I've never seen it before, and I didn't come up with anything in the issues
when I searched for the error message, so I think it is safe to report this
one. :)
Any idea what is happening, by the way?
Aaron Meurer
On Oct 9, 2010, at 8:21 PM, Ben Goodrich wrote:
> Hi,
>
> I didn't see this problem exactly when I searched through the Issues,
> but I wanted to check that it was not a known problem first.
>
> Thanks,
> Ben
>
> In [32]: c,n,r = symbols('cnr')
>
> In [33]: limit( (( 2*n*(n-r+1)/(n + r*(n-r+1)) )**c + (r-1)*( n*(n-r
> +2)/(n + r*(n-r+1)) )**c - n)/(n**c - n), n, oo )
> ---------------------------------------------------------------------------
> TypeError Traceback (most recent call
> last)
>
> /tmp/<ipython console> in <module>()
>
> /usr/lib/pymodules/python2.6/sympy/series/limits.pyc in limit(e, z,
> z0, dir)
> 89
> 90 try:
> ---> 91 r = gruntz(e, z, z0, dir)
> 92 except PoleError:
> 93 r = heuristics(e, z, z0, dir)
>
> /usr/lib/pymodules/python2.6/sympy/series/gruntz.pyc in gruntz(e, z,
> z0, dir)
> 496 #convert all limits to the limit z->oo
>
> 497 elif z0 == oo:
> --> 498 return limitinf(e, z)
> 499 elif z0 == -oo:
> 500 return limitinf(e.subs(z,-z), z)
>
> /usr/lib/pymodules/python2.6/sympy/series/gruntz.pyc in limitinf(e, x)
> 337 if e.has(log):
> 338 e = e.normal()
> --> 339 c0, e0 = mrv_leadterm(e,x)
> 340 sig=sign(e0,x)
> 341 if sig==1: return S.Zero # e0>0: lim f = 0
>
> /usr/lib/pymodules/python2.6/sympy/series/gruntz.pyc in
> mrv_leadterm(e, x, Omega)
> 395 e_up = moveup([e],x)[0]
> 396 #calculate the lead term
>
> --> 397 mrv_leadterm_up = mrv_leadterm(e_up, x, Omega_up)
> 398 #move the result (c0, e0) down
>
> 399 return tuple(movedown(mrv_leadterm_up, x))
>
> /usr/lib/pymodules/python2.6/sympy/series/gruntz.pyc in
> mrv_leadterm(e, x, Omega)
> 404 wsym = Symbol("w", real=True, positive=True, dummy=True)
> 405 f, logw=rewrite(e, set(Omega), x, wsym)
> --> 406 series = calculate_series(f, wsym)
> 407 series=series.subs(log(wsym), logw)
> 408 return series.leadterm(wsym)
>
> /usr/lib/pymodules/python2.6/sympy/series/gruntz.pyc in
> calculate_series(e, x)
> 370
> 371 f = e
> --> 372 series=f.nseries(x, 0, 2).removeO()
> 373 if series == 0:
> 374 #we need to calculate more terms, let's try 4:
>
>
> /usr/lib/pymodules/python2.6/sympy/core/basic.pyc in nseries(self, x,
> x0, n)
> 2253 See also lseries().
> 2254 """
> -> 2255 return self._eval_nseries(x, x0, n)
> 2256
> 2257 def _eval_nseries(self, x, x0, n):
>
> /usr/lib/pymodules/python2.6/sympy/core/mul.pyc in _eval_nseries(self,
> x, x0, n)
> 934 def _eval_nseries(self, x, x0, n):
> 935 from sympy import powsimp
> --> 936 terms = [t.nseries(x, x0, n) for t in self.args]
> 937 return powsimp(Mul(*terms).expand(), combine='exp',
> deep=True)
> 938
>
> /usr/lib/pymodules/python2.6/sympy/core/basic.pyc in nseries(self, x,
> x0, n)
> 2253 See also lseries().
> 2254 """
> -> 2255 return self._eval_nseries(x, x0, n)
> 2256
> 2257 def _eval_nseries(self, x, x0, n):
>
> /usr/lib/pymodules/python2.6/sympy/core/add.pyc in _eval_nseries(self,
> x, x0, n)
> 178
> 179 def _eval_nseries(self, x, x0, n):
> --> 180 terms = [t.nseries(x, x0, n) for t in self.args]
> 181 return Add(*terms)
> 182
>
> /usr/lib/pymodules/python2.6/sympy/core/basic.pyc in nseries(self, x,
> x0, n)
> 2253 See also lseries().
> 2254 """
> -> 2255 return self._eval_nseries(x, x0, n)
> 2256
> 2257 def _eval_nseries(self, x, x0, n):
>
> /usr/lib/pymodules/python2.6/sympy/core/mul.pyc in _eval_nseries(self,
> x, x0, n)
> 934 def _eval_nseries(self, x, x0, n):
> 935 from sympy import powsimp
> --> 936 terms = [t.nseries(x, x0, n) for t in self.args]
> 937 return powsimp(Mul(*terms).expand(), combine='exp',
> deep=True)
> 938
>
> /usr/lib/pymodules/python2.6/sympy/core/basic.pyc in nseries(self, x,
> x0, n)
> 2253 See also lseries().
> 2254 """
> -> 2255 return self._eval_nseries(x, x0, n)
> 2256
> 2257 def _eval_nseries(self, x, x0, n):
>
> /usr/lib/pymodules/python2.6/sympy/core/power.pyc in
> _eval_nseries(self, x, x0, n)
> 700 lt = b.as_leading_term(x)
> 701 o = order * lt**(1-e)
> --> 702 bs = b.nseries(x, x0, n-e)
> 703 if bs.is_Add:
> 704 bs = bs.removeO()
>
> /usr/lib/pymodules/python2.6/sympy/core/basic.pyc in nseries(self, x,
> x0, n)
> 2253 See also lseries().
> 2254 """
> -> 2255 return self._eval_nseries(x, x0, n)
> 2256
> 2257 def _eval_nseries(self, x, x0, n):
>
> /usr/lib/pymodules/python2.6/sympy/core/mul.pyc in _eval_nseries(self,
> x, x0, n)
> 934 def _eval_nseries(self, x, x0, n):
> 935 from sympy import powsimp
> --> 936 terms = [t.nseries(x, x0, n) for t in self.args]
> 937 return powsimp(Mul(*terms).expand(), combine='exp',
> deep=True)
> 938
>
> /usr/lib/pymodules/python2.6/sympy/core/basic.pyc in nseries(self, x,
> x0, n)
> 2253 See also lseries().
> 2254 """
> -> 2255 return self._eval_nseries(x, x0, n)
> 2256
> 2257 def _eval_nseries(self, x, x0, n):
>
> /usr/lib/pymodules/python2.6/sympy/core/power.pyc in
> _eval_nseries(self, x, x0, n)
> 656 from sympy.functions import ceiling
> 657 terms = [1/prefactor]
> --> 658 for m in xrange(1,ceiling(n/l)):
> 659 new_term = terms[-1]*(-rest)
> 660 if new_term.is_Pow:
>
> TypeError: an integer is required
>
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