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Re: DiracDelta Function question

  • To: mathgroup at smc.vnet.net
  • Subject: [mg21120] Re: DiracDelta Function question
  • From: "Alberto Verga" <verga at marius.univ-mrs.fr>
  • Date: Fri, 17 Dec 1999 01:21:18 -0500 (EST)
  • Sender: owner-wri-mathgroup at wolfram.com

The mathematica answer is "mathematically" correct!
DiracDelta is a distribution, its intagral is 1, then when you change
variables in the integral you must take into account the jacobian of the
transformation: to pass from x to y==2x+2 the jacobian is just
|dy/dx|^-1==1/2:
  delta(y(x))dx==delta(y)/|dy/dx| dy

--
Alberto Verga - verga at marius.univ-mrs.fr
Institut de Recherche sur les Ph=E9nom=E8nes Hors Equilibre.
12, av. G=E9n=E9ral Leclerc, 13003 Marseille, France.
Tel: 33 (0) 4 91 64 44 76 - Fax 33 (0) 4 91 08 16 37




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