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Abel群的一些分解定理的推广(II)
拟循环模 A-宽 A-不变子空间
2019/4/17
本文讨论了2类具体的主理想整环上的拟循环模，研究了A-宽有限的向量空间，刻画了该类向量空间的结构，阐述了A-宽有限的向量空间的A-不变子空间构成的偏序集必满足极小条件，并给出了带有线性变换的向量空间作为F[λ]-模构成拟循环模的一个充要条件.
Associate Professor TOM ABEL,Department of Physics at Stanford University（图）
Department of Physics at Stanford University Associate Professor Astrophysics
2015/8/13
TOM ABEL,Associate Professor,Department of Physics at Stanford University.He is HONORS:Wempe Prize, Astrophysical Institute Potsdam 2001.CAREER Award, National Science Foundation 2002.Frederick Emmons...
尼耳期．亨利克．阿贝尔（N.H.Abel，1802－1829）（图）
尼耳期．亨利克．阿贝尔 数学
2015/1/21
尼耳期．亨利克．阿贝尔,翻开近世数学的教科书和专门著作，阿贝尔这个名字是屡见不鲜的：阿贝尔积分、阿贝尔函数、阿贝尔积分方程、阿贝尔群、阿贝尔级数、阿贝尔部分和公式、阿贝尔基本定理、阿贝尔极限定理、阿贝尔可和性，等等。很少几个数学家能使自己的名字同近世数学中这么多的概念和定理联系在一起。然而这位卓越的数学家却是一个命途多舛的早夭者，只活了短短的27年。尤其可悲的是，在他生前，社会并没有给他的才能和成...
利用三角范畴的Abel化,引入有限维代数的Abel化等价以及二次导出等价的概念,证明了这2种新的等价与代数的导出等价是一致的.
Numerical Solution of Generalized Abel’s Integral Equation by Variational Iteration Method
Variational Iteration Method Singular Integral Equation Abel’s Kernel
2013/1/30
In this paper, a user friendly algorithm based on the variational iteration method (VIM) is proposed to solve singular integral equations with generalized Abel’s kernel. It is observed that an approxi...
Abel电离层掩星反演方法及误差分析
GPS无线电掩星 改正TEC反演 历元差分反演 国际电离层参考2007
2013/11/4
GNSS-LEO电离层无线电掩星技术是近年来发展的电离层探测新技术.为消除LEO轨道以上的电离层影响,改正TEC反演方法采用非掩星侧的观测数据进行电离层掩星反演.本文首次提出了一种新方法——基于历元差分的电离层反演方法;并将改正TEC与历元差分两种反演方法应用于模拟掩星观测数据反演,随后基于反演结果及误差分析得到一些有益的结论:历元差分反演精度较改正TEC反演精度均有所提高;不管是哪种方法,高轨(...
Solution of the Generalized Abel Integral Equation by Using Almost Bernstein Operational Matrix
Abel Inversion Bernstein Polynomials Almost Bernstein Operational Matrix Of Integration Noise Resistance
2013/1/30
A direct almost Bernstein operational matrix of integration is used to propose a stable algorithm for numerical inversion of the generalized Abel integral equation. The applicability of the earlier pr...
The Abel-Zeilberger Algorithm
Abel's lemma Zeilberger's algorithm holonomic sequence linear difference equation
2014/6/3
By combining Abel’s lemma on summation by parts with Zeilberger’s algorithm, we give an algorithm, called the Abel-Zeilberger algorithm, to find recurrence relations for definite summation...
A geometric approach to integrability of Abel differential equations
Abel equation Lie systems Jacobi multiplier
2011/1/20
A geometric approach is used to study the Abel first order differential equation of the first kind. The approach is based on the recently developed theory of quasi-Lie systems which allows us to chara...
Γ-Abel-Grassmann's groupoids characterized by their intuitionistic Γ-ideals
Γ-Abel-Grassmann's groupoids intuitionistic Γ-ideals
2010/11/18
In this paper, we have discussed several properties of intuitionistic fuzzy {\Gamma}-ideals of a {\Gamma}-AG-groupoid which is the generalization of ideals in AG-groupoid We have characterized an int...
On fuzzy-Γ-ideals of Γ-Abel-Grassmann's groupoids
On fuzzy-Γ-ideals Γ-Abel-Grassmann's groupoids
2010/11/11
In this paper, we have introduced the notion of {\Gamma}-fuzzification in {\Gamma}-AG-groupoids which is in fact the generalization of fuzzy AG-groupoids. We have studied several properties of an int...
Non-trivial elements in the Abel-Jacobi kernels of higher dimensional varieties
algebraic cycles Chow motives Hodge filtration intermediate Jacobian
2010/12/1
The purpose of this paper is to construct new non-trivial elements in the kernels of the Abel-Jacobi maps from the Chow groups of codimension p algebraic cycles to the p-th intermediate Jacobians on h...
Compactifying the image of the Abel map
image Abel map
2010/12/13
Let d X be the Abel map of multidegree d of a singular curve X of genus g. We describe the closure of Im d X inside Caporaso’s compactified Jacobian Pd X for irreducible curves, curves of compact typ...
New stable numerical solutions of singular integral equations of Abel type by using normalized Bernstein polynomials
Orthonormal Bernstein polynomials Abel’s integral equations
2010/9/10
A new numerical method, based on the normalized Bernstein polynomials for solving singular integral equations of Abel type is presented here in this paper. We construct an othonormal family { }n i n i...
Application of Abel-Plana formula for collapse and revival of Rabi oscillations in Jaynes-Cummings model
Application of Abel-Plana formula collapse and revival Rabi oscillations JaynesCummings model
2010/4/9
In this paper, we give an analytical treatment to study the behaviour of the collapse and the revival of the Rabi oscillations in the Jaynes-Cummings model (JCM). The JCM is an exactly soluble quantum...