In this paper, we study the second-order nonlinear differential systems of Liénard-type x˙=1a(x)[ h(y)−F(x) ], y˙=−a(x)g(x). Necessary and sufficient conditions to ensure that all nontrivial solutions are oscil...In this paper, we study the second-order nonlinear differential systems of Liénard-type x˙=1a(x)[ h(y)−F(x) ], y˙=−a(x)g(x). Necessary and sufficient conditions to ensure that all nontrivial solutions are oscillatory are established by using a new nonlinear integral inequality. Our results substantially extend and improve previous results known in the literature.展开更多
From the perspective of industrial integration,how the musical instruments of Li people in Hainan can solve the current development problems such as lack of endogenous power and market enthusiasm under the strategy of...From the perspective of industrial integration,how the musical instruments of Li people in Hainan can solve the current development problems such as lack of endogenous power and market enthusiasm under the strategy of rural revitalization to walk out a unique road of three-in-one industry construction was studied.展开更多
This paper develops a functional relation between Digital Libraries and Confucion Integrated Curriculum Learning systems. We show that under certain properties of Learning Systems which can implement laissez-faire mar...This paper develops a functional relation between Digital Libraries and Confucion Integrated Curriculum Learning systems. We show that under certain properties of Learning Systems which can implement laissez-faire markets under uncertainty, the systems integration is possible in entropy space.展开更多
Folk activities are the most representative form of regional culture,the humanistic care,homeland affection and festival customs that run through them are all vivid and true embodiments of local life.The folk custom a...Folk activities are the most representative form of regional culture,the humanistic care,homeland affection and festival customs that run through them are all vivid and true embodiments of local life.The folk custom activity of"Zhang and Li combined households"is a living inheritance of the historical fact of Mongolian-Han fusion in Taomin region.It takes Shehuo(festival entertainment)as the carrier,and uses rich forms of performance to recognize relatives and worship ancestors.At the same time,as a kind of entertainment and catharsis,it also carries the social function of folk culture,such as maintaining and connecting the emotions between the ethnic groups and neighbors,etc.On the basis of field investigation,this paper deeply describes the folk custom event of"Zhang and Li combined households",shows the whole picture of the grand festival,and discusses the ancestral memory,identifies and ethnic integration process of"Zhang and Li combined households"as a cultural phenomenon.展开更多
医院业务的发展要求能实现信息系统的集成。我们分析了医疗信息系统互联的不同方式,提出一种集成现有实验室信息系统(LIS)与医院信息系统(HIS)的方案。它使用多层分布式技术改进客户机/服务器应用模式,参考IHE(Integrating the Healthca...医院业务的发展要求能实现信息系统的集成。我们分析了医疗信息系统互联的不同方式,提出一种集成现有实验室信息系统(LIS)与医院信息系统(HIS)的方案。它使用多层分布式技术改进客户机/服务器应用模式,参考IHE(Integrating the Healthcare Enterprise)实验室技术框架(LAB-TF)确定参与工作流程集成的功能单元和事务,并采用Health Level 7(HL7)医疗信息交换标准实现信息交互。可保留原有的大部分处理,避免系统整合带来安全性、可维护性和实时性问题,保护了原有的投入,避免重建系统所带来的风险。展开更多
The conventional tourism resource product fusion system applied to the tourism culture in Li Miao region has the deficiency of low integration rate and poor integrity of construction.To solve the problem,the fusion sy...The conventional tourism resource product fusion system applied to the tourism culture in Li Miao region has the deficiency of low integration rate and poor integrity of construction.To solve the problem,the fusion system of cultural resources and products in Li Miao region tourism is proposed.Based on their determination of the mathematical relationship,the cultural resources and product information in Li Miao region tourism was introduced,and their fusion can be realized.Based on the confirmation of the fusion mechanism of cultural resources and products and the procedure of the fusion system,the proposed fusion system was constructed.The experimental data show that the proposed tourism resource product fusion system is 38.9%higher than the conventional system,and the construction integrity is improved by 31.7%.It is proved the effectiveness of the construction of the fusion system of cultural resources and products in Li Miao region tourism.展开更多
