329 research outputs found
Some vanishing theorems on non-compact complex spaces.
No full textby Cheung Wing Sum.Thesis (M.Phil.)--Chinese University of Hong Kong, 1980.Bibliography: leaves 94-98
The Hong Kong money market : facts, performance and developments.
No full textby Sum Yick Fung, Esmond, Sum Kam Wing, Ivan, So Kwan Cheung.Bibliography: leaves 104-105Thesis (M.B.A.)--Chinese University of Hong Kong, 198
Diagonal Forms, Linear Algebraic Methods and Ramsey-Type Problems
No full textThis thesis focuses mainly on linear algebraic aspects of combinatorics. Let N_t(H) be an incidence matrix with edges versus all subhypergraphs of a complete hypergraph that are isomorphic to H. Richard M. Wilson and the author find the general formula for the Smith normal form or diagonal form of N_t(H) for all simple graphs H and for a very general class of t-uniform hypergraphs H.
As a continuation, the author determines the formula for diagonal forms of integer matrices obtained from other combinatorial structures, including incidence matrices for subgraphs of a complete bipartite graph and inclusion matrices for multisets.
One major application of diagonal forms is in zero-sum Ramsey theory. For instance, Caro's results in zero-sum Ramsey numbers for graphs and Caro and Yuster's results in zero-sum bipartite Ramsey numbers can be reproduced. These results are further generalized to t-uniform hypergraphs. Other applications include signed bipartite graph designs.
Research results on some other problems are also included in this thesis, such as a Ramsey-type problem on equipartitions, Hartman's conjecture on large sets of designs and a matroid theory problem proposed by Welsh.</p
Some new weighted hardy-type inequalities for vector-valued functions
No full textThis is a continuation of an earlier work of Cheung-Pečarić. By using the C-technique developed by Cheung and Pečarić, some new and interesting Hardy-type inequalities involving vector-valued functions are established. These generalize and imporve some known results by Cheung, Cheung-Hanjš-Pečarić, Izumi-Izumi, and Pachpatte. © ELEMENT, Zagreb.link_to_subscribed_fulltex
Some new nonlinear retarded sum-difference inequalities with applications
No full textAbstract The main objective of this paper is to establish some new retarded nonlinear sum-difference inequalities with two independent variables, which provide explicit bounds on unknown functions. These inequalities given here can be used as handy tools in the study of boundary value problems in partial difference equations. 2000 Mathematics Subject Classification: 26D10; 26D15; 26D20.</p
IT training needs assessment for teachers in a pre-school
No full textThe IT training needs assessment (TNA) aims to identify the skills, knowledge and attitude that the teachers in ABC Kindergarten should process and what they already have, when IT is introduced in the classroom.Master of Arts (Instructional Design & Technology
The analysis, design and development of a social studies instructional package for a primary school
No full textThe focus of this dissertation is the creation of an instructional package, which is based on the new Ministry of Education Social Studies syllabus, for the Primary 4 Social Studies teachers of the XYZ school. The purpose is to help the teachers overcome the obstacle of insufficient resources for effective teaching.Master of Arts (Instructional Design & Technology
Evaluating the extent of participation and quality of thinking among pre-service teachers in an asynchronous online discussion environment
No full textThe first purpose of this study was to develop a framework to evaluate the extent of participation and a framework to measure the quality of thinking in an online asynchronous discussion. The second purpose was to use these frameworks to analyse the pre-service teachers’ discussion transcripts.Master of Arts (Instructional Design & Technology
Some new nonlinear retarded sum-difference inequalities with applications
No full textThe main objective of this paper is to establish some new retarded nonlinear sum-difference inequalities with two independent variables, which provide explicit bounds on unknown functions. These inequalities given here can be used as handy tools in the study of boundary value problems in partial difference equations. © 2011 Wang et al; licensee Springer.published_or_final_versio
Logarithmic Convexity of the One-Parameter Mean Values
No full textIn this article, the logarithmic convexity of the one-parameter
mean values J(r) and the monotonicity of the product J(r)J(−r) with r Є R
are presented. Some more general results are established. Three open problems
are posed
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