Re: Vector Piecewise in 5.1
- To: mathgroup at smc.vnet.net
- Subject: [mg53014] Re: [mg52996] Vector Piecewise in 5.1
- From: Murray Eisenberg <murray at math.umass.edu>
- Date: Mon, 20 Dec 2004 06:34:28 -0500 (EST)
- Organization: Mathematics & Statistics, Univ. of Mass./Amherst
- References: <200412191114.GAA17987@smc.vnet.net>
- Reply-to: murray at math.umass.edu
- Sender: owner-wri-mathgroup at wolfram.com
And it seems that pw cannot directly be plotted, not even by using, e.g.,
Plot[cf, {x, -1, 1}];
after your definition of cf.
Mark Fisher wrote:
> 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
>
>
--
Murray Eisenberg murray at math.umass.edu
Mathematics & Statistics Dept.
Lederle Graduate Research Tower phone 413 549-1020 (H)
University of Massachusetts 413 545-2859 (W)
710 North Pleasant Street fax 413 545-1801
Amherst, MA 01003-9305
- References:
- Vector Piecewise in 5.1
- From: "Mark Fisher" <mark@markfisher.net>
- Vector Piecewise in 5.1