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SOLUTIONS
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NUMERICAL CALCULUS 程序包 符号
NResidue
numerically finds the residue of expr near the point
.
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- To use
, you first need to load the Numerical Calculus Package using Needs["NumericalCalculus`"]. - The expression expr must be numeric when its argument x is numeric.
- The residue is defined as the coefficient of
in the Laurent expansion of expr.
numerically integrates around a small circle centered at the point
in the complex plane.
will return an incorrect result when the punctured disk is not analytic.
is unable to recognize small numbers that should in fact be zero. Chop is often needed to eliminate these spurious residuals.- Although Residue usually needs to be able to evaluate power series at a point,
can find residues even if the power series cannot be computed.
has the same options as NIntegrate, with the following additions and changes:-
Radius 1/100 radius of contour on which integral is evaluated Method Trapezoidal integration method to use
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