Research, Technical Reports and Awards

The Department began publishing its Technical Reports series during the 1998/1999 academic year. The Reports are intended as an internal preprint series to stimulate faculty and student research and publications. It is expected that papers published in the series may undergo some modifications before appearing in a professional journal. This e-mail address is being protected from spambots, you need JavaScript enabled to view it , Chair of the Department, is the Editor of the Reports.

Guidelines for the Authors

TTU mathematics faculty and students should submit to the Editor one printed copy of the paper along with a diskette containing .tex and .dvi files along with all macros and picture files needed to process the .tex file. It is preferred that papers be submitted in LaTeX2e using \documentclass{article} style. Submission in AMS-TeX is also possible. For more information regarding the technical aspects please contact This e-mail address is being protected from spambots, you need JavaScript enabled to view it .

Downloading

The following Technical Reports have been published and are available for downloading.

2013

  • "The Genre of Proof", Annie Selden, and John Selden, New Mexico State University, Tech Report No. 2013-1, downloadable file 503 KB
  • "Bilinear Covariants and Spinor Field Classification in Quantum Clifford Algebras" Rafal Ablamowicz, Department of Mathematics, TTU, Icaro Gonclaves, and Roldao Da Rocha, Centro de Matematica, Computacao e Congnicao, Universidade Federal do ABC, Tech Report No. 2013-2downloadable file 192 KB
  • "The Importance of, and the Need for, Research on How Students Read and Use their Mathematics Textbooks", Annie Selden, New Mexico State University, and Mary D. Shepherd, Northwest Missouri State University, Tech Report No. 2013-3downloadable file 224 KB
  • "Rings of Invariants for Salingaros' Vee Groups", Aravwla Mudalige Dona Madhusha Shadini, Department of Mathematics, TTU, Tech Report No. 2013-4,  downloadable file 100KB

2012

  • "Using Periodicity Theorems for Computations in Higher Dimensional Clifford Algebras", Rafal Ablamowicz, Department of Mathematics, TTU, and Bertfried Fauser, School of Computer Science, The University of Birmingham, Edgbaston-Birmingham, Tech Report No. 2012-1, downloadable file 167KB
  • "On Parallelizing The Clifford Algebra Product for Clifford", Rafal Ablamowicz, Department of Mathematics, TTU, and Bertfried Fauser, School of Computer Science, The University of Birmingham, Edgbaston-Birmingham, Tech Report No. 2012-2, downloadable file 124 KB
  • "Square Roots of -1 in Real Clifford Algebras", Eckhard Hitzer,Department of Applied Physics, University of Fukui, Japan, Jacques Helmstetter, Universite Greauble I, Institut Fourier Mathematiques, France, and Rafal Ablamowicz, Department of Mathematics, TTU, Tech Report No. 2012-3, downloadable file 378.42 KB
  • "Homeomorphisms on a Cantor Set with Subsequentially Dense Orbits", Andrzej Gutek, Department of Mathematics, TTU, Tech Report No. 2012-4, downloadable file 263 KB
  • "Text Revelance and Learning from One's Undergraduate Mathematics Textbook", Annie Selden, New Mexico State University, and Mary D. Shepherd, Department of Mathematics, Northwest Missourt State University, Tech Report No. 2012-5, downloadable file 342 KB
  • "A Home for RUME: The Story of the Formation of the Mathematical Association of America's Special Interest Group of Research in Mathematical Education", Annie Selden, New Mexico State University, Tech Report No. 2012-6, downloadable file 690KB

2011

  • "Transposition Anti-Involution in Clifford Algebras and Invariance Groups of Scalar Products on Spinor Spaces" , Rafal Ablamowicz, Department of Mathematics, TTU, and Bertfried Fauser, School of Computer Science, The University of Birmingham, Edgbaston-Birmingham, Tech Report No. 2011-3, downloadable file 224 KB
  • " Possible Reasons for Students' Ineffective Reading of their First-Year University Mathematics Textbook", Mary D. Shepherd, Department of Mathematics, Northwest Missouri State University, Annie Selden, New Mexico State University, and John Selden, New Mexico State University, Tech Report No. 2011-2, downloadable file, 8.36MB
  • "On the Transposition Anti-Involution in Real Clifford Algebras III: The Automorphism Group of The Transposition Scalar Product on Spinor Spaces", Rafal Ablamowicz, Department of Mathematics, TTU, and Bertfried Fauser, School of Compter Science, The University of Birmingham, Edgbaston-Birmingham, Tech Report No. 2011-1,  downloadable file, 296KB

