数学

Mathematics application problem teaching is one of the key points in high school mathematics teaching.

数学应用题教学，是高中数学教学的重点之一。

The understanding mathematics teaching is one kind of teaching whose goal is to promote the knower to understand mathematics fully.

理解性数学教学是一种以促进理解者充分理解数学为目标的教学。

Hemin, a math teacher in Kurdistan Iraq says good math skills help in life.

伊拉克库尔德斯的一名数学老师Hemin认为，好的数学技能将会终身受益。

Leastsquare method and Lagrange's interpolation formula see their applicationsfor fitting fore-and-aft lines-whose aim is to calculate the intersection point ofequivalent inclined waterline-and differences. In order to replace theinconvenient alternate conduct of drawing and calculating, improvement hasbeen introduced into the paper which means all work can be done bycomputer. Capacity calculation cannot be done without boundary layer build-up. Fit every area curve and area moment curve is necessary because ofinterpolation.

在第二章中，给出了B样条函数的数学表达形式，推导了B样条曲线下所围面积、面积矩公式；讨论了最小二乘法和拉格朗日插值法的数学形式，并在拟合船体型线上给出首、尾轮廓线的具体实例，对比不同方法进行拟合的差异，其目的是为了求得与等体积倾斜水线的交点；而水线的确定改变了以往人工作图与计算交替进行的不足，尝试用计算机完全代替人工作图，以求有所改进；在舱容计算中，在至少包括舱室前、后壁的范围内拟合横剖面积、面积矩曲线，插值求得任一纵向位置处的剖面，以解决舱室边界条件。

Measure wotd is close.accurate.succinct and generally used. It not only concentrate foundation mathematics langrage pithy, but also deeply reveals the connotation of foundation mathematics. The subtle expression of measure woad states accurately the different meanings betWeen notions.

量词的作用在于严密、精确、简洁、通用，它不仅浓缩精炼了数学基础理论，同时深刻地揭示了数学基础理论的内涵，量词的微妙变化，准确地勾勒出概念之间的本质区别。

With the help of the concepts of Lebesgue measure and Lebesgue integral in real function,the mathematics model of concurrent design of life-oriented progressive die is advanced. Which were the Lebesgue measure and Lebesgue integral of die substructures and a general mathematics model of the relation between progressive die structure and die substructures.

运用实变函数中的Lebesgue测度和Lebesgue积分的概念，结合面向寿命的级进冲模并行设计的特点，建立了面向寿命的级进冲模并行设计数学模型—模具子结构的Lebesgue测度和Lebesgue积分，提出了级进冲模结构与模具子结构关系的一般数学表达式。

The objects of study in the course are real-valued functions defined on the n-dimensional Euclidean space; the theories of Lebesgue measure and Lebesgue integration are expounded emphatically.

实变函数》是数学专业、统计专业三级学生的一门必修课，是介绍近代解析数学领域的基础知识的一门专业基础课，内容以 n 维欧氏空间上的实值函数为对象，重点阐述了 Lebesgue 测度和 Lebesgue 积分理论。

This article rests on the higher vocational education the mire goal,had pointed out mathematics education in the higher vocational education status,the function and the duty,and aims at in the present higher professional col- leges and universities mathematics education existence question,unifies some experience,proposed set of brand-new reforms mentalities and the concrete reform plan and the measure.

本文依据高等职业教育的培养目标，指出了数学教育在高等职业教育中的地位、作用及任务，并针对目前高职院校中数学教育存在的问题，结合一些实践经验，提出了一套全新的改革思路和具体的改革方案及措施。

In this paper, the propagation and focus properties for several modes describing hollow beam are analyzed, and the focus properties for hollow gaussian mode are particularly discussed. Furthermore, a new mode, high-order Bessel-Gauss mode, is put forward to describe hollow beams. The results for high order Bessel-Gauss beams propagating through lens focusing system and free space are derived by terms of Collins integral formula.

本文分析了几种描述空心光束数学模型的传输特性和聚焦特性，着重讨论了描述非中空光束的数学模型的聚焦特性；同时提出了一种描述完全中空的空心光束的新模型――高阶贝赛耳高斯模型，并且运用Collins积分公式，分析了这种新模型的空心光束的传输特性和聚焦特性。

Leonardo 's views on mathematics and his working knowledge and use of it were peculiar to his time.

对数学的看法以及对数学的实际知识和用法是他那个时代所独有的。

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。