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How to convert a HeavisideTheta to a PieceWise function

  • To: mathgroup at smc.vnet.net
  • Subject: [mg93774] How to convert a HeavisideTheta to a PieceWise function
  • From: "wxziwyz at 126.com" <wangxz1983 at gmail.com>
  • Date: Tue, 25 Nov 2008 07:19:01 -0500 (EST)

For example:
we have f(x) = (x + (-2 + x) HeavisideTheta[-2 + x] -  2 (-1 + x)
HeavisideTheta[-1 + x]) HeavisideTheta[x]

apparently, this is a piecewise function.

My problem is, How to transfer it into a Piecewise expression, i.e.

f(x) = Piecewise[{{0, x < 0}, {x, 0 < x <= 1}, {2- x, 1 < x <= 2}, {0,
x > 2}}]

Is there any function in Mathematica can do this?


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