2010

  • "Transitions and Proof and Proving at Tertiary Level", Annie Selden, Department of Mathematics, New Mexico State University, Tech Report No. 2010-3downloadable file, 269KB
  • "On the Transposition Anti-Involution in Real Clifford Algebras I: The Transposition Map" , Rafal Ablamowicz, Department of Mathematics TTU, and Bertfried Fauser, School of Computer Science, The University of Birmingham, Edgbaston-Birmingham, Tech Report No. 2010-1, downloadable file, 360KB
  • "On the Transposition Anti-Involution in Real Clifford Algebras II: Stabilizer Groups of Primitive Idempotents" Rafal Ablamowicz, Department of Mathematics TTU, and Bertfried Fauser, School of Computer Science, The University of Birmingham, Edgbaston-Birmingham, Tech Report No. 2010-2, downloadable file, 340KB

2009

  • "Affect, Behavioral Schemas, and the Proving Process", Annie Selden, Kerry McKee, and John Selden, Department of Mathematics, New Mexico State University, Tech Report No. 2009-5, downloadable file, 135KB pdf_icon_sm
  • "Computations with Clifford and Grassmann Algebras", Rafal Ablamowicz, Department of Mathematics TTU, Tech Report No. 2009-4, downloadable file, 412KB pdf_icon_sm
  • "Geometric Roots of -1 in Clifford Algebras Cl p,q with p + q ≤ 4", Eckhard Hitzer, Department of Applied Physics, University of Fukui, Japan, and Rafal Ablamowicz, Department of Mathematics TTU, Tech Report No. 2009-3, downloadable file, 296KB pdf_icon_sm
  • "Schur Polynomials and the Irreducible Representations of Sn ", Sheela Brachey, Department of Mathematics TTU, Tech Report No. 2009-2, downloadable file, 245KB pdf_icon_sm
  • "Difficulties First-year University Students Have in Reading Their Mathematics Textbooks", Mary D. Shepherd, Department of Mathematics Northwest Missouri State University, Annie Selden, New Mexico State University and John Selden, New Mexico State University, Tech Report No. 2009-1, March 2009, **downloadable file, 8,600KB,.pdf(file too big) pdf_icon_sm

2008

  • "Gröbner Bases Algorithms for Grassmann Algebras in a Maple Package", Troy Brachey, Department of Mathematics TTU, Tech. Report No. 2008-1, October 2008, downloadable file, 204KB pdf_icon_sm
  • "Computation of Non-Commutative Gröbner Bases in Grassmann and Clifford Algebras", Rafal Ablamowicz, Department of Mathematics TTU, Tech. Report No. 2008-2, December 2008, downloadable file, 364KB pdf_icon_sm
  • "Some Applications of Gröbner Bases in Robotics and Engineering", Rafal Ablamowicz, Department of Mathematics TTU, Tech. Report No. 2008-3, December 2008, downloadable file, 754KB pdf_icon_sm

2007

  • "Teaching Proving by Coordinating Aspects of Proofs with Students' Abilities¹", Annie and John Selden, New Mexico State University, Tech. Report No. 2007-2, October 2007, downloadable file, 421KB pdf_icon_sm
  • "Overcoming Students' Difficulties in Learning to Understand and Construct Proofs", Annie and John Selden, New Mexico State University, Tech. Report No. 2007-1, August 2007, downloadable file, 148KB pdf_icon_sm

2006

  • "On the Parallel Lines for Nondegenerate Conics", Rafal Ablamowicz, Department of Mathematics TTU and Jane Liu, Department of Civil and Environmental Engineering TTU, Tech. Report No. 2006-1, January 2006, downloadable file, 714KB pdf_icon_sm

