SOME COMMON DIFFICULTIES IN LISTENING OF ENGLISH MAJORED FRESHMEN AT TAY DO UNIVERSITY, VIETNAM

The aim of the research “Some common difficulties in listening of English majored freshmen at Tay Do University" is to figure out some major factors causing difficulties for students in listening to English. The research is carried out within 12 weeks. Participants of this study are 100 English majored freshmen course 13, chosen randomly (including students in class 13A, 13B, and 13C) at Tay Do University. During the research time, participants are given questionnaires and paper interviews to show their ideas. The questionnaire and paper interview are two main instruments of this study, which are used to gather information about students' problems facing in listening. As a result, the research through the expected outcome will show some difficulties in listening of English majored freshmen at Tay Do University that related to linguistics like vocabulary, grammar, pronunciation, accents and intonation, and background knowledge and unfamiliar topics, psychological obstacle, and the length and speed rate of speech. Article visualizations

Application of design thinking to implement innovation policy in teaching table tennis for students – the case of Vietnam National University, Hanoi

Design-Thinking is very innovative process and could be applied as innovative teaching. The current situation of teaching table tenis at Vietnam National University, Hanoi, one of the leading universities in Vietnam shows that the traditional teaching method (passive learning) of table tenis is not approriate. Therefore, Design-Thinking (process of Empathize - Define - Ideate - Prototype - Test) is very necessary for teaching table tennis for students at Vietnam National University, Hanoi, which helps students to get better results from real-world experiences on their own learning and through projects and help them to understand the importance of fitness. The papers will firstly review what is Design-Thinking, its advantages in teaching table tenis, then analyse the current situation of teaching table tenis in Vietnam National University, Hanoi and show the results of design-thinking application for teaching table tenis for students of Vietnam National University, Hanoi to recommend some solutions for better application of this method in future

THE READING CULTURE OF ENGLISH MAJORED STUDENTS AT TAY DO UNIVERSITY, VIETNAM

In the 21st century, the development of many modern entertainment facilities makes people rarely focus on reading books. So, the reading culture gradually fell into oblivion. In reality, when teachers ask students about their reading habit, students often say “we seldom read books”, they mostly read books because of teacher requests or school assignments. Therefore, the research “The reading culture of English majored students at Tay Do University” was conducted with the purpose of helping English linguistic students to acknowledge the importance of reading books. Thanks to this, they can find their own situations and spend more time reading books. The participants of this study were 100 English majored students of four classes including English Linguistic 10B, 11A, 12C and 13A at Tay Do University that were chosen randomly. The instrument used in this thesis was the questionnaire. The data from questionnaires were statistically analyzed by SPSS English version 20.0 package. Based on research results, the researcher found out some common students’ thoughts on reading culture as well as solutions to develop their reading culture in the future.  Article visualizations

A Rigorous Framework for the Mean Field Limit of Multilayer Neural Networks

We develop a mathematically rigorous framework for multilayer neural networks in the mean field regime. As the network's width increases, the network's learning trajectory is shown to be well captured by a meaningful and dynamically nonlinear limit (the \textit{mean field} limit), which is characterized by a system of ODEs. Our framework applies to a broad range of network architectures, learning dynamics and network initializations. Central to the framework is the new idea of a \textit{neuronal embedding}, which comprises of a non-evolving probability space that allows to embed neural networks of arbitrary widths. We demonstrate two applications of our framework. Firstly the framework gives a principled way to study the simplifying effects that independent and identically distributed initializations have on the mean field limit. Secondly we prove a global convergence guarantee for two-layer and three-layer networks. Unlike previous works that rely on convexity, our result requires a certain universal approximation property, which is a distinctive feature of infinite-width neural networks. To the best of our knowledge, this is the first time global convergence is established for neural networks of more than two layers in the mean field regime