多重混料系统及其最优设计

本文主要讨论了多重混料系统上Scheff\'{e}模型的最优设计问题. 在本文中, 提出并证明了一个基于单纯形和正定二次型的不等式, 并应用这个不等式解决了多重混料系统上多项式模型的$D$-最优和$A$-最优设计的结构问题, 找到了一个构造最优设计的新方法.     

混料模型的混合最优设计

最优设计是试验设计中必不可少的一种设计方法,混合最优设计是二步最优设计中一种常见的应用。本文以混料模型为基础,提出一种新的寻求混合最优设计的方法,并以此方法解决了混料模型的混合最优设计问题。     

均衡稳健性与有效性的设计

均匀设计和最优设计是两类重要的设计类型,各有优缺点.本文考虑门限接受法构造多维的确定性D-最优设计,然后结合均匀设计与D-最优设计而给出一种构造设计的方法,模拟结果显示该构造方法所构造的设计可以有效地均衡稳健性和有效性.     

变参数随机服务系统最优设计

利用排队理论，建立了一个到达率递增、服务率不变、服务台数量递减的变参数随机服务系统最优设计模型。给出了满足投资有限，在一定时期内设备使用率和用户服务质量满足给定的要求，使用寿命达到设计的服务系统最优设计方案。     

结构最优设计(二)(应用数学规划法)

如果在实际问题里,所列出的约束条件或目标函数为非线性时,求解最优设计方案的数学方法,就称为非线性规划法.在结构最优设计的问题里,特别是在弹性设计中,目标函数以及约束条件的一部分或全部,往往包含变量 x 的非线性函数,因此要用到这种方法.解决非线性规划问题的方法颇多,其中常用者,有线性逼近法(SLP)、无约束最小化逼近法(SUMT)等等.     

一类复杂水资源系统最优化问题的随机方法分析

对一类复杂水资源系统的最优化规划问题 ,在考虑天然来水这一随因素影响的情况下如何进行运行分析是十分重要的 ,文中对多个变量的非线性规划数学模型 ,运用随机分析方法得到了最优设计方案 ,具有现实意义 .     

最优设计

随着优选法群众性的推广和应用的深人,以及我国电子计算技术的迅速发展,一些单位已将优选法和其它最优化方法应用到工程设计和科学研究工作中(简称最优设计).最近两、三年,最优设计在我国日益受到重视,应用范围日益增多,同时使用的方法也有改进和发展.特别是有不少最优设计问题的解决是和电子计算机的使用分不开的.利用电子计算机来进行数字的试验,可以使得有些实物试验次数减少,设计周期缩短.这对于不可     

基于形状优化框架下的Steklov特征值问题研究

<正>1引言特征值问题在应用数学分支和工程中,尤其是在最优设计问题中,有很多的应用,所以特征值问题的最优化已经有了较为深入的研究,见在我们的研究当中,最优设计问题常常以一种指定载荷的设计下、能量的极小化问题的形式出现.在大多数关于最优设计的文章里面,我们更重视在一个固定载荷下条件下结构的最     

YEI型小功率电源变压器的最优设计

本文通过对YEI型小功率电源变压器工作原理和结构设计的分析,提出了以平均工作温度75℃为主要依据的结构设计方案,继而建立了一个非线性规划模型来解决其最优设计问题.一、引言YEI小功率电源变压器作为一种电磁元件,广泛地应用于电视机、收录机、扩音机及众     

两变量随机截距模型的最优设计

本文考虑两变量随机截距模型在单位正方形设计域上的D-,G-,A-,Ds-和I-最优设计.证明了最优设计在设计区域的顶点处获得,得到了几类不依赖于随机截距项的最优设计模拟结果表明最优设计较随机设计可大幅提高参数估计的精确性.     

A reliability assessment tool for distributed software development environment based on Java and J/Link

In this paper, we propose a software reliability assessment tool based on software reliability growth models for distributed development environment by using Java programming language and J/Link technology in Mathematica. Java is an object-oriented and platform-free programming language which has several advantages such as modularization and reusability of the existing code. Especially J/Link can use and control the Mathematica kernel from a Java program. By using this J/Link technology, we can reduce some efforts to develop the tool because of reusing the existing Mathematica code used for the research. Our tool proposed here is useful for software developers in terms of the management of the system-testing process in distributed development environment.     

Familiarizing Students with Definition of Lebesgue Integral: Examples of Calculation Directly from Its Definition Using Mathematica

We present in this paper several examples of Lebesgue integral calculated directly from its definitions using Mathematica. Calculation of Riemann integrals directly from its definitions for some elementary functions is standard in higher mathematics education. But it is difficult to find analogical examples for Lebesgue integral in the available literature. The paper contains Mathematica codes which we prepared to calculate symbolically Lebesgue sums and limits of sums. We also visualize the graphs of simple functions used for approximation of the integrals. We also show how to calculate the needed sums and limits by hand (without CAS). We compare our calculations in Mathematica with calculations in some other CAS programs such as wxMaxima, MuPAD and Sage for the same integrals.     

A Study of Tate Homology via the Approximation Theory with Applications to the Depth Formula

Acta Mathematica Sinica, English Series - In this paper we are concerned with absolute, relative and Tate Tor modules. In the first part of the paper we generalize a result of Avramov and...     

Approximating Nash Equilibrium for Optimal Consumption in Stochastic Growth Model with Jumps

Acta Mathematica Sinica, English Series - In this paper, we study a class of dynamic games consisting of finite agents under a stochastic growth model with jumps. The jump process in the dynamics...     

From biased coin to any discrete distribution

Periodica Mathematica Hungarica - In this note we construct an algorithm generating any discrete distribution with an arbitrary coin (and, as a result, with arbitrary initial distribution). The...     

On Li–Yau Heat Kernel Estimate

We present some improvements of the Li–Yau heat kernel estimate on a Riemannian manifold with Ricci curvature bounded below. As a consequence we prove a gradient estimate to the heat kernel with an optimal leading term.     

The Periodicity on a Transcendental Entire Function with its Differential Polynomials

Analysis Mathematica - We discuss the relationship on the periodicity of a transcendental entire function with its differential polynomials. For example, we obtain that if f is a transcendental...     

Dimension prints for continuous functions on the unit square

Acta Mathematica Hungarica - Recently, we have proved that the rectangular pointwise Lipschitz regularity of a continuous function on the unit square is directly related with the local suprema of...     

New relation formula for generating functions

Periodica Mathematica Hungarica - In this paper, we develop a new relation between certain types of generating functions using formal algorithmic methods. As an application, we give a relation...     

Normal forms for rank two linear irregular differential equations and moduli spaces

Periodica Mathematica Hungarica - We provide a unique normal form for rank two irregular connections on the Riemann sphere. In fact, we provide a birational model where we introduce apparent...