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Re: Evaluating UnitStep inside another function

  • To: mathgroup at smc.vnet.net
  • Subject: [mg16333] Re: Evaluating UnitStep inside another function
  • From: "Peltio" <pelt.ioNOS at PAMiol.it>
  • Date: Sun, 7 Mar 1999 01:05:51 -0500
  • Organization: Peltio Inc.
  • References: <7bo033$dnr@smc.vnet.net>
  • Sender: owner-wri-mathgroup at wolfram.com

Doug,

Your problem stems from this:

Attributes[UnitStep]
    {Orderless}

This should provide a cure:

Unprotect[UnitStep];
Attributes[UnitStep]={Orderless,Listable};
Protect[UnitStep];

It seems to work, now

F1[ 3 + UnitStep[ x-3 ], x ]
    {3,3,4}

F1[x^2,x]
    {0,4,25}

I haven't tried any other examples, anyway.
Peltio,
peltioNOS at PAMusa.net


Doug Webb wrote in message <7bo033$dnr at smc.vnet.net>...
>Hello,
>  I am trying to define a function such as this, where lst and xvlu have
>already been defined earlier as lists (which the user wont really know
>about or be able to see):
>
>lst = {1, 2, 3}
>xvlu = {0, 2, 5}
>
>F1[ func_, var_ ] := (
>  lst = func /. var -> xvlu;
>  Return[ lst ]
>);
>
>And func can be any arbitrary function the user wants to enter, which is
>based on variable var. This all works fine for cases such as this:
>
>F1[ x^2, x ]
>
>returns:
>
>{0, 4, 25}
>
>What I'm having problems with is the UnitStep function. After loading
>the DiracDelta package:
>
><<Calculus`DiracDelta`
>
>The following input
>
>F1[ 3 + UnitStep[ x-3 ], x ]
>
>Gives this output:
>
>3 + UnitStep[ {-3, -1, 2} ]
>
>Rather than what I want:
>
>{3, 3, 4}
>
>If I enter it directly as this:
>
>3 + UnitStep[ xvlu - 3 ]
>
>then I get the "correct" answer of {3, 3, 4}. Evidently the UnitStep
>isn't getting evaluated inside the F1[] function. I've tried
>combinations of Evaluate[], Hold[], N[], etc. in all they ways I can
>think of inside the F1[] function, and still no luck. What can I do
>inside F1[] to get the UnitStep case evaluated, without possible
>"messing up" a simpler case with something like x^2? Thanks for any
>suggestions.
>
>      Doug
>      Douglas.S.Webb at maf.nasa.gov
>      D_Webb at prodigy.net
>
>
>




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