sequential continuity in English

[Show JSON for post-processed kaikki.org data shown on this page ▼] [Hide JSON for post-processed kaikki.org data shown on this page ▲]

{
  "head_templates": [
    {
      "args": {
        "1": "-"
      },
      "expansion": "sequential continuity (uncountable)",
      "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": "topical",
          "langcode": "en",
          "name": "Mathematical analysis",
          "orig": "en:Mathematical analysis",
          "parents": [
            "Mathematics",
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "glosses": [
        "The property of a function f between metric spaces, that given a convergent sequence x_n→x^*, then f(x_n)→f(x^*), i.e. the property of a function that it preserves sequential convergence."
      ],
      "id": "en-sequential_continuity-en-noun-HV6XOlOe",
      "links": [
        [
          "mathematical analysis",
          "mathematical analysis"
        ],
        [
          "function",
          "function"
        ],
        [
          "metric spaces",
          "metric spaces"
        ],
        [
          "convergent",
          "convergent"
        ],
        [
          "sequence",
          "sequence"
        ]
      ],
      "raw_glosses": [
        "(mathematical analysis) The property of a function f between metric spaces, that given a convergent sequence x_n→x^*, then f(x_n)→f(x^*), i.e. the property of a function that it preserves sequential convergence."
      ],
      "tags": [
        "uncountable"
      ],
      "topics": [
        "mathematical-analysis",
        "mathematics",
        "sciences"
      ],
      "translations": [
        {
          "code": "de",
          "lang": "German",
          "sense": "property of a function",
          "tags": [
            "feminine"
          ],
          "word": "Folgenstetigkeit"
        },
        {
          "code": "ro",
          "lang": "Romanian",
          "sense": "property of a function",
          "tags": [
            "feminine"
          ],
          "word": "continuitate secvențială"
        }
      ]
    }
  ],
  "word": "sequential continuity"
}

[Show JSON for raw wiktextract data ▼] [Hide JSON for raw wiktextract data ▲]

{
  "head_templates": [
    {
      "args": {
        "1": "-"
      },
      "expansion": "sequential continuity (uncountable)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        "English entries with incorrect language header",
        "English lemmas",
        "English multiword terms",
        "English nouns",
        "English uncountable nouns",
        "en:Mathematical analysis"
      ],
      "glosses": [
        "The property of a function f between metric spaces, that given a convergent sequence x_n→x^*, then f(x_n)→f(x^*), i.e. the property of a function that it preserves sequential convergence."
      ],
      "links": [
        [
          "mathematical analysis",
          "mathematical analysis"
        ],
        [
          "function",
          "function"
        ],
        [
          "metric spaces",
          "metric spaces"
        ],
        [
          "convergent",
          "convergent"
        ],
        [
          "sequence",
          "sequence"
        ]
      ],
      "raw_glosses": [
        "(mathematical analysis) The property of a function f between metric spaces, that given a convergent sequence x_n→x^*, then f(x_n)→f(x^*), i.e. the property of a function that it preserves sequential convergence."
      ],
      "tags": [
        "uncountable"
      ],
      "topics": [
        "mathematical-analysis",
        "mathematics",
        "sciences"
      ]
    }
  ],
  "translations": [
    {
      "code": "de",
      "lang": "German",
      "sense": "property of a function",
      "tags": [
        "feminine"
      ],
      "word": "Folgenstetigkeit"
    },
    {
      "code": "ro",
      "lang": "Romanian",
      "sense": "property of a function",
      "tags": [
        "feminine"
      ],
      "word": "continuitate secvențială"
    }
  ],
  "word": "sequential continuity"
}

This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2024-05-15 from the enwiktionary dump dated 2024-05-02 using wiktextract (8203a16 and 304864d). 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.

"sequential continuity" meaning in English

Noun