在本文中,我们应用孟德博仪所建立的论证方法,把关于狄里希莱级数的复合定理推广到拉普拉斯变换上,可得到与狄里希莱级数完全类似的两个定理。§1 两个引理考虑积分f(s)=integral from 0 to ∞ e^(-st)Φ(t)dt (1)引理1 若Φ(u)在(0...在本文中,我们应用孟德博仪所建立的论证方法,把关于狄里希莱级数的复合定理推广到拉普拉斯变换上,可得到与狄里希莱级数完全类似的两个定理。§1 两个引理考虑积分f(s)=integral from 0 to ∞ e^(-st)Φ(t)dt (1)引理1 若Φ(u)在(0,R)上连续且在 u=t(t(?)0)的近邻有有界变差,积分(1)在σ=c 上绝对收敛。展开更多
Magnetically modified palygorskite composites were synthesized with γ-Fe2O3 dispersing on the external surface of clay mineral. The magnetic clay was characterized with Fourier transform infrared, X-ray diffrac- tion...Magnetically modified palygorskite composites were synthesized with γ-Fe2O3 dispersing on the external surface of clay mineral. The magnetic clay was characterized with Fourier transform infrared, X-ray diffrac- tion, transmission electron microscopy, and vibrating sample magnetometer. Candida sp. 99-125 lipase was immobilized on magnetic palygorskite composites by physical adsorption with enzyme loading of 41.5 mg· g^-1 support and enzyme activity of 2631.6 U· （g support）^-1. The immobilized lipase exhibit better thermal and broader pH stability and excellent reusabilitV compared with free lipase.展开更多
In this paper,we give a fixed point theorem for multi-valued composite increasing operators, which generalizes the theorem of the paper [1] under not only multi-valued mappings but also single-valued mappings. And we...In this paper,we give a fixed point theorem for multi-valued composite increasing operators, which generalizes the theorem of the paper [1] under not only multi-valued mappings but also single-valued mappings. And we generalizes the corresponding results of [2]-[5].展开更多
Nitrogen molecules Nx have been the subject of much recent research because of their potential as high-energy materials. Many nitrogen molecules dissociate with very low barriers, including molecules such as acyclic N...Nitrogen molecules Nx have been the subject of much recent research because of their potential as high-energy materials. Many nitrogen molecules dissociate with very low barriers, including molecules such as acyclic N4 that are essentially unbound. A number of studies have reported the ability of heteroatoms to stabilize complex nitrogen molecules. In the present study, the energetic and electronic properties of scandium（Ⅰ） and titanium（Ⅱ） complexes with N2 and N4 are calculated and discussed. Dissociation energies and singlet-triplet energies are determined by theoretical calculations using second-order perturbation theory （MP2） in conjunction with the Dunning basis sets.展开更多
基金the National Basic Research Program of China(2009CB724700)the Foundation of Jiangsu Province of China for College Postgraduate Students in Innovation Engineering(CXZZ12_0440)
文摘Magnetically modified palygorskite composites were synthesized with γ-Fe2O3 dispersing on the external surface of clay mineral. The magnetic clay was characterized with Fourier transform infrared, X-ray diffrac- tion, transmission electron microscopy, and vibrating sample magnetometer. Candida sp. 99-125 lipase was immobilized on magnetic palygorskite composites by physical adsorption with enzyme loading of 41.5 mg· g^-1 support and enzyme activity of 2631.6 U· （g support）^-1. The immobilized lipase exhibit better thermal and broader pH stability and excellent reusabilitV compared with free lipase.
文摘In this paper,we give a fixed point theorem for multi-valued composite increasing operators, which generalizes the theorem of the paper [1] under not only multi-valued mappings but also single-valued mappings. And we generalizes the corresponding results of [2]-[5].
基金The Alabama Supercomputer Authority is gratefully acknowledged for a grant of computer time on the SGI Altix in Huntsville, AL. This work was supported by the National Science Foundation （NSF/HBCU-UP grant 0505872）. SJ is supported by NSF/HBCU-UP as an undergraduate scholar. This work was also supported by the National Institutes of Health （NIHINCMHD 1P20MD000547-01） and the Petroleum Research Fund, administered by the American Chemical Society （PRF 43798-B6）. AH is supported by the NIH as an undergraduate scholar in the Minority Access to Research Careers program （NIH/NIGMS 2T34GM008167-22A 1）. The taxpayers of the state of Alabama in particular and the United States in general are gratefully acknowledged.
文摘Nitrogen molecules Nx have been the subject of much recent research because of their potential as high-energy materials. Many nitrogen molecules dissociate with very low barriers, including molecules such as acyclic N4 that are essentially unbound. A number of studies have reported the ability of heteroatoms to stabilize complex nitrogen molecules. In the present study, the energetic and electronic properties of scandium（Ⅰ） and titanium（Ⅱ） complexes with N2 and N4 are calculated and discussed. Dissociation energies and singlet-triplet energies are determined by theoretical calculations using second-order perturbation theory （MP2） in conjunction with the Dunning basis sets.
