中学生必须学代数与几何。
Middle school students have to learn both algebra and geometry.
解析几何是高中数学的重要部分，它将代数与几何有机地结合在一起。
Analytic geometry is the very important part in senior high school, it combine algebra with geometry.
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.
从那时开始，人们发现量子群在很多领域都有着深刻的应用，范围遍及理论物理、辛几何、扭结理论与约化代数群的模表示理论等。
Since then they have found numerous and deep applications in areas ranging from theoretical physics, symplectic geometry, knot theory, and modular representations of reductive algebraic groups.
课程内容包括空间解析几何与向量代数、多元函数微分学、多元函数积分学和无穷级数等几大板块。
This course consists of several major parts such as vectors and analytic geometry derivatives integration and series.
课程内容包括常微分方程、空间解析几何与向量代数、多元函数微分学、多元函数积分学和无穷级数等几大板块。
This course consists of several major parts such as ordinary differential equation vectors and analytic geometry derivatives integration and series.
本课程主要内容包括：向量代数与空间解析几何、多元函数微积分、无穷级数等。
This course mainly includes: vector algebra and analytic geometry in space, multivariable calculus and infinite series.
代数拓扑；辛几何与拓扑；常微分和偏微分方程。
Algebraic Topology; Symplectic Geometry and Topology; Ordinary and Partial Differential Equations.
系统地讨论了代数多项式的算术-几何均值定理，并对原型几何规划理论作出了简明的推导与分析。
This paper discussed the theorem of the average arithmetic geometric mean of algebraic polynomials systematically, then derived and analyzed the original geometric programming (GP) briefly.
基于近代微分几何理论与李代数之上的非线性控制理论形成了一新的理论分支。
Based on modern differential geometric approach and Lie algebra, nonlinear control theory has formed a new theoretical branch.
从代数及几何角度探索了与双曲线仅交于一点的直线的条数，并给出了一般结论。
This paper probes into the number of straight lines which intersects hyperbola only in one point from algebra and geometry perspectives, and provides the general conclusion.
有自己独特的运算结构和系统，并且与三角函数、平面几何、空间几何、代数等都有密切联系。
Vector has its operational method and system unique to number, and it is closely connected with algebra, geometry and so on.
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。
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。
Diophantine equation is an important subject in number theory and closely connected with algebraic number theory, combinatorics, algebraic geometry and computer science etc.
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