Re: how to generate piecewise function from two lists

*To*: mathgroup at smc.vnet.net*Subject*: [mg130651] Re: how to generate piecewise function from two lists*From*: Ray Koopman <koopman at sfu.ca>*Date*: Sun, 28 Apr 2013 05:18:15 -0400 (EDT)*Delivered-to*: l-mathgroup@mail-archive0.wolfram.com*Delivered-to*: l-mathgroup@wolfram.com*Delivered-to*: mathgroup-outx@smc.vnet.net*Delivered-to*: mathgroup-newsendx@smc.vnet.net

Piecewise[{#1, #2[[1]] < x < #2[[2]]}& @@@ Transpose@{f,Partition[r,2,1]}] On Sat, Apr 27, 2013 @ 10:00 PM, S <dsalman96 at gmail.com> wrote: > 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