我的几何和代数只是勉强及格。可是，她这两门课在班里都是第一。
I barely passed algebra and geometry, but here she's head of her class in both.
这位几何学家在做完一个关于自己研究的演讲后对他说：“你知道吗，我总是觉得代数很恐怖”。
He said: 'You know, I have always been dreadful at arithmetic.'
好的，现在我要画一张图代表什么是…这是代数，什么是几何，这张图代表了什么？
Ok, now I wanna draw a picture that represents what's this, this is algebra, what the geometry, what's the picture that goes with it?
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.
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.
根据监护的科斯马斯，约翰取得如此迅速的进展，在热烈的语言，他的传记作家，他很快等于丢番图代数和欧几里得几何。
Under the tutelage of Cosmas, John made such rapid progress that, in the enthusiastic language of his biographer, he soon equalled Diophantus in algebra and Euclid in geometry.
他们的数学考试有代数和几何方面的问题。
Their mathematics test had questions on algebra and geometry.
我始终没有真正地领会代数学在几何学上的应用。
I have never got so far as to understand properly the application of algebra to geometry.
雷恩·第斯卡兹发现一种用代数方法研究几何问题的方法，称为解析几何学。
Rene Descartes found a way to study geometric problems by methods of algebra called analytic 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.
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.
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.
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.
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.
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.
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.
采用曲面的表面法矢建立了毛坯的几何模型，结合扫描体代数方程，实现了加工仿真和NC代码验证算法。
Surface normal vector technique is used to setup geometry models for blanks. Combined it with s AE, we implement algorithm for NC machining simulation and Verification.
本文对这一几何问题利用齐次线性方程组给予了代数方法的又一种证明。
This article given another kind of proof using algebra method by system of homogeneous linear equations to the geometry question.
文中阐述了由直线和圆弧组成的零件轮廓基点计算的有效方法，并以典型实例介绍了代数法和几何法在基点计算中的应用。
It also expounds effective methods of basic points' coordinates calculation and USES the typical example to illustrate the algebra and geometry in basic points' coordinates calculation.
你需要代数，和一些理解解析几何的知识。
You need that. And a basic understanding of Cartesian geometry, too.
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.
提出一种十二面体变几何桁架机器人机构正位置分析的代数求解方法。
An algebraic method is proposed for the forward displacement analysis of the dodecahedral variable geometry truss manipulators.
该文证明了这样抽取的代数特征具有一些重要的代数和几何不变性。
This paper proved that this algebraic feature has some important properties of algebraic and geometric invariance.
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.
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.
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.
通过对卡诺结构多维性的分析讨论，推介一种新的几何代数算法，并充分论证其正确性和有效性。
Through commenting on the multiple dimensional character of Karnaugh structure, a new algebra-geometry algorithm with its correctness and efficiency is presented.
通过对卡诺结构多维性的分析讨论，推介一种新的几何代数算法，并充分论证其正确性和有效性。
Through commenting on the multiple dimensional character of Karnaugh structure, a new algebra-geometry algorithm with its correctness and efficiency is presented.
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