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Re: Output of TraditionalForm for Exp

  • To: mathgroup at smc.vnet.net
  • Subject: [mg103306] Re: [mg103290] Output of TraditionalForm for Exp
  • From: Murray Eisenberg <murray at math.umass.edu>
  • Date: Mon, 14 Sep 2009 07:11:56 -0400 (EDT)
  • Organization: Mathematics & Statistics, Univ. of Mass./Amherst
  • References: <200909131202.IAA13022@smc.vnet.net>
  • Reply-to: murray at math.umass.edu

I don't get that with Mathematica 7.0.1:

   InputForm[ T[t] /. First @
      DSolve[1/a^2 D[T[t], t] + b D[T[t], t] + c^2 T[t] == 0, T[t], t]
   ]

C[1]/E^((a^2*c^2*t)/(1 + a^2*b))

I have to show InputForm since the standard OutputForm, obviously, uses 
the usual 2D layout.  And TraditionalForm shows essentially the same 
thing (with the stylized e instead of E, and of course all letters in 
Italic).


fizzy wrote:
> Diff Eqn:    1/a^2 D[T[t],t] + b D[T[t],t] + c^2 T[t] == 0
> 
> Solution to this gives the following in TraditionalForm =
> output:....V7.01....
> 
> C1 Exp[1/2 t  (a^2 (-b) - a Sqrt[a^2 b^2 -4 c^2])] + C2  e^(1/2 t  (Sqrt[a^2 b^2 -4 c^2] - a^2 b)]) .....
> 
> where the second part, i.e. e^( )...the exponent part, ( ) , is actuallly on the same line as the ^ as it would be if I used the power exponent from the Basic Math pallette.....
> 
> 
> Q:....why this difference in output??....why arent both 'e' raised to the power of, etc??...
> 
> I realize I can fix this with a rule and HoldForm but why doesnt TradForm use only one of the output forms especially in the same output?
> 
> thanks....jerry blimbaum
> 

-- 
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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