2004

  • "Consciousness in Mathematical Problem Solving: The Focus, the Fringe, and Non-Sensory Perception", John Selden, Department of Mathematical Sciences at New Mexico State Univ. and Annie Selden, Department of Mathematics TTU & Department of Mathematical Sciences New Mexico State University, Tech. Report No. 2004-1, April 2004, downloadable file, 163KB pdf_icon_sm
  • "A Partial Characterization of the Cocircuits of a Splitting Matroid", Allan Mills, Department of Mathematics TTU, Tech. Report No. 2004-2, May 2004, downloadable file, 112KB pdf_icon_sm
  • "The Affinity of a Permutation of a Finite Vector Space", W. Edwin Clark, Department of Mathematics University of South Florida, Xiang-Dong Hou, Department of Mathematics University of South Florida, and Alec Mihailovs, Department of Mathematics TTU, Tech. Report No. 2004-3, July 2004, downloadable file, 283KB pdf_icon_sm
  • "More Than a Seat: Numbers and Symbols in the Cameroon Grasslands", Andrzej Gutek, Department of Mathematics TTU, Tech. Report No. 2004-4, July 2004, downloadable file, 198KB pdf_icon_sm
  • "Writing DLL in Assembler for External Calling in Maple", Alec Mihailovs, Department of Mathematics TTU, Tech. Report No. 2004-5, July 2004, downloadable file, 67KB pdf_icon_sm
  • "A Short Note on Strassen's theorem", Motoya Machida, Department of Mathematics TTU, Tech. Report No. 2004-6, October 2004, downloadable file, 168KB pdf_icon_sm

2003

  • "A Graduate Student's Guide to LATEX and AMS-LATEX", Rafal Ablamowicz, Department of Mathematics at TTU, Tech. Report No. 2003-1, February 2003, downloadable file, 387KB pdf_icon_sm
  • "Decadal Decline (1992-2002) of Loggerhead Shrikes on Christmas Bird Counts in Alabama, Mississippi, and Tennessee", Stephen J. Stedman, Department of English at TTU, and Michael Allen, Department of Mathematics at TTU, Tech. Report No. 2003-2, August 2003, downloadable file, 736KB pdf_icon_sm
  • "Errors and Misconceptions in College Level Theorem Proving", Annie Selden and John Selden, Department of Mathematics at TTU, Tech Report No. 2003-3, August 2003, downloadable file, 92KB pdf_icon_sm
  • "A Generalization of a Graph Result of Halin and Jung", Galen E. Turner, III, Mathematics and Statistics, Louisiana Tech University, and Allan D. Mills, Department of Mathematics at TTU, Tech. Report No. 2003-4, September 2003, downloadable file, 59KB pdf_icon_sm
  • "Set-Valued Duality for Finite-State Markov Chains", James Allen Fill, Department of Mathematical Sciences, Johns Hopkins University, and Motoya Machida, Department of Mathematics at TTU, Tech. Report No. 2003-5, October 2003, downloadable file, 288KB pdf_icon_sm
  • "Idempotents of Clifford Algebras", Rafal Ablamowicz, Department of Mathematics at TTU, B. Fauser, Fachbereich Physik, Universitat Konstanz, K. Podlaski and J. Rembielinski, Department of Theoretical Physics, University of Lodz, Tech. Report No. 2003-6, October 2003, downloadable file, 147KB pdf_icon_sm

2002

  • "Tables of Integrals, the Cosecant Function, and Consistency", Brian O'Connor, Department of Mathematics at TTU, Tech. Report No. 2002-1, March 2002, downloadable file, 526KB pdf_icon_sm
  • "Two Research Traditions Separated by a Common Subject: Mathematics and Mathematics Education", Annie Selden, Department of Mathematics at TTU, Tech. Report No. 2002-2, August 2002, downloadable file, 107KB pdf_icon_sm
  • "Mathematics of CLIFFORD - a Maple package for Clifford and Grassmann algebras", Rafal Ablamowicz, Department of Mathematics at TTU, and Bertfried Fauser, Universitat Konstanz, Germany, Tech. Report No. 2002-4, December 2002, downloadable file, 282KB pdf_icon_sm Revised August 2004, downloadable file, 282KB pdf_icon_sm
  • "Clifford and Grassmann Hopf Algebras via the Bigebra Package for Maple(R)", Rafal Ablamowicz, Department of Mathematics at TTU, and Bertfried Fauser, Universitat Konstanz, Germany, Tech. Report No. 2002-5, December 2002, downloadable file, 261KB pdf_icon_sm Revised August 2004, downloadable file, 261KB pdf_icon_sm

