几何分布

They include the fundamental concepts of jet bundle geometry needed in describing time-dependent mechanical systems, decomposition of jet bundles into a direct sum according to the constraints, horizontal distributions on constraint mainifolds, the global formulation of D'Alembert-Lagrange's equations and Chaplygin's equations, and nonholonomic mechanics on a Riemann-Cartan manifold. Meanwhile, the geometric significance of Chetaev's conditions and $\rd$-$\delta$ commutation relation are discussed in depth.

本文主要综述非完整约束系统几何动力学的外附型和内禀型Lagrange理论，包括非定常力学系统所需要的射丛几何学的基本概念、射丛按约束的直和分解、约束流形上的水平分布、 D'Alembert-Lagrange方程与Chaplygin方程的整体描述、以及Riemann-Cartan流形上的非完整力学，文中对Chetaev条件和d-δ交换关系的几何意义作了深入讨论。

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。

According to the principle of fractal geometry, the fractal models for describing the pore size distribution and capillary pressure curve were developed.

应用分形几何的原理，推导了储层岩石不同孔隙分布和毛细管压力曲线的分形几何模型。

This paper proposes a cluster analysis approach based on geometric probability, which determines the classification number directly according to the distributive characteristics of pixels in the spectral space by utilizing geometric probability and gradually generates the hierarchical classification system beginning at the top level.

本文提出基于几何概率的聚类分析方法，该方法运用几何概率直接根据像元在灰度空间中的分布特征决定分类数，按照先分大类、后分小类、逐层细分的顺序确定分类方案。

On this basis, it deeply analyzesed the spatial geometry structure of hyper spectral data lattice distribution, concluded that high\|dimensional space of remote sensing hyper spectral data belong to low\|dimensional geometry structure \|"hyperplane" shape, and anomaly point group which includes alteration information usually dissociates out the "hyperplane".

在此基础上，对高光谱数据点阵分布的空间几何结构进行了深入的研究分析，推断出遥感高光谱数据集合的高维空间属于低维几何结构"超平面"形态，而包含蚀变信息在内的异常点群通常会游离在"超平面"之外。

Hence the study of geometric properties, which include the distribution of singular and inflection points and the convexity of parametric curves, is the key for designer to control the curves shape.

在计算机辅助几何设计的光顺曲线造型中，不希望曲线带有二重结点、尖点及多余拐点，因此对参数曲线的几何性质(包括奇、拐点分布及凸性等)的研究是控制其曲线形状的关键。

An algorithm of determining the minimum convex spherical polygon is presented.

继而给出星下点最小凸球面多边形的判定算法；与传统方法不同，该算法无需求解星下点坐标即可判定星下点几何特征，进而计算卫星分布面积，作为星下点几何特征的二维表征。

The results shows that the probability distribution of discharge striking points is related to the breakdown voltage,breakdown time and the development of head-on discharge, it is influenced by geometric shape of object, ground resistance, and geometric striking distance.

结果表明，放电击中点的概率分布与上电极对各目的物的击穿电压、击穿时间和迎面放电的发展有关，受目的物几何形状、接地电阻和几何击距等因素的影响。

In this paper, based on a pill-box window model with a conical-shaped alumina ceramic and Ansoft HFSS software, the relation of VSWR with various electrical parameters in the window is simulated; the effects of variations of the output window structure on electrical field intensity, microwave power flow and quantity of heat are analyzed; the electrical characteristics of frequency bandwidth, power capability and heat dissipation for the pill-box window with conical-shaped or disk alumina ceramic are discussed, which shows that, with a rational structure of the window with conical-shaped alumina ceramic, the output capability of microwave peak and average power may greatly be increased, the secondary electron emission may effectively be suppressed, and heat dissipation may become more uniform and be easier for cooling.

本文在前人工作的基础上，基于圆锥形陶瓷盒形输出窗模型，采用Ansoft HFSS三维计算软件的优化模拟，对该输出窗模型的驻波频率特性与各种结构参量的关系进行了优化模拟，分析了该输出窗片结构变化对其表面的电场分布，功率流分布、热量分布的影响，得出最优模型参数。并且探讨了陶瓷窗片的形状和几何结构对改善输出窗的频带特性、提高峰值功率和平均功率、抑制二次电子倍增方面的作用。

The distribution, host and geometric shape feature of vein-bearing fault structural belts, auriferous quartz and gold orebodies in gold orefield, ore-control regularity of Xiao qinling gold deposit are briefly discussed.

本文简要叙述了小秦岭金矿田内含脉断裂带、含金石英脉和金矿体的分布和赋存特征及其几何形态特征，探讨了形成机理，提出用统计分析、趋势分析和自相似性分析为一体的累集式几何解析原理进行深部预测找矿；同时在仔细观察、分析的基础上，总结了小秦岭金矿控矿规律。

We have no common name for a mime of Sophron or Xenarchus and a Socratic Conversation; and we should still be without one even if the imitation in the two instances were in trimeters or elegiacs or some other kind of verse--though it is the way with people to tack on 'poet' to the name of a metre, and talk of elegiac-poets and epic-poets, thinking that they call them poets not by reason of the imitative nature of their work, but indiscriminately by reason of the metre they write in.

索夫农 、森那库斯和苏格拉底式的对话采用的模仿没有一个公共的名称；三音步诗、挽歌体或其他类型的诗的模仿也没有——人们把&诗人&这一名词和格律名称结合到一起，称之为挽歌体诗人或者史诗诗人，他们被称为诗人，似乎只是因为遵守格律写作，而非他们作品的模仿本质。

The relationship between communicative competence and grammar teaching should be that of the ends and the means.

交际能力和语法的关系应该是目标与途径的关系。