In field of circuit theory, the conclusion about structure properties of electrical network based on the field of real number is determined by both network structure and the value of element, but structure properties based on the field of rational functions in multi-parameters is only determined by network structure and not by the value of elements (because these elements do not have values).
在电路理论领域内,关于电网络结构性质的研究都是基于实数域上的(描述系统的状态方程系数矩阵都在实数域上),得到的有关网络性质的结论由网络的结构和网络中元件的取值共同决定,但是基于多元有理函数域F(z)上的研究方法所获得的网络的性质只由网络的结构决定而与网络中元件的取值无关(因为这些元件都没有取值),只需观察网络的结构即可知道网络是否能控能观,方法直观简便,特别适合电网络的分析与综合。
On the partial fraction expansion of rational functions;
关于有理函数的部分分式展开
Application of derivative operation in rational function integral;
导数运算在有理函数积分中的应用
Density and approximation rate of Müntz rational functions on infinite intervals.;
无界区间上Müntz有理函数的稠密性和逼近速度
Fitting method of data based on Rational functions;
基于有理函数的数据拟合方法
The way of realizing free camber mouldiing in three-dimensional spaca with rational functions is introduced in this paper,and the programming algorithms for applying this method to CAM are also discussed.
本文讨论用有理函数参数方程理论实现三维空间自由曲面构造的方法，并粗略描述了运用该方法实现计算机辅助制造的算法。
The theorem was proved: Let f be a transcendental entire function,R be a nonzero rational functions,k and m be two distinct positive integers,and d=(k,m) be the greatest common divisor of k and m.
主要证明了以下定理:设f是超越整函数,R是非常数有理函数,k、m是两个不同的正整数,d=(k,m)是k、m的最大公约数。
A simple discriminance on the matrix of rational number field Q to cycle matrix
有理数域Q上的矩阵为周期矩阵的一种简易判别法
Some common results which used to decide a polynomial on rational number field irreducible are explained in this paper.
首先介绍了判别有理数域上多项式不可约的常用结论,讨论了形如f(x)=φ(x)(x-a1)(x-a2)…(x-an)+1的多项式的性质,并且得到了定理:若n>6,φ(x)>0且它的次数小于n的一半,则f(x)=φ(x)(x-a1)(x-a2)…(x-an)+1在Q上不可约。
By indirectly applying the Eisenstein discriminant method,this paper explores and discusses two ways of judging the integral coefficients polynomials to be irreducible over the rational number field.
探讨了间接应用艾森斯坦因判别法判断整系数多项式在有理数域上不可约的两种途径。
Structural Controllibility Study of Electrical Network over Field F(z) of Rational Functions in Multi-parameters;
多元有理函数域F（z）上电网络结构能控性研究
The Software Design for Founding the State Equation of RLC Electric Network over the Field of the Rational Functions in Multi-parameters;
建立多元有理函数域上RLC电网络状态方程的软件设计
The Value Fields of Rational Function y=f(x)/g(x);
有理函数y=f(x)/g(x)的值域
Model of Road Roughness in Time Domain Based on Rational Function
基于有理函数的路面不平度时域模型研究
Region Control of a Rational Quadratic Interpolating Curve Based on Function Values
基于函数值的有理二次插值曲线的区域控制
Relationship between Generalized Partially Bent Functions and Generalized Bent Functions over Finite Fields
有限域上广义部分Bent函数与广义Bent函数的关系
Neighborhoods of Two Classes of Analytic Functions with Negative Coefficient
两类具有负系数的解析函数类的邻域
rational function approximation
有理函数逼近[近似](式)
generalized rational distributed lag function
广义有理分布滞后函数
The Rational Solution of One and Two Dimensions KP Equation;
Kadomtsev-Petviashvili方程的有理函数解
The Maclaurin Expansion for Rational Function;
关于有理函数Maclaurin展开
The set of all values a given function may take on.
值域某固定函数所具有的所有值
The set of all possible values of an independent variable of a function.
定义域函数自变量的所有可能值的集
On Carleman Boundary Value Problem for Bianalytic Function in Bounded Domain;
有界区域上双解析函数的Carleman边值问题
Several Immovable Point Theorems about One-Variable Real Function and Complex Function;
有关一元实函数和复函数不动点的几个定理
A BIVARIATE RATIONAL INTERPOLATION BASED ON FUNCTION VALUES AND THE PROPERTIES
一种基于函数值的二元有理插值函数及其性质
A Kind of Accurate Expression of the Rational Matrix Exponential;
有理矩阵指数函数的一类精确表达式
control system with nonrational transfer functio
具有非有理传递函数的控制系统