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Home
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Positions
Held
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Education
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Research and
Publications
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Experience
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Recognitions
and Miscellany
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Incipit, Art meets mathematics in the Fourth dimension
by Stephen Lipscomb
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Art meets Mathematics in the Fourth Dimension - 2nd edition published by Springer
by Stephen Lipscomb
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Fractals and Universal Spaces in
Dimension Theory Series: (Springer Monographs in Mathematics)
by Stephen Lipscomb
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Editor of Duvall Football: Winning a National
Championship (Paperback)
by Deacon Duvall
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Symmetric Inverse Semigroups
(Mathematical Surveys and Monographs, No 46)
by Stephen Lipscomb
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My Best Friend Harley (Paperback)
by Stephen Lipscomb (Author) and John Shaw (Illustrator)
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A Universal One-Dimensional Metric Space, in TOPO 72,
General Topology and Its Applications (Lecture Notes in Mathematics Vol. 378),
Springer-Verlag, 248—257 |
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Imbedding One-dimensional Metric Spaces, Ph.D.
Dissertation, University of Virginia, 1973 |
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The MK 2 MOD 6 SINS Error Covariances, Naval Weapons
Lab report TN-K-13-74 |
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On Imbedding
Finite-dimensional Metric Spaces, Transactions of the American Mathematical
Society, 211, 1975, 143—160 |
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An Accuracy Check of the
Vertical Deflection Computations Performed in Fire Control NSWC-DL report
TN-DK-29-75 |
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With Oscar T. Schultz, An
Application of the Gravity Meter Aboard Operational Submarines --- The Gravity
Fix, NSWC-DL report, TR-3296, 1975 |
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On Planar Graphs, Abstract
appeared in the Topology Section of Notices of the AMS, Vol. 23, Number 1, page
A-24, 1976 |
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On the Status of Application
of Representing Functions of Several Variables in Terms of Functions of One
Variable and Addition, NSWC-DL, report TN-DK-29-76
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An Imbedding Theorem for
Metric Spaces, Proceedings of the American Mathematical Society 55, 1, 1976,
165—169 |
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The Seven-State Filter and MK
2 MOD 6 SINS Error Covariances NSWC-DL report TN-K-8-78 |
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Validation of the
Deterministic Navigation Simulation for the Improved Accuracy Program, NSWC-DL
report TR80-242 |
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With William Farr, On Testing
Sequences for Markov Characteristics, NSWC-DL TR80-462 |
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Aids for Managing Teams that
Validate Computer Simulations, 1981 Proceedings of Summer Computer Simulation
Conference, sponsored by IEEE AFIPS Press, Arlington VA. 542—544 |
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Modeling Instrument and
Environmental Noise in Simulations of Inertial Navigation Systems NSWC-DL
report TR-81-198 |
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Validation and Verification
Plan for the NSWC C4 6D Trajectory Model, NSWC-DL report TN82-13 |
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On the Efficiency of the
Localnet 20 Network, NSWC-DL report, 1983 |
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A Group of a Graph and Harary
Reconstructions, AMS Notices (Abstracts) 6, 1985, issue 36, page 6
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Isomorphisms and Independent
Sets of Graphs, AMS Notices (Abstracts), 6, June 1985, issue 38, page 253 |
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Graph Manifolds,
Reconstruction, and Inverse Semigroups, 1986, (unpublished) |
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Cyclic Subsemigroups of
Symmetric Inverse Semigroups, Semigroup Forum, 34, 1986, 243-248 |
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With Allen Schwenk, Problem E
3187, American Mathematical Monthly, 94 number 1, 1987, page 72, (Solved by D.
