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1·Quantity and space both play a role in analytic geometry, differential geometry, and algebraic geometry.

数量和空间在解析几何，微分几何和代数几何中都发挥作用。

2·In this paper, we discuss a class of algebraic geometry codes (A-G codes) with good asymptotic parameters.

本文讨论了一类具有好的渐近参数的代数几何码。

3·Numerous applications are described, covering fields as disparate as algebraic geometry and financial markets.

许多申请被描述，包括象代数学的几何学和金融市场一样不同的领域。

4·Studed the blending of implicit algebraic surfaces with the intersections on planes by using algebraic geometry.

利用计算代数几何工具，研究了平面截口的隐式代数曲面的光滑拼接问题。

5·Topics covered range from computational complexity, algebraic geometry, dynamics, through to number theory and quantum groups.

直达数论和量组，题目由于计算的复杂性，代数学的几何学，力学包括范围。

6·Course in Arithmetic by Jean-Pierre Serre reflects this usage, as do such phrases as first order arithmetic or arithmetical algebraic geometry.

教程算术的让皮埃尔塞尔反映了这种用法，因为这样的短语，一阶算术或算术代数几何。

7·Develops the theory of lattices, Outlines ideas from algebraic geometry that have had an impact on integer optimization, and discusses the geometry of integer optimization.

逐步阐明格论，概述影响整数最优化的代数几何学思想，并讨论整数最优化的几何学。

8·Diophantine equation is an important subject in number theory and closely connected with algebraic number theory, combinatorics, algebraic geometry and computer science etc.

丢番图方程是数论中一个十分重要的研究课题，与代数数论、组合数学、代数几何等有密切联系。

9·In the nineteenth century, the system of algebraic knowledge is enormous, which contains the permutation group, matrix, algebraic number theory, algebraic geometry and other branches.

十九世纪的代数学知识体系庞大，它包含置换群、矩阵、代数数论、代数几何等多个分支。

10·This paper describes the mathematics base of algebraic geometry and ECC. It also discusses the elliptic curve discrete logarithm problem (ECDLP) and the security applications of ECC on E-commerce.

该文描述了代数几何与ecc的数学基础及椭圆曲线离散对数问题困难性，讨论了ECC在电子商务中的安全应用。