"階乘" meaning in All languages combined

See 階乘 on Wiktionary

Noun [Chinese]

IPA: /t͡ɕi̯ɛ⁵⁵ ʈ͡ʂʰɤŋ³⁵/ [Mandarin, Sinological-IPA], /kaːi̯⁵⁵ sɪŋ²¹/ [Cantonese, Sinological-IPA], /t͡ɕi̯ɛ⁵⁵ ʈ͡ʂʰɤŋ³⁵/, /kaːi̯⁵⁵ sɪŋ²¹/ Chinese transliterations: jiēchéng [Mandarin, Pinyin], ㄐㄧㄝ ㄔㄥˊ [Mandarin, bopomofo], gaai¹ sing⁴ [Cantonese, Jyutping], jiēchéng [Hanyu-Pinyin, Mandarin], jiechéng [Mandarin, Tongyong-Pinyin], chieh¹-chʻêng² [Mandarin, Wade-Giles], jyē-chéng [Mandarin, Yale], jiecherng [Gwoyeu-Romatsyh, Mandarin], цзечэн [Mandarin, Palladius], czečɛn [Mandarin, Palladius], gāai sìhng [Cantonese, Yale], gaai¹ sing⁴ [Cantonese, Pinyin], gai¹ xing⁴ [Cantonese, Guangdong-Romanization] Forms: 阶乘
Head templates: {{head|zh|noun}} 階乘
  1. (combinatorics) factorial Categories (topical): Combinatorics Derived forms: 雙階乘 (shuāngjiēchéng), 双阶乘 (shuāngjiēchéng)

Noun [Japanese]

Forms: 階乘 [canonical] (ruby: (かい), (じょう)), kaijō [romanization]
Head templates: {{ja-noun|かいじょう}} 階(かい)乘(じょう) • (kaijō)
  1. Kyūjitai form of 階乗 (factorial) Tags: form-of, kyūjitai Form of: 階乗 (extra: factorial)

Noun [Korean]

Forms: gyeseung [romanization], kyesŭng [McCune-Reischauer, romanization], kyeysung [Yale, romanization], 계승 [hangeul]
Head templates: {{ko-noun|hangeul=계승|mr=kyesŭng|y=kyeysung}} 階乘 • (gyeseung or McCune-Reischauer: kyesŭng or Yale: kyeysung) (hangeul 계승)
  1. hanja form of 계승 (“factorial”) Tags: form-of, hanja Form of: 계승 (extra: factorial)

Noun [Vietnamese]

