gudermannian

Noun

Meaning

gudermannian (plural gudermannians)

Alternative form of Gudermannian

Gudermannian (plural Gudermannians)

(mathematics) A particular function,




g
d

(
x
)
=
2

tan

−
1


⁡

e

x


−


π
2




{\displaystyle \mathrm {gd} (x)=2\tan ^{-1}e^{x}-{\frac {\pi }{2}}}

.

Examples

The Gudermannian function gives a direct relationship between the circular functions and the hyperbolic ones that does not involve complex numbers. Source: Internet

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