algebraic geometry

Topics covered range from computational complexity, algebraic geometry, 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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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。

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The theory of local cohomology modules plays an important role in the study of commutative algebra and algebraic geometry.

局部上同调模在交换代数和代数几何的研究中起着重要的作用。

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For commutative algebra, algebraic geometry, and singularity theory, the SINGULAR computer algebra system provides a large variety of algorithms in the package kernel as well as shared libraries.

对于交换代数、代数几何和奇点理论，SINGULAR计算机代数系统在软件包内核以及共享库中提供了大量的算法。

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In 1945 MacLane and Eilenberg introduced the concept and theories of categories, which have played a role in many branches of mathematics such as algebraic geometry, topology, differential geometry and functional theories.

自从1945年MacLane与Eilenberg提出范畴的概念和理论以来，它在数学的许多分支，例如代数几何学、拓扑学、微分几何学以及函数理论中均已有所应用。

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The research of Wu includes the following fields: algebraic topology, algebraic geometry, game theory, history of mathematics, mathematics mechanization, and his most important contribution is to topology ( the Wu class and Wu formula), which is somewhat foundational in its field.

吴文俊的研究领域为拓扑学、代数几何、对策论、数学史、数学机械化，最重要的贡献是拓扑学（“吴示性类”、“吴公式”），在所属领域是基础性的。

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Such kind of graded algebras arise naturally in representation theory and in algebraic geometry ( [ BGS ] ).

表示论中出现的许多代数(如路代数)和代数几何中出现的一些代数 ( 参见 [ BGS ] ) 是这样的正分次代数.

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Manifolds occur in algebraic geometry, differential equations, and classical dynamics.

流形出现于代数几何 、 微分方程式和经典动力学中.

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Vector is one of the significant and basic conceptions in contemporary mathematics, which also acts as an important tool and bridge between algebraic geometry and trigonometric function.

向量是现代数学中重要和基本的数学概念之一，是沟通代数几何与三角函数的一种重要工具和桥梁，同时也是一种重要的数学语言，同时还广泛应用于物理和科技领域。

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It has developed from two sources : algebraic geometry and algebraic member theory.

它由两个方面发展而来,代数几何和代数数论.

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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.

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。

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Topology, Ergodic Theory, Real Algebraic Geometry.

拓扑，遍历理论，实代数几何。

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In the calibration of the system, a plan based on the principle of cross ratio invariance in algebraic projective geometry was used to calibrate the coded light planes.

在对编码投影光平面的标定过程中，提出利用代数射影几何中的交比不变原理对其进行标定的方案，并论述了标定原理。

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Algebraic Topology; Symplectic Geometry and Topology; Ordinary and Partial Differential Equations.

代数拓扑；辛几何与拓扑；常微分和偏微分方程。

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Nowadays, our country is carrying through curricular innovation, we are gradually closed to contemporaneity geometry, it is inevitable for algebraic geometry.

现在我国正在进行课程改革，慢慢向现代几何靠拢，几何代数化是不可避免的。

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the geometry of syzygies a second course in commutative algebra and algebraic geometry

合系几何——交换代数和代数几何的第二教程

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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.

李群机器学习（LML）既继承了流形学习的优点，又充分利用了李群的代数结构和几何结构的数学本质，自提出以来就引起了许多研究者的关注。

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