To extend the study scopes of integrable couplings, the notion of double integrable couplings is proposed in the paper. The zero curvature equation appearing in the constructing method built in the paper consists of t...To extend the study scopes of integrable couplings, the notion of double integrable couplings is proposed in the paper. The zero curvature equation appearing in the constructing method built in the paper consists of the elements of a new loop algebra which is obtained by using perturbation method. Therefore, the approach given in the paper has extensive applicable values, that is, it applies to investigate a lot of double integrable couplings of the known integrable hierarchies of evolution equations. As for explicit applications of the method proposed in the paper, the double integrable couplings of the AKNS hierarchy and the KN hierarchy are worked out, respectively.展开更多
In this paper, a new 7×7 matrix spectral problem, which is associated with the super AKNS equation isconstructed.With the use of the binary nonlinearization method, a new integrable decomposition of the super AKN...In this paper, a new 7×7 matrix spectral problem, which is associated with the super AKNS equation isconstructed.With the use of the binary nonlinearization method, a new integrable decomposition of the super AKNSequation is presented.展开更多
Visual artists in the island provinces of the Philippines often find themselves navigating through adversities in the production and dissemination of their creative work. With the visual-arts praxis being exclusively ...Visual artists in the island provinces of the Philippines often find themselves navigating through adversities in the production and dissemination of their creative work. With the visual-arts praxis being exclusively cited in the nation’s capital city, the majority of artists spread over an archipelago of seven thousand islands fall under the notion of struggling, but persevering creator. This paper aims to describe and evaluate the art ecology of Cebu City, the art-related conditions of artists and their tenacity. The methodology used for case-creation: semi-structured interviews, in-depth interviews, and observation. The main finding of the study is that contemporary visual artists in the island province of Cebu, Philippines perceive the struggles from the production to the consumption of art as customary to their milieus. The study plots the current visual-arts ecology model of the locale and proposes future innovations for the development of the sector’s value chain. From the context of a developing country, the study also expands the discussion between creating art for art’s sake and art as a market commodity through the intermediate position of artists.展开更多
In order to improve the modernization level of sports comprehensive evaluation, a comprehensive evaluation method of sports modernization based on analytic hierarchy process (AHP) is proposed. An index analysis mode...In order to improve the modernization level of sports comprehensive evaluation, a comprehensive evaluation method of sports modernization based on analytic hierarchy process (AHP) is proposed. An index analysis model for constructing the comprehensive evaluation of sports modernization is constructed, spatial modeling of information feature distribution is taken based on nonlinear time series analysis method for comprehensive evaluation of sports modernization, control objective function of comprehensive evaluation of sports modernization is constructed by analytic hierarchy process, optimal control parameters is obtained and comprehensive evaluation and optimization of sports modernization are realized. The simulation results show that the method is applied in comprehensive evaluation modem sports, it has performance of high reliability and good accuracy.展开更多
Radical/radical cross-coupling represents a straightforward way for the construction of new chemical bonds in theory and has received more and more attention over the past several years. Until now, it is challenging t...Radical/radical cross-coupling represents a straightforward way for the construction of new chemical bonds in theory and has received more and more attention over the past several years. Until now, it is challenging to achieve the selective bond formation between two transient radicals since selective radical cross-coupling usually happens between persistent radical and transient radical. However, the number of persistent radicals is much less than that of transient radicals. These issues limit the application of radical/radical cross-coupling in the construction of new chemical bonds. To solve this, we proposed a novel strategy ‘‘tuning radical reactivity" that could tune transient radical into persistent radical. This paper will introduce the concept and recent developments of ‘‘tuning radical reactivity".展开更多
This paper presents a novel stiffness prediction method for periodic beam-like structures based on the two-scale equivalence at different strain states.The macroscopic fields are achieved within the framework of Timos...This paper presents a novel stiffness prediction method for periodic beam-like structures based on the two-scale equivalence at different strain states.The macroscopic fields are achieved within the framework of Timoshenko beam theory,while the microscopic fields are obtained by the newly constructed displacement form within the framework of three-dimensional(3D)elasticity theory.The new displacement form draws lessons from that in the asymptotic homogenization method(AHM),but the present field governing equations or boundary conditions for the first two order influence functions are constructed and very different from the way they were defined in the AHM.The constructed displacement form,composed of one homogenized and two warping terms,can accurately describe the deformation mode of beam-like structures.Then,with the new displacement form,the effective stiffness is achieved by the equivalence principle of macro-and microscopic fields.The finite element formulations of the proposed method are presented,which are easy to implement.Numerical examples validate that the present method can well predict both diagonal and coupling stiffness of periodic composite beams.展开更多
基金Supported by the National Natural Science Foundation of China under Grant No.10971031
文摘To extend the study scopes of integrable couplings, the notion of double integrable couplings is proposed in the paper. The zero curvature equation appearing in the constructing method built in the paper consists of the elements of a new loop algebra which is obtained by using perturbation method. Therefore, the approach given in the paper has extensive applicable values, that is, it applies to investigate a lot of double integrable couplings of the known integrable hierarchies of evolution equations. As for explicit applications of the method proposed in the paper, the double integrable couplings of the AKNS hierarchy and the KN hierarchy are worked out, respectively.
