UkubunjwaIikholeji neeyunivesithi

Inombolo omlingo yaye kungakholeleki Fibonacci

amanani World kunye namanani ezinkulu ezahlukeneyo. Yena zizele zonke iintlobo izibakala umdla. Ngaphandle amanani kunye izibalo kangangeenkulungwane ezininzi, ayizange ukwenza ibutho labantu. Kukho zezibalo ezininzi obalaseleyo abanamakhono lowo wabeka intliziyo yakhe umphefumlo ibe nokuvulwa. Kubalulekile ukuba loo izazinzulu ngayo Leonardo Fibonacci. Sezibalo entsha esuka kwidolophu encinane Pisa lenze igalelo elikhulu kakhulu kwinzululwazi. Igama lakhe ukulandelelana amaxabiso zezibalo ngokuba "amanani Fibonacci". Kaloku sonke siyazi ukuba yonke into kweli hlabathi zendalo kwaye ngokulandelelana yayo.

Ngelo xesha uLeonardo wabhala "Book of abacus", nto leyo ichaza ngokweenkcukacha zonke obafunyanwa yayo. Kwasephakadeni kube yingxaki ezaziwayo-kakuhle malunga imivundla. Xa core yayo ngambini zezilwanyana, yaye omnye wabo unako kuzala, yaye owesibini - akukho. Ngoko ke, ukuqala abasisizukulwana sabo sesithathu, inani ilandelayo lwemivundla iya kulingana ukuba udibaniso onke amalungu amabini edlulileyo. Ngoko elandelayo yachongwa ngokulandelelana (inani Fibonacci):

1, 1, 2, 3, 5, 8, ... 610, 987, 1597, 2584 ... 39088169, 63245986, 102334155

Akukho ngaphantsi kwe ngamava umdla iba, kunye nokuqwalaselwa jiko ezahlukeneyo kusihlangabeza yonke, iinkanyamba kunye neenkanyamba, oojongilanga iimbewu, iikhowuni, amahlamvu emithini njalo Kubonakala ukuba kukho zokuzimela inani Fibonacci. Ukuba ukwakha uwele kwaye uwucandile ibe iingxande ezininzi zinamacala 144, 89, 55, kuye kucace ukuba icala ngalinye ilandelwa yi isafobe elilingana kwicala elidlulileyo. A ukulandelelana kwamanani ichazwa inombolo. Kodwa ukuba sisondela i arc, ngoko kunye zakha uwele kwi square nganye. kanye kwakhona Oku kungqina ukuba inani Fibonacci yinto nje omlingo.

Nakuba kunjalo, kufumaniseke ukuba lo ukulandelelana abantu osele nolwazi nge ngamaxesha amandulo. Kakade ke, sinako sicinge ukuba ingozi okanye ngengozi. Kodwa inyani: iiphiramidi of Giza zakhiwa kumgaqo Fibonacci. Ngenxa yoko, indawo ubuso nganye bephiramidi ilingana ukuphakama kwayo ophindwe kabini. Ke ukuba ubude kwikona bahlulwe ukuphakama kwalo isakhiwo emangalisayo, inani ajike ilingana 1,618. Oku eli xabiso ifunyenwe ukuba ixabiso ngalinye ezilandelelanayo kulandelelwano lahlulwe ezidlulileyo.

A igalelo elibalulekileyo zophando lwakhe ezenziwe Leonardo kuqoqosho. Ngoncedo lwe ukulandelelana kwamanani namhlanje abezoqoqosho abaninzi ukuchaza bayahlelwa stock exchange. Ukuze wenze oku, amanqanaba Fibonacci zaye zachongwa. Ngoku unako ukumisela inkxaso kunye nokumelana amanqanaba okanye ubungakanani yamaziko sasilungiswa ihamba impahla ngokuchanekileyo. Oko kukuthi amanani Fibonacci kukunceda ubone indlela eya nijike lo mkhuba, okanye ukubala amanqanaba retracement. Ukuqhubeka nentshukumo yokuqala kunye nexesha iphela xa zifunwaEzokugqibela zidweliselwe kwakhona ibalwe ngokungqinelana nolandelelwano eyaziwa.

Ngenxa yoko ke, amanani Fibonacci ingafunyanwa kwi yonke indawo. Ngapha koko, singqongwe zizityalo, ahamba kunye nezakhiwo umdla. Le ulandelelwano kwakhona kunceda kuqoqosho phantsi kolawulo uphuhliso kunye nokwakhiwa mkhuba. La manani kusinceda siqonde ukuba yonke into kweli hlabathi uzinzo kunye rhoqo.

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