有理函数

本文提出了基于Delaunay多边形化的多边形单元有理函数插值格式。

The rational function interpolation scheme of Delaunay polygonal elements was presented .

具有预先给定极点的有理函数插值问题的Hermite型插值公式

Hermite-type Interpolation Formula for Rational Function Interpolation Problem With Prescribed Poles

Hp（p≥1）空间中有理函数的最佳逼近

On the Best Approximation by Rational functions in the HP ( P1 ) Space

具有给定极点的有理函数对H′pHw类函数的最佳逼近的阶的估计

On the degree of the best approximation by rational functions with fixed poles in h_p ′ h_w class

此外，我们还对任意两个有理函数的Fourier变换给出了乘积。

Moreover , we give the product for the Fourier transformations of any two rational functions .

一类基于置换有理函数的RSA公钥体制

A RSA-Cryptosystem Based on A Class of Permutation Rational

具有共形迭代函数系统有理函数Julia集的性质

The property of the Julia set of rational functions with conformal iterated function system

文章给出了一些有理函数它们的Julia集为整个黎曼球面。

The paper gives some rational functions whose Julia sets are the whole Riemann sphere .

Delaunay多边形单元的有理函数插值格式

Rational Function Interpolation Scheme of Delaunay Polygonal Elements

关于函数空间Ep（P1）中有理函数的最佳逼近（EplP≤+∞）中具有给定极点的有理函数最佳逼近问题

On the best approximation of functions in the e_p ( 1p ≤ + ∞) space by rational functions with preassigned poles

实轴上含有极点的有理函数积分及其Cauchy主值

On the Integrals of Rational Functions When Having Pole in the Real Axis and Their Cauchy Principal Value

具有予先指定的极点的有理函数在Bergman空间中的最佳逼近

On Best Approximation by Rational Functions with Preassigned Poles in Bergman Spaces

基于此，鲁凯生教授运用多元有理函数域F（z）上系统这一研究系统结构的新工具，对系统的结构性质做了大量理论研究。

Based on this , Professor Lu Kai-Sheng uses Rational function systems with multi-parameters over F ( z ) as the new method to study the system structure .

Bergman空间的有理函数逼近

Rational Function Approximation in Bergman Space

在第四章中，给出了关于有理函数的有理Blossom的定义、唯一存在性以及对偶泛函性质；

Existence and uniqueness property and dual functional property of the rational blossom are given . Specially , the blossoming form for rational B (?)

在多元有理函数域上建立RLC网络的状态方程的计算机分析程序

A Computer Analysis Program for Founding State Equation of RLC Network over the Field of Rational Functions in Multi parameters

利用Markov划分与共形迭代函数系统的理论，获得了几何有限有理函数Julia集的性质。

By the theory of Markov partitions and the conformal iterated function system , we obtain the property of the Julia set of the geometrically finite rational functions .

建立多元有理函数域上RLC电网络状态方程的软件设计

The Software Design for Founding the State Equation of RLC Electric Network over the Field of the Rational Functions in Multi-parameters

构造的有理函数插值与Shepard型插值相比，考虑了平面节点分布对插值的影响；

Compared with Shepard interpolation , the distribution of nodes is considered in the RFI .

本文利用MATLAB求解《复变函数与积分变换》中的留数、有理函数展开、富里叶变换、拉普拉斯变换和线性微分方程组等若干问题。

Here MATLAB is utilized to solve several problems in Complex variable function & integral transform , such as : residue , rational function , Fourier transform , Laplace transform and system of linear differential equations .

随着新型传感器的技术发展，特别是高分辨率商用卫星的运行，有理函数模型（RationalFunctionModel，RFM）在解决影像点定位和影像几何纠正方面的优越性体现得越来越明显。

With the development of the new sensor , especially the circulation of the high resolution commercial satellite , The advantage of the Rational Function Model ( REM ) becomes predominant in resolving imaging points positioning and imaging rectification .

本论文中，作者利用多元有理函数矩阵（亦称为F（z）上矩阵）来描述电网络，研究它的结构能控性、能观性等性质，克服了他们的缺点。

In this paper , author uses rational function matrix in multi-parameters ( also named matrix over F ( z )) to describe electrical networks , studies its structural controllability and observability etc. and overcomes their shortcomings .

本文讨论了一类有理函数映射下的Julia分形集的性质，以及构造这类分形集的广义割线方法，并证明了该方法的收敛性。

In this paper , a class of Julia fractal patterns generated from rational function mapping are discussed , and their construction method , generalized Secant method , is given .

基于Matlab下的分析结果表明，与Pade有理函数对est的近似数值拉普拉斯反变换方法相比，该方法参数更容易选择，计算更准确。

The simulations based on Matlab show that the parameters are more convenient to select and the results are more accurate than those based on approximation of Pade rational function to est .

与一般有理函数计算不同，S-B算法可以避免矩阵求逆运算。

Compared with the common method in rational function calculation , The S-B method can void matrix inversion .

关于有理函数Maclaurin展开

The Maclaurin Expansion for Rational Function

获得了其多种形式的显式精确解，包括孤波解、三角函数解、有理函数解、Jacobi椭圆函数周期解和Weierstrass椭圆函数周期解，进一步丰富了这两类方程的解。

A variety of explicit exact solutions , such as solitary wave , triangular periodic , rational , Jacobi and Weierstrass elliptic function periodic solutions are obtained .

正交有理函数与有理Radau求积公式

Orthogonal Rational Functions and Rational Radau Quadrature Formulas

在研究多元有理函数域F（z）上RLC电网络的结构性质时，要建立其状态方程和能控（观）性矩阵，就要用到符号矩阵的运算。

In order to research the structure properties of RLC network over F ( z ), it is necessary to build state equations , and then use them to analyze the controllability ( observability ) with symbolic matrix operation .

本文研究了当xt为ARMA序列和线性系统的频率响应函数H（λ）具有可用式（9）表示的有理函数形式的条件下关于式（2）的最优解。

This paper investigates the specific optimum solution of formula ( 2 )( 6 ) for a linear system under the conditions of an ARMA series xt and a rational frequency response function H (λ) which can be expressed by formula ( 9 ) .