离散分布

This article discusses fix quantity connection between quaternion non-linearity continuous function △ERR_ and △ERR_ in the reference literature~([1]),and its decisive effect on distributing evolvement disperse drop field in the error ratio function ERR_(100nm%)λ_(centreT,n,thus paves the way for the function degree of redundancy of Pipelined-Flash A/D.

本文讨论参考文献[1]中两类四元非线性连续函数△ERRdn与△ERRdj之间的定量关系，对误差比率函数ERR100nm%离散点域分布演变所起的决定性作用。

The contact modal of turbine disk and blade rabbet is made aiming at the high reliability. The 3D heat-structure coupling modal is computed by ANSYS and the dangerous position is confirmed. The 15 scattering point of strain breadth is computed by APDL language of center-composition in probability design mold. The teacher signal is intervened referring to the points.

针对航空发动机涡轮盘榫接触部位在寿命期内高可靠性的要求，建立某涡轮盘榫接触模型，用ANSYS计算其热、结构耦合的三维弹塑性模型的应力应变并确定危险部位，然后用APDL语言在概率设计模块中采用中心组合法计算15个应变幅分布的离散点值，对这些点进行插值得到人工神经网络的目标函数。

In this paper, a new tracing algorithm is presented for planar curve reconstruction based on the regular distribution property of the point set.

根据实际采样中离散点分布相对集中的特点，给出了一个用简单曲线拟合平面上的无序点集的跟踪算法。

The free surface of the flow can be obtained from the discrete solution of the free surface flow equation.

建立了三维水流大涡模拟数学模型，采用迭代法求解速度和压力，再由离散化的自由水面运动方程求解自由水面；根据试验观测的水面线和流速分布资料，对数学模型进行验证。

Markov chain: discret-time Markov chains, classification of states, ergodic, stationary distribution.

马尔可夫链：离散时间的马尔可夫链，状态的分类，遍历性，平稳分布。

It was supposed that the dynamic moving process of the stock price and the return was driven by Geometry Brownian Motion and the lognormal distribution respectively. Takinginto account the riskneutral environment, we got a closedform analytical formula for deferred arithmetic asian options by the method of Taylor expansion of the stochastic integral formula within the terminal payoff. Furthermore, with the series definition of the definite integral, we transferred the continuous problem into a discrete one which is simpleenough to figure out. Meanwhile we tested the accuracy of the formula with the Monte Carlo simulation as a benchmark and the result shows that the formula can be utilized to price the related financial derivatives.

在标的价格服从几何布朗运动、收益服从对数正态分布的前提下，通过风险中性定价原理，对到期损益中的随机积分进行任意次Taylor近似，并由级数定义将此连续问题离散化，给出了延期算术平均亚式期权封闭形式的解析定价公式，并与Monte Carlo模拟得到的价格作为标尺对得到的公式进行精确性检验，结果表明，所得公式可以应用到金融实务中对此类衍生品定价中。

On the aspect of urban spatial distribution DM: Adopting the conception model of combination of location and attribute, the author brings spatial coordinates, spatial relationship and attribute character into the unitive model of spatial computation, studies city's land suitableness evaluation and the method of spatial clustering in division of urban function districts and brings forward the arithmetic of classification layer. Aiming at land spatial optimization allocation, the author puts forward SGA. In this arithmetic selection, crossover and mutation operator are progressed on the space.

在城市空间分布数据挖掘方面：采用空间—属性一体化概念模型，把空间坐标、空间关系和属性特征纳入到统一的空间计算模型，分别对城市土地适宜性评价和城市功能区划分中的空间聚类方法进行了研究，并提出了一种分类图层的平滑算法；针对城市土地的空间优化配置，提出了一种空间遗传算法，该算法中的选择、交叉、变异算子都是在空间上进行的；对多要素离散空间场之间的相关性测度，定义了一种基于信息熵的规范的相关指数，并给出了计算方法。

The advantages of this new method are:(1) The field conductivity distribution function is fitter the actual condition than tradition methods:(2) On the condition of triangle elements cut of field, making the calculation speed increase in large degree than tradition methods.

与单元电导率重建算法相比，节点电导率重建算法的优点有：(1)使场域电导率分布函数更符合实际情况，克服了传统算法中对电导率作离散化处理的缺陷；(2)当场域采用三角形单元剖分方式时，在场域的剖分密度保持不变的情况下，可以大大提高重建计算的速度；(3)在场域采用三角形单元剖分方式时，场域的剖分密度可以比以前加大一倍，在不降低重建计算速度的前提下，可以改善重建计算的精度；(4)由于重建的是所有节点的电导率，避免了先前单元电导率重建图像中"阶梯"状边缘和"锯齿"状边缘的出现，明显地改善了图像的视觉效果。

The author Discrete equations are attanied by using Alternating Direction Implic and equations are solved by using Tridiagonal Matrix Algorithm.The velocity and pressure distribution of spiral flow is attained.

本文采用交替方向的隐式格式离散方程，并利用追赶法求解代数方程组，得到了圆管螺旋流速度场、压力场的分布规律。

Whether the area and the shape of the discrete global grids model units are similar to each other affects the precision of the model.Therefore the quantitative analysis of the unit geometry distorts,distribution rule and so on is one of the important parts in model creating.

球面离散格网模型单元的面积、形状是否相似关系到模型的精度，因此定量分析单元的几何变形、分布规律等是格网模型建模的重要组成部分。

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。