Let S\-n be the symmetric group, g\++\-i=(123i),g\+-\-i=(1i32) and M\++\-n={g\++\-i∶4≤i≤n}, then M\++\-n is a minimal generating set of S\-n ,where n ≥5.It is proved that Cayley graph Cay( S\-...Let S\-n be the symmetric group, g\++\-i=(123i),g\+-\-i=(1i32) and M\++\-n={g\++\-i∶4≤i≤n}, then M\++\-n is a minimal generating set of S\-n ,where n ≥5.It is proved that Cayley graph Cay( S\-n,M\++\-n∪M\+-\-n) is Hamiltonian and edge symmetric.展开更多
The DNA content of tumor all was analyzed by flow cytometry on parafflnembedded specimens in 73 patients with epithelial ovarian tumor, and its clinical significance was evaluated. One of the 5 benign (20%), 2 of the ...The DNA content of tumor all was analyzed by flow cytometry on parafflnembedded specimens in 73 patients with epithelial ovarian tumor, and its clinical significance was evaluated. One of the 5 benign (20%), 2 of the 11 borderline (18.18%), and 30 of the 57 malignant (52. 63%) tumors were aneuplold. The occurrence rate of aneuploidy In malignant tumors was higher than In benign and borderline tumors ( P < 0. 05 ). Furthermore, aneuploidy was more frequently In the advanced stages (Ⅲ -Ⅳ ) (77. 7%) than in the early stages (Ⅰ - Ⅱ ) (9. 5%) (P<0. 005). The occurrence rate of DNA aneuploidy was higher in patients associated with ascites and the residual tumor≥.2 cm. Patients with aneuploid tumors had more of ten ascites (P<0. 005) and residual tumor size≥2cm (P< 0.005). There was no apparent correlation between the DNA ptoidy and the histologic grade, histologic type of the tumors. G0/G1 cell proportion of DNA diplold tumors in advanced carcinoma (64. 6%) was less than those of early stage carcinoma (75. 9% ) (P<0. 05). The survival rate of diplold tumor patients was higher than that of aneuploid tumor patients in the different time after operation, and the median survival time was 30. 2 months and 10. 3 months, respectively. Multivariate analysis revealed that cellular DNA ploidy was the most Important predictive factor (P = 0. 007) of prognosis, followed by residual tumor size (P= 0. 05). Different tumor specimen of the same patient can exhibit variation sometime (38. 9%).The results revealed that the DNA ploidy may reflect tumor biological characteristics, I. e. , Its proliferative ability. Analysis of cellular DNA content of epithelial ovarian tumors would help us to predict the prognosis of the patients better.展开更多
In this paper,a sem iparam etric regression m odel in w hich errors are i.i.d random variables from an unknow n density f(·) is considered.Based on Hallet al.(1995),a nonlinear w avelet estim ation of f(·)...In this paper,a sem iparam etric regression m odel in w hich errors are i.i.d random variables from an unknow n density f(·) is considered.Based on Hallet al.(1995),a nonlinear w avelet estim ation of f(·) withoutrestrictions ofcontinuity everyw here on f(·) is given,and the convergence rate ofthe estim ators in L2 is obtained.展开更多
Metal-organic frameworks(MOFs)have achieved great success in the field of heterogeneous catalysis,however,ifs still challenging to design MOF catalysts with enhanced selectivity.Here,we demonstrated a combination stra...Metal-organic frameworks(MOFs)have achieved great success in the field of heterogeneous catalysis,however,ifs still challenging to design MOF catalysts with enhanced selectivity.Here,we demonstrated a combination strategy of metal design and ligand design on the enantioselectivity—that is the enantioselectivities of chiral MOF(CMOF)catalysts could be significantly enhanced by the rational choice of metal ions with higher electronegativities and introducing sterically demanding groups into the ligands.Four isostructural Ca-,Sr-and Zn-based CMOFs were prepared from enantiopure phosphono-carboxylate ligands of 1,V-biphenol that are functionalized with 2,4,6-trimethyl-and 2,4,6-trifluoro-phenyl groups at the Supposition.The uniformly distributed metal phosphonates along the channels could act as Lewis acids and catalyze the asymmetric transfer hydrogenation of heteroaromatic imines(benzoxazines and quinolines).Particularly,the Ca-based MOF 1 with 2,4,6-trimethyl groups at the substituents exhibited enhanced catalytic performance,affording the highest enantioselectivity(up to 97%).It is also the first report of the heterogeneous catalyst with chiral non-noble metal phosphonate active sites for asymmetric transfer hydrogenation reactions with Hantzsch ester as the hydrogen source.The catalyst design strategy demonstrated here is expected to develop new types of chiral materials for asymmetric catalysis and other chiral applications.展开更多
文摘Let S\-n be the symmetric group, g\++\-i=(123i),g\+-\-i=(1i32) and M\++\-n={g\++\-i∶4≤i≤n}, then M\++\-n is a minimal generating set of S\-n ,where n ≥5.It is proved that Cayley graph Cay( S\-n,M\++\-n∪M\+-\-n) is Hamiltonian and edge symmetric.
