有理函数

It introduces normal families, including equicontinuity, Arzela's theorem, Montel's and Marty's theorems, Zalcman's lemma; univalent functions, including Koebe's and de Branges' theorems; quasiconformal mappings, including conformal length, extremal length, geometric, analytic and metric definitions, quasiconformal extension, distortion theorem, quasicircle; iteration of rational functions, including fixed points, the Fatou and Julia sets, periodic points, Siegel disks, the Hausdorff measure and dimension, etc.

具体为：正规族，包括等度连续性、Arzela定理、Montel和Marty正规定则、Zalcman引理；单叶函数，包括Koebe定理和de Branges定理；拟共形映照，包括共形模、极值长度、几何、分析和距离定义、拟共形延拓、偏差定理，拟圆周等；有理函数的迭代，包括不动点、Fatou集和Julia集、周期点、Siegel盘、Hausdorff测度和维数，等等。在教学内容上充分体现综合性、前沿性。

Firstly, the paper sets up a rational function model for the long run relationship between economic growth rate and the inflation rate by adding the cross product term of the both into the traditional model of "output-price" Phillips curve. The empirical analysis shows that the product term has substantial impact on the model\'s stability.

第一，本文在传统"产出一物价"型Phillips曲线长期模型中，加入了表现经济增长率与通货膨胀率乘积效应的交叉乘积项，建立了表现二者之间长期关系的有理函数模型。

It is wellknown, composition of functions is a fundamental operation in all mathematics and has been studied for a long time, for example, in the iteration of rational functions and in the ergodic theory.

事实上函数的复合是数学各个分支上的一种基本运算，且有悠久的历史，例如有理函数的迭代或可测函数空间上的遍历理论问题。

And we know by study, so long as system is controllable and observable at the structure over the field F(z of the rational functions in multi-parameters, it is always controllable and observable over the field R of real numbers.

通过研究我们知道，一个系统只要在结构上多元有理函数域(F上是能控能观的，则意味着实数域上该系统实际上总是能控能观的。

There exists t∈K, such that K/Fq is a finite separable extension, where Fq isa finite field with q elements, k = Fq is the rational function field over Fq.

存在t∈K，使得K/Fq为有限可分扩张，其中Fq为q元有限域， k = Fq是Fq上的有理函数域。

And they got somecodes with better parameters, In [12], San Ling, Harald Niederreiter and Chaoping Xing have constructed a kind of linear codes using elements from any finite extension F_q~s(s≥3) of F_q. The rational functions are linearly combinations of the product ofsymmetric polynomial power.

San Ling，Harald Niederreiter以及Chaoping Xing在[12]中利用F_(s≥3)中元来构造一类线性码，有理函数取对称多项式的幂的乘积的线性组合，这就使码的长度可以任意大。

Including the Jacobi elliptic function, the hyperbolic function, the trigonometrical function and the rational function, the infinite sequence multi-skill new exact solution through several forms compound.

这里包括Jacobi椭圆函数、双曲函数、三角函数和有理函数，通过几种形式复合而成的无穷序列复合型新精确解。

Indefinite integral concept,, indefinite integral nature of the basic integral formula, the indefinite integral proofs, indefinite integral substitution integration, integration by parts, the indefinite integral rational function integral.

不定积分概念，，不定积分性质，基本积分公式，不定积分证明方法，不定积分换元积分法，分部积分法，不定积分有理函数积分。

Indefinite integral concept,, indefinite integral nature of the basic integral formula, the indefinite integral proofs, indefinite integral substitution integration, integration by parts, the indefinite integral rational functions.

不定积分概念，，不定积分性质，基本积分公式，不定积分证明方法，不定积分换元积分法，分部积分法，不定积分有理函数积分。

This paper discusses the theory and several algorithms of rational function interpolation.

本课题对有理函数插值方法的理论及其算法进行了研究。

Neither the killing of Mr Zarqawi nor any breakthrough on the political front will stop the insurgency and the fratricidal murders in their tracks.

在对危险的南部地区访问时，他斥责什叶派民兵领导人对中央集权的挑衅行为。

In fact,I've got him on the satellite mobile right now.

实际上 我们已接通卫星可视电话了