First,the properties of solutions of a typical second-order pendulum-like system with a specified nonlinear function were discussed.Then the case with a general form of nonlinearity is considered and its global proper...First,the properties of solutions of a typical second-order pendulum-like system with a specified nonlinear function were discussed.Then the case with a general form of nonlinearity is considered and its global properties were studied by using the qualitative theory of differential equations.As a result,sufficient conditions for estimating the critical damp are established,which improves the work by Leonov et al.展开更多
TheThe Second International Workshop on Geographical Information System(2nd IWGIS Beijing’90)was held recently in Beijing under the auspices of the Laboratory of Resources and Environment Information System(LREIS)and...TheThe Second International Workshop on Geographical Information System(2nd IWGIS Beijing’90)was held recently in Beijing under the auspices of the Laboratory of Resources and Environment Information System(LREIS)and cosponsorship of the Chinese Academy of Sciences,National Natural Science Foundation of China,National Remote Sensing Centre of China,Geographical Society of China,and International Development Research Centre of Canada(IDRC).展开更多
The use of functions, expressible in terms of Lucas polynomials of the second kind, allows us to write down the solution of linear dynamical systems—both in the discrete and continuous case—avoiding the Jordan...The use of functions, expressible in terms of Lucas polynomials of the second kind, allows us to write down the solution of linear dynamical systems—both in the discrete and continuous case—avoiding the Jordan canonical form of involved matrices. This improves the computational complexity of the algorithms used in literature.展开更多
In May of 2007,the second generation selected （SS） and control （SC） groups of pearl oyster Pinctada martensii were established by selecting 10% breeders with the largest and mean shell length,respectively,from the...In May of 2007,the second generation selected （SS） and control （SC） groups of pearl oyster Pinctada martensii were established by selecting 10% breeders with the largest and mean shell length,respectively,from the first generation selected group.Growth performance of the SS and SC groups were compared on the basis of measurement data at Days 8,18,60,95,195 and 365.On Day 365,100 individuals （60.0–75.0 mm at shell length） were sampled from each group and then subjected to the experiment where physiological parameters such as filtrate rate,oxygen consumption and ammonia excretion were measured at 15,20,25 and 30°C.The results show that the SS group had significantly larger mean shell length and shell height than the SC group at Days 8,18,60,95,195 and 365 （P 0.05）.The genetic gains at different ages varied from 6.0% to 17.0% for shell length and 5.7% to 14.6% for shell height,respectively.At 15,20,25 and 30 ° C,the SS groups had significantly larger filtrate rate than the SC group （P 0.05）.At 15 and 25 °C,the differences in oxygen consumption rate between the SS and SC groups were not significant （P 0.05）.At 20 and 30 °C,however,the oxygen consumption rate of the SS group was significantly larger than the SC group （P 0.05）.At 15,20,25 and 30 °C,there were no significant differences in ammonia excretion rate between the SS and SC groups （P 0.05）.The present results indicate that there existed considerable genetic variability in the base population and a further selection could be likely fruitful.Mass selection for faster growth might produce animals that had higher intake of metabolizable energy by virtue of faster filtrating behavior.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
In 2012, we published the first special issue on mechanisms of pain and itch in Neuroscience Bulletin, which covered the peripheral, central, and glial mechanisms of pain and itch [1-5]. In the last 5 years, the field...In 2012, we published the first special issue on mechanisms of pain and itch in Neuroscience Bulletin, which covered the peripheral, central, and glial mechanisms of pain and itch [1-5]. In the last 5 years, the field has seen tremendous progress in the molecular and functional characterization of primary sensory neurons [6, 7], neurocircuits of pain and itch [8-10], immune and glial modulation of pain and itch [11-15], molecular mechanisms of pain [16, 17], and identification of brain signatures of pain [18]. Thus, it is timely to highlight the recent progress in a second special issue. I invited the previous authors and new authors from China, the USA, and Japan, and they have contributed 20 mini-reviews and original articles to this special issue.展开更多
