Publications 1998–2005
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Vector Calculus
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Using Differentials to Bridge the Vector Calculus Gap,
Tevian Dray and Corinne A. Manogue,
College Math. J. 34, 283-290 (2003).
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The Murder Mystery Method for
Determining Whether a Vector Field is Conservative,
Tevian Dray and Corinne A. Manogue,
College Math. J. 34, 238-241 (2003).
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Spherical Coordinates,
Tevian Dray and Corinne A. Manogue,
College Math. J. 34, 168-169 (2003).
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Bridging the Vector (Calculus) Gap,
Tevian Dray and Corinne A. Manogue,
in Pathways to Change: An International Conference on Transforming Math
and Science Education in the K16 Continuum, Proceedings (CD-ROM; Arlington 2002)
ed. Morton M. Sternheim, 2002.
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Electromagnetic Conic Sections,
(PDF version;
published abstract)
Tevian Dray and Corinne A. Manogue,
Am. J. Phys. 70, 1129-1135 (2002).
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The Vector Calculus Gap,
Tevian Dray and Corinne A. Manogue,
PRIMUS 9, 21-28 (1999).
Octonions
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Orthonormal Eigenbases over the Octonions,
Tevian Dray, Corinne A. Manogue, and Susumu Okubo,
Algebras Groups Geom. 19, 163-180 (2002).
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Some Properties of 3×3
Octonionic Hermitian Matrices with Non-Real Eigenvalues,
Tevian Dray, Jason Janesky, and Corinne A. Manogue,
Oregon State University, 2000, 12 pages.
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Octonionic Hermitian Matrices with Non-Real Eigenvalues,
(published abstract)
Tevian Dray, Jason Janesky, and Corinne A. Manogue,
Adv. Appl. Clifford Algebras 10, 193-216 (2000).
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Quaternionic Spin,
Tevian Dray and Corinne A. Manogue,
in Clifford Algebras and their Applications in Mathematical Physics
(Zihuatenejo 1999),
eds. Rafal Ablamowicz and Bertfried Fauser,
Birkhäuser, Boston, 2000, pp. 21–37.
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The Exceptional Jordan Eigenvalue Problem,
(invited paper)
Tevian Dray and Corinne A. Manogue,
Internat. J. Theoret. Phys. 38, 2901-2916 (1999).
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Octonionic Möbius Transformations,
(published abstract)
Corinne A. Manogue and Tevian Dray,
Mod. Phys. Lett. A14, 1243-1255 (1999).
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Dimensional Reduction,
(invited paper)
(published abstract)
Corinne A. Manogue and Tevian Dray,
Mod. Phys. Lett. A14, 99-103 (1999).
(This essay received Honorable Mention in the 1998 competition
of the Gravity Research Foundation.)
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Finding Octonionic Eigenvectors Using Mathematica,
(invited paper)
Tevian Dray and Corinne A. Manogue,
Comput. Phys. Comm. 115, 536-547 (1998).
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The Octonionic Eigenvalue Problem,
(published abstract)
Tevian Dray and Corinne A. Manogue,
Adv. Appl. Clifford Algebras 8, 341-364 (1998).
Relativity
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The Geometry of Special Relativity,
(invited paper)
Tevian Dray,
Physics Teacher (India) 46, 144-150 (2004).
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Note on Signature Change and Colombeau Theory,
(published abstract)
Tevian Dray, George Ellis, and Charles Hellaby,
Gen. Rel. Grav. 33, 1041-1046 (2001).
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Distributional Modes For Scalar Field Quantization,
(published abstract)
Al Agnew and Tevian Dray,
Gen. Rel. Grav. 33, 429-453 (2001).
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Tensor Distributions on Signature-Changing Space-Times,
(published abstract)
David Hartley, Robin W. Tucker, Philip Tuckey, and Tevian Dray,
Gen. Rel. Grav. 32, 491-504 (2000).
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A New Look at the Ashtekar-Magnon Energy Condition,
(published abstract)
Jim Fischer and Tevian Dray,
Gen. Rel. Grav. 31, 511-526 (1999).
Science Education
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Connections between Representations: Ambiguity Helps!
Gulden Karakok, Tina Johnston, Corinne A. Manogue, Maggie Niess,
and Tevian Dray,
MTMS (submitted).
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Bridging the Gap between Mathematics and the Physical Sciences
,
Tevian Dray and Corinne A. Manogue,
in: Preparing Future Science and Mathematics Teachers,
eds. Diane Smith and Elisabeth Swanson,
Montana State University, Bozeman, 2005, pp. 39-41.
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Bridging the Gap between Mathematics and Physics,
Tevian Dray and Corinne A. Manogue,
APS Forum on Education,
Spring 2004, pp. 13-14.
Other
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Taxicab Angles and Trigonometry,
Kevin Thompson and Tevian Dray,
Pi Mu Epsilon Journal 11, 87-96 (2000).
(PDF version)
Further information
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Complete publication list
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Ask gr-qc for list of recent preprints
(hep-th,
math)
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Ask MathSciNet for list of reviewed publications
(requires MathSciNet access)
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Ask SPIRES for list of publications