Global Utilities

La Trobe University
Department of Mathematics and Statistics, Bendigo

Publications

Below is a list of publications (since 1995) from the Department of Mathematics and Statistics at La Trobe University, Bendigo. In the list, staff members from the Department are indicated in bold.

 

2012

  • Champion, R., Lenard, C. T., Matthews, C. and Mills, T. M., An introduction to smoothing, The Mathematical Scientist, 37(1) (2012), 1-17
  • Lenard, C. T. and Mills, T. M., Flying the flag for combinatorics, Vinculum, 49(2) (2012), 14-15

2011

  • Byrne, G. and Staehr, L., Women and the Australian ICT industry: An analysis of ABS census and survey data, in PACIS 2011 Proceedings (AIS Electronic Library (AISeL), 2011), Paper 32, 13 pp. (electronic). The full text is available online.
  • Champion, R. and Champion, W. L., Departure from linear mechanical behaviour of a helical spring, Mathematical and Computer Modelling, 53(5-6) (2011), 915–926
  • David, V. M., Bousounis, G., Kapakoulakis, T., Champion, R., Masman, K. and McCullough, K., Correlation of MAPT scores with clinical and radiographic assessment of patients awaiting THR/TKR, ANZ Journal of Surgery, 81(7-8), (2011), 543-546
  • Fitina, L., Lenard, C. T. and Mills, T. M., A note on edge-connectivity of the Cartesian product of graphs, Bulletin of the Australian Mathematical Society, 84(1) (2011), 171-176
  • Fitzpatrick, T. and Mills, T., Review of "Beckmann, C. E., Thompson, D. R. and Rubenstein, R. N. 'Teaching and Learning High School Mathematics', John Wiley & Sons, Hoboken, NJ, 2010", The Australian Mathematics Teacher, 67(1) (2011), 13
  • Martin, M., Champion, R., Kinsman, L. and Masman, K., Mapping patient flow in a regional Australian emergency department: A model driven approach, International Emergency Nursing, 19(2) (2011), 75-85
  • Mills, F. and Mills, T., Review of "Taimina, D. 'Crocheting Adventures with Hyperbolic Planes', A. K. Peters, Wellesley, Mass., 2009", The Australian Mathematical Society Gazette, 38(2) (2011), 100-102. The full text is available online.
  • Smith, S. J., A simple error estimate for Newton-Cotes integration, Far East Journal of Mathematical Sciences (FJMS), 53(1) (2011), 45-52

2010

  • Fitina, L., Lenard, C. T. and Mills, T. M., A note on the connectivity of the Cartesian product of graphs, The Australasian Journal of Combinatorics, 48 (2010), 281-284
  • Fitina, L., Lenard, C. T. and Mills, T. M., Review of "Imrich, W., Klavzar, S. and Rall, D. F. 'Topics in Graph Theory: Graphs and Their Cartesian Products', A. K. Peters, Wellesley, Mass., 2008", The Australian Mathematical Society Gazette, 37(1) (2010), 36-38. The full text is available online.

