RESEARCH AND SCHOLARSHIP 1999
RESEARCH OUTPUT
DEPARTMENT OF MATHEMATICS

Academic Refereed

Journal articles, book chapters and other published papers

Borwein, J. and Choi, S.K.K. On the Representations of xy + xz + yz. Experimental Mathematics, 1999, 8.

Borwein, P. and Choi, S.K.K. Merit Factors of Character Polynomials. Journal of the London Mathematical Society, 1999, 18.

Bump, D., Choi, S.K.K., Kurlberg, P. and Vaaler, J. A Local Riemann Hypothesis I. Mathematische Zeitschrift, 1999, 19.

Chan, K.Y., Jing, Z. and Zeng, X. Multiple limit cycles and global stability in predator-prey model. Acta Mathematicae Applicate Sinica, China, 1999, 15(2): 206-219.

Cheung, W.S. and Pecaric, J. Multi-dimensional Integral Inequalities of the Wirtinger-type. Mathematical Inequalities and Applications, 1998, 1(4): 481-489.

Cheung, W.S. Some Multi-dimensional Integral Inequalities. Nonlinear Mathematical Analysis and its Applications, Palm Harbor, USA, Hadronic Press, 1998, 19-38.

Cheung, W.S. Some New Multi-dimensional Opial-type Inequalities. New Approaches in Nonlinear Analysis, Palm Harbor, USA, Hadronic Press, 1999, 73-84.

Choi, S.K.K. and Borwein, K.K. On the Cyclotomic Polynomials with Coefficients +1 or -1. Experimental Mathematics, 1998, 13.

Choi, S.K.K. On the Distribution of Points in Projective Space of Bounded Height. Transactions of the American Mathematical Society, 1999, 40.

Chu, S.C.K. Congestion Modeling and Multi-Criteria Smoothing Heuristics. Stewart, T. and van der Honert, R. (Ed.), Trends in Multicriteria Decision Making. Lecture Notes in Economics and Mathematical Systems, Berlin, Heidelberg, Germany, Springer-Verlag, 1998, 465: 400-411.

Chu, S.C.K., Ho, M.P.P. and Lee, K.K.Y. Analyses of Operational Performance of Maternal and Child Health (MCH) Services in Hong Kong. Yugoslav Journal of Operations Research, 1999, 9: 59-73.

Chu, S.C.K. and Chan, E.C.H. Crew Scheduling of Light Rail Transit in Hong Kong: from modeling to implementation. Computers and Operations Research, 1998, 25: 887-894.

Drensky, V.S. and Yu, J. Test polynomials for automorphisms of polynomial and free associate algebras. Journal of Algebra, 1998, 207: 491-510.

Drensky, V.S. and Yu, J. Exponential automorphisms of polynomial algebras. Communications in Algebra, 1998, 26: 2977-2986.

Drensky, V.S., Gutierrz, J. and Yu, J. Grner bases and the Nagata automorphism. J. Pure. Appl. Algebra, 1999, 135: 135-153.

Fung, C.I., Siu, M.K., Wong, K.M. and Wong, N.Y. A dialogue on the teaching of complex numbers and beyond. Mathematics Teaching, 1998, 164: 26-31.

Liu, J., Liu, M.C. and Wang, T. The number of powers of 2 in a representation of large even integers, II. Science in China, Series A, Beijing, China, 1998, 28 (Chinese version): 802-817.

Liu, J., Liu, M.C. and Wang, T. The number of powers of 2 in a representation of large even integers, II. Science in China, Series A, Beijing, China, 1998, 41 (English version): 1255-1271.

Liu, M.C. and Wang, T. A numerical bound for small prime solutions of some ternary linear equations. Acta Arithmetica, Warszawa, Poland, 1998, 86: 343-383.

Liu, M.C. and Wang, T. On the equation a1p1+a2p2+a3p3=b with prime variables in arithmetic progression. Number Theory, Fifth Conference of the Canadian Number Theory Association, Centre de Recherches Mathematiques Proceedings and Lecture Notes, Montreal, Canada, American Mathematical Society, 1999, 19: 243-264.

Mikhalev, A.A. and Umirbaev, U.U. Subalgebras of free Leibnitz algebras. Communications in Algebra, New York, USA, Marcel Dekker, Inc., 1998, 26: 435-446.

Mikhalev, A.A. and Zolotykh, A.A. Standard Grner-Shirshov bases for free algebras over rings, I. Free associative algebras. International Journal of Algebra and Computation, Singapore, World Scientific, 1998, 8: 689-726.

Mikhalev, A.A., Shpilrain, V. and Yu, J. On homomorphisms of free algebras. Algebra Colloquium, Singapore, Springer-Verlag, 1999, 6: 241-248.

Mikhalev, A.A. and Yu, J. Test elements, retracts and automorphic orbits of free algebras. International Journal of Algebra and Computation, Singapore, World Scientific, 1998, 8: 295-310.

