研究几何学

In addition, depending on the method of numerical simulation and theoretical analyses, some kinematic and geometric features of 0° involute—enveloping worm gear drive, such as meshing surface, first—type limit, second —type limit, worm surface, the numerical representation of contact line and bearing contact, are systematically studied. These relevant conclusions provide an important basis for the design and manufacture of new type worm gear set. As we predict, the method of numerical simulation has special effect in solving the question of complex conjugate surface.

综合利用仿真方法与解析手段，对0°渐开线包络蜗杆传动的啮合面、一类界限、蜗杆齿面构成、仿真接触线及仿真接触域等运动几何学特性进行了系统研究，有关结论为此种新型蜗杆副的设计与加工提供了重要基础，并且显示出数字仿真方法在研究复杂共轭曲面问题时所具有的特殊功效。

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。

The elegancy and singularity of fractal pictures attract the attention of more and more fractal fans.Fractality is not only used for enjoyment,but also is a new research direction of geometry which is the research on anomalous geometry objects.

分形图形的优美与玄妙吸引着越来越多的分形爱好者，它不仅仅是用来欣赏的，而且代表着几何学的一个新的研究方向，即对非规整几何对象的研究［1］。

In this paper,the application of differential geometrical methods in the study of o...

本文介绍了光束传输以及原子束在激光场中受控运动研究中微分几何学的应用，给出了这两种问题的相似性及其应用微分几何学方法进行研究的理论框架和应用举例，并与以往的研究结果进行了比较，证明了这种方法的可行性及其优点。

Based on the source investigation and the comparative approach of history of mathematics,a historical background of Gauss competition essay and its contribution to intrinsic differential geometry are discussed.

运用文献分析研究和数学史比较研究方法，分析了高斯哥本哈根获奖论文产生的历史背景及其对内蕴微分几何学的贡献。

Fractal is widely used in many fields such as the image data compression , simulation of natural scenery, Fractal geometry s growing and the researcher of chaos motility system and so on.

分形几何学在图象数据压缩、模拟自然景观、艺术图案设计、分形生长以及混沌动力系统的研究等方面有着广泛的应用，并已出现许多研究成果。

The generalized fractal dimension model of openings perimeter in jointed rock mass is put forward. The relation between erecting parameters and generalized fraetal dimension of openings perimeter is analyzed. According to the fractal theory, the relation between overbreak as well as underbreak and generalized fractal dimension of openings perimeter is built.

块体理论是研究洞室超欠挖的重要工具，它是从拓扑几何学的角度来研究洞室中的关键块体，但关键块体与超挖块体之间存在区别，文中对超挖块体和关键块体之间的关系进行分析研究，应用块体理论和结构面网络模拟技术相结合的方法预测了洞室超挖块体的大小。

The combination with the Calculus,physics,especially variational principles and geometry is one of the features of tiffs dissertation.

本文在查阅大量原始文献和相关研究文献的基础上，利用文献分析和比较研究方法，以&为什么数学&为切入点，结合微积分学、物理学以及几何学等背景，对变分法的起源和创立进行了系统分析和研究。

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。

According to the clear water experiment, aeration performance of the new equipment is good with high total oxygen transfer coefficient and oxygen utilization ratio.

曝气设备的动力效率在叶轮转速为120rpm～150rpm时取得最大值，此时氧利用率和充氧能力也具有较高值。

The environmental stability of that world - including its crushing pressures and icy darkness - means that some of its most famous inhabitants have survived for eons as evolutionary throwbacks, their bodies undergoing little change.

稳定的海底环境─包括能把人压扁的压力和冰冷的黑暗─意谓海底某些最知名的栖居生物已以演化返祖的样态活了万世，形体几无变化。