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1)  penalty constitutive eguation
罚函数本构方程
2)  penalty function method
罚函数方法
1.
This definition of strong well-posedness is used to study the convergence of a class of penalty function methods.
讨论了它与一类罚函数方法的收敛性关系。
3)  penalty method
罚函数方法
1.
We first characterize the nonemptiness and compactness of the weakly efficient solution set of a cone-constrained convex vector optimization problem in a finite-dimensional space when the objective space is ordered by some nontrivial polyhedral cone,and apply the characterizations to the convergence analysis of a class of penalty methods.
本文首先研究了在有限维空间中,当目标空间的控制结构为多面体锥时,锥约束凸向量优化问题弱有效解集的非空紧性的各种刻画,而且把结论应用到一类罚函数方法的收敛性分析上;然后研究了在无限维自反Banach空间中,当目标空间的控制结构为Pareto锥时,锥约束凸向量优化问题弱有效解集非空有界性的的各种刻画,并且把结果用来分析一类罚函数的收敛性;最后,本文分别研究了在无限维自反Banach空间中,当控制结构为多面体锥时,一般凸向量优化问题和锥约束凸向量优化问题的弱有效解集的非空有界性,而且仍然把结论应用到了一类罚函数方法的收敛性分析上。
2.
Then,we apply the characterizations to the convergence analysis of a class of penalty methods.
然后将获得的结果用于研究一类罚函数方法的收敛性。
4)  penalty function approach
惩罚函数方法
5)  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。
6)  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。
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