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Two-parameter
taxicab trigonometric functions
Kelly Delp and Michael Filipski
Vol. 8 (2015), No. 3, 467–480
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Abstract |
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In this paper, we review some of the fundamental properties of the , or taxicab, metric on . We define and give explicit formulas for two-parameter sine and cosine functions for this metric space. We also determine the maximum of these functions, which is greater than . |
Keywords
taxicab trigonometry, Minkowski geometry
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Mathematical Subject Classification 2010
Primary: 51F99, 52A21
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Milestones
Received: 24 June 2013
Revised: 6 November 2013
Accepted: 7 November 2013
Published: 5 June 2015
Communicated by Frank Morgan
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Authors |
| Kelly Delp | |
| Department of Mathematics Ithaca College 201 Muller Center Ithaca, NY 14850 United States |
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| Michael Filipski | |
| Department of Mathematics University at Buffalo 244 Mathematics Building Buffalo, NY 14260 United States |
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