凸点

At last, for the limition of the swarm model based on minimal circumcircle method, we extend the model to n-dimensional spaces; study the aggregating swarm behavior and flocking behavior; and analysis the stability of system.

本文最后针对基于最小外接圆方法的群集模型的局限性，在前人的研究基础上，采用求解任意维空间点集的凸壳的方法，将该模型推广到n维空间中，对n维空间中群体的聚集以及迁徙行为进行建模和稳定性分析。

Of all such measures endowed with the topology of point-wise convergence on forms a compact convex Hausdorff space.

在上赋予逐点收敛的拓扑就成为紧凸的Hausdorff空间。

Some existence and uniqueness of a common fixed point for a family of non-self mappings of closed subset in a complete metrically convex metric space are given.

给出了若干个度量凸空间的闭子集上的非自映射族的公共不动点的存在性与唯一性。

Under the conditions of compatibility or sub-compatibility between a single-valued mapping and a set-valued mapping,a necessary and sufficient condition for set-valued mapping pair and single-valued mapping which have the common fixed point in complete convex metric space are given.

在单值映象与集值映象相容或次相容的条件下，给出了完备凸度量空间中集值映象对与单值映象存在公共不动点的一个充要条件，改进和推广了某些已知结果。

And also relative techniques involved, such as primary component analysis technique and convex technique, are introduced. And based on this, our method of surface reconstruction is described in detail. Still a method of border connection is brought forward. Using our method surface reconstruction can be well finished.

对所用到的主成分分析技术、聚类分析技术、凸壳技术等做了详细的介绍，并在此基础上详细阐述了自己的算法，提出了一种新的边界缝合技术，较好的解决了散乱点曲面重建问题。

In this paper. we discuss the history origin of integral geometry, its product anddevelopment in the introduction. Also. the kinematic in-variant density formulas forpairs of needles and lines in R~2 and R~3 the concept and properties of chord-powerintegrals of a convex body are introduced in brief.

本文在绪论部分综述了积分几何与几何概率的历史渊源及它的产生与发展，简单介绍了R~2和R~3上点偶、线偶的运动不变密度公式以及凸体的弦幂积分的概念和性质。

But in our method, the reference function value of the iteration point is defined by a special weighted average, i.e., a convex combination of all previous function values.

而在此算法中，迭代点的参考函数值为一特殊的加权平均值，即前面所有点函数值的凸组合。

A mathematician would say the shift from yellow to purple was an inflection point, shifting the curve from convex to concave.

数学家会说从黄色到紫色的转变是个拐点，曲线由凸变凹。

Many different techniques exist for calculating the convex hull of a set of points.

存在着许多不同的方法计算的一个点集凸包。

This paper presents a collision detection algorithm of high density point set based on convex hull.

提出了一种基于凸壳的高密度点集物碰撞检测算法。

The split between the two groups can hardly be papered over.

这两个团体间的分歧难以掩饰。

This approach not only encourages a greater number of responses, but minimizes the likelihood of stale groupthink.

这种做法不仅鼓励了更多的反应，而且减少跟风的可能性。