凸的

Using the method of approximating the Lipschitz functions by the convex functions, we give a sufficient condition for the set where Lipschitz functions on a Hilbert space are Frechet differentiable is a residual set.

我们利用Lipschitz函数空间中凸函数的逼近性质来分析Lipschitz函数的微分性质，得到Hilbert空间上Lipschitz函数的Frechet可微点集是剩余集的一个充分条件，以标题"Lipschitz函数与凸函数之间的一些联系"在中国科学杂志上发表。

Firstly, we recall some notions and results about space theory, including Hausdorff space, Hausdorff distance between sets , Baires category about sets and convex set. Secondly, the semi-continuity, closure, compactness of set-valued maps are introduced in set-valued analysis. Finally, essential point, essential set and essential component are introduced.

其中，空间理论及凸集的基本知识介绍了Hausdorff空间、集合间的Hausdorff距离、集合的Baire分类、以及凸集等四个方面；集值分析部分主要介绍单值映射的半连续性以及集值映射的半连续性、闭性和紧性；本质点、本质集和本质连通区部分主要介绍了本质点、本质集和本质连通区等有关概念和性质。

The attitude of missile in the launch inertial coordinate frame is obtained by the relation between CRF and LICF.

由星敏感器视场中的星图，可生成唯一的最大凸多边形，基于凸多边形的星图识别算法可同时获得多颗星的瞬时位置，由此可获得弹体在赤道惯性系和发射点惯性系中的姿态及其关系。

The concepts of the S-simplest form of a seminorm family P and the P-reflexive locally convex space are introduced. The seminorm family P and its every S-simplest form generate the same locally convex separated topology on X are proved.

引入半范数族P的S-最简形式和P-自反局部凸空间的概念，证明了半范数族P和它的每一个S-最简形式都生成X上相同的局部凸拓扑。

In order to improve the capability of Hooke's universal joints, the effects of structural parameters on the contact pressure distribution are analyzed based on Lundberg's logarithmic equation and the numerical calculation of three-dimension elastic contact problems in finite length.

为改善万向节的性能，文中基于Lundberg对数凸型方程和三维有限长弹性接触问题的数值计算，分析了轴承结构参数对接触压力分布的影响，提出滚针凸度量设计时必须考虑滚针倒角半径和越程槽宽度的影响，并给出了相应的数值计算方法。

according to the concept of sagittal spinal balance, the alternating curves of cervical and lumbar lordosis and thoracic and sacral kyphosis enable the head to be positioned over the trunk and pelvis.

根据矢状面上脊柱平衡的理念，颈椎和腰椎的前凸，胸椎和骶椎的后凸构成的交替曲线使头能够定位与躯体和骨盆的上方。

This shows that the Riemann mapping theorem of n-dimensioanl quasiconformal mappings holds in the class of bounded and convex domains in ■~n.

证明n维空间中的有界凸域D能被拟共形映射到n维单位球B~n(0，1)，即D是拟球，从而说明拟共形映射中的黎曼定理在n维空间中的有界凸域类中是成立的。

Note on relation of seminorm and norm in vector space;2. The functional representation of some seminorms such as the continuous seminorms, the beundedseminorms and the lower semicontinuous seminorms are given out.

给出了局部凸空间上连续半范数，有界半范数和下半连续半范数等的泛函表示，应用这些表示定理，我们得到了Banach－Mackey空间的一个全局特征和囿空间的对偶特征，最后还给出了局部凸空间理论中一些重要定理的简化证明。

Give a projecting plane,sign volume of pentahedron for each triangle in mesh,which is constructed by the triangle and it projection in projecting plane,is computed.Volume of the mesh is algebraic sum of all pentahedrons' signed volume.Triangles will be partition into several smaller triangles when necessary.

该方法通过指定投影平面，计算每个三角面片及其在投影平面上的投影所围成的凸五面体的带符号体积（必要时对三角面片进行细分），整个模型的体积为所有凸五面体带符号体积的代数和。

To compute the convex hull of a planar point set, first to find the extreme points of the planar point set and get the sub collections of points candidate for vertices of the convex hull between them.

新算法达到目前平面点集凸包问题的渐进最好算法的时间复杂度O，其中，n为平面点集的点数，h为平面点集凸包的顶点数。

In the negative and interrogative forms, of course, this is identical to the non-emphatic forms.

。但是，在否定句或疑问句里，这种带有"do"的方法表达的效果却没有什么强调的意思。

Go down on one's knees;kneel down

屈膝跪下。。。下跪祈祷