Two new analytical formulae expressing explicitly the derivatives of Chebyshev polynomials of the third and fourth kinds of any degree and of any order in terms of Chebyshev polynomials of the third and fourth kinds t...Two new analytical formulae expressing explicitly the derivatives of Chebyshev polynomials of the third and fourth kinds of any degree and of any order in terms of Chebyshev polynomials of the third and fourth kinds themselves are proved. Two other explicit formulae which express the third and fourth kinds Chebyshev expansion coefficients of a general-order derivative of an infinitely differentiable function in terms of their original expansion coefficients are also given. Two new reduction formulae for summing some terminating hypergeometric functions of unit argument are deduced. As an application of how to use Chebyshev polynomials of the third and fourth kinds for solving high-order boundary value problems, two spectral Galerkin numerical solutions of a special linear twelfth-order boundary value problem are given.展开更多
Three kinds of 'films' i.e. cross-linked film, grainy film and transparent film, wereobtained in the process of plasma polymerization of Octamethylcyclotetrasioxane(D4) under dif-ferent conditions. From SEM ph...Three kinds of 'films' i.e. cross-linked film, grainy film and transparent film, wereobtained in the process of plasma polymerization of Octamethylcyclotetrasioxane(D4) under dif-ferent conditions. From SEM photos, we can see that the cross-linked film has a network form.From XPS spectra, we can see that the content of Si-C bond of the cross-linked film is lower thanthat of the transparent film, and this result agrees well with the test results of FTIR spectra. Thisproves that the c1eavage of the Si-C bond and C-H bond are the main cleavage in the formationof cross-linked film, whereas the cleavage of the Si-O is the main cleavage in the formation oftransparent film. In order to enhance the collision of the reactive particles and investigate theinfluence of magnetic field on the plasma polymerization, we introduced the magnetic field, as aresult, we got the grainy film.展开更多
In this paper, the relationships between the region of the two coexisting kinds of macro-defects and the reduction in area, as well as between the region and the relative residual thickness of the billet are studied f...In this paper, the relationships between the region of the two coexisting kinds of macro-defects and the reduction in area, as well as between the region and the relative residual thickness of the billet are studied for the cup-cup axisymmetric combined extrusion, on the basis of the analytical expression obtained by the upper-bound approach. The presented model and conclusions are confirmed by the experimental results in this paper.展开更多
To protect the ecological balance and the environment for our existence, China has organized the projects to Rescue Seven Kinds of Animals, the panda, ibis, Yangtze crocodile, Hainan deer, David’s deer, big nosed ant...To protect the ecological balance and the environment for our existence, China has organized the projects to Rescue Seven Kinds of Animals, the panda, ibis, Yangtze crocodile, Hainan deer, David’s deer, big nosed antelop, and wild horse which are in imminent danger. Panda protection project. From 1992 to the year 2000, 14 panda reserves will be established, covering 4,242 sq km, including 2,479 sq km for the habitation of pandas. The construction and management of the. 13 existing panda reserves will be improved, covering 5,380 sq kin. And 17 new reserve corridors will be set up and 32 stations will be built in展开更多
With the help of the method that combines the first kind of elliptic equation with the function transformation, some kinds of new composite solutions of a kind of coupled Schr?dinger equation are constructed. First, a...With the help of the method that combines the first kind of elliptic equation with the function transformation, some kinds of new composite solutions of a kind of coupled Schr?dinger equation are constructed. First, a kind of function transformation is presented, and then the problem of solving solutions of a kind of coupled Schr?dinger equation can be changed to the problem of solving solutions of the first kind of elliptic equation. Then, with the help of the conclusions of the B?cklund transformation and so on of the first kind of elliptic equation, the new infinite sequence composite solutions of a kind of coupled Schr?dinger equation are constructed. These solutions are consisting of two-soliton solutions and two-period solutions and so on.展开更多
It is reported from NRCCRM (the National Research Center for CRMs) that, China has presently developed 1262 kinds of grade A reference materials and 1739 grade B reference materials, involving the fields of the steel,...It is reported from NRCCRM (the National Research Center for CRMs) that, China has presently developed 1262 kinds of grade A reference materials and 1739 grade B reference materials, involving the fields of the steel, the geology, the petroleum, the nuclear material, the environment, the food and the clinical inspection,and etc. The reference materials play an important role in controlling the production quality, maintaining the market order and promoting the scientific and technological advancement.展开更多
