By the similarity between the syllogism in logic and a path proposition in graph theory,a new concept,fuzzy reasoning graph G has been given in this paper. Transitive closure has been studied and used to do reasoning ...By the similarity between the syllogism in logic and a path proposition in graph theory,a new concept,fuzzy reasoning graph G has been given in this paper. Transitive closure has been studied and used to do reasoning related to self-loop in G,and an algorithm has been designed to cope with reasoning in other cycles in G. Both approaches are applicable and efficient.展开更多
Let G be a group of order pn, p a prime. For 0 m n, sm(G) denotes the number of subgroups of order pm of G. Loo-Keng Hua and Hsio-Fu Tuan had ever conjectured: for an arbitrary finite p-group G, if p > 2, then sm(...Let G be a group of order pn, p a prime. For 0 m n, sm(G) denotes the number of subgroups of order pm of G. Loo-Keng Hua and Hsio-Fu Tuan had ever conjectured: for an arbitrary finite p-group G, if p > 2, then sm(G) ≡ 1, 1+p, 1+p+p2 or 1+p+2p2(mod p3). The conjecture has a negative answer. In this paper, we further investigate the conjecture and propose two new conjectures.展开更多
Next-generation sequencing(NGS) technologies have revolutionized the field of genomics and provided unprecedented opportunities for high-throughput analysis at the levels of genomics,transcriptomics and epigenetics.Ho...Next-generation sequencing(NGS) technologies have revolutionized the field of genomics and provided unprecedented opportunities for high-throughput analysis at the levels of genomics,transcriptomics and epigenetics.However,the cost of NGS is still prohibitive for many laboratories.It is imperative to address the trade-off between the sequencing depth and cost.In this review,we will discuss the effects of sequencing depth on the detection of genes,quantification of gene expression and discovering of gene structural variants.This will provide readers information on choosing appropriate sequencing depth that best meet the needs of their particular project.展开更多
文摘By the similarity between the syllogism in logic and a path proposition in graph theory,a new concept,fuzzy reasoning graph G has been given in this paper. Transitive closure has been studied and used to do reasoning related to self-loop in G,and an algorithm has been designed to cope with reasoning in other cycles in G. Both approaches are applicable and efficient.
基金supported by National Natural Science Foundation of China (Grant No.11071150)Natural Science Foundation of Shanxi Province (Grant No. 2008012001)The Returned Abroad-student Foundation of Shanxi Province (Grant No. [2007]13-56)
文摘Let G be a group of order pn, p a prime. For 0 m n, sm(G) denotes the number of subgroups of order pm of G. Loo-Keng Hua and Hsio-Fu Tuan had ever conjectured: for an arbitrary finite p-group G, if p > 2, then sm(G) ≡ 1, 1+p, 1+p+p2 or 1+p+2p2(mod p3). The conjecture has a negative answer. In this paper, we further investigate the conjecture and propose two new conjectures.
文摘Next-generation sequencing(NGS) technologies have revolutionized the field of genomics and provided unprecedented opportunities for high-throughput analysis at the levels of genomics,transcriptomics and epigenetics.However,the cost of NGS is still prohibitive for many laboratories.It is imperative to address the trade-off between the sequencing depth and cost.In this review,we will discuss the effects of sequencing depth on the detection of genes,quantification of gene expression and discovering of gene structural variants.This will provide readers information on choosing appropriate sequencing depth that best meet the needs of their particular project.
