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Moreover, we use Linear Fractional Transformation to convert the effective performance indices, which includes conjugate poles, the DC value of output resistance, and the zeros/poles of compensator, of the circuit into the LFT mathematic models.

接著使用线性分式转换(Linear Fractional Transformation， LFT)将对电路特性具有影响之性能指标，如共轭极点、输出阻抗之直流响应值、以及补偿器的极零点转换成一LFT的数学模型。

Aiming to this problem, an algorithm based on linear programming has been proposed with its mathematic model established.

针对这种情况，本文提出了一种基于线性规划的算法，并建立了其数学模型。

Using the theory of finance mathematic and under the situation of random interest, in this paper, we discuss the proceeds or loss of loaner for giving back loan forward, and the risk of it.

并根据金融数学的理论，在随机市场利率的条件下，研究了提前还贷对贷款人或债权人的收益或损失，以及这些收益或损失的风险额度。

As far as reason for deficiency, the fault expert database is built for helping administrators determine the reason for deficiency;. As for failure prediction,the mathematic models,the logarithmic normal distribution model of network software faults and the exponential distribution model of network hardware faults,are established.

对于故障原因，建立了故障专家库以帮助管理人员确定故障原因；对于故障预测，建立了数学模型——网络软件故障率的对数正态分布模型和网络硬件故障率的指数分布模型。

Longitudinal magnification describes the longitudinal conjugated property of ideal optical system ,on mathematic form,it is the slope of the imaging curve.

纵向放大率描述理想光具组的纵向共轭性质，在数学形式上是物象曲线的斜率，从纵向放大率的定义出发，结合物像曲线，分析了理想光具组的纵向共轭规律，并举例说明其实际应用。

The dynamic mathematic model of a looper height and tension system was built on field data for hot strip finishing mills.

针对板带热连轧机活套的高度和张力系统，在工作点附近，以实际热轧现场数据为依据，建立了对象的动态数学模型。

The mathematic model of the single degree of freedom gyrocompass under electromagnetic bearings is given and the influences on the north finding accuracy and orientation time caused by the declination of the gimbal axis under elastic magnetic bearings are discussed.

提出了一种结构简单的新型磁悬浮寻北仪，建立了电磁轴承约束的单自由度陀螺罗盘的数学模型，讨论了陀螺框架轴在弹性约束下偏离铅垂方向对寻北精度及定向时间的影响。

The result showed that,if only the necessary but insufficient condition,the equilibrium condition ,was adopted to deal with the infinite uncertain boundary condition,the solution to the stress was non-unique due to the fact that the boundary problem here was a mal posed mathematic problem.

通过两个典型的半无限体实例，对水平表面作用无限均布压力下弹性地基的应力和位移解答进行研究，结果表明：对边界条件不明确的无限边界仅采用解答的必要非充分条件——平衡条件来等效处理，其应力解答不是唯一的，因为此时该边值问题不是一个适定的数学问题。

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。

And the mathematic model also has been set up.

建立了系统的数学模型。

"Yes, now you can give yourself airs," she said, you have got what you wanted.

"对了，您现在高兴了，"她说道，这是您所期待的。

Then the LORD said to me: Rebel Israel is inwardly more just than traitorous Judah.

上主于是对我说：＂失节的以色列比失信的犹大，更显得正义。