2009

  • Aberdeen, S., Leggat, S., Byrne, G. and Barraclough, S., Synthesizing evidence of improved care planning and organizational learning from team problem-solving for residents with dementia, in C. Cafcakis (ed), Proceedings of The Joanna Briggs Institute 2009 National Australian Conference on Evidence-based Clinical Leadership
  • Byrne, G., Charlton, M. and Fotheringham, S., Multiple dependent hypothesis tests in geographically weighted regression, in B. G. Lees and S. W. Laffan (eds), Proceedings of the 10th International Conference on GeoComputation, UNSW, Sydney, November - December, 2009 (UNSW: Sydney, 2009), 42-46. The full text is available online.
  • Fahey, C., Lenard, C. T., Mills, T. M. and Milne, L., Calculus: A Marxist approach, The Australian Mathematical Society Gazette, 36(4) (2009), 258-265. The full text is available online.
  • Fitzpatrick, T., Itter, D., Lenard, C. T., Mills, T. and Milne, L., Fibonacci and proportions, in D. Martin et al. (eds), Mathematics of Prime Importance. Proceedings of the 46th Annual Conference of Mathematical Association of Victoria, 3-4 Dec 2009 (The Mathematical Association of Victoria: Melbourne, 2009), 80-86
  • Fitzpatrick, T., Martin, M. and Mills, T., Easter algorithms, Vinculum, 46(3) (2009), 16-17
  • Hamilton-Keene, R., Lenard, C. T. and Mills, T. M., Probability and cancer clusters, Australian Senior Mathematics Journal, 23(2) (2009), 26-29
  • Martin, D., Fitzpatrick, T., Hunting, R., Itter, D., Lenard, C., Mills, T. and Milne, L. (eds), Mathematics of Prime Importance. Proceedings of the 46th Annual Conference of Mathematical Association of Victoria, 3-4 Dec 2009 (The Mathematical Association of Victoria: Melbourne, 2009)
  • Mills, F. and Mills, T. M., Review of "Belcastro, S.-M. and Yackel, C. (eds) 'Making Mathematics with Needlework', A. K. Peters, Wellesley, Mass., 2008", The Australian Mathematical Society Gazette, 36(2) (2009), 137-138. The full text is available online.
  • Mills, T., Multiplication in ancient Egypt, Prime Number, 24(1) (2009), 20
  • Mills, T. and Milne, L., Long primes and curious decimals, Cross Section, 19(1) (2009), 1-3
  • Smith, S. J., On a weighted interpolation of functions with circular majorant, Journal of Inequalities in Pure and Applied Mathematics, 10(2) (2009), Article 33, 10 pp. (electronic). The full text is available online.

2008

  • Byrne, G. J. and Staehr, L., Internet use and the workplace: The Australian Experience, IEEE Technology and Society Magazine, 27(4) (2008), 14-19
  • Crombie, A., Ham, J., Masman, K. and Mills, T. M., Planning for transition care, Australian Health Review, 32(3) (2008), 505-508
  • Itter, D., Lenard, C. T. and Mills, T. M., Fibonacci and fractions, in J. L. Vincent, R. Pierce and J. Dowsey (eds), Connected maths. Proceedings of the 45th Annual Conference of Mathematical Association of Victoria, 4-5 Dec 2008 (The Mathematical Association of Victoria: Melbourne, 2008), 157-162
  • Johnson, L. W., Walker, R. H. and Byrne, G., The perceived impact of Australian community banks on quality of life, The Melbourne Review, 4(1) (2008), 64-69
  • Kinsman, L., Champion, R., Lee, G., Martin, M., Masman, K., May, E., Mills, T., Taylor, M. D., Thomas, P., Williams, R. J. and Zalstein, S., Assessing the impact of streaming in a regional emergency department, Emergency Medicine Australasia, 20(3) (2008), 221-227
  • Schutz, J. W., A system of axioms for hyperbolic geometry, Journal of Geometry, 90(1-2) (2008), 185-192

2007

  • Champion, R. and Champion, W. L., The extension and oscillation of a non-Hooke's law spring, European Journal of Mechanics - A/Solids, 26(2) (2007), 286-297
  • Champion, R., Kinsman, L., Lee, G., May, E., Masman, K., Mills, T. M., Taylor, M., Thomas, P. and Williams, R. J., Forecasting emergency department presentations, Australian Health Review, 31(1) (2007), 83-90
  • Champion, W. L., Mills, T. M. and Smith, S. J., Lost in space, The Mathematical Scientist, 32(2) (2007), 88-96
  • Lenard, C., Itter, D., Mills, T. and Yaneff, C., There's more to Fibonacci than rabbits, in J. Vincent, J. Dowsey and R. Pierce (eds), Mathematics - Making Sense of our World. Proceedings of the 44th Annual Conference of Mathematical Association of Victoria, 6-7 Dec 2007 (The Mathematical Association of Victoria: Melbourne, 2007), 150-158
  • Lenard, C. and Mills, T., Chess and maths, The Helix, Issue 117 (Dec 2007-Jan 2008), 26-27
  • Mills, T. M., A course on the history of mathematics, The Australian Mathematical Society Gazette, 34(4) (2007), 195-201. The full text is available online.
  • Mills, T. M., Review of "Bogachev, V. I., 'Measure Theory', Vols 1, 2, Springer, New York, 2007", The Australian Mathematical Society Gazette, 34(3) (2007), 172-173. The full text is available online.
  • Mills, T. M. and Sullivan, P., Mathematics - at your service, in K. Ko and D. Arganbright (eds), Enhancing University Mathematics: Proceedings of the First KAIST International Symposium on Teaching, CBMS Issues in Mathematics Education, Vol. 14 (American Mathematical Society: Providence, 2007), 63-75. [This is a reprint of a 2005 paper with the same title.]
  • Schutz, J. W., A projective characterisation of ellipsoids by isotropy, Journal of Geometry, 87(1-2) (2007), 143-149
  • Walker, R. H., Byrne, G. and Johnson, L. W., Developing a quality of life measure to assess the impact of community services: The case of Australian community banks, Journal of Macromarketing, 27(4) (2007), 380-388

