Also, given a concrete integral, transform it into one in the complex
plane. This requires appropriate choice and representation of contour.
Figure out which (potential) poles lie inside the contour.
On 28.03.2012 14:49, arpit goyal wrote:
Now this means Definite Integration using residues has to cross these
hurdles :
1)Modify solve() for periodic functions ,it works very well for polynomial.
2)Modify residue() function
3) Convergence of the integrand .
4)Categorise the Integrand
On Wed, Mar 28, 2012 at 6:14 PM, arpit goyal <agmp...@gmail.com
<mailto:agmp...@gmail.com>> wrote:
Sorry my bad , i misread , you mention *superset* . so no ples will
be left out .
On Wed, Mar 28, 2012 at 6:10 PM, arpit goyal <agmp...@gmail.com
<mailto:agmp...@gmail.com>> wrote:
Tom,
Sorry but I don't understand your point. As we do require
precise list of poles (i might be wrong ,it is just what i
know), as we reqire summatin of all the residues at the poles ,
so if any one is left ,it will change the answer.
On Wed, Mar 28, 2012 at 5:42 PM, Tom Bachmann <e_mc...@web.de
<mailto:e_mc...@web.de>> wrote:
Note also that, for computing with residues, you don't need
a precise list of the poles, just a *superset*. Just as you
don't need precise knowledge of the growth of the function,
just an upper bound (although here you probably want to be
tighter). So it might be best to look at all parts of an
expression in turn to determine the poles (i.e. recursively
apply poles(f+g) = poles(f) union poles(g), same for
multiplication etc.)
On 28.03.2012 12:05, Chris Smith wrote:
On Wed, Mar 28, 2012 at 4:42 PM, arpit goyal
<agmp...@gmail.com <mailto:agmp...@gmail.com>
<mailto:agmp...@gmail.com <mailto:agmp...@gmail.com>>>
wrote:
Aaron ,
I looked the code ,and then then tested the working
solve(x*cos(x),x) the answer was very accuraely
given (not all x for
cos(x) was shown or general solutions was not shown
) but
solve(x**2*cos(x),x) , NotImplementedError: Unable
to solve the
equation.
Be sure to get the current master since there,
>>> solve(x**2*cos(x),x)
[0, pi/2]
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