In this paper, the autocorrelations of maximal period Feedback with Carry Shift Register sequences （l-sequences） are discussed. For an l-sequence a with connection integer q = p^e（e ≥ 2） and period T = p^t-1（p- ...In this paper, the autocorrelations of maximal period Feedback with Carry Shift Register sequences （l-sequences） are discussed. For an l-sequence a with connection integer q = p^e（e ≥ 2） and period T = p^t-1（p- 1）, and for any integer i, 1 ≤ i ≤ e/2, by calculating the number of certain sets, it is shown that the autocorrelation of a with shift τ= kT/2p^i is Ca（τ） =（-1）^k-1 T/p^2i-1, where 1 ≤ k ≤ 2p^i - 1, and gcd（k,2p^i） = 1. This result shows there do exist some shifts such that the autocorrelations of l-sequences are high although most autocorrelations are low. Such result also holds for the decimations of l-sequences.展开更多
A new method of constructing bornological vector topologies for vector spaces is discussed.In general,the convergent sequence and bounded set are concepts only in topological spaces.However,in this paper,it is first i...A new method of constructing bornological vector topologies for vector spaces is discussed.In general,the convergent sequence and bounded set are concepts only in topological spaces.However,in this paper,it is first introduced sequential convergence C and L * space which is a vector space giving some relation:x mCx between sequences and points in it,then the bounded set is defined in vector space.Let C be a sequential convergence,T(C) be a vector topology on X determined by C and B(C) be the collection of bounded sets determined by C.Then B(C)=B(T(C)).Furthermore,the bornological locally convex topological vector space is constructed by L * vector space.展开更多
Objective： Based on a partialsubtilisin-like protease, Prl genomic sequence ofPythium guiyangense which has been cloned before, Panhandle PCR strategy was used to amplify the upstream flanking sequence adjacent to th...Objective： Based on a partialsubtilisin-like protease, Prl genomic sequence ofPythium guiyangense which has been cloned before, Panhandle PCR strategy was used to amplify the upstream flanking sequence adjacent to the known sequence of the Prl gene. Methods： The genomic DNA was firstly digested with BamH I and then treated with calf intestinal alkaline phosphatase（CIAP）. Next, a 5＇ phosphorylated oligonucleotide was ligated to the 5＇ ends of BamH I -digested DNA. After denaturation, intmstrand annealing and polymemse extension, a pan with a handle was formed,and lastly the nested PCR was performed. Results： A 864 bp product was amplified,which was adjacent to the known sequence of Prl gene.The gene has been accessed by GenBank （Accession：JQ975036）. Conclusion： Panhandle PCR is a quick and convenient approach for amplifying and identifying unknown partner genes,which facilitates cloning full-length Prl gene展开更多
基金the 863 Project of China (No.2006AA01Z417) the National Natural Science Foundation of China (No.60673081).
文摘In this paper, the autocorrelations of maximal period Feedback with Carry Shift Register sequences （l-sequences） are discussed. For an l-sequence a with connection integer q = p^e（e ≥ 2） and period T = p^t-1（p- 1）, and for any integer i, 1 ≤ i ≤ e/2, by calculating the number of certain sets, it is shown that the autocorrelation of a with shift τ= kT/2p^i is Ca（τ） =（-1）^k-1 T/p^2i-1, where 1 ≤ k ≤ 2p^i - 1, and gcd（k,2p^i） = 1. This result shows there do exist some shifts such that the autocorrelations of l-sequences are high although most autocorrelations are low. Such result also holds for the decimations of l-sequences.
文摘A new method of constructing bornological vector topologies for vector spaces is discussed.In general,the convergent sequence and bounded set are concepts only in topological spaces.However,in this paper,it is first introduced sequential convergence C and L * space which is a vector space giving some relation:x mCx between sequences and points in it,then the bounded set is defined in vector space.Let C be a sequential convergence,T(C) be a vector topology on X determined by C and B(C) be the collection of bounded sets determined by C.Then B(C)=B(T(C)).Furthermore,the bornological locally convex topological vector space is constructed by L * vector space.
基金Supported by the Guangxi Department of education scientific research funds,China(No.200103YB154)
文摘Objective： Based on a partialsubtilisin-like protease, Prl genomic sequence ofPythium guiyangense which has been cloned before, Panhandle PCR strategy was used to amplify the upstream flanking sequence adjacent to the known sequence of the Prl gene. Methods： The genomic DNA was firstly digested with BamH I and then treated with calf intestinal alkaline phosphatase（CIAP）. Next, a 5＇ phosphorylated oligonucleotide was ligated to the 5＇ ends of BamH I -digested DNA. After denaturation, intmstrand annealing and polymemse extension, a pan with a handle was formed,and lastly the nested PCR was performed. Results： A 864 bp product was amplified,which was adjacent to the known sequence of Prl gene.The gene has been accessed by GenBank （Accession：JQ975036）. Conclusion： Panhandle PCR is a quick and convenient approach for amplifying and identifying unknown partner genes,which facilitates cloning full-length Prl gene
