UVoodoo noma uJuju? Isimo Semfihlakalo seFibonacci
Njengabalandeli bamahlelo enkolo kukhona abahwebi nabahlaziyi abazinikele ngokuphelele emibonweni yabo ngezinkomba noma amaphethini athile. Kukhona 'inkomba' eyodwa, kungakhathaliseki ukuthi inekhono kangakanani, ikwazi ukuthwebula umcabango wakho kakhulu kunaleyo eyasungulwa ngasekupheleni kwekhulu lamashumi amabili ochwepheshe bezibalo nezibalo abahlonishwayo. Le nkomba iveza amadethi angaphambili, ngamanye amajini amakhulu, noma yini esesiyamukele njengemakethe yezimali yesimanje. Ukusho ukuthi akekho owaziyo ukuthi kungani ngempela i-Fibonacci retracement 'isebenza' ngempela ekuhwebeni kuwukubukela phansi okukhulu futhi uma uvuma ukuthi usebenzisa i-Fib ekuhwebeni kwakho uvame ukuhlangana nenhlanganisela yokungabaza nokudideka.
Kunezinkolelo ukuthi empeleni 'amaFibs' asebenza kuphela njengesiprofetho esizigcwalisayo; ngoba asetshenziswa kakhulu futhi ahlotshaniswa eduze nokusekelwa kanye nokumelana okubanikeza unqenqema. Kodwa kunomunye umbono wokuthi kungani i-Fibs isebenza futhi 'iyi-trippy' kancane, ihlobene nokuvela kabusha kwezinombolo ze-Fibonacci nokulandelana kwemvelo. Abahlaziyi abaningi nabahwebi bazokhomba ku-Fib, bakhombe ukungahleleki kwezimakethe, amathuba angapheli okuthi inani lingaya kunoma iyiphi indlela nganoma yisiphi isikhathi futhi bazibuze ukuthi empeleni akukho yini ukwazi okukhona emhlabeni wonke okudlalwayo.
Ukulandelana kwe-Fibonacci kuvela kuzilungiselelo eziningi zebhayoloji. Ngokwesibonelo, ezinombolweni ezimbili ezilandelanayo ze-Fibonacci, njengegatsha lezihlahla, ukuhlelwa kwamaqabunga esiqwini, izithelo zikaphayinaphu, ukuqhakaza kwe-artichoke, i-fern engagobile kanye nokuhlelwa kwe-pine cone. Izinombolo ze-Fibonacci nazo zitholakala esihlahleni somndeni wezinyosi, ngokusho 'kwemithetho' elandelayo; uma iqanda libekwe owesifazane ongaganiwe, lichanyuselwa iduna noma i-drone bee. Nokho, uma iqanda lavundiswa owesilisa, lichanyuselwa insikazi. Ngakho, inyosi yesilisa iyohlala inomzali oyedwa, futhi inyosi yesifazane iyoba nababili. Uma kulandelwa inzalo yanoma iyiphi inyosi yesilisa, unomzali ongu-1, ogogo nomkhulu abangu-2, okhokho abangu-3, okhokho-omkhulu abangu-5, njalonjalo. Lokhu kulandelana kwezinombolo zabazali ukulandelana kwe-Fibonacci.
Awuqinisekiswa yizinyosi? Bese-ke sisebenzise ezinye izibonelo ezimbili ukukhombisa isici esithi 'wow'. Ama-sunflowers nama-fern.
Ubhekilanga uyisibonelo esiphelele sokulandelana kwe-Fibonacci kanye "nesilinganiso segolide" esihambisanayo esivela emvelweni. Ama-florets ahlelwe ngephethini eyisiyingi kokubili ngendlela yewashi nephambene newashi. Kukhona ama-spiral angu-34 ajika ngokulandela iwashi kanye nama-spiral angu-21 ajika ngokuphambene newashi. Ama-spiral aphikisana newashi abonakala ekhula ngokwesilinganiso segolide. Isilinganiso salokhu ukuthi iradiyasi yokuzungeza iphinda kabili ngakho konke ukuzungezisa okungu-90°.
Ukukhula okujikelezayo kwenzeka eziqwini nasemagatsheni ezitshalo. Ama-Fern ayeyisitshalo sokuqala esisezweni ukusebenzisa izakhiwo zemithambo. Igatsha le-fern lisebenzisa iphethini yokukhula kwe-fractal, igatsha ngalinye elincane lifana nekhophi yalo lonke. Amagatsha e-Fern awanawo ukukhula okuvunguzayo, kodwa igatsha elikhula esiqwini se-fern linawo.
ULeonardo Fibonacci
ULeonardo Fibonacci, ovame ukubizwa ngokuthi uFibonacci, wayehlala kusukela ngo-1170-1250. Wayeyisazi sezibalo sase-Italy, esibhekwa "njengesazi sezibalo sasentshonalanga esinekhono kakhulu seNkathi Ephakathi." UFibonacci waziwa kakhulu ngokusabalalisa uhlelo lwezinombolo zamaHindu-Arabic eYurophu ngokushicilelwa ngasekuqaleni kwekhulu le-13 lencwadi yakhe ethi Book of Calculation, the Liber Abaci; kanye nokulandelana kwenombolo okuqanjwe ngaye okwaziwa njengezinombolo ze-Fibonacci, angazange azithole, kodwa wasebenzisa njengesibonelo ku-Liber Abaci.
