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Vector Piecewise in 5.1

• To: mathgroup at smc.vnet.net
• Subject: [mg52996] Vector Piecewise in 5.1
• From: "Mark Fisher" <mark at markfisher.net>
• Date: Sun, 19 Dec 2004 06:14:40 -0500 (EST)
• Sender: owner-wri-mathgroup at wolfram.com

To my surprise (and delight) it turns out that Piecewise in 5.1 can
handle vectors (to some extent):

pw1 = Piecewise[{{x, x > 0}}]
pw2 = Piecewise[{{x2, x > 0}}]

pw = PiecewiseExpand[{pw1, pw2}]

This can even be compiled successfully:

cf = Compile[{x}, Evaluate[pw]]

And differentiated:

D[pw, x]

But not, however, integrated:

Integrate[pw, x]

(Worse, Integrate[pw, {x, 0, 3}] returns a scalar.)
Is this a bug or just the absence of an undocumented feature?

--Mark

• Follow-Ups:
  • Re: Vector Piecewise in 5.1
    • From: Murray Eisenberg <murray@math.umass.edu>