xxıv. ulusal matematik sempozyumu - Uludağ Üniversitesi

AN ACTION OF A REGULAR CURVE ONAND MATLAB APPLICATIONBülent Karakaş, Şenay BaydaşYüzüncü Yıl University, Faculty of Science, Department of Mathematics, 65080, Vanbulentkarakas@gmail.com, senay.baydas@gmail.comABSTRACTWe define an action set of a regular curve not passing origin using a normed projection. Ifis a regular curve not passing origin, then the curveis on unit sphere. Everypointdefines an orthogonal matrix using Cayley’s Formula. So we define anaction set of . There are important relations and orbit ofpoint. At the end we give some application especially about orbit sets in Matlab.2010 AMS Subject Classification Number: 51J15Keywords: Action set, normed projection, regular curveREFERENCES[1] K. Sprott, B. Ravani, Kinematic generation of ruled surfaces, Advances in ComputationalMathematics, 17 (2002), 115-133.[2] C. M. Fulton, Spherical helices in n-space, Tensor, 15 (1964), 37-39.[3] M. Dajczer, J. Ripoll. Constant mean curvature hypersurfaces with single valuedprojections on planar domains, Journal of Differential Equations, 250 (2011), 1493-1499.[4] J. Meyer, Projections of the twisted cubic, The Teaching of Mathematics, X (2007), 51-62.[5] I. A. Parkin. Unifying the geometry of finite displacement screws and orthogonal matrixtransformation, Mech. Mach. Theory, 32 (8) (1997), 975-991.41