约束

Mathematical models of CAD model optimization are built with exponential penalty to translate constraint optimization into unconstraint optimization.

分析了截面曲线特征和曲面特征的约束表达，建立了约束驱动特征模型优化的数学模型。

To solve the difficulties of digital integral that exist in global optimization of redundant manipulators, this paper discussed how to build up dynamic equation, the inner relation between constraints and unconstraint optimum control problems, then a digital method solving optimum control problems is deeply analyzed.

为了解决冗余度机器人全局法优化中数值求解的困难，本文讨论了动力学方程的建立、无约束和有约束最优控制问题之间的内在联系，重点分析了求解最优控制问题的数值方法。

In chapter 2, the paper considers about applying the regularized method with a variance uniformization constraint to image restoration, therefore we discusses the relation between the variance of the restored image and the singular value of the discrete matrix of the blur operator in detail, and theoretically proves the well-posedness of the regularized method with a variance uniformization constraint.

在第二章中，本文考虑将带一致方差约束的正则化方法应用于图像的恢复，为此详细讨论了恢复图像的方差与模糊算子的离散矩阵的奇异值之间的关系，并从理论上证明了带一致方差约束的正则化方法的适定性。

This paper will mainly research the theory and method of the fuzzy reliability about the vibration under the circumstances of unrestraint and restraint.

本文主要研究了无约束和有约束条件下振动模糊可靠性理论与方法，其主要研究成果和创新点如下： 1。

With the improvements to the initial population and disposal of objective function, we choose DE as the searching method in EAFSC to investigate it performance in classic unrestraint optimization, Minimax Optimization and nonlinear equations.

其次结合对初始种群和目标函数的处理，以DE为例分别探讨EAFSC在典型的无约束优化、Minimax优化和约束优化问题、非线性方程及方程组求根中的应用。

The special geometric restrictions like parallelism andperpendicularity implicated in vanishing elements are deeply studied. In single-view case,the theory is presented to interpret relationship between two planar lines by applying 3Dinvariants of vanishing points. In two-view case, the method on extraction vanishing pointof an arbitrary spatial line is described, and moreover, the theory is presented to interpretrelationship between two elements in 3D space, such as two lines, two planes, line andplane, and so on.

4详细论述了消失元素(消失点、消失直线、消失平面等)所体现的垂直、平行等特殊几何约束关系；对单视图，提出了一种利用消失点列的3D不变量解释平面直线关系的方法；对双视图，提出了利用自共轭三角形和对极几何约束，提取任意直线的消失点的算法，并在此基础了提出了一种利用消失元素的3D不变量解释直线间、直线与平面间、平面间等多种空间几何关系的方法。

When processing the restrained conditions, we convert the restrained conditions into punish function and add it to fitness function which profits from the conventional method. We introduce the support vector machine to the selection operator, which increases the multiplicity of selection and increases the probability of the algorithm getting the overall optimal solution. Also, we use the adaptive probabilities of crossover and mutation in mixed GAs which enhances the efficiency of the algorithm. The result of tests about the system indicates that the improved genetic algorithm has more high convergence speed and better solution quality.

在生成初始种群时，不是简单的随机生成，而是用支持向量机对历史数据进行分类，用较优的一类历史数据作为初始种群；在约束条件的处理上，本文借鉴常规方法中的罚函数法，采用将约束条件作为罚函数包含到适应度评价中去的方法；在选择算子上，本文引入了支持向量机的方法，增加了选择的多样性，增加算法搜索到全局最优解的概率；同时针对交叉概率和变异概率在算法的前后期不同的情况，本文引入了Srinvivas等提出的动态自适应的方法，使得交叉概率和变异概率能够随着算法中个体的质量动态改变，提高算法的效率。

The prescriptions contained in the Franciscan Rule were divided into those which bound under pain of mortal, and those which bound under pain of venial sin.

处方中所载济规则分为那些约束下痛苦的凡人，和那些约束下的痛苦venial罪孽。

The algorithm uses the Doppler velocities of the three receivers as weak constraints and uses the continuity equation as a strong constraint in a cost function in which the two horizontal wind components are the control variables.

该风场反演方法利用主动雷达和被动接收系统测量的径向速度作为弱约束，用质量连续方程作为强约束，来反演三维速度场。

Then the weak formulation of the control equations considering the contact constraint conditions has been developed. Combined the Lagrange multiplier and penalty function methods, the augmented Lagrangian method is used to treat the contact constraint and solved the non-linear and non-smooth problems of the mechanical response perfectly. A finite element model has been applied for the test project of the reinforced slope and to study the mechanism of the interaction of the soil and reinforced material.

本文在Lagrangian网格的控制方程中引入接触界面条件，并采用了经典的Coulomb摩擦模型作为界面切向面力的本构模型，继而发展了考虑接触约束条件的控制方程的弱形式；在求解方法上，综合了Lagrange乘子法与罚方法的优点，采用增广的Lagrangian方法处理接触界面约束，很好地解决了接触问题中的高度非线性和响应不平滑性。

Breath, muscle contraction of the buttocks; arch body, as far as possible to hold his head, right leg straight towards the ceiling (peg-leg knee in order to avoid muscle tension).

呼气，收缩臀部肌肉；拱起身体，尽量抬起头来，右腿伸直朝向天花板（膝微屈，以避免肌肉紧张）。

The cost of moving grain food products was unchanged from May, but year over year are up 8%.

粮食产品的运输费用与5月份相比没有变化，但却比去年同期高8％。