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Department of Mathematics

LSUS Math Research

Active research in mathematics has long been a major ingredient in the department's menu of activities. Below are some recent publications.

  • Zsolt Lengvárszky, Proving the Pythagorean Theorem via Infinite Dissections, Amer. Math. Monthly 120 (2013), no. 8, 751-753. 
  • Harvey Rubin and Carlos Spaht, Financial Independence through Dollar Cost Averaging and Dividend Reinvestments, Journal of Applied Business and Economics 12 (4), 11-19.
  • Zsolt Lengvárszky, Convexity and Center of Mass, Mathematics Magazine  84, no. 3 (June 2011),  215-221. [Abstract (journal's website)]
  • Rick Mabry, Crosscut Convex Quadrilaterals, Mathematics Magazine 84, no.1 (Feb. 2011), 16-25. [Abstract (journal's website)]
  • Zsolt Lengvárszky and Péter Pál Pach, A note on systems of rectangular islands: the continuous case, Acta Sci. Math. (Szeged) 77, nos. 1-2 (2011), 27-34. [Abstract and Preview (journal's website)]
  • Steven D. Smith (LSUS student) and Rick Mabry, The determinant of a Kronecker Product (Solution to Problem 1833), Math. Mag. 83, no. 5 (Dec. 2010), 394-395.
  • Tapolyai M, Uysal A, Dossabhoy NR, Zsom L, Szarvas T, Lengvárszky Z, Fülöp T., High prevalence of Liddle syndrome phenotype among hypertensive US Veterans in Northwest Louisiana, J Clin Hypertens (Greenwich) 12, no. 11 (Nov 2010), 856-860. [Abstract (Pub. Med.)]
  • Harvey Rubin and Carlos Spaht, Financial Independence: Attainable, Maintainable, Journal of Applied Business and Economics 11, no. 3 (2010), 11-18. [Abstract and PDF (journal's website)]
  • Fülöp T, Pathak MB, Schmidt DW, Lengvárszky Z, Juncos JP, Lebrun CJ, Brar H, Juncos LA, Volume-related weight gain and subsequent mortality in acute renal failure patients treated with continuous renal replacement therapy, ASAIO J 56, no. 4 (Jul-Aug 2010), 333-337. [Abstract (Pub. Med.)]
  • Tapolyai M, Fülöp T, Uysal A, Lengvárszky Z, Szarvas T, Ballard K, Dossabhoy NR, Regional differences in nonadherence to dialysis among southern dialysis patients: a comparative cross-sectional study to the dialysis outcomes and practice patterns study, Am J Med Sci 339, no. 6 (Jun 2010), 516-518. [Abstract (Pub. Med.)]
  • Richard D. Mabry, Stretched shadings and a Banach measure that is not scale-invariant, Fundamenta Mathematicae 209 (2010), no. 2, 95-113. [Abstract (journal's website)]
  • Curtis L. Wesley, Linda J. S. Allen, Michel Langlais, Models for the Spread and Persistence of Hantavirus Infection in Rodents and Indirect Transmission to Humans, Mathematical Biosciences and Engineering 7, no. 1 (2010), 195-211. [Abstract (journal's website)]
  • Rick Mabry, The Hardest Straight-in Pool Shot, College Mathematics Journal 41, no. 1 (Jan. 2010), 49-57. [Abstract (journal's website)] 
  • Zsolt LengvárszkyOn the combinatorics of an origami model, Discrete Mathematics 309, no. 12 (2009), 4171-4175. [Summary (Zentralblatt)]
  • Curtis L. Wesley and Linda J.S. Allen, The Basic Reproduction Number in Epidemic Models with Periodic Demographics, Journal of Biological Dynamics 3, nos. 2-3 (2009), 116-129. [Abstract (journal's website)]
  • Zsolt Lengvárszky, Notes on Systems of Triangular Islands, Acta Sci. Math. (Szeged) 75, nos. 3-4 (2009), 369-376. [Abstract and Preview (journal's website)]
  • Rick Mabry and Laura McCormick (LSUS student), Square products of punctured sequences of factorials, Gaz. Aust. Math. Soc., 36, no. 53 (Nov. 2009), 346-352. [PDF (journal's website)]
  • Allen LJ, Wesley CL, Owen RD, Goodin DG, Koch D, Jonsson CB, Chu YK, Shawn Hutchinson JM, Paige RL, A habitat-based model for the spread of hantavirus between reservoir and spillover species, J Theor Biol 260, no. 4 (Oct 2009), 510-522. [Abstract (Pub. Med.)]
  • Zsolt LengvárszkyThe size of maximal systems of square islands, European Journal of Combinatorics 30, no. 4 (May 2009), 889-892. [Abstract (ACM Portal)]
  • Rick Mabry and Paul Deiermann, Of Cheese and Crust: A Proof of the Pizza Conjecture and Other Tasty Results, Amer. Math. Monthly 116, no. 5 (May 2009), 423-438. [Abstract (journal's website)]
  • Zsolt Lengvárszky, The minimum cardinality of maximal systems of rectangular islands, European Journal of Combinatorics, 30 (2009), 216-219. [Abstract (ACM Portal)]
  • Paul Sisson, College Algebra, 2nd ed, Hawkes Publishing © 2008. ISBN 1-932628-27-4. [Contents (publisher's website)]
  • Zsolt Lengvárszky, Reflective Polyhedra, Geombinatorics, 18 (2008), 35-45.
  • Paul SissonFractal Art Using Variations on Escape Time Algorithms in the Complex Plane. Journal of Mathematics and the Arts, 1 (2007), no. 1, 41-45. [Abstract and Preview (journal's website)]
  • Harvey Rubin and Carlos Spaht, Projections in Accumulations of Stock Value at Different Dividend Tax Rates, Journal of Applied Business and Economics 7, no. 1 (2007), 33-50. [PDF (journal's website)]
  • Deborah K. Shepherd, k-out-of-n Systems, Encyclopedia of Statistics in Quality and Reliability, John Wiley & Sons, 2007, 891-900. [Abstract (publisher's website)]
  • Charles W. Champ and Deborah K. Shepherd, Moving Range and R Charts, Encyclopedia of Statistics in Quality and Reliability, John Wiley & Sons, Ltd, 2007, 1133-1138. [Abstract (publisher's website)]
  • Stephen W. Banks, Deborah K. Shepherd, Tara Williams-Hart, Dalton R. Gossett, Amanda C. Crnkovic, Snail Shells in a Practical Application of Statistical Procedures, The Journal of Biological Education 41, no. 3 (Summer 2007). [Abstract and Preview (journal's website)]
  • Deborah K. Shepherd, Charles W. Champ, Steven E. Rigdon, and Howard T. Fuller, Attribute Charts for Monitoring a Dependent Process, Quality and Reliability Engineering International 23, no. 3 (April 2007), 341-365. [Abstract (journal's website)]
  • Richard D. Mabry, No nontrivial Hamel basis is closed under multiplication, Aequationes Mathematicae, 71 (2006), no. 3, 294-299. [Abstract(Zentralblatt)]
  • Paul SissonPrecalculus, Hawkes Publishing © 2006. ISBN 0-918091-89-6. [Contents (publisher's website)]
  • Zsolt Lengvárszky, Compound Platonic Polyhedra in Origami, Mathematics Magazine, 79 (June, 2006), 190-198. [Abstract (journal's website)]