几何复形

Simplicial homology group; topological invariant; homotopy type invariant; degree distribution; clustering coefficient; average distance; simplicial complex; triangulation; complex network; orientability

基础科学，数学，几何、拓扑单纯同调群；拓扑不变量；伦型不变量；度分布；簇系数；平均距离；单纯复形；三角剖分；复杂网络；定向

This paper discusses the kernel of the system -- geometric model and includes the following:(1) The topological elements and the relation between them in geometric modeling system are explained and expressed by the theory of simplicial complex and CW-complex. In addition, the identification operators and homology theory in algebraic topology are used in our model. A hierarchical structure is built on the base of complex.

本文主要讨论这个系统的核心问题——几何建模问题，包括以下几个方面内容：(1)用单纯复形和CW复形的理论来解释和表达造型系统中的拓扑元素和拓扑元素之间的相关关系，并将代数拓扑中的粘合操作和同调论应用到模型中，建立以复形为基础的层次结构。

Bernstein type theorem; Quaternion Euclidean space; minimal Lagrangian graphs; Twisted special Lagrangian submanifold; twisted normal bundle; Austere submanifolds; Real space form; Complex space form; Hamiltonian minimal submanifold; A Lagrangian submanifold with conformal Maslov form

基础科学，数学，几何、拓扑伯恩斯坦型定理；四元数欧氏空间；极小拉格朗日图；扭曲特殊拉格朗日子流形；扭曲法丛； Austere子流形；实空间形式；复空间形式；哈密尔顿极小子流形；具有共形Maslov形式的拉格朗日子流形

Geometry quality for these mappings can be obtained from these inqualities,and some sufficiency conditions for starlike mappings and spirallike mappings are given.

本文建立了多复变数单位球上全纯映照的一些偏微分不等式，由此可映照本身的一些几何性质，并得到星形映照和螺形映照的充分判别条件。

Wire electrode based on the trajectory of the different forms of control, WEDM can be divided into three types: one is shaped by the imitation controlled cutting in line in advance and work to create the same shape by mold, when processing the workpiece at the same time rough and on the mold clamping in the machine tool table, in the process of cutting wire electrode tightly against the mold on the edge of the track for the mobile, thus cutting out and die on the same shape and precision to the workpiece; another One is the electro-optical tracking control, to carry out the cutting line, before the basis of certain parts to enlarge the proportion of drawings depicts an electro-optical tracking map-processing machines will be placed in design stage of electro-optical tracking, tracking platform Photoelectric first line of graphics has always been to follow the track of the Mexican campaign, and then through the use of electrical, mechanical linkage to control the machine tool table, together with the workpiece so相似形wire electrode relative movement, thus cutting out the same shape and design to the workpiece; again a digital control, the use of advanced automatic control of digital technology-driven machine tool in accordance with the pre-processing parameters according to the workpiece geometry pre-processing procedures for the preparation of a good CNC auto-complete processing, the production does not require appearance on board the need to map to enlarge map of the previous two form of control has a higher machining accuracy and a broad range of applications, both at home and abroad more than 95% have adopted WEDM NC.

根据对电极丝运动轨迹的控制形式不同，电火花线切割机床又可分为三种：一种是靠模仿形控制，其在进行线切割加工前，预先制造出与工件形状相同的靠模，加工时把工件毛坯和靠模同时装夹在机床工作台上，在切割过程中电极丝紧紧地贴着靠模边缘作轨迹移动，从而切割出与靠模形状和精度相同的工件来；另一种是光电跟踪控制，其在进行线切割加工前，先根据零件图样按一定放大比例描绘出一张光电跟踪图，加工时将图样置于机床的光电跟踪台上，跟踪台上的光电头始终追随墨线图形的轨迹运动，再借助于电气、机械的联动，控制机床工作台连同工件相对电极丝做相似形的运动，从而切割出与图样形状相同的工件来；再一种是数字程序控制，采用先进的数字化自动控制技术，驱动机床按照加工前根据工件几何形状参数预先编制好的数控加工程序自动完成加工，不需要制作靠模样板也无需绘制放大图，比前面两种控制形式具有更高的加工精度和广阔的应用范围，目前国内外95%以上的电火花线切割机床都已采用数控化。切割属电加工范畴，是由前苏联人发明的，我国是第一个用于工业生产的国家，当时由复但大学和苏州长风机械厂合作生产的这是最早的机型叫复旦型，我们国内在此基础上发展了快走丝系统。欧美和日本发展了慢走系统LS

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。