With the aid of Lenard recursion equations, an integrable hierarchy of nonlinear evolution equations associated with a 2 × 2 matrix spectral problem is proposed, in which the first nontrivial member in the positi...With the aid of Lenard recursion equations, an integrable hierarchy of nonlinear evolution equations associated with a 2 × 2 matrix spectral problem is proposed, in which the first nontrivial member in the positive flows can be reduced to a new generalization of the Wadati–Konno–Ichikawa(WKI) equation. Further, a new generalization of the Fokas–Lenells(FL) equation is derived from the negative flows. Resorting to these two Lax pairs and Riccati-type equations, the infinite conservation laws of these two corresponding equations are obtained.展开更多
The growth laws of leaves of flue-cured tobacco in different positions in various periods were summarized. The results showed that the growth speed of new leaves of flue-cured tobacco increased constantly until their ...The growth laws of leaves of flue-cured tobacco in different positions in various periods were summarized. The results showed that the growth speed of new leaves of flue-cured tobacco increased constantly until their growth was the fastest, and then it reduced irreversibly. The length and width of leaves in each position increased fastest when they grew depending on photosynthates instead of or- ganic compounds from functional leaves. Therefore, it is concluded that the increases of leaf length, width and area, and dry matter, and the peak of photosynthetic rate appear successively during the process of leaves of flue-cured tobacco, and the leaf area correction coefficient of leaves of flue-cured tobacco is related to the shape of leaves, which are affected by leaf position and the variety of flue-cured tobacco. The study can provide scientific reference for further research on the growth laws of leaves of flue-cured tobacco.展开更多
According to the drought and waterlogging disaster statistics over the last 30 years (1950-1979), the annual average area suffering from drought was about 300 million mu (1 mu= 1/ 15 ha) in the whole country, among wh...According to the drought and waterlogging disaster statistics over the last 30 years (1950-1979), the annual average area suffering from drought was about 300 million mu (1 mu= 1/ 15 ha) in the whole country, among which about 100 million mu were disastrous areas where the output reduced more than 30%. and the annual lost grains totalled about 5 billion kg. The waterlogging disaster was less than drought disaster. The area suffering from waterlogging was about 100 million mu, among which 60 million mu were disastrous. Drought and waterlogging disasters affect directly the development of the national economy. So it is important to study drought and waterlogging variations, especially the drought and waterlogging variation laws of the areas where the disasters frequently occur.The historical literatures and recent observation data reveal the fact that there existed drought and waterlogging variations. For example, the occurrence frequency of the outstanding and severe drought years in north China is展开更多
In this paper,the maximum-principle-preserving(MPP)and positivitypreserving(PP)flux limiting technique will be generalized to a class of high-order weighted compact nonlinear schemes(WCNSs)for scalar conservation laws...In this paper,the maximum-principle-preserving(MPP)and positivitypreserving(PP)flux limiting technique will be generalized to a class of high-order weighted compact nonlinear schemes(WCNSs)for scalar conservation laws and the compressible Euler systems in both one and two dimensions.The main idea of the present method is to rewrite the scheme in a conservative form,and then define the local limiting parameters via case-by-case discussion.Smooth test problems are presented to demonstrate that the proposed MPP/PP WCNSs incorporating a third-order Runge-Kutta method can attain the desired order of accuracy.Other test problems with strong shocks and high pressure and density ratios are also conducted to testify the performance of the schemes.展开更多
The Amendment(Ⅺ)to the Criminal Law of the People’s Republic of China responds to the institutional needs of civic education,and supplements the clause of the Criminal Law on protection of citizens’right to educati...The Amendment(Ⅺ)to the Criminal Law of the People’s Republic of China responds to the institutional needs of civic education,and supplements the clause of the Criminal Law on protection of citizens’right to education nuy means of Article 32.Imposing legal responsibility in the form of internal punishments,administrative punishments,and economic compensation have failed to prevent infringements on citizens’right to education.Its role as a"secondary protection law"is the conceptual obstacle that hinders the Criminal Law from effectively intervening in the field of citizens’right to education.The equivalence between the legal interests of people to the right to education and the rights protected by the existing charges in the Criminal Law is the legitimate basis for it to intervene in disputes over the right to education.Based on Article 32 of the Amendment(Ⅺ)to the Criminal Law of the People’s Republic of China,it is suggested to further clarify the prepositional law,improve the liability provisions for the right to education,change the modest and restrained view of the Criminal Law regarding protection of the right to education,and expand the behavior types of Article 32 provided in the Amendment(Ⅺ)in due time.展开更多
基金Project supported by the National Natural Science Foundation of China(Grant Nos.11971441,11871440,and 11931017)Key Scientific Research Projects of Colleges and Universities in Henan Province,China(Grant No.20A110006).
