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[Axiom-developer] Re: [open-axiom-devel] [fricas-devel] Re: iterators an
From: |
Francois Maltey |
Subject: |
[Axiom-developer] Re: [open-axiom-devel] [fricas-devel] Re: iterators and cartesian product. |
Date: |
22 Oct 2007 11:30:05 +0200 |
User-agent: |
Gnus/5.09 (Gnus v5.9.0) Emacs/21.4 |
Hello Martin,
> > At use, Mupad is almost perfect
> > [a $a=0..9] and [10*a+b $a=1..9$b=0..9] and [10*a+b $a=1..9$b=0..9$c=0..9]
> > $ is a (right to left)? inner operator.
> >
> > Of corse parallel iterations must remain as a pretty pure concept of axiom.
>
> So, how do you do parallel iteration in MuPad?
With a silly
[...L[i]...LL[i]... for i in 1 .. min([4, length L, length LL])]
vs the shorter [...x...xx... for x in L for xx in LL for k in 1..4] for axiom
I like the possible new repeat operator :
[matrix [[a,b,15-a-b],[c,d,15-c-d]]
for a in 1..9 repeat for b in 1..9 repeat for c in 1..9 repeat for d in 1..9]
near from the mupad/maple command :
[matrix [[a,b,15-a-b],[c,d,15-c-d]]$a=1..9$b=1..9$c=1..9$d=1..9]
It looks like mathematical expression {matrix ... | (a,b,c,d) in {1..9}^4}.
This command breaks this previous mathematical set
but build Union_{for a} (Unioun_{for b} (Unioun_{for c} set matrix for d))
concat [concat [concat [[matrix [[a,b,15-a-b],[c,d,15-c-d]] for a in 1..9]
for b in 1..9] for c in 1..9] for d in 1..9]
mupad doesn't has a perfect syntax because lists and intervals don't have
the same operator : [..x.. $x in L] and [..x.. $x=1..10]. Axiom makes better !
[..x.. for x in L] and [..x.. for x in 1..10].
For theses 2 examples I feel mupad better than maple. I don't know mathematica.
Is it an answer to your question ?
Francois
- [Axiom-developer] Re: [fricas-devel] Re: iterators, Martin Rubey, 2007/10/21
- [Axiom-developer] Re: iterators and cartesian product., Francois Maltey, 2007/10/21
- [Axiom-developer] Re: [open-axiom-devel] iterators and cartesian product., Ralf Hemmecke, 2007/10/21
- [Axiom-developer] Re: [fricas-devel] Re: iterators and cartesian product., Martin Rubey, 2007/10/22
- [Axiom-developer] Re: [open-axiom-devel] [fricas-devel] Re: iterators and cartesian product.,
Francois Maltey <=
- [Axiom-developer] Re: [open-axiom-devel] [fricas-devel] Re: iterators and cartesian product., Martin Rubey, 2007/10/22
- [Axiom-developer] Re: iterators and cartesian product., Francois Maltey, 2007/10/22
- [Axiom-developer] Re: [fricas-devel] Re: iterators and cartesian product., Martin Rubey, 2007/10/22
- [Axiom-developer] Re: [fricas-devel] Re: [open-axiom-devel] [fricas-devel] Re: iterators and cartesian product., Martin Rubey, 2007/10/24
- Re: [Axiom-developer] Re: [open-axiom-devel] [fricas-devel] Re: iterators and cartesian product., Gabriel Dos Reis, 2007/10/22
- Re: [open-axiom-devel] [Axiom-developer] Re: [fricas-devel] Re: iterators and cartesian product., Ralf Hemmecke, 2007/10/23
- [Axiom-developer] Re: [open-axiom-devel] [fricas-devel] Re: iterators, Ralf Hemmecke, 2007/10/21