Using Nevanlinna theory of the value distribution of meromorphic functions, we investigate the problem of the existence of meromorphic solutions of some types of complex differential-difference equations and some prop...Using Nevanlinna theory of the value distribution of meromorphic functions, we investigate the problem of the existence of meromorphic solutions of some types of complex differential-difference equations and some properties of meromorphic solutions, and we ob- tain some results, which are the improvements and extensions of some results in references. Examples show that our results are precise.展开更多
The compact implicit integration factor (cIIF) method is an efficient time discretization scheme for stiff nonlinear diffusion equations in two and three spatial dimensions. In the current work, we apply the cIIF me...The compact implicit integration factor (cIIF) method is an efficient time discretization scheme for stiff nonlinear diffusion equations in two and three spatial dimensions. In the current work, we apply the cIIF method to some complex-valued nonlinear evolutionary equations such as the nonlinear SchrSdinger (NLS) equation and the complex Ginzburg-Landau (GL) equation. Detailed algorithm formulation and practical implementation of cIIF method are performed. The numerical results indicate that this method is very accurate and efficient.展开更多
Higher-order almost cyclostationary complex processes are complex random signals with almost periodically time-varying statistics, which is important to the research of non-Gaussian signals in information system. In t...Higher-order almost cyclostationary complex processes are complex random signals with almost periodically time-varying statistics, which is important to the research of non-Gaussian signals in information system. In tins paper, smoothed polyperiodograms are proposed for related to cyclic polyspectral estimation and are shown to be consistent and asymptotically complex normal. Asymptotic covariance expressions are derived along with their computable forms.展开更多
With the help of the symbolic computation system Maple, the Riccati equation mapping approach and a linear variable separation approach, a new family of complex solutions for the (2+ 1)-dimensional Boiti-Leon-Pempi...With the help of the symbolic computation system Maple, the Riccati equation mapping approach and a linear variable separation approach, a new family of complex solutions for the (2+ 1)-dimensional Boiti-Leon-Pempinelli system (BLP) is derived. Based on the derived solitary wave solution, some novel complex wave localized excitations are obtained.展开更多
in this study serum complement mediated immune complex solubilizing capacity (CMSC) and immune complement precipitation capacity (ICPIC) of 32 children with acute glomerulonephritis (AGN) were measured. The data showe...in this study serum complement mediated immune complex solubilizing capacity (CMSC) and immune complement precipitation capacity (ICPIC) of 32 children with acute glomerulonephritis (AGN) were measured. The data showed that the level of serum CMSC and ICPIC was markedly decreased in acute phase and returned to normal in the 7th week after onset of disease.Correlation analysis revealed that there were positive correlation between the level of serum CMSC and ICPIC and the serum concentration of CH50, C3, C4, but no linear correlation between the level of serum CMSC and ICPIC and the amount of CIC. These results suggest that the declined serum CMSC and ICPIC in AGN may be associ ated with the pathogenesis of AGN.展开更多
The present paper represents the syntheses of polypropyloxymethyldithia 15-crown-5 and 18-crown-6 supported on silica and their platinum complexes. The platinum complexes are effective catalysts for the hydrosilylatio...The present paper represents the syntheses of polypropyloxymethyldithia 15-crown-5 and 18-crown-6 supported on silica and their platinum complexes. The platinum complexes are effective catalysts for the hydrosilylation of olefins with triethoxysilane. The influences of temperature, amount of platinum complexes used and the nature of olefins used on the catalytic activity of the complexes are also investigated in this paper.展开更多
基金supported by the National Natural Science Foundation of China(11171013)supported by the Fundamental Research Funds for the Central Universitiesthe Research Funds of Renmin University of China(16XNH117)
文摘Using Nevanlinna theory of the value distribution of meromorphic functions, we investigate the problem of the existence of meromorphic solutions of some types of complex differential-difference equations and some properties of meromorphic solutions, and we ob- tain some results, which are the improvements and extensions of some results in references. Examples show that our results are precise.
文摘The compact implicit integration factor (cIIF) method is an efficient time discretization scheme for stiff nonlinear diffusion equations in two and three spatial dimensions. In the current work, we apply the cIIF method to some complex-valued nonlinear evolutionary equations such as the nonlinear SchrSdinger (NLS) equation and the complex Ginzburg-Landau (GL) equation. Detailed algorithm formulation and practical implementation of cIIF method are performed. The numerical results indicate that this method is very accurate and efficient.
文摘Higher-order almost cyclostationary complex processes are complex random signals with almost periodically time-varying statistics, which is important to the research of non-Gaussian signals in information system. In tins paper, smoothed polyperiodograms are proposed for related to cyclic polyspectral estimation and are shown to be consistent and asymptotically complex normal. Asymptotic covariance expressions are derived along with their computable forms.
基金Project supported by the National Natural Science Foundation of China(Grant No.11375079)the Natural Science Foundation of Zhejiang Province,China(Grant Nos.Y6100257 and Y6110140)
文摘With the help of the symbolic computation system Maple, the Riccati equation mapping approach and a linear variable separation approach, a new family of complex solutions for the (2+ 1)-dimensional Boiti-Leon-Pempinelli system (BLP) is derived. Based on the derived solitary wave solution, some novel complex wave localized excitations are obtained.
文摘in this study serum complement mediated immune complex solubilizing capacity (CMSC) and immune complement precipitation capacity (ICPIC) of 32 children with acute glomerulonephritis (AGN) were measured. The data showed that the level of serum CMSC and ICPIC was markedly decreased in acute phase and returned to normal in the 7th week after onset of disease.Correlation analysis revealed that there were positive correlation between the level of serum CMSC and ICPIC and the serum concentration of CH50, C3, C4, but no linear correlation between the level of serum CMSC and ICPIC and the amount of CIC. These results suggest that the declined serum CMSC and ICPIC in AGN may be associ ated with the pathogenesis of AGN.
基金Supported by the Fund for Ph.D. programme from State Education Commission
文摘The present paper represents the syntheses of polypropyloxymethyldithia 15-crown-5 and 18-crown-6 supported on silica and their platinum complexes. The platinum complexes are effective catalysts for the hydrosilylation of olefins with triethoxysilane. The influences of temperature, amount of platinum complexes used and the nature of olefins used on the catalytic activity of the complexes are also investigated in this paper.