数学

In the layout analysis, we chose a bottom-up algorithm based on nearest neighbor connect-strength and line confidence to segment the image area, table area and text area; In the printed Chinese character recognition module, we calculate the degree of incorporative difference to match the character, also define a refusal class which could orientate the mathematical expression automatically; Put the expression into the formula processing module, then we chose the character segmentation method based on connectivity and the template match method to recognize the character in the mathematical expression and at last we used the structure analysis based on the character to transform the two dimension formula into one dimension Word EQ expression.

在版面分析中，采用基于最近邻连接强度和行列可信度的自底向上的版面分析算法，分割出图像区域、表格区域和文本区域；在汉字识别模块中，采用回溯切分方法切分出字符段，计算合并差异度与特征字典比较，通过引入汉字的拒识类，从而实现了公式的定位；将定位后的数学公式送入公式识别器，在公式识别器中采用基于连通域搜索的字符分割方法和模板匹配方法对字符识别，对于识别出的字符，再采用基于特征字符的结构分析方法，从而将二维的数学公式转化为一维的Word EO域语句。

Mathematics proved to be direct and two indirect method, the reduction to absurdity is a kind of indirect proof, it is mathematical proof of Dafa.

帮我翻译：数学证明有直接法和间接法两，反证法是间接证法的一种，它是数学证明的大法。

Current tuning is introduced, and the speed open-loop transfer function is established based on current closed-loop. A mathematical inequation about the speed open-loop transfer function is deduced, then the measured amplitude-frequency data is introduced in the inequation, thus the mathematic expressions about moment of inertia and mechanism time constant are obtained.

引入了电流校正环节，建立了基于电流闭环的速度开环传递函数，推导了关于该速度开环传递函数的数学不等式，再将实际测得的幅频特性代入此不等式中，得到了关于转动惯量和机械时间常数的数学表达式。

This paper discusses how to teach students"the product of infinite infinitesimals isn t necessarily infinitesimal" in teaching "advanced mathematics" Or "Mathematical Analysis",and the author provides some new original examples which had not been seen in currently available textbook and riches the teaching content.

文章对"无穷多个无穷小的乘积不一定是无穷小"这一知识点在"高等数学"或"数学分析"的教学中如何讲授给学生进行了一些有益的探讨，并给出了一些在现有教科书及参考书中未曾见过的独创的新例子，从而丰富了教学内容。

The infinitesimal calculus is often defined as an overlapping science of the between the dialectics and constant maths,which is usually expressed in the form of the formal logic.

对微积分学科的知识结构有深入了解，就能进一步分析微积分的思想方法：微积分是变量数学，是辩证法与常量数学交叉且用形式逻辑表达的一门最早的交叉学科。

Alexander Wylie wrote and translated many technical works such as Elementary Mathematics,Infinitesimal Calculus Ladder,Talking about Astronomy,Original Geometry Book and etc during the period he stayed in China.

伟烈亚力在中国期间，先后撰写和翻译了《数学启蒙》、《微积分拾级》、《谈天》、《几何原本》后9卷等重要的介绍西方科技的著作，将西方最新的数学、天文学等方面的知识带到了中国。

The calcalus learns is a mathematic branch connected closely with scientific application.Infinitesimal is an important componant in the theoretical system and has an outstanding effect on the forming of the basis and conception of the theory. infinitesimal ; calculus ; the calculus learns ; differential calculus ; integral calculus

引 言微积分学是建立在实数、函数和极限理论基础上，研究函数微分、积分以及有关概念与应用的数学分支。17世纪精密科学的飞速发展，天文学、力学、光学、工业技术要求数学彻底革新，导致了无穷小概念的问世，促使费马增量理论开创微分学的先河，同时奠定了柯西的极限理论。

The perfectibility of the definition about the infinitude in mathematics was analyzed firstly in this paper.

本文首先分析了无穷的数学定义存在的问题，给出了中国传统哲学之物极必反的数学表达。

The phenomenon influence the development of students in an all-round way and the phenomenon that can't satisfy the social development and body and mind development of students are called the inharmonious phenomenon in mathematics teaching.

数学教学中所有影响学生的全面发展，不能满足社会发展和学生身心发展需要的现象，都称为数学教学中的不和谐现象。

Meanwhile,the computing initiatory value meets the true value and greatly improves the convergence velocity of numerical calculation.

根据天然气管道流动状态的特点，用最小平方和法建立初始流量分配的数学模型，并用C ++语言编制出适合任何复杂管网的计算程序。2 数学模型天然

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。