Bulletin Summer 1975

Circuits (supervised by Mr. J.S. Dahele), Liquid Crystals (supervised by Dr. York Liao), and Bioelectronics (supervised by Mr. T . C. Choy), Plasma Physics (supervised by Dr. K . F. Lee), and Digital Signal Processing in Avionic Instrumentation (supervised by Mr. J.G.N. Lee). The Furnace System under clean-room conditions Mathematics Members of the Mathematics Board have likewise been actively engaged in research and their numerous publications bear testimony to their achievements. Their research interests cover such fields as functional analysis, algebra, statistics, geometry, topology and applicable mathematics. In 1973, Dr. Yau-Chuen Wong and Dr. Kung- Fu Ng jointly published a book on Partially Ordered Topological Vector Spaces. Continuing their research in the field, Dr. Ng is now working on Choquet Boundary Theory, and Dr. Wong Ordered Nuclear Spaces. Dr. Wong's monograph on The Topology of Uniform Convergence on Order-bounded Sets, an account of the most recent developments in Nuclear Spaces, will be published shortly. Analysis is also done by Dr. H.L. Chow, Dr. P.K. Tam and Mr. K .W. Yip. A draft of a monograph on probability measures on compact semigroups written by Dr. H.L. Chow in collaboration with Dr. S.T.C. Choy of the University of Singapore has just been completed. Papers on C* and W*- Algebra and on measure theory have been published by Dr. P.K. Tam and Mr. K .W. Yip respectively. Research on classical analysis is done by Dr. C.H. Yong Chao, Mr. M.L. Chu and Miss H.Y. Wang. In 1974 Dr. C.H. Yong Chao published her findings in real Fourier Analysis in book form, Asymptotic Behaviour of Trigonometric Series. In the field of Algebra, research and publications are on ideals and radical theory in semigroups (Dr. K.P. Shum), Finite Group Theory (Dr. R.F. Turner- Smith), Lie Groups (Dr. S.T. Tsou), Group Representat Theory (Mr. L.O. Tse) and Number Theory (Mr. C.J. Chang). In the field of Mathematical Statistics, problems of estimation for the parameters of a linear functional relation in which all variables are observed subject to error have been investigated by Dr. N.N. Chan. Dr. Chan has written a few papers on the best linear unbiased estimates based on selected order statistics from a location and scale family of probability distributions. Another faculty member who has published a number of papers on Applicable Mathematics is Dr. W. L. Chan, whose research interests are in the areas of optimal control, system theory and differential games. In the theory of Geometry and Topology, Dr. T . C. Kuo's research efforts have been on Topological Classification of Analytic Singularities. Mr. M. L. Chu has just succeeded in giving proof for the general case of "Covariant Differentiat on Formulae". Dr. E J . Brody, whose field of interest is algebraic topology and probability theory, has translated mathematical research documents from Chinese into English, and published papers in Quantum Mechanics. Physics Research in Polymer Physics Much effort at the Physics Department is being put into the study of solids made of high polymers. "Polymer" refers to substances consisting of giant molecules produced by stringing together thousands and even millions of simple organic molecules in a chain-like manner. Such substances can be cheaply produced in very large quantities from oil derivatives ； their structures and properties can also be closely controlled and even “specified"through molecular engineering. Consequently, an ever-increasing variety of objects commonly encountered in modern life are made of polymeric substances, for example, plastic bags and containers, styrofoam mattresses, nylon stockings, terylene shirts and suits, and the many plastic parts found on a car, to name just a few. In fact, modern life would become rather difficult without polymers. 11