基金Supported by the National Natural Science Foundation of China under Grant No.10926036the Education Department of Zhejiang Province under Grant No.Y200906909the Zhejiang Provincial Natural Science Foundation of China under Grant No.Y6090172
文摘In this paper, a new 7×7 matrix spectral problem, which is associated with the super AKNS equation isconstructed.With the use of the binary nonlinearization method, a new integrable decomposition of the super AKNSequation is presented.
文摘Visual artists in the island provinces of the Philippines often find themselves navigating through adversities in the production and dissemination of their creative work. With the visual-arts praxis being exclusively cited in the nation’s capital city, the majority of artists spread over an archipelago of seven thousand islands fall under the notion of struggling, but persevering creator. This paper aims to describe and evaluate the art ecology of Cebu City, the art-related conditions of artists and their tenacity. The methodology used for case-creation: semi-structured interviews, in-depth interviews, and observation. The main finding of the study is that contemporary visual artists in the island province of Cebu, Philippines perceive the struggles from the production to the consumption of art as customary to their milieus. The study plots the current visual-arts ecology model of the locale and proposes future innovations for the development of the sector’s value chain. From the context of a developing country, the study also expands the discussion between creating art for art’s sake and art as a market commodity through the intermediate position of artists.
文摘In order to improve the modernization level of sports comprehensive evaluation, a comprehensive evaluation method of sports modernization based on analytic hierarchy process (AHP) is proposed. An index analysis model for constructing the comprehensive evaluation of sports modernization is constructed, spatial modeling of information feature distribution is taken based on nonlinear time series analysis method for comprehensive evaluation of sports modernization, control objective function of comprehensive evaluation of sports modernization is constructed by analytic hierarchy process, optimal control parameters is obtained and comprehensive evaluation and optimization of sports modernization are realized. The simulation results show that the method is applied in comprehensive evaluation modem sports, it has performance of high reliability and good accuracy.
基金supported by the National Natural Science Foundation of China(21390402,21520102003)the Hubei Provincial Natural Science Foundation(2017CFA010)The Program of Introducing Talents of Discipline to Universities of China(111 Program)
文摘Radical/radical cross-coupling represents a straightforward way for the construction of new chemical bonds in theory and has received more and more attention over the past several years. Until now, it is challenging to achieve the selective bond formation between two transient radicals since selective radical cross-coupling usually happens between persistent radical and transient radical. However, the number of persistent radicals is much less than that of transient radicals. These issues limit the application of radical/radical cross-coupling in the construction of new chemical bonds. To solve this, we proposed a novel strategy ‘‘tuning radical reactivity" that could tune transient radical into persistent radical. This paper will introduce the concept and recent developments of ‘‘tuning radical reactivity".
基金supported by the China Postdoctoral Science Foundation(Grant No.2021T140040)the National Natural Science Foundation of China(Grant Nos.12002019 and 11872090).
文摘This paper presents a novel stiffness prediction method for periodic beam-like structures based on the two-scale equivalence at different strain states.The macroscopic fields are achieved within the framework of Timoshenko beam theory,while the microscopic fields are obtained by the newly constructed displacement form within the framework of three-dimensional(3D)elasticity theory.The new displacement form draws lessons from that in the asymptotic homogenization method(AHM),but the present field governing equations or boundary conditions for the first two order influence functions are constructed and very different from the way they were defined in the AHM.The constructed displacement form,composed of one homogenized and two warping terms,can accurately describe the deformation mode of beam-like structures.Then,with the new displacement form,the effective stiffness is achieved by the equivalence principle of macro-and microscopic fields.The finite element formulations of the proposed method are presented,which are easy to implement.Numerical examples validate that the present method can well predict both diagonal and coupling stiffness of periodic composite beams.