查询词典 pontryagin maximum principle

From this test results, it is obtained that the maximum lateral displacement occurs at a depth of about 0.75L; land upheaval build up rapidly and reach the maximum when the pile tip arrive at depth of about 6 m; and the increment. of excess pore water pressure reaches the maximum when the pile tip arrive at the piezometer level; while the maximum excess pore pressure presents a hysteresis quality with radial distance.

由测试结果可知，最大的侧向位移发生在距地表0.75L附近，地面隆起从桩贯入开始迅速发展，并在桩压入到6m左右时达到最大值，测点处超静孔压增量的最大值发生在桩端到达该点所在水平面时，而超孔压的最大值沿径向有滞后性。

The advantageous aspects are: maximum aerodynamic penetration due to the driver's prone position; maximum exploitation of muscular output due to the antigravitational rotation of thighs; better venous and lymphatic circulation thanks to lower abdominal pressure; better cardio-respiratory function, due to easier venous circulation; maximum protection of the spine by supporting the rachis; minimum perineum shock thanks to the saddle supporting the gluteus; maximum stability of the vehicle thanks to ground-hub pedal block-system; reduced weight of the rotating parts thanks to the compactness of the mechanism of transmission.

这种自行车的优越之处在于：由于骑车者的俯伏位置而得到的最佳空气动力学性能；由于大腿的反重力旋转而获得的对肌肉的最佳利用；由于较低的腹部压力而获得的更佳的静脉和淋巴循环效果；由于更加便利的静脉循环而带来的更佳的心血管循环系统；由于对脊椎的支撑而带来的对脊柱的最佳保护效果；由于座鞍对臀部的支撑而获得的对会阴的最小冲击；由于地面-轮毂踏板系统（ground-hub pedal-block-system）而获得的车体的最大的稳定性；由于传动系统的紧凑性而减小了车身重量。

Animal community structure and diversity showed the marked seasonal changes., The maximum of Arthropods individual number, species number and species diversity were in late July - early August. The groups number of soil animals was the maximum in summer, and the individual number was the maximum in autumn. The species number of birds; was the maximum in spring, the main species of bird community were migratory birds in spring and summer, and the main species of bird community were resident birds in autumn and winter.

节肢动物群落在7月下旬-8月初具有最高的物种数、个体数和多样性指数；土壤动物群落在夏季具有最高的类群数，秋季具有最高的个体数量和多样性指数；鸟类群落在春季具有最高的鸟种组成，春夏季节鸟类群落的主体是候鸟，秋冬季节鸟类群落的主体是留鸟。

That means that we take maximum settlement value as an objective value, that is, to control surface settlement is to control pipeline deformation. Its research paths are to make decision of computational method of maximum surface settlement and settlement pattern firstly; then to establish the relationship between maximum surface settlement and ground pipeline deformation and strain, to get maximum surface settlement in term of th

研究思路是：首先要搞清楚地表沉降的规律以及地表最大沉降值的计算方法：然后研究地表最大沉降值W.x与地下管线的变形及应变的关系，从而可以根据管线与隧道的相对位置、地层条件、管线的允许变形情况求出w皿厂这样通过控制地表最大沉降值w删x就可以间接控制隧道工程对地下管线的影响。

This article studies the Microsoft Game-Freecell. It applies the Pigeonhole Principle, Ramsey Principle, Bipartite Graphs Principle to approve the maximum available space to complete the game successfully under random sorting. It introduces the specific algorithms that can archive the goal successfully under the game rules. It also presents the calculation of permutation under this algorithm by adopting the Mobius Inversion and Inclusion-Exclusion principle.

本文从Microsoft Windows 中的空档接龙游戏出发，依据组合数学中的鸽巢原理、Ramsey定理、二分图理论等，部分证明了随机生成排列的情况下，完成空档接龙游戏目标的可用空间极值；提出了一种遵守游戏规则、又可以保证完成游戏目标的生成排列算法，并利用莫比乌斯反演、容斥原理计算该生成排列算法的生成排列数。

Using the pontryagin'smaximum principle with constant return to scale technology, we find theformula of tax rate on the steay state.

使用规模报酬不变的生产函数并利用庞德里亚金极大值原理，我们得到了稳态税率值的数学表达式。

By using Pontryagin minimal principle to minimize the action, a partial differential equation for the Lagrangian is obtained and solved. For this action, it can be verified directly that the inverse square law is the corresponding optimal controller. Finally, the generalization of this mechanization is presented for more complicated dynamical systems.

此一方程的解虽有无限多组，然其中一组的解为该系统的行动能量是总能量，所显示的物理意义为大自然若采取平方反比定律为最佳控制器，其目的在维持物体沿特定轨道运动的总能量为固定。

The optimal policy is also investigated by using Pontryagin's maximal principle.

最后运用Pontryagin最大值原理，给出系统的最优捕获策略。

Then consider the existence of a bionomic equilibrium. The optimal harvesting policy is studied by using Pontryagin's maximal principle.

讨论了这个系统的动力学行为和生态经济平衡点的存在性，最后得到了最优捕获策略。

The local and global stabilities are examined. The possibility of existence of a bionomic equilibrium is considered. The optimal harvesting policy is studied by using Pontryagin's maximal principle.

证明了系统的局部稳定性、全局稳定性和生态经济平衡点的存在性，最后得到最优的捕获策略。

Now she was hungry and angry.She began to smoulder.

现在她又饿又气，她开始流露难以抑制的怒火。

You have placed our iniquities before You, Our secret sins in the light of Your presence.

诗90：8 你将我们的罪孽摆在你面前、将我们的隐恶摆在你面光之中。