Re: [Axiom-mail] comparison operators and %pi

[Sumant S.R. Oemrawsingh]

Hi,

I actually do get this result:

(1) -> integrate(1/x,x)

   (1)  log(x)
                                          Type: Union(Expression Integer,...)
(2) -> solve(%=1,x)    

   (2)  [x= %e]
                                       Type: List Equation Expression Integer

and I assume that that is what you want. You can of course do a solve on
log(x)-log(1), which would give the same result.

However, I do get this:

(3) -> integrate(1/x,x=1..t)

   (3)  potentialPole
                                         Type: Union(pole: potentialPole,...)

which happens, I assume, because it is possible that t = 0. How would one go
about telling axiom that 1 is in fact the lower boundary and t the upper
boundary, or t >= 1, or even at least that t > 0?

Regards,

S.



On Fri, May 25, 2007 at 05:09:18PM +1000, Alasdair McAndrew wrote:
>    I also notice that pi is defined as an operator, so that pi() returns
>    the result %pi.  I wonder how hard it would be to include useful
>    constants in Axiom, and to be able to enter (for example)
>    solve(integrate(1/x,x=1..t)=1,t)
>    and obtain the answer %e.
>    Alasdair
> 
>    On 25 May 2007 06:42:37 +0200, Martin Rubey
>    <address@hidden > wrote:
> 
>      "Alasdair McAndrew" <address@hidden > writes:
>      > I find the behaviour of constants rather inconsistent.
>      Yes, certainly.
>      > And it's odd that %e::Float doesn't work, but %e+0::Float
>      look at the type of %e+0.0 and you will understand.  Note that it is
>      *not*
>      Float.
>      > (and any other arithmetic involving %e) does.
>      No: sin(%e)::Float does not work.
>      > Also, the Euler-Mascheroni constant should be in there!
>      Yes, certainly.
>      Martin
> 
> References
> 
>    1. mailto:address@hidden
>    2. mailto:address@hidden

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-- 
Sumant S. R. Oemrawsingh
address@hidden