Mok, N. and Hwang, J. Holomorphic maps from rational homogeneous spaces of Picard number 1 onto projective manifolds. Inventiones Mathematicae, Heidelberg-Berlin, Germany, Springer-Verlag, 1999, 136: 209-231.

Mok, N. G-structures on irreducible Hermitian symmetric spaces of rank „d 2 and deformation rigidity. Contemporary Mathematics, 1999, 222: 81-107.

Ng, K.P. Heuristics Approach to Printed Circuit Board Insertion Problem. Journal of Operational Research Society, 1998, 49: 1051-1059.

Ng, K.P. Fast Iterative Methods for Symmetric Sinc-Galerkin Systems. IMA Journal of Numerical Analysis, 1999, 19: 357-373.

Ng, K.P. and Huang, Z. Data-Mining Time series Astronomical Data: Challenges, Problems and Solutions. Information and Software Technology: Special Issue on Knowledge Discovery and Data Mining, 1999, 41, no.9: 545-556.

Shpilrain, V. and Yu, J. On generators of a polynomial algebra in two commuting or noncommuting variables. J. Pure. Appl. Algebra, 1998, 132: 309-315.

Shpilrain, V. and Yu, J. Embedding of curves in the plane. Journal of Algebra, 1999, 217: 668-678.

Siu, M.K., Chan, Y.C. and Chan, W.K. Minimal rank of abelian group matrices. Linear and Multilinear Algebra, Gordon and Breach, 1998, 44: 277-285.

Siu, M.K. Six proofs of the irrationality of square root of 2. Studies in College Mathematics, 1998, 77: 45-46.

Yu, J. and Drensky, V.S. Orbits in free algebras of rank two. Communications in Algebra, 1998, 26: 1895-1906.

Yu, J. Recognizing automorphisms of polynomial algebras. Matematica Contemporanea, 1998, 14: 215-225.

Yu, J. Complementary conjecture revisited. J. Pure. Appl. Algebra, 1998, 131: 312-319.

Zang, W. Discrete Mathematics. Acyclic Digraphs with the Gallai-Milgram-Linial Property for Clique Covers, Amsterdam, North-Holland, Elsevier Science B.V., 1999, 199: 183-192.

Zolotykh, A.A. and Mikhalev, A.A. Algorithms for construction of standard Grner-Shirshov bases of ideals of free algebras over commutative rings. Programming and Computer Software, Moscow, Russia, Maik Nauka, 1998, 24: 271-272.

Conference and working papers

Chan, R., Chan, T., Ng, K.P., Tang, W. and Wong, C. Preconditioned Iterative Methods for High-resolution Image Reconstruction with Multisensors. Proceedings to the SPIE, Symposium on Advanced Signal Processing: Algorithms, Architectures and Implementations, Ed: Franklin Luk, San Diego CA, 1998, 3461: 348-357.

Cheung, W.S. On Multi-dimensional Opial-type Inequalities. Proceedings of the second international conference on differential equations and applications (St. Petersburg, 1998), 1998, 8-13.

Cheung, W.S. and Osipenko, G. Calculation of Laypunov Exponents. Proceedings of the second international conference on differential equations and applications (St. Petersburg, 1998), 1998, 65-71.

Choi, S.K.K. and Vaaler, J. Diophantine Approximation in Projective Space. Proceedings of the Fifth Conference of the Canadian Number Theory Association, Providence RI, USA, American Mathematical Soc., 1999, 19: 55-65.

Chu, S.C.K., Ho, M.P.P., Lee, K.K.Y. and Lo, H.P. Goal Programming Models for MCH Nurses Allocation in Hong Kong. Du, D-Z., Zhang, X.-S. and Cheng, K. (Ed.), Operations Research and Its Applications. Proceedings of the Third International Symposium, ISORA'98, Kunming, China, Beijing, China, Beijing World Publishing Corporation, 1998, 296-308.

Mikhalev, A.A. and Sereguine, A.V. Standard bases of left ideals of P-type algebras. Algebras and Combinatorics, An International Congress, ICAC'97, Hong Kong, Singapore, Springer-Verlag, 1999, 345-351.

Mikhalev, A.A., Shpilrain, V. and Yu, J. On the dynamics of homomorphisms of free algebras. 10th Conference Formal Power Series and Algebraic Combinatorics, Toronto, Canada, Fields Institute, 1998, 477-486.

Ng, K.P. Parallel K-means-type Algorithms on a IBM SP2 Computer. Proceeding to The 1998 International Conference on Parallel and Distributed Processing Techniques and Applications, Las Vegas, 1998, 1183-1190.

Ng, K.P. and Huang, Z. A Parallel k-prototypes Algorithm for Clustering Large Data Sets in Data Mining. Proceedings to the International Symposium on Intelligent Data Engineering and Learning: Perspectives on Financial Engineering and Data Mining, Hong Kong, Springer Verlag, 1998, 363-370.

Ng, K.P. Latent Semantic Indexing in Information Retrieval Using Matrix Decomposition. Proceedings to the Third Pacific-Asia Conference on Knowledge Discovery and Data Mining, (PAKDD-99), Beijing, China, 1999, 84-89.