1) functional equation
函数方程<测>
2) functional equations
函数方程
1.
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。
2.
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
3.
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。
3) function equation
函数方程
1.
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
2.
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。
3.
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。
4) functional equation
函数方程
1.
Solutions to a class of functional equations;
一类函数方程的整函数解
2.
More notes on a functional equation;
关于一个函数方程的又一注记
3.
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
5) Potential equations
势函数方程
6) power-function model
幂函数方程
1.
The results indicated that power-function model had been interpreted as an optimum indication of P adsorbed process in virtue of the compounds application, and the parameters in model of the compounds treatments were significantly different from that .
结果表明:在聚乙烯醇、聚丙烯酰胺和聚乙二醇作用下土壤磷吸附动力学以幂函数方程为最优方程,且方程参数与单施磷酸二氢钙的处理方程参数有显著差异性。
补充资料:可测函数
可测函数
measurable function
“测霖飞黔瞥默蛊裁翼黑茬黑}箫馨犷;黑豁寨二刃夏笠赢c盟麦态任s帅bleset),区间〔x.,xZ]上的可测函数可以通过改变它在任意小测度的集合上的值而成为连续函数,这就是所谓的可测函数的C性质(H.H.Jl刃洲,1913,亦见J妙3皿C性质(Lu力hC一Property)). 2)空间X上的可测函数是相对于X中的一可选定的可测函数系A来定义的.设A是一个口环,则称X上的实值函数f是可测函数,如果对于任意实数a,有 R,自E。〔注,其中 E。={x6X:j’(劝等价于:实值函数f是可测的,如果对所有压牙d集(Borel set)B,有 R,门{x〔X:f(x)“B}任A.当A是一个。代数时,如果E。(或{x〔X:f(x)‘B})可测,则称f可测·可测函数类在算术运算与格运算下是封闭的;也就是说,如果f。(。二l,2,…)可测,那么f.+f:,f;fZ,~(f、,fZ),~(f,,几)及af(a为实数)均可测;而f。和她f。也可测.一个复值函数可测,如果它的实部和虚部可测.可测函数概念的一个推广是一个可测空间(In已巧帅陇印ace)到另一个可测空间的可测映射(n裕朗1皿bk map-p吨).B.B.ea300B撰
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