Let M({nk}k≥1,{ck}k≥1) be the collection of homogeneous Moran sets determined by {nk}k≥1and {ck}k≥1, where {nk}k≥1 is a sequence of positive integers and {ck}k≥1 a sequence of positive numbers. Then the maximal ...Let M({nk}k≥1,{ck}k≥1) be the collection of homogeneous Moran sets determined by {nk}k≥1and {ck}k≥1, where {nk}k≥1 is a sequence of positive integers and {ck}k≥1 a sequence of positive numbers. Then the maximal and minimal values of Hausdorff dimensions for elements in M are determined. The result is proved that for any value s between the maximal and minimal values, there exists an element in M{nk}k≥1, {ck}k≥1) such that its Hausdorff dimension is equal to s. The same results hold for packing dimension. In the meantime, some other properties of homogeneous Moran sets are discussed.展开更多
The three-dimensional structure of Periplaneta fuliginosa densovirus (pfDNV) is determined at 2.3 nm reso-lution using the techniques of cryo-electron microscopy and image reconstruction. The pfDNV contains five struc...The three-dimensional structure of Periplaneta fuliginosa densovirus (pfDNV) is determined at 2.3 nm reso-lution using the techniques of cryo-electron microscopy and image reconstruction. The pfDNV contains five structural proteins and 60 protein subunits arranged on a T = 1 icosa-hedral shell with a relatively smooth surface. Its recon-struction reveals its distinct capsid structure from those ob-served in CPV and GmDNV. As in GmDNV, spike-like protrusions are not present in pfDNV at the threefold axes; while two small thorn-like protrusions are identified there. However, different from CPV and GmDNV, cylindrical channels along the fivefold axes are closed in pfDNV; while a small thorn-like protrusions, which have not been reported in other parvovirus, are observed there in pfDNV although their function is yet to be investigated. The pfDNV has dim-ple-like depressions at the icosahedral twofold axes; but has no canyon-like regions encircling the fivefold axes. The ico-sahedrally well-ordered nucleic acid has also been observed in pfDNV, suggesting that the protein and nucleic acid probably form closed interaction.展开更多
基金Project supported by the National Climbing Project"Nonlinear Science"and the Scientific Foundation of the State Education Commission of China.
文摘Let M({nk}k≥1,{ck}k≥1) be the collection of homogeneous Moran sets determined by {nk}k≥1and {ck}k≥1, where {nk}k≥1 is a sequence of positive integers and {ck}k≥1 a sequence of positive numbers. Then the maximal and minimal values of Hausdorff dimensions for elements in M are determined. The result is proved that for any value s between the maximal and minimal values, there exists an element in M{nk}k≥1, {ck}k≥1) such that its Hausdorff dimension is equal to s. The same results hold for packing dimension. In the meantime, some other properties of homogeneous Moran sets are discussed.
基金supporled by the National Natural Science Foundation of China(Grant No.39470032)
文摘The three-dimensional structure of Periplaneta fuliginosa densovirus (pfDNV) is determined at 2.3 nm reso-lution using the techniques of cryo-electron microscopy and image reconstruction. The pfDNV contains five structural proteins and 60 protein subunits arranged on a T = 1 icosa-hedral shell with a relatively smooth surface. Its recon-struction reveals its distinct capsid structure from those ob-served in CPV and GmDNV. As in GmDNV, spike-like protrusions are not present in pfDNV at the threefold axes; while two small thorn-like protrusions are identified there. However, different from CPV and GmDNV, cylindrical channels along the fivefold axes are closed in pfDNV; while a small thorn-like protrusions, which have not been reported in other parvovirus, are observed there in pfDNV although their function is yet to be investigated. The pfDNV has dim-ple-like depressions at the icosahedral twofold axes; but has no canyon-like regions encircling the fivefold axes. The ico-sahedrally well-ordered nucleic acid has also been observed in pfDNV, suggesting that the protein and nucleic acid probably form closed interaction.
