本文首先借助hypergenic函数改进的柯西积分公式,呈现了hypergenic函数改进的柯西积分公式的另一种形式。接着,基于hypergenic函数与对偶的hypergenic函数两者之间的关系,我们推导出了对偶的hypergenic函数所对应的改进的柯西型积分公...本文首先借助hypergenic函数改进的柯西积分公式,呈现了hypergenic函数改进的柯西积分公式的另一种形式。接着,基于hypergenic函数与对偶的hypergenic函数两者之间的关系,我们推导出了对偶的hypergenic函数所对应的改进的柯西型积分公式。最后,进一步探讨并推导了关于(1 − n)-hypergenic函数的改进的积分表示。In this article, with the help of the hypergenic function for the improved Cauchy integral formula, we first give another form of the hypergenic function for the improved Cauchy integral formula. Then, on the basis of the relationship between hypergenic function and the dual hypergenic function, the dual hypergenic function for the improved Cauchy integral formula is obtained. Finally, the related results of a (1 − n)-hypergenic function for the improved integral representation are derived.展开更多
We tested the hypothesis that abnormal left ventricular(LV) relaxation is associated with concentric LV geometry. Methods and results: Doppler LV filling properties were studied in 1384 hypertensive participants witho...We tested the hypothesis that abnormal left ventricular(LV) relaxation is associated with concentric LV geometry. Methods and results: Doppler LV filling properties were studied in 1384 hypertensive participants without cardiovascular disease, from the HyperGEN population(731 women, 784 obese, 236 diabetic) and compared in four LV geometry groups; normal, concentric remodelling(3.5% ), eccentric(23% ), and concentric LV hypertrophy(4% ), based on echocardiographic LV mass index(in g/m2.7). Abnormal LV relaxation was identified by European Society of Cardiology criteria in 275 subjects(20% ). After accounting for significant confounders, E/A ratio and isovolumic relaxation time were not related to the presence of LV hypertrophy, but indicated abnormal relaxation when LV geometry was concentric(both P< 0.0001). Deceleration time of E velocity was prolonged with LV hypertrophy(P< 0.03), but the behaviour in relation to concentric LV geometry differed in the presence(prolonged) or absence(reduced) of LV hypertrophy(P=0.05), a difference independently related to the magnitude of both transmitral gradients and stroke volume(all P< 0.05). Logistic regression showed that, compared with normal LV geometry, the odds of abnormal LV relaxation was 2.3- fold greater when LV geometry was concentric and that LV hypertrophy conferred a borderline higher risk than normal LV mass. Conclusions: In hypertensive individuals without prevalent cardiovascular disease from a multi-ethnic population-based sample, delayed LV relaxation is independently associated with concentric LV geometry.展开更多
The sphalerite oxidative kinetics under hypergene condition was simulated and studied by means of a mixed flow reactor over a pH range of 1.0 7.8,and at dissolution temperatures from 20 to 55℃,ferric ion concentratio...The sphalerite oxidative kinetics under hypergene condition was simulated and studied by means of a mixed flow reactor over a pH range of 1.0 7.8,and at dissolution temperatures from 20 to 55℃,ferric ion concentrations from 1.0×10-5 to 1.0×10-2 mol/L,O 2 flux of 0.5 L/min,and oxidants of ferric ion and O 2.It is indicated that with ferric ion as oxidant,the oxidation rate of sphalerite increases with increasing ferric ion concentration,temperature and decreasing pH value,and under the studied conditions,the dissolution rates of Zn and Cd are approximately identical,with the values of activation energy being 41.75 and 42.51 kJ·mol-1,respectively,suggesting that the oxidation rate of sphalerite is controlled by chemical reactions on mineral surface.However,with O 2 as oxidant,the oxidation mechanism of sphalerite varies with pH value.Oxidation rate decreases with increasing pH value when pH is lower than 5.95,whereas the increase of pH value results in an increase in oxidation rate when pH value is higher than 7.The oxidation rate of sphalerite can be expressed as:R Zn =10 1.1663 [Fe3+] 0 0.154 ·[H+] 0.2659 ·e-41.75/RT or R Cd =10 1.7292 [Fe3+] 0 0.170 ·[H+] 0.2637 ·e-42.展开更多
文摘本文首先借助hypergenic函数改进的柯西积分公式,呈现了hypergenic函数改进的柯西积分公式的另一种形式。接着,基于hypergenic函数与对偶的hypergenic函数两者之间的关系,我们推导出了对偶的hypergenic函数所对应的改进的柯西型积分公式。最后,进一步探讨并推导了关于(1 − n)-hypergenic函数的改进的积分表示。In this article, with the help of the hypergenic function for the improved Cauchy integral formula, we first give another form of the hypergenic function for the improved Cauchy integral formula. Then, on the basis of the relationship between hypergenic function and the dual hypergenic function, the dual hypergenic function for the improved Cauchy integral formula is obtained. Finally, the related results of a (1 − n)-hypergenic function for the improved integral representation are derived.
