几何学上

On this basis,the PDC bit's fivepoint survey theory is developed,and a series of formulas are derived,applying PDC bits' geometry and analytic space geometry.

在此基础上，运用PDC钻头几何学和空间解析几何学中的四点共面、行列式、坐标变换的知识，提出并推导出了PDC钻头的五点测绘理论及系列公式。

Through the analysis of geometrical features of Mesozoic-Cenzoic sedimentary basins in the Lower Yangtze area, we think them to be asymmetric tectonic sinked basins. They are bounded by a set of boundary fault system and failed conjugate fault, and they are segmented along axes.

通过对下扬子区中、新生代非对称性沉积盆地的几何学特征分析，认为这种非对称性构造沉降盆地在剖面上表现为由一组主边界断层和一组天折的共轭断层所围限，而且在走向上具有分段特征。

First, this paper, in the field of intrinsic geometry, studies the geometric problems on garment design, as well as applies the frame and semi-geodesic coordinates to prove the fundamental theorem of being a developable surface.

文中首先在内在几何学的层次上，研究了服装设计所涉及的几何学问题，应用标架与半测地坐标方法证明了曲面成为可展面的基本定理，研究了可展面的分类及其性质，考虑到服装三维几何造型的需要，证明了组合式可展面各组成片相切连接条件的命题，作为构造可展面的理论依据，证明了单参数平面族的包络面必为可展面的命题，在此基础上发展出服装几何造型的"刮大白"方法以及相关的三种构造可展面的解析方法。3D→2D的变换是三维服装CAD的重要内容之一，其几何学实质是曲面的定长映射，文中总结了定长映射即可展面在平面上展开的基本准则，在这一准则的指导下，结合服装设计与相关领域的要求，讨论了可展面在平面上展开的解析方法与数字方法，上述内容确立了服装设计几何学的基本框架。

He's more conventional, tending to use later, more geometrically correct lines.

他更加保守传统，倾向于使用几何学上完美的线路。

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。。。。。。

Finally, combining PDE with Differential Geometry, parametrically representing the surface, tensor based image processing techniques have been proposed, such as edge detection , morphological operation? implicitly representing the surface as the level-set of the higher dimensional function, the variational problems and partial differential equations that define maps onto the given generic surface have been discussed.

本文结合微分几何学，基于曲线坐标系下的微分算子将平面上的图像处理框架推广到曲面上，得到了参数化曲面上的图像处理框架，并给出了边缘检测和形态学运算的算例；在已知给定曲面的隐式表达时，探讨了定义在任意曲面上的偏微分方程，解决了任意曲面上数据场的扩散问题。

And his entry for the most important competition of his life was a series of sketches of triangles and random parabolas, free shapes bounded by "curves in space geometrically undefined".

在他职业生涯最重要的那次比赛中，他的参赛作品是一连串令人目眩的形态组合图：三角形、恣肆凌乱的抛物线以及未能在空间几何学上明确定义的无数曲线，这些曲线环绕着看似信手涂鸦而来的图形。

The shells of the competition entry were originally of undefined geometry, but, early in the design process, the "shells" were perceived as a series of parabolas supported by precast concrete ribs.

在最初的歌剧院设计竞赛中，这些壳并没有几何学上的定义，但在设计过程的开始阶段，这些&壳&被定义为由一系列的混凝土肋骨支撑起来的抛物线。

Two years ago a study of another amazonian tribe , the piraha , reported that the ability of tribal adults to conceptualise numbers is no better than that of infants or even some animals

法国和美国的研究人员在最新一期的科学杂志上发表文章称，在亚马孙河丛林深处有一个部落群，即便他们没有用来表达几何学概念的语言也极具几何学天赋。

Two years ago a study of another amazonian tribe , the piraha , reported that the ability of tribal adults to conceptualise numbers is no better than that of infants or even some animals . the research suggested that without words for specific numbers , a number sense cannot develop

法国和美国的研究人员在最新一期的科学杂志上发表文章称，在亚马孙河丛林深处有一个部落群，即便他们没有用来表达几何学概念的语言也极具几何学天赋。

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。