2006

  • Byrne, G. and Staehr, L., Current internet use in Australia: A closer look at the digital divide, in S. Spencer and A. Jenkins (eds), Proceedings of the 17th Australasian Conference on Information Systems (Australasian Association for Information Systems: 2006)
  • Hyett, Kate and Mills, T. M., Review of "McDowell, I., 'Measuring Health: A Guide to Rating Scales and Questionnaires', Oxford University Press, New York, 2006", Australian Health Review, 30(3) (2006), 407-408
  • Mills, T. M., Review of "Brandeau, M. L., Sainfort, F. and Pierskalla, W. (eds), 'Operations Research and Health Care: A Handbook of Methods and Applications', Kluwer, Dordrecht, 2004", Australian Health Review, 30(3) (2006), 406-407
  • Mills, T. M., Review of "Ozcan, Y. A., 'Quantitative Methods in Health Care Management: Techniques and Applications', Jossey-Bass, San Francisco, 2005", Australian Health Review, 30(3) (2006), 405-406
  • Smith, S. J., Lebesgue constants in polynomial interpolation, Annales Mathematicae et Informaticae, 33 (2006), 109-123. The full text is available online.
  • Smith, S. J., On a conjecture for weighted interpolation using Chebyshev polynomials of the third and fourth kinds, Carpathian Journal of Mathematics, 22(1-2) (2006), 147-151. The full text is available online.
  • Staehr, L., Byrne, G. and Bell, E., Gender and the Australian IT industry, in E. Trauth (ed), Encyclopedia of Gender and Information Technology (Idea Group Reference: Hershey, PA, 2006), 467-473

2005

  • Byrne, G., Rogers, M., Jobling, E., Walker, R. H. and Johnson, L. W., Community banks in Australia: an innovative approach to social and economic wealth creation?, International Journal of Entrepreneurship and Innovation Management, 5(5-6) (2005), 495–507. The full text is available online.
  • Cerone, P., Dragomir, S. S. and Mills, T. M., Discrete Chebychev for means of sequences of different lengths, East Asian Mathematical Journal, 21(2) (2005), 137-149
  • Guo, W., Mills, T. M., Milne, L. and Taylor, C., Marketing research in tourism, in Aaker, D., Kumar, V., Day, G. and Lawley, M., Marketing Research: The Pacific Rim Edition (John Wiley & Sons Australia: Milton, 2005), 616-626
  • Lenard, C. and Mills, T., Review of "B. Scholkopf and A. Smola, 'Learning with Kernels: Support Vector Machines, Regularization, Optimization, and Beyond', MIT Press, Cambridge Mass, 2002", The Australian Mathematical Society Gazette, 32(3) (2005), 201-203
  • Mills, T. M. and Sullivan, P., Mathematics—at your service, in Ki Hyoung Ko and D. Arganbright (eds), Proceedings 1st KAIST International Symposium on Enhancing the Teaching of Undergraduate Mathematics in Universities, Daejeon, 12-16 May 2005 (Korea Advanced Institute of Science and Technology: Daejeon, 2005), 81-93
  • Smith, S. J., On the projection norm for a weighted interpolation using Chebyshev polynomials of the second kind, Mathematica Pannonica, 16(1) (2005), 95-103
  • Smith, S. J., The Lebesgue function for Lagrange interpolation on the augmented Chebyshev nodes, Publicationes Mathematicae Debrecen, 66(1-2) (2005), 25-39

