"interior point" meaning in English

See interior point in All languages combined, or Wiktionary

Noun

Forms: interior points [plural]
Head templates: {{en-noun}} interior point (plural interior points)
  1. (mathematics, topology) A point in a set S that has a neighbourhood which is contained in S. Categories (topical): Mathematics, Topology Related terms: interior Translations (point in a set): innerer Punkt [masculine] (German)
    Sense id: en-interior_point-en-noun-s-IqUFmj Categories (other): English entries with incorrect language header Topics: mathematics, sciences, topology

Inflected forms

Download JSON data for interior point meaning in English (1.3kB)

{
  "forms": [
    {
      "form": "interior points",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "interior point (plural interior points)",
      "name": "en-noun"
    }
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  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        {
          "kind": "other",
          "name": "English entries with incorrect language header",
          "parents": [
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            "Entry maintenance"
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          "source": "w"
        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Mathematics",
          "orig": "en:Mathematics",
          "parents": [
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            "Sciences",
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            "Fundamental"
          ],
          "source": "w"
        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Topology",
          "orig": "en:Topology",
          "parents": [
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            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "glosses": [
        "A point in a set S that has a neighbourhood which is contained in S."
      ],
      "id": "en-interior_point-en-noun-s-IqUFmj",
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "topology",
          "topology"
        ],
        [
          "neighbourhood",
          "neighbourhood"
        ]
      ],
      "raw_glosses": [
        "(mathematics, topology) A point in a set S that has a neighbourhood which is contained in S."
      ],
      "related": [
        {
          "word": "interior"
        }
      ],
      "topics": [
        "mathematics",
        "sciences",
        "topology"
      ],
      "translations": [
        {
          "code": "de",
          "lang": "German",
          "sense": "point in a set",
          "tags": [
            "masculine"
          ],
          "word": "innerer Punkt"
        }
      ]
    }
  ],
  "word": "interior point"
}
{
  "forms": [
    {
      "form": "interior points",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "interior point (plural interior points)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "related": [
    {
      "word": "interior"
    }
  ],
  "senses": [
    {
      "categories": [
        "English countable nouns",
        "English entries with incorrect language header",
        "English lemmas",
        "English multiword terms",
        "English nouns",
        "en:Mathematics",
        "en:Topology"
      ],
      "glosses": [
        "A point in a set S that has a neighbourhood which is contained in S."
      ],
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "topology",
          "topology"
        ],
        [
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          "neighbourhood"
        ]
      ],
      "raw_glosses": [
        "(mathematics, topology) A point in a set S that has a neighbourhood which is contained in S."
      ],
      "topics": [
        "mathematics",
        "sciences",
        "topology"
      ]
    }
  ],
  "translations": [
    {
      "code": "de",
      "lang": "German",
      "sense": "point in a set",
      "tags": [
        "masculine"
      ],
      "word": "innerer Punkt"
    }
  ],
  "word": "interior point"
}

This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2024-05-03 from the enwiktionary dump dated 2024-05-02 using wiktextract (f4fd8c9 and c9440ce). The data shown on this site has been post-processed and various details (e.g., extra categories) removed, some information disambiguated, and additional data merged from other sources. See the raw data download page for the unprocessed wiktextract data.

If you use this data in academic research, please cite Tatu Ylonen: Wiktextract: Wiktionary as Machine-Readable Structured Data, Proceedings of the 13th Conference on Language Resources and Evaluation (LREC), pp. 1317-1325, Marseille, 20-25 June 2022. Linking to the relevant page(s) under https://kaikki.org would also be greatly appreciated.