2001

  • "The Dense Packing of 13 Congruent Circles in a Circle", Ferenc Fodor, Department of Mathematics at TTU, Tech. Report No. 2001-1, March 2001, downloadable file, 189KB pdf_icon_sm
  • "Clifford Algebra Space Singularities of Inline Planar Platforms", Michael Baswell and Joe N. Anderson, Department of Electrical and Computer Engineering, and Rafal Ablamowicz, Department of Mathematics at TTU, Tech. Report No. 2001-2, April 2001, downloadable file,178KB pdf_icon_sm
  • "Comparison of Centrality Estimators for Several Distributions", Jamie McCreary, Under the supervision of Dr. Michael Allen, Department of Mathematics at TTU, Tech. Report No. 2001-3, April 2001, downloadable file, 619KB pdf_icon_sm
  • "Various Estimations of Pi as Demonstrations of the Monte Carlo Method", Jamie McCreary, Under the supervision of Dr. Michael Allen, Department of Mathematics at TTU, Tech Report No. 2001-4, July 2001, downloadable file, 73KB pdf_icon_sm

2000

  • "Optimal Cylindrical-Block Designs for Correlated Observations", Nizam Uddin, Department of Mathematics at TTU, Tech. Report No. 2000-1, March 2000, downloadable file, 189KB pdf_icon_sm
  • "On Optimal Row-Column Designs for Two Treatments", David Caughran and Nizam Uddin, Department of Mathematics at TTU, Tech. Report No. 2000-2, March 2000, downloadable file, 99KB pdf_icon_sm
  • "On the Invertibility of Some Operators on Hilbert Spaces", Ramesh Garimella, Volodymyr Hrynkiv, and Yung-Way Liu, Department of Mathematics at TTU, Tech. Report No. 2000-3, June 2000, downloadable file, 166KB pdf_icon_sm

1999

  • "The Role of Logic in the Validation of Mathematical Proofs", Annie Selden and John Selden, Department of Mathematics at TTU, Tech. Report No. 1999-1, February 1999, downloadable file, 171KB pdf_icon_sm
  • "On the Separating Ideals of Some Vector-Valued Group Algebras", Ramesh Garimella, Department of Mathematics at TTU, Tech. Report No. 1999-2, February 1999, downloadable file, 132KB pdf_icon_sm
  • "On the Cardinalities of Row Spaces of Boolean Matrices", Michael Breen and David Hume, Department of Mathematics at TTU, Tech. Report No. 1999-3, April 1999, downloadable file, 45KB pdf_icon_sm
  • "Improving Bipartite Graphs Using Multi-Strategy Simulated Annealing", Michael Breen and Panagiotis K. Linos, Department of Mathematics at TTU, Tech. Report No. 1999-4, April 1999, downloadable file, 59KB pdf_icon_sm
  • "Do Calculus Students Eventually Learn to Solve Non-Routine Problems?", Annie Selden, John Selden, Shandy Hauk, and Alice Mason, Department of Mathematics at TTU, Tech. Report No. 1999-5, May 1999, downloadable file, 95KB pdf_icon_sm
  • "Tertiary Mathematics Education Eesearch and its Future", Annie Selden and John Selden, Department of Mathematics at TTU, Tech. Report No. 1999-6, August 1999, downloadable file, 126KB pdf_icon_sm
  • "Hecke Algebra Representations in Ideals Generated by q-Young Clifford Idempotents", Rafal Ablamowicz and Bertfried Fauser, Department of Mathematics at TTU, Tech. Report No. 1999-7, August 1999, downloadable file, 286KB pdf_icon_sm
  • "Perfect binary matroids", Allan Mills, Department of Mathematics at TTU, Tech. Report No. 1999-8, August 1999, downloadable file, 141KB pdf_icon_sm
  • "Hecke Algebras, SVD, and Other Computational Examples with Clifford", Rafal Ablamowicz, Department of Mathematics at TTU, Tech. Report No. 1999-9, September 1999, downloadable file, 499KB pdf_icon_sm
  • "On the Decomposition of Clifford Algebras of Arbitrary Bilinear form", Rafal Ablamowicz and Bertfried Fauser, Department of Mathematics at TTU, Tech. Report No. 1999-10, November 1999, downloadable file, 334KB pdf_icon_sm
School of Compter Science, The University of Birmingham, Edgbaston-Birmingham
Apply Now