how to generate piecewise function from two lists

*To*: mathgroup at smc.vnet.net*Subject*: [mg130640] how to generate piecewise function from two lists*From*: S <dsalman96 at gmail.com>*Date*: Sun, 28 Apr 2013 01:00:19 -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

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

**Follow-Ups**:**Re: how to generate piecewise function from two lists***From:*Fred Simons <f.h.simons@tue.nl>