"Stirling number of the second kind" meaning in English

{
  "forms": [
    {
      "form": "Stirling numbers of the second kind",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {
        "1": "Stirling numbers of the second kind"
      },
      "expansion": "Stirling number of the second kind (plural Stirling numbers of the second kind)",
      "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"
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          "source": "w"
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        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Mathematics",
          "orig": "en:Mathematics",
          "parents": [
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "glosses": [
        "The number of ways to partition a set of n objects into k non-empty subsets, denoted by S(n,k)."
      ],
      "id": "en-Stirling_number_of_the_second_kind-en-noun-aY9nvOKK",
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "partition",
          "partition"
        ],
        [
          "set",
          "set"
        ],
        [
          "subset",
          "subset"
        ]
      ],
      "raw_glosses": [
        "(mathematics) The number of ways to partition a set of n objects into k non-empty subsets, denoted by S(n,k)."
      ],
      "synonyms": [
        {
          "word": "Stirling partition number"
        }
      ],
      "topics": [
        "mathematics",
        "sciences"
      ],
      "translations": [
        {
          "code": "fi",
          "lang": "Finnish",
          "sense": "Translations",
          "word": "toisen lajin Stirlingin luku"
        },
        {
          "code": "fi",
          "lang": "Finnish",
          "sense": "Translations",
          "word": "Stirlingin toinen luku"
        },
        {
          "code": "de",
          "lang": "German",
          "sense": "Translations",
          "tags": [
            "feminine"
          ],
          "word": "Stirling-Zahl zweiter Art"
        },
        {
          "code": "pl",
          "lang": "Polish",
          "sense": "Translations",
          "tags": [
            "feminine"
          ],
          "word": "liczba Stirlinga II rodzaju"
        }
      ]
    }
  ],
  "word": "Stirling number of the second kind"
}

{
  "forms": [
    {
      "form": "Stirling numbers of the second kind",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {
        "1": "Stirling numbers of the second kind"
      },
      "expansion": "Stirling number of the second kind (plural Stirling numbers of the second kind)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
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        "English countable nouns",
        "English entries with incorrect language header",
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        "English nouns",
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        "Translation table header lacks gloss",
        "en:Mathematics"
      ],
      "glosses": [
        "The number of ways to partition a set of n objects into k non-empty subsets, denoted by S(n,k)."
      ],
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "partition",
          "partition"
        ],
        [
          "set",
          "set"
        ],
        [
          "subset",
          "subset"
        ]
      ],
      "raw_glosses": [
        "(mathematics) The number of ways to partition a set of n objects into k non-empty subsets, denoted by S(n,k)."
      ],
      "synonyms": [
        {
          "word": "Stirling partition number"
        }
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    }
  ],
  "translations": [
    {
      "code": "fi",
      "lang": "Finnish",
      "sense": "Translations",
      "word": "toisen lajin Stirlingin luku"
    },
    {
      "code": "fi",
      "lang": "Finnish",
      "sense": "Translations",
      "word": "Stirlingin toinen luku"
    },
    {
      "code": "de",
      "lang": "German",
      "sense": "Translations",
      "tags": [
        "feminine"
      ],
      "word": "Stirling-Zahl zweiter Art"
    },
    {
      "code": "pl",
      "lang": "Polish",
      "sense": "Translations",
      "tags": [
        "feminine"
      ],
      "word": "liczba Stirlinga II rodzaju"
    }
  ],
  "word": "Stirling number of the second kind"
}