约束

Kinetic equations of multibody systems with scleronomic constraint s are projected along the feasible and unfeasible directons of the constiaints respectively,and generalized accelerations of the systems are decomposed along the two directons using the bases of constraint matrix and its orthocomplement.

通过约束矩阵及其正交补的两组基，将定常约束多体系统的动力学方程沿与约束相容和不相容的两个方向上投影，并将系统的广义加速度沿这两个方向进行分解，得到描述系统运动的纯微分方程和求约束力的公式，同时提出了违约修正的一种方法。

The method based on penalty function provides an effective way to solve complex constrained optimal problems for GA.

提出基于罚函数法的约束处理方法解决了CLSP的能力约束问题，也为复杂约束优化问题的遗传解法提供了一种有效途径。

The constraints with different linearity in this model are dealt with by an approach that combines successive linearization with piecewise linearization, and in the solving process the security and stability constraints of transmission lines are directly considered to avoid the low-efficiency of both model and solution due to the passive calibration and modifying working constraints in Newton method.

对模型中线性度不同的约束，采用逐次线性化和逐段线性化相结合的方法处理。在求解过程中直接考虑线路安全稳定约束，避免了牛顿法被动校验和变更约束带来的模型和求解的低效性。

Utilizing the information of product s assembly region and carrying out decomposition upon the product according to cut-set method of graph theory, this method establishes the constraint relation of geometrical preference,.

在分析总结以往学者对装配顺序规划研究的基础上，综合拆卸法和优先约束法的特点，探讨了一种新的装配顺序分析方法，该方法利用产品的装配域信息，根据图论的割集法对产品进行拆分，建立几何优先约束关系，然后通过人机交互的方式建立工艺优先约束关系，最终得到可行的产品装配顺序。

Constraint based planning method presents reasoning algorithms of process planning prototype from design constraint, dividing algorithms of development process activities and choosing principle of the information prerelease points. From the whole lifecycle point of view, it gives out constraint based product development process planning method and steps.

基于约束的规划方法提出了基于设计约束的过程规划原型推理算法、开发过程活动的划分算法和信息预发布点的选取准则，从整个产品生命周期角度，给出了基于约束的产品开发过程规划方法和步骤。

First, we have proved that the constraint of local constant gradient angles is equivalent to the minimization of total variation. Based on this, a stronger continuity constraint of gradient angle is presented. The interpolation formula (a 3-degree-PDE) derived from the constraint can ensure the continuity of level lines and reduce the width of edges. The contrast invariant of the regularizer of the formula is also proved.

首先证明了局部恒定的梯度角约束插值等价于总变分最小化；在此基础上，提出一个具有更强连续性的梯度角约束，由这个约束条件导出的三阶偏微分方程使插值的图像既可以保证水平线方向的连续性，又减小图像边缘的宽度；最后证明了插值方程中正则项的对比不变性。

Third, for the problem of the stress, local stability and displacement constraints, the sequential quadratic programming method is adopted in this paper.

第三，对于应力约束、局部稳定约束和位移约束的问题，本文采用序列二次规划SQP方法进行了求解。

The calculation of an example indicates that the combined optimal model is better than the single one in terms of simul.

大坝安全的组合优化监控模型实际上为一带约束的优化问题，将DNA遗传算法应用于大坝安全监控领域中，用罚函数法将有约束的优化问题转换为无约束的优化问题，建立了大坝安全监控的组合优化模型。

Because problem which has complementary constraints does not satisfyconstraints qualification, which is the assumption for nonlinear problem solvers, weuseεslackness technique to deal with this problem.

因为具有互补约束的优化问题一般不满足传统优化算法所要求的约束规范假设，所以本章采用了ε松弛的方法处理互补约束。

This paper presents a new method of sparse matrix decompose which is based on the concept of matched degree, this method can make the process much simple and can be used in the decomposition of the construct matrix with multiple-freedom variables and constraints.

本文提出了基于匹配度计算的约束分解方法，采用这种方法，可以使约束分解的过程变得很简单，并可用于多自由度和多约束度变量的结构矩阵的分解。

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。