Hello all,
I've been trying to use SAGE to find the positive infinity limit of this
function:
f(x) = ln(x^x) / ln(x!)
However, if I try defining it in SAGE like this:
f(x) = ln(x^x) / ln(factorial(x))
I get the following error message:
---------------------------------------------------------------------------
<type 'exceptions.TypeError'> Traceback (most recent call last)
/Users/erios/<ipython console> in <module>()
/Applications/SAGE/local/lib/python2.5/site-packages/sage/rings/arith.py in
factorial(n, algorithm)
273 Z = integer_ring.ZZ
274 if algorithm == 'gmp':
--> 275 return Z(n).factorial()
276 elif algorithm == 'pari':
277 return Z(pari('%s!'%Z(n)))
/Users/erios/integer_ring.pyx in
sage.rings.integer_ring.IntegerRing_class.__call__()
<type 'exceptions.TypeError'>: unable to convert x (=x) to an integer
I have tried several variations of the above code, including alternative
ways to define the function, but they all stumble, one way or the other, in
an apparent inability of SAGE to convert a SymbolicVariable into an Integer.
Is there some way to corner SAGE into converting a SymbolicVariable into an
Integer, or to avoid having to – perhaps with a symbolic-calculus-friendly
factorial function?
--
Ja ne,
Helio Perroni Filho
Memory Leak
http://xperroni.blogspot.com
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