离散分布

Of many kinds of meshless methods, element-free Galerkin method draw more attentions for its stability, high accuracy, insensitivity to distribution of discrete points.

在众多无网格方法中，无网格Galerkin法以其方法稳定、精度高、对离散点的不规则分布不敏感和最适合结构分析等优点受到了较多的关注，本文对这种方法作了详细的介绍。

Keywords Moving bed;Particle flow;Discrete element method;Statistical analysis

移动床；颗粒流动；离散元模型；概率分布分析

The discrete random height variable of worn surface is described with continuous random variables by a mathematical method.

建立了磨损表面轮廓数值化基准、用连续随机变量来描述磨损表面轮廓线高度离散随机变量，对磨损表面高度分布作了数理统计分析，研究了载荷、滑动速度及镀层种类对磨损表面几何特性的影响，将数理统计分析结果与镀层的耐磨性作了比较分析，较为完整、深入地描述了磨损表面的几何特性。

After introducing the set and probability theory, we will explain the random variable, discrete and continuous density distributions to students. Then, the students could learn the statistics in the following course.

从集合、基础机率理论出发，接着介绍随机变量，紧接之各式常用离散与连续机率密度分布，配合实例应用，让学生理解各项组成间之关连性，以为接下来之统计学之学习背景知识。

In this model, a whole chromatography separation process is described with recursion equations of the discrete state vector and corresponding discrete initial-boundary conditions.

该理论模型把色谱分离的整个过程离散为一系列指定时间的溶质空间分布热力学状态的态矢量。

This kind of method can onlybe obtained in time, very dispersed a small amount of data on space distribution.

这种在时间、空间分布上的很离散的采样数据对比精度很差。

This method employs the exponential pulse time series as input to excite CFD model, which can provide slick aerodynamic forces acting on the body through CFD simulation, Then discrete time aerodynamic models, defined among interesting range of frequency, can be trained based on the CFD input output relationship, those models can he implemented thereafter to simulate aerodynamic response for simple-harmonic input of displacement with suitable frequency.

该方法采用具有连续频谱分布且位移光滑的指数脉冲序列为CFD模型运动的输入，通过数值模拟得到作用在模型上的气动力。利用已知的输入和气动力建立起反映系统气动力特征的离散时间气动模型。

The angle can be calculated according to weighting factor in the three-dimensional space.

2在向量空间中计算旋转变换的角度，不同的角度下对应不同的因子载荷，当因子载荷在不同波段上的分布离散度较大时，具有较好的分类结果，便于结果的解释

Firstly, according to electromagnetic field theory, the 2-dimensional (2-D) mathematical model of a three phase squirrel-cage Y802-2 induction motor is developed. Then general equations can be deduced from finite element discrete and functional analysis. The motor's 2D solving region of electromagnetic field is given based on the boundary conditions and assumption conditions of the squirrel-cage induction motor. Through finite element mothod and inner–outer convergence method, magnetic field distributions and magnetic forces of bars can be calculated in following rotor conditions: health rotor, one single broken bar, two adjacent broken bars, two broken bars with one good interval, two broken bars with two good interval and four adjacent broken bars.

本文首先根据电磁场理论建立Y802-2型三相笼型感应电动机二维电磁场的数学模型，并对其进行了有限元离散以及泛函分析，推导出总体方程；在基本假设和边界条件基础上，给出笼型感应电动机二维电磁场的求解区域，然后应用有限元并结合内外双收敛方法，对样机稳态运行进行数值计算，得出电机在转子完好、一根导条断裂、连续两根导条断裂、间隔一根两根导条断裂、间隔两根两根导条断裂及连续四根导条断裂六种情况下的磁场分布和导条所受电磁力的变化情况。

We construct an explicit finite difference approximation for the equation by using the equivalence relation between Riemann-Liouville fractional derivative and Grünwald-Letnikovmake fractional derivative.

再利用Riemann-Liouville分数阶导数与Grtinwald-Letnikov分数阶导数之间的等价关系，构造一显式有限差分近似，这一离散格式可以解释为一个随机游走模型，并且收敛于稳定的概率分布。

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。