本文研究带集合约束的向量极值问题。
The paper deals with the vector extremum problems with set constraint.
讨论了给定边数和顶点数的图的一类极值问题。
We consider the family of graphs with a fixed number of vertices and edges.
图像重建常常被转化为解非线性无约束极值问题。
The image reconstruction is often converted to be the nonlinear unconfined extreme problem.
本文主要给出两个几何极值问题的证明及运用推广。
This paper discusses on identification and application extension about two geometric extremum problems.
在很多实际问题中，会遇到求连续函数的极值问题。
In a lot of practical problems, one often encounters the extreme problem of continuous functions.
模的方法是研究拟似共形映照极值问题的有效方法。
Modular method is an effective method for solving extreme value problems of quasi-conformal mappings.
讨论了向量极值问题KT真有效解集的连通性问题。
In this paper, the connectedness of KTproper efficient solution set for vector minimization is discussed.
在无功率控制时，问题简化为单一变量的极值问题；
Without any power adaptation, the problem becomes a typical one dimension maximum problem.
使用遗传算法实现关于函数极值问题的求解，函数已给出。
The use of genetic algorithms achieve about extremal function of problem solving, function has been give.
变分方法可以自然的将复杂的分割转化为泛函的极值问题。
Variational method could naturally convert complex segmentation into a variational functional optimization problem.
多峰值函数的极值问题一直是优化领域中的一个难点和热点。
Extremum problem of multimodal functions is a difficult issue in optimization fields.
利用二次型的理论，给出解决多元函数极值问题的另一种方法。
Through the quadratic form theory, another solution to the extremum problem of function of several variables is given.
同时，还导出了最大推力喷管这个泛函极值问题解存在的条件。
The condition of the existence of solution of functional extreme value problem applied to maximum thrust nozzle is also presented.
近年来，凸性在许多应用数学领域的极值问题研究中已越来越重要。
Convexity has been increasingly important in recent years in the study of extremum problems in many areas of applied mathematics.
对于变分同化中经常遇到的多极值问题，一般的优化算法无法解决。
The ordinary optimization algorithm can not solve the multi-extreme value problem in data assimilation, so an improvement to steepest descent algorithm is proposed to solve the problem.
对于一般的六角链，一些重要类型的共轭分子的极值问题已得到解决。
For the general hexagonal chains, the extremal problem of some important types of conjugated molecules have been solved previously.
单叶函数的系数估计问题、极值问题研究一直倍受各国数学家高度关注。
The problems of coefficient estimates and extreme values of univalent functions are highly emphasized all the time by mathematicians from all over the world.
国际集装箱班轮运输航线规划策略，从本质意义上说是一种条件极值问题。
The international container service layout strategy is essentially a kind of conditional extremum issue.
粒子群优化聚类算法具有参数简单，收敛快等优势，但也有局部极值问题。
PSO clustering algorithm is known to have simple parameters and fast convergence, but there are also local optimal problems.
研究了求解无约束极值问题的DFP变尺度法和FR共轭梯度法的关系问题。
In this paper, the relationship of DFP variable metric method and FR conjugate gradient method is investigated.
将沙丘背风坡的稳定性问题等价于一个双参变量函数的待定边界的泛函极值问题。
The problem of the lee slope stability of dune is equivalent to the extremal problem of a functional of two-variant function with a variable boundary in this paper.
改进后的算法在提高精度的同时能够达到全局收敛，并能有效地处理多极值问题。
With the improved algorithm, the multiple hump function can be dealt with efficiently and the goal of global convergence achieved.
运用此定理，在线性空间中建立了带广义不等式约束的向量极值问题的最优性条件。
By the alternative theorem, the optimality conditions of vector extremum problems with generalized inequality constraint are established in linear space.
有一个极值问题，也有关于拉格朗日乘数法的，链式法则也会有的,约束条件下偏导数当然不会漏掉。
Expect one about a min/max problem, something about Lagrange multipliers, something about the chain rule and something about constrained partial derivatives.
本文为中低速内燃机配气机构的最佳设计，提供了统一的优化模型——条件泛函极值问题。
In this paper, we present a unified optimal model, i. e., the minimizing functional with constraints for the optimal design of critical and low velocity internal combustion engine valve mechanism.
动态规划法是运筹学中的一种常用的优化算法，可以用来求解约束条件下的函数极值问题。
Dynamic programming is an optimal arithmetic which is commonly used in operational research and can be used to solve the extreme value of the function in restricted condition.
这本书的目的是为了提供各类凸集和凸函数理论的介绍，它们在极值问题的应用中发挥核心作用。
The purpose of this book is to provide an exposition of the theory of convex sets and functions in which applications to extremum problems play the central role.
通过对两类特殊三元函数极值问题的探讨，得到了由其系数来判别它们能否取得极值的充分条件。
Via the discussion about the extremum question of two kinds of special ternary function, Obtain the sufficient condition of judging if they can get the extremum by their coefficients.
许多经济系统中的优化问题，可化为用单值非线性算子或多值算子形成约束条件的条件极值问题。
All know that most of the optimization of economic system can be converted into conditional extreme value problem which takes nonlinear operator or multi operator as constraints.
许多经济系统中的优化问题，可化为用单值非线性算子或多值算子形成约束条件的条件极值问题。
All know that most of the optimization of economic system can be converted into conditional extreme value problem which takes nonlinear operator or multi operator as constraints.
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