"open ball" meaning in All languages combined

{
  "forms": [
    {
      "form": "open balls",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "open ball (plural open balls)",
      "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": "Entries with translation boxes",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Pages with 1 entry",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Pages with entries",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Terms with French translations",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Mathematical analysis",
          "orig": "en:Mathematical analysis",
          "parents": [
            "Mathematics",
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Topology",
          "orig": "en:Topology",
          "parents": [
            "Mathematics",
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "glosses": [
        "The set of all points in a metric space whose distance from a given point (\"the open ball's center\") is less than a given length (\"the open ball's radius\")."
      ],
      "holonyms": [
        {
          "word": "open set"
        }
      ],
      "id": "en-open_ball-en-noun-HNaMhL1l",
      "links": [
        [
          "topology",
          "topology"
        ],
        [
          "mathematical analysis",
          "mathematical analysis"
        ],
        [
          "set",
          "set"
        ],
        [
          "points",
          "points"
        ],
        [
          "metric space",
          "metric space"
        ],
        [
          "distance",
          "distance"
        ],
        [
          "center",
          "center"
        ],
        [
          "radius",
          "radius"
        ]
      ],
      "qualifier": "restricted to metric spaces",
      "raw_glosses": [
        "(topology, mathematical analysis, restricted to metric spaces) The set of all points in a metric space whose distance from a given point (\"the open ball's center\") is less than a given length (\"the open ball's radius\")."
      ],
      "topics": [
        "mathematical-analysis",
        "mathematics",
        "sciences",
        "topology"
      ],
      "translations": [
        {
          "code": "fr",
          "lang": "French",
          "sense": "Translations",
          "tags": [
            "feminine"
          ],
          "word": "boule ouverte"
        }
      ]
    }
  ],
  "word": "open ball"
}

{
  "forms": [
    {
      "form": "open balls",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "open ball (plural open balls)",
      "name": "en-noun"
    }
  ],
  "holonyms": [
    {
      "word": "open set"
    }
  ],
  "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",
        "Entries with translation boxes",
        "Pages with 1 entry",
        "Pages with entries",
        "Terms with French translations",
        "Translation table header lacks gloss",
        "en:Mathematical analysis",
        "en:Topology"
      ],
      "glosses": [
        "The set of all points in a metric space whose distance from a given point (\"the open ball's center\") is less than a given length (\"the open ball's radius\")."
      ],
      "links": [
        [
          "topology",
          "topology"
        ],
        [
          "mathematical analysis",
          "mathematical analysis"
        ],
        [
          "set",
          "set"
        ],
        [
          "points",
          "points"
        ],
        [
          "metric space",
          "metric space"
        ],
        [
          "distance",
          "distance"
        ],
        [
          "center",
          "center"
        ],
        [
          "radius",
          "radius"
        ]
      ],
      "qualifier": "restricted to metric spaces",
      "raw_glosses": [
        "(topology, mathematical analysis, restricted to metric spaces) The set of all points in a metric space whose distance from a given point (\"the open ball's center\") is less than a given length (\"the open ball's radius\")."
      ],
      "topics": [
        "mathematical-analysis",
        "mathematics",
        "sciences",
        "topology"
      ]
    }
  ],
  "translations": [
    {
      "code": "fr",
      "lang": "French",
      "sense": "Translations",
      "tags": [
        "feminine"
      ],
      "word": "boule ouverte"
    }
  ],
  "word": "open ball"
}