🚀 go-pugleaf

> Date: Tue, 03 Mar 92 14:06:04 -0800
> From: Michael Monagan <monagan@inf.ethz.ch>
> 
> > From: fjw@qmw.ac.uk
> > ...
> > For example, I would expect that Maple would input such 
> > polynomials much faster because it does not simplify by 
> > default (I think) ....
> 
> Maple does simplify polynomials by default.
> The "canonical" ordering is called random canonical order.
> The terms of a polynomial are sorted by address in memory.

I think one large difference between Maple and most other CAS 
is that Maple accepts as "canonical" polynomial orderings 
that most other CAS don't.  Personally, I find looking at 
a Maple univariate polynomial result an eye-sore.  I believe 
there is a no way that a user can request that all of Maple's 
displayed results be automatically humanely ordered.  I think 
such an option would be worth the time spent.

E.g. 

> maple
    |\^/|      MAPLE V
._|\|   |/|_.  Copyright (c) 1981-1990 by the University of Waterloo.
 \  MAPLE  /   All rights reserved.  MAPLE is a registered trademark of
 <____ ____>   Waterloo Maple Software.
      |        Type ? for help.
> expand((x^2+x+1)^5);

                2       4       3       6       5       8       7    10      9
  1 + 5 x + 15 x  + 45 x  + 30 x  + 45 x  + 51 x  + 15 x  + 30 x  + x   + 5 x

> quit
bytes used=51840, alloc=65524, time=Float(66,-3)

From: Jeffrey P. Golden <jpg@ALLEGHENY.SCRC.Symbolics.COM>
Organization: Symbolics MACSYMA Division