Demonstrates algebraic interpretations of hyperbolic functions using derived algebraic structures, highlighting implications for mathematical understanding.
In this paper, we obtain an algebraic interpretation of hyperbolic functions. By using four conditions, we define a hyperbolic algebra over reals, and we prove that linear groupoids or commutative cubic algebras cannot be a hyperbolic algebra, but the quadratic algebras can be hyperbolic algebras under some conditions.
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Donganont et al. (2025) studied this question.
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