MoSe_(2),with high theoretical specific capacity,has attracted a lot of attention.There remains an open challenge to effectively suppress the irreversible selenium dissolution and rapid capacity decrease induced by se...MoSe_(2),with high theoretical specific capacity,has attracted a lot of attention.There remains an open challenge to effectively suppress the irreversible selenium dissolution and rapid capacity decrease induced by severe volume change during cycling.Herein,we synthesize MoSe_(2)nanoflowers dispersed on one-dimensional(1D)N-doped carbon nanofibers(MoSe_(2)@NCNFs)for use as a freestanding electrode.In this unique structure,the 1D N-doped carbon nanofibers are found to not only enhance the conductivity but also ensure the structural integrity during the Li^(+)/Na^(+)insertion/destraction processes.As expected,at 2 A·g^(-1),the specific capacity of the MoSe_(2)@NCNFs is maintained at 180 mAh·g^(-1)after 500 cycles when used in lithium storage applications.Furthermore,in the case of sodium storage,at 1 A·g^(-1),the MoSe_(2)@NCNFs shows a capacity of 122mAh·g^(-1)after 500 cycles.These findings suggest that the MoSe_(2)@NCNF electrodes may be a promising candidate for use in reversible Li/Na storage applications.展开更多
We present some exact integrability cases of the extended Liénard equation y′′+ f(y)(y′)n +k(y)(y′)m + g(y)y′+ h(y) = 0, with n > 0 and m > 0 arbitrary constants, while f(y), k(y), g(y), and h(y) are a...We present some exact integrability cases of the extended Liénard equation y′′+ f(y)(y′)n +k(y)(y′)m + g(y)y′+ h(y) = 0, with n > 0 and m > 0 arbitrary constants, while f(y), k(y), g(y), and h(y) are arbitrary functions. The solutions are obtained by transforming the equation Liénard equation to an equivalent first kind first order Abel type equation given bydv/dy= f(y)v3-n+ k(y)v3-m+ g(y)v2+ h(y)v3, with v = 1/y′.As a first step in our study we obtain three integrability cases of the extended quadratic-cubic Liénard equation,corresponding to n = 2 and m = 3, by assuming that particular solutions of the associated Abel equation are known. Under this assumption the general solutions of the Abel and Liénard equations with coefficients satisfying some differential conditions can be obtained in an exact closed form. With the use of the Chiellini integrability condition, we show that if a particular solution of the Abel equation is known, the general solution of the extended quadratic cubic Liénard equation can be obtained by quadratures. The Chiellini integrability condition is extended to generalized Abel equations with g(y) ≡ 0 and h(y) ≡ 0, and arbitrary n and m, thus allowing to obtain the general solution of the corresponding Liénard equation. The application of the generalized Chiellini condition to the case of the reduced Riccati equation is also considered.展开更多
文摘In this paper, we study the second-order nonlinear differential systems of Liénard-type x˙=1a(x)[ h(y)−F(x) ], y˙=−a(x)g(x). Necessary and sufficient conditions to ensure that all nontrivial solutions are oscillatory are established by using a new nonlinear integral inequality. Our results substantially extend and improve previous results known in the literature.
基金Supported by National Innovation Planning Project for University Students in 2021 (202110414025)
文摘From the perspective of industrial integration,how the musical instruments of Li people in Hainan can solve the current development problems such as lack of endogenous power and market enthusiasm under the strategy of rural revitalization to walk out a unique road of three-in-one industry construction was studied.
文摘This paper develops a functional relation between Digital Libraries and Confucion Integrated Curriculum Learning systems. We show that under certain properties of Learning Systems which can implement laissez-faire markets under uncertainty, the systems integration is possible in entropy space.
文摘Folk activities are the most representative form of regional culture,the humanistic care,homeland affection and festival customs that run through them are all vivid and true embodiments of local life.The folk custom activity of"Zhang and Li combined households"is a living inheritance of the historical fact of Mongolian-Han fusion in Taomin region.It takes Shehuo(festival entertainment)as the carrier,and uses rich forms of performance to recognize relatives and worship ancestors.At the same time,as a kind of entertainment and catharsis,it also carries the social function of folk culture,such as maintaining and connecting the emotions between the ethnic groups and neighbors,etc.On the basis of field investigation,this paper deeply describes the folk custom event of"Zhang and Li combined households",shows the whole picture of the grand festival,and discusses the ancestral memory,identifies and ethnic integration process of"Zhang and Li combined households"as a cultural phenomenon.
