共查询到20条相似文献,搜索用时 15 毫秒
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讨论格自仿Tile的边界结构,得到平面格自仿Tile的边界为简单闭曲线的一个充分条件;作为应用,给出Bandt-Wang的一个定理的新证明. 相似文献
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We give a new proof of Bartholdi's theorem for the Bartholdi zeta function of a graph.
Supported by Grant-in-Aid for Science Research (C) 相似文献
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FU Xiao-yong 《数学季刊》2007,22(4):550-551
We give a new proof of Calabi-Yau's theorem on the volume growth of Riemannian manifolds with non-negative Ricci curvature. 相似文献
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一个由n个非负整数有序对构造的序列是有向可图的,如果它是某个有向图的度序列.一个有向可图序列是蕴含强连通的,如果它是某个强连通有向图的度序列.Beineke和Harary给出了一个有向可图序列为蕴含强连通的判准.Beineke-Harary判准的充分性证明是“相当长”的(见[1]).本文的目的是给出Beineke-Harary判准的充分性的一个简短证明. 相似文献
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Karin Cvetko-Vah 《Semigroup Forum》2006,73(2):267-272
Skew lattices form a class of non-commutative lattices. Spinks' Theorem [Matthew Spinks, On middle distributivity for skew
lattices, ] states that for symmetric skew lattices the two distributive identities
and
are equivalent. Up to now only computer proofs of this theorem have been known. In the present paper the author presents
a direct proof of Spinks' Theorem. In addition, a new result is proved showing that the assumption of symmetry can be omitted
for cancellative skew lattices. 相似文献
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FU Xiao-yong 《数学季刊》2007,(4)
We give a new proof of Calabi-Yau's theorem on the volume growth of Rie- mannian manifolds with non-negative Ricci curvature. 相似文献
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We present a new proof of the well-known Ko Chao theorem. 相似文献
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ANewProoffortheInterpolatingTheoremSunShunhua(孙顺华)andYuDahai(余大海)(DepartmentofMathematics,SichuanUniversity,Chengdu,610064)Ab... 相似文献
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利用微分方程给出了反正切相加定理的一种新证法,该方法可直接确定反正切相加定理中函数ε(x,y)的连续域以及函数在域内的取值. 相似文献
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给出Leray-Schauder不动点定理的一个新证明.我们首先给出集值映射的焊接引理,利用集值映射的焊接引理和Kakutani不动点定理证明Leray-Schauder不动点定理,并证明Leray-Schauder不动点定理与Brouwer不动点定理等价. 相似文献
14.
Paul E. Howard 《Mathematical Logic Quarterly》1972,18(7):111-112
15.
The Aztec diamond of order n is the union of lattice squares in the plane intersecting the square \(|x|+|y|<n\). The Aztec diamond theorem states that the number of domino tilings of this shape is \(2^{n(n+1)/2}\). It was first proved by Elkies et al. (J. Algebraic Comb. 1(2):111–132, 1992). We give a new simple proof of this theorem. 相似文献
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Chris Bernhardt 《Journal of Difference Equations and Applications》2013,19(3-4):373-379
This paper presents a variation on the standard directed graph proof. This variation makes use of the natural representation of the symmetric group given by one-dimensional maps. 相似文献
17.
Kevin Whyte showed that all Baumslag–Solitar groups BS(p,q) with 1 < p < q are quasi-isometric [Whyte, K., Geom. Funct. Anal. 11 (2001), 1327–1343]. We provide an elementary geometric proof. 相似文献
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It is shown using simple methods that the transform Z(z), z C, of the coefficient sequence of the Wold decomposition ofany full-rank wide-sense stationary purely non-deterministicstochastic process satisfies (i) Z(z) H2 (D) and (ii) Z1(z) H(D). Further it is shown that all spectral factors satisfying(i) and (ii) are equal up to right multiplication by orthogonalmatrices, and that among these the normalized (Z(0) =I) spectralfactors are equal to the transform of the Wold decomposition.An elementary proof of Youla's Theorem is then given togetherwith a simple proof that the rows of a Cholesky factor of abanded block Toeplitz matrix converge to the coefficients ofa stable matrix polynomial.
Computer and Automation Institute of the Hungarian Academyof Sciences, Budapes, Hungary. 相似文献