Reply about Piecewise and Integral
- To: mathgroup at smc.vnet.net
- Subject: [mg75378] Reply about Piecewise and Integral
- From: zosi <zosi at to.infn.it>
- Date: Fri, 27 Apr 2007 05:25:32 -0400 (EDT)
Hi,
Many thanks to Bhuvanesh, dh at metrohm.ch, Jean-Marc Gulliet, Daniel
Lichtblau,
for their reply to my [mg75189, 20 April 07] Piecewise and Integral.
In particular, the hint by Bhuvanesh to use
f[x_] = 10*UnitStep[Sin[Pi*x + 3/2]]
and the equivalent hint by Lichtblau to use
f[x_] := Piecewise[{{10,Abs[FractionalPart[x/t]]<=tau ||
Abs[FractionalPart[x/t]]>=1-tau}}]
when t=2 and tau=t/8
gave the correct answer (a0 = 10).
Conclusion: their method is more elegant (I am not surprised) AND it works.
However, let me say that I am feeling a bit "deceived" by Piecewise.
Thanks again
Gianfranco Zosi
Dip Fisica Generale "A.Avogadro"
Universita di Torino