数学的

The mathematics language has stronger abstractness, so the quality of mathematics reading is influencing the study of mathematics directly.

数学语言具有较强的抽象性，因此数学阅读能力的好坏直接影响着数学的学习。

Constructionalism Study Theory offers theoretical fundaments for the math education revolution, because that the modern math building itself is built on the basis of modern math fundaments of which the convergence axiomatic system is the representative.

建构主义学习理论为数学教育改革提供了理论基础，因为现代数学的大厦，本身就是在以集合论公理体系为代表的现代数学基础上建构起来的。

This paper shows the methods of finding the sum of the Geometric Progression for the first n terms and the rule for extracting square root in Llvat , which is a famous mathematical work in the 12~ century Hindu, and compare them with the corresponding traditional Chinese algorithmic methods, in order to show the characteristics of mathematics in the two countries.

以12世纪印度著名数学著作《丽罗娃底》中的等比数列求和与开方为例，与中国传统数学中的相应算法进行比较，以展现中、印数学的算法化特色。

It is not my intention to introduce a mathematical crisis into religious arguments, although an American mathematician, when speaking of Godel's Incompleteness Theorem, did call mathematics a branch of theology.

我并不想把数学的危机问题引入宗教问题的争论中来，尽管一个美国数学史家，在谈到哥德尔不完备定理时，乾脆称"数学，神学的一个分支。"

This course mainly contents real number muster and function, limit of number sequence, limit of function, continuity, derived number and differential, differential mean value theorem and its application, completeness of real number, integral, series(including positive series and Fourier series), multiple- differential, double integral, integral with parameter, curve integral, camber integral and so on.

理解和掌握《数学分析》的概念、理论和方法，对于学生加深理解数学的基本思想和方法，培养抽象思维能力和逻辑思维能力，提高数学素养具有重要的意义。主要内容包括：实数集和函数，数列极限，函数极限，连续性，导数和微分，微分中值定理及其应用，实数完备性，积分、级数(包括幂级数、Fourier级数)、多元微分学、重积分、含参变量积分、曲线积分、曲面积分等。

The main work and innovation1 In general , a image compression method has different effect to different image . Some are fit for image which has much high frequency . Some are fit for image which has much low frequency .This paper analysis the applicability of fractal algorithm . In this dissertation , an improved algorithum is given . The basic algorithum without eight change and the joint use of quantitative coding , The compression ratio and PSNR can be adjusted , and it can get more quickly speed of coding .2 To a group of exact fractal code , the decoding image can be any resolution .With this characteristic ,choose the proper domain block and range block,this paper get an algorithum which can get higher decoding PSNR and speed than the basic fractal algorithum.3 Give a new method to calculate the scale factor . The calculation of basic algorithum is complex and enormous . The factor of scale is an important variable of the basic algorithm. Now there are two methods to calculate the factor of scale .A new method was given to calculate the factor of scale. The calculation load and complexity are reduced by the new method. Compared with the basic algorithm , the method can reduce coding time.4 The basic fractal algorithum is based on the Collage theorem and contraction mapping theorem . A mathematic model based on basic fractal algorithum is given .

本文的主要工作及创新点主要包括以下几点：1一般情况下，一种图像压缩的方法对不同特点的图像，压缩效果会有所不同，本文利用分形压缩编码对不同特点的图像进行编码，分析了分形编码对不同图像的编码适用性，利用去掉8种变换的分形编码算法与简单的均匀量化编码方案相结合，得到了一种可以调节压缩比与解码质量的分形编码方案，该提高编码速度6倍以上。2分形编码的特点之一是分形解码的分辨率无关性，即对于一组分形编码可以将其解码到任意分辨率下，本文利用分形编码的这一特点，结合不同的量化编码方案，选择合适的定义域块与值域块及适当的编解码分辨率，得到了一种提高解码质量，编码速度提高12倍以上的加速算法。3比例因子是基本分形算法中的一个重要变量，目前有两种计算比例因子的方法，文中给出了一种新的求比例因子的方法，该方法简化了求比例因子的计算，从整体上减小了基本分形算法的计算量，简化了算法4分形压缩的数学基础是不动点定理与拼贴定理，本文根据基本的自动分形编码方法，建立数学模型对其进行推导，得到了用普通数学的极限理论解释分形编码的数学表达式，从而对由基本分形编码得到的解码图像中的像素点的值给出了确定的表达式。

For finding and training young talent of mathematics, Olympic Math plays a positive role which can improve students' interests and abilities of learning mathematics and their thinking quality.

数学奥林匹克对于发现和培养青少年数学人才，提高学生学习数学的兴趣和能力，改善学生的思维品质等方面，发挥了积极的作用。

On one hand,as a typical content of mathematical subject,reasoning and proof embodies the mathematical rational spirit;on the other hand,to cultivate students' thinking ability as the main function,the mathematics without reasoning and proof.

一方面，推理与证明作为数学学科的典型内容，体现了数学的理性精神；另一方面，数学以培养学生的思维能力为主要功能，它离不开推理与证明。

Fuzzy math for how to correctly understand its ambiguity, clarity, and stochastic approximation with the ambiguity of the distinction between a discussion and links to further clear the classical mathematics of fuzzy mathematics and the relationship between the ambiguity of the objective of universality.

针对模糊数学如何正确认识其模糊性、清晰性、随机性及近似性与模糊性之间的区别与联系进行了讨论，进一步明确模糊数学与经典数学的关系、模糊性的客观普遍性。

In accord with the new fundamental attitude , the mathematical itself just constitutes the new way of concerning the being ,i.e., the way of the thought of objectifying calculation.

现代科学和现代形而上学的共同根源和一体性思维方式均来自数学因素。数学因素不但奠定了现代人们的思想基础，而且世界的图像也成为数学的图像。

Since historical times,England ,where the early inhabitants were Celts, has been conquered three times .

从有历史以来，英国，在此地早期居住的是凯尔特人，已经被征服了三次。

Bluetooth OBEX File Transfer Enables the sending and receiving of files on your phone via Bluetooth.

蓝牙OBEX文件移动允许经过蓝牙传送和接受文件。。。。