几何学上的

Geometry of Manifolds analyzes topics such as the differentiable manifolds and vector fields and forms.

流形上的几何学讨论的问题是微分流形，向量场和微分形式。

Unfortunately, these simplifications make it hard to achieve photorealistic and geometrically accurate face models.

不幸的是这些简化使获得渲染引擎和几何学上精确的面部模型十分困难。。。。。。

If every hinge point of a fold in profile are connected, we can get an imaginary plane which divides the fold symmetrically. This imaginary plane is known as axial plane. The geometrical characteristics are used to classify folds.

如果在横断面上将一个褶曲各弯曲层上的枢纽点连接起来，便可得到一个对称分隔褶曲的标志面，这个标志面叫做褶皱轴面，可以用褶皱轴面的几何学特征来作褶皱分类。

In the Meno, Socrates uses a geometrical example to expound Plato's view that knowledge in this latter sense is acquired by recollection.

在《门诺篇》中，苏格拉底利用几何学的例子解释柏拉图在后一种意义上的知识通过回忆获得的观点。

In this research we analyze the role of symmetry, neoclassical canons, and golden ratio in the determination of attractiveness of a face.

这项研究提出了评价面容吸引力的模型，表明了几何学在面容吸引力评价上的重要作用。

Non-Euclidean geometry brought about the birth of a leap in the history of the development.

非欧几何的诞生带来了几何学发展史上的一次飞跃。

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。

Spherical trigonometry is a part of spherical geometry, mainly in the processing, discovery and interpretation of polygons on the spherical surface contact angle and the edge and relevance.

球面三角学是球面几何学的一部分，主要在处理、发现和解释多边形在球面上的角与边的联系和关联。

In his works, he largely employs disposed steel trusses, backstays and naked pipelines, arcades and metal components to emphasize openness and innervations. In addition, it integrates harmonious system to develop a kind of geometry in the whole.

在他的建筑中利用了大量毫不掩饰的钢桁架、桅杆、拉索及裸露的管道、拱廊、金属部件，他强调建筑形态的开放性、动态感，并融入协调的秩序，以发展一种总体上的几何学。

"As mentioned by Bak in this debate, the SOC hypothesis has been suggested, on the one hand, on the basis of the observation of power law distributions, such as the Gutenberg-Richter law for earthquakes and the fault length distribution, and of the fractal geometry of sets of earthquake epicenters and of fault patterns, and on the other hand on the study of highly simplified models with somewhat similar scale-invariant properties."

&如同Bak在这场辩论中已提到的那样，一方面，在对动力法则分布进行观测的基础上，如用于地震和断层长度分布的Gutenberg-Richter定律，以及对震中的破裂几何学内容的观测和对断层图案的观测，以及另一方面对带有某种程度类似标度不变性质高度简单的模型的观测基础上，提出了SOC〔'自组成危险性'〕假说。&

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。