数学

It is determined that the pitch cone of honing wheel depends on the number of teeth in the honing wheel and the angle between the common normal of pitch cones and the plane parallel to both gear and honing wheel axes.

论文摘要：分析了基于交错轴传动的珩齿原理，导出珩磨轮与被珩齿轮在啮合点处的相对滑动速度的数学模型，根据该数学模型可以判定，珩磨轮的节锥面由珩磨轮齿数以及公法线和与珩磨轮及被珩磨齿轮的轴线平行的平面的夹角两个参数所确定。

Analyzing the honing principle of spiral bevel gears based on crossing-axis transmission, the mathematical model of the relative sliding speed of the contact point between honing wheel and gear is achieved. It is determined that the pitch cone of honing wheel depends on the number of teeth in the honing wheel and the angle between the common normal of pitch cones and the plane parallel to both gear and honing wheel axes.

分析了基于交错轴传动的珩齿原理，导出珩磨轮与被珩齿轮在啮合点处的相对滑动速度的数学模型，根据该数学模型可以判定珩磨轮的节锥面是由珩磨轮齿数、公法线和与珩磨轮轴线平行的平面夹角所确定。

Based on the structural theory of general systems this paper sets forth a general mathematical model of material levels which include atoms molecules and molecular congeries .

微观还原论无法揭示物质涌现性的根源，以及物质结构与性质之间的相互关系，基于一般系统结构理论，建立了物质在原子，原子基团，分子和分子聚集体等层次上的统一的数学模型，即物质系统结构模型，通过对该模型的数学分析，研究了环境与物质结构，物质行为，物质状态之间的相互关系。

Shengyubeifenfa;Chinese Remainder Theorem;Euclidean algorithm;Congruence group;Binary Diophantine equation Full Text - Paper in Chinese

我相信，本文的方法不仅在数论，而且在其它数学学科，如：计算机算法、组合数学等方面会得到应用。

Because it emphasizes on algebraic method, geometric intuition are lose. Especially in the unit of conic section, although "the unity of geometrical material and algebraic symbol "is the teaching objective of text books, but according to the material of text books, it is difficult for students to arrive.

本文首先试著分析目前高中数学教科书中，对於几何部份的教材编写上，由於编写者的意识型态不同，理念不同，数学教师对教科书的诠释就会因此而有不同，因而造成目前高中几何教学著重在代数方程式上的一些问题。

This article takes the teaching of conic sections as an example. By designing worksheets, teachers can introduce the historical material about conic sections to students. By way of using Apollonius' definition of parabola, ellipse and hyperbola, teachers can introduce the geometric aspect of "conic section" to students. By using the concept of " latus rectum " in Conics , we can connect "conic sections"-- representation of geometrical aspect, with "the equation of conic sections"-- representation of algebraic aspect to improving insufficiency of text books.

同时本文也试著从历史文本中寻找材料，简单举例说明数学教师可以如何应用这些史料在几何单元教学上，例如三角函数的正余弦定理，最后再以圆锥曲线的正焦弦为例，说明如何利用数学史料於此单元的教学，尤其是阿波罗尼斯的《锥线论》中对圆锥曲线的3个命题，将此3个命题的内容与意涵，尤其是正焦弦在圆锥曲线的几何意义上所扮演的角色，将其适当地融入教学中，将可使学生真正学习圆锥曲线的几何知识，而不再只是代数形式的几何知识。

The tolerance zone of conical form which is not specified in standard are also researched in this chapter.

基于公差的数学定义，首次较为系统地推导了不同尺寸约束模式下的平面定位尺寸公差数学模型。

Generalized strong vector variational-like inequalities; Minty's lemma; KKM mapping; pseudomonotone; Ky Fan lemma; open mapping theorem; complete; the second category; conjugate; proper convex lower semicontinuous function; linear mapping; closedness

基础科学，数学，数学分析广义强向量似变分不等式； Minty引理； KKM映象；伪单调； Ky Fan引理；开映射定理；完备；第二纲；共轭；真凸下半连续函数；线性映射；闭性

This paper presents a method to formulate three motion constrain equations which are consistent with the kinematic structure of the mechanism, and model...

本文根据这种机构的结构特点，给出了操作平台的输出运动参数的三个运动约束方程，并且建立了三个独立输出运动参数和三个独立运动输入参数之间的速度和加速度关系的显式数学模型，为这种机构的运动分析提供了简便有效的数学工具

The ranks of scientists and technicians engaged in industrial departments in the urban district of Qiqihaer city at present is quantitatively analyzed and calculated using the mathematical method of calculating society labour capacity, and adopting linear mathematical model without constant term; The scientists and technicians requirement by the end of this century is forecasted in this paper.

本文采用计算社会劳动生产率的数学方法，选用无常数项直线型数学模型，对齐齐哈尔市区工业现有科技队伍进行了定量分析及计算，并对本世纪末科技队伍总的需求做了预测。

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。