(original) (raw)

{"entities":{"Q833480":{"pageid":786163,"ns":0,"title":"Q833480","lastrevid":2160983111,"modified":"2024-05-21T17:28:41Z","type":"item","id":"Q833480","labels":{"hu":{"language":"hu","value":"Binomi\u00e1lis sor"},"de":{"language":"de","value":"binomische Reihe"},"en":{"language":"en","value":"binomial series"},"sl":{"language":"sl","value":"binomska vrsta"},"ar":{"language":"ar","value":"\u0645\u062a\u0633\u0644\u0633\u0644\u0629 \u0630\u0627\u062a \u062d\u062f\u064a\u0646"},"ro":{"language":"ro","value":"Serie binomial\u0103"},"en-ca":{"language":"en-ca","value":"Binomial series"},"en-gb":{"language":"en-gb","value":"Binomial series"},"ko":{"language":"ko","value":"\uc774\ud56d \uae09\uc218"},"pt":{"language":"pt","value":"S\u00e9rie binomial"},"he":{"language":"he","value":"\u05d4\u05d1\u05d9\u05e0\u05d5\u05dd \u05e9\u05dc \u05e0\u05d9\u05d5\u05d8\u05d5\u05df"},"fr":{"language":"fr","value":"formule du bin\u00f4me g\u00e9n\u00e9ralis\u00e9e"},"ja":{"language":"ja","value":"\u4e8c\u9805\u7d1a\u6570"},"yue":{"language":"yue","value":"\u4e8c\u9805\u5c55\u958b\u5f0f"},"ru":{"language":"ru","value":"\u0431\u0438\u043d\u043e\u043c\u0438\u0430\u043b\u044c\u043d\u044b\u0439 \u0440\u044f\u0434"},"bs":{"language":"bs","value":"Binomni red"},"fi":{"language":"fi","value":"binomisarja"},"fa":{"language":"fa","value":"\u0633\u0631\u06cc \u062f\u0648 \u062c\u0645\u0644\u0647\u200c\u0627\u06cc"},"es":{"language":"es","value":"serie binomial"},"uk":{"language":"uk","value":"\u0411\u0456\u043d\u043e\u043c\u0456\u0430\u043b\u044c\u043d\u0438\u0439 \u0440\u044f\u0434"},"sq":{"language":"sq","value":"serite binomiale"}},"descriptions":{"de":{"language":"de","value":"Potenzreihe, die im binomischen Lehrsatz f\u00fcr komplexe Zahlen auftaucht"},"en":{"language":"en","value":"Taylor series"},"ar":{"language":"ar","value":"\u0645\u062a\u0633\u0644\u0633\u0644\u0629 \u062a\u0627\u064a\u0644\u0648\u0631 \u0644\u0650\u0630\u064a \u0627\u0644\u062d\u062f\u064a\u0646"},"es":{"language":"es","value":"serie de Taylor"},"ja":{"language":"ja","value":"\u4e8c\u9805\u5f0f\u306e\u51aa\u306e\u30de\u30af\u30ed\u30fc\u30ea\u30f3\u7d1a\u6570"},"sq":{"language":"sq","value":"telor serte"}},"aliases":{"de":[{"language":"de","value":"Binomialreihe"}],"ja":[{"language":"ja","value":"\u30cb\u30e5\u30fc\u30c8\u30f3\u306e\u4e00\u822c\u4e8c\u9805\u5b9a\u7406"}],"es":[{"language":"es","value":"serie binomial de Newton"}]},"claims":{"P646":[{"mainsnak":{"snaktype":"value","property":"P646","hash":"eb1dde4a83f8c8b360a5cde0d7a90217b24f7fae","datavalue":{"value":"/m/033ksm","type":"string"},"datatype":"external-id"},"type":"statement","id":"Q833480$65AEEBD6-B3F9-42D5-8580-8DBBFBCE9477","rank":"normal","references":[{"hash":"2b00cb481cddcac7623114367489b5c194901c4a","snaks":{"P248":[{"snaktype":"value","property":"P248","hash":"a94b740202b097dd33355e0e6c00e54b9395e5e0","datavalue":{"value":{"entity-type":"item","numeric-id":15241312,"id":"Q15241312"},"type":"wikibase-entityid"},"datatype":"wikibase-item"}],"P577":[{"snaktype":"value","property":"P577","hash":"fde79ecb015112d2f29229ccc1ec514ed3e71fa2","datavalue":{"value":{"time":"+2013-10-28T00:00:00Z","timezone":0,"before":0,"after":0,"precision":11,"calendarmodel":"http://www.wikidata.org/entity/Q1985727"},"type":"time"},"datatype":"time"}\]},"snaks-order":\["P248","P577"\]}\]}\],"P2534":\[{"mainsnak":{"snaktype":"value","property":"P2534","hash":"e7f6e87ea69e60e9bbabe21c131d7cbf1c08e4c0","datavalue":{"value":"(1 + x)^\\alpha = \\sum_{k=0}^{\\infty} \\; {\\alpha \\choose k} \\; x^k = 1 + \\alpha x + \\frac{\\alpha(\\alpha-1)}{2!} x^2 + \\cdots","type":"string"},"datatype":"math"},"type":"statement","id":"Q833480$3D8D8E99-A979-47C9-93AF-BDE358DA6E9D","rank":"normal","references":[{"hash":"fa278ebfc458360e5aed63d5058cca83c46134f1","snaks":{"P143":[{"snaktype":"value","property":"P143","hash":"e4f6d9441d0600513c4533c672b5ab472dc73694","datavalue":{"value":{"entity-type":"item","numeric-id":328,"id":"Q328"},"type":"wikibase-entityid"},"datatype":"wikibase-item"}]},"snaks-order":["P143"]}]}],"P31":[{"mainsnak":{"snaktype":"value","property":"P31","hash":"3c7df090494a3e65b24cb9771a7d8bfc8a529c14","datavalue":{"value":{"entity-type":"item","numeric-id":170198,"id":"Q170198"},"type":"wikibase-entityid"},"datatype":"wikibase-item"},"type":"statement","id":"Q833480$38f7cb34-4243-a5cd-a8a4-86f61cd9d70c","rank":"normal"}],"P2812":[{"mainsnak":{"snaktype":"value","property":"P2812","hash":"fd12105429acfd034522d077b677f65c39f27f65","datavalue":{"value":"BinomialSeries","type":"string"},"datatype":"external-id"},"type":"statement","id":"Q833480$26869EFE-A22E-42E7-B57F-BE681BFAD23E","rank":"normal","references":[{"hash":"a29a646602abf65105ed0f39a44231c962ece9ee","snaks":{"P143":[{"snaktype":"value","property":"P143","hash":"c6f1777471211df31724ac60175786f3872c83e9","datavalue":{"value":{"entity-type":"item","numeric-id":177837,"id":"Q177837"},"type":"wikibase-entityid"},"datatype":"wikibase-item"}]},"snaks-order":["P143"]}]}],"P279":[{"mainsnak":{"snaktype":"value","property":"P279","hash":"d0b32a51ba8c67a99292d21f0fd7b1845876e705","datavalue":{"value":{"entity-type":"item","numeric-id":170198,"id":"Q170198"},"type":"wikibase-entityid"},"datatype":"wikibase-item"},"type":"statement","id":"Q833480$cfcfc9cc-48ea-b121-ab16-92a67d548306","rank":"normal"}],"P6366":[{"mainsnak":{"snaktype":"value","property":"P6366","hash":"a1f3f413ab2d4b91fedeaf3e2bda2353749386dd","datavalue":{"value":"200860826","type":"string"},"datatype":"external-id"},"type":"statement","id":"Q833480$A32EAB90-C470-41CF-B85C-7200864F3970","rank":"normal"}],"P11514":[{"mainsnak":{"snaktype":"value","property":"P11514","hash":"f9d937d4399f41e3a56d84084f6cc155c91fd82f","datavalue":{"value":"binomial-nyi-riad-5ca217","type":"string"},"datatype":"external-id"},"type":"statement","id":"Q833480$5E02A989-2984-43FA-AA35-214AA10F962A","rank":"normal"}],"P6104":[{"mainsnak":{"snaktype":"value","property":"P6104","hash":"a27c5fdb35b42381f12b2a603711e56d98dd77fd","datavalue":{"value":{"entity-type":"item","numeric-id":8487137,"id":"Q8487137"},"type":"wikibase-entityid"},"datatype":"wikibase-item"},"type":"statement","id":"Q833480$DA436162-7946-4CCB-B7B1-9265D5D7B8D4","rank":"normal"}]},"sitelinks":{"arwiki":{"site":"arwiki","title":"\u0645\u062a\u0633\u0644\u0633\u0644\u0629 \u0630\u0627\u062a \u062d\u062f\u064a\u0646","badges":[],"url":"https://ar.wikipedia.org/wiki/%D9%85%D8%AA%D8%B3%D9%84%D8%B3%D9%84%D8%A9\_%D8%B0%D8%A7%D8%AA\_%D8%AD%D8%AF%D9%8A%D9%86"},"bswiki":{"site":"bswiki","title":"Binomni red","badges":[],"url":"https://bs.wikipedia.org/wiki/Binomni\_red"},"dewiki":{"site":"dewiki","title":"Binomische Reihe","badges":[],"url":"https://de.wikipedia.org/wiki/Binomische\_Reihe"},"enwiki":{"site":"enwiki","title":"Binomial series","badges":[],"url":"https://en.wikipedia.org/wiki/Binomial\_series"},"eswiki":{"site":"eswiki","title":"Serie binomial","badges":[],"url":"https://es.wikipedia.org/wiki/Serie\_binomial"},"fawiki":{"site":"fawiki","title":"\\u0633\\u0631\\u06cc \u062f\u0648 \u062c\u0645\u0644\u0647\u200c\u0627\u06cc","badges":[],"url":"https://fa.wikipedia.org/wiki/%D8%B3%D8%B1%DB%8C\_%D8%AF%D9%88\_%D8%AC%D9%85%D9%84%D9%87%E2%80%8C%D8%A7%DB%8C"},"fiwiki":{"site":"fiwiki","title":"Binomisarja","badges":\[\],"url":"https://fi.wikipedia.org/wiki/Binomisarja"},"frwiki":{"site":"frwiki","title":"Formule du bin\u00f4me g\u00e9n\u00e9ralis\u00e9e","badges":[],"url":"https://fr.wikipedia.org/wiki/Formule\_du\_bin%C3%B4me\_g%C3%A9n%C3%A9ralis%C3%A9e"},"huwiki":{"site":"huwiki","title":"Binomi\\u00e1lis sor","badges":[],"url":"https://hu.wikipedia.org/wiki/Binomi%C3%A1lis\_sor"},"jawiki":{"site":"jawiki","title":"\\u4e8c\\u9805\\u7d1a\\u6570","badges":\[\],"url":"https://ja.wikipedia.org/wiki/%E4%BA%8C%E9%A0%85%E7%B4%9A%E6%95%B0"},"kowiki":{"site":"kowiki","title":"\\uc774\\ud56d \uae09\uc218","badges":[],"url":"https://ko.wikipedia.org/wiki/%EC%9D%B4%ED%95%AD\_%EA%B8%89%EC%88%98"},"ptwiki":{"site":"ptwiki","title":"S\\u00e9rie binomial","badges":[],"url":"https://pt.wikipedia.org/wiki/S%C3%A9rie\_binomial"},"rowiki":{"site":"rowiki","title":"Serie binomial\u0103","badges":[],"url":"https://ro.wikipedia.org/wiki/Serie\_binomial%C4%83"},"ruwiki":{"site":"ruwiki","title":"\\u0411\\u0438\\u043d\\u043e\\u043c\\u0438\\u0430\\u043b\\u044c\\u043d\\u044b\\u0439 \u0440\u044f\u0434","badges":[],"url":"https://ru.wikipedia.org/wiki/%D0%91%D0%B8%D0%BD%D0%BE%D0%BC%D0%B8%D0%B0%D0%BB%D1%8C%D0%BD%D1%8B%D0%B9\_%D1%80%D1%8F%D0%B4"},"slwiki":{"site":"slwiki","title":"Binomska vrsta","badges":[],"url":"https://sl.wikipedia.org/wiki/Binomska\_vrsta"},"ukwiki":{"site":"ukwiki","title":"\\u0411\\u0456\\u043d\\u043e\\u043c\\u0456\\u0430\\u043b\\u044c\\u043d\\u0438\\u0439 \u0440\u044f\u0434","badges":[],"url":"https://uk.wikipedia.org/wiki/%D0%91%D1%96%D0%BD%D0%BE%D0%BC%D1%96%D0%B0%D0%BB%D1%8C%D0%BD%D0%B8%D0%B9\_%D1%80%D1%8F%D0%B4"},"zh\_yuewiki":{"site":"zh\_yuewiki","title":"\\u4e8c\\u9805\\u5c55\\u958b\\u5f0f","badges":\[\],"url":"https://zh-yue.wikipedia.org/wiki/%E4%BA%8C%E9%A0%85%E5%B1%95%E9%96%8B%E5%BC%8F"}}}}}