the minimal spanning tree, given a sufficiently dense sample set of ...
In this paper we discuss the retailer’s ordering policy under two levels of delay payments by considering the selling price per item to be higher than the purchasing cost per item. The demand and sell...
In this research article, an ordering and pricing policy is formulated for a retailer when the supplier offers a delay in payments to settle the accounts against the retailer’s due. The problem is to ...
In many practical situations, we have a (partially) ordered set V of different values. For example, we may have the set of all possible values of temperature, or the set of all possible degrees of con...
This paper deals with the development of an inventory model for Weibull deteriorating items in quadratic demand market when delay in payments is allowed to the retailer to settle the account against t...
Consider the classical XY model in a weak random external field pointing along the Y axis with strength . We study the behavior of this model as the range of the interaction is varied. We prove that...
In this paper, a new Ritt-Wu's characteristic set method for ordinary di®erence systems is proposed, which is valid for any admissible ordering. New deˉnition for irreducible chains and new zero ...
The purpose of this paper is to study new stochastic comparisons based on the Laplace transform order of reversed residual life. Some basic properties of the new order are given. We also provide sever...
A new ordering method is proposed for automated theorem proving of differential geometry,by which Cartan's moving frame method can be combined with Wu's elimination principle.

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