约束

The wavelet analytic method can find out global and local singularity and singular points of function by local maximum of wavelet transform of Lagrangian function which is made up of two constraint functions without regard for contents of optimization and constraint situation.

不管优化内容及约束情况如何，由对约束函数两两构成的拉格朗日函数的小波变换求局部极大值，将奇异点求解出来。本文对n维空间的小波变换寻优方法给予了理论上的研究与证明，并给出了具体的求解方法。

Therefore, from the theoretical point of view, a solution of the constrained problem and the corresponding values of the Lagrange multipliers can be found not only by the well known method of multipliers but also by performing a single unconstrained minimization of the Hestenes-Powell augmented Lagrangian function on the product space of problem variables and multipliers.

因此，从理论的观点来看，原约束问题的解和对应的拉格朗日乘子值不仅可以用众所周知的乘子法求得，而且可以通过对Hestenes-Powell增广拉格朗日函数在原问题变量和乘子变量的积空间上执行一个单一的无约束极小化来获得。

Under suitable hypotheses,the relationship was established between the local unconstrained minimizers of the augmented Lagrangian function on the space of problem variables and the local minimizers of the original constrained problem.

在适当的假设下，给出了原约束问题的局部极小点与增广Lagrange函数，在原问题变量空间上的无约束局部极小点之间的对应关系。

The technique of perturbations constraint when applied to degree reduction of Bézier curves gives fairly well results This paper discusses why these kind of technique have limitation when applied to B-spline curves, and the least squares approximation approach is presented for reducing the degree of B-spline curves Examples comparing the new method with existing ones are illustrate

将扰动约束技术应用于B啨zier曲线的降阶给出了理想的结果讨论了将这类方法应用于B样条曲线降阶时结果不理想的原因，提出了采用最佳平方逼近技术对B样条曲线做降阶运算的方法；并用实例对该方法和基于扰动约束的降阶方法进行了比

Thisproblem is changed into the matrix approximation problem with matrix inequalities.Further, it is changed into the generalized eigenvalue problem with linear matrix in-equalities. In addition linear state feedback controller is designed.

先将最优控制问题转化为具有矩阵不等式约束的矩阵逼近问题，又转化为具有线性矩阵不等式约束的矩阵广义特征值最小化问题，从而设计了相应系统的线性状态反馈控制器。

The constraint representation in dense linear order constraint databases is studied in the paper.

文中研究了约束数据库中线性序约束关系的规范表达。

Based on the conception of the equivalent stress,the expressions of the equivalent stress was educed. In this optimal design, the macro file for calculating the equivalent stress of arch dam is complied by using the parameter design language of the software, and the optimal design for shape of arch dam using equivalent stress as stress restraint condition is carried out.

本文基于等效应力概念，推导了拱坝有限元等效应力计算公式，将有限元法求得的坝体与基岩交接面上的应力合成截面内力，然后求出对应的线性化应力，并以此应力作为应力约束条件，实现了以等效应力作为应力约束条件进行拱坝体形优化。

The mathematic model of the single degree of freedom gyrocompass under electromagnetic bearings is given and the influences on the north finding accuracy and orientation time caused by the declination of the gimbal axis under elastic magnetic bearings are discussed.

提出了一种结构简单的新型磁悬浮寻北仪，建立了电磁轴承约束的单自由度陀螺罗盘的数学模型，讨论了陀螺框架轴在弹性约束下偏离铅垂方向对寻北精度及定向时间的影响。

With the method of statistics reasoning and Monte Carlo simulation, based on the confined concrete model proposed by Mander, the statistics properties of the resistance of RC structures under different seismic fortification levels are studied.

基于Mander提出的约束混凝土模型，研究了钢筋混凝土构件在有约束情况下抗力的统计特征，以及不同地震设防水平下结构抗力的统计特征。

By corresponding program manipulation,optimum algo-rithm of unconstrained extrema can be made to apply to constrainedextrema.

通过相应的程序处理，使无约束极值问题的优化算法可用于约束极值问题。

On the other hand, the more important thing is because the urban housing is a kind of heterogeneity products.

另一方面，更重要的是由于城市住房是一种异质性产品。

Climate histogram is the fall that collects place measure calm value, cent serves as cross axle for a few equal interval, the area that the frequency that the value appears according to place is accumulated and becomes will be determined inside each interval, discharge the graph that rise with post, also be called histogram.

气候直方图是将所收集的降水量测定值，分为几个相等的区间作为横轴，并将各区间内所测定值依所出现的次数累积而成的面积，用柱子排起来的图形，也叫做柱状图。