文摘The DNA content of tumor all was analyzed by flow cytometry on parafflnembedded specimens in 73 patients with epithelial ovarian tumor, and its clinical significance was evaluated. One of the 5 benign (20%), 2 of the 11 borderline (18.18%), and 30 of the 57 malignant (52. 63%) tumors were aneuplold. The occurrence rate of aneuploidy In malignant tumors was higher than In benign and borderline tumors ( P < 0. 05 ). Furthermore, aneuploidy was more frequently In the advanced stages (Ⅲ -Ⅳ ) (77. 7%) than in the early stages (Ⅰ - Ⅱ ) (9. 5%) (P<0. 005). The occurrence rate of DNA aneuploidy was higher in patients associated with ascites and the residual tumor≥.2 cm. Patients with aneuploid tumors had more of ten ascites (P<0. 005) and residual tumor size≥2cm (P< 0.005). There was no apparent correlation between the DNA ptoidy and the histologic grade, histologic type of the tumors. G0/G1 cell proportion of DNA diplold tumors in advanced carcinoma (64. 6%) was less than those of early stage carcinoma (75. 9% ) (P<0. 05). The survival rate of diplold tumor patients was higher than that of aneuploid tumor patients in the different time after operation, and the median survival time was 30. 2 months and 10. 3 months, respectively. Multivariate analysis revealed that cellular DNA ploidy was the most Important predictive factor (P = 0. 007) of prognosis, followed by residual tumor size (P= 0. 05). Different tumor specimen of the same patient can exhibit variation sometime (38. 9%).The results revealed that the DNA ploidy may reflect tumor biological characteristics, I. e. , Its proliferative ability. Analysis of cellular DNA content of epithelial ovarian tumors would help us to predict the prognosis of the patients better.
文摘In this paper,a sem iparam etric regression m odel in w hich errors are i.i.d random variables from an unknow n density f(·) is considered.Based on Hallet al.(1995),a nonlinear w avelet estim ation of f(·) withoutrestrictions ofcontinuity everyw here on f(·) is given,and the convergence rate ofthe estim ators in L2 is obtained.
基金the National Natural Science Foundation of China(Nos.91956124,21875136,21620102001,91856204,21978058,21676094)the National Key Basic Research Program of China(No.2016YFA0203400)+1 种基金Key Project of Basic Research of Shanghai(Nos.17JC1403100,18JC1413200,19JC1412600)Shanghai Rising-Star Program(No.19QA1404300).
文摘Metal-organic frameworks(MOFs)have achieved great success in the field of heterogeneous catalysis,however,ifs still challenging to design MOF catalysts with enhanced selectivity.Here,we demonstrated a combination strategy of metal design and ligand design on the enantioselectivity—that is the enantioselectivities of chiral MOF(CMOF)catalysts could be significantly enhanced by the rational choice of metal ions with higher electronegativities and introducing sterically demanding groups into the ligands.Four isostructural Ca-,Sr-and Zn-based CMOFs were prepared from enantiopure phosphono-carboxylate ligands of 1,V-biphenol that are functionalized with 2,4,6-trimethyl-and 2,4,6-trifluoro-phenyl groups at the Supposition.The uniformly distributed metal phosphonates along the channels could act as Lewis acids and catalyze the asymmetric transfer hydrogenation of heteroaromatic imines(benzoxazines and quinolines).Particularly,the Ca-based MOF 1 with 2,4,6-trimethyl groups at the substituents exhibited enhanced catalytic performance,affording the highest enantioselectivity(up to 97%).It is also the first report of the heterogeneous catalyst with chiral non-noble metal phosphonate active sites for asymmetric transfer hydrogenation reactions with Hantzsch ester as the hydrogen source.The catalyst design strategy demonstrated here is expected to develop new types of chiral materials for asymmetric catalysis and other chiral applications.