West, 96 No. 1, 1989, page 60) |
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The Structure of The
Centralizer of a Permutation, Semigroup Forum, 37 No. 3,1988, 301-312 |
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Hypomorphic Mapping Sets in
Graph Reconstruction, 1988, unpublished
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Pseudosimilar Vertices and
the L-group, 1988, unpublished |
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With Allen D. Parks, Homology
And Acyclicity of Hypergraphs: A Combinatorial Invariant For Hypergraphs,
NAVSWC TR 91-323 |
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The Alternating Semigroup:
Congruences and Generators, Semigroup Forum 44, 1992, 96-106 |
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Centralizers In Symmetric
Inverse Semigroups: Structure and Order, Semigroup Forum 44, 1992, 347-355 |
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Centralizers In Symmetric
Inverse Semigroups: Structure and Order, Semigroup Order,
Semigroup Forum 44, 1992, 347-355 |
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Problems And Applications of
Finite Inverse Semigroups, in Book Proceedings of the International Colloquium
on Words, Languages, and Combinatorics (Kyoto Japan 28 -- 31 August 1990)
Editor M. Ito, World Scientific publishing Co. Pte. lte. , Hong Kong, New
Jersey, 1992 |
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Presentations of Alternating
Semigroups, Semigroup Forum 45, 1992, 249-260 |
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With James C. Perry, Lipscomb's L(A) Space Fractalized in Hilbert's $ell^2(A)$ Space, Proceedings of the American Mathematical Society 115, No. 4, Aug. 1992, 1157-1166
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With Janusz Konieczny, Classification of $S_n$--normal
Semigroups, Semigroup Forum 51, No. 1, Jul./Aug. 1995,
73-86
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With C. Dupilka, Inverse Semigroups and Boolean Matrices,
NSWCDD/MP - 95/162
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With Janusz Konieczny, Path notation for Partial
Transformations, Proceedings of the International Conference
`Semigroups with Applications, Including Semigroup Rings,'St. Petersburg
University of Technology, St. Petersburg, 1999, 95-102
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With J. Konieczny, Centralizers in the Semigroup of Partial
Transformations, Mathematica Japonica 43 No. 3, 1998
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With Janusz Konieczny, Centralizers of Permutations in the
Partial Transformation Semigroup, Pure Mathematics and
Applications 6 No. 4 yr 1995 349-354
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The Infinite Alternating Semigroup,
Semigroup Forum 55 No. 1, 1997, 118-130
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Digital Images and Semigroup Structures,
technical paper as
required for NSWC contract March 1999
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Change-of-Coordinates Semigroups I
(unpublished)
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With Charles Cohen, The triangle of equally-spaced Points on Spheres
, December 2002 (unpublished).
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With James C. Perry, The Generalization of Sierpinski’s Triangle That
Lives in 4-space, Huston Journal of Mathematics, Vol. 29, No. 3, 2003,
691-709.
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With J. Konieczny, The Class Equation and Counting in Factorizable
Monoids, Proceedings of the AMS, Vol. 131, No. 11, Nov. 2003, 3345-3351
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A minimal extension of the iterated function system for Sierpinski's
gasket to one whose attractor is the 2-simplex, Houston Journal of
Mathematics, Volume 31, No. 4, 2005.
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The Sierpinski cheese iterated function system extended to a
3-simplex system , Houston Journal of Mathematics, Volume 33, No.
1, 2007, 169—207.
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With L. Lehman and J. Konieczny, Balanced subgroups of symmetric
groups , JP Jour. of Algebra, Number Theory & Appl., Vol. 5(2),
2005, 307--329.
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Counting orbits of certain category actions , article in
preparation 2004.
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Matrix Structural Analysis of 4-web Level-0 , unpublished
November 2004.
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(BOOK) Symmetric Inverse Semigroups, Volume 46 in the American
Mathematical Society Surveys and Monographs Series, American Mathematical
Society, 166 pages, 1996.
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(BOOK) My Best Friend Harley, ISBN 1599754428, 70 pages and 88
pictures, February 2006.
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(BOOK)Editor of Duvall Football – Winning a National Championship,
ISBN 0-87012-744-8, Printed by McClain Printing, Parsons, WV, 2007.
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(BOOK) Fractals and Universal Spaces in Dimension Theory, in
Springer’s Monographs in Mathematics Series, Springer, 246 pages, ISBN
978-0-387-85493-9, 2009.
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