Recent Publications /
Publications récentes
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A.F. Antippa (2011),
"Finite Difference Approach To Trigonometry",
Journal of Difference Equations and Applications,
vol. 17, no. 9, pp. 1365-1400.
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A.F. Antippa and D. M. Dubois (2010),
"Time-Symmetric Discretization of The Harmonic Oscillator",
in Computing Anticipatory Systems : CASYS'09 - Nineth International Conference,
edited by D. M. Dubois,
American Institute of Physics Conference Proceedings,
AIP CP 1303, pp. 121 - 125.
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A.F. Antippa and D. M. Dubois (2010),
"Discrete Harmonic Oscillator: A Short Compendium of Formulas",
in Computing Anticipatory Systems : CASYS'09 - Nineth International Conference,
edited by D. M. Dubois,
American Institute of Physics Conference Proceedings,
AIP CP 1303, pp. 111 - 120.
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A.F. Antippa and D. M. Dubois (2010),
"Discrete Harmonic Oscillator: Evolution of Notation and Cumulative Erratum",
in Computing Anticipatory Systems : CASYS'09 - Nineth International Conference,
edited by D. M. Dubois,
American Institute of Physics Conference Proceedings,
AIP CP 1303, pp. 126 - 130.
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A.F. Antippa (2009),
"The Relativistic Rocket",
European Journal of Physics,
vol. 30, no. 3, pp. 605-613.
(Abstract in html)
(Abstract in pdf)
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A.F. Antippa (2008),
"The Relativistic Total Energy",
Il Nuovo Cimento B,
vol. 123, no. 12, pp. 1617-1623.
(Abstract in html)
(Abstract in pdf)
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A.F. Antippa and D. M. Dubois (2008),
"Synchronous Discrete Harmonic Oscillator",
in Computing Anticipatory Systems : CASYS'07 - Eighth International Conference,
edited by D. M. Dubois,
American Institute of Physics Conference Proceedings,
AIP CP 1051, pp. 82-99.
(Abstract in html)
(Abstract in pdf)
(Table of Contents in pdf)
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A.F. Antippa (2008),
"On the Concept of Potential Energy",
Il Nuovo Cimento B,
vol. 123, no. 1, pp. 1-15.
(Abstract in html)
(Abstract in pdf)
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A.F. Antippa and D. M. Dubois (2008),
"Hyperincursive Discrete Harmonic Oscillator",
Journal of Mathematical Physics,
vol. 49, no. 3, 032701 (6 pages).
(Abstract in html)
(Abstract in pdf)
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A.F. Antippa (2007),
"Recursive Formulation of the Relativistic Law of Superposition
of Multiple Collinear Velocities",
Journal of Difference Equations and Applications,
vol. 13, no. 7, pp. 563-575.
(Abstract in html)
(Abstract in pdf)
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A.F. Antippa and D. M. Dubois (2007),
"Incursive Discretization, System Bifurcation, and Energy Conservation",
Journal of Mathematical Physics,
vol. 48, no. 1, 012701 (9 pages).
(Abstract in html)
(Abstract in pdf)
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A.F. Antippa and D. M. Dubois (2006),
"The Superposed Hyperincursive System of the Discrete Harmonic Oscillator",
in Computing Anticipatory Systems : CASYS'05 - Seventh International Conference,
edited by D. M. Dubois,
American Institute of Physics Conference Proceedings.
AIP CP 839, pp. 65 - 126.
(Abstract in html)
(Abstract in pdf)
(Table of Contents in pdf)
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A.F. Antippa and D. M. Dubois (2006),
"The Dual Incursive System of the Discrete Harmonic Oscillator",
in Computing Anticipatory Systems : CASYS'05 - Seventh International Conference,
edited by D. M. Dubois,
American Institute of Physics Conference Proceedings.
AIP CP 839, pp. 11--64.
(Abstract in html)
(Abstract in pdf)
(Table of Contents in pdf)
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A.F. Antippa (2005),
"Laws of Superposition of Successive Collinear Lorentz Boosts",
Canadian Journal of Physics,
vol. 83, no. 11, pp. 1101-1126.
Erratum: Can. J. Phys.,
vol. 86, p. 1353 (2008).
(Abstract in html)
(Abstract in pdf)
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G. Plante and A.F. Antippa (2005),
"Analytic Solution of the Schrödinger Equation for the Coulomb-plus-Linear Potential: I. The Wave Functions",
Journal of Mathematical Physics,
vol. 46, no. 6, 062108 (20 pages).
(Abstract in html)
(Abstract in pdf)
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A.F. Antippa and D. M. Dubois (2004),
"Anticipation, Orbital Stability, and Energy Conservation in
Discrete Harmonic Oscillators",
in Computing Anticipatory Systems : CASYS'03 - Sixth International Conference,
edited by D. M. Dubois,
American Institute of Physics Conference Proceedings.
