In the first part of the present paper we have explained why we manage to formulate another wave prediction model when so many of them, including the so-called third generation model, have already been in use. The win...In the first part of the present paper we have explained why we manage to formulate another wave prediction model when so many of them, including the so-called third generation model, have already been in use. The wind-wave part of the proposed model has also been given. Now we proceed to discuss the swell part,the implementation of the model as a prediction method,mumerical experiments done with ideal wind fields and hindcasts made in the Bohai Sea,in the neighboring seas adjacent to China and in the Northwest Pacific.展开更多
-The model's physical equation is used to parameterize some subgrid-scale processes and physical processes in the present numerical model. The transmission and attenuation of the solar energy in the ocean are cons...-The model's physical equation is used to parameterize some subgrid-scale processes and physical processes in the present numerical model. The transmission and attenuation of the solar energy in the ocean are considered. A simple diagnostic equation for the cloud fractions k proposed on the basis of the humidities at the surface and the mid-troposphere. The parameterized formulae of both entrainment and Ekman pumping are improved.In the numerical integration, the treatment on damping the inertial oscillations is emphasized. The initialization and the objective analysis of the data which are necessary for the operational prediction will be presented in another paper.Results of SST prediction and some numerical experiments are given here. The model is computationally stable and successful in modelling the behaviors of the drift current and the mixed layer physics, and the AMD (absolute mean deviations) ≤1. 2℃ , RC (correlation coefficients ) ≥85% for 3-day forecasting.展开更多
A metal-semiconductor composite with the interracial shells is investigated theoretically for the large linear mag- netoresistance effect of high doping Ag2＋δ Se and Ag2＋δ te materials. The magnetoresistance （MR...A metal-semiconductor composite with the interracial shells is investigated theoretically for the large linear mag- netoresistance effect of high doping Ag2＋δ Se and Ag2＋δ te materials. The magnetoresistance （MR） of composites is a function of the magnetic field, temperature, the conductivities of two phases without magnetic field, and the thickness and conductivity of the interracial shells. The MR increases with the increase of the magnetic field and with the decrease of temperature, and no saturation is found even under the high magnetic field. Moreover, it is interestingly found that the interracial shell is an important factor for the MR of the composites. The MR increases with the thickness and the conductivity of the interfacial shells. Lastly, the theoretical results on the MR are compared with the experimental data. It is found that the value of the MR of the composite with the interfacial shell is larger than that without the interfacial shell.展开更多
While achieving successes,the neoliberalist economic development model hasalso given rise to a series of grave problems,especially problem of social injusticeand polarization,which have begun to threaten Latin America...While achieving successes,the neoliberalist economic development model hasalso given rise to a series of grave problems,especially problem of social injusticeand polarization,which have begun to threaten Latin America’s social security andstability.展开更多
In this research, LINGO is used successfully to solve the water supply system′s optimal operation model. Firstly, the language of LINGO and the using method were studied intensively, on the basis of which the model w...In this research, LINGO is used successfully to solve the water supply system′s optimal operation model. Firstly, the language of LINGO and the using method were studied intensively, on the basis of which the model was transformed to LINGO form and solved successfully. Secondly, the research on the interface between LINGO and the popular office software was made. The optimization software was developed, which had Excel as the workspace and LINGO as the core of computation. Through practice, this software was found stable, easy to use and suitable for the application to the water supply corporations.展开更多
In this paper, a finite difference scheme for the linear and nonlinear models of wheezes are given. The stability of the finite difference scheme for the linear model is obtained by using of von Neumann method. Moreov...In this paper, a finite difference scheme for the linear and nonlinear models of wheezes are given. The stability of the finite difference scheme for the linear model is obtained by using of von Neumann method. Moreover, the convergence and stability of the finite difference scheme for the nonlinear model are studied by the energy inequalities method. By some numerical computations, the relationships between angular frequency and wall position, fluid speed and amplitude are discussed. Finally, the author shows that the numerical results are coincided with Grotberg's theoretical results.展开更多
Vietnam has a 4000-year old traditional system of pharmaco-medicine which was founded during the Hung King era （2879-257 B.C.）. Vietnamese traditional medicine （TM） came from the society and was developed during t...Vietnam has a 4000-year old traditional system of pharmaco-medicine which was founded during the Hung King era （2879-257 B.C.）. Vietnamese traditional medicine （TM） came from the society and was developed during the long years of living, working and struggling for existence among the Vietnamese people among 54 ethnic groups under extremely severe natural conditions, conflicts, and interaction with local neighboring nations such as China, Laos, Cambodia, india, etc. All of those form the foundations to shape the diversity, abundance and specialty of Vietnamese TM. Valuable experiences in TM have been transmitted from generation to generation, which is an important part of Vietnamese culture.展开更多
