+ iVRt^RIHt^RIHt^RIHt^RIHt]!R4R4t R#)zZ This module implements the Residue function and related tools for working with residues. )Mul)S)sympify)timethisresiduec^RIHp^RIHp\ V4pV^8wdVP WV,4pRFCpVP WR7pVPV4'dVP4^8gKCM V!XP4V4pVP'dVPpMV.p\PpVFp V PV4wr\V !p V \P V39gAV P"'dV P$P&'g\)RV ,4hV ^V, 8XgKW, pK V#)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 )Order)collect)nzterm of unexpected form: %s) )sympy.series.orderrsympy.simplify.radsimpr rsubsnserieshasgetnremoveOis_AddargsrZero as_coeff_mulrOneis_Powexp is_IntegerNotImplementedError) exprxx0rr r srresargcms &&& u/Users/tonyclaw/.openclaw/workspace/skills/math-calculator/venv/lib/python3.14/site-packages/sympy/series/residues.pyrr sN). 4=D QwyyF# $ LLL uuU||qvvx1} %  QAxxxvvs &&C" GaeeQZAHHH1A1A1A%&Ca&GH H !8 HC  JN) __doc__sympy.core.mulrsympy.core.singletonrsympy.core.sympifyrsympy.utilities.timeutilsrrr+r*r2s1 "&. )<<r+