"convex function" meaning in All languages combined

{
  "antonyms": [
    {
      "word": "concave function"
    }
  ],
  "forms": [
    {
      "form": "convex functions",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "convex function (plural convex functions)",
      "name": "en-noun"
    }
  ],
  "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"
          ],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "English entries with topic categories using raw markup",
          "parents": [
            "Entries with topic categories using raw markup",
            "Entry maintenance"
          ],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "English terms with non-redundant non-automated sortkeys",
          "parents": [
            "Terms with non-redundant non-automated sortkeys",
            "Entry maintenance"
          ],
          "source": "w"
        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Computer science",
          "orig": "en:Computer science",
          "parents": [
            "Computing",
            "Sciences",
            "Technology",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Functions",
          "orig": "en:Functions",
          "parents": [
            "Algebra",
            "Calculus",
            "Geometry",
            "Mathematical analysis",
            "Mathematics",
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "glosses": [
        "A mathematical function where the line segment between any two points on the graph of the function lies above the graph in a vector space of at least two dimensions."
      ],
      "hypernyms": [
        {
          "word": "function"
        }
      ],
      "hyponyms": [
        {
          "word": "conjugate convex function"
        },
        {
          "word": "logarithmically convex function"
        }
      ],
      "id": "en-convex_function-en-noun-W7P01Gg0",
      "links": [
        [
          "computer science",
          "computer science"
        ],
        [
          "function",
          "function"
        ],
        [
          "vector space",
          "vector space"
        ],
        [
          "dimension",
          "dimension"
        ]
      ],
      "raw_glosses": [
        "(computer science) A mathematical function where the line segment between any two points on the graph of the function lies above the graph in a vector space of at least two dimensions."
      ],
      "topics": [
        "computer",
        "computing",
        "engineering",
        "mathematics",
        "natural-sciences",
        "physical-sciences",
        "science",
        "sciences"
      ],
      "translations": [
        {
          "code": "de",
          "lang": "German",
          "sense": "Translations",
          "tags": [
            "feminine"
          ],
          "word": "konvexe Funktion"
        },
        {
          "code": "tr",
          "lang": "Turkish",
          "sense": "Translations",
          "word": "konveks fonksiyon"
        }
      ]
    }
  ],
  "word": "convex function"
}

{
  "antonyms": [
    {
      "word": "concave function"
    }
  ],
  "forms": [
    {
      "form": "convex functions",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "convex function (plural convex functions)",
      "name": "en-noun"
    }
  ],
  "hypernyms": [
    {
      "word": "function"
    }
  ],
  "hyponyms": [
    {
      "word": "conjugate convex function"
    },
    {
      "word": "logarithmically convex function"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        "English countable nouns",
        "English entries with incorrect language header",
        "English entries with topic categories using raw markup",
        "English lemmas",
        "English multiword terms",
        "English nouns",
        "English terms with non-redundant non-automated sortkeys",
        "Translation table header lacks gloss",
        "en:Computer science",
        "en:Functions"
      ],
      "glosses": [
        "A mathematical function where the line segment between any two points on the graph of the function lies above the graph in a vector space of at least two dimensions."
      ],
      "links": [
        [
          "computer science",
          "computer science"
        ],
        [
          "function",
          "function"
        ],
        [
          "vector space",
          "vector space"
        ],
        [
          "dimension",
          "dimension"
        ]
      ],
      "raw_glosses": [
        "(computer science) A mathematical function where the line segment between any two points on the graph of the function lies above the graph in a vector space of at least two dimensions."
      ],
      "topics": [
        "computer",
        "computing",
        "engineering",
        "mathematics",
        "natural-sciences",
        "physical-sciences",
        "science",
        "sciences"
      ]
    }
  ],
  "translations": [
    {
      "code": "de",
      "lang": "German",
      "sense": "Translations",
      "tags": [
        "feminine"
      ],
      "word": "konvexe Funktion"
    },
    {
      "code": "tr",
      "lang": "Turkish",
      "sense": "Translations",
      "word": "konveks fonksiyon"
    }
  ],
  "word": "convex function"
}