约束优化

The adhesion region between two adjacent teeth on the 3D dental model is first detected by exploiting the minimum principal curvature information. Then, the adhesion region is cut off and the tooth profile opening caused by the removal of the adhesion region is filled with triangular patches adopting a local optimization scheme, it is then refined to form an intermediate restoration surface patch. The final restoration result is obtained by minimizing the surface energy to reflect the bio-characteristics of the single tooth.

根据三维牙颌模型的形态特征，采用基于曲面最小主曲率的方法对粘连区域进行准确的检测提取；对删除齿间粘连区域后生成的齿间开口利用局部最优化权值规则进行剖分并细分优化，生成"中间"恢复曲面；根据牙齿的生理医学特征，以齿间开口的边界信息为约束条件，采用基于最小化曲面能量函数的方法对"中间"恢复曲面进行变形调整，实现单颗牙齿缺失形状的准确恢复。

In this paper,the probability of mismatch is given on basis of the research situations of computer aided tolerancing.

在分析计算机辅助公差设计现状的基础上，引入不匹配率，研究尺寸公差与形位公差在产品性能要求上的互相约束关系，从而提出包括尺寸公差和形位公差的综合公差优化设计模型。

In order to efficiently handle multi-constraints, a vector function inner product is defined in the zero level set and a gradient projection method is constructed, and the necessary condition satisfied by the optimal solution is proved.

在这些研究的基础上，提出了适用于一般目标函数、多材料、多约束和多载荷工况的结构拓扑优化的水平集算法4.1，并给出了刚性结构、柔性机构和复合材料微结构设计算法5.1、6.1和7.1，以及大量的数值算例。

On the basis of above research works, a finite element model for column of the TH6350 high speed numerical control boring was built; the stiffness of the slide guide interface between the bed and column bottom and the constrain stiffness from lead screw were estimated by using experimental formula, to guarantee the rationality of the boundary condition of the FEM model; the week link of the column has been found by application of ANSYS software to FEM model analysis of the column, The result shows that the calculation data and test data are very consistent, therefore proved the properness of the FEM model.

在上述工作基础上，本文对TH6350高速数控镗床的立柱进行了有限元建模；并利用经验公式估算了立柱与床身之间的导轨结合面上的刚度和丝杠副约束刚度，保证了有限元模型的边界条件的合理性；应用ANSYS软件进行有限元模态分析找到了立柱结构的薄弱环节，通过分析对比表明有限元分析计算与现场测试的结果相一致，证明了有限元模型的正确性，为立柱结构的进一步改进设计和优化提供了重要参考依据。

In addition, a proportional fair resource allocation algorithm is proposed for non-real-time users, which aims to achieve the highest system throughput under the constraints of overall power and fairness among users.

并且提出了一种针对非实时业务的比例公平资源优化分配算法，在系统发射功率以及用户之间公平性的约束下，能够取得较好的系统吞吐量。

The control problem is transformed to constrained optimization problem and is solved using sequential quadratic programming algorithm.

考虑了调节变量和被控变量的约束情况，推导了采用序贯二次规划算法的滚动优化方法。

A standard expected value model for multi-objective multi-stage transmission planning is presented to realize the transmission optimal planning with the control of line overloading risks. In this model, a constraint of overloading risks is built with expected value and standard deviation of random line active power and two objectives are given as expected value of the average power loss and discount value of the investment cost. By modeling uncertain informations with probability theory, the probabilistic DC power flow is adopted for the correlated calculations among random variables in the planning model.4 A novel multi-objective transmission planning approach that considers transmission investment profit is proposed. Requests for transmission investment profit and social welfare are involved in the proposed planning approach.

以方案总投资费用贴现值和平均网损期望值为目标函数，建立多目标多阶段输电网规划的期望值模型，以线路有功潮流过负荷随机变量的期望值和标准差构建过负荷风险约束，考虑了风险发生概率和严重程度两方面的特征，通过对不确定性信息的概率建模，利用概率直流潮流进行各随机变量的相关计算，实现了控制过负荷风险条件下的输电网优化规划。4提出考虑输电投资收益的多目标输电网规划方法，综合考虑市场参与者对输电投资收益和社会总福利的要求加热管及其对输电网规划的影响。

This article summarizes the advantages of direct optimized law in working out inequality constraints, and proposes the way to carry on the simulation with the regular polyhedron law to the standard unitary flood noose curve.

简述了直接优化法求解不等式约束问题的优越性，提出了用正多面体法对标准单式洪水绳套曲线进行模拟的思路及程序求解方法，分析了正多面体法模拟标准单式洪水绳套曲线的可行性，为进一步利用水位推求流量创造了条件。

A method of decomposition and reduction of the design variables and restrictive conditions in the optimal design is presented.

提出了优化设计中对设计变量和约束条件进行缩减和分解的方法。

In comprehensive consideration of flight vehicle system constraints,trajectory design,aerodynamic characteristics and solid rocket booster design,a series of system/aerodynamics/trajectory/solid propellant integration design analysis and optimization models for solid rocket booster of flight vehicle were derived.

综合考虑飞行器总体设计约束、轨道设计、气动特性与固体火箭助推器设计间相互影响的情况下，建立了飞行器固体火箭助推器总体/气动/轨道/动力多学科的系统分析模型和设计优化模型。

What would he tell Judith and the children?

他将怎样告诉朱迪丝和孩子们呢？

I this is at that time, the opinion with peacockish true girl is full of in a heart.

这就是当时的我，一个心中布满虚荣的女孩子真实的想法。