On Wed, Dec 14, 2016 at 11:07 AM, James McCartney <asy...@gmail.com> wrote:
> > > On Wed, Dec 14, 2016 at 11:03 AM, James McCartney <asy...@gmail.com> > wrote: > >> >> >> On Wed, Dec 14, 2016 at 8:47 AM, Ethan Fenn <et...@polyspectral.com> >> wrote: >> >>> >>> Another interesting family of curves is given by f(x) = x / >>> (1+x^N)^(1/N) for even N. The fractional power is kind of annoying, but if >>> you have a hardware square root then you can compute this for N=2,4,8 >>> easily enough. >>> >> >> extends to all real N > 0 by using absolute value : >> >> f(x) = x / (1+abs(x^N))^(1/N) >> > > whoops, just extends to odd N. My graphing program was fooling me. > This is the correct one: f(x) = x / (1+abs(x)^N)^(1/N) > > >> >> >> >> -- >> --- james mccartney >> > > > > -- > --- james mccartney > -- --- james mccartney
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