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Re: FullSimplify

  • To: mathgroup at smc.vnet.net
  • Subject: [mg40677] Re: [mg40662] FullSimplify
  • From: Dr Bob <majort at cox-internet.com>
  • Date: Sun, 13 Apr 2003 02:17:44 -0400 (EDT)
  • References: <200304120712.DAA21359@smc.vnet.net>
  • Reply-to: majort at cox-internet.com
  • Sender: owner-wri-mathgroup at wolfram.com

If I understand you, you think -(wH - wC) might be preferable to +(-wC + 
wH).

However, they have the same LeafCount, which is supposedly used by 
FullSimplify to choose between equivalent forms, so both forms are equally 
simple.  Beyond that, the depths of Simplify and FullSimplify are beyond 
me.  I suspect that one Minus is considered better than two.

w + # 2 Pi wC + # 2 Pi wH & /@ {1, -1} // FullSimplify
LeafCount /@ %

w - # 2 Pi wC + # 2 Pi wH & /@ {1, -1} // FullSimplify
LeafCount /@ %

{w - 2 Pi (wC - wH), w + 2 Pi (wC - wH)}
LeafCount /@ %

{w - 2 Pi (wC - wH), w + 2 Pi (wC - wH)} // Simplify
LeafCount /@ %

Bobby

On Sat, 12 Apr 2003 03:12:21 -0400 (EDT), Blimbaum Jerry DLPC 
<BlimbaumJE at ncsc.navy.mil> wrote:

> Something I just noticed about FullSimplify:
>
>
> w +/-2 Pi wC +/-2 Pi wH//FullSimplify       outputs
>
>
> w + 2 Pi (wC + wH)      and    w - 2 Pi (wC + w H)    respectively....
>
>
> however...if the signs of the coefficients of wC and wH are 
> opposite....i.e.
>
>
> w  -/+  2 Pi wC +/-2 Pi wH//FullSimplify    the output remains the
> same....i.e.  you dont get...
>
>
> w - 2 Pi (wC - wH)   and w + 2 Pi (wC-wH) ....as I would have
> expected.....in writing this out for Mathgroup, I see that
>
> Mathematica would have to change the signs inside the parentheses for wH,
> for example....or decide to output the first result as...
>
>
> w + 2 Pi (wH-wC) for example....
>
>
> why this
>
> difference in the two?   i.e. Mathematica duzz FullSimplify the first
> form.....but not the second form......or have I answered my own question?
>
>
> jerry blimbaum   Panama City, Florida
>
>



-- 
majort at cox-internet.com
Bobby R. Treat



  • References:
    • FullSimplify
      • From: Blimbaum Jerry DLPC <BlimbaumJE@ncsc.navy.mil>
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