Let d(n) and φ(n) denote the pisor function and Euler s function of n respectively.
对于正整数n,设d(n)、φ(n)分别是n的约数函数和Euler函数。
In this paper, using some elementary methods, we discuss an arithmetic functional equation containing the pisor function, the sum of pisors and the Euler totient function, All even integer solutions of the equation are given, This result solves a problem concerning the generalized perfect numbers.
本文运用初等方法,讨论了一个含有约数函数、约数和函数与Euler函数的数论函数方程,给出了该方程的全部偶数解,并且解决了一个有关广义完全数的问题。
For any positive integer n,let d(n),φ(n) and σ(n) denote the pisor function,Euler\'s totient function and the sum of distinct pisors of n respectively.
对于正整数n,设d(n),φ(n),σ(n)分别是n的约数函数、Euler函数和约数和函数。
By analyzing the deforming process of conical cold forging, this paper finds out the object function and constrained functions and gets the optimum parameters of conical forging die by using optimization melhod.
通过对锥形冷锻件变形过程的分析,找出目标函数及约束函数,运用优化方法,得出了冷锻件锥形模的最佳参数。
With terminal function of spring minimal quality,with optimization parameters of the wire diameter,the mean spring diameter and the number of active coils,and with constraint function of shear stress,maximum deflection and index ect.
以弹簧的重量最轻为优化设计目标函数,以弹簧丝直径、弹簧中径和有效工作圈数为优化参数,根据剪切强度要求、最大变形条件、旋绕比等为约束函数建立了优化设计的数学模型。
Because there are many infeasible chromosomes,the genetic algorithm was mended to provide a constraint function for operating the infeasible chromosomes.
基于大量不满足刚体完全定位规则的非可行染色体存在,提出了适应最优装配操作选择的约束函数,为非可行染色体的进化提供了条件。
In the basis of the characteristic of complex trusses, the constraint functions are separated into local constraints and global constraints, and a simple method for working constraint functions is p resented in this paper.
根据复杂杆系结构的特点,将约束函数分为局部约束和全局约束,提出了一种用于约束函数处理的简化方法。
And sampling formulas of the expected aim, whole optimum aim F(x ) and restrained functions are given.
文中重点讨论了运动矩阵的建立,仿生手指的结构模拟与教学描述,给出了预期目标的采样式,总优化目标F(x)与约束函数g1(x)~g42(x)。
3-D Nonliner Contact Analysis Based on Constrain Function Method under Large-displacement Effect
基于约束函数法的大位移三维非线性接触分析
Research on Methods of Smoothing Functional Data with Some Constraints Based B-Spline Basis with Roughness Penalty;
基于B样条基粗糙惩罚的某些约束函数型数据光滑方法研究
bound for objective functio
目标函数的约束条件
New Violation Constrained Functions in the Filter SQP Method;
滤子SQP方法中新的违反约束度函数
A Modified Penalty Functions Method for Inequality Constraints Minimization;
不等式约束的一种修改的罚函数方法
Smooth Exact Penalty Functions for Constrained Optimization;
约束最优化问题中的光滑精确罚函数
AKNS HIERARCHY WITH AN INTERFERENTIAL FUNCTION AND THE CONSTRAINED SYSTEMS;
具有干扰函数的AKNS族及约束系统
A nonlinear Lagrangian for constrained programming
求解约束规划的一个非线性Lagrange函数
Penalty Function Algorithm for Solving the Constrained Optimal Control Problem
约束最优控制问题的磨光罚函数算法
Based on Restrains Three Times of Transects Interpolating Function and Tts the Application
基于约束三次样条插值函数及其应用
The admissibility of functions is regulated by continuity requirements and boundary conditions.
函数的容许性由连续性要求和边界条件来约束。
ε Optimal Solution for a Sort of Unconstrained Nondifferentiable Optimization Problems
含有非光滑函数的一类无约束问题的ε-最优解
Augmented Lagrangian Function Methods for Solving Constrained Optimization Problems;
求解约束优化问题的增广拉格朗日函数法
Use NCP Function for Solving the KKT System of Inequality-Constrained Optimization Problems;
利用NCP函数求解不等式约束优化问题的KKT系统
The Filled Function Method for Solving Constrained Global Optimization;
求解约束全局最优化问题的填充函数法
A Class of New Filled Functions for Solving Constrained Global Optimization;
求解约束全局优化问题的一类新的填充函数
An Exact Penalty Function Method for Nonlinear Constrained Optimization Problem
求解非线性约束优化问题的精确罚函数方法
Filled Function Methods for General Constrained Global Optimization Problems
有约束的连续规划问题的填充函数方法