In this paper, a new extended complex tanh-function method is presented for constructing traveling wave, non-traveling wave, and coefficient functions' soliton-like solutions of nonlinear equations. This method is mo...In this paper, a new extended complex tanh-function method is presented for constructing traveling wave, non-traveling wave, and coefficient functions' soliton-like solutions of nonlinear equations. This method is more powerful than the complex tanh-function method [Chaos, Solitons and Fractals 20 (2004) 1037]. Abundant new solutions o[ (2q-1)-dimensional Hirota equation are obtained by using this method and symbolic computation system Maple.展开更多
OBJECTIVE To compare the differences of mitochondrial DNA (mtDNA) copies among the tissues of esophageal squamous cell carcinoma (ESCC), para-neoplastic tissue and normal mucous membrane of the esophagus, and to study...OBJECTIVE To compare the differences of mitochondrial DNA (mtDNA) copies among the tissues of esophageal squamous cell carcinoma (ESCC), para-neoplastic tissue and normal mucous membrane of the esophagus, and to study the relationship between the mtDNA and the occurrence and devel- opment of esophageal squamous cell carcinoma. METHODS The mtDNA copies of 42 specimens with the ESCC, paraneoplastic mucous tissue and normal mucous membrane of the esophagus were determined using real-time fluorescence quantitative PCR. The mtDNA was analyzed using agarose gel electrophoresis. RESULTS The mtDNA from all of the tissues (42/42) from the ESCC, para-neoplastic tissue and normal esophageal mucous membranes was analyzed, showing that there were an average mtDNA copy number of 27.1894×106 μg DNA, 9.4102×106 μg DNA and 5.9347×106 μg DNA, from the respective tissues. There were signifi cant differences (F=27.83, P<0.05) in mtDNA copy number among the three. A positive band was shown at 403 bp after gel electrophoresis of the PCR products, and the lane where the ESCC mtDNA located was rather bright, which was in accordance with the result of the real-time PCR determination. CONCLUSION An increase in the mtDNA copy number is related to the occurrence and development of ESCC.展开更多
This paper examined the method to evaluate structural complexity of circular economy system's industrial chain, which applied entropy information and hierarchical metrics to produce complexity degrees according to th...This paper examined the method to evaluate structural complexity of circular economy system's industrial chain, which applied entropy information and hierarchical metrics to produce complexity degrees according to the theory of complex system. We developed an evaluation model to make a general metrics for circular economy system of industrial chains. The development of the evaluation tree drew upon five factors to identify the structural complexity. The evaluation model generated unitive entropy information from six data definition (node, level of community, metabolic span, degree of node, number of relation and connectivity of node) according to the evaluation tree. The industrial chains of Tashan circular economy park of Datong Coal Mine Group and Gujiao circular economy park of Xishan Coal-Electricity Group were evaluated by the proposed method. The key factors stunted by the decline of structural complexity were identified and the unitive metrics of entropy information of the industrial chain was shown for realigning the circular economy systems.展开更多
Based on constructal theory and entransy theory,a generalized constructal optimization of a solidification heat transfer process of slab continuous casting for a specified total water flow rate in the secondary coolin...Based on constructal theory and entransy theory,a generalized constructal optimization of a solidification heat transfer process of slab continuous casting for a specified total water flow rate in the secondary cooling zone was carried out.A complex function was taken as the optimization objective to perform the casting.The complex function was composed of the functions of the entransy dissipation and surface temperature gradient of the slab.The optimal water distribution at the sections of the secondary cooling zone were obtained.The effects of the total water flow rate in the secondary cooling zone,casting speed,superheat and water distribution on the generalized constructal optimizations of the secondary cooling process were analyzed.The results show that on comparing the optimization results obtained based on the optimal water distributions of the 8 sections in the secondary cooling zone with those based on the initial ones,the complex function and the functions of the entransy dissipation and surface temperature gradient after optimization decreased by 43.25%,5.90%and 80.60%,respectively.The quality and energy storage of the slab had obviously improved in this case.The complex function,composed of the functions of the entransy dissipation and surface temperature gradient of the slab,was a compromise between the internal and surface temperature gradients of the slab.Essentially,it is also the compromise between energy storage and quality of the slab.The"generalized constructal optimization"based on the minimum complex function can provide an optimal alternative scheme from the point of view of improving energy storage and quality for the parameter design and dynamic operation of the solidification heat transfer process of slab continuous casting.展开更多
In this paper, the sharp distortion theorems of the Frechet-derivative type for a subclass of biholomorphic mappings which have a parametric representation on the unit ball of complex Banach spaces are established, an...In this paper, the sharp distortion theorems of the Frechet-derivative type for a subclass of biholomorphic mappings which have a parametric representation on the unit ball of complex Banach spaces are established, and the corresponding results of the above generalized mappings on the unit polydisk in Cn are also given. Meanwhile, the sharp distortion theorems of the Jacobi determinant type for a subclass of biholomorphic mappings which have a parametric representation on the unit ball with an arbitrary norm in C~ are obtained, and the corresponding results of the above generalized mappings on the unit polydisk in C~ are got as well. Thus, some known results in prior literatures are generalized.展开更多
Abstract Denote by Qm the generalized quaternion group of order 4m. Let R(Qm) be its complex representation ring, and △(Qm) its augmentation ideal. In this paper, the author gives an explicit Z-basis for the △n...Abstract Denote by Qm the generalized quaternion group of order 4m. Let R(Qm) be its complex representation ring, and △(Qm) its augmentation ideal. In this paper, the author gives an explicit Z-basis for the △n(Qm) mid determines the isomorphism class of the n-th augmentation quotient for each positive integer n.展开更多
基金The project supported by National Natural Science Foundation of China and the Natural Science Foundation of Shandong Province of China
文摘In this paper, a new extended complex tanh-function method is presented for constructing traveling wave, non-traveling wave, and coefficient functions' soliton-like solutions of nonlinear equations. This method is more powerful than the complex tanh-function method [Chaos, Solitons and Fractals 20 (2004) 1037]. Abundant new solutions o[ (2q-1)-dimensional Hirota equation are obtained by using this method and symbolic computation system Maple.
