| 1. | The integrand is simplified as follows using hyperbolic function identities:
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| 2. | The hyperbolic functions take a legs of a right triangle covering this sector.
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| 3. | He follows George Salmon in exhibiting the hyperbolic angle, argument of hyperbolic functions.
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| 4. | Sinh, cosh and tanh are hyperbolic functions.
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| 5. | Hyperbolic functions were introduced in the 1760s independently by Vincenzo Riccati and Johann Heinrich Lambert.
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| 6. | Space-time tilt is measured by rapidity, and calculated with hyperbolic functions .)
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| 7. | Hyperbolic function ), this is equivalent to
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| 8. | In complex analysis, the hyperbolic functions arise as the imaginary parts of sine and cosine.
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| 9. | When considered defined by a complex variable, the hyperbolic functions are rational functions of holomorphic.
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| 10. | Some authors have called inverse hyperbolic functions " area functions " to realize the hyperbolic angles.
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