The nonexistence of projective planes of order 12 with a collineation group of order 8

In this article, we prove that there does not exist a symmetric transversal design which admits an automorphism group of order 4 acting semiregularly on the point set and the block set. We use an orbit theorem for symmetric transversal designs to prove our result. As a corollary of the result, we prove that there is no projective plane of order 12 admitting a collineation group of order 8. © 2007 Wiley Periodicals, Inc. J Combin Designs 16: 411–430, 2008     

Stability of a Laser-diode-pumped Cr~(4 )∶YAG Passively Q-switched Nd~(3 )∶YAG Laser

1　Ｉｎｔｒｏｄｕｃｔｉｏｎ　　Ｌａｓｅｒｄｉｏｄｅ(ＬＤ)ｐｕｍｐｅｄｐａｓｓｉｖｅｌｙＱｓｗｉｔｃｈｅｄｍｉｎｉａｔｕｒｅｌａｓｅｒｓｃａｎｇｅｎｅｒａｔｅｈｉｇｈｐｏｗｅｒａｎｄｈｉｇｈｒｅｐｅｔｉｔｉｏｎｒａｔｅｐｕｌｓｅｓｉｎｔｈｅｎａｎｏｓｅｃｏｎｄａｎｄｓｕｂｎａｎｏｓｅｃｏｎｄｒｅｇｉｍｅｓ,ａｎｄｈａｖｅｗｉｄｅａｐｐｌｉｃａｔｉｏｎｓｉｎｍｉｃｒｏｍａｃｈｉｎｉｎｇ,ｒａｎｇｉｎｇ,ｒｅｍｏｔｅｓｅｎｓｉｎｇ,ｍｉｃｒｏｓｕｒｇｅｒｙａｎｄｓｏｏｎ.Ｏｗｉｎｇｔｏｌａｓｅｒｄｉｏｄｅ…     

Completed and incompleted stochastic webs

In this paper,the completed stochastic web and incompleted stochastic web producedby the perturbed saddle separatrix net are given.The structural properties of two kinds ofweb are discussed by means of the dynamical system theory.     

极大前缀码的部分幂

设X*是字母表X上的自由幺半群,以X*为顶点集构造一个语言图Γ(X*),引入语言图Γ(X*)的模截集的概念,给出了极大前缀码的一些性质,给出了极大前缀码的部分幂的一些性质,并推广了相关文献的结果。     

On the energetics of transversal and longitudinal fluctuations of atomic magnetic moments

By constrained spin-density functional calculations we estimate the relative role of the longitudinal and transversal fluctuations of the magnetic moments in the series of 3d metals (bcc Fe, hcp and fcc Co, and fcc Ni) for weak excitations from the ferromagnetic ground state. It is shown that the importance of longitudinal fluctuations strongly varies from relatively small in bcc Fe to large in fcc Ni. This means that a consistent adiabatic treatment of the low-energy spin fluctuations should include independent longitudinal fluctuations.     

有横贯的Hall-型判定定理

给出了任意集上的一个集族有横贯的一些Hall-型判定定理,回答了Welsh关于相应的无限情形的公开问题,即对于无限情况,找到一个集族有横贯的充要条件.     

Biembedding Abelian groups with mates having transversals

A certain recursive construction for biembeddings of Latin squares has played a substantial role in generating large numbers of nonisomorphic triangular embeddings of complete graphs. In this article, we prove that, except for the groups and C ₄ , each Latin square formed from the Cayley table of an Abelian group appears in a biembedding in which the second Latin square has a transversal. Such biembeddings may then be freely used as ingredients in the recursive construction. Copyright © 2011 Wiley Periodicals, Inc. J Combin Designs 20:81‐88, 2012     

Latin Squares with Restricted Transversals

The original article to which this erratum refers was correctly published online on 1 December 2011. Due to an error at the publisher, it was then published in Journal of Combinatorial Designs 20: 124–141, 2012 without the required shading in several examples. To correct this, the article is here reprinted in full. The publisher regrets this error. We prove that for all odd there exists a latin square of order 3m that contains an latin subrectangle consisting of entries not in any transversal. We prove that for all even there exists a latin square of order n in which there is at least one transversal, but all transversals coincide on a single entry. A corollary is a new proof of the existence of a latin square without an orthogonal mate, for all odd orders . Finally, we report on an extensive computational study of transversal‐free entries and sets of disjoint transversals in the latin squares of order . In particular, we count the number of species of each order that possess an orthogonal mate. © 2012 Wiley Periodicals, Inc. J. Combin. Designs 20: 344–361, 2012     

Lauwerier吸引子结构和SBR测度

Abstract. In this paper,the Lauwerier map