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Re: Functions in Mathematica
*To*: mathgroup at smc.vnet.net
*Subject*: [mg33690] Re: Functions in Mathematica
*From*: phbrf at t-online.de (Peter Breitfeld)
*Date*: Mon, 8 Apr 2002 03:04:15 -0400 (EDT)
*References*: <a8m2eo$o9d$1@smc.vnet.net>
*Sender*: owner-wri-mathgroup at wolfram.com
Ravinder Kumar Banyal schrieb:
> Dear All,
> Can anyone please tell me how we define and Plot functions
> of the following types in mathematica.
> e.g.
>
> 1) Box function with amplitude c
> f(x)= C for -2<x<2 (c is constant)
> = 0 otherwise
there are several possibities:
f[x_]:=c/;-2<x<2
f[x_]:=0
or
f[x_]=c(UnitStep[x+2]-UnitStep[x-2])
This one is good if you need it to eg FourierTransforms
or
f[x_]:=Which[-2<=x,0, -2<x<2,c, x>=-2,0]
good if you need to differentiate ist. Mathematica can differentiate
Which-expressions (but not integrate out of the box)
>
> 2) Triange
> f(x) = x for -1<x<0
> = 1-|x] for 0<x<1
>
Just the same as above
> 3) A suare wave with specific period and width
>
e.g.
f[x_]:=c/; 0<Mod[x,3]<1
f[x_]:=0
makes a period of three
Gruß Peter
--
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Peter Breitfeld, Bad Saulgau, Germany Meinen GnuPG/PGP-5x Key gibts dort
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