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THE MINKOWSKIAN PLANAR 4R MECHANISM

Yıl 2012, Cilt: 5 Sayı: 1, 1 - 35, 30.04.2012

Gábor Hegedüs Brian Moore

Öz


Anahtar Kelimeler

Mechanism Minkowskian space double numbers

Kaynakça

  • [1] Birman, G. S. and Nomizu, K., Trigonometry in Lorentzian geometry. Amer. Math. Monthly 91 (1984), no. 9, 543–549.
  • [2] Catoni, F., Cannata R., Catoni, V. and Zampetti, P., Hyperbolic trigonometry in two- dimensional space-time geometry. Nuovo Cimento Soc. Ital. Fis. B 118 (2003), no. 5, 475– 492.
  • [3] Catoni, F., Cannata R., Catoni, V. and Zampetti, P., Two-dimensional hypercomplex num- bers and related trigonometries and geometries Adv. Appl. Clifford Algebr. 14 (2004), no. 1, 47–68.
  • [4] Ergin, A. A., On the 1-parameter Lorentzian motions, Comm. Fac. Sci. Univ. Ankara Ser. A1 Math. Statist. 40 (1991), 59–66.
  • [5] Einstein, A., Zur Elektrodynamik bewegter K¨orper, Annalen der Physik 322, (1905) Issue 10, 895–921.
  • [6] Fjelstad, P. and Gal, S. G., Two-dimensional geometries, topologies, trigonometries and physics generated by complex-type numbers. Adv. Appl. Clifford Algebras 11 (2001), no. 1, 81–107
  • [7] Gündoğan, H. and Kçilioğlu, O., Lorentzian matrix multiplication and the motions on Lorentzian plane. Glas. Mat. Ser. III 41(61) (2006), no. 2, 329–334.
  • [8] Harkin, A. A. and Harkin, J. B., Geometry of Generalized Complex Numbers. Math. Mag. 77 (2004), no. 2, 118–129.
  • [9] Lie, S. and Scheffers, M. G., Vorlesungen u¨ber continuierliche Gruppen, Kap. 21, Teubner, Leipzig, 1893
  • [10] McCarthy, J. M., Geometric design of linkages. Interdisciplinary Applied Mathematics, 11 Springer-Verlag, New York, 2000.
  • [11] McCarthy, J. M., An Introduction to Theoretical Kinematics, MIT Press, Cambridge, 1990. [12] Myrvold, W.C. and Christian, J., Quantum Reality, Relativistic Causality and closing the epistemic circle, Springer Science+Business Media, 2009.
  • [13] O’Neill, B., Semi-Riemannian Geometry. With Applications to Relativity, Academic Press, Inc., New York, 1983.
  • [14] Nesŏvić, E. and Petrović-Torgašev, M., Some trigonometric relations in the Lorentzian plane. Kragujevac J. Math. 25 (2003), 219–225.
  • [15] Ratcliffe, J. G., Foundations of Hyperbolic Manifolds, Springer-Verlag, New York, 1994.
  • [16] Yaglom, I. M., A simple non-Euclidean geometry and its physical basis. An elementary ac- count of Galilean geometry and the Galilean principle of relativity. Springer-Verlag, New York-Heidelberg, 1979
  • [17] Yüce, S. and Kuruğlu, N., One-parameter plane hyperbolic motions. Adv. Appl. Clifford Algebr. 18 (2008), no. 2, 279–285.