When acquaintances of a model are little or the model is too complicate to build by using traditional time series methods, it is convenient for us to take advantage of genetic programming (GP) to build the model. Cons...When acquaintances of a model are little or the model is too complicate to build by using traditional time series methods, it is convenient for us to take advantage of genetic programming (GP) to build the model. Considering the complexity of nonlinear dynamic systems, this paper proposes modeling dynamic systems by using the nonlinear difference e-quation based on GP technique. First it gives the method, criteria and evaluation of modeling. Then it describes the modeling algorithm using GP. Finally two typical examples of time series are used to perform the numerical experiments. The result shows that this algorithm can successfully establish the difference equation model of dynamic systems and its predictive result is also satisfactory.展开更多
For nonparabolic dispersion law is determined by the density of the energy states (Ns) in a quantizing magnetic field. The effect of temperature on the expansion of the Lan-dau levels of electrons semiconductors with ...For nonparabolic dispersion law is determined by the density of the energy states (Ns) in a quantizing magnetic field. The effect of temperature on the expansion of the Lan-dau levels of electrons semiconductors with the nonquadratic dispersion is studied. The density of states at low temperatures is calculated from data on high-tem- perature Ns.展开更多
In a teaching experiment, Japanese Grade 9 students investigated how to measure the height of an aerial balloon using different models involving angles and distances, and also to evaluate the models they developed. As...In a teaching experiment, Japanese Grade 9 students investigated how to measure the height of an aerial balloon using different models involving angles and distances, and also to evaluate the models they developed. As novices to mathematical modelling, they needed to decide which of several possible models were both valid and practicable, and the errors in measurement that are likely to arise. Opportunities to construct and use paper models, as scale reductions of the real situation, and discussing their results in small groups were effective in moving forward the thinking of many students on the dimensions mentioned above. While students were less able to identify different sources of errors, many came to appreciate the need to learn trigonometric techniques that are more suitable in dealing with problems of this kind.展开更多
A GPS baseline solution model is presented,based on the Empirical Mode Decomposition(EMD),which has the advan- tage of eliminating the error effects outside the model.The EMD technique is a new signal processing metho...A GPS baseline solution model is presented,based on the Empirical Mode Decomposition(EMD),which has the advan- tage of eliminating the error effects outside the model.The EMD technique is a new signal processing method for non-linear time series,which decomposes a time series into a finite and often small number of Intrinsic Mode Functions(IMFs).The decomposition procedure is adaptive and data-driven which is suitable for non-linear data series analysis.A multi-scale decomposition and recon- struction architecture is defined on the basis of the EMD theory and the error mitigation model is demonstrated as well.A standard of the scale selection for the elimination of errors,outside the model,was given in terms of the mean of the accumulated standard- ized modes.Thereafter,the scheme of the GPS baseline solution based on the EMD is suggested.The float solution residuals of the Double-Difference(DD)observation equation are used to extract the errors outside the model applied to modify the GPS DD measurements.Then the float solution was given again and the fixed solution was obtained by a Lambda algorithm.Three schemes are designed to test the proposed model and the experimental results show that the proposed model dramatically improves the reli- ability of ambiguity resolution after the elimination of errors outside the model.展开更多
In this paper, we consider the model for the survival of red blood ceels with several delaysdN(t)dt=-μ N(t)+m i=1 P ie -r iN(t-τ i) , t≥ 0 (*) and establish a sufficient condition under which the posit...In this paper, we consider the model for the survival of red blood ceels with several delaysdN(t)dt=-μ N(t)+m i=1 P ie -r iN(t-τ i) , t≥ 0 (*) and establish a sufficient condition under which the positive equilibrium N * of (*) is a global attractor. Our criteria generalize and improve the correspondent results obtained in .展开更多