Head templates: {{head|vi|noun|||head=|tr=}} 階乘, {{vi-noun|sc=Hani}} 階乘
  1. chữ Hán form of giai thừa (“factorial”).
{
  "forms": [
    {
      "form": "阶乘",
      "raw_tags": [
        "Simplified Chinese"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {
        "1": "zh",
        "2": "noun"
      },
      "expansion": "階乘",
      "name": "head"
    }
  ],
  "lang": "Chinese",
  "lang_code": "zh",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        {
          "kind": "other",
          "name": "Chinese entries with incorrect language header",
          "parents": [
            "Entries with incorrect language header",
            "Entry maintenance"
          ],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Pages with 4 entries",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Pages with entries",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "topical",
          "langcode": "zh",
          "name": "Combinatorics",
          "orig": "zh:Combinatorics",
          "parents": [
            "Mathematics",
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "derived": [
        {
          "roman": "shuāngjiēchéng",
          "word": "雙階乘"
        },
        {
          "roman": "shuāngjiēchéng",
          "word": "双阶乘"
        }
      ],
      "glosses": [
        "factorial"
      ],
      "id": "en-階乘-zh-noun-BJsyU~So",
      "links": [
        [
          "combinatorics",
          "combinatorics"
        ],
        [
          "factorial",
          "factorial"
        ]
      ],
      "raw_glosses": [
        "(combinatorics) factorial"
      ],
      "topics": [
        "combinatorics",
        "mathematics",
        "sciences"
      ]
    }
  ],
  "sounds": [
    {
      "tags": [
        "Mandarin",
        "Pinyin"
      ],
      "zh-pron": "jiēchéng"
    },
    {
      "tags": [
        "Mandarin",
        "bopomofo"
      ],
      "zh-pron": "ㄐㄧㄝ ㄔㄥˊ"
    },
    {
      "tags": [
        "Cantonese",
        "Jyutping"
      ],
      "zh-pron": "gaai¹ sing⁴"
    },
    {
      "tags": [
        "Hanyu-Pinyin",
        "Mandarin"
      ],
      "zh-pron": "jiēchéng"
    },
    {
      "tags": [
        "Mandarin",
        "Tongyong-Pinyin"
      ],
      "zh-pron": "jiechéng"
    },
    {
      "tags": [
        "Mandarin",
        "Wade-Giles"
      ],
      "zh-pron": "chieh¹-chʻêng²"
    },
    {
      "tags": [
        "Mandarin",
        "Yale"
      ],
      "zh-pron": "jyē-chéng"
    },
    {
      "tags": [
        "Gwoyeu-Romatsyh",
        "Mandarin"
      ],
      "zh-pron": "jiecherng"
    },
    {
      "tags": [
        "Mandarin",
        "Palladius"
      ],
      "zh-pron": "цзечэн"
    },
    {
      "tags": [
        "Mandarin",
        "Palladius"
      ],
      "zh-pron": "czečɛn"
    },
    {
      "ipa": "/t͡ɕi̯ɛ⁵⁵ ʈ͡ʂʰɤŋ³⁵/",
      "tags": [
        "Mandarin",
        "Sinological-IPA"
      ]
    },
    {
      "tags": [
        "Cantonese",
        "Yale"
      ],
      "zh-pron": "gāai sìhng"
    },
    {
      "tags": [
        "Cantonese",
        "Pinyin"
      ],
      "zh-pron": "gaai¹ sing⁴"
    },
    {
      "tags": [
        "Cantonese",
        "Guangdong-Romanization"
      ],
      "zh-pron": "gai¹ xing⁴"
    },
    {
      "ipa": "/kaːi̯⁵⁵ sɪŋ²¹/",
      "tags": [
        "Cantonese",
        "Sinological-IPA"
      ]
    },
    {
      "ipa": "/t͡ɕi̯ɛ⁵⁵ ʈ͡ʂʰɤŋ³⁵/"
    },
    {
      "ipa": "/kaːi̯⁵⁵ sɪŋ²¹/"
    }
  ],
  "word": "階乘"
}

{
  "forms": [
    {
      "form": "階乘",
      "ruby": [
        [
          "階",
          "かい"
        ],
        [
          "乘",
          "じょう"
        ]
      ],
      "tags": [
        "canonical"
      ]
    },
    {
      "form": "kaijō",
      "tags": [
        "romanization"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {
        "1": "かいじょう"
      },
      "expansion": "階(かい)乘(じょう) • (kaijō)",
      "name": "ja-noun"
    }
  ],
  "lang": "Japanese",
  "lang_code": "ja",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        {
          "kind": "other",
          "name": "Japanese entries with incorrect language header",
          "parents": [
            "Entries with incorrect language header",
            "Entry maintenance"
          ],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Japanese kyūjitai spellings",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Japanese links with redundant wikilinks",
          "parents": [
            "Links with redundant wikilinks",
            "Entry maintenance"
          ],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Japanese terms with 2 kanji",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Japanese terms with redundant sortkeys",
          "parents": [
            "Terms with redundant sortkeys",
            "Entry maintenance"
          ],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Pages with 4 entries",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Pages with entries",
          "parents": [],
          "source": "w"
        }
      ],
      "form_of": [
        {
          "extra": "factorial",
          "word": "階乗"
        }
      ],
      "glosses": [
        "Kyūjitai form of 階乗 (factorial)"
      ],
      "id": "en-階乘-ja-noun-JXAO0Kt9",
      "links": [
        [
          "Kyūjitai",
          "kyūjitai"
        ],
        [
          "階乗",
          "階乗#Japanese"
        ],
        [
          "factorial",
          "factorial"
        ]
      ],
      "tags": [
        "form-of",
        "kyūjitai"
      ]
    }
  ],
  "word": "階乘"
}

