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关于Mathieu群的一个新刻画
Mathieu群 第一ONC-度量 刻画
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2018/2/6
设$G$为有限群, $o_1(G)$表示$G$中最高阶元素的阶, $n_1(G)$表示$G$中最高阶元素的个数. 设$G$一共有$r$个$o_1(G)$阶元, 其中心化子的阶两两不同, 并依次设这些中心化子的阶为$c_1(G), c_2(G),\cdots,c_r(G)$. 令$\mathrm{ONC}_1(G)=\{o_1(G); n_1(G); c_{1}(G),c_{2}(G),\cdots...
Discussion of: \Sequential Quasi-Monte-Carlo Sampling" by Mathieu Gerber and Nicolas Chopin
Mathieu Gerber Nicolas Chopin
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2015/8/21
We congratulate Gerber and Chopin for a very interesting paper with much
promise for applications. SQMC is similar to array-RQMC (L'Ecuyer et al.,
2008), in using T sets of N points in [0;1]d
inste...
The overarching finite symmetry group of Kummer surfaces in the Mathieu group M_24
Kummer surfaces Mathieu group High Energy Physics - Theory Algebraic Geometry
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2011/10/9
Abstract: We construct a bijection between the full integral homology lattice of K3 and a Niemeier lattice, which is simultaneously compatible with the finite symplectic automorphism groups of several...
Brewing moonshine for Mathieu
Brewing moonshine Mathieu
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2011/2/28
We propose a moonshine for the sporadic Mathieu group M12 that relates its conjugacy classes to various modular forms and Borcherds Kac-Moody superalgebras.
Mathieu Subspaces of Univariate Polynomial Algebras
Mathieu subspaces the (Strong) Image Conjecture the (Strong) Integral Conjecture
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2011/1/20
We first give a characterization for Mathieu subspaces of univariate polynomial algebras over fields in terms of their radicals.We then deduce that for some classes of classical univariate
orthogonal...
On Integral Forms of Generalised Mathieu Series
Mathieu Series Bounds Identities
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2008/6/27
Integral representations for generalised Mathieu series are obtained which recapture the Mathieu series as a special case. Bounds are obtained through the use of the integral representations.
Some Problems and Solutions Involving Mathieu's Series and Its Generalizations
Mathieu's series Integral representations Bessel functions Hypergeometric functions One-sided inequalities Fourier transforms Riemann and Hurwitz Zeta Eulerian integral
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2008/6/26
The authors investigate several recently posed problems involving the familiar Mathieu series and its various generalizations. For certain families of generalized Mathieu series, they derive a number ...
Multiple Scale and Hamilton-Jacobi Analysis of Extended Mathieu Equation
Van der Pol multiple scale Von Zeipel hamiltonian
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2010/4/12
In this study, we use perturbation approximations and semiclassical methods to investigate the boundary solutions of non-linear vibrating systems. The extended Mathieu Equation, related to the perturb...