Journals / Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics / 2009 / Cilt: 58 - Sayı: 1

HOMOTHETIC MOTIONS AND BICOMPLEX NUMBERS

Pages
23–28
Publication Date
2009-02-01
DOI
—
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AI Summary & Key Takeaways

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⚡ TL;DR(Too Long; Didn't Read)

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 Key Takeaways

🎯
Objective & Hypothesis:In this study, one of the concepts of conjugate which is defined[1] for bicomplex numbers is investigated.
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Key Findings & Data: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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Conclusion & Impact: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
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables: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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Cite This Article

BABADAĞ, F., YAYLI, Y., EKMEKÇİ, N. (2009). HOMOTHETIC MOTIONS AND BICOMPLEX NUMBERS. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, Cilt: 58 - Sayı: 1, 23–28. https://ajindex.com/articles/747473

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References (5)

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  5. 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]