The foo.expand() - foo.apart(xi_s).expand() issue is there for me on
the master version of SymPy.

Aaron Meurer

On Wed, Mar 11, 2015 at 1:17 PM, Chris Smith <[email protected]> wrote:
> Check the version of SymPy that you are using. The development version gives
>
>>>> var('x y')
> (x, y)
>>>> apart(1/(x+y)-Rational(1,2)*x**2)
> Traceback (most recent call last):
>   File "<stdin>", line 1, in <module>
>   File "sympy\utilities\decorator.py", line 35, in threaded_func
>     return func(expr, *args, **kwargs)
>   File "sympy\polys\partfrac.py", line 123, in apart
>     return apart(fc, x=x, full=full, **_options)
>   File "sympy\utilities\decorator.py", line 35, in threaded_func
>     return func(expr, *args, **kwargs)
>   File "sympy\polys\partfrac.py", line 126, in apart
>     "multivariate partial fraction decomposition")
> NotImplementedError: multivariate partial fraction decomposition
>
>
> On Tuesday, March 10, 2015 at 1:07:30 PM UTC-5, Aaron Meurer wrote:
>>
>> It looks like a bug. If you do foo.expand() - foo.apart(xi_s).expand()
>> you get a term which is definitely not equal to zero.
>>
>> Aaron Meurer
>>
>> On Tue, Mar 10, 2015 at 9:57 AM, Francesco Biscani <[email protected]>
>> wrote:
>> > Hello list,
>> >
>> > I feel a bit embarrassed as probably I am doing something blatantly
>> > wrong,
>> > but I cannot understand what is going here. Consider this snippet (copy
>> > pasted from an Ipython notebook):
>> >
>> > """
>> > import sympy
>> > sympy.init_printing()
>> > from sympy import Symbol,sqrt,cos,sin,solve,Function,atan,apart,S
>> >
>> > # Some symbols
>> > h,n,m,M,g,t,xi_s,eta_s = [Symbol(_) for _ in
>> > ['h','n','m','M','g','t',r'\xi',r'\eta']]
>> > pxi,peta = [Symbol(_) for _ in [r'p_\xi',r'p_\eta']]
>> >
>> > # A rational expression
>> > foo =
>> >
>> > 32*eta_s**8*g*m/(eta_s**2+xi_s**2)**3-64*eta_s**6*g*m/(eta_s**2+xi_s**2)**2-23*g/2*eta_s**2*m-7*g/2*xi_s**2*m+(320*eta_s**4*g*m**2+peta**2+pxi**2)/(8*m*(eta_s**2+xi_s**2))
>> > """
>> >
>> > Now if I do "foo_apart(xi_s)", it seems like there are two parts of the
>> > expression that disappear. (specifically,
>> > -23*g/2*eta_s**2*m-7*g/2*xi_s**2*m
>> > is not there any more). Indeed, if I do:
>> >
>> > """
>> > foo.apart(xi_s).expand() == foo.expand()
>> > """
>> >
>> > This returns False.
>> >
>> > My brain is a bit fried at the moment :) So what am I overlooking here?
>> >
>> > Cheers,
>> >
>> >   Francesco.
>> >
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