Testwiki:Reference desk/Archives/Mathematics/2018 April 28

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April 28

odd, monotone, continuous, bounded

The error function, the hyperbolic tangent and the inverse tangent all have these properties. Have I forgotten any important ones? —Tamfang (talk) 16:24, 28 April 2018 (UTC)

Following the links, you can get some more at Sigmoid function.John Z (talk) 19:11, 28 April 2018 (UTC)

Thanks. —Tamfang (talk) 22:56, 28 April 2018 (UTC)

$f(x)=\underset{0}{\overset{x}{\int }}g(t)dt$

where $g(t)$ is an even function such that $g(t)\ge 0$ and $\underset{0}{\overset{\mathrm{\infty }}{\int }}g(t)dt$ exists. Count Iblis (talk) 00:55, 29 April 2018 (UTC)