Sagittaria trifolia L.is a perennial aquatic herb that primarily reproduces clonally and through generative propagation.In recent years,S.trifolia has evolved a drastic resistance to acetohydroxy acid synthase(AHAS)-i...Sagittaria trifolia L.is a perennial aquatic herb that primarily reproduces clonally and through generative propagation.In recent years,S.trifolia has evolved a drastic resistance to acetohydroxy acid synthase(AHAS)-inhibiting herbicides in Northeast China.The phylogeographic patterns of S.trifolia with 31 purified resistance genotypes and five sensitive genotypes using chloroplast DNA(cpDNA)atpB-rbcL intergenic spacers were studied.Five haplotypes were characterized,and two of them were widely distributed in 36 genotypes.The dose response to bensulfuron-methyl showed that the GR50 ranged from 2.07 g a.i.·hm^(-2) to 220.15 g a.i.·hm^(-2).Sequencing of the AHAS gene indicated that 17 genotypes with the Pro197 mutation were distributed in haplotype 1,six genotypes with the Trp574 mutation were distributed in haplotype 3,and 13 genotypes with the wild AHAS gene were distributed in haplotypes 2,4 and 5.In the minimum-spanning network,the ancestral haplotypes 1 and 2 were widely distributed.Two primary clades were separated in the Bayes tree,and the result was consistent with the maximum likelihood tree.展开更多
Under the foundation of Hermitean Clifford setting, we define the fundamental operators for complex Clifford algebra valued fimctions, obtain some properties of these operators, and discuss a representation of sl（2;...Under the foundation of Hermitean Clifford setting, we define the fundamental operators for complex Clifford algebra valued fimctions, obtain some properties of these operators, and discuss a representation of sl（2; C ） on Clifford algebra of even dimension.展开更多
In this article, a polyharmonic Neumann function in a sector with angle π n （n N） is studied by convolution. Especially, the outward normal derivatives at three corner points are defined properly. We give the recur...In this article, a polyharmonic Neumann function in a sector with angle π n （n N） is studied by convolution. Especially, the outward normal derivatives at three corner points are defined properly. We give the recursive expressions for the polyharmonic Neumann function, obtaining the solution and the condition of solvability for the related polyharmonic Neumann problem.展开更多
基金Supported by the"Young Talents"Project of Northeast Agricultural University(22QC04)the Domestic Post Training Excellent Program of Northeast Agricultural University(23ZYZZ0706)。
文摘Sagittaria trifolia L.is a perennial aquatic herb that primarily reproduces clonally and through generative propagation.In recent years,S.trifolia has evolved a drastic resistance to acetohydroxy acid synthase(AHAS)-inhibiting herbicides in Northeast China.The phylogeographic patterns of S.trifolia with 31 purified resistance genotypes and five sensitive genotypes using chloroplast DNA(cpDNA)atpB-rbcL intergenic spacers were studied.Five haplotypes were characterized,and two of them were widely distributed in 36 genotypes.The dose response to bensulfuron-methyl showed that the GR50 ranged from 2.07 g a.i.·hm^(-2) to 220.15 g a.i.·hm^(-2).Sequencing of the AHAS gene indicated that 17 genotypes with the Pro197 mutation were distributed in haplotype 1,six genotypes with the Trp574 mutation were distributed in haplotype 3,and 13 genotypes with the wild AHAS gene were distributed in haplotypes 2,4 and 5.In the minimum-spanning network,the ancestral haplotypes 1 and 2 were widely distributed.Two primary clades were separated in the Bayes tree,and the result was consistent with the maximum likelihood tree.
基金Supported by the National Natural Science Foundation of China(10871150, 11001273)the Freedom Explore Program of Central South University
文摘Under the foundation of Hermitean Clifford setting, we define the fundamental operators for complex Clifford algebra valued fimctions, obtain some properties of these operators, and discuss a representation of sl（2; C ） on Clifford algebra of even dimension.
基金Supported by the National Natural Science Foundation of China(11171260)the Scientific Research Foundation for the Returned Overseas Chinese Scholars,State Education Ministrythe Research Fund for Revitalization Project of Zhongnan University of Economics and Law
文摘In this article, a polyharmonic Neumann function in a sector with angle π n （n N） is studied by convolution. Especially, the outward normal derivatives at three corner points are defined properly. We give the recursive expressions for the polyharmonic Neumann function, obtaining the solution and the condition of solvability for the related polyharmonic Neumann problem.
