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Constructing de Bruijn sequences with co-lexicographic order: The k -ary Grandmama sequence
Dragon, Patrick Baxter,Hernandez, Oscar I.,Sawada, Joe,Williams, Aaron,Wong, Dennis Elsevier 2018 European journal of combinatorics : Journal europ& Vol.72 No.-
<P><B>Abstract</B></P> <P>A k -ary de Bruijn sequence of order n is a circular k -ary string of length <SUP> k n </SUP> which contains every k -ary string of length n exactly once as a substring. It is well-known that a k -ary de Bruijn sequence of order n can be constructed by concatenating the aperiodic prefixes of the k -ary necklaces of length n in lexicographic order. In this article we prove that an alternate de Bruijn sequence is created by replacing lexicographic order with co-lexicographic order. We also provide a simple successor rule for generating each successive symbol in O ( n ) -time.</P>
Lee, Beom Hee,Kwak, Soo Heon,Shin, Jae Il,Lee, So Hee,Choi, Hyun Jin,Kang, Hee Gyung,Ha, Il Soo,Lee, Jae Seung,Dragon-Durey, Marie-Agnè,s,Choi, Yong,Cheong, Hae Il Springer Science and Business Media LLC 2009 Pediatric research Vol.66 No.3
<P>Although genetic defect of complement factor H (CFH) is a common cause of atypical hemolytic uremic syndrome (aHUS), development of autoantibodies to CFH (CFH-Ab) is also known to be an acquired cause of aHUS. Recently, a correlation between the development of CFH-Ab and the deficiency of the CFH-related proteins, CFHR1 and CFHR3, was identified. In this study, plasma complement profiles were measured and genetic analysis of the CFH, CFI, MCP, CFHR1, and CFHR3 genes were performed in three female patients diagnosed with aHUS with positive CFH-Ab. Acute stage plasmas of all the three patients revealed low C3, low or low-normal CFH antigenic levels, and high titers of CFH-Ab. All the patients also showed complete plasma CFHR1 deficiency and homozygous genomic deletion of CFHR1/CFHR3, but none had CFH, CFI, or MCP mutations. All the patients were treated with plasmapheresis, and two patients required additional immunosuppressive therapy. These patients had a novel subgroup of aHUS characterized by a combination of genetic (a homozygous deletion of CFHR1/CFHR3) and acquired (development of CFH-Ab) factors. Patients with this disease may need intensive immunosuppressive therapy in addition to plasmapheresis. Screening for CFH-Ab and the CFHR1/CFHR3 deficiency should be included in the diagnostic tests for patients with aHUS.</P>
Competitive Structure of U.S. Grain Exporters in the World Market: A Dynamic Panel Approach
진현정,드래건 밀리코비치 대외경제정책연구원 2008 East Asian Economic Review Vol.12 No.1
The objective of this study is to analyze the competitive structure of U.S. wheat, corn, and soybeans exporters in the world market. A dynamic two-way panel estimator is utilized in the analysis in place of typically used two-way fixed effects panel estimator. A broader (in terms of the number of destination markets) and more recent data sample is analyzed in this study in comparison to previous studies in order to reflect vast changes that occurred in world grain markets during the last twenty years. Results indicate the presence of pricing-to-markets behavior by U.S. grain exporters overall, and toward some importing countries in particular.