几何学的

The computer simulation software was developed for figuring the path curves and instantaneous speed of the lapping process.

文中从运动学和几何学原理出发，建立了工件精密研磨过程的轨迹方程，通过将复杂的研磨运动简化为在中心距一定条件下夹具绕研磨盘中心轴的回转运动及夹具自身的回转运动，对工件上任意点相对于研磨盘的运动轨迹及瞬时速度进行了分析计算，并开发了相应的计算机仿真软件，对其运动轨迹曲线及瞬时速度进行了分析。

The course is a comprehensive introduction to the theory, algorithms and applications of integer optimization and is organized in four parts: formulations and relaxations, algebra and geometry of integer optimization, algorithms for integer optimization, and extensions of integer optimization.

本课程对整数最优化的理论、算法和应用做了全面的介绍。课程分为四部分：公式和松弛、整数最优化的代数学和几何学、整数最优化的算法，以及整数最优化的拓展。

By dropping this assumption of fixed topology and metric, one can investigate alternative theories within differential geometry that yield an appropriately changing topological structure, and search for and check its testable consequences.

通过抛弃这一拓扑与量度确定不变的假设，在一个能生成一种适当的变化性拓扑架构的微分几何学之中，我们就可以探究其他的理论并寻找与检验其可检验的结果。

A parametric study graphic nature of the projection, that is, they read the projective transformation, remained the same graphic nature of the geometry, the branches. 2D projective transformation is a more common transform method, used in the camera lens of the camera plane, and applied to various fields of study.

射影几何是研究图形的射影性质，即它们经过射影变换后，依然保持不变的图形性质的几何学分支学科。2D射影变换是一种较为常见的变换方法，发生在用透视摄像机对平面摄像的时候，并应用于各个研究领域。

Based on traditional balanced cross section in pure geometry, we put forward a method of physical balanced cross section that has two basic principles: normal direction conservation and deform matching.

作者在纯几何学方法的平衡剖面技术的基础上，着重考虑了岩石变形的物理规律，并根据岩石变形机理和物质守恒原理，提出了以法线不变原则和变形匹配原则为基础的物理平衡剖面法，实现了复杂的原始地质构造剖面的自动化恢复。

The genius of ancient Greek geometry not only stands the test of time (Pythagoras's theorem is as valid now as when it was first proved); its discoveries can suddenly find new applications in the 21st century.

古希腊的几何学天才们不仅仅经受住了时间的考验（毕达哥拉斯的定理在今天就如同它刚被证明时一样有效），并且他们的发现将会在21世纪找到新的用途。

But Baroque includes many flexible methods to resolve the spatial problems, not only the decoration but also the function: It provides the building with motive power by using dynamic space elements, the light, the geometry and scenography; the exaggerative decorations make the building have a dramatic appearance; it integrates various art forms with building organically.

但巴洛克不仅赋予空间装饰性，又具有灵活的解决空间问题的手法：它运用动态的空间元素、光影、几何学和透视法使建筑获得动势；它以夸张或炫丽的装饰为建筑增添戏剧性的色彩；它以综合性的手法融合多种艺术形式，并和建筑有机地结合成一整体。

Pages: 444 This landmark among mathematics texts applies group theory to quantum mechanics, first covering unitary geometry, quantum theory, groups and their representations, then applications themselves—rotation, Lorentz, permutation groups, symmetric permutation groups, and the algebra of symmetric transformations.

页： 在数学正文中的444这标志建筑物把群论用于量力学，首先包括单位的几何学，量子理论，组和他们的表现，应用themselvesotation，洛伦茨，换变组，匀称换变组和匀称的转变的代数的然后。

Combining the fluid mechanics in porous medium and the geometry, the author considers the artificial barrier as a filter cake, research on the vadose rule on the condition of the coercibility and the non-Newtonian fluid flow, establish the formula of artificial barrier pressure drop and thickness, probe the formula of the thickness of artificial barrier for the pressure in the fracture,the coercibility, the smallest stress of barrier and the rheological property of fracturing fluid.

结合渗流力学和几何学，将人工隔层视为滤饼，在对人工隔层中渗流规律的研究中考虑了流体的非牛顿性和人工隔层的可压缩性，建立隔离层压降与厚度之间的关系式，探索人工隔层厚度与缝内压力、人工隔层可压缩性、上下隔层最小主应力、压裂液流变性等之间的关系。

First, based on the analysis and comparison of wave breaker indices defined by geometric, kinetic as well as dynamic stability, which were verified by observation, the value α, which is equal to H/ by Miche' s result and may be modified by Goda' s results, is suggested as the wave breaking criteria. The applicable values of α for pure waves or wave-current co-existing field are given.

首先，基于对波浪破碎的几何学、运动学及动力学三种指标的分析比较和观测资料的验证，本文提出可以合田良实的结果为基础修正Miche的H／=α值，并提出了适用于纯波及波浪与水流共存时的临界α值。

We have no common name for a mime of Sophron or Xenarchus and a Socratic Conversation; and we should still be without one even if the imitation in the two instances were in trimeters or elegiacs or some other kind of verse--though it is the way with people to tack on 'poet' to the name of a metre, and talk of elegiac-poets and epic-poets, thinking that they call them poets not by reason of the imitative nature of their work, but indiscriminately by reason of the metre they write in.

索夫农 、森那库斯和苏格拉底式的对话采用的模仿没有一个公共的名称；三音步诗、挽歌体或其他类型的诗的模仿也没有——人们把&诗人&这一名词和格律名称结合到一起，称之为挽歌体诗人或者史诗诗人，他们被称为诗人，似乎只是因为遵守格律写作，而非他们作品的模仿本质。

The relationship between communicative competence and grammar teaching should be that of the ends and the means.

交际能力和语法的关系应该是目标与途径的关系。