"階乘" meaning in 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": "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"
}

{
  "derived": [
    {
      "roman": "shuāngjiēchéng",
      "word": "雙階乘"
    },
    {
      "roman": "shuāngjiēchéng",
      "word": "双阶乘"
    }
  ],
  "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 with IPA pronunciation",
        "Mandarin lemmas",
        "Mandarin nouns",
        "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"
}