It is still a challenge to clarify the dependence of overall elastic properties of heterogeneous materials on the microstructures of non-elliposodal inhomogeneities （cracks, pores, foreign particles）. From the theor...It is still a challenge to clarify the dependence of overall elastic properties of heterogeneous materials on the microstructures of non-elliposodal inhomogeneities （cracks, pores, foreign particles）. From the theory of elasticity, the formulation of the perturbance elastic fields, coming from a non-ellipsoidal inhomogeneity embedded in an infinitely extended material with remote constant loading, inevitably involve one or more integral equations. Up to now, due to the mathematical difficulty, there is almost no explicit analytical solution obtained except for the ellipsoidal inhomo- geneity. In this paper, we point out the impossibility to trans- form this inhomogeneity problem into a conventional Eshelby problem by the equivalent inclusion method even if the eigenstrain is chosen to be non-uniform. We also build up an equivalent model, called the second Eshelby problem, to investigate the perturbance stress. It is probably a better template to make use of the profound methods and results of conventional Eshelby problems of non-ellipsoidal inclusions.展开更多
By combining of the second gradient operator, the second class of integral theorems, the Gaussian-curvature-based integral theorems and the Gaussian （or spherical） mapping, a series of invariants or geometric conser...By combining of the second gradient operator, the second class of integral theorems, the Gaussian-curvature-based integral theorems and the Gaussian （or spherical） mapping, a series of invariants or geometric conservation quantities under Gaussian （or spherical） mapping are revealed. From these mapping invariants important transformations between original curved surface and the spherical surface are derived. The potential applications of these invariants and transformations to geometry are discussed展开更多
The second phase particle dispersed in microalloyed steel has different effects on grain growth depending on their size and volume fiaction of the second phase particles which will change during welding thermal cycles...The second phase particle dispersed in microalloyed steel has different effects on grain growth depending on their size and volume fiaction of the second phase particles which will change during welding thermal cycles. The particle coarsening and dissolution kinetics model was analyzed for continuous heating and cooling. In addition, based on experimental data, the coupled equation of grain growth was established by introducing limited size of grain growth with the consideration of the second phase particles pinning effects. Using Monte Carlo method based on experimental data model, the grain growth simulation for heat-affected zone of microalloyed steel welds was achieved. The calculating results were well in agreement with that of experiments.展开更多
We introduce the higher-order type 2 Bernoulli numbers and polynomials of the second kind.In this paper,we investigate some identities and properties for them in connection with central factorial numbers of the second...We introduce the higher-order type 2 Bernoulli numbers and polynomials of the second kind.In this paper,we investigate some identities and properties for them in connection with central factorial numbers of the second kind and the higher-order type 2 Bernoulli polynomials.We give some relations between the higher-order type 2 Bernoulli numbers of the second kind and their conjugates.展开更多
The lifting scheme is a custom design construclion of Biorthogonal wavelets, a fast and efficient method to realize wavelet transform,which provides a wider range of application and efficiently reduces the computing t...The lifting scheme is a custom design construclion of Biorthogonal wavelets, a fast and efficient method to realize wavelet transform,which provides a wider range of application and efficiently reduces the computing time with its particular frame. This paper aims at introducing the second generation wavelets, begins with traditional Mallat algorithms, illustrates the lifting scheme and brings out the detail steps in the construction of Biorthogonal wavelets. Because of isolating the degrees of freedom remaining the biorthogonality relations, we can fully control over the lifting operators to design the wavelet for a particular application, such as increasing the number of the vanishing moments.展开更多
Objective： To explore the rules of the second metacarpal bone lateral needling in clinical application and its characteristics so as to provide the guidance to clinical practice.Methods： Taking ＂the second metacarp...Objective： To explore the rules of the second metacarpal bone lateral needling in clinical application and its characteristics so as to provide the guidance to clinical practice.Methods： Taking ＂the second metacarpal holographic acupuncture therapy＂ ＂the second metacarpal bone lateral needling＂ and ＂the second metacarpal bone＂ as the search terms, the papers on the second metacarpal bone lateral needling were retrieved from China National Knowledge Infrastructure（CNKI）and Wanfang database from January 1, 1974 to December 31, 2016 and were screened. Using the Excel2003, the database of the diseases