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Quantum Isometries of the finite noncommutative geometry of the Standard Model
Quantum Isometries finite noncommutative geometry Standard Model
2010/12/6
We compute the quantum isometry group of the finite noncommutative geometry F describing
the internal degrees of freedom in the Standard Model of particle physics. We show that this
provides genuine...
Ramanujan-like series for $1/\pi^2$ and String Theory
Ramanujan-like series for 1/2 Hypergeometric Series Calabi-Yau differential
2010/12/13
Using the machinery from the theory of Calabi-Yau differential equations,we find formulas for 1/2 of hypergeometric and non-hypergeometric types.
Approximate variances for tapered spectral estimates
Asymptotic variance data taper (smoothed) periodogram
2010/12/15
We propose an approximation of the asymptotic variance that removes a certain discontinuity in the formula for the raw and the smoothed periodogram in case a data taper is used. It is based on an appr...
Funk, Cosine, and Sine Transforms on Stiefel and Grassmann manifolds
The Funk transform the Radon transform Fourier analysis
2010/12/3
The Funk, cosine, and sine transforms on the unit sphere are indispensable tools in integral geometry. They are also known to be interesting objects in harmonic analysis. The aim
of the paper is to e...
Restrictions on the geometry of the periodic vorticity equation
Non-metric Euler equation geodesic flow diffeomor-phism group of the circle
2010/11/30
We prove that several evolution equations arising as mathematical models for fluid motion cannot be realized as metric Euler equations on the Lie group Diff1(S1) of all smooth and orientation-preservi...
Ternary Sums of Squares and Triangular Numbers
Primitive spinor exceptions ternary quadratic forms triangular numbers
2010/12/14
For any integer x, let Tx denote the triangular number x(x+1)2 .In this paper we give a omplete characterization of all the triples of positive integers ( , , ) for which the ternary sums x2+ Ty + T...
In this paper we present a new criterion on characterization of real inner product spaces.
Edge Growth in Graph Cubes
Edge Growth Graph Cubes
2010/11/29
We show that for every connected graph G of diameter 3, the graph G3 has average degree 7
4(G). We also provide an example showing that this bound is best possible. This resolves a question of H...
Finsler connection preserving angle in dimensions $N\ge3$
Finsler connection preserving dimensions $N\ge3$
2010/12/1
We show that if a Finsler space is conformally automorphic to a Riemannian space and the automorphism is positively homogeneous with respect to tangent vectors, then the indicatrix of the Finsler spac...
Inner product space with no ortho-normal basis without choice
Inner product space no ortho-normal basis without choice
2010/12/1
We prove in ZF that there is an inner product space, in fact, nicely definable with no orthonormal basis.
提出了边界元法(BEM)的一种新的实现方法——边界面法(BFM)。在传统的边界元法中,单元不仅用来进行边界积分和函数插值,而且用来近似几何体。当离散网格较稀疏时,会引起较大几何误差,因而影响计算精度。本文基于参数曲面,将几何实体的边界曲面离散为参数空间里的曲面单元,边界积分和场变量的插值都是在曲面参数空间里进行。积分点的几何数据,如坐标、雅可比、外法向量都是直接由曲面算得,而不是通过单元插值近似,...