几何分布

Given a planar point set,the moving least squaremethod is adopted to denoise and resample it so that the resulting point set is with low noise and uniform sampling density.Then the reliable signed distance field of the preprocessed point set is constructed by using the Level Set method.Finally,an algebraic B-spline function is adopted to fit the signed distance field by solving a linear equation system.

首先给定一个表示封闭曲线、可能带有噪音且分布不均匀的平面点云，采用移动最小平方(moving least square，简称MLS)方法对点云去噪、重采样，得到一个低噪音、分布均匀的"线状"点云，再通过Level Set方法建立该"线状"点云的离散几何距离场，最后用一个代数B-样条函数光顺拟合该离散距离场，代数函数的零点集即为重建曲线。

Proceedings from the theory of geometric optics,the condition adaxial noncoherent imaging of Fizeau opticalsynthetic aperture imaging system is derived to achieve diffracion limited performance over a finite field of view,and the conclusion is that the angular magnification of the individual telescope must be equal to the linear demagnification factor.

从几何光学理论出发，详细推导了斐索型光学合成孔径成像系统的近轴非相干成像条件，即子望远系统的角放大率等于系统的线性缩放因子。对于焦平面上的像点而言，合成孔径成像系统可等效为一个带有特殊形状孔径光阑的望远系统，这要求该孔径光栏的开口形状和位置分布与合成孔径成像系统各子系统孔径大小和位置分布相一致。

NMath Stats contains a data table class with functions for computing descriptive statistics, such as mean, variance, standard deviation, percentile, median, quartiles, geometric mean, harmonic mean, RMS, kurtosis, skewness, and many more; PDF, CDF, inverse CDF, and random variable moments for a variety of probability distributions, including normal, Poisson, chi-square, gamma, beta, Student's t, F, binomial, and negative binomial; Combinatorial functions, such as factorial, log factorial, binomial coefficient, and log binomial; Multiple linear regression; Basic hypothesis tests, such as z-test, t-test, and F-test, with calculation of p-values, critical values, and confidence intervals; One-way and two-way analysis of variance and analysis of variance with repeated measures; Multivariate statistical analyses, including principal component analysis and hierarchical cluster analysis.

nmath统计包含一个数据表的阶层与职能计算描述性统计，如平均，方差，标准差，百分位，中位数， 25 ％，几何平均数，调和的意思是，有效值，峭度，偏度，还有更多的； PDF格式，民防部队，逆民防部队，并随机变量矩的各种概率分布，包括正常，泊松，卡方检定，伽玛，测试版，学生的吨，男，二项式，并负二项分布；组合的功能，例如阶乘，日志阶乘，二项式系数，并登入二项式；多元线性回归；基本假设测试，如的Z测试， t检验， F检验，计算p值，临界值，和置信区间；之一，双向和双方法方差分析和方差分析与反复的措施；多元统计分析，包括主成分分析和聚类分析。

It suggested that under static status, the nasal septum, nasal columella and the lateral feet of nasal alar were the most concentrated areas of stress distribution. They are key mechanical parts of deformed nasal.3.2 Nasal displacement load analysis of patients with unilateral cleft lip and nasal alar collapse Deformed nasal displacement load three-dimensional finite element analysis showed that if the ipsilateral and contralateral nasal parts obtain similar geometry, the positions around nasal columella in ipsilateral nostril were the most stress concentrated region, next parts were the nasal septum and the lateral nasal alar.

提示静态状态下，鼻中隔、鼻小柱和两侧鼻翼外侧角是应力分布最集中部位，也是畸形鼻部的关键力学部位。3.2单侧唇裂鼻翼塌陷畸形患者的鼻部位移载荷形变后力学分析单侧唇裂鼻畸形患者的位移载荷三维有限元分析表明，畸形鼻部的患侧要获得和健侧近似的几何形态，其患侧鼻孔近鼻小柱周围应力分布最为集中，其次为鼻中隔和患侧鼻翼外方。

According to the geometric sense of classification problem and starting from dataset, four determinant algorithms for rotundity distribution, cirque distribution, sphericity distribution and columniation distribution are proposed.

