[Objective]The aim was to investigate inheritance of the mutagenic properties caused by ion implantation from F1 to F2 generation in chili pepper.[Method]Chili pepper seeds were implanted with different ion combinatio...[Objective]The aim was to investigate inheritance of the mutagenic properties caused by ion implantation from F1 to F2 generation in chili pepper.[Method]Chili pepper seeds were implanted with different ion combinations at different doses,and the F1 generation seeds of five groups in which biological mutation occurred were selected to sow in the field.Then the main phenotype changes in F2 generation were observed,the biochemical changes caused by ion implantation were analyzed by determination of peroxidase isozyme.[Result]Seed implanted with 9×1011 P2＋/cm2 and 1×1012 Cu2＋/cm2（No.21）on its both sides could maintain the superiority in yield per plant to F2 generation,while the mutagenic effects of F1 generation in other groups were not inherited by the F2 generation.[Conclusion]The prominent biological characters induced in the seeds of group No.21 were relatively inherited,so the seeds were worth further breeding.展开更多
Through the research into the characteristics of 7-DoF high dimensional nonlinear dynamics of a vehicle on bumpy road, the periodic movement and chaotic behavior of the vehicle were found.The methods of nonlinear freq...Through the research into the characteristics of 7-DoF high dimensional nonlinear dynamics of a vehicle on bumpy road, the periodic movement and chaotic behavior of the vehicle were found.The methods of nonlinear frequency response analysis, global bifurcation, frequency chart and Poincaré maps were used simultaneously to derive strange super chaotic attractor.According to Lyapunov exponents calculated by Gram-Schmidt method, the unstable region was compartmentalized and the super chaotic characteristic of ...展开更多
The explicit expressions for indecomposable representations of nine square-root Lie algebras of vector type, , are obtained on the space of universal enveloping algebra of two-state Heisenberg–Weyl algebra, the invar...The explicit expressions for indecomposable representations of nine square-root Lie algebras of vector type, , are obtained on the space of universal enveloping algebra of two-state Heisenberg–Weyl algebra, the invariant subspaces and the quotient spaces. From Fock representations corresponding to these indecomposable representations, the inhomogeneous boson realizations of are given. The expectation values of in the angular momentum coherent states are calculated as well as the corresponding classical limits.展开更多
Let N and M be nests on Banach spaces X and Y over the real or complex field F, respectively, with the property that if M ∈ M such that M_ =M, then M is complemented in Y. Let AlgN and AlgM be the associated nest alg...Let N and M be nests on Banach spaces X and Y over the real or complex field F, respectively, with the property that if M ∈ M such that M_ =M, then M is complemented in Y. Let AlgN and AlgM be the associated nest algebras. Assume that Ф ： AlgN → AlgM is a bijective map. It is proved that, if dim X = ∞ and if there is a nontrivial element in N which is complemented in X, then Ф is Lie multiplicative （i.e. Ф（[A, B]） = [Ф（A）, Ф（B）] for all A, B ∈ AlgN） if and only if Ф has the form Ф（A） = TAT^-1 ＋ τ（A） for all A ∈ AlgAN or Ф（A） = -TA^＊T^-1 ＋ τ（A） for all A ∈ AlgN, where T is an invertible linear or conjugate linear operator and τ ： AlgN →FI is a map with τ（[A, B]） = 0 for all A, B ∈ AlgN. The Lie multiplicative maps are also characterized for the case dim X 〈 ∞.展开更多
Recently,there are two independent approaches related to a class of nonlinear Lie algebras of three generators;and the realizations of these generators are achieved respectively in Schwinger-boson and position represe...Recently,there are two independent approaches related to a class of nonlinear Lie algebras of three generators;and the realizations of these generators are achieved respectively in Schwinger-boson and position representation.However,by use of the representation transformation between these two representations,the equivalence of the two realizations is therefore proved.展开更多
基金Supported by"Study on Biological Effects of Mutagenesis of Seedsof Oil Crops,Purple Peanut and Sunflower(including Chili Pepper)Caused by Ion Implantation"supported by the Key Lab for Beam Technology and Material Modification of Ministry of Education(0912)~~
文摘[Objective]The aim was to investigate inheritance of the mutagenic properties caused by ion implantation from F1 to F2 generation in chili pepper.[Method]Chili pepper seeds were implanted with different ion combinations at different doses,and the F1 generation seeds of five groups in which biological mutation occurred were selected to sow in the field.Then the main phenotype changes in F2 generation were observed,the biochemical changes caused by ion implantation were analyzed by determination of peroxidase isozyme.[Result]Seed implanted with 9×1011 P2＋/cm2 and 1×1012 Cu2＋/cm2（No.21）on its both sides could maintain the superiority in yield per plant to F2 generation,while the mutagenic effects of F1 generation in other groups were not inherited by the F2 generation.[Conclusion]The prominent biological characters induced in the seeds of group No.21 were relatively inherited,so the seeds were worth further breeding.
文摘Through the research into the characteristics of 7-DoF high dimensional nonlinear dynamics of a vehicle on bumpy road, the periodic movement and chaotic behavior of the vehicle were found.The methods of nonlinear frequency response analysis, global bifurcation, frequency chart and Poincaré maps were used simultaneously to derive strange super chaotic attractor.According to Lyapunov exponents calculated by Gram-Schmidt method, the unstable region was compartmentalized and the super chaotic characteristic of ...
文摘The explicit expressions for indecomposable representations of nine square-root Lie algebras of vector type, , are obtained on the space of universal enveloping algebra of two-state Heisenberg–Weyl algebra, the invariant subspaces and the quotient spaces. From Fock representations corresponding to these indecomposable representations, the inhomogeneous boson realizations of are given. The expectation values of in the angular momentum coherent states are calculated as well as the corresponding classical limits.
基金supported by National Natural Science Foundation of China (Grant No. 10871111)Tian Yuan Foundation of China (Grant No. 11026161)Foundation of Shanxi University
文摘Let N and M be nests on Banach spaces X and Y over the real or complex field F, respectively, with the property that if M ∈ M such that M_ =M, then M is complemented in Y. Let AlgN and AlgM be the associated nest algebras. Assume that Ф ： AlgN → AlgM is a bijective map. It is proved that, if dim X = ∞ and if there is a nontrivial element in N which is complemented in X, then Ф is Lie multiplicative （i.e. Ф（[A, B]） = [Ф（A）, Ф（B）] for all A, B ∈ AlgN） if and only if Ф has the form Ф（A） = TAT^-1 ＋ τ（A） for all A ∈ AlgAN or Ф（A） = -TA^＊T^-1 ＋ τ（A） for all A ∈ AlgN, where T is an invertible linear or conjugate linear operator and τ ： AlgN →FI is a map with τ（[A, B]） = 0 for all A, B ∈ AlgN. The Lie multiplicative maps are also characterized for the case dim X 〈 ∞.
基金Supported by National Natural Science Foundation of China under Grant No. 11175063
文摘Recently,there are two independent approaches related to a class of nonlinear Lie algebras of three generators;and the realizations of these generators are achieved respectively in Schwinger-boson and position representation.However,by use of the representation transformation between these two representations,the equivalence of the two realizations is therefore proved.
