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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


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