[EM] Monotone method inspiration approach?
robert bristow-johnson
rbj at audioimagination.com
Mon Jan 17 19:40:32 PST 2022
We electrical engineering geeks call that the "Unit Step function". And it's the integral of the "Unit Impulse function". Most of the rest of humanity calls the latter the "Dirac delta function".
> On 01/17/2022 8:34 PM Forest Simmons <forest.simmons21 at gmail.com> wrote:
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>
> .5 + .5*sign(x)
>
>
> El lun., 17 de ene. de 2022 4:57 p. m., Daniel Carrera <dcarrera at gmail.com> escribió:
> >
> >
> >
> > On Mon, Jan 17, 2022 at 4:40 PM Kristofer Munsterhjelm <km_elmet at t-online.de> wrote:
> > > These if-then clauses may be difficult to put into mathematical
> > > expression form, but I found this (which may seem a bit ugly at first):
> > > f(A) = g(H(fpA - fpC) * H(fpB-fpC) * A>B,
> > > H(fpA - fpB) * H(fpC-fpB) * A>C)
> > >
> > > where H is the step function H(x) = 1 if x > 0, 0 otherwise,
> >
> > Btw, if you want to make a plot of that, I recommend you replace the Heavyside function with one that is equal to 0.5 when x is exactly 0. Otherwise, when fpB == fpC you'll see f(A) suddenly crash to 0 for no apparent reason and you'll be left scratching your head.
> >
> >
> >
> > --
> >
> > Dr. Daniel Carrera
> > Postdoctoral Research Associate
> > Iowa State University
> > ----
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> >
> ----
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--
r b-j . _ . _ . _ . _ rbj at audioimagination.com
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