Department
of Mathematics
Tennessee Technological University
Technical Reports
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. Dr. Allan Mills, Interim
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 Vickie
Mayberry.
Downloading
The following Technical Reports have been published and are
available
for downloading.
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
- "Computations
with Clifford and Grassmann Algebras",
Rafal Ablamowicz, Department of Mathematics TTU, Tech Report No. 2009-4, downloadable
file, 412KB,.pdf
- "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
- "Schur
Polynomials and the Irreducible Representations of S_{n }" ,
Sheela Brachey, Department of Mathematics TTU, Tech Report No. 2009-2,
downloadable
file, 245KB,.pdf
- "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
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
- "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
- "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
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
- "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
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
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
- "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
- "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
- "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
- "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
- "A Short Note on Strassen's theorem",
Motoya Machida, Department of Mathematics TTU, Tech. Report No.
2004-6,
October 2004, downloadable
file, 168KB,.pdf
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
- "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
- "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
- "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
- "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
- "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
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
- "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
- "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 Revised August 2004, downloadable
file, 282KB,.pdf
- "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 Revised August 2004, downloadable
file, 261KB,.pdf
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
- "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
- "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
- "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
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
- "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
- "On the Invertibility of Some
Operators on
Hilbert
Spaces",
Ramesh Garimella, Volodymyr Hrynkiv, and Yung-Way Liu, Department of
Mathmatics
at TTU, Tech. Report No. 2000-3, June 2000, downloadable
file, 166KB, .pdf
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
- "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
- "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
- "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
- "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
- "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
- "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
- "Perfect binary matroids", Allan Mills,
Department of
Mathematics
at TTU, Tech. Report No. 1999-8, August 1999, downloadable
file, 141KB, .pdf
- "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
- "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
Last revised: October, 2008/vm