1. Quantity and space both play a role in analytic geometry, differential geometry, and algebraicgeometry.
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。
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2. In this paper, we discuss a class of algebraicgeometry 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。
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3. Numerous applications are described, covering fields as disparate as algebraicgeometry 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。
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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。
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5. Topics covered range from computational complexity, algebraicgeometry, 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。
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6. Course in Arithmetic by Jean-Pierre Serre reflects this usage, as do such phrases as first order arithmetic or arithmetical algebraicgeometry.
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。
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7. Develops the theory of lattices, Outlines ideas from algebraicgeometry 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。
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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。
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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。
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10. This paper describes the mathematics base of algebraicgeometry and ECC. It also discusses the elliptic curve discrete logarithm problem (ECDLP) and the security applications of ECC on E-commerce.
11. Lie group Machine learning (LML) inherit the advantages of manifold learning method and make full use of the Lie group's structure of algebraic and geometry in mathematics.
12. An algebraic method is proposed for the forward displacement analysis of the dodecahedral variable geometry truss manipulators.
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。
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13. A student who has trouble with algebraic equations, for instance, may have a talent for spatial 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。
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14. 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.
15. Similar to methods of differential geometry theory, equivalent theorem between differential algebraic systems passivation and KVP property was used by introducing m derivative.
16. Knowledge of elementary algebraic topology and elementary differential geometry is recommended, but not required.
建议事先知道一些关于代数拓扑和微分几何的基本知识，但不是必需的。
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17. Many students who do not enjoy standard Chemistry courses love Organic Chemistry because it is not algebraic but more like geometry in the kinds of thinking required.
很多不喜欢标准化学课程的学生会喜欢有机化学，因为就思考上而言，有机化学更像几何而不是大量的计算。
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18. Algebraic Topology; Symplectic Geometry and Topology; Ordinary and Partial Differential Equations.
