English translation for "代数几何"

algebraic geometry

Related Translations:

代数集刊:  algebra colloquium

代数项:  algebraic term

现代代数:  moderne algebra

代数多项式:  algebraic polynomial

代数语言学:  algebraic linguistics

结合代数:  associative algebra

交错代数:  alternative algebra

顶点代数:  vertex operator algebra

地图代数:  maalgebra

代数拓扑学:  algebraic topology

Example Sentences:

	1.	It has developed from two sources: algebraic geometry and algebraic member theory . 它由两个方面发展而来，代数几何和代数数论。
	2.	Construction of a class of algebraic - geometry codes 一类代数几何码的构造
	3.	As an important algebraic subject , rings are the base of algebraic geometry and algebraic theory . rings are concerned about many other subjects 环作为一门重要的代数学科是代数几何和代数数论的基础，有许多其它相关学科领域都涉及到环。
	4.	Eisenbud , david . commutative algebra with a view toward algebraic geometry . vol . 150 , graduate texts in mathematics . new york : springer - verlag , 1994 . isbn : 0387942696 《用代数几何的观点的交换代数》 。研究生数学教材第150卷。纽约：斯普林格出版社， 1994年版。书号： 0387942696 。
	5.	He had himself undertaken the education of his daughter ; and to develop in her these important qualities , he continued giving her lessons in algebra and geometry up to her twentieth year , and mapped out her whole life in uninterrupted occupation 他亲自培养自己的女儿，给她传授代数几何课程，以便在她身上培养这两大品德妥善地安排她的生活，要她不断地完成作业。
	6.	The paper applies algebraic geometry , computational geometry , approximation theory to study the following problems : the nother type theory and the riemann - roch type theory of the piecewise algebraic curve ; the number of real intersection points of piecewise algebraic curves ; the real piecewise algebraic variety and the b - net resultant of polynomials 本文应用代数几何，计算几何，函数逼近论等学科的基本理论，分别就分片代数曲线的n ( ? ) ther型与riemann - roch型定理；分片代数曲线的实交点数；实分片代数簇以及多项式的b -网结式进行研究。
	7.	Second , combining with the construction principle of geometry - goppa codes , we present a kind of new algebraic - geometry code by using the properties of algebraic curves on finite fields . we determine the value of the code - length n and d imension k , and the lower bound of the minimal distances of the new algebraic - geometry code . the new algebraic - geometry code have the following characteristics : ( l ) the new code is the generalization of geometry - goppa codes and the algebraic - geometry code constructed by chaoping xing and san ling in 2000 ( 2 ) compared with brouwer ' table of the best known codes , we find more new codes , there are at least 60 new codes under two - dimension cases 其次，结合几何goppa码的构造原理，利用有限域上代数曲线的特点来构造代数几何码，确定了新的代数几何码的码长n和维数k的取值，给出了最小距离d的下限，这类码的特点是： ( 1 )新的代数几何码是几何goppa码和新加坡国立大学chaopingxing和sanling在2000年所构造的代数几何码的推广； ( 2 )这类码中有许多种码的参数优于brouwer码表，仅二维情形时，就有60多种码优于brouwer码表。
	8.	The traditional separation of algebra and geometry has been unfit for the request of time , it must be reformed . to combine " algebra " and " space analysis geometry " is a good reform project . it correctly reflects the inner law , not only show the impact of advanced algebra as a tool of analysis geometry , but also specifically provide to linear algebra with many kinds of geometric background and geometric expression 传统的代数几何分讲已不符合时代发展的要求，必须进行改革，而把高等代数与空间解析几何合并设课是一个较好的选择方案，这样设课不仅体现线性代数作为解析几何的主要工具的作用，而且更具体地给线性代数提供各种几何背景和几何解释。
	9.	Since 1980s , many mathematicians have been engaged in studying the applications of the grobner basis such as solving the system of algebraic equations , factoring polynomials , testing primary ideals , factoring algebraic manifolds , decoding circular codes in corrected codes and algebraically geometrical codes , analyzing and synthesizing high dimensional linear recurring arrays in cryptology , dealing with multidimensional systematic theory , signaling , solving integer programming and so on ) bner基的应用研究包括代数方程组求解，多项式的因子分解，素理想的检验，代数流形的分解，纠错码中循环码和代数几何码的译码，密码学中高维线性递归阵列的分析与综合，多维系统理论，信号处理和求解整数规划等诸多领域。
	10.	The piecewise algebraic curve and the piecewise algebraic variety , as the set of zeros of a bivariate spline function and the set of all common zeros of multivariate splines respectively , are new and important concepts in algebraic geometry and computational geometry . it is obvious that the piecewise algebraic curve ( variety ) is a kind of generalization of the classical algebraic curve ( variety respectively ) 分片代数曲线作为二元样条函数的零点集合，分片代数簇作为一些多元样条函数的公共零点集合，它们是代数几何与计算几何中一种新的重要概念，显然也是经典代数曲线与代数簇的推广。

Similar Words：

"代数集" English translation, "代数集合" English translation, "代数集刊" English translation, "代数集刊（英）" English translation, "代数集刊（英文版）" English translation, "代数几何的" English translation, "代数几何和解析几何" English translation, "代数几何基础" English translation, "代数几何学" English translation, "代数几何研讨会" English translation