COVID-19 epidemic models with constant transmission rate cannot capture the patterns of the infection data in the presence of pharmaceutical and non-pharmaceutical interventions during a pandemic.Because of this,a new...COVID-19 epidemic models with constant transmission rate cannot capture the patterns of the infection data in the presence of pharmaceutical and non-pharmaceutical interventions during a pandemic.Because of this,a new modification of SIR model that contain the vaccination compartment with time dependent coefficients and weak/lossimmunity is explored.Literature review confirms that the effect of vaccination on the time dependent transmission rate is still an open problem.This study answers this open problem.In this study,we first prove the well-posedness and investigate the model dynamics to show their continuous dependence on the model parameters.We then provide an algorithm to derive the time-dependent transmission function for the epidemiologic model and the data of the infected cases.The derived coupled nonlinear differential equations show the effect of vaccination on the transmission rate.Unlike previous studies,we first filter the published data and solve the nonlinear coupled differential equations using the finite difference technique,where the coefficient of the coupled nonlinear differential equations is a function of given data.We then show that time-dependent transmission function can be represented by linear combinations of Gaussian radial base function.We then validate the prediction of our models using numerical simulations,where we used the published data of COVID-19 confirmed cases by the Ministries of Health in Saudi Arabia and Poland.Finally,the numerical solutions of a SIRVI model with time dependent transmission rate show that the waves for currently active cases are in good agreement with the data of Saudi Arabia and Poland.展开更多
The Accelerated Hermitian/skew-Hermitian type Richardson(AHSR)iteration methods are presented for solving non-Hermitian positive definite linear systems with three schemes,by using Anderson mixing.The upper bounds of ...The Accelerated Hermitian/skew-Hermitian type Richardson(AHSR)iteration methods are presented for solving non-Hermitian positive definite linear systems with three schemes,by using Anderson mixing.The upper bounds of spectral radii of iteration matrices are studied,and then the convergence theories of the AHSR iteration methods are established.Furthermore,the optimal iteration parameters are provided,which can be computed exactly.In addition,the application to the model convection-diffusion equation is depicted and numerical experiments are conducted to exhibit the effectiveness and confirm the theoretical analysis of the AHSR iteration methods.展开更多
A popular explicit analytic Borowy 2C PV module model is proposed for power generation prediction.The maximum power point and the open-circuit point which are calculated in this model cannot be equal to the data given...A popular explicit analytic Borowy 2C PV module model is proposed for power generation prediction.The maximum power point and the open-circuit point which are calculated in this model cannot be equal to the data given by manufacturers under standard test condition(STC).The derivation of this model has never been mentioned in any literatures.The parameter forms of 2C model in this paper are more simplified,and the model is decomposed into a STC sub-model and an incremental sub-model.The STC model is derived successfully from an ideal single-diode circuit model.Relative error estimations are developed to do the conformity error measurements.The analysis results showed that though the biases at those critical points are very small,the conformity will depend on both of the two ratio values I_(m)/I_(sc) and V_(m)/V_(oc),which can be used to verify whether 2C model is applicable for the PV module produced by a particular manufacturer.展开更多
The equilibrium and kinetic characteristics of the adsorption of erythromycin to Sepabeads SP825 were determined.The equilibrium data in a batch system was well described by a Langmuir isotherm.The separation performa...The equilibrium and kinetic characteristics of the adsorption of erythromycin to Sepabeads SP825 were determined.The equilibrium data in a batch system was well described by a Langmuir isotherm.The separation performance was investigated in a fixed-bed system with respect to the adsorption superficial velocity,ionic strength and pH.A mathematical model was used to simulate the mass transfer mechanism,taking film mass transfer,pore diffusion and axial dispersion into account.The model predictions were consistent with the experi-mental data and were consequently used to determine the mass transfer coefficients.展开更多
文摘In the first part of the present paper we have explained why we manage to formulate another wave prediction model when so many of them, including the so-called third generation model, have already been in use. The wind-wave part of the proposed model has also been given. Now we proceed to discuss the swell part,the implementation of the model as a prediction method,mumerical experiments done with ideal wind fields and hindcasts made in the Bohai Sea,in the neighboring seas adjacent to China and in the Northwest Pacific.
文摘-The model's physical equation is used to parameterize some subgrid-scale processes and physical processes in the present numerical model. The transmission and attenuation of the solar energy in the ocean are considered. A simple diagnostic equation for the cloud fractions k proposed on the basis of the humidities at the surface and the mid-troposphere. The parameterized formulae of both entrainment and Ekman pumping are improved.In the numerical integration, the treatment on damping the inertial oscillations is emphasized. The initialization and the objective analysis of the data which are necessary for the operational prediction will be presented in another paper.Results of SST prediction and some numerical experiments are given here. The model is computationally stable and successful in modelling the behaviors of the drift current and the mixed layer physics, and the AMD (absolute mean deviations) ≤1. 2℃ , RC (correlation coefficients ) ≥85% for 3-day forecasting.