2004

  • Byrne, G. and Pezic, A., Modelling internal migration drivers with geographically weighted regression, in A. Evans (ed), Proceedings of the 12th Biennial Conference of the Australian Population Association (Australian Population Association: Canberra, http://www.apa.org.au/index/apa2004, 2004). The full text is available online.
  • Byrne, G. J. and Staehr, L. J., The evaluation of a computer ethics program, in E. B. Cohen (ed), Proceedings of the 2004 Informing Science + Information Technology Education Joint Conference (Informing Science Institute: ISSN 1535-0703, 2004), 931-939. The full text is available online.
  • Byrne, G., Walker, R., Rogers, M. and Jobling, E., Community-initiated collaborative new enterprise development - A business model with potential for developing social capital as well as economic growth, in Mittlestaedt, J. D. and Shapiro, S. J. (eds), Macromarketing Scholarship & Education for a Global Century: Papers of the 29th Annual Macromarketing Seminar, Vancouver, May 29-June 1, 2004 (Simon Fraser University: Vancouver, British Columbia, 2004), 201-210
  • Champion, R., Lenard, C. T. and Mills, T. M., Splines, in J. Teugels and B. Sundt (eds), Encyclopedia of Actuarial Science, vol. 3 (John Wiley and Sons: Chichester, 2004), 1584-1586
  • Mills, T. M., A mathematician goes to hospital, The Australian Mathematical Society Gazette, 31(5) (2004), 320-327
  • Oerlemans, M., Mills, T. M. and Ham, J., Measuring patient satisfaction, in M. Curtis (ed), Quality: The Key to Organisational Prosperity. Proceedings of QUALCON 2004, 17-20 Oct 2004, Adelaide, vol. 2 (Australian Organisation for Quality: Walkerville, SA, 2004), 357-366

2003

  • Alpay, D. and Mills, T. M., A family of Hilbert spaces which are not reproducing kernel Hilbert spaces, Journal of Analysis and Applications, 1(2) (2003), 107-111
  • Cerone, P. and Lenard, C. T., On integral forms of generalised Mathieu series, Journal of Inequalities in Pure and Applied Mathematics, 4(5) (2003), Article 100, 11 pp. (electronic). The full text is available online.
  • Champion, R. and Champion, W. L., The oscillation of a loaded spring, The Mathematical Scientist, 28(2) (2003), 67-78
  • Goddard, P. W. and Mills, T. M., Models of congestion in hospitals, The Australian Mathematical Society Gazette, 30(3) (2003), 127-141
  • Mills, T. M., Review of "Sylvain Sorin, 'A First Course on Zero-Sum Repeated Games', Springer-Verlag, Berlin, 2002", The Australian Mathematical Society Gazette, 30(3) (2003), 170-172
  • Staehr, L. J. and Byrne, G. J., Using the defining issues test for evaluating computer ethics teaching, IEEE Transactions on Education, 46(2) (2003), 229-234

2002

  • Byrne, G. and Staehr, L., International internet based video conferencing in distance education: A low-cost option, in Proceedings of the Informing Science + IT Education Conference June 19-21, 2002 Cork, Ireland (Informing Science Institute: ISSN 1535-0703, http://proceedings.informingscience.org/IS2002Proceedings/index.htm, 2002), 187-194. The full text is available online.
  • Mills, T. M. and Oerlemans, M., A question of satisfaction, Momentum, Issue 8 (2002), 60-62
  • Smith, S. J., The Lebesgue function for Hermite-Fejér interpolation on the extended Chebyshev nodes, Bulletin of the Australian Mathematical Society, 66(1) (2002), 151-162

