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The algorithm for calculating natural neighbour co-ordinates and their derivatives based on Lasserre's algorithm for the volume of a convex polyhedron was derived and the generalized flowchart for NEM in 3D case was presented.

文中推导了基于 Lasserre凸多面体体积公式的三维自然邻结点坐标及其导数的算法，给出了三维自然单元法算法的流程图。

In chapter three, we prove that there exist solutions to the Ky Fan variation inequality, as the set-valued mappings are defined on spheres in infinite dimensional Banach spaces or odd dimensional Euclidean spaces, following from these theorems, we obtain some fixed point theorems for set-valued mappings defined on a sphere. When G is an approximate compact convex subset of E, or G is a almost quasi-convex set-valued mapping, we prove that there exist solutions to and type generalized Ky Fan variation inequality, following these theorems, we prove several best approximation theorems and coincidence theorems involving two set-valued mappings and two different spaces. In chapter four, we first present a new Simplicial algorithm for computing the Leray - Schauder fixed points, the algorithm can solve the set-valued nonlinear complementarily problem. We give a condition to guarantee the computation proceeding in a bounded region. We present integer-labeling algorithms for computing fixed points of some set-valued mappings, the best approximation points and solutions to a kind of set-valued variation inequalities.

第四章给出了计算定义在非凸集上的非自映射的Leray-Schauder不动点的算法，而现有的不动点算法都是计算凸集的上半连续集值自映射的不动点；给出了保证计算有界的一个充分条件，我们的条件大大弱于Mdrrill条件，我们的算法也可用来计算Eaves不动点；给出了集值非线性互补问题存在解的一个充分条件，此时可利用Leray-Schauder不动点算法来求解；向量标号算法以往是计算集值映射不动点的唯一有效算法，我们给出用整数标号算法计算一类集值映射的Kakutani 不动点的算法；定义在紧凸集上的连续映射不一定有不动点，但一定有最近点，最近点是不动点概念的推广，我们给出了计算最近点的算法；集值映射变分不等式尚无有效的求解算法，我们给出求解一类集值映射变分不等式的算法。

In this paper, we mainly make fruther research about two classes of generalized convex functions.

本文主要对两类广义凸函数做了进一步的研究。

Therefore, the research on convexity and generalized convexity is one of the most important aspects in mathematical programming.

因此，对凸函数和广义凸函数的研究是数学规划中最重要的内容之一。

Convexity and generalized convexity play a central role in mathematical economics, engineering, management science, and optimization theory.

凸性和广义凸性在数理经济、工程、管理科学以及在最优化理论中起着非常重要的作用。

This paper proposes the generalized design method for the perfect reconstruction filter banks in the FRFD based on the FRFD analysis of sampling rate conversion and the fractional convolution theorem, which are the basis of the applications of filter bank theory in the FRFD.

本文从分数阶傅里叶域多抽样率信号处理基本理论和分数阶卷积定理出发，推导出了分数阶傅里叶域准确重建滤波器组的一般化设计方法，为分数阶傅里叶域滤波器组理论在实际工程中的推广应用奠定了理论基础。

For every buttress a generalized coordinate and a shape function are assigned to describe its lateral displacement.

为了描述各支墩的侧向变位，对每个支墩都设定一个广义坐标和形状函数。

The numerical results indicate that the generalized Dirichlet distribution should be a reasonable prior, and the computation in forecasting coproduct output is relatively straightforward with respect to the approximation approach.

本研究所採用的贝氏统计分析方式，对於预测生產量的计算，比求近似解的方法简单，可计算变数二阶以上的动率，而且在使用的时机上较不受限制。

In order to complete generalized correlation coefficient theory system,provide the whole theory system for operator.

完善广义相关系数理论体系，为实际工作提供一套完整的理论体系。

This paper discusses one classification method of differential protection based on the correspondence between the principle and variable of the generalized differentiation method .

基于广义求差法的原理和变量对应关系，探讨了差动保护的一种分类方法。

In this new architectural plan the Garden of Golgotha came to be at the centre of the new city.

Aelia 是高举他自己，并在此城内朝拜罗马诸神。

The continuous nature of peat accumulation means that terrestrial coaly rocks may provide a higher resolution and more complete record of base-level change than the time-equivalent shallow-marine strata, thus enabling the identification of highfrequency cycles that are not recorded in themarine strata.

泥炭积累的持续性质的手段，陆地coaly岩石可提供较高的分辨率和更完整的记录基准面变化的影响时，相当于浅海阶层，从而使确定的高频周期，不记录在themarine 阶层。