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Creating a Piecewise function with imported list of arbitrary length

  • To: mathgroup at smc.vnet.net
  • Subject: [mg128927] Creating a Piecewise function with imported list of arbitrary length
  • From: Nick Broderick <crazychessman at msn.com>
  • Date: Tue, 4 Dec 2012 04:13:30 -0500 (EST)
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Apologies if this seems like a simple question, but I'm not familiar enough with Mathematica syntax to know how to do this. Essentially I have an arbitrary list (length n) of pairs -- taken from an input file -- from which I need to define a Piecewise function. The pairs (x_i,y_i) define the left-sided endpoints for each portion of the function, and the last point defines the value y_n of the function for x > x_n. For example:

{{0,1},{300,2},{600,3}}

defines a Piecewise function:

f(x)= {{1, 0 <= x <300},{2, 300 <= x <600}, {3, x > 600}, {0, True}}

But I'm not sure how to go about creating a arbitrary list of conditions fr=
om my list of pairs. Any help would be appreciated.



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