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。
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。
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。
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。
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。
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。
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。
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。
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