等距的

Among probability sampling methods, what kinds of research conditions are more appropriate for each sampling method

什麼样的情况下，适合用机率抽样方法简单随机抽样有4种方法：1。简单随机抽样2。分层随机抽样3。系统抽样等距抽样

T not only can reveal the meaningful low-dimensional structure hidden in the high-dimensional observation data, but can recover the underlying parameter of data lying on a low-dimensional submanifold.

somap的理论基础是假设在高维数据空间和低维参数空间存在等距映射，但并没有进行证明。

M. translational distribution, angular distribution, and the branching ratios for different possible product channels by measuring the angle-resolved time of flight spectra of photofragments. Information about photodissociation processes such as dissociative lifetime of parent molecule, the orientation of transition dipole moment, and the symmetry change of the highly excited states can be deduced from the translational energy distribution and angular distribution.

碎片平动能谱方法是在无碰撞条件下研究光解动力学的一种理想方法，它通过测量光致碎片在不同角度的时间飞渡谱(Time of Flight，简称TOF)，可以得到光解碎片质心系的平动能分布、角分布和不同解离通道之间的分支比等，由此可以推知母分子的解离寿命、跃迁偶极距的取向以及激发态分子的对称性变化等过渡态的动力学信息。

Photofragment translational spectroscopy is an ideal tool to investigate photodissociation dynamics under collision-free conditions through which one can obtain the total center of mass translational distribution, angular distribution, and the branching ratios for different possible product channels by measuring the angle-resolved time of flight spectra of photofragments. Information about photodissociation processes such as dissociative lifetime of parent molecule, the orientation of transition dipole moment, and the symmetry change of the highly excited states can be deduced from the translational energy distribution and angular distribution.

碎片平动能谱方法是在无碰撞条件下研究光解动力学的一种理想方法，它通过测量光致碎片在不同角度的时间飞渡谱(Time of Flight，简称TOF)，可以得到光解碎片质心系的平动能分布、角分布和不同解离通道之间的分支比等，由此可以推知母分子的解离寿命、跃迁偶极距的取向以及激发态分子的对称性变化等过渡态的动力学信息。

ABSTRACT This paper summarizes our researches on two key techniques in curve and surface modeling-the geometric approximation techniques and the geometric interpolation techniques. The former includes three types of geometric approximation techniques: Hybrid polynomial approximation to rational curves and surfaces, offset curves and surfaces approximation, interval Bézier curves and surfaces approximation. The latter includes a series of algorithms for shape blending modeling: the MSI algorithm for shape blending between space polylines or trees, the MSI algorithm for shape blending between triangular meshes, and skeleton-based shape blending algorithms using triangular decomposition and star-shape decomposition.

本文是作者对曲线曲面造型中两类核心技术几何逼近技术和几何插值技术的研究成果的总结，其中前者包括有理曲线曲面的Hybrid多项式逼近、等距曲线曲面逼近和区间曲线曲面逼近等三类几何逼近方法；后者包括用于形状混合造型的几何插值方法的一系列算法：空间多边形形状混合的MSI插值算法、三角网格形状混合的MSI插值算法、树的形状混合的MSI插值算法以及基于骨架树形状混合的三角剖分算法和星形剖分算法。

In section four, we study the problem of isometric extension from the unit sphere of Banach space, which we also called Tingley's problem.

第四节介绍单位球面上的等距延拓问题，这是一个准线性问题。

In recent years cycloidal equidistant-curve gears are often used in gear trans- mission equipments.

摆线等距线齿轮是近年来研制的一种新型齿轮传动。

The cycloidal equidistant-curve worm gearset is the new type of worm and worm gear transmission equipment.

摆线等距曲线蜗轩是一种新型的蜗杆传动。

One of the seven basic forms in the highest symmetry ("hexoctahedral") class of the cubic, or isometric, crystal system.

其中七项基本形式的最高对称性(&hexoctahedral&)类立方，或等距，水晶制。

Plate picture and text parts of ink is transferred to the procedure, for various reasons, such as plates and the contact and transfer ink when business card printing and membership card making blanket in the pressure, and plates and the contact with the authority into, the for ink absorption and osmosis and ink performance of optical phenomena, and so on, make the transition to the ink on the relative to the printing plate or mucilloid plates of the original film produces metaboly, a phenomenon in the mesh modulation cards and membership cards to make the dot gain, the law is both dot size, represents the edge of the egualling.

印版上图文局部的油墨在迁徙到被印物的历程洋，由于种种原因，如印版与被印物隔绝和迁徙油墨时活命的制卡和会员卡制作不张力、橡皮布在与印版和被印物隔绝时爆发的变形、被印物对于油墨的汲取和不合泌本领及墨迹表示的平学本体等，使迁徙到被印物上的墨迹不绝对于印版或用于制作印版的原版胶片的图文局部爆发变形本体，这种本体表示在网目调制卡和会员卡制作洋就是网点不收不小，其次序是无论网点巨细，都表示为边际的等距不收不小。

Plunder melds and run with this jewel!

掠夺melds和运行与此宝石！

My dream is to be a crazy growing tree and extend at the edge between the city and the forest.

此刻，也许正是在通往天国的路上，我体验着这白色的晕旋。