The geometric significance of the hyperbolic functions can be visualized by taking 0 } } or 0 } } in the transformations.
22.
*PM : derivatives of hyperbolic functions, id = 6083-- WP guess : derivatives of hyperbolic functions-- Status:
23.
*PM : derivatives of hyperbolic functions, id = 6083-- WP guess : derivatives of hyperbolic functions-- Status:
24.
For the high-temperature limit and series expansions of the hyperbolic functions, the above is simplified as " ?"
25.
Since then, a new class of hyperbolic functions attracted for attention of mathematicians and is actively developing in modern science and mathematics.
26.
For the expression of hyperbolic functions as ratio of the sides of a right triangle, see the hyperbolic triangle of a hyperbolic sector.
27.
In the following graphical representation of the principal values of the inverse hyperbolic functions, the branch cuts appear as discontinuities of the color.
28.
I'm puzzled how this could be considered original research any more than a table of corresponding identities of circular and hyperbolic functions.
29.
For all inverse hyperbolic functions, the principal value may be defined in terms of principal values of the square root and the logarithm function.
30.
Horvat is noted as the first person to use hyperbolic functions to ease and simplify problems of numeric calculations in the field of geodetic cartography.
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