基金the National Basic Research Program of China，the National Natural Science Foundation of China，the Chinese Academy of Sciences, and the Key Research Program of Chinese Academy of Sciences
基金2018 Plan Project of Philosophy and Social Sciences of Hainan Province(No.HNSK(QN)18–101).
文摘The conventional tourism resource product fusion system applied to the tourism culture in Li Miao region has the deficiency of low integration rate and poor integrity of construction.To solve the problem,the fusion system of cultural resources and products in Li Miao region tourism is proposed.Based on their determination of the mathematical relationship,the cultural resources and product information in Li Miao region tourism was introduced,and their fusion can be realized.Based on the confirmation of the fusion mechanism of cultural resources and products and the procedure of the fusion system,the proposed fusion system was constructed.The experimental data show that the proposed tourism resource product fusion system is 38.9%higher than the conventional system,and the construction integrity is improved by 31.7%.It is proved the effectiveness of the construction of the fusion system of cultural resources and products in Li Miao region tourism.
基金supported by the National Natural Science Foundation of China (No.52102296)the Guangzhou Municipal Science and Technology Bureau (No.202102020055)+2 种基金the Science and Technology Program of Guangzhou (No.2019050001)the Outstanding Youth Project of Guangdong Natural Science Foundation (No.2021B1515020051)the Yunnan Expert Workstation (No.202005AF150028)。
文摘MoSe_(2),with high theoretical specific capacity,has attracted a lot of attention.There remains an open challenge to effectively suppress the irreversible selenium dissolution and rapid capacity decrease induced by severe volume change during cycling.Herein,we synthesize MoSe_(2)nanoflowers dispersed on one-dimensional(1D)N-doped carbon nanofibers(MoSe_(2)@NCNFs)for use as a freestanding electrode.In this unique structure,the 1D N-doped carbon nanofibers are found to not only enhance the conductivity but also ensure the structural integrity during the Li^(+)/Na^(+)insertion/destraction processes.As expected,at 2 A·g^(-1),the specific capacity of the MoSe_(2)@NCNFs is maintained at 180 mAh·g^(-1)after 500 cycles when used in lithium storage applications.Furthermore,in the case of sodium storage,at 1 A·g^(-1),the MoSe_(2)@NCNFs shows a capacity of 122mAh·g^(-1)after 500 cycles.These findings suggest that the MoSe_(2)@NCNF electrodes may be a promising candidate for use in reversible Li/Na storage applications.
文摘We present some exact integrability cases of the extended Liénard equation y′′+ f(y)(y′)n +k(y)(y′)m + g(y)y′+ h(y) = 0, with n > 0 and m > 0 arbitrary constants, while f(y), k(y), g(y), and h(y) are arbitrary functions. The solutions are obtained by transforming the equation Liénard equation to an equivalent first kind first order Abel type equation given bydv/dy= f(y)v3-n+ k(y)v3-m+ g(y)v2+ h(y)v3, with v = 1/y′.As a first step in our study we obtain three integrability cases of the extended quadratic-cubic Liénard equation,corresponding to n = 2 and m = 3, by assuming that particular solutions of the associated Abel equation are known. Under this assumption the general solutions of the Abel and Liénard equations with coefficients satisfying some differential conditions can be obtained in an exact closed form. With the use of the Chiellini integrability condition, we show that if a particular solution of the Abel equation is known, the general solution of the extended quadratic cubic Liénard equation can be obtained by quadratures. The Chiellini integrability condition is extended to generalized Abel equations with g(y) ≡ 0 and h(y) ≡ 0, and arbitrary n and m, thus allowing to obtain the general solution of the corresponding Liénard equation. The application of the generalized Chiellini condition to the case of the reduced Riccati equation is also considered.
