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.
本文讨论了一类具有好的渐近参数的代数几何码。
In this paper, we discuss a class of algebraic geometry codes (A-G codes) with good asymptotic parameters.
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。
Quantity and space both play a role in analytic geometry, differential geometry, and 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。
Studed the blending of implicit algebraic surfaces with the intersections on planes by using algebraic geometry.
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。
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.
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。
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.
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.
玛丽·马塔萨琳教我代数和几何。
印度人和阿拉伯人的闯劲把算术和代数又一次提高到几乎和几何并驾齐驱的地位。
Hindu and Arab venturesomeness brought arithmetic and algebra to the fore once again and placed it almost on a par with geometry.
举例来说，一个学生可能在代数方程序的学习上有困难，但他可能在空间几何方面有天赋。
A student who has trouble with algebraic equations, for instance, may have a talent for spatial geometry.
算术、代数、几何和三角是数学的分科。
Arithmetic, algebra, geometry, and trigonometry are branches of mathematics.
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.
勘测人员利用几何，代数，三角学，以及各种技术，对土地及其特征进行精确的测量。
Surveyors use geometry, algebra, and trigonometry, as well as a variety of technologies, to take exact measurements of the land and its features.
但是打个比方，当人们试图利用代数和几何来理解太阳系的时候，他们只能够说明这些行星的轨道。
But as an analogy, when people were trying to understand the Solar System with algebra and geometry, they could only describe the planets' orbits.
本文采用的研究方法有矩阵方法，代数方法和微分几何理论。
The methods used in this dissertation include matrix, algebra as well as differential geometry theory.
本文应用共形几何代数分析串联机器人的运动学反解。
This paper applies conformal geometric algebra to analyze the reverse kinematics of serial robot.
模式识别；可视化；多元数据；图表示；几何代数；子空间坐标；优化。
Pattern Recognition; Visualization; Multivariate Data; Graphical Representation; Geometric Algebra; Subspace Coordinates; Optimization.
本文提出了一种新的求解操作器运动学逆问题的分解解法，它是对现有的代数解法和几何解法的综合。
This paper combines the algebraic method and geometric method and presents a new resolution meth-od of solving the inverse kinematic problems of manipulators.
关于两段正则曲线在公共节点处的几何连续性的问题可以从微分几何和代数的角度考虑。
The geometric continuity of two regular curves at the connection point can be discussed from differential geometry and Algebra.
讨论了基于代数距离的目标函数的几何意义。
The geometric meaning of the objective function based on algebraic distance is included.
数学模型用来反映过程本身各有关变量之间本质关系，它可能是代数方程、微分方程或几何曲线。
The math model is used to image the essential relation of every variable in the process, maybe the model is algebra equation, or differential equation, or geometry curve.
数学共八题，算术两题，代数三题，几何三题。
In mathematics, we had eight subjects, two from arithmetic, three from algebra, and three from geometry.
针对一类四次隐式代数曲面，提出一种基于分片的几何参数化方法。
This paper proposes a piecewise geometric approach to parametrize a kind of quartic implicit algebraic surface.
从代数动力学算法的观点考察了辛几何算法和龙格-库塔算法的保真问题。
The symplectic geometric algorithm and the Ronge-Kutta algorithm are examined from the viewpoint of the algebraic dynamical algorithm.
中学生必须学代数与几何。
Middle school students have to learn both algebra and geometry.
他研究的几何在数学上叫做(李代数)E8结构。这个结构在1887年首先被挪威数学家SophusLie发现。
The geometry he has been studying is that of a structure known to mathematicians as E8, which was first recognised in 1887 by Sophus Lie, a Norwegian mathematician.
代数不过是书写的几何，而几何不过是图形的代数。
Algebra is but written geometry and geometry is but figured algebra.
我相信我们缺少另一门分析的学问，它是真正几何的和线性的，它能直接地表示位置，如同代数表示量一样。
G. W. Leibniz I believe that we lack another analysis properly goemetric or linear which expresses location directly as algebra expresses magnitude.
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.
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.
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