文摘We tested the hypothesis that abnormal left ventricular(LV) relaxation is associated with concentric LV geometry. Methods and results: Doppler LV filling properties were studied in 1384 hypertensive participants without cardiovascular disease, from the HyperGEN population(731 women, 784 obese, 236 diabetic) and compared in four LV geometry groups; normal, concentric remodelling(3.5% ), eccentric(23% ), and concentric LV hypertrophy(4% ), based on echocardiographic LV mass index(in g/m2.7). Abnormal LV relaxation was identified by European Society of Cardiology criteria in 275 subjects(20% ). After accounting for significant confounders, E/A ratio and isovolumic relaxation time were not related to the presence of LV hypertrophy, but indicated abnormal relaxation when LV geometry was concentric(both P< 0.0001). Deceleration time of E velocity was prolonged with LV hypertrophy(P< 0.03), but the behaviour in relation to concentric LV geometry differed in the presence(prolonged) or absence(reduced) of LV hypertrophy(P=0.05), a difference independently related to the magnitude of both transmitral gradients and stroke volume(all P< 0.05). Logistic regression showed that, compared with normal LV geometry, the odds of abnormal LV relaxation was 2.3- fold greater when LV geometry was concentric and that LV hypertrophy conferred a borderline higher risk than normal LV mass. Conclusions: In hypertensive individuals without prevalent cardiovascular disease from a multi-ethnic population-based sample, delayed LV relaxation is independently associated with concentric LV geometry.
基金supported jointly by the National Natural Science Foundation of China (Grant No. 40930425)the Science and Technology Foundation of Guizhou Province [Grant No. (2010)2229]the Geological Science Foundation of the Bureau of Geology and Mineral Exploration and Development of Guizhou Province [Grant No. (2009)18]
文摘The sphalerite oxidative kinetics under hypergene condition was simulated and studied by means of a mixed flow reactor over a pH range of 1.0 7.8,and at dissolution temperatures from 20 to 55℃,ferric ion concentrations from 1.0×10-5 to 1.0×10-2 mol/L,O 2 flux of 0.5 L/min,and oxidants of ferric ion and O 2.It is indicated that with ferric ion as oxidant,the oxidation rate of sphalerite increases with increasing ferric ion concentration,temperature and decreasing pH value,and under the studied conditions,the dissolution rates of Zn and Cd are approximately identical,with the values of activation energy being 41.75 and 42.51 kJ·mol-1,respectively,suggesting that the oxidation rate of sphalerite is controlled by chemical reactions on mineral surface.However,with O 2 as oxidant,the oxidation mechanism of sphalerite varies with pH value.Oxidation rate decreases with increasing pH value when pH is lower than 5.95,whereas the increase of pH value results in an increase in oxidation rate when pH value is higher than 7.The oxidation rate of sphalerite can be expressed as:R Zn =10 1.1663 [Fe3+] 0 0.154 ·[H+] 0.2659 ·e-41.75/RT or R Cd =10 1.7292 [Fe3+] 0 0.170 ·[H+] 0.2637 ·e-42.
