Formula:10144

Digital Library of Mathematical Functions ID 32.11.E17

${\displaystyle{\displaystyle d^{2}=\pi^{-1}\ln\left(1+k^{2}\right),}}$

Constraint(s)

${\displaystyle{\displaystyle\operatorname{sign}\left(k\right)=(-1)^{n}}}$

Symbols List

• ${\displaystyle{\displaystyle\pi}}$: the ratio of the circumference of a circle to its diameter
• ${\displaystyle{\displaystyle\ln\NVar{z}}}$: principal branch of logarithm function
• ${\displaystyle{\displaystyle\operatorname{sign}\NVar{x}}}$:
• ${\displaystyle{\displaystyle n}}$: integer
• ${\displaystyle{\displaystyle k}}$: real
• ${\displaystyle{\displaystyle d}}$: constant
 

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