treated by the second metacarpal bone lateral needling was set up.The indications, the acupoints selection rules and needling manipulation of this therapy were analyzed.Results： A total of 1103 papers were retrieved, of which, 446 papers were from CNKI and 657 from Wanfang database. According to the inclusion and exclusion criteria, 54 papers were included for analysis finally. It was found that the indications of the second metacarpal bone lateral needling were predominated by the soft tissue injuries, especially acute lumbar sprain, ankle sprain and knee joint injury. Regarding the acupoints selection rules of the second metacarpal bone lateral needling, the corresponding points and tender points were commonly selected. Regarding the needling manipulation, the strong stimulation was required after needle insertion and the patient was required to move the affected areas while keeping the strong needling sensation. The needles were inserted 20 mm in depth along the skin mainly.The even-needling technique was exerted and the needles were retained for 30 min mainly.Conclusion： The second metacarpal bone lateral needling is applied to the treatment of soft tissue injuries. It is applicable for some internal diseases. The strong needling sensation and the motion of the local affected area are required especially in treatment with this therapy.展开更多
Theories of the second reciprocal derivative chronopotentiometry analysis were deduced and experimentally verificated.Results in this study show that chronopotentiometry is significantly developed in both sensitivity ...Theories of the second reciprocal derivative chronopotentiometry analysis were deduced and experimentally verificated.Results in this study show that chronopotentiometry is significantly developed in both sensitivity and resolution for signals treated by the second reciprocal derivative.展开更多
The second Poincard kinematical group serves as one of new ones in addition to the known possible kinematics. The geometries with the second Poincard symmetry is presented and their properties are analyzed. On the geo...The second Poincard kinematical group serves as one of new ones in addition to the known possible kinematics. The geometries with the second Poincard symmetry is presented and their properties are analyzed. On the geometries, the new mechanics based on the principle of relativity with two universal constants （c, l） can be established.展开更多
In classical study on generalized viscoelastic fluid, the momentum equation was derived by considering the fractional constitutive model, while the energy equation was ignored its effect. This paper presents an invest...In classical study on generalized viscoelastic fluid, the momentum equation was derived by considering the fractional constitutive model, while the energy equation was ignored its effect. This paper presents an investigation for the magnetohydrodynamic(MHD) flow and heat transfer of an incompressible generalized Burgers' fluid due to an exponential accelerating plate with the effect of the second order velocity slip. The energy equation and momentum equation are coupled by the fractional Burgers' fluid constitutive model. Numerical solutions for velocity, temperature and shear stress are obtained using the modified implicit finite difference method combined with the G1-algorithm,whose validity is confirmed by the comparison with the analytical solution. Our results show that the influences of the fractional parameters α and β on the flow are opposite each other, which is just like the effects of the two parameters on the temperature. Moreover, the impact trends of the relaxation time λ_1 and retardation time λ_3 on the velocity are opposite each other. Increasing the boundary parameter will promote the temperature, but has little effect on the temperature boundary layer thickness.展开更多
文摘First,the properties of solutions of a typical second-order pendulum-like system with a specified nonlinear function were discussed.Then the case with a general form of nonlinearity is considered and its global properties were studied by using the qualitative theory of differential equations.As a result,sufficient conditions for estimating the critical damp are established,which improves the work by Leonov et al.
文摘TheThe Second International Workshop on Geographical Information System(2nd IWGIS Beijing’90)was held recently in Beijing under the auspices of the Laboratory of Resources and Environment Information System(LREIS)and cosponsorship of the Chinese Academy of Sciences,National Natural Science Foundation of China,National Remote Sensing Centre of China,Geographical Society of China,and International Development Research Centre of Canada(IDRC).
文摘The use of functions, expressible in terms of Lucas polynomials of the second kind, allows us to write down the solution of linear dynamical systems—both in the discrete and continuous case—avoiding the Jordan canonical form of involved matrices. This improves the computational complexity of the algorithms used in literature.
