In this paper, we study the extension of isometries between the unit spheres of complex Banach spaces lp(Γ) and lp(△)(p 〉1). We first derive the representation of isometries between the unit spheres of comple...In this paper, we study the extension of isometries between the unit spheres of complex Banach spaces lp(Γ) and lp(△)(p 〉1). We first derive the representation of isometries between the unit spheres of complex Banach spaces lp(Γ) and lp(△). Then we arrive at a conclusion that any surjective isometry between the unit spheres of complex Banach spaces lp(Γ)and lp(△) can be extended to be a linear isometry on the whole space.展开更多
With China’s entry into WTO and the opening-up of China’s economy to outside world,more foreign companies have flooded into China.And then English is playing a more and more important role in the world and in China....With China’s entry into WTO and the opening-up of China’s economy to outside world,more foreign companies have flooded into China.And then English is playing a more and more important role in the world and in China.ESP(English for Specific Purposes)also goes to the fastest growing area of English in China.Therefore,an experimental research on societal needs of EGP and ESP is conducted in this essay,whose results the teachers of ESP and EGP(English for General Purposes)can benefit from,such as designing syllabus and the courses,adopting and adapting materials,operating the classroom teaching,and evaluating the teaching process.Correspondingly,only by way of combining specific knowledge with learning skills can the students’English learning be really improved to sow the seeds of benefits for their future work and learning.展开更多
With a view to keeping up with the new developments of the reform of college English teaching at present,college English teaching for students majored in arts and sports is also appealing to be improved further.And to...With a view to keeping up with the new developments of the reform of college English teaching at present,college English teaching for students majored in arts and sports is also appealing to be improved further.And to deepen the teaching reform,teachers,who are the mobile one of the most important factors in English teaching,should follow the principles of providing different guidance for students majored in arts and sports and instructing them in accordance with their aptitude to meet the specific needs of individualized teaching.Thus they have to change their roles and can gain the inspiration from the following contents.展开更多
Teachers are always in search of better ways to suit a variety of language needs and learning skills.The inductive approach allows the learners to examine samples of language first and discover the rules by themselves...Teachers are always in search of better ways to suit a variety of language needs and learning skills.The inductive approach allows the learners to examine samples of language first and discover the rules by themselves.That is to say,the learners generalize the rules from the particular.As a new approach in teaching grammar,the process of the inductive activities challenges and motivates many learners.The purpose of this essay is to examine the inductive approach applied in a microteaching grammar class and to evaluate the advantages and disadvantages of the procedure,and then to identify the ways in which it may be successfully adopted in future teaching proactive.展开更多
基金supported by Higher Educational Science and Technology Program Foundation of Shandong Province(J11LA02)Young and Middle-Aged Scientists Research Foundation of Shandong Province(BS2010SF004)Higher Educational Science and Technology Program Foundation of Shandong Province(J10LA53)
文摘In this paper, we study the extension of isometries between the unit spheres of complex Banach spaces lp(Γ) and lp(△)(p 〉1). We first derive the representation of isometries between the unit spheres of complex Banach spaces lp(Γ) and lp(△). Then we arrive at a conclusion that any surjective isometry between the unit spheres of complex Banach spaces lp(Γ)and lp(△) can be extended to be a linear isometry on the whole space.
文摘With China’s entry into WTO and the opening-up of China’s economy to outside world,more foreign companies have flooded into China.And then English is playing a more and more important role in the world and in China.ESP(English for Specific Purposes)also goes to the fastest growing area of English in China.Therefore,an experimental research on societal needs of EGP and ESP is conducted in this essay,whose results the teachers of ESP and EGP(English for General Purposes)can benefit from,such as designing syllabus and the courses,adopting and adapting materials,operating the classroom teaching,and evaluating the teaching process.Correspondingly,only by way of combining specific knowledge with learning skills can the students’English learning be really improved to sow the seeds of benefits for their future work and learning.
文摘With a view to keeping up with the new developments of the reform of college English teaching at present,college English teaching for students majored in arts and sports is also appealing to be improved further.And to deepen the teaching reform,teachers,who are the mobile one of the most important factors in English teaching,should follow the principles of providing different guidance for students majored in arts and sports and instructing them in accordance with their aptitude to meet the specific needs of individualized teaching.Thus they have to change their roles and can gain the inspiration from the following contents.
文摘Teachers are always in search of better ways to suit a variety of language needs and learning skills.The inductive approach allows the learners to examine samples of language first and discover the rules by themselves.That is to say,the learners generalize the rules from the particular.As a new approach in teaching grammar,the process of the inductive activities challenges and motivates many learners.The purpose of this essay is to examine the inductive approach applied in a microteaching grammar class and to evaluate the advantages and disadvantages of the procedure,and then to identify the ways in which it may be successfully adopted in future teaching proactive.