On 1 Dec 2014 05:48, "William Stein" <wst...@gmail.com> wrote:

> Mathematica has weak coverage across much of mathematics related to
> algebraic geometry, arithmetic geometry, number theory and group
> theory.
> In particular, as a specialist in computational number theory, I find
> the functionality in mathematica very minimal, compared to what's in
> Pari, Magma, and Sage.

I don't doubt Mathematica has weak areas, but I think the statement that

"... a comparison of sage with the other Systems is quite hard, since all
of the other 4Ms concentrate more or less on particular fields of
mathematic (e.g. Matlab focus on numerics, Mathematica more on Calculus
etc.)
Sage is far from perfect but tries to cover all fields at once."

is inaccurate.

To me Mathematica, like Sage, tries to cover all fields.  Like Sage it has
weak and strong areas.

> > I believe any attempt to compare the packages would be very difficult
and
>
> Just because something is very difficult, doesn't mean we shouldn't do it.

True.

> > I doubt it is possible to remove personal bias.
>
> I hope nobody expects a marketing document to not contain personal bias.

In my opion, if it is biased, it is not a good comparison.

> I'm disappointed that my post suggesting we create a document like
> this resulted in nothing of value so far

I am not convinced the thread contains nothing of value.  You suggested
something,  and others are saying such a comparison is difficult.

So how could you objectively compare them?

> Do any of you care?  Are you doing anything that will make Sage get
> any closer to its mission statement?

For many people Sage is a viable alternative.

For others I doubt it will ever be unless you paid people to address the
weak areas, rather than them add code that is needed to address their
research interests.

>  -- William

Dave

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