Thank you very much!  I thought I'd cleaned up the spelling errors and 
typos - but obviously not.  I'll get onto that soon.  Could you enlarge on 
the Risch algorithm?  I always assumed that Axiom had a complete 
implementation, but if not I'd want to be put right.  And of course I'd be 
happy to take on board any nice snippets which shows Axiom's superiority 
over other systems.

-Alasdair

On Monday, January 4, 2016 at 2:51:43 PM UTC+11, oldk1331 wrote:
>
> FYI, there is also an Emacs extension axiom-environment [1], which is 
> very nice and it has Org-mode support: ob-axiom.
>
> The Risch algorithm implemented in FriCAS is still incomplete, there are a 
> few holes
> in the mixed algebraic-transcendental case.
>
> There is a right parenthesis missing in "(12) -> sum(1/k,k=1..100", page 4.
> And a typo "dispkay => display" on page 4.
>
> There is a right parenthesis missing in "(16) -> exp(%pi*sqrt(163.0)", 
> page 5;
> "(24) -> expand((x+2*y-3*z)^5", page 6;
> "(36) -> solve[x^2-y^2=4,x*y=3],1.0e-10)", left parenthesis, page 7;
> "(39) -> limit(x/sqrtx^2-1,x=%plusInfinity)", parenthesis missing, page 7;
> "(106) -> expand((x-2*y+3*z)^3", page 20;
> "”Axiom: The Scientific Computation System”", quotes don't match, page 23;
> "”diff ”", quotes don't match, page 24;
> "”difference”", quotes don't match, page 25.
>
> Typo "ploat => plot" on page 14.
>
> Generally speaking, this is a good introduction.
>
> [1] https://bitbucket.org/pdo/axiom-environment
>

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