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Vector is the new high school textbooks and the new one of the important contents, it is rich in physical background, it is the object of study algebra, and geometry is the object of study is set,"the number of Form" in a mathematical concept of an abstract algebra, linear algebra and functional analysis of the basic mathematical model.

向量是高中新教材中新增加的重要内容之一,它有着丰富的物理背景,它既是代数研究的对象,又是几何研究的对象,是集"数、形"于一身的数学概念,是抽象代数、线性代数、泛函分析中的基本数学模型。

This book provides an introduction to abstract algebraic geometry using the methods of schemes and cohomology.

代数几何学是数学中的重要分支之一,编码理论则是起源于工程技术的应用数学分支,本书是研究这两个分支的完美结合――代数几何码的一本专著。

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。

Methods of algebraic geometry rely heavily on sheaf theory and other parts of homological algebra .

代数几何方法在很大程度上依赖束理论和其他地区的同调代数。

The parameters of codes on the curves over finite fields is always the important problem in algebraic geometry codes.

有限域上代数曲线上的码的参数问题一直是代数几何码研究中的重点问题。

In this paper, we use some algebraic geometry methods to study the construction of χ-invariant algebras of some linear corresponding moduli space of these systems. Moreover, we completely determine the stable and semistable locus of these systems.

本文,我们以代数几何中的一些方法来研究某些线性动力系统的χ-不变代数的构造,并给出这类系统的相应的参量空间的刻划,进一步,完全决定了这类系统的稳定点、半稳定点的轨迹。

Surface blending in terms of geometric continuous is more practical and welcome with view of geometric interpretation which is different to the traditional differential method based on algebra.

几何连续是对参数曲面中参数连续度量进一步深刻的认识和研究。它是可微性的代数概念的几何抽象,克服了参数连续对曲面苛刻,高阶及结果失真等缺点。

Four scores are reported for the ACT Mathematics Test: a total test score based on all 60 questions, a sub score in Pre-Algebra/Elementary Algebra based on 24 questions, a sub score in Intermediate Algebra/Coordinate Geometry based on 18 questions, and a sub score in Plane Geometry/Trigonometry based on 18 questions.

ACT 数学测试共包括4项成绩:基于全部60个问题的总分数,基于24个问题检测初等代数/初等数学的技能分数,基于18个问题检测中等代数/坐标几何的技能分数,以及基于18个问题检测平面几何/三角函数的技能分数。

Within algebraic geometry is the description of geometric objects as solution sets of polynomial equations, combining the concepts of quantity and space, and also the study of topological groups , which combine structure and space.

在代数几何里,把几何对象描述成多项式方程的解集,结合数量和空间的概念;也研究拓扑群,结合了结构和空间。

The classical work usually assumes the setting of complex projective space in favor of its algebraic closedness; thus the classical results cannot be applied directly to the setting of real projective space assumed in most CAD/CAM applications.

古典的代数几何方法对QSIC的分类在复空间进行,由于复空间的代数封闭性,在复空间对QSIC的分类已有非常完善的结果,但其分类结果不能直接应用于实空间中的CAD/CAM问题中。

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