约束极小化

Using level-set method, mathematical representation for contimuum structures is proposed by means of the vector of level-set, and the general structure topology optimization can be expressed by a constrained functional minimization problem of a set of level set functions.

其次利用水平集方法将一般拓扑优化问题描述为一组水平集函数的约束泛函极小化问题，应用敏度分析，给出了此泛函极小化数值迭代求解公式，即水平集演化方程。

The two stage method by-passes the correspondence problem and ill-posed problem encountered in the general motion analysis, and avoids the local minimum problem of the spatial-constrain-based iteration method.

本文推广了全景图象方法和外极面图象方法，从而使之能适用于具有抖动的图象序列分析，并避免了一般运动视觉方法的不适定问题和特征对应问题、基于空域约束的迭代方法的局部最小化等问题。

Using the convex set model to describe the uncertainty existed in the parts design.By adopting the physical planning method to construct discontentedness function of the uncertainty parameters.

用凸集模型描述零件设计中存在的不确定性，采用物理规划方法构造不确定性参数的不满意度函数，通过极小化不满意度函数最差值实现目标函数的稳健性，通过灵敏度分析实现约束函数的稳健性。

For the problems to minimize the sum of earliness penalties and resource constrained problems, the optimal algorithms are given.

对目标函数为极小化提前惩罚和问题和资源约束问题给出了最优算法。

An optimal control law is obtained by minimizing the average performance through spectral factorization and a practical control method for integrator and dead time plant is presented in the presence of plant uncertainty and control energy constraint.

首先基于一类随机模型误差的描述，定义了一个平均意义上的包含跟踪误差和控制能量在内的性能指标；然后通过谱分解极小化该性能指标，导出一个最优的控制律，从而为模型不确定性和控制能量约束并存条件下一类非自衡对象的最优控制问题提供了一种实用的控制方法。

It is a kind of itertive regularization method,and has the function adjusting regularization parameters automatically,so it overcomes the difficulties when solving the regularization parameters.

因此，对于这样的反问题，最后都可归结为极小化某些刻画问题的地质特征的测量值与理论计算值的误差平方和的函数的优化问题，约束条件为x≥0。

E. thickness of the copper wire wall, length of the single conductor wire, height of the solenoid, the exciting current and the current density, the working temperature of the conductor, time of exciting and demagnetizing, the cooling water pressure and flux density, etc..

所建立的数学模型包含3个目标函数（即能耗极小化目标函数、铜耗极小化目标函数和纯铁用量极小化目标函数）、7个设计变量（即铜管规格参数a、b、t，线圈匝数N〓、N〓，铁铠磁通密度B〓和冷却水压p）和8类14个约束条件（即铜管壁厚、单饼导线长度、螺线管高度、激磁电流与电流密度、导体工作温度、激退磁时间，冷却水压和铁铠磁通密度等约束条件）。

This paper suggest a method to minimize σ and σσ[V-1] under the constraint of pole assignment, where P is the selution to'P+P=-2In, and V is the eigenvector matrix of A+BF.

摘要本文讨论在极点配置的约束下，使σ和σ·σ[V-1]极小化的问题，其中P是'P+P=-21n的正定解，V是A+BF的特征向量矩阵。

The absorption and distribution of chromium were studied in ryeusing nutrient culture technique and pot experiment.

采用不同浓度K2CrO4(0，0.4，0.8和1.2 mmol/L)的Hoagland营养液处理黑麦幼苗，测定铬在黑麦体内的亚细胞分布、铬化学形态及不同部位的积累。

By analyzing theory foundation of mathematical morphology in the digital image processing, researching morphology arithmetic of the binary Image, discussing two basic forms for the least structure element: dilation and erosion.

通过分析数学形态学在图像中的理论基础，研究二值图像的形态分析算法，探讨最小结构元素的两种基本形态：膨胀和腐蚀；分析了数学形态学复杂算法的基本原理，把数学形态学的部分并行处理理念引入到家实际应用中。