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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars:Vanishing of some algebraic cycles on powers of Shimura curves
志村曲线 幂 代数 循环消失
2023/4/27
A little fluorine turns an insulating ceramic known as white graphene into a wide-bandgap semiconductor with magnetic properties. Rice University scientists said that could make the unique material su...
What is 10 miles across,but powers an explosion brighter than the Milky Way?(图)
10 miles across explosion brighter the Milky Way
2016/1/22
Right now, astronomers are viewing a ball of hot gas billions of light years away that is radiating the energy of hundreds of billions of suns. At its heart is an object a little larger than 10 miles ...
What is 10 miles across,but powers an explosion brighter than the Milky Way?
10 miles across explosion brighter the Milky Way
2016/2/22
Right now, astronomers are viewing a ball of hot gas billions of light years away that is radiating the energy of hundreds of billions of suns. At its heart is an object a little larger than 10 miles ...
2015年12月21日,美国内布拉斯加(Nebraska)大学林肯(Lincoln)分校化学系的Robert Powers教授应刘青松研究员的邀请访问中国科学院强磁场科学中心。上午,Robert Powers教授参观了中国科学院强磁场科学中心的实验装置以及部分实验室,并与生命科学部的科研人员重点就核磁共振技术的开发和应用进行了深入的交流和探讨,为未来的合作奠定了基础。下午,Robert Power...
Convolution powers of complex functions on Z。
Congruences of Multipartition Functions Modulo Powers of Primes
modular form partition multipartition Ramanujan-type congruence
2014/6/3
Let pr(n) denote the number of r-component multipartitions of n, and let Sγ λ be the space spanned by η(24z)γφ(24z), where η(z) is the Dedekind’s eta function and η(z) is a holomorphic modular form i...
A Duality Between Non-Archimedean Uniform Spaces and Subdirect Powers of Full Clones
Uniform Space Duality Hyperspace Variety
2012/7/11
A uniform space is said to be non-Archimedean if it is generated by equivalence relations. If $\lambda$ is a cardinal, then a non-Archimedean uniform space $(X,\mathcal{U})$ is $\lambda$-totally bound...
This note deals with the relationship between the total number of $k$-walks in a graph, and the sum of the $k$-th powers of its vertex degrees. In particular, it is shown that the the number of all $k...
L^2-norms of exponential sums over prime powers
Primes in short intervals Diophantine problems with primes Number Theory
2012/6/14
We study a suitable mean-square average of primes in short intervals, generalizing Saffari-Vaughan's result. We then apply it to a ternary Diophantine problem with prime variables.
Alternate powers in Serrin's swirling vortex solutions
Serrin’s swirling vortex Navier–Stokes equations Euler equations Cai’s power law tornado modeling vortex breakdown
2012/4/23
We consider a modification of the fluid flow model for a swirling vortex developed by J. Serrin, where velocity decreases as the reciprocal of the distance from the vortex axis. Recent studies, based ...
For a graph G, its rth power G^r has the same vertex set as G, and has an edge between any two vertices within distance r of each other in G. We give a lower bound for the number of edges in the rth p...
Symbolic powers versus regular powers of ideals of general points in P^1 x P^1
symbolic powers multigraded points
2011/9/20
Abstract: Let I be a homogeneous ideal of R = k[x_0,...,x_n]. A current research theme is to compare the symbolic powers of I with the regular powers of I. In this paper, we investigate which ordinary...
Simple Spectrum for Tensor Products of Mixing Map Powers
Tensor Products Mixing Map Powers Dynamical Systems
2011/9/20
Abstract: We prove the existence of a mixing rank one map $T$ such that the product $T\otimes T^2\otimes T^3\otimes...$ has simple spectrum. This result is used in S.V. Thikhonov's proof of the existe...
Representation of powers by polynomials over function fields and a problem of Logic
problem of Logic polynomials over function fields Number Theory
2011/9/15
Abstract: We solve a generalization of B\"uchi's problem in any exponent for function fields, and briefly discuss some consequences on undecidability. This provides the first example where this proble...