凸的

The main aim of this thesis is to extend some results of classical convex analysis to notions of Carnot groups, which contain the inequalities of Hadamard type, the Lipschitz continuity, the comparison principle and the second order derivatives for convex functions on Carnot groups G and regularity of quasiconvex functions on G.

本文的主要目的是推广欧氏空间凸分析中的一些结果到Carnot群上凸分析的情形，其中包括Carnot群上凸函数的Hadamard型不等式、Lipschitz连续性、比较原理、二阶可微性及拟凸函数的正则性问题。

Basics of convex set theory and the convex analysis method are introduced. A comparison of probabilistic method and convex method is made with designed examples.

介绍了凸集理论的基本定理、定义和凸分析方法，并结合例题比较了概率方法和凸分析方法。

An improved algorithm of two dimensional convex hull based on included angle is proposed, and all the convex points are achieved through the maximal included angle by the increasing counter-clockwise direction. When more than one point satisfies the maximal included angle, the most distant point to the previous point is regarded as the next convex point.

提出了基于夹角的平面点集凸包改进算法，以最大夹角，按顺时针的方向可得到所有的凸点，当满足最大夹角的点不唯一时，以离当前凸点最远的点为凸点。

There are a lot of conclusions about properties of convex set and convex function, which have full application in convex programming.

相应于凸规划的凸集和凸函数的性质已有很多结论，并且在凸规划的研究中得到了充分应用。

Convex hull of point set and that of a polygon are two classes of it.

凸包问题是计算几何的基本问题，分为平面点集凸包和多边形凸包2类。

The Convex Hull of a given points P in the plane is the unique convex polygon whose vertices are points from P and contains all points of P.

在给定的点在平面P凸包是独特的凸多边形的顶点从P点，并包含换句话说P的所有点的集合P点是最小凸集凸壳含有体育

Based on quickqull algorithm,an improved algorithm to determine the convex hull of 2-D point set was proposed in this paper.

凸包问题是计算几何的基本问题，分为平面点集凸包和多边形凸包2类。

The paper is concerned with two aspects: a new concept of convex set and its some characteristic properties; on Buffon's problem for the complicated lattice.

1凸集的一个新概念与凸集的某些特征性质本文引进支持方向这一新概念并利用它来证明凸集的一个特征性质，最后再用它来证明凸集的另外一些特征性质。

At first step, the processor before the deformable body contact the end face of cone die cavity regarded as an extrusion process. The minification of core boss's cross-section regarded as compressibility of direct extrusion, which acted as definition factor when construct the Direct Extrusion Model element. Another step, the model element of flat punch extrusion on wedge piece process was constructed when propose the process of deformable body overflow die corner. In this way the spherical end face of blank looked as cone end face one, t he approximate treatment is one of originality innovation in this paper. At last, the two elements have been connected and constructed the model element of cone boss part's deformation in the open die forging.

对于锥形凸台成形的第一个特征时段，即坯料和锥形凸台型腔的端面接触之前的变形过程，本文将凸台的截面缩小率转换成挤压成形的压缩率并以此为界定，建立了不同截面缩小率时的锥形模正挤压的模型单元；对于锥形凸台成形的第二特征时段即锥形模的角部充满过程，在详细考察锥形型腔端面对变形过程影响的基础上，将变形体的球形端面近似成锥面建立了平冲头挤压楔形体的模型单元；最后将前述两种模型单元有机连结，构建了开式模锻中整个锥形凸台成形过程的定量描述。

Chapter 4 -rotundity and nearly strict convexity of quotient spaces. It is proved that ifis a -rotund or nearly strict convex Banach space andis a closed and proximinal subspace of, then the quotient spaceis also -rotund or nearly strict convex.

第四章 商空间的-严格凸性和近严格凸性：本章证明了若是Banach空间的任意可逼近子空间，则商空间对原空间的-严格凸性和近严格凸性都具有遗传性。

Breath, muscle contraction of the buttocks; arch body, as far as possible to hold his head, right leg straight towards the ceiling (peg-leg knee in order to avoid muscle tension).

呼气，收缩臀部肌肉；拱起身体，尽量抬起头来，右腿伸直朝向天花板（膝微屈，以避免肌肉紧张）。

The cost of moving grain food products was unchanged from May, but year over year are up 8%.

粮食产品的运输费用与5月份相比没有变化，但却比去年同期高8％。