研究著名的Smarandache素数可加补函数SPAC(n)的均值1/n sum from a=1 to n SPAC(a)的敛散性.利用初等及解析方法,给出了均值1/n sum from a=1 to n SPAC(a)一个较强的下界估计.证明均值1/n sum from a=1 to n SPAC(a)是发散的,从而解...研究著名的Smarandache素数可加补函数SPAC(n)的均值1/n sum from a=1 to n SPAC(a)的敛散性.利用初等及解析方法,给出了均值1/n sum from a=1 to n SPAC(a)一个较强的下界估计.证明均值1/n sum from a=1 to n SPAC(a)是发散的,从而解决了由数论专家Kenichiro Kashihara提出的一个关于函数SPAC(n)的猜想.展开更多
Using isoelective focusing in immobilized pH gradients and immunoblot, C3 phenotypes (F, FS, S) and C3 HAV4-1 monoclonal (F±S±) phenotypes were performed in 90 patients with IgA glomerulonephrits,(G.N.).incl...Using isoelective focusing in immobilized pH gradients and immunoblot, C3 phenotypes (F, FS, S) and C3 HAV4-1 monoclonal (F±S±) phenotypes were performed in 90 patients with IgA glomerulonephrits,(G.N.).including 49 IgA G. N.hypertensive (H.T.) patients and 41 IgA G. N. normotensive (N.T.) patients, and in 224 normal subjects (N.S.). A significant difference of C3 phenotype distribution between both IgA G. N.(hypertensive and normotensive) and N. S. was .found (P<0.01,P<0.01respectively).In monoclonal C3 HAV4-1(±) distribution significant difference between IgA H. T.and N.S.was observed (P<0.01). Furthermore, F and S allele .frequency of IgA G. N. including HT and NT is significantly. different (P<0.05). This data suggests that hypertensive patients with IgA G. N. seems to be related io the abnormal C3 genetic factors and if this gene distributions can be used as a predictor for the prognosis still needs futher investigations.展开更多
文摘研究著名的Smarandache素数可加补函数SPAC(n)的均值1/n sum from a=1 to n SPAC(a)的敛散性.利用初等及解析方法,给出了均值1/n sum from a=1 to n SPAC(a)一个较强的下界估计.证明均值1/n sum from a=1 to n SPAC(a)是发散的,从而解决了由数论专家Kenichiro Kashihara提出的一个关于函数SPAC(n)的猜想.
文摘Using isoelective focusing in immobilized pH gradients and immunoblot, C3 phenotypes (F, FS, S) and C3 HAV4-1 monoclonal (F±S±) phenotypes were performed in 90 patients with IgA glomerulonephrits,(G.N.).including 49 IgA G. N.hypertensive (H.T.) patients and 41 IgA G. N. normotensive (N.T.) patients, and in 224 normal subjects (N.S.). A significant difference of C3 phenotype distribution between both IgA G. N.(hypertensive and normotensive) and N. S. was .found (P<0.01,P<0.01respectively).In monoclonal C3 HAV4-1(±) distribution significant difference between IgA H. T.and N.S.was observed (P<0.01). Furthermore, F and S allele .frequency of IgA G. N. including HT and NT is significantly. different (P<0.05). This data suggests that hypertensive patients with IgA G. N. seems to be related io the abnormal C3 genetic factors and if this gene distributions can be used as a predictor for the prognosis still needs futher investigations.