数学

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。

The paper discusses the mathematical symbol s origination, both their growth and features, and how these symbols play their roles in the development of mathematics as well.

论述了数学符号的产生、发展及数学符号的特点和数学符号在数学发展上的作用。

It mainly discusses the cultural attributes of mathematics: math is science, math is arts, math is philosophy ,math is tool; And it also talks about educational value of mathematics: cultivating peoples scientific knowledge and humanistic quality.

本部分主要探究数学的文化属性，从数学语言的角度具体阐述数学文化的具体表现，即数学是科学、是艺术、是哲学、是运用的工具；以及它的教育价值，即培养人的科学素养和人文素养。

This is not strange math, mathematics would have a very good math as cute as a cow, but if only in textbooks and classroom, is that mathematics can not see the whole picture, like a cow just to see a small piece so boring.

这不怪数学，数学本来很好，数学就象一条牛一样可爱，但如果仅仅在课本和课堂讲，是不能看到数学的全貌，就象仅仅看到了牛身上的一小片那么枯燥。

The second chapter is to analyze Freudenthal's thought of mathematics education in brief, and summarize four principles: realistic mathematics, mathematization, thinking and recreation. The next two chapters are case studies, the intention of which is to test the efficiency and practical value of Freudenthal's thought of mathematics education.

归纳了他数学教育思想中的四条原则：数学现实、数学化、反思和再创造论文第三、四两章属于实证研究，通过这两章对弗赖登塔尔数学教育思想的有效性和实践性进行验证。

In order to solve some teaching problems of advanced mathematics, the authors of this paper advance whole teaching design, and attempt to expound it s principium with characteristics of mathematics and leaning mentality, then, calculous and part problems are exampled to explain the whole teaching design of advanced mathematics.

为解决高等数学教学存在的问题提出整体教学设计，从数学本身的特点和学生数学学习心理的角度阐述整体教学设计的原理，并以微积分和局部问题为例说明高等数学的整体教学设计。

This article referred to the classificational idea to discuss, and combined plenty of cases to explained the importance of the classificational idea when we solve some mathematical questions,also raised the principles and criterions of implement mathematical thoughts, with more and more useful ideas apply in the education practises,primary school students will set their mathemetical consciousness,train their quality in mathematic.

本文专门讨论分类思想，结合大量实例系统地阐述了分类思想在解决数学问题中的重要性，并提出了在课堂中渗透分类思想的原则和标准，以期这种数学思想能够更多地，更有效地运用到教学实践中去，从而树立小学生的数学意识，培养他们的数学品质。

During the study, in order to decrease the complexity, the article simplifies the geomorphic process, defines the ideal state, and, according to the geomorphic principle, reasons out some of the 4-Dimensional Geomorphic Mathematical Sub-Models that include the 4-Dimensional Tectonic Geomorphic Mathematical Model, the 4-Dimensional Depositional Geomorphic Mathematical Model, and the 4-Dimensional Denudate Geomorphic Mathematical Model.

在研究过程中，为了减低复杂程度，简化了地貌过程，规定了理想条件，并根据地貌学原理推导了部分理想条件下的四维地貌数学模型，分别是四维构造地貌数学模型、四维沉积地貌数学模型和四维剥蚀地貌数学模型。

The methods of documental research and experience-summarizing research are used in the thesis.

本文采用文献法、经验总结法，在研究数学阅读教学实施现状和对数学阅读价值分析的基础上，充分论证了高中数学新课程中设立数学阅读内容的必要性。

Though written examination is an important way to the quantitative assessment, it ought to emphasize the understanding of mathematical concepts, the grasp of methods of mathematical thoughts, the ability of mathematical thinking deeply, exploringly and revolutionarily to deal with real problems.

笔试仍是定量评价的重要方式，但要注重考察对数学概念的理解，数学思想方法的掌握、数学思考的深度、探索与创新的水平以及应用数学解决实际问题的能力等。

Singer Leona Lewis and former Led Zeppelin guitarist Jimmy Page emerged as the bus transformed into a grass-covered carnival float, and the pair combined for a rendition of "Whole Lotta Love".

歌手leona刘易斯和前率领的飞艇的吉他手吉米页出现巴士转化为基层所涵盖的嘉年华花车，和一双合并为一移交&整个lotta爱&。

This is Kate, and that's Erin.

这是凯特，那个是爱朗。