查询词典 Sphere

The characters of linear complexity profile of periodic sequences are investigat- ed. The relation between the continued fraction expansion of rational function and its 1- inear complexity profile is established. The expression of linear complexity profite is gi-~~en and a condition estimating the randomness of a sequence is presented. By the linear complexity profile, the bound of sphere complexity is proposed. A formula to record the number of sequences with given linear complexity profile is presented.

研究了周期序列的线性复杂度曲线特性，在周期序列生成函数的连分式展开式与线性复杂度曲线之间建立联系，给出了周期序列线性复杂度曲线的表达式；给出了判断序列随机性好坏的一个条件；利用线性复杂度曲线特性给出周期序列球体复杂度的一个估计；给出了具有给定线性复杂度曲线的序列个数的一个计数公式。

It describes the detachment of art as a special sphere of human activity from the nexus of the praxis of life. All description of this category must be judged by the extent to which it succeeds in showing and explaining logically and historically the contradictoriness inherent in the thing itself.

本文把艺术的超然独立描述为人类活动的特殊场域，以衔接生活实践的，一切有关此范畴之描述的判断，都必须以逻辑和历史来表述和解释内在於事件本身之矛盾的成效为据。

In general, two faces of a convex lens are parts of a sphere.

张清通常凸透镜的曲面是球面。

Constrained surface and constrained maximum empty-sphere convex polyhedron are introduced to compute triangulation in spatial regions.

1引言空间或平面区域的Delaunay三角化（DelaunayTriangula－tion）广泛应用于数据插值、有限元分析、计算机图形学以及地理信息系统等领域。

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。

"Convex:Having a surface or boundary that curves or bulges outward, as the exterior of a sphere."

凸起的：具有向外弯曲或凸出的表面或边界的，如球体的外表面。

Now there is a hyperboloid, a concave ellipsoidal surface and a convex sphere surface need to be done.

现在是一个双曲面，一个凹椭球面，一个凸椭球面

"Convex:Having a surface or boundary that curves or bulge s outward, as the exterior of a sphere."

凸起的：具有向外弯曲或凸出的表面或边界的，如球体的外表面。

An analysis of the intersection of torus/sphere based on coordinate transformation

同一点在两个不同的坐标系中的两种坐标之间的变换。

By the time I ended the program and stepped out of the sphere, I was sweating copiously.

等到程式结束，步出虚拟球时，我已经汗如雨下了。

In the chapter 2, the theoretic knowledge about the photosensitive resin and the grinding tools was firstly introduced.

第二章阐述了光固化树脂结合剂磨具的相关理论研究。

Do not use the program's indenting or margin-setting features; these will be added during typesetting.

不要使用缩排，页面边缘设置之类的选项，偶看不大懂。