本文求解形为,f(x)=multiply from k=1 to 2(x^2-p_kx-q_k)+k multiply from k=1 to 2(x^2-r(?)x-s_k) (1)(其中 n 为偶数)或 f(x)=multiply from k=1 to n(x-Pk)+K multiply from k=1 to n(x-q_k) (2)的“乘积多项式”的所有二次因式 x...本文求解形为,f(x)=multiply from k=1 to 2(x^2-p_kx-q_k)+k multiply from k=1 to 2(x^2-r(?)x-s_k) (1)(其中 n 为偶数)或 f(x)=multiply from k=1 to n(x-Pk)+K multiply from k=1 to n(x-q_k) (2)的“乘积多项式”的所有二次因式 x^2-u(?)x-v_i.用[1]中方法,得初始近似因子ω(x)=x^2+ux+v.再分两步求ω(x)的修正因子ω(x):1.用ω~2(x)除 f(x),得余式 R_1(x);2.用ω~2(x)除 xR_1(x),得余式 R_2(x).再取 R_1(x)与 R_2(x)的适当线性组合。展开更多
Aim To study the proliferative effeet of hydroxysaftlor yellow A （HSYA） on cultured canine aortic endothelial cell （VEC） in normoxic （21% O2 ） or hypoxic （10% O2 ） culture and the underlying mechanism. Methods...Aim To study the proliferative effeet of hydroxysaftlor yellow A （HSYA） on cultured canine aortic endothelial cell （VEC） in normoxic （21% O2 ） or hypoxic （10% O2 ） culture and the underlying mechanism. Methods The endothelial cells were scratched from trypsined canine aorta endothelium. HSYA was added to the cells at final concentrations of 1 × 10^-3, 1 × 10^-4 and 1 × 10^-5 mol· L^-1, respectively. VEGF （2.6 × 10^-7 mol· L^-1 ）-treated cells were used as the positive control. The proliferative effect of HSYA on VEC was determined at 48, 72, 96, and 120 h in normoxic culture by MTI＂ assay. Similarly, the proliferation of VEC was determined at 12, 24, 48, and 72 h in hypoxic culture by MTF assay. The effects of HSYA on VEC proliferation and VEGF secretion were investigated by MTr and ELISA assays at the presence of the antibodies to VEGF and VEGF receptors. Results Pretreatment with HSYA at concentrations of 1 × 10^-3 and 1 × 10^-4 mol· L^-1 enhanced VEC proliferation in normoxic culture. The most significant enhancing effect of HSYA on VEC proliferation was achieved at 24, 48, and 72 h in hypoxic culture in concentration-dependent and time-dependent manner. HSYA at 1 × 10^-3 mol·L^-1 showed a potency similar to VEGF at 2.6 × 10^-7 mol·L^-1 . Pretreatment with the antibodies of Flt-1, KDR or VEGF blocked the proliferative effect of HSYA with similar potencies. Antibodies of Fit-1 or VEGF antagonized the promoting effect of HSYA on VEGF secretion. Conclusion HSYA promotes VEC proliferation either in normoxic or hypoxic culture, especially in the latter condition. This effect of HSYA is at least partly mediated by VEGF and VEGF receptor.展开更多
文摘本文求解形为,f(x)=multiply from k=1 to 2(x^2-p_kx-q_k)+k multiply from k=1 to 2(x^2-r(?)x-s_k) (1)(其中 n 为偶数)或 f(x)=multiply from k=1 to n(x-Pk)+K multiply from k=1 to n(x-q_k) (2)的“乘积多项式”的所有二次因式 x^2-u(?)x-v_i.用[1]中方法,得初始近似因子ω(x)=x^2+ux+v.再分两步求ω(x)的修正因子ω(x):1.用ω~2(x)除 f(x),得余式 R_1(x);2.用ω~2(x)除 xR_1(x),得余式 R_2(x).再取 R_1(x)与 R_2(x)的适当线性组合。
文摘Aim To study the proliferative effeet of hydroxysaftlor yellow A （HSYA） on cultured canine aortic endothelial cell （VEC） in normoxic （21% O2 ） or hypoxic （10% O2 ） culture and the underlying mechanism. Methods The endothelial cells were scratched from trypsined canine aorta endothelium. HSYA was added to the cells at final concentrations of 1 × 10^-3, 1 × 10^-4 and 1 × 10^-5 mol· L^-1, respectively. VEGF （2.6 × 10^-7 mol· L^-1 ）-treated cells were used as the positive control. The proliferative effect of HSYA on VEC was determined at 48, 72, 96, and 120 h in normoxic culture by MTI＂ assay. Similarly, the proliferation of VEC was determined at 12, 24, 48, and 72 h in hypoxic culture by MTF assay. The effects of HSYA on VEC proliferation and VEGF secretion were investigated by MTr and ELISA assays at the presence of the antibodies to VEGF and VEGF receptors. Results Pretreatment with HSYA at concentrations of 1 × 10^-3 and 1 × 10^-4 mol· L^-1 enhanced VEC proliferation in normoxic culture. The most significant enhancing effect of HSYA on VEC proliferation was achieved at 24, 48, and 72 h in hypoxic culture in concentration-dependent and time-dependent manner. HSYA at 1 × 10^-3 mol·L^-1 showed a potency similar to VEGF at 2.6 × 10^-7 mol·L^-1 . Pretreatment with the antibodies of Flt-1, KDR or VEGF blocked the proliferative effect of HSYA with similar potencies. Antibodies of Fit-1 or VEGF antagonized the promoting effect of HSYA on VEGF secretion. Conclusion HSYA promotes VEC proliferation either in normoxic or hypoxic culture, especially in the latter condition. This effect of HSYA is at least partly mediated by VEGF and VEGF receptor.