本文利用分类问题的几何意义直接从数据集出发，按照两类样本点之间的距离关系，分别给出SVM训练集呈圆形、环形、球状、柱状分布的测试算法，为基于数据分布的核选择方法提供了实现的基础。

Based on expansion of ODF in series of Generalized Spherical Harmonics by Bunge, we design programming in Orientation Distribution Function for polycrystal which contained five thousands crystals based on increment arithmetic of Voronoi. Geometrical data information, ODF of every crystal in polycrysal are imported to Open Graphics Library to draw, that means we implement visualization of ODF for every crystal in polycrystal.

主要针对具有立方结构的多晶体材料，采用Bunge级数展开法模型计算取向分布函数的理论模型，利用C语言在VC++环境下对ODF值进行了计算，并以Voronoi增量算法为基础生成包含有5000个晶粒的多晶体材料各晶粒的几何数据信息，与计算得到的ODF值一起导入OpenGL进行可视化处理，直观显示了多晶体材料中ODF值在各晶粒内的分布。

With the numerical simulation, the distribution of temperature field in adsorbent bed was got by applying Fluent software and the relation between temperature field and each parameter was analyzed.

建立了吸附床几何模型和数学模型，通过Fluent软件数值模拟得到床层温度分布的变化情况，并深入分析床层参数变化对床层温度分布的影响。

Results show that the existence and geometric shape of land-sea distribution crucially affect the Asian summer monsoon.

试验结果显示：海陆分布的存在以及海陆分布的几何形状对亚洲夏季风的形成有非常重要的影响。

To obtain more uniform temperature distribution and relative lowest temperature over cross section of the rotor, on the basis of test data of a given example of a 150MW turbo generator with air coolant, numerical solution of two dimensional modelling equations of air turbulent flow and heat transfer in and between cooling duct and rotor were carried by the Finite Volume Method at condition of varying configuration parameters of sub slot, the number of winding's cooling ducts and center distance of them, and the diameter of slot wedge.

为了能够得到转子截面较均匀并且最高温度值较低的优化温度分布，文中在150MW空冷汽轮发电机转子实验研究基础上，改变副槽的几何形状、径向通风沟的条数及间距、槽楔出风口直径等几何量，采用有限体积法求解转子本体及通风道内空气的传热及紊流流动等二维离散方程组。

Based on the idea of QR decomposition, a geometric blind separation algorithm is proposed for uniform distribution source signals in this paper. It is known that if source signals follow uniform distribution, the scatter plots of source signals and mixtures will show special geometrical property. Firstly, the mixture signals are whiten so that the scatter plot of which is changed into the scatter plot when they are independent, and then the scatter plot of whiten signals is rotated by C ~2 n times Givens transformation.

该文提出了一种多个均匀分布的源信号混叠的盲分离几何算法，该算法以矩阵的QR分解原理为分离的理论指导，并结合信号在各个阶段其scatter图所具有的特殊几何性质，首先将混叠信号进行白化，使其scatter图恢复为独立时的scatter图形状，然后将白化后的scatter图通过C2n次旋转变换，使其与各坐标轴平行，从而得到n个信号的分离。

With Death guitarist Schuldiner adopting vocal duties, the band made a major impact on the scene.

随着死亡的吉他手Schuldiner接受主唱的职务，乐队在现实中树立了重要的影响。

But he could still end up breakfasting on Swiss-government issue muesli because all six are accused of nicking around 45 million pounds they should have paid to FIFA.

不过他最后仍有可能沦为瑞士政府&议事餐桌&上的一道早餐，因为这所有六个人都被指控把本应支付给国际足联的大约4500万英镑骗了个精光。