Objective To evaluate and compare 3 kinds of cecocloln urinary reservoir. Methods Perm pouch, indiana pouch or detenial cecocolon reservoir has been performed for 37 patients. The outcome was evaluated by urodynamic a...Objective To evaluate and compare 3 kinds of cecocloln urinary reservoir. Methods Perm pouch, indiana pouch or detenial cecocolon reservoir has been performed for 37 patients. The outcome was evaluated by urodynamic and clinically. Results Good continence has been achieved in all patients with an appendiceal continence mechanism. The capacity and intrareservoir pressure of detenial cecocolon was significantly different from penn or indiana pouch 3 months postoperatively (P【0.01) whereas the difference became in no significant 12 months postoperativelly (P】0. 05). The intrareservoir pressure on contraction was lower with penn pouch. Conclusion The penn or modified indiana pouch is better and more ideal as a urinary reservoir whereas the detenial cecocolon pouch is technically simpler. 6 refs,1 tab.展开更多
To compare and evaluate 3 kinds of treatments of pediatric closed femoral shaft fractures.Methods Seventy-nine patients were divided into 3 groups and treated using hip spica casting after skeletal traction,unilateral...To compare and evaluate 3 kinds of treatments of pediatric closed femoral shaft fractures.Methods Seventy-nine patients were divided into 3 groups and treated using hip spica casting after skeletal traction,unilateral multifunctional fixation and plate fixation.The result were evaluated according to clinical function,time to union,complications,radiology examination and the economic cost.Results Both time to union and economic cost of the external fixation group were shorter than that of the skeletal traction group and plate fixation group.Conclusion The unilateral multi-functional external fixation is an ideal solution to pediatric close femoral shaft fractures.7 refs,3 tabs.展开更多
To investigate the impact of different kinds of nerve injuries of early-stage fracture healing.Methods Three groups of rats were included in the experiment among which group 1 was inflicted with femoral fracture and T...To investigate the impact of different kinds of nerve injuries of early-stage fracture healing.Methods Three groups of rats were included in the experiment among which group 1 was inflicted with femoral fracture and T10 spinal cord transsection (SCI),group 2 was inflicted with femoral and peripheral nerve resection (PNR),and group 3 with simple femoral fracture as control group.Two weeks after operation the femoral bones were collected for X-ray checking and 2 more weeks later X-ray checking was performed again followed by pathomorphologic exams.Results X-ray result showed no massive calluses in the bones in the 2nd week postoperatively,while in the 4th week,callus appeared with larger size in group 3 than that of group 1 and with smaller size than that of group 2.It was the same with the result of pathomorphologic examining.Cortical bone bridges between fracture point and osteiod were also found in group 2 and there were less normal blood vessels and worse bone remodeling than that of group 3.There were relatively immature calluses with more fibroblast-like cells and disordered bone structure in group 2.Group 3 showed normal healing process and callus structure.Conclusion Early-stage bone fracture healing can be influenced significantly by different kinds of nerve injuries.6 refs,6 figs.展开更多
Recently Brutman and Passow considered Newman-type rational interpolation to ｜x｜ induced by arbitrary set of symmetric nodes in [-1,1] and gave the general estimation of the approximation error.By their methods one ...Recently Brutman and Passow considered Newman-type rational interpolation to ｜x｜ induced by arbitrary set of symmetric nodes in [-1,1] and gave the general estimation of the approximation error.By their methods one could establish the exact order of approximation for some special nodes. In the present paper we consider the special case where the interpolation nodes are the zeros of the Chebyshev polynomial of the second kind and prove that in this case the exact order of approximation is O（1/n｜nn）展开更多
This paper introduces two new types of precise integration methods based on Chebyshev polynomial of the first kind for dynamic response analysis of structures, namely the integral formula method （IFM） and the homoge...This paper introduces two new types of precise integration methods based on Chebyshev polynomial of the first kind for dynamic response analysis of structures, namely the integral formula method （IFM） and the homogenized initial system method （HISM）. In both methods, nonlinear variable loadings within time intervals are simulated using Chebyshev polynomials of the first kind before a direct integration is performed. Developed on the basis of the integral formula, the recurrence relationship of the integral computation suggested in this paper is combined with the Crout decomposed method to solve linear algebraic equations. In this way, the IFM based on Chebyshev polynomial of the first kind is constructed. Transforming the non-homogenous initial system to the homogeneous dynamic system, and developing a special scheme without dimensional expansion, the HISM based on Chebyshev polynomial of the first kind is able to avoid the matrix inversion operation. The accuracy of the time integration schemes is examined and compared with other commonly used schemes, and it is shown that a greater accuracy as well as less time consuming can be achieved. Two numerical examples are presented to demonstrate the applicability of these new methods.展开更多
In this paper, we suggest a method for solving Fredholm integral equation of the first kind based on wavelet basis. The continuous Legendre and Chebyshev wavelets of the first, second, third and fourth kind on [0,1] a...In this paper, we suggest a method for solving Fredholm integral equation of the first kind based on wavelet basis. The continuous Legendre and Chebyshev wavelets of the first, second, third and fourth kind on [0,1] are used and are utilized as a basis in Galerkin method to approximate the solution of integral equations. Then, in some examples the mentioned wavelets are compared with each other.展开更多
