Re: recursive blues :(

*To*: mathgroup at smc.vnet.net*Subject*: [mg70309] Re: recursive blues :(*From*: Jean-Marc Gulliet <jeanmarc.gulliet at gmail.com>*Date*: Thu, 12 Oct 2006 05:37:46 -0400 (EDT)*Organization*: The Open University, Milton Keynes, UK*References*: <egi1qo$jaa$1@smc.vnet.net>

n00dle0 at yahoo.com wrote: > Hi, > > Why doesn't the following function represent a recurvive and periodic > function? > > \!\(\* > RowBox[{\(f[x_]\), " ", ":=", " ", > RowBox[{"\[Piecewise]", GridBox[{ > {\(f[x + 2]\), \(x < \(-0.5\)\)}, > {"2", \(\(-0.5\) = \ x = 0.5\)}, > {"1", \(0.5 < x = 1.5\)}, > {\(f[x - 2]\), \(x > 1.5\)} > }]}]}]\) > > > What are all possible ways to represent periodic functions? > > Thanks, > Ash > Typing syntacticly correct expressions should help: f[x_] := Piecewise[{{f[x + 2], x < -0.5}, {2, -0.5 <= x <= 0.5}, {1, Inequality[0.5, Less, x, LessEqual, 1.5]}, {f[x - 2], x > 1.5}}] Plot[f[x], {x, -2, 2}]; Regards, Jean-Marc