{
  "id": "enwiki-001175019683",
  "slug": "pseudo-zero-set",
  "title": "Pseudo-zero set",
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  "lead": "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.",
  "body": "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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    "title": "Pseudo-zero set",
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      {
        "family": "Anticloud FZ LLE",
        "literal": "Anticloud FZ LLE"
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    "container-title": "encyclopegia.org",
    "publisher": "Anticloud FZ LLE",
    "publisher-place": "Dubai, United Arab Emirates",
    "URL": "https://encyclopegia.org/a/pseudo-zero-set",
    "issued": {
      "date-parts": [
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          2026,
          11,
          15
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    "DOI": "eo1:enwiki-001175019683",
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