2001

  • Brew, C., Milne, L., Tobias, S. and Leigh-Lancaster, D., From CATS to coursework: Teacher feedback on the VCE Mathematics 2000, in P. Jeffrey (ed), Australian Association for Research in Education Sydney 2000 Conference Papers (Australian Association for Research in Education: ISSN 1324-9339, http://www.aare.edu.au/confpap.htm, 2001). The full text is available online.
  • Brew, C., Tobias, S., Milne, L. and Leigh-Lancaster, D., From CATs to course work: Senior mathematics teachers' feedback on the VCE 2000, Australian Senior Mathematics Journal, 15(2) (2001), 5-18
  • Mills, T. M., Problems in Probability. Series on Concrete and Applicable Mathematics, 2 (World Scientific: Singapore, 2001; x+181 pp)
  • Mills, T. M. and Vértesi, P., An extension of the Grünwald-Marcinkiewicz interpolation theorem, Bulletin of the Australian Mathematical Society, 63(2) (2001), 299-320
  • Milne, L., Itter, D., Brew, C. and Tobias, S., The teachers' voice – Assessment 2000: Mathematics teachers and their experience of the VCE, in C. Vale, J. Horwood and J. Roumeliotis (eds), 2001 A Mathematical Odyssey (The Mathematical Association of Victoria: Brunswick, Victoria, Australia, 2001), 417-427
  • Staehr, L. and Byrne, G. J., Using the defining issues test to evaluate computer ethics teaching, in T. W. Bynum et al (eds), Proceedings of the Fifth International Conference on the Social and Ethical Impacts of Information and Communication Technologies (Wydawnictwo Mikom: Gdansk, Poland, 2001), 127-137
  • Staehr, L., Martin, M. B. and Byrne, G. J., Computer attitudes and computing career perceptions of first year computing students, in A. Harriger (ed), Informing Science: Where Parallels Intersect. e-Proceedings of the 2001 Informing Science Conference (Informing Science Institute: ISSN 1535-0703, http://proceedings.informingscience.org/IS2001Proceedings/, 2001). The full text is available online.

2000

  • Byrne, G. J., Mills, T. M. and Smith, S. J., On generalized Hermite-Fejér interpolation of Lagrange type on the Chebyshev nodes, Journal of Approximation Theory, 105(2) (2000), 263-278
  • Byrne, G. J., Mills, T. M. and Smith, S. J., The Lebesgue function for generalized Hermite-Fejér interpolation on the Chebyshev nodes, The ANZIAM Journal, 42(1) (2000), 98-109
  • Champion, R., Lenard, C. T. and Mills, T. M., A variational approach to splines, The ANZIAM Journal, 42(1) (2000), 119-135
  • Smith, S. J., Generalized Hermite-Fejér interpolation polynomials, Expositiones Mathematicae, 18(5) (2000), 389-403
  • Staehr, L., Martin, M. B. and Byrne, G. J., An intervention programme for women in computing courses: Does it make a difference?, in L. B. Rasmussen, C. Beardon and S. Munari (eds), Computers and Networks in the Age of Globalization (Kluwer Academic: Boston, 2000), 23-38
  • Staehr, L., Martin, M. B. and Byrne, G. J., Improving the retention rates of women in computing: An intervention program, Journal of College Student Retention: Research, Theory and Practice, 2(2) (2000), 127-140

1999

  • Culvenor, J. M., Godfrey, J. M. and Byrne, G. J., Modelling total accruals in an international environment: The impact of alternative measures of PPE, Journal of International Accounting, Auditing and Taxation, 8(2) (1999), 289-313
  • Mills, T. M. and Tiro, A., A note on sample size in surveys, Eksponen: Jurnal Matematika dan Pendidikan Matematika, 2(1) (1999), 13-18
  • Schutz J. W., Affine structure and isotropy imply Minkowski space-time and the orthochronous Poincaré group, in S. P. Corney, R. Delbourgo and P. D. Jarvis (eds), Group22: Proceedings of the XXII International Colloquium in Group Theoretical Methods in Physics (Hobart, 1998) (International Press: Cambridge, MA, 1999), 250-254
  • Smith S. J., On the fundamental polynomials for Hermite-Fejér interpolation of Lagrange type on the Chebyshev nodes, Journal of Inequalities and Applications, 3(3) (1999), 267-277. The full text is available online.
  • Smith S. J., On the positivity of the fundamental polynomials for generalized Hermite-Fejér interpolation on the Chebyshev nodes, Journal of Approximation Theory, 96(2) (1999), 338-344