AIP CP 718, pp. 3 - 44.
(Abstract in html)
(Abstract in pdf)
(Table of Contents in pdf)
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A.F. Antippa (2004),
"Hypersymmetric Functions and Pochhammers of 2x2 Nonautonomous Matrices",
International Journal of Mathematics and Mathematical Sciences,
vol. 2004, no. 59, pp. 3151-3170.
(Abstract in html)
(Abstract in pdf)
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A.F. Antippa (2004),
"Analytic Evaluation of Factorial Polynomials For 2x2 Nonautonomous Matrices",
Journal of Difference Equations and Applications,
vol. 10, no. 4, pp. 437-446.
(Abstract in html)
(Abstract in pdf)
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A.F. Antippa (2003),
"Unification of Newton's Laws of Motion",
Canadian Journal of Physics,
vol. 81, no. 5, pp. 713-735.
(Abstract in html)
(Abstract in pdf)
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A.F. Antippa (2003),
"Lattice Structure of Phospholipidic Molecular Domains at the Liquid-Gas Interface",
Journal of Mathematical Chemistry,
vol. 33 , nos. 3-4 , pp. 195-225.
(Abstract in html)
(Abstract in pdf)
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A.F. Antippa (2003),
"The Combinatorial Structure of Trigonometry",
International Journal of Mathematics and Mathematical Sciences,
vol. 2003. no. 8, pp. 475-500.
(Abstract in html)
(Abstract in pdf)
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A.F. Antippa and D. M. Dubois (2002),
"The Harmonic Oscillator via The Discrete Path Approach",
International Journal of Computing Anticipatory Systems,
vol. 11, pp. 141-153.
(Abstract in html)
(Abstract in pdf)
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A.F. Antippa (2002),
"Exact Closed Form Solution For Two Coupled Inhomogeneous First Order Difference Equations With Variable Coefficients",
Journal of Difference Equations and Applications,
vol. 8, no. 3, pp. 255-276.
(Abstract in html)
(Abstract in pdf)
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A.F. Antippa, J.-J. Max and C. Chapados (2001),
"Boundary Effects in the Hexagonal Packing of Rod-like Molecules Inside a Right Circular Cylindrical Domain III.
The case of arbitrarily oriented spherocylindrical molecules",
Journal of Mathematical Chemistry,
vol. 30, no. 1, pp. 31-67.
(Abstract in html)
(Abstract in pdf)
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A.F. Antippa (2001),
"Limiting Velocity at the Interface Between Causality and Virtuality",
in Computing Anticipatory Systems : CASYS 2000 - Fourth International Conference,
edited by D. M. Dubois,
American Institute of Physics Conference Proceedings,
AIP CP 573, pp. 61-76.
(Abstract in html)
(Abstract in pdf)
(Table of Contents)
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A.F. Antippa (2000),
"On the Concept of Kinetic Energy",
Canadian Journal of Physics,
vol. 78 , no. 10, pp. 883-899.
(Abstract in html)
(Abstract in pdf)
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A.F. Antippa (1999),
"Tilting Operator for Phospholipidic Molecular Domains at the Liquid-Gas Interface",
Journal of Mathematical Chemistry,
vol. 26, nos. 1-3, pp. 179-196.
(Abstract in html)
(Abstract in pdf)
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A.F. Antippa (1998),
"Relativistic Law of Addition of Multiple Collinear Velocities",
European Journal of Physics,
vol. 19, no. 5, pp. 413-417.
(Abstract in html)
(Abstract in pdf)
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A.F. Antippa, J.-J. Max and C. Chapados (1998),
"Boundary effects in the Hexagonal Packing of Rod-like Molecules Inside a Right Circular Cylindrical Domain II.
The case of inclined spherocylindrical molecules",
Journal of Mathematical Chemistry,
vol. 24, nos. 1-3, pp. 79-108.
(Abstract in html)
(Abstract in pdf)
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J.-J. Max, A.F. Antippa and C. Chapados (1997),
"Boundary Effects in the Hexagonal Packing of Rod-like Molecules Inside a Right Circular Cylindrical Domain I.
The case of right circular spherocylindrical molecules",
Journal of Mathematical Chemistry,
vol. 21, no. 4, pp. 339-358.
(Abstract in html)
(Abstract in pdf)
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A.F. Antippa (1997),
"On the Lie Algebra of the Rotation Group",
European Journal of Physics,
vol. 18, no. 4, pp. 253-255.
(Abstract in html)
(Abstract in pdf)
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A.F. Antippa (1997),
"On the Derivation of the Rotation Operator",
Canadian Journal of Physics,
vol. 75, no. 8, pp. 581-589.
(Abstract in html)
(Abstract in pdf)