基金Supported by the China Postdoctoral Science Foundation under Grant No 2014MM551868the Science and Technology Development Guidance Program of Qingdao under Grant No KJZD-13-35-JCH
文摘A metal-semiconductor composite with the interracial shells is investigated theoretically for the large linear mag- netoresistance effect of high doping Ag2＋δ Se and Ag2＋δ te materials. The magnetoresistance （MR） of composites is a function of the magnetic field, temperature, the conductivities of two phases without magnetic field, and the thickness and conductivity of the interracial shells. The MR increases with the increase of the magnetic field and with the decrease of temperature, and no saturation is found even under the high magnetic field. Moreover, it is interestingly found that the interracial shell is an important factor for the MR of the composites. The MR increases with the thickness and the conductivity of the interfacial shells. Lastly, the theoretical results on the MR are compared with the experimental data. It is found that the value of the MR of the composite with the interfacial shell is larger than that without the interfacial shell.
文摘While achieving successes,the neoliberalist economic development model hasalso given rise to a series of grave problems,especially problem of social injusticeand polarization,which have begun to threaten Latin America’s social security andstability.
文摘In this research, LINGO is used successfully to solve the water supply system′s optimal operation model. Firstly, the language of LINGO and the using method were studied intensively, on the basis of which the model was transformed to LINGO form and solved successfully. Secondly, the research on the interface between LINGO and the popular office software was made. The optimization software was developed, which had Excel as the workspace and LINGO as the core of computation. Through practice, this software was found stable, easy to use and suitable for the application to the water supply corporations.
文摘In this paper, a finite difference scheme for the linear and nonlinear models of wheezes are given. The stability of the finite difference scheme for the linear model is obtained by using of von Neumann method. Moreover, the convergence and stability of the finite difference scheme for the nonlinear model are studied by the energy inequalities method. By some numerical computations, the relationships between angular frequency and wall position, fluid speed and amplitude are discussed. Finally, the author shows that the numerical results are coincided with Grotberg's theoretical results.
文摘Vietnam has a 4000-year old traditional system of pharmaco-medicine which was founded during the Hung King era （2879-257 B.C.）. Vietnamese traditional medicine （TM） came from the society and was developed during the long years of living, working and struggling for existence among the Vietnamese people among 54 ethnic groups under extremely severe natural conditions, conflicts, and interaction with local neighboring nations such as China, Laos, Cambodia, india, etc. All of those form the foundations to shape the diversity, abundance and specialty of Vietnamese TM. Valuable experiences in TM have been transmitted from generation to generation, which is an important part of Vietnamese culture.
基金Supported by Foundation for University Key Teacher by the Ministry of Education of China
文摘When acquaintances of a model are little or the model is too complicate to build by using traditional time series methods, it is convenient for us to take advantage of genetic programming (GP) to build the model. Considering the complexity of nonlinear dynamic systems, this paper proposes modeling dynamic systems by using the nonlinear difference e-quation based on GP technique. First it gives the method, criteria and evaluation of modeling. Then it describes the modeling algorithm using GP. Finally two typical examples of time series are used to perform the numerical experiments. The result shows that this algorithm can successfully establish the difference equation model of dynamic systems and its predictive result is also satisfactory.
文摘For nonparabolic dispersion law is determined by the density of the energy states (Ns) in a quantizing magnetic field. The effect of temperature on the expansion of the Lan-dau levels of electrons semiconductors with the nonquadratic dispersion is studied. The density of states at low temperatures is calculated from data on high-tem- perature Ns.
文摘In a teaching experiment, Japanese Grade 9 students investigated how to measure the height of an aerial balloon using different models involving angles and distances, and also to evaluate the models they developed. As novices to mathematical modelling, they needed to decide which of several possible models were both valid and practicable, and the errors in measurement that are likely to arise. Opportunities to construct and use paper models, as scale reductions of the real situation, and discussing their results in small groups were effective in moving forward the thinking of many students on the dimensions mentioned above. While students were less able to identify different sources of errors, many came to appreciate the need to learn trigonometric techniques that are more suitable in dealing with problems of this kind.
基金Projects 40774010 supported by the National Natural Science Foundation of China20040290503 by the Research Fund for the Doctoral Program of Higher Education2006A029 by the Youth Scientific Research Foundation of China University of Mining and Technology
文摘A GPS baseline solution model is presented,based on the Empirical Mode Decomposition(EMD),which has the advan- tage of eliminating the error effects outside the model.The EMD technique is a new signal processing method for non-linear time series,which decomposes a time series into a finite and often small number of Intrinsic Mode Functions(IMFs).The decomposition procedure is adaptive and data-driven which is suitable for non-linear data series analysis.A multi-scale decomposition and recon- struction architecture is defined on the basis of the EMD theory and the error mitigation model is demonstrated as well.A standard of the scale selection for the elimination of errors,outside the model,was given in terms of the mean of the accumulated standard- ized modes.Thereafter,the scheme of the GPS baseline solution based on the EMD is suggested.The float solution residuals of the Double-Difference(DD)observation equation are used to extract the errors outside the model applied to modify the GPS DD measurements.Then the float solution was given again and the fixed solution was obtained by a Lambda algorithm.Three schemes are designed to test the proposed model and the experimental results show that the proposed model dramatically improves the reli- ability of ambiguity resolution after the elimination of errors outside the model.
