Hahn series in English

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

{
  "etymology_text": "Introduced by Hans Hahn in 1907.",
  "forms": [
    {
      "form": "Hahn series",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {
        "1": "*"
      },
      "expansion": "Hahn series (plural Hahn series)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        {
          "kind": "other",
          "name": "English entries with incorrect language header",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Pages with 1 entry",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Pages with entries",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "other",
          "langcode": "en",
          "name": "Mathematics",
          "orig": "en:Mathematics",
          "parents": [],
          "source": "w"
        }
      ],
      "glosses": [
        "A type of formal infinite series, a generalization of Puiseux series. They allow for arbitrary exponents of the indeterminate so long as the set supporting them forms a well-ordered subset of the value group."
      ],
      "id": "en-Hahn_series-en-noun-VKmIO2zu",
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "formal",
          "formal"
        ],
        [
          "infinite",
          "infinite"
        ],
        [
          "generalization",
          "generalization"
        ],
        [
          "Puiseux series",
          "Puiseux series"
        ],
        [
          "arbitrary",
          "arbitrary"
        ],
        [
          "exponent",
          "exponent"
        ],
        [
          "indeterminate",
          "indeterminate"
        ],
        [
          "set",
          "set"
        ],
        [
          "subset",
          "subset"
        ]
      ],
      "raw_glosses": [
        "(mathematics) A type of formal infinite series, a generalization of Puiseux series. They allow for arbitrary exponents of the indeterminate so long as the set supporting them forms a well-ordered subset of the value group."
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    }
  ],
  "word": "Hahn series"
}

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

{
  "etymology_text": "Introduced by Hans Hahn in 1907.",
  "forms": [
    {
      "form": "Hahn series",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {
        "1": "*"
      },
      "expansion": "Hahn series (plural Hahn series)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        "English countable nouns",
        "English entries with incorrect language header",
        "English eponyms",
        "English lemmas",
        "English multiword terms",
        "English nouns",
        "Pages with 1 entry",
        "Pages with entries",
        "en:Mathematics"
      ],
      "glosses": [
        "A type of formal infinite series, a generalization of Puiseux series. They allow for arbitrary exponents of the indeterminate so long as the set supporting them forms a well-ordered subset of the value group."
      ],
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "formal",
          "formal"
        ],
        [
          "infinite",
          "infinite"
        ],
        [
          "generalization",
          "generalization"
        ],
        [
          "Puiseux series",
          "Puiseux series"
        ],
        [
          "arbitrary",
          "arbitrary"
        ],
        [
          "exponent",
          "exponent"
        ],
        [
          "indeterminate",
          "indeterminate"
        ],
        [
          "set",
          "set"
        ],
        [
          "subset",
          "subset"
        ]
      ],
      "raw_glosses": [
        "(mathematics) A type of formal infinite series, a generalization of Puiseux series. They allow for arbitrary exponents of the indeterminate so long as the set supporting them forms a well-ordered subset of the value group."
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    }
  ],
  "word": "Hahn series"
}

This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2026-03-25 from the enwiktionary dump dated 2026-03-03 using wiktextract (05c257f and 9d9a410). 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.

"Hahn series" meaning in English

Noun