It seems that a big problem in applying the WWW to education fields is that teachershave difficulty directly developing and managing a web-based intelligent CAL (Computer AidedLearning) system, because of the shortage...It seems that a big problem in applying the WWW to education fields is that teachershave difficulty directly developing and managing a web-based intelligent CAL (Computer AidedLearning) system, because of the shortage of funds and teachers who are skilled in both AI (ArtificialIntelligence) and computer information technologies. Focusing on solving the problems we havedeveloped a general-purpose tool called WWW-CALIST (WWW-based Computer Aided LearningIndividual-adaptive System Tool), which helps teachers build up a web-based individualized adaptivecomputer aided learning environment called 'test→search for information using an adaptivekowledge map→adaptive learning'. By using easy-to-use interfaces equipped with the tool, ateacher who knows only the HTML can develop and manage web-based individualized adaptive CAIsystems for various education domains.展开更多
An isospectral problem with four potentials is discussed. The corresponding hierarchy of nonlinearevolution equations is derived. It is shown that the AKNS, Levi, D-AKNS hierarchies and a new oneare reductions of the ...An isospectral problem with four potentials is discussed. The corresponding hierarchy of nonlinearevolution equations is derived. It is shown that the AKNS, Levi, D-AKNS hierarchies and a new oneare reductions of the above hierarchy. In each case the relevant Hamiltonian form is established bymaking use of the trase identity.展开更多
文摘It seems that a big problem in applying the WWW to education fields is that teachershave difficulty directly developing and managing a web-based intelligent CAL (Computer AidedLearning) system, because of the shortage of funds and teachers who are skilled in both AI (ArtificialIntelligence) and computer information technologies. Focusing on solving the problems we havedeveloped a general-purpose tool called WWW-CALIST (WWW-based Computer Aided LearningIndividual-adaptive System Tool), which helps teachers build up a web-based individualized adaptivecomputer aided learning environment called 'test→search for information using an adaptivekowledge map→adaptive learning'. By using easy-to-use interfaces equipped with the tool, ateacher who knows only the HTML can develop and manage web-based individualized adaptive CAIsystems for various education domains.
基金The project supported by National Natural Science Foundation Committeethrough Nankai Institute of Mathematics
文摘An isospectral problem with four potentials is discussed. The corresponding hierarchy of nonlinearevolution equations is derived. It is shown that the AKNS, Levi, D-AKNS hierarchies and a new oneare reductions of the above hierarchy. In each case the relevant Hamiltonian form is established bymaking use of the trase identity.