约束

To solve a heavily constrained optimization problem includes linear constraint conditions and non-linear constraint conditions, in this paper, a new comprehensive solution mechanism, based on specialized genetic operators, exact penalty function and initialization with multiple linear feasible solutions, is proposed.

针对一类同时具有线性约束条件和非线性约束条件的重约束优化问题，本文成功地综合采用了专门化遗传算子、精确惩罚函数及多个线性可行解初始化的求解方法，取得了很好的效果。

In order to extend simple logic constraint relations of single place versus transitions to complex cooperated constraint relations of multiple places versus transitions, the cooperation inhibit arc is presented. And it is combined to differential Petri net for modeling hybrid system with state feedback.

为使Petri网中单个库所对变迁的简单逻辑约束关系扩展到多个库所对变迁复杂的协同约束关系，提出了协同约束弧的概念，并将它与微分Petri网相结合，用以对具有状态反馈控制的混杂系统建模。

We got that,the charged particles be binded in this field,and canonly move along the magnetic line of force as spiral motion and the positive charges andnegative charges moved in opposite direction which be fromed the big molecular groups thatbe hardly absorption,by means of incrustation preventing.

讨论了轴对称非均匀磁场对带电粒子的作用，分析了"磁约束"对防垢、除垢的微观机理，指出满足磁约束理论的轴对称非均匀磁场的防垢，除垢效果好的原因，正是由于在这种磁场中，带电粒子的运动被约束在一定磁面上的某一磁感应线附近做以该磁感应线为中心的螺旋运动，且正、负离子的回旋方向相反，从而形成内部相互作用较弱的大分子簇团不易吸附在管壁上，达到防垢目的；磁化水的渗透压较大，可起到除垢效果。

The shock pressure of booster HMX/F2641 with smaller charge diameter was determined under three sorts of restraint conditions through manganin manometric method, and the test results were discussed according to shock kinetics.

采用锰铜测压实验测定了较小装药直径下，强约束、弱约束及无约束条件下传爆药HMX/F2641的输出压力，并运用冲击动力学进行了探讨，混合炸药实验密度为90%的理论密度。

Basing on the neighborhood system of MARKOV random field and the potential function,we build a soft constrained mode to overcome the shortage of the force constraints,and we extend well constrained data to well-cross.

基于马尔柯夫随机域的邻域系统及势函数构建一种软性约束模式，将井眼约束信息外推到井间，避免过往强制约束的不足。

Presents a new formulation of Lagrange s equations by using an augmented Lagrangian function with the first order non linear nonholonomic constraint equations, and offers a unified variational approach to both holonomic and nonholonomic constraints.

采用带有二阶非线性非完整约束方程的扩张性拉氏函数，建立起了拉格朗日方程的又一新公式，该新公式较为规则，它提供了一种完整约束系统和非完整约束系统两者统一的变分方法。

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。

With the primary goal function, the optimization problem is changed to a nonrestraint one.

在无约束优化过程中，通过逐步增大罚因子，使无约束优化问题的解逼近原约束优化问题的解，用随机搜索优化方法得到了拱坝的优化体型。

Based on the method of multi-objective fuzzy optimization and the overhead traveling crane design, a mathematical model of fuzzy optimization for main box beam section is established. A fuzzy goal anthology is constructed. The fuzziness of multi-objective function and constraints is defined. The transformation of the fuzzy constraints set to normal constraints set in real number domain is realized by applying optimal level cut set method. The optimal solution and optimal constraint value of sub-objective function in the feasible field are found using the genetic algorithms.

应用多目标模糊优化方法，以工程设计中桥式起重机箱形主梁设计为实例，建立了桥式起重机箱形主梁多目标模糊优化设计的数学模型，构造了模糊目标集，确定了多目标函数的模糊性和约束的模糊性，并应用最优水平截集法实现了模糊约束到实数论域上的集合转换，从而用遗传算法寻求到子目标函数在可行域空间的最优解和约束最优值。

Furthermore, the paper presents a line oriented locating algorithm for fast locating triangles, which has the advantage of unique path and steady operation compared with other locating algorithms.2 Applying the theory of Constraint Delaunay Triangulation, the paper propounds the dynamical algorithm for constructing CDT, which insist that the constraint segments be inserted into the triangulation as soon as possible on the condition that they have been known already.

同时提出了快速定位三角形的直线方向定位算法，该算法与一般方向定位算法相比，具有搜索路径唯一，运行稳健的特点。 2应用约束Delaunay三角网理论，提出了构建CDT的动态算法，提出在约束条件已知的情况下，应尽早嵌入约束边。与传统构建CDT的"两步法"相比，具有速度快，点集可以动态扩充的优点。

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。