Local expansion of Painlevé VI transcendents around a fixed singularity

2009 ◽  
Vol 50 (1) ◽  
pp. 013531 ◽  
Author(s):  
Kazuo Kaneko
2009 ◽  
Vol 509 ◽  
pp. A39 ◽  
Author(s):  
A. M. Gulisano ◽  
P. Démoulin ◽  
S. Dasso ◽  
M. E. Ruiz ◽  
E. Marsch

2001 ◽  
Vol 28 (3) ◽  
pp. 127-179 ◽  
Author(s):  
I. V. Boikov

In solving numerous problems in mathematics, mechanics, physics, and technology one is faced with necessity of calculating different singular integrals. In analytical form calculation of singular integrals is possible only in unusual cases. Therefore approximate methods of singular integrals calculation are an active developing direction of computing in mathematics. This review is devoted to the optimal with respect to accuracy algorithms of the calculation of singular integrals with fixed singularity, Cauchy and Hilbert kernels, polysingular and many-dimensional singular integrals. The isolated section is devoted to the optimal with respect to accuracy algorithms of the calculation of the hypersingular integrals.


mSphere ◽  
2020 ◽  
Vol 5 (4) ◽  
Author(s):  
Lang Yang ◽  
Bing Lü ◽  
Quanyi Wang ◽  
Kaiying Wang ◽  
Yanfeng Lin ◽  
...  

ABSTRACT Shigella flexneri is a major cause of bacillary dysentery in Beijing, China. The genetic features and population structure of locally circulating clones remained unclear. In this study, we sequenced the genomes of 93 S. flexneri isolates from patients in Beijing from 2005 to 2018. Phylogenetic analysis revealed a predominant lineage comprised of ST100 isolates that had acquired an extensive repertoire of antimicrobial resistance determinants. A rapid local expansion of the largest clade of this lineage began in 2008 and gradually resulted in the dominance of serotype 2a. Other clades showed substantial evidence of interregional spread from other areas of China. Another lineage consisting of ST18 isolates was also identified and appeared to have persisted locally for nearly 6 decades. These findings suggest that S. flexneri epidemics in Beijing were caused by both local expansion and interregional transmission. IMPORTANCE Beijing is the largest transportation hub in China, with a highly mobile population. Shigella flexneri is a major cause of bacillary dysentery in Beijing. However, little is known about the genetic features and population structure of locally circulating S. flexneri clones. Whole-genome sequencing of 93 S. flexneri isolates revealed that S. flexneri epidemics in Beijing were predominantly caused by an ST100 clone. Interregional spread, rapid local expansion, and acquirement of antimicrobial resistance determinants have cocontributed to the epidemics of this clone. Another ST18 clone was also identified and showed long-term colonization in Beijing. Our study provides comprehensive insights into the population structure and evolutionary history of S. flexneri in Beijing.


2020 ◽  
Vol 39 (6) ◽  
pp. 2025-2034 ◽  
Author(s):  
Wei Shao ◽  
Taylor J. Patton ◽  
Sarah E. Gerard ◽  
Yue Pan ◽  
Joseph M. Reinhardt ◽  
...  

Sign in / Sign up

Export Citation Format

Share Document