rational number field

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。

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。

Judgement Method of Irreducible Polynomial in Two Variables

有理数域上二元不可约多项式的判别

Some Critical Theorems of the Irreducibility of the Integer Polynomial in the Rational Field;

整系数多项式在有理数域上不可约的几个判定定理

On the Determination of the Biggest Common Factor of the Two Polynomials in the Scope of Rational Numbers;

有理数域上两个多项式的最大公因式的确定

A Differentiation of the irreduvible of the Rational Number On-field Whole Coefficient Odd -time Polynomials;

有理数域上整系数奇次多项式不可约的一个判别法

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

The Value Fields of Rational Function y=f(x)/g(x);

有理函数y=f(x)/g(x)的值域

Counting Number of Rational Points of Nilpotent Orbits of Reductive Lie Algebras in Finite Fields;

约化李代数的幂零轨道在有限域上有理点的个数

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

Counting Theorem of Symplectic Involution Matrices over Finite Field Fq and Its Application;

有限域Fq上辛对合的计数定理及其应用

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

every number has a unique position in the sequence.

数有整数有理数实数等。

The Approximation of Complex by Eisenstein Rationals and the Inhomogeneous Diophantine Approximation over the Field of Formal Series;

复数的Eisenstein有理逼近及形式级数域上的非齐次丢番图逼近

"Each handles a designated sphere of knowledge, and has several inputs and one output to the network."

每个节点管理特定的知识领域,有数个输入,并有一个输出到网络。

data broken down geographically

按地理区域细分的数据

numerical weather prediction for limited area

有限区域数值天气预报

The Analysis of FIR Digital Filter in Time and Frequency Domain

FIR数字滤波的时域和频域物理分析

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