1998

  • Champion, R., Lenard, C. T. and Mills, T. M., Actuarial science and variational splines, in M. Dæhlen, T. Lyche and L. L. Schumaker (eds), Mathematical Methods for Curves and Surfaces II: Lillehammer, 1997 (Vanderbilt University Press: Nashville, TN, 1998), 49-54
  • Champion, R., Lenard, C. T. and Mills, T. M., Demonstrating the Durbin-Watson statistic, The Statistician, 47(4) (1998), 643-644
  • Mills, T. M., Joining the dots, Australian Senior Mathematics Journal, 12(1) (1998), 55-62
  • Staehr, L., Martin, M. and Byrne, G., An intervention program for women in computing courses: Does it make a difference?, in S. Munari, G. Krarup and L. B. Rasmussen (eds), Preceedings of the Fifth World Conference Human Choice and Computers HCC-5: Computers and Networks in the Age of Globalization (University of Lausanne, Switzerland, 1998), 231-243

1997

  • Byrne, G. J. and Smith, S. J., Some integer-valued trigonometric sums, Proceedings of the Edinburgh Mathematical Society, 40(2) (1997), 393-401
  • Schutz, J. W., Independent Axioms for Minkowski Space-Time. Pitman Research Notes in Mathematics Series, 373 (Longman: Harlow, UK, 1997; xii+241 pp)

1996

  • Champion, R., Lenard, C. T. and Mills, T. M., An introduction to abstract splines, The Mathematical Scientist, 21(1) (1996), 8-26
  • Champion, R., Lenard, C. T., Mills, T. M. and Petrolito, J., Smoothing methods and engineering, in W. Y. D. Yuen, P. Broadbridge and J. M. Steiner (eds), Engineering Mathematics: Research, Education and Industry Linkage. Proceedings of The Second Biennial Australian Engineering Mathematics Conference AEMC96 Sydney, Australia 15-17 July 1996 (Institution of Engineers, Australia: Barton, ACT, Australia, 1996), 401-407
  • Champion, R. and Mills, T. M., Smoothing spline software packages, in A. K. Easton and J. M. Steiner (eds), The Role of Mathematics in Modern Engineering. Proceedings of AEMC94 1st Biennial Engineering Mathematics Conference held in Melbourne, Australia 11-13 July, 1994 (Studentlitteratur: Lund, Sweden, 1996), 551-558
  • Martin, M., Staehr, L. and Byrne, G., An intervention program for first year female computing students, in Proceedings of the Second Australasia and South Pacific Region GASAT Conference (Auckland College of Education: Auckland, New Zealand, 1996), 79-85
  • Mills, T. M., Review of "A. I. Stepanets, 'Classification and Approximation of Periodic Functions', Kluwer, Dordrecht, 1995", Journal of Approximation Theory, 86(3) (1996), 365-367

1995

  • Byrne, G. J., Mills, T. M. and Smith, S. J., The Lebesgue constant for higher order Hermite-Fejér interpolation on the Chebyshev nodes, Journal of Approximation Theory, 81(3) (1995), 347-367
  • Lenard, C. T., Rank-1 perturbations and the Lanczos method, inverse iteration, and Krylov subspaces, Journal of the Australian Mathematical Society, Series B, 36(4) (1995), 381-388
  • Mills, T. M., Review of "F. Altomare and M. Campiti, 'Korovkin-type Approximation Theory and its Applications', Walter de Gruyter, Berlin, 1994", Journal of Approximation Theory, 82(3) (1995), 473-474
  • Mills, T. M., Review of "P. G. Ciarlet and J. L. Lions (eds) 'Handbook of Numerical Analysis' Vol. III, North Holland, Amsterdam, 1994", Journal of Approximation Theory, 82(3) (1995), 474-475
  • Varma, A. K., Mills, T. M. and Smith, S. J., Markoff type inequalities for curved majorants, Journal of the Australian Mathematical Society, Series A, 58(1) (1995), 1-14