几何的

So now it is a powerful theoretical formwork to explore and solve many complicated problems in natural science and engineering.

几何规划的应用几乎涉及自然科学和社会科学的各个领域，特别是许多工程设计中抽象出来的模型都是几何规划的形式，因此它己成为研究与解决自然科学与工程中许多复杂问题的一个强有力的工具；三。

In chapter 3, we study pricing of geometric average Asian capped calls, pricing of geometric average Asian option with transaction cost, pricing of the two kinds of exotic option in Fractional Brownian motion environment, pricing of capped calls with transaction cost in fractional Brownian motion environment.

在本文的第三章，研究了几何平均亚式上限型买权的定价，有交易成本的几何平均亚式期权的定价，分数次布朗运动环境中两种奇异期权的定价，以及分数次布朗运动环境中有交易成本的上限型买权的定价。

For example, we use geometric distribution to describe the life distribution of runs of a species in transect surveys of plant populations and inventory demand distributions. In the theory of reliability, geometric distribution is one of the most important discrete probability distributions because of its loss of memory.

在可靠性理论中，由于几何分布的无记忆性，使得其是离散型寿命分布中最为重要的寿命分布之一，其相当于指数分布在连续型寿命分布中的地位，这正如程侃研究员在文献[5]中所指出的"在离散寿命的情形，几何分布起着连续情形下指数分布所起的作用"一样。

However, the change of geometry on this geometrically symmetrical reflector carried the danger of loosing some of the basic characteristics of geometric optics, by whose principles this antenna functions.

无论如何，这个对称几何反射器形体的改变，可能会带来这个天线赖以运作的基本几何特性不稳定的危险。这也就意味着完全改变了天线的大部分实质性的宝贵的特性。

The essay is about the teaching research into the relations between the definition geometrize nature and circular cone , in which the teaching research of definition mainly uncovers the nature of circular cone;geometry nature about how to lead the students to understand the geometry nature of circular cone with equations in the thought of figures and shape.

其中定义的教学探究主要是揭示圆锥曲线的本质特征，几何性质的教学探究主要引导学生从方程的角度，用数形结合的思想去理解圆锥曲线的几何性质。

As a result, the conclusions are drawn that it is hardly possible to automatically recreate the hexahedral elements with satisfied quality on an arbitrary 3D solid model, since the algorithm relates on how to handle many specific problems, such as geometric singularities and degeneration.

结论指出，基於在任意几何形状的三维实体上实现全自动生成满足要求的六面体网格的通用算法非常复杂和困难，涉及许多具体的特殊问题的处理，而且基於畸变后边界节点生成满足拟合精度的几何实体也是如此。

The multivariate polynomial interpolation problem is a classical mathematical problem that is widely used in many fields, such as multivariate function list, surface design and finite element method. In recent years, multivariate polynomial interpolation has been focused by many people, of which the geometric topological struction of sets of interpolation nodes is also much concerned by us.

多元多项式插值问题是一个十分具有研究意义和实际应用价值的数学问题，它广泛应用于多元函数列表，以及曲面的外形设计和有限元法等诸多领域，近年来多元多项式插值越来越受到人们的广泛关注，其中有关插值结点组的几何拓扑结构问题也是人们十分关注的内容。1998年，梁学章和吕春梅在文献[2]中借助代数几何中的有关理论，进一步讨论了沿无重复分量平面代数曲线上的Lagrange插值问题，并应用Cayley ？

Riemann's new idea of space proved crucial in Einstein 's general relativity theory and Riemannian geometry , which considers very general spaces in which the notion of length is defined, is a mainstay of modern geometry.

黎曼的新思路的关键空间证明爱因斯坦的广义相对论理论和黎曼几何，其中认为非常笼统的空间中，长度的概念界定，是一个主体的现代几何。

The interpolate algorithms of three-order NURBS curve and double three-orders NURBS surface are presented. The expressions of partial derivative and normal curvature of NURBS surface are derived by the theory of differential geometry. The geometric characteristics of different curvature area of the free-form surfaces are analyzed in detail. All these work lays a theoretical foundation for constructing the cutter location calculating model of free-form surfaces NC machining. 2 On the basis of analyzing the methods of cutter path generation, the standard of evaluating the various methods of cutter path generation is presented. The method of generating cutter path with constant scallop height is presented for the first time.

本文以提高复杂曲面多坐标数控加工精度和加工效率为目的，在对国内外研究现状进行深入分析的基础上，对数控编程中各环节的关键技术问题进行了深入研究，主要内容包括以下几方面： 1 分析了复杂曲面各种造型方法的优缺点，给出了根据各种边界条件所确定自由曲面的NURBS表示方法以及三次NURBS曲线曲面反算算法；用微分几何理论推导了NURBS曲面的偏导矢及法曲率计算表达式；对曲面不同曲率特性区域的几何特征进行了深入分析，为建立复杂曲面的数控加工刀位计算模型奠定了理论基础。

Using the relations between harmonic conjugation elements,we can determine the relations between polar point and polar line more widely.

度量几何中圆的切割线之间所确定的数量关系，推广到射影几何里一般二次曲线中，利用调和共轭元素之间的关系，更广泛地确定了极与极线的相互关系，着重介绍了二次曲线的度量性质与射影性质的内在联系。

The labia have now been sutured together almost completely.The drains and the Foley catheter come out at the top.

此刻阴唇已经几乎完全的缝在一起了，排除多余淤血体液的管子和Foley导管从顶端冒出来。

To get the business done, I suggest we split the difference in price.

为了做成这笔生意，我建议我们在价格上大家各让一半。