Yıl 2012, Cilt: 5 Sayı: 1, 1 - 35, 30.04.2012

Gábor Hegedüs Brian Moore

Öz

Kaynakça

  • [1] Birman, G. S. and Nomizu, K., Trigonometry in Lorentzian geometry. Amer. Math. Monthly 91 (1984), no. 9, 543–549.
  • [2] Catoni, F., Cannata R., Catoni, V. and Zampetti, P., Hyperbolic trigonometry in two- dimensional space-time geometry. Nuovo Cimento Soc. Ital. Fis. B 118 (2003), no. 5, 475– 492.
  • [3] Catoni, F., Cannata R., Catoni, V. and Zampetti, P., Two-dimensional hypercomplex num- bers and related trigonometries and geometries Adv. Appl. Clifford Algebr. 14 (2004), no. 1, 47–68.
  • [4] Ergin, A. A., On the 1-parameter Lorentzian motions, Comm. Fac. Sci. Univ. Ankara Ser. A1 Math. Statist. 40 (1991), 59–66.
  • [5] Einstein, A., Zur Elektrodynamik bewegter K¨orper, Annalen der Physik 322, (1905) Issue 10, 895–921.
  • [6] Fjelstad, P. and Gal, S. G., Two-dimensional geometries, topologies, trigonometries and physics generated by complex-type numbers. Adv. Appl. Clifford Algebras 11 (2001), no. 1, 81–107
  • [7] Gündoğan, H. and Kçilioğlu, O., Lorentzian matrix multiplication and the motions on Lorentzian plane. Glas. Mat. Ser. III 41(61) (2006), no. 2, 329–334.
  • [8] Harkin, A. A. and Harkin, J. B., Geometry of Generalized Complex Numbers. Math. Mag. 77 (2004), no. 2, 118–129.
  • [9] Lie, S. and Scheffers, M. G., Vorlesungen u¨ber continuierliche Gruppen, Kap. 21, Teubner, Leipzig, 1893
  • [10] McCarthy, J. M., Geometric design of linkages. Interdisciplinary Applied Mathematics, 11 Springer-Verlag, New York, 2000.
  • [11] McCarthy, J. M., An Introduction to Theoretical Kinematics, MIT Press, Cambridge, 1990. [12] Myrvold, W.C. and Christian, J., Quantum Reality, Relativistic Causality and closing the epistemic circle, Springer Science+Business Media, 2009.
  • [13] O’Neill, B., Semi-Riemannian Geometry. With Applications to Relativity, Academic Press, Inc., New York, 1983.
  • [14] Nesŏvić, E. and Petrović-Torgašev, M., Some trigonometric relations in the Lorentzian plane. Kragujevac J. Math. 25 (2003), 219–225.
  • [15] Ratcliffe, J. G., Foundations of Hyperbolic Manifolds, Springer-Verlag, New York, 1994.
  • [16] Yaglom, I. M., A simple non-Euclidean geometry and its physical basis. An elementary ac- count of Galilean geometry and the Galilean principle of relativity. Springer-Verlag, New York-Heidelberg, 1979
  • [17] Yüce, S. and Kuruğlu, N., One-parameter plane hyperbolic motions. Adv. Appl. Clifford Algebr. 18 (2008), no. 2, 279–285.
Toplam 16 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Bölüm Araştırma Makalesi
Yazarlar

Gábor Hegedüs Bu kişi benim

Brian Moore Bu kişi benim

Yayımlanma Tarihi 30 Nisan 2012
Yayımlandığı Sayı Yıl 2012 Cilt: 5 Sayı: 1

Kaynak Göster

APA Hegedüs, G., & Moore, B. (2012). THE MINKOWSKIAN PLANAR 4R MECHANISM. International Electronic Journal of Geometry, 5(1), 1-35.
AMA Hegedüs G, Moore B. THE MINKOWSKIAN PLANAR 4R MECHANISM. Int. Electron. J. Geom. Nisan 2012;5(1):1-35.
Chicago Hegedüs, Gábor, ve Brian Moore. “THE MINKOWSKIAN PLANAR 4R MECHANISM”. International Electronic Journal of Geometry 5, sy. 1 (Nisan 2012): 1-35.
EndNote Hegedüs G, Moore B (01 Nisan 2012) THE MINKOWSKIAN PLANAR 4R MECHANISM. International Electronic Journal of Geometry 5 1 1–35.
IEEE G. Hegedüs ve B. Moore, “THE MINKOWSKIAN PLANAR 4R MECHANISM”, Int. Electron. J. Geom., c. 5, sy. 1, ss. 1–35, 2012.
ISNAD Hegedüs, Gábor - Moore, Brian. “THE MINKOWSKIAN PLANAR 4R MECHANISM”. International Electronic Journal of Geometry 5/1 (Nisan 2012), 1-35.
JAMA Hegedüs G, Moore B. THE MINKOWSKIAN PLANAR 4R MECHANISM. Int. Electron. J. Geom. 2012;5:1–35.
MLA Hegedüs, Gábor ve Brian Moore. “THE MINKOWSKIAN PLANAR 4R MECHANISM”. International Electronic Journal of Geometry, c. 5, sy. 1, 2012, ss. 1-35.
Vancouver Hegedüs G, Moore B. THE MINKOWSKIAN PLANAR 4R MECHANISM. Int. Electron. J. Geom. 2012;5(1):1-35.