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IsInsideAndOutsideAFunctionThatIsNotHolomorphic(AngouriMath.Entity,AngouriMath.Entity.Variable)
Method (no overloads)
Summary
Whether x is both inside a function that is not holomorphic -- a
modulus, a signum, a conjugate, a real or imaginary part, an argument -- and outside every
such function somewhere inexpr .
modulus, a signum, a conjugate, a real or imaginary part, an argument -- and outside every
such function somewhere in
Remarks
Newton's method assumes a holomorphic function, and over the complex numbers
|u| = +-u only where u is real, which a root need not make it:
x^2 + 1 = |x| has roots at +-0.618 i , where |x| is 0.618 . So
neither the search nor a split by the sign finds every root, and the search's near-copies
of a root came back as roots:x^2/|1 - x^2| = x had 1.618 + 1.7e-9 i beside
1.618 . https://github.com/asc-community/AngouriMath/issues/2139
neither the search nor a split by the sign finds every root, and the search's near-copies
of a root came back as roots:
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