How would one create a piecewise periodic function (without using recursions)?
For example I’d like to make this function Piecewise[{{x, 0 <= x <= Pi}, {x - 2 Pi, Pi < x < 2 Pi}}] repeat itself to infinity…
dlkeith
(David Keith)
2
Something like this?
f[x_] := Switch[Mod[x, 2 Pi] <= Pi, True, 0, False, x - 2 Pi]
Plot[f[x], {x, -Pi, 4 Pi}, PlotStyle -> Thick]
This gives the “sawtooth” wave:
Which is not what i was hoping for.
This seems to be on the good track…
I don’t want it to climb up the y-axis though… 
sukrause
(Udo Krause)
6
That’s what David had in mind
Clear[nPeriodic]
nPeriodic[x_?NumericQ] :=
Piecewise[{{Mod[x, 2 Pi], 0 <= Mod[x, 2 Pi] <= Pi},
{Mod[x, 2 Pi] - 2 Pi, Pi < Mod[x, 2 Pi] < 2 Pi}}]
dlkeith
(David Keith)
7
But that is the expression you posted – perhaps this?
f[x_] := Switch[Mod[x, 2 Pi] <= Pi, True, 0, False, Mod[x, 2 Pi] - Pi]
Plot[f[x], {x, -Pi, 4 Pi}, PlotStyle -> Thick]