文摘In this paper, we consider the model for the survival of red blood ceels with several delaysdN(t)dt=-μ N(t)+m i=1 P ie -r iN(t-τ i) , t≥ 0 (*) and establish a sufficient condition under which the positive equilibrium N * of (*) is a global attractor. Our criteria generalize and improve the correspondent results obtained in .
基金funded by the Deanship of Scientific Research at Imam Mohammad Ibn Saud Islamic University through Research Group no.RG-21-09-16.
文摘COVID-19 epidemic models with constant transmission rate cannot capture the patterns of the infection data in the presence of pharmaceutical and non-pharmaceutical interventions during a pandemic.Because of this,a new modification of SIR model that contain the vaccination compartment with time dependent coefficients and weak/lossimmunity is explored.Literature review confirms that the effect of vaccination on the time dependent transmission rate is still an open problem.This study answers this open problem.In this study,we first prove the well-posedness and investigate the model dynamics to show their continuous dependence on the model parameters.We then provide an algorithm to derive the time-dependent transmission function for the epidemiologic model and the data of the infected cases.The derived coupled nonlinear differential equations show the effect of vaccination on the transmission rate.Unlike previous studies,we first filter the published data and solve the nonlinear coupled differential equations using the finite difference technique,where the coefficient of the coupled nonlinear differential equations is a function of given data.We then show that time-dependent transmission function can be represented by linear combinations of Gaussian radial base function.We then validate the prediction of our models using numerical simulations,where we used the published data of COVID-19 confirmed cases by the Ministries of Health in Saudi Arabia and Poland.Finally,the numerical solutions of a SIRVI model with time dependent transmission rate show that the waves for currently active cases are in good agreement with the data of Saudi Arabia and Poland.
基金Supported by National Science Foundation of China(Grant Nos.41725017 and 42004085)Guangdong Basic and Applied Basic Research Foundation(Grant No.2019A1515110184)the National Key R&D Program of the Ministry of Science and Technology of China(Grant Nos.2020YFA0713400 and 2020YFA0713401)。
文摘The Accelerated Hermitian/skew-Hermitian type Richardson(AHSR)iteration methods are presented for solving non-Hermitian positive definite linear systems with three schemes,by using Anderson mixing.The upper bounds of spectral radii of iteration matrices are studied,and then the convergence theories of the AHSR iteration methods are established.Furthermore,the optimal iteration parameters are provided,which can be computed exactly.In addition,the application to the model convection-diffusion equation is depicted and numerical experiments are conducted to exhibit the effectiveness and confirm the theoretical analysis of the AHSR iteration methods.
基金This work was partially supported by Key Science,Technology Project of Zhejiang Province(LZ12E07001)National Natural Science Foundation of China(51307038).
文摘A popular explicit analytic Borowy 2C PV module model is proposed for power generation prediction.The maximum power point and the open-circuit point which are calculated in this model cannot be equal to the data given by manufacturers under standard test condition(STC).The derivation of this model has never been mentioned in any literatures.The parameter forms of 2C model in this paper are more simplified,and the model is decomposed into a STC sub-model and an incremental sub-model.The STC model is derived successfully from an ideal single-diode circuit model.Relative error estimations are developed to do the conformity error measurements.The analysis results showed that though the biases at those critical points are very small,the conformity will depend on both of the two ratio values I_(m)/I_(sc) and V_(m)/V_(oc),which can be used to verify whether 2C model is applicable for the PV module produced by a particular manufacturer.
文摘The equilibrium and kinetic characteristics of the adsorption of erythromycin to Sepabeads SP825 were determined.The equilibrium data in a batch system was well described by a Langmuir isotherm.The separation performance was investigated in a fixed-bed system with respect to the adsorption superficial velocity,ionic strength and pH.A mathematical model was used to simulate the mass transfer mechanism,taking film mass transfer,pore diffusion and axial dispersion into account.The model predictions were consistent with the experi-mental data and were consequently used to determine the mass transfer coefficients.