In this work, with the help of the symbolic computation system Maple and the Riccati mapping approach and a linear variable separation approach, a new family of traveling wave solutions of the (2 + 1)-dimensional diss...In this work, with the help of the symbolic computation system Maple and the Riccati mapping approach and a linear variable separation approach, a new family of traveling wave solutions of the (2 + 1)-dimensional dissipative Zabolotskaya-Khokhlov equation (DZK) is derived. Based on the derived solitary wave solution, some novel kind wave excitations are investigated.展开更多
In this paper we develop two multilevel iteration methods for solving linear systems resulting from the Galerkin method and Tikhonov regularization for linear ill-posed problems. The two algorithms and their convergen...In this paper we develop two multilevel iteration methods for solving linear systems resulting from the Galerkin method and Tikhonov regularization for linear ill-posed problems. The two algorithms and their convergence analyses are presented in an abstract framework.展开更多
文摘Two new analytical formulae expressing explicitly the derivatives of Chebyshev polynomials of the third and fourth kinds of any degree and of any order in terms of Chebyshev polynomials of the third and fourth kinds themselves are proved. Two other explicit formulae which express the third and fourth kinds Chebyshev expansion coefficients of a general-order derivative of an infinitely differentiable function in terms of their original expansion coefficients are also given. Two new reduction formulae for summing some terminating hypergeometric functions of unit argument are deduced. As an application of how to use Chebyshev polynomials of the third and fourth kinds for solving high-order boundary value problems, two spectral Galerkin numerical solutions of a special linear twelfth-order boundary value problem are given.
文摘Three kinds of 'films' i.e. cross-linked film, grainy film and transparent film, wereobtained in the process of plasma polymerization of Octamethylcyclotetrasioxane(D4) under dif-ferent conditions. From SEM photos, we can see that the cross-linked film has a network form.From XPS spectra, we can see that the content of Si-C bond of the cross-linked film is lower thanthat of the transparent film, and this result agrees well with the test results of FTIR spectra. Thisproves that the c1eavage of the Si-C bond and C-H bond are the main cleavage in the formationof cross-linked film, whereas the cleavage of the Si-O is the main cleavage in the formation oftransparent film. In order to enhance the collision of the reactive particles and investigate theinfluence of magnetic field on the plasma polymerization, we introduced the magnetic field, as aresult, we got the grainy film.
文摘In this paper, the relationships between the region of the two coexisting kinds of macro-defects and the reduction in area, as well as between the region and the relative residual thickness of the billet are studied for the cup-cup axisymmetric combined extrusion, on the basis of the analytical expression obtained by the upper-bound approach. The presented model and conclusions are confirmed by the experimental results in this paper.
文摘To protect the ecological balance and the environment for our existence, China has organized the projects to Rescue Seven Kinds of Animals, the panda, ibis, Yangtze crocodile, Hainan deer, David’s deer, big nosed antelop, and wild horse which are in imminent danger. Panda protection project. From 1992 to the year 2000, 14 panda reserves will be established, covering 4,242 sq km, including 2,479 sq km for the habitation of pandas. The construction and management of the. 13 existing panda reserves will be improved, covering 5,380 sq kin. And 17 new reserve corridors will be set up and 32 stations will be built in
基金supported by the Natural Natural Science Foundation of China(Grant No.11361040)the Science Research Foundation of Institution of Higher Education of Inner Mongolia Autonomous Region,China(Grant No.NJZY12031)the Natural Science Foundation of Inner Mongolia Autonomous Region,China(Grant No.2015MS0128).
文摘With the help of the method that combines the first kind of elliptic equation with the function transformation, some kinds of new composite solutions of a kind of coupled Schr?dinger equation are constructed. First, a kind of function transformation is presented, and then the problem of solving solutions of a kind of coupled Schr?dinger equation can be changed to the problem of solving solutions of the first kind of elliptic equation. Then, with the help of the conclusions of the B?cklund transformation and so on of the first kind of elliptic equation, the new infinite sequence composite solutions of a kind of coupled Schr?dinger equation are constructed. These solutions are consisting of two-soliton solutions and two-period solutions and so on.
文摘It is reported from NRCCRM (the National Research Center for CRMs) that, China has presently developed 1262 kinds of grade A reference materials and 1739 grade B reference materials, involving the fields of the steel, the geology, the petroleum, the nuclear material, the environment, the food and the clinical inspection,and etc. The reference materials play an important role in controlling the production quality, maintaining the market order and promoting the scientific and technological advancement.
