把数学的内容慨括为三个部分：基础数学、应用数学和计算数学；
From the three basic divisions of Fundamental Mathematics, Applied Mathematics and Computing Mathematics, the newly developing trend of mathematics is discussed.
约翰是个数理经济学家，我们都热爱数学，但是约翰会讲授更多关于数学的内容。
John is a mathematical economist and we both love mathematics, but maybe John is going to do more of it than I am.
信息技术进入数学教育，不仅改变了数学的内容，也给传统的数学教育和教学方式注入了一股新鲜的空气。
Information technology has not only changed the teaching content, but also has brought fresh air into the traditional style of mathematics education.
数学从萌芽时期开始，历经了初等数学时期、变量数学时期、近代数学时期和现代数学时期。人们已经从数学的内容、表现形式、作用等方面为研究数学的特点提供了框架。
People had already provided the frame for the research of mathematical characteristics from the aspects of the content, forms of expression, the role and the research procedure of mathematics.
尽管科学理论的大致框架能被直观地勾勒出来，但当物质世界的一部分最终被理解时，它的描述看起来通常就像数学课本中的一页内容。
Though the broad outline of a scientific theory can be sketched intuitively, when a part of the physical universe is finally understood, its description often looks like a page in a mathematics text.
一位老师特别热衷于将色彩和图片引入数学教材，他认为这能让在卡通文化中长大的学生更容易理解这些内容。
One teacher was particularly keen to introduce colour and pictures into maths textbooks: he felt this would make them more accessible to pupils brought up in a cartoon culture.
加密算法通过在消息上执行一连串的数学操作从而对消息进行加密或解密，转换的是消息的外观而非其内容。
Encryption algorithms encrypt or decrypt messages by performing a sequence of mathematical operations on the message, transforming its appearance but not its content.
如果你不是一名物理学家或者数学家，《伟大设计》中有很多内容都会让你头大，尤其是些关于众所周知的时间却并不存在的观点。
There’s plenty in “The Grand Design” that, if you are not a physicist or a mathematician, will sometimes hurt your head, especially the ideas about why time as we know it does not exist.
下一讲中,会有比较多的数学内容,都是很基础的知识
The next lecture will be among the more mathematical, although it's very elementary.
培训内容包括基本数学技能和生活技能，诸如如何着装、如何展示言谈举止及处理工作场所发生的冲突等。
Instruction includes basic math skills and life skills, such as how to dress, behave, and deal with conflict in the work place.
女孩子在小学首先学到的一个内容就是男孩子比她们的数学好。
One of the first lessons that girls often learn in elementary school is that boys are better at math.
其中很多内容无疑是非常前沿——整合语言学，还有整合积分学，这是一种取代变量的数学视角。
Part of it does seem definitely new — an integral semiotics, as well as an integral calculus, a form of mathematics that replaces variables with perspectives.
今天我还将跟你们讲这些，但今天的重点是,对上次口头表述内容中的热力学,第二定律,的数学推导,我们上次看到的。
I'll show those again, but what I want to do mostly today is try to put a mathematical statement of the second law in place that corresponds to the verbal statements that we saw last time.
当然，它也包含许多你想看到的教育性数学和逻辑游戏，也采用了一些像是实时分形缩放的Xaos之类的软件，用来鼓励学习更高一级的内容。
Of course it includes several educational math and logic games you'd expect to see, it also features a few apps like the real-time fractal zoomer Xaos, designed to encourage higher learning.
目前，Bing没有显示来自WolframAlpha的此类内容，只是专注于营养和数学知识，但两家搜索引擎的深度整合只是早晚的问题。
Currently, Bing doesn't display this kind of data from Wolfram Alpha and just focuses on math and nutrition, but a deeper integration between the two is just a matter of time.
数学应用问题是中小学数学教学的一个重要内容。
Math word problems are an important part of school mathematics education.
平面几何是中学数学的基本内容之一。
The plane geometry is one of middle school mathematics basic contents.
数学形态学是数字图像处理当中的一个重要内容，它为图像处理的实现提供很有力的方法。
Mathematical morphology is an important element of digital image processing, and it provides for the realization of image processing very powerful method.
数学实验的内容体系可分为演算、验证(模拟、演示)、数学建模(数据处理、经验归纳)三个层次。
The system of mathematics experiment can be divided into three levels: i. e. figuring, validating (simulation and demonstration), mathematical modeling (data processing and experience summarizing).
数学归纳法是中学数学教学内容中的重点与难点之一。
Mathematical deduction is one of key and different points in middle school mathematics teaching.
本文以数学定理的形式指出该体系具有一类新的决定论的、物理内容明显的结果。
In this paper we point out in the form of mathematical theorem that the system possesses new and deterministic results with evident physical meanings.
也是以后学习高等数学内容的必要准备。
Is also a necessary preparation for learning advanced mathematics content in the future.
理解动力系统的渐近行为是研究无穷维动力系统的主要内容，也是当代数学物理的重要问题之一。
The understanding of the asymptotic behavior of dynamical systems is one of the most important problems of modern mathematical physics.
本文简介数学教育哲学的内容、重要性及其应用。
This paper introduces the contents of maths educational philosophy , its importance and application.
主要内容如下：首先根据弧面分度凸轮机构的运行特点建立数学模型，并进行总体设计。
The primary coverage as follows:Firstly, according to the running features of the globoidal indexing cam mechanism establishes mathematical model, then builds overall design.
主要内容如下：首先根据弧面分度凸轮机构的运行特点建立数学模型，并进行总体设计。
The primary coverage as follows:Firstly, according to the running features of the globoidal indexing cam mechanism establishes mathematical model, then builds overall design.
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