This paper illustrates the language-learning-supporting features of a monolingual English learner＇s dictionary, the Macmillan English Dictionary for Advanced Learners （ 2002 ） , a product of ＂ a learner-based phil...This paper illustrates the language-learning-supporting features of a monolingual English learner＇s dictionary, the Macmillan English Dictionary for Advanced Learners （ 2002 ） , a product of ＂ a learner-based philosophy. ＂ It gives a detailed mapping of the user-friendliness of the dictionary in question and points out that MEDAL is helpful to learners of English mainly because it answers both their decoding and encoding needs. To further explore the potential of a good learner＇s dictionary, the current author also discusses the role of an English teacher in helping his/her students to make better use of the dictionary, and consequently ensures the supportiveness of MEDAL in the language learning process.展开更多
In the present paper,we provide an error bound for the learning rates of the regularized Shannon sampling learning scheme when the hypothesis space is a reproducing kernel Hilbert space(RKHS) derived by a Mercer kerne...In the present paper,we provide an error bound for the learning rates of the regularized Shannon sampling learning scheme when the hypothesis space is a reproducing kernel Hilbert space(RKHS) derived by a Mercer kernel and a determined net.We show that if the sample is taken according to the determined set,then,the sample error can be bounded by the Mercer matrix with respect to the samples and the determined net.The regularization error may be bounded by the approximation order of the reproducing kernel Hilbert space interpolation operator.The paper is an investigation on a remark provided by Smale and Zhou.展开更多
文摘This paper illustrates the language-learning-supporting features of a monolingual English learner＇s dictionary, the Macmillan English Dictionary for Advanced Learners （ 2002 ） , a product of ＂ a learner-based philosophy. ＂ It gives a detailed mapping of the user-friendliness of the dictionary in question and points out that MEDAL is helpful to learners of English mainly because it answers both their decoding and encoding needs. To further explore the potential of a good learner＇s dictionary, the current author also discusses the role of an English teacher in helping his/her students to make better use of the dictionary, and consequently ensures the supportiveness of MEDAL in the language learning process.
基金supported by National Natural Science Foundation of China (Grant No.10871226)Natural Science Foundation of Zhejiang Province (Grant No. Y6100096)
文摘In the present paper,we provide an error bound for the learning rates of the regularized Shannon sampling learning scheme when the hypothesis space is a reproducing kernel Hilbert space(RKHS) derived by a Mercer kernel and a determined net.We show that if the sample is taken according to the determined set,then,the sample error can be bounded by the Mercer matrix with respect to the samples and the determined net.The regularization error may be bounded by the approximation order of the reproducing kernel Hilbert space interpolation operator.The paper is an investigation on a remark provided by Smale and Zhou.