文摘Objective To evaluate and compare 3 kinds of cecocloln urinary reservoir. Methods Perm pouch, indiana pouch or detenial cecocolon reservoir has been performed for 37 patients. The outcome was evaluated by urodynamic and clinically. Results Good continence has been achieved in all patients with an appendiceal continence mechanism. The capacity and intrareservoir pressure of detenial cecocolon was significantly different from penn or indiana pouch 3 months postoperatively (P【0.01) whereas the difference became in no significant 12 months postoperativelly (P】0. 05). The intrareservoir pressure on contraction was lower with penn pouch. Conclusion The penn or modified indiana pouch is better and more ideal as a urinary reservoir whereas the detenial cecocolon pouch is technically simpler. 6 refs,1 tab.
文摘To compare and evaluate 3 kinds of treatments of pediatric closed femoral shaft fractures.Methods Seventy-nine patients were divided into 3 groups and treated using hip spica casting after skeletal traction,unilateral multifunctional fixation and plate fixation.The result were evaluated according to clinical function,time to union,complications,radiology examination and the economic cost.Results Both time to union and economic cost of the external fixation group were shorter than that of the skeletal traction group and plate fixation group.Conclusion The unilateral multi-functional external fixation is an ideal solution to pediatric close femoral shaft fractures.7 refs,3 tabs.
文摘To investigate the impact of different kinds of nerve injuries of early-stage fracture healing.Methods Three groups of rats were included in the experiment among which group 1 was inflicted with femoral fracture and T10 spinal cord transsection (SCI),group 2 was inflicted with femoral and peripheral nerve resection (PNR),and group 3 with simple femoral fracture as control group.Two weeks after operation the femoral bones were collected for X-ray checking and 2 more weeks later X-ray checking was performed again followed by pathomorphologic exams.Results X-ray result showed no massive calluses in the bones in the 2nd week postoperatively,while in the 4th week,callus appeared with larger size in group 3 than that of group 1 and with smaller size than that of group 2.It was the same with the result of pathomorphologic examining.Cortical bone bridges between fracture point and osteiod were also found in group 2 and there were less normal blood vessels and worse bone remodeling than that of group 3.There were relatively immature calluses with more fibroblast-like cells and disordered bone structure in group 2.Group 3 showed normal healing process and callus structure.Conclusion Early-stage bone fracture healing can be influenced significantly by different kinds of nerve injuries.6 refs,6 figs.
基金Supported by the National Nature Science Foundation.
文摘Recently Brutman and Passow considered Newman-type rational interpolation to ｜x｜ induced by arbitrary set of symmetric nodes in [-1,1] and gave the general estimation of the approximation error.By their methods one could establish the exact order of approximation for some special nodes. In the present paper we consider the special case where the interpolation nodes are the zeros of the Chebyshev polynomial of the second kind and prove that in this case the exact order of approximation is O（1/n｜nn）
基金Hunan Provincial Natural Science Foundation Under Grant No.02JJY2085
文摘This paper introduces two new types of precise integration methods based on Chebyshev polynomial of the first kind for dynamic response analysis of structures, namely the integral formula method （IFM） and the homogenized initial system method （HISM）. In both methods, nonlinear variable loadings within time intervals are simulated using Chebyshev polynomials of the first kind before a direct integration is performed. Developed on the basis of the integral formula, the recurrence relationship of the integral computation suggested in this paper is combined with the Crout decomposed method to solve linear algebraic equations. In this way, the IFM based on Chebyshev polynomial of the first kind is constructed. Transforming the non-homogenous initial system to the homogeneous dynamic system, and developing a special scheme without dimensional expansion, the HISM based on Chebyshev polynomial of the first kind is able to avoid the matrix inversion operation. The accuracy of the time integration schemes is examined and compared with other commonly used schemes, and it is shown that a greater accuracy as well as less time consuming can be achieved. Two numerical examples are presented to demonstrate the applicability of these new methods.
文摘In this paper, we suggest a method for solving Fredholm integral equation of the first kind based on wavelet basis. The continuous Legendre and Chebyshev wavelets of the first, second, third and fourth kind on [0,1] are used and are utilized as a basis in Galerkin method to approximate the solution of integral equations. Then, in some examples the mentioned wavelets are compared with each other.
文摘In this work, with the help of the symbolic computation system Maple and the Riccati mapping approach and a linear variable separation approach, a new family of traveling wave solutions of the (2 + 1)-dimensional dissipative Zabolotskaya-Khokhlov equation (DZK) is derived. Based on the derived solitary wave solution, some novel kind wave excitations are investigated.
基金The NSF(0611005)of Jiangxi Province and the SF(2007293)of Jiangxi Provincial Education Department.
文摘In this paper we develop two multilevel iteration methods for solving linear systems resulting from the Galerkin method and Tikhonov regularization for linear ill-posed problems. The two algorithms and their convergence analyses are presented in an abstract framework.
