Pseudo-zero set
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- EnglishPseudo-zero set
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In complex analysis (a branch of mathematical analysis), the pseudo-zero set or root neighborhood of a degree-m polynomial p(z) is the set of all complex numbers that are roots of polynomials whose coefficients differ from those of p by a small amount. Namely, given a norm on the space \mathbb{C}^{m+1} of polynomial coefficients, the pseudo-zero set is the set of all zeros of all degree-m polynomials q such that (as vectors of coefficients) is less than a given ε.
In complex analysis (a branch of mathematical analysis), the pseudo-zero set or root neighborhood of a degree-m polynomial p(z) is the set of all complex numbers that are roots of polynomials whose coefficients differ from those of p by a small amount. Namely, given a norm on the space \mathbb{C}^{m+1} of polynomial coefficients, the pseudo-zero set is the set of all zeros of all degree-m polynomials q such that (as vectors of coefficients) is less than a given ε.
See also
List of complex analysis topics Timeline of calculus and mathematical analysis
References
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