\hTSrSSKJr SSKJr SSKJr SSKJr \"S5S5r g) zZ This module implements the Residue function and related tools for working with residues. )Mul)S)sympify)timethisresiduecSSKJn SSKJn [ U5nUS:waUR XU-5nSH>nUR XS9nURU5(aUR5S:dM> O U"WR5U5nUR(a URnOU/n[RnUH}n U RU5up[U 6n U [R U4;d:U R"(aU R$R&(d[)SU -5eU SU- :XdMyX- nM U$)a Finds the residue of ``expr`` at the point x=x0. The residue is defined as the coefficient of ``1/(x-x0)`` in the power series expansion about ``x=x0``. Examples ======== >>> from sympy import Symbol, residue, sin >>> x = Symbol("x") >>> residue(1/x, x, 0) 1 >>> residue(1/x**2, x, 0) 0 >>> residue(2/sin(x), x, 0) 2 This function is essential for the Residue Theorem [1]. References ========== .. [1] https://en.wikipedia.org/wiki/Residue_theorem r)Order)collect)r )nzterm of unexpected form: %sr )sympy.series.orderr sympy.simplify.radsimpr rsubsnserieshasgetnremoveOis_AddargsrZero as_coeff_mulrOneis_Powexp is_IntegerNotImplementedError) exprxx0r r rsrresargcms M/var/www/auris/envauris/lib/python3.13/site-packages/sympy/series/residues.pyrr sN). 4=D QwyyF# $ LLL uuU||qvvx1} %  QAxxvvs &&C" GaeeQZAHH1A1A%&Ca&GH H !8 HC  JN) __doc__sympy.core.mulrsympy.core.singletonrsympy.core.sympifyrsympy.utilities.timeutilsrrr+r*r2s1 "&. )<<r+