rozwinięcie Laplace'a in język polski

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Forms: rozwinięcia Laplace'a [genitive, singular], rozwinięciu Laplace'a [dative, singular], rozwinięciem Laplace'a [instrumental, singular], rozwinięciu Laplace'a [locative, singular], rozwinięcia Laplace'a [nominative, plural], rozwinięć Laplace'a [genitive, plural], rozwinięciom Laplace'a [dative, plural], rozwinięcia Laplace'a [accusative, plural], rozwinięciami Laplace'a [instrumental, plural], rozwinięciach Laplace'a [locative, plural], rozwinięcia Laplace'a [vocative, plural]

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{
  "categories": [
    {
      "kind": "other",
      "name": "Polski (indeks)",
      "orig": "polski (indeks)",
      "parents": [],
      "source": "w"
    }
  ],
  "etymology_texts": [
    "od nazwiska francuskiego naukowca Pierre'a Simone'a de Laplace'a"
  ],
  "forms": [
    {
      "form": "rozwinięcia Laplace'a",
      "sense_index": "1.1",
      "tags": [
        "genitive",
        "singular"
      ]
    },
    {
      "form": "rozwinięciu Laplace'a",
      "sense_index": "1.1",
      "tags": [
        "dative",
        "singular"
      ]
    },
    {
      "form": "rozwinięciem Laplace'a",
      "sense_index": "1.1",
      "tags": [
        "instrumental",
        "singular"
      ]
    },
    {
      "form": "rozwinięciu Laplace'a",
      "sense_index": "1.1",
      "tags": [
        "locative",
        "singular"
      ]
    },
    {
      "form": "rozwinięcia Laplace'a",
      "sense_index": "1.1",
      "tags": [
        "nominative",
        "plural"
      ]
    },
    {
      "form": "rozwinięć Laplace'a",
      "sense_index": "1.1",
      "tags": [
        "genitive",
        "plural"
      ]
    },
    {
      "form": "rozwinięciom Laplace'a",
      "sense_index": "1.1",
      "tags": [
        "dative",
        "plural"
      ]
    },
    {
      "form": "rozwinięcia Laplace'a",
      "sense_index": "1.1",
      "tags": [
        "accusative",
        "plural"
      ]
    },
    {
      "form": "rozwinięciami Laplace'a",
      "sense_index": "1.1",
      "tags": [
        "instrumental",
        "plural"
      ]
    },
    {
      "form": "rozwinięciach Laplace'a",
      "sense_index": "1.1",
      "tags": [
        "locative",
        "plural"
      ]
    },
    {
      "form": "rozwinięcia Laplace'a",
      "sense_index": "1.1",
      "tags": [
        "vocative",
        "plural"
      ]
    }
  ],
  "lang": "język polski",
  "lang_code": "pl",
  "pos": "noun",
  "pos_text": "rzeczownikowa",
  "related": [
    {
      "sense_index": "1.1",
      "word": "zastosować rozwinięcie Laplace'a"
    },
    {
      "sense_index": "1.1",
      "word": "posługiwać się"
    },
    {
      "sense_index": "1.1",
      "word": "posłużyć się rozwinięciem Laplace'a"
    }
  ],
  "senses": [
    {
      "examples": [
        {
          "text": ", wyd. eigenspace.pl, Krzyszkowice 2018.."
        }
      ],
      "glosses": [
        "przedstawienie wyznacznika macierzy w postaci sumy iloczynów elementów jednego z wierszy lub kolumn tej macierzy i dopełnień algebraicznych tych elementów"
      ],
      "id": "pl-rozwinięcie_Laplace'a-pl-noun-Smw3ZcW~",
      "sense_index": "1.1",
      "topics": [
        "mathematics"
      ]
    }
  ],
  "tags": [
    "neuter"
  ],
  "translations": [
    {
      "lang": "angielski",
      "lang_code": "en",
      "sense_index": "1.1",
      "word": "Laplace expansion"
    }
  ],
  "word": "rozwinięcie Laplace'a"
}

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{
  "categories": [
    "polski (indeks)"
  ],
  "etymology_texts": [
    "od nazwiska francuskiego naukowca Pierre'a Simone'a de Laplace'a"
  ],
  "forms": [
    {
      "form": "rozwinięcia Laplace'a",
      "sense_index": "1.1",
      "tags": [
        "genitive",
        "singular"
      ]
    },
    {
      "form": "rozwinięciu Laplace'a",
      "sense_index": "1.1",
      "tags": [
        "dative",
        "singular"
      ]
    },
    {
      "form": "rozwinięciem Laplace'a",
      "sense_index": "1.1",
      "tags": [
        "instrumental",
        "singular"
      ]
    },
    {
      "form": "rozwinięciu Laplace'a",
      "sense_index": "1.1",
      "tags": [
        "locative",
        "singular"
      ]
    },
    {
      "form": "rozwinięcia Laplace'a",
      "sense_index": "1.1",
      "tags": [
        "nominative",
        "plural"
      ]
    },
    {
      "form": "rozwinięć Laplace'a",
      "sense_index": "1.1",
      "tags": [
        "genitive",
        "plural"
      ]
    },
    {
      "form": "rozwinięciom Laplace'a",
      "sense_index": "1.1",
      "tags": [
        "dative",
        "plural"
      ]
    },
    {
      "form": "rozwinięcia Laplace'a",
      "sense_index": "1.1",
      "tags": [
        "accusative",
        "plural"
      ]
    },
    {
      "form": "rozwinięciami Laplace'a",
      "sense_index": "1.1",
      "tags": [
        "instrumental",
        "plural"
      ]
    },
    {
      "form": "rozwinięciach Laplace'a",
      "sense_index": "1.1",
      "tags": [
        "locative",
        "plural"
      ]
    },
    {
      "form": "rozwinięcia Laplace'a",
      "sense_index": "1.1",
      "tags": [
        "vocative",
        "plural"
      ]
    }
  ],
  "lang": "język polski",
  "lang_code": "pl",
  "pos": "noun",
  "pos_text": "rzeczownikowa",
  "related": [
    {
      "sense_index": "1.1",
      "word": "zastosować rozwinięcie Laplace'a"
    },
    {
      "sense_index": "1.1",
      "word": "posługiwać się"
    },
    {
      "sense_index": "1.1",
      "word": "posłużyć się rozwinięciem Laplace'a"
    }
  ],
  "senses": [
    {
      "examples": [
        {
          "text": ", wyd. eigenspace.pl, Krzyszkowice 2018.."
        }
      ],
      "glosses": [
        "przedstawienie wyznacznika macierzy w postaci sumy iloczynów elementów jednego z wierszy lub kolumn tej macierzy i dopełnień algebraicznych tych elementów"
      ],
      "sense_index": "1.1",
      "topics": [
        "mathematics"
      ]
    }
  ],
  "tags": [
    "neuter"
  ],
  "translations": [
    {
      "lang": "angielski",
      "lang_code": "en",
      "sense_index": "1.1",
      "word": "Laplace expansion"
    }
  ],
  "word": "rozwinięcie Laplace'a"
}

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This page is a part of the kaikki.org machine-readable język polski dictionary. This dictionary is based on structured data extracted on 2025-01-18 from the plwiktionary dump dated 2025-01-01 using wiktextract (e4a2c88 and 4230888). 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.

"rozwinięcie Laplace'a" meaning in język polski

Noun