{
  "forms": [
    {
      "form": "gyeseung",
      "tags": [
        "romanization"
      ]
    },
    {
      "form": "kyesŭng",
      "tags": [
        "McCune-Reischauer",
        "romanization"
      ]
    },
    {
      "form": "kyeysung",
      "tags": [
        "Yale",
        "romanization"
      ]
    },
    {
      "form": "계승",
      "tags": [
        "hangeul"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {
        "hangeul": "계승",
        "mr": "kyesŭng",
        "y": "kyeysung"
      },
      "expansion": "階乘 • (gyeseung or McCune-Reischauer: kyesŭng or Yale: kyeysung) (hangeul 계승)",
      "name": "ko-noun"
    }
  ],
  "lang": "Korean",
  "lang_code": "ko",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        {
          "kind": "other",
          "name": "Korean entries with incorrect language header",
          "parents": [
            "Entries with incorrect language header",
            "Entry maintenance"
          ],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Korean terms with non-redundant non-automated sortkeys",
          "parents": [
            "Terms with non-redundant non-automated sortkeys",
            "Entry maintenance"
          ],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Korean terms with redundant script codes",
          "parents": [
            "Terms with redundant script codes",
            "Entry maintenance"
          ],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Pages with 4 entries",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Pages with entries",
          "parents": [],
          "source": "w"
        }
      ],
      "form_of": [
        {
          "extra": "factorial",
          "word": "계승"
        }
      ],
      "glosses": [
        "hanja form of 계승 (“factorial”)"
      ],
      "id": "en-階乘-ko-noun-XEXQRUis",
      "links": [
        [
          "hanja",
          "hanja#English"
        ],
        [
          "계승",
          "계승#Korean"
        ],
        [
          "factorial",
          "factorial"
        ]
      ],
      "tags": [
        "form-of",
        "hanja"
      ]
    }
  ],
  "word": "階乘"
}

