See eigenvector in All languages combined, or Wiktionary
{ "categories": [ { "kind": "other", "name": "Angielski (indeks)", "orig": "angielski (indeks)", "parents": [], "source": "w" } ], "etymology_texts": [ "niem. eigen \"własny\" + ang. vector \"wektor\"" ], "lang": "język angielski", "lang_code": "en", "pos": "noun", "pos_text": "rzeczownik", "senses": [ { "examples": [ { "text": "This means that there exists a row-vector v=(v_1,…,v_n) and a column-vector w=(w_1,…,w_n)ᵗ with positive entries v_i>0,w_i>0 such that vA=rv,Aw=rw. The vector v (resp. w) is then called a left (resp. right) eigenvector associated with r.", "translation": "Oznacza to, że istnieją wektor wierszowy v=(v_1,…,v_n) i wektor kolumnowy w=(w_1,…,w_n)ᵗ z wartościami dodatnimi v_i>0,w_i>0 takie, że vA=rv,Aw=rw. Wektor v (odpowiednio: w) jest wtedy nazywany lewym (odpowiednio: prawym) wektorem własnym związanym z r." } ], "glosses": [ "wektor własny" ], "id": "pl-eigenvector-en-noun-G4ULXTMR", "sense_index": "1.1", "topics": [ "mathematics" ] } ], "sounds": [ { "audio": "En-us-eigenvector.ogg", "mp3_url": "https://upload.wikimedia.org/wikipedia/commons/transcoded/e/e8/En-us-eigenvector.ogg/En-us-eigenvector.ogg.mp3", "ogg_url": "https://commons.wikimedia.org/wiki/Special:FilePath/En-us-eigenvector.ogg" }, { "audio": "De-eigenvector.ogg", "mp3_url": "https://upload.wikimedia.org/wikipedia/commons/transcoded/3/36/De-eigenvector.ogg/De-eigenvector.ogg.mp3", "ogg_url": "https://commons.wikimedia.org/wiki/Special:FilePath/De-eigenvector.ogg" } ], "word": "eigenvector" }
{ "categories": [ "angielski (indeks)" ], "etymology_texts": [ "niem. eigen \"własny\" + ang. vector \"wektor\"" ], "lang": "język angielski", "lang_code": "en", "pos": "noun", "pos_text": "rzeczownik", "senses": [ { "examples": [ { "text": "This means that there exists a row-vector v=(v_1,…,v_n) and a column-vector w=(w_1,…,w_n)ᵗ with positive entries v_i>0,w_i>0 such that vA=rv,Aw=rw. The vector v (resp. w) is then called a left (resp. right) eigenvector associated with r.", "translation": "Oznacza to, że istnieją wektor wierszowy v=(v_1,…,v_n) i wektor kolumnowy w=(w_1,…,w_n)ᵗ z wartościami dodatnimi v_i>0,w_i>0 takie, że vA=rv,Aw=rw. Wektor v (odpowiednio: w) jest wtedy nazywany lewym (odpowiednio: prawym) wektorem własnym związanym z r." } ], "glosses": [ "wektor własny" ], "sense_index": "1.1", "topics": [ "mathematics" ] } ], "sounds": [ { "audio": "En-us-eigenvector.ogg", "mp3_url": "https://upload.wikimedia.org/wikipedia/commons/transcoded/e/e8/En-us-eigenvector.ogg/En-us-eigenvector.ogg.mp3", "ogg_url": "https://commons.wikimedia.org/wiki/Special:FilePath/En-us-eigenvector.ogg" }, { "audio": "De-eigenvector.ogg", "mp3_url": "https://upload.wikimedia.org/wikipedia/commons/transcoded/3/36/De-eigenvector.ogg/De-eigenvector.ogg.mp3", "ogg_url": "https://commons.wikimedia.org/wiki/Special:FilePath/De-eigenvector.ogg" } ], "word": "eigenvector" }
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This page is a part of the kaikki.org machine-readable język angielski dictionary. This dictionary is based on structured data extracted on 2025-02-06 from the plwiktionary dump dated 2025-02-02 using wiktextract (0ee4b87 and 9dbd323). 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.