基金The National Key Technology R&D Program in the 11th Five Year Plan of China under contract No. 2007BAD29B01-2National Department Public Benefit Research Foundation under contract No. nyhyzx 07-048Guangdong Marine and Fishery Bureau under contract Nos A200708C01, A200908A02 and A200908A05
文摘In May of 2007,the second generation selected （SS） and control （SC） groups of pearl oyster Pinctada martensii were established by selecting 10% breeders with the largest and mean shell length,respectively,from the first generation selected group.Growth performance of the SS and SC groups were compared on the basis of measurement data at Days 8,18,60,95,195 and 365.On Day 365,100 individuals （60.0–75.0 mm at shell length） were sampled from each group and then subjected to the experiment where physiological parameters such as filtrate rate,oxygen consumption and ammonia excretion were measured at 15,20,25 and 30°C.The results show that the SS group had significantly larger mean shell length and shell height than the SC group at Days 8,18,60,95,195 and 365 （P 0.05）.The genetic gains at different ages varied from 6.0% to 17.0% for shell length and 5.7% to 14.6% for shell height,respectively.At 15,20,25 and 30 ° C,the SS groups had significantly larger filtrate rate than the SC group （P 0.05）.At 15 and 25 °C,the differences in oxygen consumption rate between the SS and SC groups were not significant （P 0.05）.At 20 and 30 °C,however,the oxygen consumption rate of the SS group was significantly larger than the SC group （P 0.05）.At 15,20,25 and 30 °C,there were no significant differences in ammonia excretion rate between the SS and SC groups （P 0.05）.The present results indicate that there existed considerable genetic variability in the base population and a further selection could be likely fruitful.Mass selection for faster growth might produce animals that had higher intake of metabolizable energy by virtue of faster filtrating behavior.
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）
文摘In 2012, we published the first special issue on mechanisms of pain and itch in Neuroscience Bulletin, which covered the peripheral, central, and glial mechanisms of pain and itch [1-5]. In the last 5 years, the field has seen tremendous progress in the molecular and functional characterization of primary sensory neurons [6, 7], neurocircuits of pain and itch [8-10], immune and glial modulation of pain and itch [11-15], molecular mechanisms of pain [16, 17], and identification of brain signatures of pain [18]. Thus, it is timely to highlight the recent progress in a second special issue. I invited the previous authors and new authors from China, the USA, and Japan, and they have contributed 20 mini-reviews and original articles to this special issue.
基金supported by the National Natural Science Foundation of China (10872086 and 11072105)
文摘It is still a challenge to clarify the dependence of overall elastic properties of heterogeneous materials on the microstructures of non-elliposodal inhomogeneities （cracks, pores, foreign particles）. From the theory of elasticity, the formulation of the perturbance elastic fields, coming from a non-ellipsoidal inhomogeneity embedded in an infinitely extended material with remote constant loading, inevitably involve one or more integral equations. Up to now, due to the mathematical difficulty, there is almost no explicit analytical solution obtained except for the ellipsoidal inhomo- geneity. In this paper, we point out the impossibility to trans- form this inhomogeneity problem into a conventional Eshelby problem by the equivalent inclusion method even if the eigenstrain is chosen to be non-uniform. We also build up an equivalent model, called the second Eshelby problem, to investigate the perturbance stress. It is probably a better template to make use of the profound methods and results of conventional Eshelby problems of non-ellipsoidal inclusions.
基金Project supported by the National Natural Science Foundation of China (No.10572076)
文摘By combining of the second gradient operator, the second class of integral theorems, the Gaussian-curvature-based integral theorems and the Gaussian （or spherical） mapping, a series of invariants or geometric conservation quantities under Gaussian （or spherical） mapping are revealed. From these mapping invariants important transformations between original curved surface and the spherical surface are derived. The potential applications of these invariants and transformations to geometry are discussed
文摘The second phase particle dispersed in microalloyed steel has different effects on grain growth depending on their size and volume fiaction of the second phase particles which will change during welding thermal cycles. The particle coarsening and dissolution kinetics model was analyzed for continuous heating and cooling. In addition, based on experimental data, the coupled equation of grain growth was established by introducing limited size of grain growth with the consideration of the second phase particles pinning effects. Using Monte Carlo method based on experimental data model, the grain growth simulation for heat-affected zone of microalloyed steel welds was achieved. The calculating results were well in agreement with that of experiments.
基金This work was supported by the National Research Foundation of Korea(NRF)Grant Funded by the Korea Government(No.2020R1F1A1A01071564).
文摘We introduce the higher-order type 2 Bernoulli numbers and polynomials of the second kind.In this paper,we investigate some identities and properties for them in connection with central factorial numbers of the second kind and the higher-order type 2 Bernoulli polynomials.We give some relations between the higher-order type 2 Bernoulli numbers of the second kind and their conjugates.
