Re: Re: Bug Report - Two numerical values for a same variable
- To: mathgroup at smc.vnet.net
- Subject: [mg54300] Re: [mg54271] Re: Bug Report - Two numerical values for a same variable
- From: Murray Eisenberg <murray at math.umass.edu>
- Date: Wed, 16 Feb 2005 14:36:27 -0500 (EST)
- Organization: Mathematics & Statistics, Univ. of Mass./Amherst
- References: <00ed01c512b0$2f242850$6400a8c0@Main> <email@example.com> <200502150438.XAA29728@smc.vnet.net>
- Reply-to: murray at math.umass.edu
- Sender: owner-wri-mathgroup at wolfram.com
The manipulations below are precisely what's so confusing about Rational
objects (and Complex objects) being atoms. If
1/2 /. Rational[x_, 2] -> Rational[x, 7]
works, then why not the following?
Part[Rational[1, 2], 2]
I can "believe" that integers and reals (and maybe strings) are atoms;
but believing that rationals and complex numbers are atoms is a hard
thing to swallow!
This has always bothered me -- and hence given me trouble trying to, um,
rationalize this to students when I've taught Mathematica.
Scott Hemphill wrote:
> DrBob <drbob at bigfoot.com> writes:
>>That explains it, but only in the sense that "things fall down" is a theory of gravity. Why should Rationals be atomic, for goodness sake? And how did I use Mathematica all this time without hearing about it?
> In:= FullForm[1/2]
> Out//FullForm= Rational[1, 2]
> In:= 1/2 /. Rational[x_,2] -> Rational[x,7]
> Out= -
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
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