三维空间

The Poincare Conjecture was first posed by the French mathematician, Jules Henri Poincare, in 1904, and seeks to understand the shape of the universe by linking shapes, spaces and surfaces.

庞加莱猜想最先由法国数学家亨利·庞加莱于1904年提出，是一个关于三维空间形状的问题。

After getting 25 sets of data,we figure up the corrugations on the starting position according to the delay formula,and then pile up these corrugations,at last ,after figuring up the capacity value of each lattice point,we change them into the pixel gray value,and portray them in the 3-dimensional space one by one.

得出25组数据之后，分别根据时延计算公式推算出其起始位置的波形，并将这些波形进行叠加，最后在计算出每个网格点的能量数值之后，将之按比例转化为像素灰度值，在三维空间逐个绘出。

As we all know,there is one Simson line at any point on the circumference of triangles,but in this paper, LHP theorem shows that the above conclusion is not correct for any quadrilateral pyramid in three-dimensional space and also during proving LHP theorem,fixed value theorem is proved,at the same time,one guess about the point H and point P on circumscribed sphere of tetrahedron has been concluded.

众所周知，三角形的外接圆周上任一点存在一条 simson 线，而 LHP 定理则指出对于正四面体该结论是不能推广到三维空间上的，并且在论证 LHP 定理的过程中得出了定值定理，同时作为一般四面体的外接球球面上的 H 点、P 点的分布，给出了一个猜想。

I-1 n 2 i for the problem of shortest path amidst a fixed number of convex polyhedral obstacles.

在包含一组相互分离凸多面体的三维空间中为任意两点寻找最短路的问题是个NP问题［2］。

Polyhedron -base Structure,which consists of space-filling polyhedron models,is a new type of space structure.

多面体空间结构是一种新型的空间结构类型，基于能够填充三维空间的多面体模型而构成。

The areas of projection of each plane were calculated to describe the molecular shape.

2在三维空间对分子进行投影，计算出每一个平面上的投影面积来描述分子的形状。

The stereographic projection is research way through the object three-dimensional space geometry essential factors reflected in the projection plane.

赤平投影是将物体三维空间的几何要素反映在投影平面上进行处理的方法。

In this paper, We only analyse the projective transformation in3- Dimension space, explain the geometric significance of its column and row's correlation coefficient and give the method of changing the non-full rank projective transformation of3- Dimension to2- Dimension.

对三维空间中的射影变换加以分析，说明其行、相关系数的几何意义及将三维非满秩射影变换改为二维满秩射影变换的处理方法进行探索，这对计算机辅助设计中的图形处理和建立图形数据库是有利的。

Processors analyze and monitor seismic frequencies in order to select proper time and frequency parameters in data processing.

在地震勘探过程中，多种因素影响地震波频率的变化，在数据处理过程中分析和监控各种波场的频率属性能够使处理人员了解数据频率成分的变化规律，有针对性地选择处理中的空变参数和频变参数。F-X-Y谱估计方法在三维空间上统计有效波的频率，结果较准确，对问题的分析更加细致。

But it is very difficult to analyze an arbitrarily curved and structural 3-D radome because of the limitation of these methods.

但由于这些方法自身的局限性，用来分析三维空间具有任意界面形状和结构的雷达罩显得十分困难。

What would he tell Judith and the children?

他将怎样告诉朱迪丝和孩子们呢？

I this is at that time, the opinion with peacockish true girl is full of in a heart.

这就是当时的我，一个心中布满虚荣的女孩子真实的想法。