Ku-Liber Abaci (1202), uFibonacci wethula i-modus Indorum (indlela yamaNdiya), namuhla eyaziwa ngokuthi izinombolo zesi-Arabhu. Incwadi ikhuthaza ukubala ngamadijithi 0–9 kanye nenani lendawo. Le ncwadi yabonisa ukusetshenziswa okungokoqobo kohlelo olusha lwezinombolo; kusetshenziswa ukuphindaphinda kwe-lattice kanye nezingxenye ze-Egypt, ukuyisebenzisela ukugcinwa kwamabhuku ezentengiselwano, ukuguqula izisindo nezilinganiso, ukubala inzalo, ukuguqula imali, nezinye izinhlelo zokusebenza. Le ncwadi yayihlonishwa kakhulu kulo lonke elaseYurophu efundile futhi yaba nomthelela omkhulu ekuguquleni umcabango nokwazi kwabantu baseYurophu.
I-Liber Abaci iveze futhi yaxazulula inkinga ebandakanya ukukhula kwenani lonogwaja ngokusekelwe ekuqageleni okuhle. Isixazululo, isizukulwane ngesizukulwane, kwakuwukulandelana kwezinombolo kamuva okwaziwa ngokuthi izinombolo ze-Fibonacci. Ukulandelana kwezinombolo kwakwaziwa izazi zezibalo zaseNdiya kusukela ngekhulu lesi-6, kodwa yi-Liber Abaci kaFibonacci eyayethula emazweni aseNtshonalanga.
Ngokulandelana kwezinombolo ze-Fibonacci, inombolo ngayinye iyisamba sezinombolo ezimbili zangaphambilini, ziqala ngo-0 no-1. Lokhu kulandelana kuqala 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89 , 144, 233, 377, 610, 987. Ukuphakama okuphezulu ngokulandelana, "izinombolo ze-Fibonacci" ezimbili ezilandelanayo zokulandelana ezihlukaniswe ngomunye zizosondela kusilinganiso segolide (cishe 1 : 1.618 noma 0.618 : 1).
Ukusebenzisa i-Fibonacci ukuze Uhwebe
Ukubuyiselwa kwe-Fibonacci kuyindlela yokuhlaziya yobuchwepheshe yokunquma amazinga okusekela kanye nokumelana. Baqanjwe ngemuva kokusebenzisa kwabo ukulandelana kwe-Fibonacci. Ukubuyiselwa kwe-Fibonacci kusekelwe embonweni olula wokuthi izimakethe cishe zizophinde zilandele ingxenye ebikezelwe yomnyakazo, ngemva kwalokho zizoqhubeka nokuhamba ziye ohlangothini lwasekuqaleni.
Ukubuyiselwa kwe-Fibonacci kudalwe ngokuthatha amaphuzu amabili adlulele eshadini nokuhlukanisa ibanga eliqondile ngezilinganiso eziyinhloko ze-Fibonacci. U-0.0% uthathwa njengesiqalo sokubuyisela emuva, kuyilapho u-100.0% uwukuguqulwa okuphelele engxenyeni yokuqala yomnyakazo. Uma la mazinga esehlonziwe, dwetshwa imigqa evundlile futhi isetshenziselwe ukuhlonza amazinga okusekela nokumelana okungenzeka. Lawa mazinga e-S&P ahlobene nokubuyiswayo okungu-61.8% 38.2% 23.6%.
Inani livame ukuhlehla, noma lilandele iphesenti lomnyakazo odlule ngaphambi kokuhlehla. Ukubuyiselwa kwe-Fibonacci kuvame ukwenzeka emazingeni amane: 23.6%, 38.2%, 50%, kanye 61.8%. Empeleni, izinga lama-50% alinabo ubudlelwano ne-Fibonacci, abahwebi basebenzisa leli zinga ngenxa yokuthambekela kwentengo ukuhlehla ngemva kokulandelela cishe uhhafu womnyakazo odlule. Uma udweba igridi yefib eshadini, uzoqaphela ukuthi igridi ihambisana cishe nezindawo zokusekela kanye nokumelana. Ngakho-ke awudingi ukudweba imigqa ye-S&R. Kunalokho, ungavele ubheke ishadi bese ulinganisela ukuthi akuphi amaleveli.
Kunodaba olulodwa oluyisihluthulelo nge-Fibonacci elwenza lusebenziseke kakhulu ekushintsheni nasekuhwebeni kwezikhundla esikhundleni sokuhweba nge-intraday. Ezimakethe ezihambayo ngokushesha (ukusebenza ngozimele wesikhathi esiphansi) kunzima kakhulu ukukhetha phezulu naphansi komnyakazo wakamuva, kodwa ekuhwebeni ngokushwibeka kuqonde phambili uma kuqhathaniswa namaphakheji amaningi okushadi 'azokubhalela ngokuzenzakalelayo' i-Fib. Njengazo zonke izinkomba, naphezu 'kokukhanga' kwayo kusetshenziswa i-Fib kusadinga ukuphathwa kahle kwemali nokuziphatha okufanele ukuze isebenze. Akudingekile ukuthi ujule lokho uma uyisebenzisa, kodwa ukucabanga okujulile yikhona okudale ukuthi kutholwe ukulandelana kwe-Fibonacci, futhi abekho abadayisi abake bahluleka ngokusebenzisa ilukuluku elijulile nelokuhlakanipha ekuhwebeni kwabo.
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