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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。

Later, we estimate our variational functional to get a nontrivial solution of the new equation and so the second solution for is obtained.

然后我们利用函数平移将原来的非齐次边界问题转化为奇次边界问题,验证了其对应的变分泛函满足不带条件的山路引理的两个条件,并给出了泛函临界点存在的一个充分条件,最后对具体的变分泛函进行估计,得到了新方程非平凡解的存在性结果,从而得到了原方程第二个正解的存在性结果。

In addition, the ICP algorithm provides the benefit of avoiding the need to interpolate the raw laser points, and evaluating the height as well as the planimetry offsets from overlapping laser strips. To evaluate the performance of the algorithm across different data quality level, two data sets are tested. The results reveal that the ICP algorithm can be used to both quantify the discrepancies from overlapping strips, and identify a solution regarding the correspondence problem.

使用两组经地面参考资料检验精度等级不同之扫描资料测试,结果显示,ICP不仅能作为重叠航带间之资料精度评估工具,同时也可以解决搜寻重叠航带间对应点之问题,而这个问题在评估重叠空载雷射航带间之精度及后续系统误差改正时,为非常重要的一项课题。

It is against purism, and stresses the artistic expression of significance and the artistic attention paid to contemporary social and living problems of human beings.

第二步则对应于当代意识,当代意识反纯粹性,强调艺术对意义的表达,强调艺术对当代人类社会问题和生存问题的关注。

In real flight, multiple sensors of aircraft engine control system may fault at a time. In order to solve this problem, a revised multiple-failure-hypothesis based testing is investigated. This approach uses multiple Kalman filters, and each of Kalman filter is designed based on a specific hypothesis for detecting specific sensors fault, and then uses WSSR (Weighted Sum of Squared Residual) to deal with Kalman filter residuals, and residual signals are compared with threshold in order to make fault detection decisions. The simulation results show that the proposed method can be used to detect multiple sensors soft failures fast and accurately.

一般认为两个以上传感器同时发生故障的概率较小,但实际上不能排除其发生的可能性;提出了一种改进的多重故障假设方法来解决航空发动机控制系统多传感器同时发生软故障的问题,这一方法采用一组卡尔曼滤波器,每个滤波器对应一个被检测传感器的故障模态;采用残差加权二乘方处理滤波残差并与门限值作比较来判断是否发生故障;仿真结果表明,所提出的方法能有效解决多传感器软故障的检测与隔离问题。

After studying this phenomenon, the author finds that, the covariance matrix of the complex expressions of horizontal gradients of the disturbing gravity field elements has a structure of blockwise repetitive Toeplitz matrix, though the covariance within the disturbing gravity field elements is still anisotropic. Therefore, the collocation problem of the complex combination of horizontal components is similar to that of gravity anomaly, which makes the degradation be able to be completed by FFT transformation matrix.

作者研究发现,利用水平梯度的复组合,即复数表示后,扰动重力场元复组合之间的协方差函数尽管还是各向异性,但它们对应的协方差矩阵却具有分块 Toeplitz 循环阵的结构,因而水平分量复组合的配置问题与重力异常的配置问题相似,可以利用傅立叶变换矩阵进行降阶处理。

The demonstrate in can asking to develop a process of course (safeguard a map by development staff for example, a of the ID interfacial element and tiring-room or correspondence of a group of operations rises), what I need to solve now is how to let the system discovers automatically and maintain these relationships Read above oneself problem, discovery had a direct result to be told to the system,"Authority " the ID that is an interface element and the URL that a group of tiring-room serve (take no account of data to visit attributive temporarily), attributive ={id, comId, urls, desc} such, how can problem translate into realize the definition of attributive, let him user input ComId, Urls?

当然可以要求开发过程中指明(例如由开发人员维护一个映射,把界面元素的ID和后台的一个或者一组操作对应起来),我现在需要解决的是如何让系统自动发现和维护这些关系读了上面自己的问题,发现有了个直观的答案对于系统来讲,&权&就是一个界面元素的ID和一组后台服务的URL(暂时不考虑数据访问权限),权限={id,comId,urls,desc}这样,问题转化为如何能够实现权限的定义,让用户自己输入comId、urls吗?

In two examples of bi-objective optimization for cantilever beam and rocket engine, linear weighted method and gradual easy constraint method and neighborhood cultivation genetic algorithm method were used to obtain Pareto Front.

并且在悬臂梁的优化问题中,对不同的定值点用目标点法求解优化问题的非劣解,结果说明不同的定值点对应不同的优化结果。

We apply "points and normals" surface modeling technology to construct Coons surface of Correcting Lens.

校正透镜设计的本质是满足点及对应法矢这两个条件的光学曲面构造问题,不是单纯的离散点构造曲面问题。

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你知道吗,我需要你回来

Yang yinshu、Wang xiangsheng、Li decang,The first discovery of haemaphysalis conicinna.

1〕 杨银书,王祥生,李德昌。安徽省首次发现嗜群血蜱。

Chapter Three: Type classification of DE structure in Sino-Tibetan languages.

第三章汉藏语&的&字结构的类型划分。