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Recent Publications / Publications récentes

• A.F. Antippa (2011), "Finite Difference Approach To Trigonometry" Journal of Difference Equations and Applications  vol. 17, no. 9,  pp. 1365-1400.
  (Reference JDEA)
• 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.
  (Reference AIP) 
• 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.
  (Reference AIP) 
• 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.
  (Reference AIP) 
• A.F. Antippa (2009), " The Relativistic Rocket", European Journal of Physics,  vol. 30, no. 3, pp. 605-613.
  (Abstract in html)  (Abstract in pdf)   (Reference EJP)
• 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)   (Reference NCb)
• 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)   (Reference AIP)  (Table of Contents in pdf)   (Reference CASYS)
• 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)   (Reference NCb)
• 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)   (Reference JMP)
• 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)  (Reference JDEA)
• 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)   (Reference JMP)
• 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)  (Reference AIP)    (Reference CASYS)
• 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)  (Reference AIP)    (Reference CASYS)
• 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)   (Reference CJP)
• 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)   (Reference JMP)
• 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)  (Reference AIP)   (Reference CASYS)
• 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)   (Reference IJMMS)
• 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)   (Reference JDEA)
• 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)   (Reference CJP)
• 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)   (Reference JMC)
• 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)  (Reference IJMMS)
• 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)   (Reference IJCAS)  
• 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)   (Reference JDEA)
• 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)   (Reference JMC)
• 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)  (Reference AIP)  (Reference INGENTA)    (Reference CASYS)
• 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)  (Reference CJP)
• 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)  (Reference JMC)
• 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)  (Reference EJP)
• 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)  (Reference JMC)
• 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)  (Reference JMC)
• 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)  (Reference EJP)
• 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)  (Reference CJP)
  

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