查询词典 zeroth order

PSO is a population-based optimization algorithm, which mimics the social behavior of animals in a flock. It makes use of individual and group memory to update each particle position allowing global and local search optimization. The objective function considered was the total weight of the structure subjected to stresses, displacements and forces constraints. The effects of the parameters were investigated as well and such combination of tuning parameters promote a better global search behavior avoiding premature convergence while rapidly converging to the optimal solution. Results showed the effectiveness of the proposed method by comparing with ANSYS Design Optimization Tool (zero-order method). The PSO with the tuning parameters makes it an ideal method for offshore wind turbines foundations optimization tasks.(2) A reliability analysis method for pile foundation bearing axial loads based PSOThe performance function of pile foundation's axially bearing capacity sometimes is nonlinear and complex, on the basis of geometric meaning of structural reliability index, an optimum model with PSO for structural reliability analysis under arbitrary random variables was established, The PSO algorithm is very efficient to solve global optimization problemsIts use in structural reliability field presents not only the advantage of its facility of implementation, but also the possibility to obtain the design point and the failure probability with a good accuracy. In addition, PSO is a zero order algorithm, for no derivative is necessary for its implementation.

本文的研究针对桩式海上风机基础结构的特点，在国内外有关研究成果的基础上对海上风机基础结构优化设计理论和可靠度方法一些相关问题进行了较为深入的研究，具体做了以下几个方面的工作：(1)基于粒子群优化的桩式海上风机基础确定性优化设计方法桩式海上风机基础的优化设计是一个复杂的、非线性约束的优化问题，针对传统的基于梯度信息的优化方法在处理非线性问题中易陷入局部最优解的问题，本文将一种耦合惩罚函数的PSO算法引入到海上风机基础结构概念设计中，PSO算法是从群体动物聚集觅食这一活动中受到启发而发展的，该算法利用个体和群体的信息共享不断改进自身的位置从而进行局部和全局最优搜索，本文中以桩和三脚架连接段直径及壁厚为设计变量，以基础总重量作为优化的目标函数，在给定的约束条件下建立了三脚架基础优化数学模型，另外本文还研究了PSO参数变化对结果的影响，协调的参数组合可以避免陷入早熟收敛而能够快速的获得全局的最优解，通过与ANSYS优化模块的计算结果比较验证了该方法的有效性，本方法为海上风机基础的确定性设计提供了一条有效的途径。

The optimal convergence rates in H-1 and L-2 norms are proved, and the convergence order in L-2 norm is one order higher than that in H-1 norm.

并分别给出了解的H-1模和L-2模的最优收敛阶估计， L-2模收敛阶比H-1模收敛阶高一阶。

For example,we have the following simple result:Lei the Taylor series F =has a radius of convergence or 1, where 0 = If F is of order p (For the two cases of the radius of convergence,the meanings of "order"are different.).

如果这级数有级ρ(在收敛半径是∞或1时，"级"的意义不同)，那么在第一种情形。

In order to get the numerical solution, the paper devises a three hierarchic implicit scheme which eliminates the strict restriction of explicit scheme, thus, it can be used in more areas. By using the energy estimation method, the convergence and stability of the difference scheme are proved and the scheme is second order convergence for time and space.

对求解方程构造了一个三层隐式差分格式，消除了显格式的稳定性对计算步长的严格限制，使之适用范围更广，并用能量估计的方法严格证明了差分格式的收敛性与稳定性，该格式对于时间和空间均具有二阶收敛性。

Two conservation equations are derived from a Wigner-Fokker-Planck model, they contain a third-order quantum correction term and second-order viscous term...

然后 在弱的亚音速条件下利用截断技术建立解的先验估计，在此基础上根据Leray-Schauder 不动点定理得到四阶方程弱解的存在性。

In mother's day before day of just a little, the elder sister helps mom order a cake, come to cake inn, the sister says with counterjumper:"The young lady asks you to help me order a 14 inches cake, I will be taken the day after tomorrow."

在母亲节的前一二天，姐姐帮妈妈订购一个蛋糕，来到蛋糕店，姐姐就和店员说："小姐请你帮我订一个14寸的蛋糕，我后天来拿。"

Therefore, taking my stand on the common interest of China and the Allies, I shall firmly and completely oppose your order so long as you do not openly admit your error and countermand this wrong order.

因此，我站在中国和同盟国的共同利益的立场上，坚决地彻底地反对你的命令，直至你公开承认错误，并公开收回这个错误命令之时为止。

The socket of eye that returns accept to have physiology function as far as possible above all is lain between adipose, if adipose more, can excise appropriately, crimple the socket of eye is diaphragmatic, in order to eliminate " bursa bag appearance " the exterior, handle eye annulus v/LIT all over the ground flesh, increase flesh pulling force, in order to eliminate " spring month disease ".

此种术式，是通过结膜面的小切口，将形成膨陲外的眶隔脂肪部分切除，以消除眼袋。

In order to detect moving infrared dim and small target, a novel high-order cumulant projection algorithm was proposed.

为检测弱小红外运动目标，提出了一种基于高阶累积量投影的检测算法。

C the forward extension of cutter bar is short.In order to improve the order of straw lying in the windrow, the characteristics motion ofstraw in the course of traversing was analyzed. There are three modes for straw being thrownby star wheel.

通过试验的方法，对割台堵塞原因进行了分析，确定了输送链的前伸量过大、输送器的倾斜角度过小和底座高度过小这三个因素是割台堵塞的主要原因。

We stopped by the old fashion ice cream parlor Manhattan Beach Creamery for some refreshment. The "No Shoes, No Shirt, No Problem" sign on the wall epitomizes the beach lifestyle.

我们去商店区的一家老式冰淇淋店坐坐，墙上挂著「没鞋，没上衣，没问题」的牌子完全捕捉了海滩生活的随性及风格。

"If therefore", argues Bellarmine we can offer our prayers and our satisfactions in behalf of those detained in purgatory, because we are members of the great body of Christ, why may not the Vicar of Christ apply to the same souls the superabundant satisfaction of Christ and his saints--of which he is the dispenser?

" "因此，如果"，认为贝拉明（德indulgentiis ，十四）"我们可以提供我们的祈祷和我们满意的代表那些被拘留在炼狱，因为我们是成员的伟大基督的奥体，为什麼可能不是牧师基督适用於同样的灵魂满意的过剩是耶稣和他的圣人-他是在配药？