{
  "head_templates": [
    {
      "args": {
        "1": "vi",
        "2": "noun",
        "3": "",
        "4": "",
        "head": "",
        "tr": ""
      },
      "expansion": "階乘",
      "name": "head"
    },
    {
      "args": {
        "sc": "Hani"
      },
      "expansion": "階乘",
      "name": "vi-noun"
    }
  ],
  "lang": "Vietnamese",
  "lang_code": "vi",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        {
          "kind": "other",
          "name": "Pages with 4 entries",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Pages with entries",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Vietnamese Chữ Hán",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Vietnamese entries with incorrect language header",
          "parents": [
            "Entries with incorrect language header",
            "Entry maintenance"
          ],
          "source": "w"
        }
      ],
      "glosses": [
        "chữ Hán form of giai thừa (“factorial”)."
      ],
      "id": "en-階乘-vi-noun-qPaa0k25",
      "links": [
        [
          "chữ Hán",
          "chữ Hán#Vietnamese"
        ],
        [
          "giai thừa",
          "giai thừa#Vietnamese"
        ],
        [
          "factorial",
          "factorial"
        ]
      ]
    }
  ],
  "word": "階乘"
}
{
  "derived": [
    {
      "roman": "shuāngjiēchéng",
      "word": "雙階乘"
    },
    {
      "roman": "shuāngjiēchéng",
      "word": "双阶乘"
    }
  ],
  "forms": [
    {
      "form": "阶乘",
      "raw_tags": [
        "Simplified Chinese"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {
        "1": "zh",
        "2": "noun"
      },
      "expansion": "階乘",
      "name": "head"
    }
  ],
  "lang": "Chinese",
  "lang_code": "zh",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        "Cantonese lemmas",
        "Cantonese nouns",
        "Chinese entries with incorrect language header",
        "Chinese lemmas",
        "Chinese nouns",
        "Chinese terms spelled with 乘",
        "Chinese terms spelled with 階",
        "Chinese terms with IPA pronunciation",
        "Mandarin lemmas",
        "Mandarin nouns",
        "Pages with 4 entries",
        "Pages with entries",
        "zh:Combinatorics"
      ],
      "glosses": [
        "factorial"
      ],
      "links": [
        [
          "combinatorics",
          "combinatorics"
        ],
        [
          "factorial",
          "factorial"
        ]
      ],
      "raw_glosses": [
        "(combinatorics) factorial"
      ],
      "topics": [
        "combinatorics",
        "mathematics",
        "sciences"
      ]
    }
  ],
  "sounds": [
    {
      "tags": [
        "Mandarin",
        "Pinyin"
      ],
      "zh-pron": "jiēchéng"
    },
    {
      "tags": [
        "Mandarin",
        "bopomofo"
      ],
      "zh-pron": "ㄐㄧㄝ ㄔㄥˊ"
    },
    {
      "tags": [
        "Cantonese",
        "Jyutping"
      ],
      "zh-pron": "gaai¹ sing⁴"
    },
    {
      "tags": [
        "Hanyu-Pinyin",
        "Mandarin"
      ],
      "zh-pron": "jiēchéng"
    },
    {
      "tags": [
        "Mandarin",
        "Tongyong-Pinyin"
      ],
      "zh-pron": "jiechéng"
    },
    {
      "tags": [
        "Mandarin",
        "Wade-Giles"
      ],
      "zh-pron": "chieh¹-chʻêng²"
    },
    {
      "tags": [
        "Mandarin",
        "Yale"
      ],
      "zh-pron": "jyē-chéng"
    },
    {
      "tags": [
        "Gwoyeu-Romatsyh",
        "Mandarin"
      ],
      "zh-pron": "jiecherng"
    },
    {
      "tags": [
        "Mandarin",
        "Palladius"
      ],
      "zh-pron": "цзечэн"
    },
    {
      "tags": [
        "Mandarin",
        "Palladius"
      ],
      "zh-pron": "czečɛn"
    },
    {
      "ipa": "/t͡ɕi̯ɛ⁵⁵ ʈ͡ʂʰɤŋ³⁵/",
      "tags": [
        "Mandarin",
        "Sinological-IPA"
      ]
    },
    {
      "tags": [
        "Cantonese",
        "Yale"
      ],
      "zh-pron": "gāai sìhng"
    },
    {
      "tags": [
        "Cantonese",
        "Pinyin"
      ],
      "zh-pron": "gaai¹ sing⁴"
    },
    {
      "tags": [
        "Cantonese",
        "Guangdong-Romanization"
      ],
      "zh-pron": "gai¹ xing⁴"
    },
    {
      "ipa": "/kaːi̯⁵⁵ sɪŋ²¹/",
      "tags": [
        "Cantonese",
        "Sinological-IPA"
      ]
    },
    {
      "ipa": "/t͡ɕi̯ɛ⁵⁵ ʈ͡ʂʰɤŋ³⁵/"
    },
    {
      "ipa": "/kaːi̯⁵⁵ sɪŋ²¹/"
    }
  ],
  "word": "階乘"
}

{
  "forms": [
    {
      "form": "階乘",
      "ruby": [
        [
          "階",
          "かい"
        ],
        [
          "乘",
          "じょう"
        ]
      ],
      "tags": [
        "canonical"
      ]
    },
    {
      "form": "kaijō",
      "tags": [
        "romanization"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {
        "1": "かいじょう"
      },
      "expansion": "階(かい)乘(じょう) • (kaijō)",
      "name": "ja-noun"
    }
  ],
  "lang": "Japanese",
  "lang_code": "ja",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        "Japanese entries with incorrect language header",
        "Japanese kyūjitai spellings",
        "Japanese lemmas",
        "Japanese links with redundant wikilinks",
        "Japanese nouns",
        "Japanese terms spelled with jinmeiyō kanji",
        "Japanese terms spelled with third grade kanji",
        "Japanese terms with 2 kanji",
        "Japanese terms with redundant sortkeys",
        "Pages with 4 entries",
        "Pages with entries"
      ],
      "form_of": [
        {
          "extra": "factorial",
          "word": "階乗"
        }
      ],
      "glosses": [
        "Kyūjitai form of 階乗 (factorial)"
      ],
      "links": [
        [
          "Kyūjitai",
          "kyūjitai"
        ],
        [
          "階乗",
          "階乗#Japanese"
        ],
        [
          "factorial",
          "factorial"
        ]
      ],
      "tags": [
        "form-of",
        "kyūjitai"
      ]
    }
  ],
  "word": "階乘"
}

