"Sendov's conjecture" meaning in All languages combined

{
  "etymology_text": "Named after Bulgarian mathematician Blagovest Sendov.",
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  "lang_code": "en",
  "pos": "name",
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      "glosses": [
        "A conjecture concerning the relationship between the locations of roots and critical points of a polynomial function of a complex variable. It states that for a polynomial f(z)=(z-r_1)⋯(z-r_n), qquad (n>2) with all roots r₁, ..., rₙ inside the closed unit disk |z| ≤ 1, each of the n roots is at a distance no more than 1 from at least one critical point."
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      "raw_glosses": [
        "(mathematics) A conjecture concerning the relationship between the locations of roots and critical points of a polynomial function of a complex variable. It states that for a polynomial f(z)=(z-r_1)⋯(z-r_n), qquad (n>2) with all roots r₁, ..., rₙ inside the closed unit disk |z| ≤ 1, each of the n roots is at a distance no more than 1 from at least one critical point."
      ],
      "synonyms": [
        {
          "word": "Ilieff's conjecture"
        }
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      "topics": [
        "mathematics",
        "sciences"
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      "wikipedia": [
        "Blagovest Sendov"
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  "word": "Sendov's conjecture"
}

{
  "etymology_text": "Named after Bulgarian mathematician Blagovest Sendov.",
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  "lang_code": "en",
  "pos": "name",
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      "glosses": [
        "A conjecture concerning the relationship between the locations of roots and critical points of a polynomial function of a complex variable. It states that for a polynomial f(z)=(z-r_1)⋯(z-r_n), qquad (n>2) with all roots r₁, ..., rₙ inside the closed unit disk |z| ≤ 1, each of the n roots is at a distance no more than 1 from at least one critical point."
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      "raw_glosses": [
        "(mathematics) A conjecture concerning the relationship between the locations of roots and critical points of a polynomial function of a complex variable. It states that for a polynomial f(z)=(z-r_1)⋯(z-r_n), qquad (n>2) with all roots r₁, ..., rₙ inside the closed unit disk |z| ≤ 1, each of the n roots is at a distance no more than 1 from at least one critical point."
      ],
      "synonyms": [
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          "word": "Ilieff's conjecture"
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      "topics": [
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      "wikipedia": [
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}