文摘With the aid of Lenard recursion equations, an integrable hierarchy of nonlinear evolution equations associated with a 2 × 2 matrix spectral problem is proposed, in which the first nontrivial member in the positive flows can be reduced to a new generalization of the Wadati–Konno–Ichikawa(WKI) equation. Further, a new generalization of the Fokas–Lenells(FL) equation is derived from the negative flows. Resorting to these two Lax pairs and Riccati-type equations, the infinite conservation laws of these two corresponding equations are obtained.
文摘The growth laws of leaves of flue-cured tobacco in different positions in various periods were summarized. The results showed that the growth speed of new leaves of flue-cured tobacco increased constantly until their growth was the fastest, and then it reduced irreversibly. The length and width of leaves in each position increased fastest when they grew depending on photosynthates instead of or- ganic compounds from functional leaves. Therefore, it is concluded that the increases of leaf length, width and area, and dry matter, and the peak of photosynthetic rate appear successively during the process of leaves of flue-cured tobacco, and the leaf area correction coefficient of leaves of flue-cured tobacco is related to the shape of leaves, which are affected by leaf position and the variety of flue-cured tobacco. The study can provide scientific reference for further research on the growth laws of leaves of flue-cured tobacco.
文摘According to the drought and waterlogging disaster statistics over the last 30 years (1950-1979), the annual average area suffering from drought was about 300 million mu (1 mu= 1/ 15 ha) in the whole country, among which about 100 million mu were disastrous areas where the output reduced more than 30%. and the annual lost grains totalled about 5 billion kg. The waterlogging disaster was less than drought disaster. The area suffering from waterlogging was about 100 million mu, among which 60 million mu were disastrous. Drought and waterlogging disasters affect directly the development of the national economy. So it is important to study drought and waterlogging variations, especially the drought and waterlogging variation laws of the areas where the disasters frequently occur.The historical literatures and recent observation data reveal the fact that there existed drought and waterlogging variations. For example, the occurrence frequency of the outstanding and severe drought years in north China is
基金Project supported by the National Natural Science Foundation of China(No.11571366)the Basic Research Foundation of National Numerical Wind Tunnel Project(No.NNW2018-ZT4A08)
文摘In this paper,the maximum-principle-preserving(MPP)and positivitypreserving(PP)flux limiting technique will be generalized to a class of high-order weighted compact nonlinear schemes(WCNSs)for scalar conservation laws and the compressible Euler systems in both one and two dimensions.The main idea of the present method is to rewrite the scheme in a conservative form,and then define the local limiting parameters via case-by-case discussion.Smooth test problems are presented to demonstrate that the proposed MPP/PP WCNSs incorporating a third-order Runge-Kutta method can attain the desired order of accuracy.Other test problems with strong shocks and high pressure and density ratios are also conducted to testify the performance of the schemes.
基金the Key Project supported by the National Social Science Fund,“Study on the Relationship between the Rule of Law and the Rule of Morality”(14AZD135)The Key Project of Philosophy and Social Science Research of Ministry of Education,“Study on Promoting the National Inspection and Supervision Covering all Sectors”(18JZD037)the Postgraduate Scientific Research Innovation Project of Southwest University of Political Science and Law,“Research on the Issue of Criminal Law Protection of Citizens’Right to Education”(2019XZXS-066)
文摘The Amendment(Ⅺ)to the Criminal Law of the People’s Republic of China responds to the institutional needs of civic education,and supplements the clause of the Criminal Law on protection of citizens’right to education nuy means of Article 32.Imposing legal responsibility in the form of internal punishments,administrative punishments,and economic compensation have failed to prevent infringements on citizens’right to education.Its role as a"secondary protection law"is the conceptual obstacle that hinders the Criminal Law from effectively intervening in the field of citizens’right to education.The equivalence between the legal interests of people to the right to education and the rights protected by the existing charges in the Criminal Law is the legitimate basis for it to intervene in disputes over the right to education.Based on Article 32 of the Amendment(Ⅺ)to the Criminal Law of the People’s Republic of China,it is suggested to further clarify the prepositional law,improve the liability provisions for the right to education,change the modest and restrained view of the Criminal Law regarding protection of the right to education,and expand the behavior types of Article 32 provided in the Amendment(Ⅺ)in due time.