基金supported by the grand from Key Subjects Construction of the 10th Five-Year Plans 211 Project of the Ministry of Edu-cation [No. Jiaozhongban (2002) No.2].
文摘OBJECTIVE To compare the differences of mitochondrial DNA (mtDNA) copies among the tissues of esophageal squamous cell carcinoma (ESCC), para-neoplastic tissue and normal mucous membrane of the esophagus, and to study the relationship between the mtDNA and the occurrence and devel- opment of esophageal squamous cell carcinoma. METHODS The mtDNA copies of 42 specimens with the ESCC, paraneoplastic mucous tissue and normal mucous membrane of the esophagus were determined using real-time fluorescence quantitative PCR. The mtDNA was analyzed using agarose gel electrophoresis. RESULTS The mtDNA from all of the tissues (42/42) from the ESCC, para-neoplastic tissue and normal esophageal mucous membranes was analyzed, showing that there were an average mtDNA copy number of 27.1894×106 μg DNA, 9.4102×106 μg DNA and 5.9347×106 μg DNA, from the respective tissues. There were signifi cant differences (F=27.83, P<0.05) in mtDNA copy number among the three. A positive band was shown at 403 bp after gel electrophoresis of the PCR products, and the lane where the ESCC mtDNA located was rather bright, which was in accordance with the result of the real-time PCR determination. CONCLUSION An increase in the mtDNA copy number is related to the occurrence and development of ESCC.
基金Supported by the National Natural Science Foundation of China (70771060) the Natural Science Foundation of Shandong Province (Y2006H10) the Project of Humanities and Social Science (11YJA630101)
文摘This paper examined the method to evaluate structural complexity of circular economy system's industrial chain, which applied entropy information and hierarchical metrics to produce complexity degrees according to the theory of complex system. We developed an evaluation model to make a general metrics for circular economy system of industrial chains. The development of the evaluation tree drew upon five factors to identify the structural complexity. The evaluation model generated unitive entropy information from six data definition (node, level of community, metabolic span, degree of node, number of relation and connectivity of node) according to the evaluation tree. The industrial chains of Tashan circular economy park of Datong Coal Mine Group and Gujiao circular economy park of Xishan Coal-Electricity Group were evaluated by the proposed method. The key factors stunted by the decline of structural complexity were identified and the unitive metrics of entropy information of the industrial chain was shown for realigning the circular economy systems.
基金supported by the National Key Basic Research and Devel-opment Program of China("973"Project)(Grant No.2012CB720405)the National Natural Science Foundation of China(Grant Nos.51176203 and 51206184)the Natural Science Foundation of Hubei Province(Grant No.2012FFB06905)
文摘Based on constructal theory and entransy theory,a generalized constructal optimization of a solidification heat transfer process of slab continuous casting for a specified total water flow rate in the secondary cooling zone was carried out.A complex function was taken as the optimization objective to perform the casting.The complex function was composed of the functions of the entransy dissipation and surface temperature gradient of the slab.The optimal water distribution at the sections of the secondary cooling zone were obtained.The effects of the total water flow rate in the secondary cooling zone,casting speed,superheat and water distribution on the generalized constructal optimizations of the secondary cooling process were analyzed.The results show that on comparing the optimization results obtained based on the optimal water distributions of the 8 sections in the secondary cooling zone with those based on the initial ones,the complex function and the functions of the entransy dissipation and surface temperature gradient after optimization decreased by 43.25%,5.90%and 80.60%,respectively.The quality and energy storage of the slab had obviously improved in this case.The complex function,composed of the functions of the entransy dissipation and surface temperature gradient of the slab,was a compromise between the internal and surface temperature gradients of the slab.Essentially,it is also the compromise between energy storage and quality of the slab.The"generalized constructal optimization"based on the minimum complex function can provide an optimal alternative scheme from the point of view of improving energy storage and quality for the parameter design and dynamic operation of the solidification heat transfer process of slab continuous casting.
基金supported by the National Natural Science Foundation of China(Nos.11031008,11471111)Guangdong Natural Science Foundation(No.2014A030307016)
文摘In this paper, the sharp distortion theorems of the Frechet-derivative type for a subclass of biholomorphic mappings which have a parametric representation on the unit ball of complex Banach spaces are established, and the corresponding results of the above generalized mappings on the unit polydisk in Cn are also given. Meanwhile, the sharp distortion theorems of the Jacobi determinant type for a subclass of biholomorphic mappings which have a parametric representation on the unit ball with an arbitrary norm in C~ are obtained, and the corresponding results of the above generalized mappings on the unit polydisk in C~ are got as well. Thus, some known results in prior literatures are generalized.
基金supported by the National Natural Science Foundation of China(Nos.11226066,11401155)Anhui Provincial Natural Science Foundation(No.1308085QA01)
文摘Abstract Denote by Qm the generalized quaternion group of order 4m. Let R(Qm) be its complex representation ring, and △(Qm) its augmentation ideal. In this paper, the author gives an explicit Z-basis for the △n(Qm) mid determines the isomorphism class of the n-th augmentation quotient for each positive integer n.