"Krein-Milman theorem" meaning in All languages combined

{
  "etymology_text": "A less general version was originally proved by Mark Krein and David Milman.",
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  "lang": "English",
  "lang_code": "en",
  "pos": "name",
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          "name": "Functional analysis",
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          "name": "Mathematics",
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      "glosses": [
        "A proposition about convex sets in topological vector spaces."
      ],
      "id": "en-Krein-Milman_theorem-en-name-LmjdMJ4E",
      "links": [
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          "mathematics",
          "mathematics"
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        [
          "functional analysis",
          "functional analysis"
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          "proposition",
          "proposition"
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        [
          "convex",
          "convex"
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        [
          "set",
          "set"
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          "topological",
          "topological"
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        [
          "vector space",
          "vector space"
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      "qualifier": "functional analysis",
      "raw_glosses": [
        "(mathematics, functional analysis) A proposition about convex sets in topological vector spaces."
      ],
      "topics": [
        "mathematics",
        "sciences"
      ],
      "translations": [
        {
          "code": "bg",
          "lang": "Bulgarian",
          "roman": "teorema na Krejn-Milman",
          "sense": "theorem",
          "tags": [
            "neuter"
          ],
          "word": "теорема на Крейн-Милман"
        }
      ],
      "wikipedia": [
        "Krein-Milman theorem"
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  "word": "Krein-Milman theorem"
}

{
  "etymology_text": "A less general version was originally proved by Mark Krein and David Milman.",
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  "lang_code": "en",
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        "A proposition about convex sets in topological vector spaces."
      ],
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          "convex",
          "convex"
        ],
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          "set",
          "set"
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      "qualifier": "functional analysis",
      "raw_glosses": [
        "(mathematics, functional analysis) A proposition about convex sets in topological vector spaces."
      ],
      "topics": [
        "mathematics",
        "sciences"
      ],
      "wikipedia": [
        "Krein-Milman theorem"
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  ],
  "translations": [
    {
      "code": "bg",
      "lang": "Bulgarian",
      "roman": "teorema na Krejn-Milman",
      "sense": "theorem",
      "tags": [
        "neuter"
      ],
      "word": "теорема на Крейн-Милман"
    }
  ],
  "word": "Krein-Milman theorem"
}