基金Supported by the National Natural Science Foun-dation of China(10101018)
文摘The lifting scheme is a custom design construclion of Biorthogonal wavelets, a fast and efficient method to realize wavelet transform,which provides a wider range of application and efficiently reduces the computing time with its particular frame. This paper aims at introducing the second generation wavelets, begins with traditional Mallat algorithms, illustrates the lifting scheme and brings out the detail steps in the construction of Biorthogonal wavelets. Because of isolating the degrees of freedom remaining the biorthogonality relations, we can fully control over the lifting operators to design the wavelet for a particular application, such as increasing the number of the vanishing moments.
基金Supported by National Natural Science Foundation of China:Nos.81072883,81173342,81473773Youth Science and Research Foundation of Hebei University of Traditional Chinese Medicine:QNZ2015014~~
文摘Objective： To explore the rules of the second metacarpal bone lateral needling in clinical application and its characteristics so as to provide the guidance to clinical practice.Methods： Taking ＂the second metacarpal holographic acupuncture therapy＂ ＂the second metacarpal bone lateral needling＂ and ＂the second metacarpal bone＂ as the search terms, the papers on the second metacarpal bone lateral needling were retrieved from China National Knowledge Infrastructure（CNKI）and Wanfang database from January 1, 1974 to December 31, 2016 and were screened. Using the Excel2003, the database of the diseases treated by the second metacarpal bone lateral needling was set up.The indications, the acupoints selection rules and needling manipulation of this therapy were analyzed.Results： A total of 1103 papers were retrieved, of which, 446 papers were from CNKI and 657 from Wanfang database. According to the inclusion and exclusion criteria, 54 papers were included for analysis finally. It was found that the indications of the second metacarpal bone lateral needling were predominated by the soft tissue injuries, especially acute lumbar sprain, ankle sprain and knee joint injury. Regarding the acupoints selection rules of the second metacarpal bone lateral needling, the corresponding points and tender points were commonly selected. Regarding the needling manipulation, the strong stimulation was required after needle insertion and the patient was required to move the affected areas while keeping the strong needling sensation. The needles were inserted 20 mm in depth along the skin mainly.The even-needling technique was exerted and the needles were retained for 30 min mainly.Conclusion： The second metacarpal bone lateral needling is applied to the treatment of soft tissue injuries. It is applicable for some internal diseases. The strong needling sensation and the motion of the local affected area are required especially in treatment with this therapy.
基金Project supported by the Natural Science Foundation of the Education Committee of Hunan Province.
文摘Theories of the second reciprocal derivative chronopotentiometry analysis were deduced and experimentally verificated.Results in this study show that chronopotentiometry is significantly developed in both sensitivity and resolution for signals treated by the second reciprocal derivative.
基金Supported by the National Natural Science Foundation of China under Grant Nos. 10775140,10705048,10731080,10975141,11175245,11075206the President Fund of GUCASthe Fundamental Research Funds for the Central Universities under Grant No. 105116
文摘The second Poincard kinematical group serves as one of new ones in addition to the known possible kinematics. The geometries with the second Poincard symmetry is presented and their properties are analyzed. On the geometries, the new mechanics based on the principle of relativity with two universal constants （c, l） can be established.
基金Supported by the National Natural Science Foundations of China under Grant Nos.21576023,51406008the National Key Research Program of China under Grant Nos.2016YFC0700601,2016YFC0700603,and 2016YFE0115500
文摘In classical study on generalized viscoelastic fluid, the momentum equation was derived by considering the fractional constitutive model, while the energy equation was ignored its effect. This paper presents an investigation for the magnetohydrodynamic(MHD) flow and heat transfer of an incompressible generalized Burgers' fluid due to an exponential accelerating plate with the effect of the second order velocity slip. The energy equation and momentum equation are coupled by the fractional Burgers' fluid constitutive model. Numerical solutions for velocity, temperature and shear stress are obtained using the modified implicit finite difference method combined with the G1-algorithm,whose validity is confirmed by the comparison with the analytical solution. Our results show that the influences of the fractional parameters α and β on the flow are opposite each other, which is just like the effects of the two parameters on the temperature. Moreover, the impact trends of the relaxation time λ_1 and retardation time λ_3 on the velocity are opposite each other. Increasing the boundary parameter will promote the temperature, but has little effect on the temperature boundary layer thickness.
