"equibounded" meaning in English

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  "etymology_text": "equi- + bounded",
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  "lang_code": "en",
  "pos": "adj",
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      "derived": [
        {
          "word": "equiboundedness"
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      "examples": [
        {
          "ref": "1994, Stability & Applied Analysis of Continuous Media, volume 3, page 277",
          "text": "The stability is shown to be uniform with respect to the singular parameter or the solutions are shown to be equibounded.",
          "type": "quotation"
        },
        {
          "ref": "2011, M. A. Kaashoek, T. T. West, Locally Compact Semi-Algebras, page 8",
          "text": "An important example of such a semigroup in infinite dimensional Hilbert space is the weak operator closed monothetic semigroup generated by a linear operator with equibounded iterates.",
          "type": "quotation"
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      ],
      "glosses": [
        "Having the property that there exists a positive number M such that for all functions f in the family of functions F defined on X, |f(x)| ≤ M for all x in X."
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      "raw_glosses": [
        "(mathematics, of a family of functions) Having the property that there exists a positive number M such that for all functions f in the family of functions F defined on X, |f(x)| ≤ M for all x in X."
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  "word": "equibounded"
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  ],
  "etymology_text": "equi- + bounded",
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          "ref": "1994, Stability & Applied Analysis of Continuous Media, volume 3, page 277",
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          "ref": "2011, M. A. Kaashoek, T. T. West, Locally Compact Semi-Algebras, page 8",
          "text": "An important example of such a semigroup in infinite dimensional Hilbert space is the weak operator closed monothetic semigroup generated by a linear operator with equibounded iterates.",
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  "word": "equibounded"
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