BibTex RIS Kaynak Göster

On the Invariants of Time-like Dual Curves

Yıl 2008, Cilt: 37 Sayı: 2, 129 - 133, 01.02.2008

Kaynakça

  • Baky, R. A. A. An explicit characterization of dual spherical curves, Commun. Fac. Sci. Univ. Ank. Series A. 51 (2), 1–9, 2002.
  • Chen, B. Y. When does the position vector of a space curve always lie in its rectifying plane?, Amer. Math. Mounthly 110 (2), 147–152, 2003.
  • Chen, B. Y. and Dillen, F. Rectifying curves as centrodes and extremal curves, Bull. Inst. Math. Acad. Sinica 22, 77–90, 2005.
  • Clifford, W. K. Preliminary sketch of biquaternions, Proceedings of London Math. Soc. 4, –395, 1873.
  • Ilarslan, K., Nesovic, E. and Petrovic-Torgasev, M. Some characterizations of rectifying curves in the Minkowski 3-Space, Novi Sad J. Math. 33, 23–32, 2003.
  • K¨ose, ¨O., Nizamo˘glu, S¸. and Sezer, M. An explicit characterization of dual spherical curve, Do˘ga Mat. 12 (3), 105–113, 1988.
  • Petrovic-Torgasev, M. and Sucurovic, E. W -curves in Minkowski space-time, Novi Sad J. Math. 32 (2), 55–65, 2002.
  • Sezer, M., K¨ose, ¨O. and Nizamo˘glu, S¸. A criterion for a ruled surface to be closed, Do˘ga Mat. 14 (1), 39–47, 1990.
  • U˘gurlu, H. and C¸ alı¸skan, A. The study mapping for directed space-like and time-like lines in Minkowski 3-Space R3, Math. Comput. Appl. 1 (2), 142–148, 1996.
  • Veldkamp, G. R. On the use of dual numbers, vectors, and matrices in instantaneous spatial kinematics, Mech. Mach. Theory 11, 141–156, 1976.
  • Yang, A. T. Application of Quaternion Algebra and Dual Numbers to the Analysis of Spatial Mechanisms, (Doctoral Dissertation, Columbia University, 1963).
  • Yucesan, A., Coken, A. C. and Ayyildiz, N. On the dual Darboux rotation axis of the time- like dual space curve, Balkan J. Geom. Appl. 7 (2), 137–142, 2002.

On the Invariants of Time-like Dual Curves

Yıl 2008, Cilt: 37 Sayı: 2, 129 - 133, 01.02.2008

Kaynakça

  • Baky, R. A. A. An explicit characterization of dual spherical curves, Commun. Fac. Sci. Univ. Ank. Series A. 51 (2), 1–9, 2002.
  • Chen, B. Y. When does the position vector of a space curve always lie in its rectifying plane?, Amer. Math. Mounthly 110 (2), 147–152, 2003.
  • Chen, B. Y. and Dillen, F. Rectifying curves as centrodes and extremal curves, Bull. Inst. Math. Acad. Sinica 22, 77–90, 2005.
  • Clifford, W. K. Preliminary sketch of biquaternions, Proceedings of London Math. Soc. 4, –395, 1873.
  • Ilarslan, K., Nesovic, E. and Petrovic-Torgasev, M. Some characterizations of rectifying curves in the Minkowski 3-Space, Novi Sad J. Math. 33, 23–32, 2003.
  • K¨ose, ¨O., Nizamo˘glu, S¸. and Sezer, M. An explicit characterization of dual spherical curve, Do˘ga Mat. 12 (3), 105–113, 1988.
  • Petrovic-Torgasev, M. and Sucurovic, E. W -curves in Minkowski space-time, Novi Sad J. Math. 32 (2), 55–65, 2002.
  • Sezer, M., K¨ose, ¨O. and Nizamo˘glu, S¸. A criterion for a ruled surface to be closed, Do˘ga Mat. 14 (1), 39–47, 1990.
  • U˘gurlu, H. and C¸ alı¸skan, A. The study mapping for directed space-like and time-like lines in Minkowski 3-Space R3, Math. Comput. Appl. 1 (2), 142–148, 1996.
  • Veldkamp, G. R. On the use of dual numbers, vectors, and matrices in instantaneous spatial kinematics, Mech. Mach. Theory 11, 141–156, 1976.
  • Yang, A. T. Application of Quaternion Algebra and Dual Numbers to the Analysis of Spatial Mechanisms, (Doctoral Dissertation, Columbia University, 1963).
  • Yucesan, A., Coken, A. C. and Ayyildiz, N. On the dual Darboux rotation axis of the time- like dual space curve, Balkan J. Geom. Appl. 7 (2), 137–142, 2002.
Toplam 12 adet kaynakça vardır.

Ayrıntılar

Birincil Dil Türkçe
Bölüm Matematik
Yazarlar

M. Turgut Bu kişi benim

Yayımlanma Tarihi 1 Şubat 2008
Yayımlandığı Sayı Yıl 2008 Cilt: 37 Sayı: 2

Kaynak Göster

APA Turgut, M. (2008). On the Invariants of Time-like Dual Curves. Hacettepe Journal of Mathematics and Statistics, 37(2), 129-133.
AMA Turgut M. On the Invariants of Time-like Dual Curves. Hacettepe Journal of Mathematics and Statistics. Şubat 2008;37(2):129-133.
Chicago Turgut, M. “On the Invariants of Time-Like Dual Curves”. Hacettepe Journal of Mathematics and Statistics 37, sy. 2 (Şubat 2008): 129-33.
EndNote Turgut M (01 Şubat 2008) On the Invariants of Time-like Dual Curves. Hacettepe Journal of Mathematics and Statistics 37 2 129–133.
IEEE M. Turgut, “On the Invariants of Time-like Dual Curves”, Hacettepe Journal of Mathematics and Statistics, c. 37, sy. 2, ss. 129–133, 2008.
ISNAD Turgut, M. “On the Invariants of Time-Like Dual Curves”. Hacettepe Journal of Mathematics and Statistics 37/2 (Şubat 2008), 129-133.
JAMA Turgut M. On the Invariants of Time-like Dual Curves. Hacettepe Journal of Mathematics and Statistics. 2008;37:129–133.
MLA Turgut, M. “On the Invariants of Time-Like Dual Curves”. Hacettepe Journal of Mathematics and Statistics, c. 37, sy. 2, 2008, ss. 129-33.
Vancouver Turgut M. On the Invariants of Time-like Dual Curves. Hacettepe Journal of Mathematics and Statistics. 2008;37(2):129-33.