查询词典 complex function

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 Green's function in Cartesian geometry can be used to replace the complex Green's function in cylindrical geometry when solving the neutron diffusion equation in cylindrical geometry.

用格林函数节块法求解圆柱几何中子扩散方程时，可用平板几何格林函数代替复杂的圆柱几何格林函数。

Draw lessons from increment type observation implement with PI condition observation implement research achievement, combine heat to dominate a field complex control system designs bunchy form normally the actual condition of regulating system, offer observation of function of PI of increment style broad sense implement and the concept that its condition feedbacks, the tectonic regulating system that cluster form and observation implement feedback of shirt-sleeve broad sense condition controls a system, learn an analysis through number, give out the sufficient condition of IFO-PIO/BS reachs his corresponding theorem and deductive proof, announce give this to controlled systematic equivalence to be had at IFO-PIO/BS change the function that gain condition feedbacks.

借鉴增量式观测器和PI状态观测器的探究成果，并结合热控领域复杂控制系统通常设计成串级调节系统的实际情况，提出增量式广义PI函数观测器及其状态反馈的概念，构造串级调节系统和观测器相融合的广义状态反馈控制系统，通过数学分析，给出IFO-PIO/BS的充分条件及其相应定理和推论的证实，揭示出该控制系统等价于IFO-PIO/BS具有了变增益状态反馈的功能。

Introduces the Julia set's definiens of Newton iteration function. With the aid of computer and the theory method ,this paper discusses the Newton iteration function's Julia set and Julia set's fractal structure of polynomial f=z 4-1 on complex plane , and also shows the Julia set's graph.

介绍了复平面上Newton迭代函数的Julia集的定义，借助计算机迭代制图及理论方法讨论了复平面上4次复多项式f＝z4－1的Newton迭代函数的Julia集及Julia集的分形结构，给出了其Julia集的分形图形。

Proceed to the next step again go further inquire into definition of Grotzach domain function, and apply qualities of Grotzsch domain function to in K-quasiconformal mappings of on extended complex plane, the angles delitational estimation theorem is obtained.

根据Grotzsch的区域函数的定义，对其概念认真分析和探讨，进而再对Grotzsch的区域函数作了进一步的研究，并把Grotzsch的区域函数的性质应用于扩充复平面上的K-拟共形映射中，获得了一个角偏差估计的定理。

Based on the Collins formula, the analytical propagation equations for a Gaussian beam through a multiple spatial filter system are derived by using the methods of the matrix decomposition and expanding the aperture function into a finite sum of complex Gaussian function .

以Collins衍射积分公式为基础，利用A0CD矩阵分解与物理实现的技巧，以及将硬边光阑窗口函数展开为有限个复高斯函数之和的方法，推导出了高斯光束通过多级空间滤波器系统的传输方程，并用数值计算加以说明。

Matlab ellipse paintings did not provide the function, which was oval in the center long axis of oval painting after the short axis, in which the use of complex variable function.

matlab没有提供画椭圆的函数，该函数在获得椭圆中心长轴短轴后进行画椭圆，其中使用复变函数。

For further criterion on the nature of the high-velocity surface-acoustic mode isPSAW or the high-velocity surface-head wave(or longitudinal-wave head wave)wedevelop,the established generalized Green's function theory for the surfaceexcitation The precise expression and its numerical results of Green's function forPSAW is presented,as the contribution of complex pole.

为了判定高速表面波动模式是伪表面波还是头波，对压电晶体半空间的普遍Green函数理论作了一些补充和深入的分析。

The Taylor formula holds the very important status in the differential calculus, especially in solves in some concrete problems to have the extremely important application, for instance the proof inequality, the judgment improper integral collects the divergence, asks the function the limit, asks the function the higher order derivative, determines certain complex progressions to collect the divergence, solves certain differential equation, as well as approximate calculation in and so on application, therefore this article will do the thorough research to these seven aspects.

摘 要：泰勒公式在微分学中占有非常重要地地位，尤其在处理1些具体的茄题中有10分重要的应用，比如证明不等式，判断广义积分的敛散性，求函数的极限，求函数的高阶导数，判定某些复杂级数的敛散性，求解某些微分方程，以及近似计算等中的应用，因此本文将对这七个方面做深入的研究。关键词：泰勒公式；不等式；广义积分；极限；高阶导数；复杂级数；微分方程

In this dissertation,we consider the following nonlinear singular partial differentialequation in complex domain 〓where u=uis a unknow function,Fis a holomorphic function withrespect to the variables〓.

本文主要考虑的问题是复空间中的非线性全特征型奇性偏微分方程解的性质，即考虑如下偏微分方程〓的解的性质，其中〓为未知函数，F是一个关于变量〓〓的已知全纯函数。

The split between the two groups can hardly be papered over.

这两个团体间的分歧难以掩饰。

This approach not only encourages a greater number of responses, but minimizes the likelihood of stale groupthink.

这种做法不仅鼓励了更多的反应，而且减少跟风的可能性。