{
  "forms": [
    {
      "form": "gyeseung",
      "tags": [
        "romanization"
      ]
    },
    {
      "form": "kyesŭng",
      "tags": [
        "McCune-Reischauer",
        "romanization"
      ]
    },
    {
      "form": "kyeysung",
      "tags": [
        "Yale",
        "romanization"
      ]
    },
    {
      "form": "계승",
      "tags": [
        "hangeul"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {
        "hangeul": "계승",
        "mr": "kyesŭng",
        "y": "kyeysung"
      },
      "expansion": "階乘 • (gyeseung or McCune-Reischauer: kyesŭng or Yale: kyeysung) (hangeul 계승)",
      "name": "ko-noun"
    }
  ],
  "lang": "Korean",
  "lang_code": "ko",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        "Korean entries with incorrect language header",
        "Korean hanja forms",
        "Korean lemmas",
        "Korean nouns",
        "Korean nouns in Han script",
        "Korean terms with non-redundant non-automated sortkeys",
        "Korean terms with redundant script codes",
        "Pages with 4 entries",
        "Pages with entries"
      ],
      "form_of": [
        {
          "extra": "factorial",
          "word": "계승"
        }
      ],
      "glosses": [
        "hanja form of 계승 (“factorial”)"
      ],
      "links": [
        [
          "hanja",
          "hanja#English"
        ],
        [
          "계승",
          "계승#Korean"
        ],
        [
          "factorial",
          "factorial"
        ]
      ],
      "tags": [
        "form-of",
        "hanja"
      ]
    }
  ],
  "word": "階乘"
}

{
  "head_templates": [
    {
      "args": {
        "1": "vi",
        "2": "noun",
        "3": "",
        "4": "",
        "head": "",
        "tr": ""
      },
      "expansion": "階乘",
      "name": "head"
    },
    {
      "args": {
        "sc": "Hani"
      },
      "expansion": "階乘",
      "name": "vi-noun"
    }
  ],
  "lang": "Vietnamese",
  "lang_code": "vi",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        "Pages with 4 entries",
        "Pages with entries",
        "Vietnamese Chữ Hán",
        "Vietnamese entries with incorrect language header",
        "Vietnamese lemmas",
        "Vietnamese nouns",
        "Vietnamese nouns in Han script"
      ],
      "glosses": [
        "chữ Hán form of giai thừa (“factorial”)."
      ],
      "links": [
        [
          "chữ Hán",
          "chữ Hán#Vietnamese"
        ],
        [
          "giai thừa",
          "giai thừa#Vietnamese"
        ],
        [
          "factorial",
          "factorial"
        ]
      ]
    }
  ],
  "word": "階乘"
}

Download raw JSONL data for 階乘 meaning in All languages combined (4.7kB)

{
  "called_from": "pronunciations/296/20230324",
  "msg": "Zh-pron header not found in zh_pron_tags or tags: '(Standard Chinese)⁺'",
  "path": [
    "階乘"
  ],
  "section": "Chinese",
  "subsection": "",
  "title": "階乘",
  "trace": ""
}

{
  "called_from": "pronunciations/296/20230324",
  "msg": "Zh-pron header not found in zh_pron_tags or tags: '(Standard Cantonese, Guangzhou–Hong Kong)⁺'",
  "path": [
    "階乘"
  ],
  "section": "Chinese",
  "subsection": "",
  "title": "階乘",
  "trace": ""
}

{
  "called_from": "parser/1336",
  "msg": "no corresponding start tag found for </span>",
  "path": [
    "階乘"
  ],
  "section": "Japanese",
  "subsection": "noun",
  "title": "階乘",
  "trace": ""
}

This page is a part of the kaikki.org machine-readable All languages combined dictionary. This dictionary is based on structured data extracted on 2024-12-21 from the enwiktionary dump dated 2024-12-04 using wiktextract (d8cb2f3 and 4e554ae). 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.