In this paper we obtained the asymptotic formula of the orthogonal rational function on the unit circle with respect to the weight function μ(z) with preasigned poles, which are in the exterior of the unit disk.
Dimethyltin dichloride-dibenzyl sulfoxide,（（CH3）2SnCl2·O=S（CH2C6H5）2）,crystallizes in the orthorhombic space group P212121 with a superstructure of dimensions a = 11.9290（1）,b = 19.50490（1）,c = 55.7390...Dimethyltin dichloride-dibenzyl sulfoxide,（（CH3）2SnCl2·O=S（CH2C6H5）2）,crystallizes in the orthorhombic space group P212121 with a superstructure of dimensions a = 11.9290（1）,b = 19.50490（1）,c = 55.7390（6） ; Z = 28. The geometry of the five-coordinated tin atom in each of the seven independent adduct molecules is a square pyramid that is displaced towards a cis-trigonal bipyramid; the extent of displacement along the Berry pseudorotation pathway ranges from 20 to 45%.展开更多
It is now over half a century since Keulegan conducted his open channel flow experiments. Over the past decades, many empirical formulae were proposed based on his results, however, there is still not a combined expre...It is now over half a century since Keulegan conducted his open channel flow experiments. Over the past decades, many empirical formulae were proposed based on his results, however, there is still not a combined expression to describe the effects of friction over all hydraulic regions in open channel flows. Therefore, in this letter, based on the analysis of the implicit model and the logarithmic matching method, the results of Keulegan （for authentic experiment data are no longer available, here we adopt the analytical solutions given by Dou） are rescaled into one monotone curve by combining the Reynolds number and the relative roughness of the river bed. A united expression that could cover the entire turbulence regions and be validated with Dou＇s analytical solutions is suggested to estimate the friction factor throughout the turbulent region in open channel flows, with higher accuracy than that of the previous formulas.展开更多
文摘In this paper we obtained the asymptotic formula of the orthogonal rational function on the unit circle with respect to the weight function μ(z) with preasigned poles, which are in the exterior of the unit disk.
文摘Dimethyltin dichloride-dibenzyl sulfoxide,（（CH3）2SnCl2·O=S（CH2C6H5）2）,crystallizes in the orthorhombic space group P212121 with a superstructure of dimensions a = 11.9290（1）,b = 19.50490（1）,c = 55.7390（6） ; Z = 28. The geometry of the five-coordinated tin atom in each of the seven independent adduct molecules is a square pyramid that is displaced towards a cis-trigonal bipyramid; the extent of displacement along the Berry pseudorotation pathway ranges from 20 to 45%.
基金supported by the National Natural Science Foun-dation of China(Grant Nos.51479007,11172218 and 11372232)the Specialized Research Fund for the Doctoral Program of Higher Education(Grant No.20130141110016)
文摘It is now over half a century since Keulegan conducted his open channel flow experiments. Over the past decades, many empirical formulae were proposed based on his results, however, there is still not a combined expression to describe the effects of friction over all hydraulic regions in open channel flows. Therefore, in this letter, based on the analysis of the implicit model and the logarithmic matching method, the results of Keulegan （for authentic experiment data are no longer available, here we adopt the analytical solutions given by Dou） are rescaled into one monotone curve by combining the Reynolds number and the relative roughness of the river bed. A united expression that could cover the entire turbulence regions and be validated with Dou＇s analytical solutions is suggested to estimate the friction factor throughout the turbulent region in open channel flows, with higher accuracy than that of the previous formulas.
