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Topic: how to generate piecewise function from two lists
Replies: 1   Last Post: Apr 28, 2013 5:17 AM

 Simons, F.H. Posts: 107 Registered: 12/7/04
Re: how to generate piecewise function from two lists
Posted: Apr 28, 2013 5:17 AM

This is straightforward using the function Partition:

In[21]:= f={a,b};
r={0,1,2};
With[{rr=Partition[r,2,1]},
Piecewise[Table[{f[[i]], rr[[i,1]]<x<rr[[i,2]]}, {i,1,Length[f]}]]] //
InputForm

Out[23]//InputForm=
Piecewise[{{a, 0 < x < 1}, {b, 1 < x < 2}}, 0]

Fred Simons
Eindhoven University of Technology

Op 28-4-2013 7:00, S schreef:
> Hello
>
> Suppose we have two lists
> f={a,b}
> r={0,1,2)
>
> In general, the lengths of f and r can vary but the length of f is always 1 less than length of r.
>
> Using the lists f and r, I want to define a piecewise function of the form:
>
> Piecewise[{{a,0<x<1},{b,1<x<2}}] i.e., having the form
>
> Piecewise[{{f[[1]],r[[1]]<x<r[[2]]},{f[[2]],r[[2]]<x<r[[3]]}}]
>
> Is there a way to define a piecewise function using f and r for the general case, as described above.
>
> Thanks
>
> S
>
>
>
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