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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。

Discussions mainly on the solution and its simple applications of the equation of interest rate and amount of circulating fund are given. The discussions also involve the proof of tending to the equilibrium state of network of stock market based on the time discrete form of the equation by using Banach theorem of contraction mapping, and the influence of amount of circulating fund with exponential attenuation due to the decreasing of banking interest rate.

文中着重讨论利率_流通量方程的解及其简单应用，包括时间离散化时股市网络用Banach收缩映射定理证明最终趋向平衡状态，以及银行减息引起资金流动按指数型式衰减等。

The width is also affected by, apart from the need to replace lost bone, the action of the mandible on opening, and the contraction of the masseter .

除了代替牙槽骨的丧失，基托翼缘宽度还受下颌开口运动和咬肌收缩的影响。

Also psychological factors and spirit, and if daytime fatigue, sleep, although the cerebral cortex in the suppression, but also issued a "signal" command for a short while Masticator consecutive contraction.

另外也与精神心理因素有关，如果白天过度疲劳，睡着后，虽然大脑皮层处于抑制状态，但也会发出"信号"命令咀嚼肌作短暂而连续的收缩。

The disease occurs in children and adolescents, mainly due to intestinal parasites in the body, such as roundworm, can secrete a variety of toxins, toxins and parasites metabolites stimulate sleeping corresponding parts of the brain, leading to sustained Masticator molars appear contraction.

这种疾病好发于儿童及青少年，主要是由于体内有肠道寄生虫，像蛔虫，能分泌多种毒素，毒素及虫体的代谢产物会刺激熟睡中大脑的相应部位，导致咀嚼肌持续收缩而出现磨牙。

Children during the day玩得太excited, too excited or fatigue, or frightened, or nervous during the day and learning to the cerebral cortex and inhibit the process of the excitement out of balance, inducing the movement Masticator temporary irregular spasm or contraction, resulting in the teeth at night.

1小儿白天玩得太兴奋，过于激动或疲劳，或受了惊吓，或白天学习紧张，使其大脑皮层的兴奋和抑制过程失去平衡，诱发咀嚼肌的运动发生一时性不规则的痉挛或收缩，产生了夜间磨牙。

The roundworm, pinworm, such as intrusive, so be adversely stimulate the intestinal wall, causing the reflection Masticator contraction; Secondly, there is a

的蛔虫、蛲虫等侵扰，使肠壁受到不良刺激，引起咀嚼肌的反射收缩；其次是有

Dominated by the occurrence of masticatory muscle contraction caused by tension.

经支配的咀嚼肌发生紧张收缩所引起。

This paper uses contraction mapping approach in order to give sufficient condition for solvability about this kind of matrix equation in given conditions.

文章利用压缩映射思想给出了一类矩阵方程在给定条件下有解的充分条件。

Probably because the alternative contraction mayn't is felt to be awkward.

或许是由于可替代的缩写 mayn't 感觉起来有些笨拙的缘故

The split between the two groups can hardly be papered over.

这两个团体间的分歧难以掩饰。

This approach not only encourages a greater number of responses, but minimizes the likelihood of stale groupthink.

这种做法不仅鼓励了更多的反应，而且减少跟风的可能性。