Furthermore, it isshown that the motion defined by a regular curve of order r and derivationsof the curve on the hypersurface M has only one acceleration centre of order(r-1) at every t- instant
📌 3 Maddede Bu Makale
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Amaç & Hipotez:In this study, one of the concepts of conjugate which is defined[1] for bicomplex numbers is investigated.
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Temel Bulgular & Veri:In this case, the metric, in fourdimensional semi-Euclidean space E, has been defined by the help of theconcept of the conjugate.We define a motion in E2with the help of themetric in bicomplex numbers.
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Sonuç & Katkı:Furthermore, it isshown that the motion defined by a regular curve of order r and derivationsof the curve on the hypersurface M has only one acceleration centre of order(r-1) at every t- instant
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Bicomplex number · Homothetic motion · Hypersurface
Abstract
In this study, one of the concepts of conjugate which is defined[1] for bicomplex numbers is investigated. In this case, the metric, in fourdimensional semi-Euclidean space E, has been defined by the help of theconcept of the conjugate.We define a motion in E2with the help of themetric in bicomplex numbers. We show that the motions de…ned by a curvelying on a hypersurface M of Eare homothetic motions . Furthermore, it isshown that the motion defined by a regular curve of order r and derivationsof the curve on the hypersurface M has only one acceleration centre of order(r-1) at every t- instant
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Dominic Rochon and M. Shapiro, On algebraic properties of bicomplex and hyperbolic num- bers,Anal. Univ.Oradea,fasc.math.,vol.11,71-110 (2004).
O.P. Agrawal, Hamilton Operators and Dual Number Quaternions in Spatial Kinematics, Mec-Mach Theory (22),569-575(1987).
H.Kabadayı, Y.Yaylı, Homothetic motion at E4with bicomplex numbers, Applied Mathe- matics Letters (Submitted) Y. Yaylı, Homothetic motions at E, Mech. Mach Theory 27(3), 303-305 (1992).
G.B. Price, An Introduction to Multicomplex Spaces and Functions, Marcel Dekker, Inc: New York. I (1)-44(1). (1991). Barrett O’Neill Semi-Riemannian Geometry, Pure and Applied Mathematics, 103.Academic Pres, Inc. [Harcourt Brace Jovanovich, Publishers] New York. (1983). Current address: Department of Mathematics, Faculty of Science, University of Ankara, Tan do¼gan, Ankara, TURKEY E-mail address: [email protected],[email protected][email protected]