几何化

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。

The key idea of the finite element method is geometric model discrete.

几何模型的离散化是有限元分析中的核心思想。

It is a valuable resource for anyone wanting to understand the mathematical foundations of geometry, rasterization and lighting techniques. The FAQ for the comp.graphics.algorithms Usenet group also contains useful material.

对于希望理解图形学几何，光栅化和光照技术的数学基础的人来说，这是本有价值的书。comp.graphics.algorithms Usenet组的FAQ也有很多有用的信息。

In the development of digital contents of mathematics, it is mainly to adopt the concepts of iteration and vision to combine dynamic geometry software GSP (The Geometer's Sketchpad) with its characteristic of dynamics, to use the concepts of iteration, specialization and generalization to develop digital contents of mathematics.

在数位内容的研发方面，主要是以递回及视觉化的概念，在动态几何软体GSP The Geometer's Sketchpad ）上，结合其动态呈现的特性，运用「递回」、及「特殊化与一般化」的概念，研发数学数位内容。

Level of detail representations perform an effective tool for real time rendering of complex geometric environments.

1简介为了满足日益增长的计算机图形真实感需要，几何模型变得越来越高度细节化。

The result can be widely applied to many aspects of product design systems,such as parametric design by geometric reason-ing,decomposition of complex design tasks and dependency analysis of design parameters.

该方法在产品设计中有广泛的应用，利用这个模型和算法可较好地解决参数化设计中的几何推理问题，还可用作概念设计的工具，用于完成复杂系统设计任务的划分及定序、设计变量之间相互依赖关系分析等工作。

This paper presents a model and algorithms of causal qualitative reasoning based on integer programming. The result can be widely applied to many aspects of product design systems,such as parametric design by geometric reasoning,decornposition of complex design tasks and dependency analysis of design parameters.

该方法在产品设计中有广泛的应用，利用这个模型和算法可以较好地解决参数化设计中的几何推理问题，还可以用作概念设计的工具，用于完成复杂系统设计任务的划分以及定序、设计变量之间相互依赖关系分析等工作。

A complex 3-D geometric model of the cylinder block was established by using the parametrized modeling technology, and then a 3-D finite element model of the block was constructed.

运用参数化特征建模技术建立了气缸体优化设计前后的三维几何模型。

So it can make some of the contents which are hard to understand in the mathematical analysis easy through the image of the geometric interpretation, to learn mathematics easier.

使数学分析中有些难以理解的内容，通过形象的几何解释，化难为易，使数学学习更加容易。

The algorithms are respectively to compute arithmetic mean of the probabilities and normalized geometric mean of the probabilities.

采用公理化方法给出了相应的算法，这两个算法算法分别是对概率进行算术平均和几何平均，再进行归一化处理。

Lugalbanda was a god and shepherd king of Uruk where he was worshipped for over a thousand years.

Lugalbanda 是神和被崇拜了一千年多 Uruk古埃及喜克索王朝国王。

I am coming just now,' and went on perfuming himself with Hunut, then he came and sat.

我来只是现在，'歼灭战perfuming自己与胡努特，那麼，他来到和SAT 。