{"id":131922,"date":"2016-03-21T15:34:27","date_gmt":"2016-03-21T15:34:27","guid":{"rendered":"https:\/\/bm.dev.synology.me\/?p=131922"},"modified":"2016-03-21T15:34:27","modified_gmt":"2016-03-21T15:34:27","slug":"cate-zecimale-ale-pi-foloseste-nasa","status":"publish","type":"post","link":"https:\/\/bm.dev.synology.me\/?p=131922","title":{"rendered":"C\u00e2te zecimale ale pi folose\u015fte NASA?"},"content":{"rendered":"<p>\nMatematicienii au calculat num\u0103rul pi p\u00e2n\u0103 la 13 trilioane de zecimale, o opera\u0163iune care a durat 208 zile. Marc Rayman de la NASA explic\u0103 faptul c\u0103 pentru a trimite probe \u00een spa\u0163iu, pe o traiectorie corect\u0103, agen\u0163ia american\u0103 are nevoie doar de primele 15 zecimale ale num\u0103rului pi, adic\u0103 de urm\u0103toarea form\u0103: 3.141592653589793.<\/p>\n<p>Explic\u0103m: \u00een momentul de fa\u0163\u0103, nava spa\u0163ial\u0103 cea mai \u00eendep\u0103rtat\u0103 de P\u0103m\u00e2nt este Voyager 1, aflate la 12,5 miliarde de mile distan\u0163\u0103. Lu\u00e2nd \u00een calcul un cerc cu raza de 12,5 miliarde de mile (sau un diametru de 25 miliarde de mile), pentru a calcula circumferin\u0163a trebuie s\u0103 \u00eenmul\u0163im aceast\u0103 raz\u0103 cu pi \u015fi apoi s\u0103 dubl\u0103m rezultatul. Rotunjind pi p\u00e2n\u0103 la a 15-a zecimal\u0103, rezultatul va fi de peste 78 miliarde de mile.<\/p>\n<p>Ceea ce ne intereseaz\u0103, \u00een acest moment, este marja de eroare generat\u0103 de faptul c\u0103 nu am folosit mai multe zecimale ale pi; iar aceasta, \u00een mod suprinz\u0103tor, este de doar 3,8 centimetri.<\/p>\n<p>A\u015fadar: la un rezultat pe peste 78 de miliarde de mile, eroarea ap\u0103rut\u0103 \u00een urma folosirii unui pi cu doar 15 zecimale este de sub 4 centimetri.<\/p>\n<p>\u00cen \u00eencheiere, pentru a \u00een\u0163elege c\u00e2t de inutil a fost opera\u0163iune de 208 zile a NASA: \u00een 1424, astronomul \u015fi matematicianul Jamshid al-Kashi a calculat pi p\u00e2n\u0103 la a 17-a zecimal\u0103.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Matematicienii au calculat num\u0103rul pi p\u00e2n\u0103 la 13 trilioane de zecimale, o opera\u0163iune care a durat 208 zile. Marc Rayman de la NASA explic\u0103 faptul c\u0103 pentru a trimite probe \u00een spa\u0163iu, pe o traiectorie corect\u0103, agen\u0163ia american\u0103 are nevoie doar de primele 15 zecimale ale num\u0103rului pi, adic\u0103 de urm\u0103toarea form\u0103: 3.141592653589793. Explic\u0103m: \u00een [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[510],"tags":[9646,10888,19551,30102,32766,334,161,347,21351,26564,21824,229,18484,80,16026,225,30047],"class_list":["post-131922","post","type-post","status-publish","format-standard","hentry","category-actualitate","tag-agentie","tag-americana","tag-eroare","tag-fata","tag-folosire","tag-incheiere","tag-miliarde","tag-nasa","tag-nava","tag-nevoie","tag-operatiune","tag-pamant","tag-probe","tag-refuz","tag-rezultat","tag-spatiu","tag-trimitere"],"_links":{"self":[{"href":"https:\/\/bm.dev.synology.me\/index.php?rest_route=\/wp\/v2\/posts\/131922","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/bm.dev.synology.me\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/bm.dev.synology.me\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/bm.dev.synology.me\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/bm.dev.synology.me\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=131922"}],"version-history":[{"count":0,"href":"https:\/\/bm.dev.synology.me\/index.php?rest_route=\/wp\/v2\/posts\/131922\/revisions"}],"wp:attachment":[{"href":"https:\/\/bm.dev.synology.me\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=131922"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/bm.dev.synology.me\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=131922"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/bm.dev.synology.me\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=131922"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}