The form of the Cauchy difference is generalized, and several characterizations are given for the function F:G×G→H with the difference representation F(x,y)=f(x+y)+f(x-y)-nf(x)-nf(y) , by means of systems of functional equations, wh.
推广了 Cauchy差分的形式并且利用函数方程组给出了函数 F:G× G→ H具有差分表示 F( x,y) =f ( x+ y) + f ( x- y) - nf ( x) - nf ( y)的几种刻画 ,其中 n是一正整数 ,f是 G到 H的函数。
With the two kinds of ducts as an example, the variation of cross sectional area and the functional equations are discussed in detail.
应用微分几何、空间解析几何以及画法几何的原理 ,提出了构成两种典型的直纹渐变曲面管道几何模型的简易方法 ,并以这两种管道为例 ,对其横断面的变化及其函数方程进行了详尽的讨论和分析 ,并为这类管道的计算机辅助设计提供了方便实用的数学模
The basic elementary functions represented by functional equations were obtained by using the methods of solving ordinary differential equations and initial value probe.
用求解常微分方程及其初值问题的方法得到由函数方程表示的基本初等函数。
A function equation related to the Smarandache function and its positive integer solutions;
一个与Smarandache函数有关的函数方程及其正整数解
According to the experimental research of Kelong four type representative split air conditioner indoor unit of distinctness structure obtains the a variation rule for air flow,noise and motor power with fan motor rotate speed of split air conditioner indoor unit,and fits the function equations,brings forward the simple optimum design method.
通过对科龙4款具有代表性的不同结构挂壁式空调器室内机的试验研究,得出挂壁式空调器室内机的风量、噪声、功率随转速变化的规律,拟合出其所遵循的函数方程,提出一种简单的室内机风量、噪声、功率的优化设计方法。
This paper investigates into the method for determining the times of multiple roots of the nonlinear function equation f(x)=0, revising and supplementing the former conclusions,and obtains some more precise results.
文章对一般非线性函数方程重根次数的确定方法进行了探讨,对原有几个结论作了修改和补充,从而得到了更精确的结果。
Solutions to a class of functional equations;
一类函数方程的整函数解
More notes on a functional equation;
关于一个函数方程的又一注记
On a class of linear functional equations for functions of several variables;
一类多元函数的线性函数方程
Solution Formulas of Functions and Their Derivative Given by Three Types of Functional Equations;
三类由函数方程给出的函数与导数的求解公式
The Application of D’Alembert Equation in Function Equations;
D′Alembert方程在函数方程中的应用
Ulam Stability of Quadratic Functional Equation in the Space of Distributions
二次函数方程在广义函数空间上的Ulam型稳定性
Applications of Stability of Quadratic Functional Equation in Generalized Function
广义函数在函数方程稳定性问题上的应用
Entire Solutions of Functional Equation f~6(z)+g~6(z)+h~6(z)=1
函数方程f~6(z)+g~6(z)+h~6(z)=1的整函数解
On the Functional Equation φ((ψ(x))~y)=x~y;
关于数论函数方程φ((ψ(x))~y)=x~y
On the arithmetic functional equation φ(n)=s(n~7)
关于数论函数方程φ(n)=s(n~7)
Two kinds of machining methods of function equation curve are introduced.
介绍了两种函数方程曲线加工方法。
Equations of Mathematical Physics & Special Functions
数理方程与特殊函数
Two Equations Involving the Smarandache Function and Euler Function
两个包含Smarandache函数和Euler函数的方程
an equation containing differentials of a function.
含有微分函数的方程。
Weierstrass elliptic function solutions for MKdV equations;
MKdV方程的Weierstrass椭圆函数解
The Rational Solution of One and Two Dimensions KP Equation;
Kadomtsev-Petviashvili方程的有理函数解
On an Equation of the F.Smarandache Function
关于F.Smarandache函数的一个方程
An Equation Involving Smarandache Function
一个关于Smarandache函数的方程
An equation involving the pseudo Smarandache function and its dual function
一个包含伪Smarandache函数及其对偶函数的方程
an equation involving exponential functions of a variable.
关于变量指数函数的方程。
Numerical Methods to Solve Partial Differential Equations Based on Spline Functions;
基于样条函数的偏微分方程数值解法