查询词典 nonlinear programming

In this paper, based on the conjugate function and the dual programming of convex programming, with the dual cone, to conic programming, the dual programming is fully discussed, the expression of the dual programming is educed, the main dualities are proved, and the dualities of the familiar conic programming are studied.

以共轭函数和凸规划的对偶规划为基础，利用对偶锥的概念，全面讨论了一般锥规划的对偶问题，严格推导出锥规划对偶规划的表示形式，给出了锥规划的主要对偶性质，并用这些结果研究了常见锥规划的对偶性。

The paper firstly analyze for nonlinear stiffness characteristic of the air spring and provide four type of hypothesis to nonlinear stiffness of the air spring, that is: rubber material nonlinear、composite of rubber and lining cloth nonlinear、 contact nonlinear and geometry nonlinear. Using test method relation curve between stiffness of air spring and on/off time of electro-magnetic valve had been established and the formula has been drawn up.

本人在2001年承担了吉林省科技厅资助的&汽车电控空气悬架系统研究开发&项目，论文的内容是该项目的核心部分，重点在于控制算法的研究和控制系统的设计，为最终在整车上实现空气悬架的自动控制进行前期的基础研究和必要的设计准备工作。

This course offers an introduction to primary convex analysis, linear programming, non-linear programming, dynamic programming, multi-objective programming, multi-level programming, calculus of variations, and optimal control, which are the optimization methods commonly used in economics and finance.

课程内容简介：本课程介绍凸分析基础、线性规划、非线性规划、动态规划、多目标规划、多层规划、变分法、最优控制，这些都是西方经济学、金融学中常用的最优化方法。

This book discusses linear and nonlinear programming, dynamic programming, integer programming and stochastic programming.

本书讨论了线性和非线性规划，动态规划，整数规划和随机规划。

A stochastic nonlinear programming model of production with delay interaction (which is a static optimization model to solve the dynamic optimization problem) is built up and transformed into a deterministic nonlinear programming model and further into a linear programming model by adding constraints.

首先根据实际需要建立关联方程有延迟的车间生产的随机非线性规划模型，即一种求解动态优化问题的静态优化模型。

Probability distribution of anchoring data can be regarded as nonlinear programming with certain restriction. Programming with the restriction can be transferred to nonlinear programming without restriction by use of Lagrange Method and can be then easily resolved by step-acceleration method of one variable.

锚固强度参数的概率分布问题可以归结为带约束的非线性规划问题，利用条件极值的拉格朗日乘数法可以将带约束的规划问题转化为无约束的非线性规划问题，并可以采用运筹学中的单变量步长加速法非常方便地求解。

Embedding the gradient direction search and new kinds of evaluation functions into the Genetic Algorithm, a special hybrid Genetic Algorithm with mutation along the weighted gradient direction to solve non-linear programming problems is developed. Then in Chapt 4, a type of nonlinear programming problems with fuzzy objective and fuzzy resources constraints is discussed, in which the objective is ill-defined and the resources possess two different types of fuzzy resources, i. e., tolerance and imprecision. By way of description and formulation of fuzzy objective and fuzzy resources, the problem with fuzzy objective and two different types of fuzzy resources is modelled into a fuzzy nonlinear programming model FO/RNLP and interpreted as three equivalent alternative crisp model to reflect the variety of the environment and the subjective and preference of the decision maker .

本文首先针对遗传算法在求解非线性规划问题中存在的问题，首次提出非可行点／染色体的主导准可行方向，准可行方向，及非可行点属于可行域的可行度等新概念，借助于模糊思想，提出了描述和度量非可行染色体的新方法；通过嵌入非可行染色体的信息于评价函数中，提出了三种新的评价非可行染色体的评价函数；把传统的启发式方法-梯度方向搜索和新的评价函数嵌入到遗传算法中，提出了一种沿加权梯度方向变异的新型混合式遗传算法；第四章针对生产实际中非清晰定义的模糊目标和两种类型的模糊资源，建立了一类连续型模糊目标／资源约束非线性规划问题的模型FO／RNLP。

LINDO for solving linear programming and quadratic programming problems, LINDO LINGO addition to the full functionality, but also can be used for nonlinear programming problem some also can be used for linear and nonlinear equations solution, and so on.

LINDO用于求解线性规划和二次规划问题，LINGO除了具有LINDO的全部功能外，还可以用于求解非线性规划问题，也可以用于一些线性和非线性方程的求解，等等。

To solve the nonlinear 0-1 programming problem, it is transformed into an equivalent continuous nonlinear programming on the domain of [0, 1] by a nonlinear equality discrete constraint.

为了求解非线性0-1离散规划问题，通过非线性等式的"离散性约束"将其转化为[0， 1]区间上等价的连续变量非线性规划。

The approximate structure of nonlinear action of climatic atmosphere and ocean is: the nonlinear action decreases usually with increasing latitude, which is related to the role of the Coriolis force in fluid motion; the nonlinear action changes with the anomalous cyclonic or anticyclonic circulation shear, for instance, when the strength of anomalous eastward zonal circulation is comparable to that of anomalous meridional circulation, the nonlinear action is the strongest; wind stress plus gradient forces enhance the nonlinear action, etc..

气候海洋与大气非线性作用的大致结构是：通常与科里奥利力对流体运动的规范作用有关，非线性作用随纬度增加而减弱。距平流场的切变结构及其沿经向与纬向上强度的比较直接改变气候大气和海洋的非线性作用(比如，向东的距平环流强度与经向环流强度相当时，非线性作用最强)，较强的外部驱动使非线性作用加大等等。

Summary In copyright infringement cases,if the alleged infringer uses or even plagiarizes the copyrighted works or parts thereof,which causes no substantially adverse effect on the normal exploitation of the work,nor does it inflict any substantial damages to the right owner,the de minis doctrine should be applied to exempt the liabilities of the defendant and seek the balance of interests between the right owner and the general public embodied by the copyright law.

在侵犯著作权案件中，如果被控侵权行为人虽未经著作权人的同意，使用甚至抄袭了受著作权保护的作品或作品的片段，但若情节轻微，未对该作品的正常使用产生任何实质不利的影响，亦未对权利人的权利造成实质性的损害，则应适用&不计琐细原则&，免除行为人的责任，以寻求在权利人利益与著作权法所体现的社会公共利益之间的平衡。

This new product will become our best seller.

这个新产品会成为我们最畅销的产品。