代数几何的

Mathematics being an algebraic or geometric expression from which another expression is derived.

指其他表达式是从中派生出来的代数或者几何表达式。

Or think of it as an algebraic extension of your geometry system.

或者考虑把该软件作为几何系统的代数扩展。

Basic Mathematics has undergone an amazing evolution and born fruit on fields such as algebra, functional analysis, dynamic system, algebraic number theory and differential geometry.

基础数学的研究经过多年工作积累，在代数学、泛函分析、动力系统，代数数论，微分几何等领域在国内外有一定影响。

The meaningful regions obtained by range image segmentation correspond to the surface patches of 3D object.The 3D surface patches are then reconstructed by the algebraic surface fitting method;the surface parameters are estimated by solving generalized eigenvector problem. The geometric model of 3D object is constructed from reconstructed surface patches by using CAD geometric modeling tool GEOMOD.

首先通过编码光栅方法获取三维物体的深度图象，并采用数学形态学的方法加以分割，然后利用代数曲面拟合手段对分割后的三维曲面片进行重建，并使用CAD几何建模工具由重建的曲面片构成物体的几何模型。

We shall have occasion to deal with geometry, both Euclidean and non-Euclidean, with arithmetic, algebra, analytic geometry, the theory of irrationals, set-theory, calculus of probability, and mathematical logic.

我们将与算术，代数，解析几何机会几何处理，包括欧几里德和非欧几里德，是无理的理论，集理论，概率演算，和数学逻辑。

Because it emphasizes on algebraic method, geometric intuition are lose. Especially in the unit of conic section, although "the unity of geometrical material and algebraic symbol "is the teaching objective of text books, but according to the material of text books, it is difficult for students to arrive.

本文首先试著分析目前高中数学教科书中，对於几何部份的教材编写上，由於编写者的意识型态不同，理念不同，数学教师对教科书的诠释就会因此而有不同，因而造成目前高中几何教学著重在代数方程式上的一些问题。

In the Mathematics Test, three subscores are based on six content areas: pre-algebra, elementary algebra, intermediate algebra, coordinate geometry , plane geometry , and trigonometry.

数学测试部分，共六个方面的内容组成了三个部分的得分：算术、级代数、级代数、何坐标、面几何、角形。

In the Mathematics Test, three subscores are based on six contentareas: pre-algebra, elementary algebra, intermediate algebra,coordinate geometry, plane geometry, and trigonometry.

数学测试部分，共六个方面的内容组成了三个部分的得分：算术、初级代数、中级代数、几何坐标、平面几何、三角形。

There were many champions of synthetic geometry , Euclid-style development of projective geometry, in the nineteenth century, Jakob Steiner being a particularly brilliant figure.

该模型的欧几里得的要素，发展的几何连接作为一个不言自明的制度，是在紧张与笛卡尔的减少几何代数通过坐标系统。

There are three main methods in face localization: localization according to face outline, localization according to complexion and localization according to templates constructed by some standard sample images. As to feature extraction, it can be divided into two parts because face features can be divided into geometrical features and algebraic features. While extracting geometrical features, the features of eyes, nose, mouth, eyebrows can be gained by some image processes: binary, sharpen, smooth, projection, calculating gradient and so on. In order to extract algebraic features, we can do some mathematical transformation for the digital images such as singular value decomposition, K-L transformation.

在人脸检测部分，目前存在的方法有利用人脸的几何轮廓进行检测、利用人脸的肤色信息进行检测、构造标准人脸模板进行匹配检测等等；在人脸特征提取部分，可以用一些图像处理的方法如投影、二值化、求梯度图像等提取人脸中各特征器官如眼睛、鼻子、嘴巴等的几何特征，另外也可以借助于数学变换，求取人脸图像的一些代数特征，如对图像进行奇异值分解，以奇异值代表图象的特征，或对图像进行K-L变换，以图像在构造的特征空间上的投影系数作为图像的特征等；在识别部分，可以通过距离度量或相似度来判断输入图像与样本图像的匹配程度，还可以通过神经网络方法进行人脸的识别。

This one mode pays close attention to network credence foundation of the businessman very much.

这一模式非常关注商人的网络信用基础。

Cell morphology of bacterial ghost of Pasteurella multocida was observed by scanning electron microscopy and inactivation ratio was estimated by CFU analysi.

扫描电镜观察多杀性巴氏杆菌细菌幽灵和菌落形成单位评价遗传灭活率。