Aim to study the existence of the extreme points of a compact set in linear topological space.
目的研究线性拓扑空间中紧集端点存在性问题。
In the second section of Chapter Two, we give a characterization of non-extreme points of numerical range.
本文在第二章第二节研究了数值域非端点的特征。
Some of those extreme points and black holes can be deemed as different universes overlapping at different stages.
太空中的奇点和黑洞，其中有的就可以认为是不同宇宙在不同时期的迭加景象。
The boundary conditions of cubic spline were given by the practical state at the extreme points of discrete function.
三次样条插值函数边界条件由实际问题对三次样条插值在端点的状态要求给出。
The precision of points on the margin of triangle plane is higher than that one of the two extreme points of the beeline at least.
落在三角平面的边上点的精度至少要高于确定该直线元的两控制点其中一个点的精度；
Moreover, the boundary initialization of population is obtained by getting all the extreme points of the bounded convex polyhedron.
边界上初始种群的获得比较复杂，它们是通过求得凸多面体所有极点来进行的。
Specifically, given a set of points in the plane, please construct the convex hull and output an encoded description of all the extreme points.
具体地，对于平面上的任意一组点，请构造出对应的凸包，并在经过编码转换之后输出所有极点的信息。
Since each iteration in the generalized method will usually skip over a number of extreme points, the convergence rate is obviously quicker than that in simplex method.
由于广义方法的迭代通常要跳过一些极点，因此收敛速度比单纯形法有明显的提高。
Fibonacci Retracement Fibonacci Retracement are built as follows: first, a trend line is built between two extreme points, for example, from the trough to the opposing peak.
斐波纳契撤回斐波纳契回撤是建立在两个端点间的趋势线。例如从最低点反向到最高点线上的两个端点画出的。
From experimental results it can be concluded that using a dynamic inertia weight makes the rapidity of convergence accelerate and is not easy to trap in the local extreme points.
函数测试表明，改进后的算法使收敛速度显著加快，而且不易陷入局部极值点。
Assuming knowledge of extreme points, we develop bounds for associated convex combinations and improve bounds on the integer programming problems objective function and variables.
应用已有的极点理论，优化相伴凸组合的界并改进整数规划问题的目标函数及变量的界。
Firstly, the wavelet transform is undertaken for the sensor information of the underwater vehicle, and the extreme points of the wavelet transform are used to detect the jumping faults of the signal.
论文首先对水下机器人传感器信息做小波变换，利用小波变换极值点来检测信号的突变故障。
To take an extreme example, imagine that an electron does not scatter in an iron layer unless its spin points in the same direction as the layer's magnetization.
举一个极端的例子，假设一个电子没有在一个铁层散射，除非与层的磁化方向相同地旋转。
But Dr Smith points out that many of these planets are either too close to their sun or too far away, meaning their surface temperatures are so extreme they could not support life.
但史密斯教授指出很多这些行星要么离它们的恒星太近，要么太远，这意味着行星表面的极端温度不适合生命存在。
Mathematics is pointed out that the maximum of the function is often in the most unstable points to get, people pursuit of extreme balance will lose heart.
数学指出函数的极大值往往在最不稳定的点取到，人追求极端就会失去内心的平衡。
This paper points out the insufficient definition in some textbooks and also proves non coincidence of the yieding point and extreme point.
但有的教材并非如此，本文指出了教材中对拐点的不充分定义，并证明了拐点与极值点的不重合。
Note: Since the market forecast was made, Coffee has suffered the expected decline, the extreme break having been 120 points.
注意：既然市场预测被做，咖啡已经遭受预期的衰微，是120点的极端休息有。
Striving for the possible extreme value points of poly function with addition condition by using the function processions.
利用函数行列式求得多元函数在附加条件下的可能极值点。
Slow soft speech points to extreme sadness and anxiety.
说话缓慢轻柔表明他内心极度的悲伤焦虑。
So is with the topics presented here, taken to the extreme, with many entry and exit points depending on individual interests.
就像这里所呈现的主题一样，极度采取这种方式，有许多取决于个人兴趣的条目或是离开点。
After several weeks of extreme volatility, Thursday saw another dramatic session on Wall Street with investors pushing the Dow Jones up more than 500 points.
经过几周的急剧变化周后，周四再次见证了华尔街的剧变，投资者使道琼斯指数上涨了超过500点。
After several weeks of extreme volatility, Thursday saw another dramatic session on Wall Street with investors pushing the Dow Jones up more than 500 points.
经过几周的急剧变化周后，周四再次见证了华尔街的剧变，投资者使道琼斯指数上涨了超过500点。
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