数

Departing from basic concepts of cardinal numbers and their numbering orders, the paper differentiated and analyzed some concepts easy to be confused related to binary system, pointing out that the introduced concepts of ordinals played an important role in the development of modern mathematics. As the foundation of SHAO Yongs mathematics, the primordial Yi, in the history of mathematics, exhibits the first specially defined ordinal system, in which the binary numbering method was used at the first time.

本文从自然数及其记数法的基本概念出发，辨析了与二进位制相关的几个容易混淆的概念，指出序数概念的引入在近代数学发展中有重要意义，作为邵雍数学学派的数学基础，先天易是数学史上第一个专门定义的序数体系，该序数体系在数学史上率先采用了二进位制记数法。

O9Z6J?Kd Abstract: Departing from basic concepts of cardinal numbers and their numbering orders, the paper differentiated and analyzed some concepts easy to be confused related to binary system, pointing out that the introduced concepts of ordinals played an important role in the development of modern mathematics.

本文从自然数及其记数法的基本概念出发，辨析了与二进位制相关的几个容易混淆的概念，指出序数概念的引入在近代数学发展中有重要意义，作为邵雍数学学派的数学基础，先天易是数学史上第一个专门定义的序数体系，该序数体系在数学史上率先采用了二进位制记数法。

Such numbers also have a high probability to be strong pseudoprimes, only lower than C_3-numbers of 3-factors Carmichael numbers.

它们也有着较高的成为强伪素数的概率，在三因子的Carmichael数中，仅次于C_3-数。

We prove that any irreduciblesymmetric self-dual Lie algebra 〓 whose Cartan subalgebra consists of semi-simpleelements is in one of the following classes:(1)〓 is simple;(2)〓 is 1-dimensional;(3)〓is solvable.

第五节讨论Cartan子代数由半单元构成的对称自对偶李代数的结构，证明了不可约对称自对偶李代数g如果它的Cartan子代数由半单元构成，那么它只能是下列情形之一：（1）g为单李代数；（2）g是1维的；（3）g是可解的。

In this paper ,we study the crossing numbers of the cartesian product graph and complete tripartite graph.

本文研究某些简单图与路，星图的笛卡尔积图的交叉数和完全三部图的交叉数。

Generally speaking, calculating the crossing numbers of graphs is very difficult, there are only a few results in this area at present, and the majorities are some special Cartesian product graphs.

一般来说，计算图的交叉数是一个很难的问题，目前只有少数这方面的结果，其中大部分是一些特殊笛卡尔积图的交叉数。

Previously, researchers raised the accuracy that a robot′s hand tracks a specified path in Cartesian space mainly through increasing the number of knots on the path and the number of the path′s segments.

在以往的研究中，往往是通过在设定的路径上增加节点数和路径分段数来提高机器人手部跟踪设定路径的精度，但这种方法会导致在线计算量大幅度增加。

The thesis consists of the followingmain results:the Cauchy's integral formula on certain distinguished boundaryfor LR regular functions with values in a universal Clifford algebra 〓,theCauchy's integral theorem,the mean value theorem,the maximum modulus the-orem.the Taylor's expansion,the Laurent's expansion and the residue theoremetc..

第一章叙述了泛Clifford代数基本理论，其中，我们首先准确而又富有创造性地给出了在泛Clifford代数〓上的一个对合运算表示，由此，我们给出了在泛Clifford代数〓上的一个内积，然后，我们借此给出了在泛Clifford代数〓上的相应的两个等价的范数，并证明了若在〓上赋予其中的一个范数，则〓是一个Banach代数。

From this,I search for a way to identify the symmetry of the functional graph for the direct line or the central symmetry of the functional graph for the some dot.

这里将要向大家介绍的方法是利用一阶导数和二阶导数去判断曲线的对称性。

According to the some properties of the differentiation ,I found that the symmetry of the graph is closely related to the first-order differentiation and the second-order differentiation .from this ,I search for a way to identify the symmetry of the functional graph for the direct line or the central symmetry of the functional graph for the some dot .

摘 要：利用导数的一些性质，发现了函数图象的对称性与函数的一阶、二阶导数的密切关系。根据这些关系，找到了一种判定函数图象是否关于某一直线对称或关于某点成中心对称的方法。

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。