"transseries" meaning in All languages combined

See transseries on Wiktionary

Noun [English]

Forms: transseries [plural]
Etymology: Blend of transcendental + series Etymology templates: {{blend|en|transcendental|series}} Blend of transcendental + series Head templates: {{en-noun|transseries}} transseries (plural transseries)
  1. (mathematics) A series (sequence of partial sums of a given sequence) in which members of the sequence from which the series is defined are defined by a transcendental function. Categories (topical): Mathematics
    Sense id: en-transseries-en-noun-Key7KS2~ Categories (other): English blends, English entries with incorrect language header, Pages with 1 entry, Pages with entries Topics: mathematics, sciences
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      "expansion": "Blend of transcendental + series",
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    }
  ],
  "etymology_text": "Blend of transcendental + series",
  "forms": [
    {
      "form": "transseries",
      "tags": [
        "plural"
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  "head_templates": [
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  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
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          "kind": "other",
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          "parents": [],
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            "Entry maintenance"
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        },
        {
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          "parents": [],
          "source": "w"
        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Mathematics",
          "orig": "en:Mathematics",
          "parents": [
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "examples": [
        {
          "ref": "2015, Matthias Aschenbrenner, Lou van den Dries, Joris van der Hoeven, “Asymptotic Differential Algebra and Model Theory of Transseries”, in arXiv:",
          "text": "We develop here the algebra of the differential field of transseries and of related valued differential fields.",
          "type": "quote"
        }
      ],
      "glosses": [
        "A series (sequence of partial sums of a given sequence) in which members of the sequence from which the series is defined are defined by a transcendental function."
      ],
      "id": "en-transseries-en-noun-Key7KS2~",
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "series",
          "series"
        ],
        [
          "sequence",
          "sequence#English"
        ],
        [
          "partial",
          "partial#English"
        ],
        [
          "sum",
          "sum#English"
        ],
        [
          "transcendental",
          "transcendental"
        ],
        [
          "function",
          "function"
        ]
      ],
      "raw_glosses": [
        "(mathematics) A series (sequence of partial sums of a given sequence) in which members of the sequence from which the series is defined are defined by a transcendental function."
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    }
  ],
  "word": "transseries"
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  ],
  "etymology_text": "Blend of transcendental + series",
  "forms": [
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      "form": "transseries",
      "tags": [
        "plural"
      ]
    }
  ],
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          "ref": "2015, Matthias Aschenbrenner, Lou van den Dries, Joris van der Hoeven, “Asymptotic Differential Algebra and Model Theory of Transseries”, in arXiv:",
          "text": "We develop here the algebra of the differential field of transseries and of related valued differential fields.",
          "type": "quote"
        }
      ],
      "glosses": [
        "A series (sequence of partial sums of a given sequence) in which members of the sequence from which the series is defined are defined by a transcendental function."
      ],
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "series",
          "series"
        ],
        [
          "sequence",
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        ],
        [
          "partial",
          "partial#English"
        ],
        [
          "sum",
          "sum#English"
        ],
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          "transcendental",
          "transcendental"
        ],
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          "function"
        ]
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      "raw_glosses": [
        "(mathematics) A series (sequence of partial sums of a given sequence) in which members of the sequence from which the series is defined are defined by a transcendental function."
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    }
  ],
  "word": "transseries"
}

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This page is a part of the kaikki.org machine-readable All languages combined dictionary. This dictionary is based on structured data extracted on 2024-10-22 from the enwiktionary dump dated 2024-10-02 using wiktextract (eaa6b66 and a709d4b). 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.