查询词典 probability density function

The first is on the study of spectra technique in boolean function and in its probability function.

得到布尔差分等布尔运算在此映射下的实函数运算，并用有限离散变换实现了从原函数到象函数、到象函数偏差分，以及到布尔差分的象函数的变换，并研究了这一系列变换的性质。

The probability distribution function G of particle number N^＋ is deduced on the basis of the Canonical partition function Z of an ideal Fermi gas（ The orbital motion of the fermi- ons is not considered） in weak magnetic field.

根据弱磁场中理想费米气体的正则配分函数Z，导出粒子数N＋的几率分布函数G。

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 universal generating function can express the relation between system performance level and state probability, and use the u-functions of elements to obtain the u-function of system.

通用生成函数能够表达系统性能水平和状态概率之间的关系，并且可以方便地由元件的u函数获得系统的u函数。

On the basis of this conclusion, we simplify the likelihood difference function, and the analytic form of the probability distribution function is obtained.

在此基础上对两个相邻区域的似然差函数进行简化，获得它的概率密度函数的解析形式。

The aim of this paper is to answer the query on the foundation of quantum mechanics advanced by Tao Zongying in articles,Acta Mathematica Scientia,1982,2(2):183～192 and Acta Photonica Sinica,1997,26(9):769～770.It is shown,based on the globalism concept in quantum mechanics,that Landau and Lifshitz′s momentum probability distribution function of a particle in a one dimensional infinitely deep square potential well is correct,and that Pauli and other′s distribution function is incorrect.The problem of mome...

本文回答了文献1～2对量子力学提出的疑问基于量子力学的整体性概念指出，Landau和Lifshitz给出的一维无限深方势阱中粒子的动能概率分布函数是正确的，Pauli等人给出的概率分布函数是不正确的从量子测量理论的角度讨论了一维谐振子的动量概率分布问题，并且指出势能大于本征能量的概率不为零并不表示存在负动能的概率分布区域

Probability space and its properties, random variables and distributions, expected value, moment generating function, characteristic function, limiting theory.

课程内容：机率空间及其性质，随机变数与分布，期望值，动差生成函数及特徵函数，极限定理等。

Logistic models illuminate that linear function of the observation value of present expositive variables is a suitable function of the imitating probability of events.

时序分析揭示了变量随时间变化的统计规律，从而可以对其做出合理的预测。

The evidence theory is mainly stated through the probability distribution function, and the function of trust and likelihood. In a sense, the rough set theory is inherited and has developed the evidence theory.

证据理论主要是通过概率分配函数、信任函数及似然函数来表述，从某种意义上说粗集理论继承和发展了证据理论。

A power function is introduced to deduce the occurrence probability function of resistivity anomaly.

根据概率论的基本理论，引入幂函数并推导了电阻率异常发生概率函数。

Pachomius manual labour was organized as an essential part of the monastic life; and since it is a principle of the monks as distinguished from the mendicants, that the body shall be self-supporting, external work of one sort or another has been an inevitable part of the life ever since.

根据圣pachomius体力劳动组织作为一个重要组成部分寺院生活；以来，这是一个原则的和尚，作为有别于乞丐，该机构应自支撑，对外工作的这种或那种已一个必然的一部分，生活至今。

In order to study the effects of parametrical rolling on the ship movement and tilts, in allusion to ship's navigating in regular following waves, the equation of ship rolling motion is transformed into normal Mathieu equation by proper variable replacement when strong parametrical excitation in restoring moment varied according to sine or cosine wave.

为研究参数横摇对船舶运动和倾覆的影响，通过对船在规则波上随浪航行时，恢复力矩中出现的1个以正余弦规律变化的强参数激励项进行适当的变量置换，将船舶的横摇运动方程转换成标准形式的Mathieu方程。