"convex set" meaning in English

{
  "forms": [
    {
      "form": "convex sets",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
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      "expansion": "convex set (plural convex sets)",
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  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        {
          "kind": "other",
          "name": "English entries with incorrect language header",
          "parents": [
            "Entries with incorrect language header",
            "Entry maintenance"
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          "source": "w"
        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Mathematics",
          "orig": "en:Mathematics",
          "parents": [
            "Formal sciences",
            "Sciences",
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            "Fundamental"
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          "source": "w"
        }
      ],
      "glosses": [
        "A set which contains any convex combination of any (finite) subset of its points."
      ],
      "id": "en-convex_set-en-noun-1cIi1fyW",
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "set",
          "set"
        ],
        [
          "convex combination",
          "convex combination"
        ]
      ],
      "raw_glosses": [
        "(mathematics) A set which contains any convex combination of any (finite) subset of its points."
      ],
      "topics": [
        "mathematics",
        "sciences"
      ],
      "wikipedia": [
        "convex set"
      ]
    }
  ],
  "word": "convex set"
}

{
  "forms": [
    {
      "form": "convex sets",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "convex set (plural convex sets)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        "English countable nouns",
        "English entries with incorrect language header",
        "English lemmas",
        "English multiword terms",
        "English nouns",
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      ],
      "glosses": [
        "A set which contains any convex combination of any (finite) subset of its points."
      ],
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "set",
          "set"
        ],
        [
          "convex combination",
          "convex combination"
        ]
      ],
      "raw_glosses": [
        "(mathematics) A set which contains any convex combination of any (finite) subset of its points."
      ],
      "topics": [
        "mathematics",
        "sciences"
      ],
      "wikipedia": [
        "convex set"
      ]
    }
  ],
  "word": "convex set"
}