查询词典 biholomorphic mapping

Topics covered include: nonlinear ordinary differential equations; planar autonomous systems; fundamental theory: Picard iteration, contraction mapping theorem, and Bellman-Gronwall lemma; stability of equilibria by Lyapunov's first and second methods; feedback linearization; and application to nonlinear circuits and control systems.

课程的主题包括：非线性常微分方程组；二维自治系统；与课程相关的基本理论，如比卡迭代法，压缩映射定理，Bellman-Gronwall引理，平衡点稳定性分析的李雅普诺夫第一种方法和第二种方法，反馈的线性化；以及非线性电路和控制系统的实际应用。

This shows that the Riemann mapping theorem of n-dimensioanl quasiconformal mappings holds in the class of bounded and convex domains in ■~n.

证明n维空间中的有界凸域D能被拟共形映射到n维单位球B~n(0，1)，即D是拟球，从而说明拟共形映射中的黎曼定理在n维空间中的有界凸域类中是成立的。

The second section: Under the conditions of nonlinear boundary controbility, we consider the initial boundary value problem of Camassa—Holm equations with dissipative. By using the contractive mapping fixed point theorem and a priori estimates, the existence of global smooth solution, global attractor in H〓, time periodic solution or almost-periodic solution and the global exponential stability are proved.

第二部分：在非线性控制边界条件之下，对于带耗散项的Camassa—Holm方程的初边值问题，用压缩映射不动点原理及先验估计方法，证明了整体光滑解的存在性、整体解的指数稳定性、H〓空间中整体吸引子的存在性以及时间周期解和殆时间周期解的存在性。

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。

Proposed in the p aper are the ordered monotony property of MFNNs when the transfer function is mo notone, the continuous mapping theorem, and non-approximation theorem to functi on.

给出了单调传递函数的MFNNs按序单调特性、连续映射定理以及非函数一致逼近定理。

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。

Through establishing the different instance libraries and Mapping tables, transformation of the model information could be realized well.

通过建立不同的实例库和Mapping表，较好实现了模型信息的转换。

Opengl some routines, is the three-dimensional image of basic mapping methods, such as transformation.

详细说明： opengl的一些例程，主要是三维图像的基本绘制方法，变换等。

The company also can provide first-class customers for mapping, design, transformation, according to the customer and custom design drawings of manufactured products such as a wide range of services.

公司同时可以为客户提供一流的测绘、设计、改造、定制以及根据客户的设计图纸制造产品等多项服务。

Factory can also undertake survey and mapping, design, transformation and processing of business volume, and make full use of our experience in screw design, so customers have super-complex products!

本厂还可承接测绘、设计、改造及批量加工的业务，并充分运用我们的螺杆设计经验，使客户得到物有所超的产品！

Apllied the data of QuickBird-2——the highest resolution remote sensing,and based on the theory and methodology of fractal geometry,we have quantitatively studied remote sensing lineations in Gaolong gold deposit of Guangxi.

采用Quick Brid-2高分辨率卫星遥感数据，通过分形几何学的盒计维数法，定量研究广西高龙金矿区遥感线性构造。

So, sometimes, to change the color can not be your food (referring to the above-mentioned crustacean) has been a sign of boiling over.

所以，有时，来改变颜色，不能你的食物一直是沸腾了的迹象。