Voodoo kana Juju? Iyo Chakavanzika Chakavanzika cheFibonacci
Sevateveri vezvitendero zvevanamati vezvitendero pane vatengesi nevanoongorora vakazvipira zvachose kune maonero avo pane zvimwe zviratidzo kana mapatani. Kune imwe 'chiratidzo' iyo, zvisinei nehunyanzvi hwayo, inokwanisa kutora fungidziro yako zvakanyanya kupfuura izvo zvakagadzirwa mukupera kwezana ramakumi maviri nevatanhatu vanoremekedzwa vemasvomhu nevanoverengeka. Ichi chiratidzo chakatarisana nemazuva, neimwe nhanho yakati rebei, chero chinhu chatakauya kuzogamuchira semusika wemazuva ano wezvemari. Kuti utaure kuti hapana anonyatsoziva kuti sei kana sei Fibonacci kudzoreredza 'inoshanda' mukutengesa chinhu chikuru uye kana iwe uchibvuma kushandisa Fib mukutengesa kwako unowanzosangana nemubatanidzwa wekusahadzika uye kushamisika.
Kune zvitendero zvekuti muchokwadi 'maFibs' anongoshanda sechiporofita chinozvizadzisa; nekuti iwo anoshandiswa zvakanyanya uye anowirirana padhuze kutsigira uye kuramba izvo zvinovapa iwo mupendero. Asi pane imwe dzidziso yekuti nei maFibs achishanda uye iri diki 'trippy', rine chekuita nekuitwazve kwenhamba dzeFibonacci uye kuteedzana mune zvakasikwa. Vazhinji vaongorori nevatengesi vanonongedzera kuna Fib, vanongedzera kusarongeka kwemisika, mikana isinga peri iyo mutengo unogona kufamba munzira ipi neipi chero nguva yakatarwa uye kushamisika kana pasina chaiko kuziva kwepasirese kuri kutamba.
Kurongeka kweFibonacci kunoonekwa munzvimbo zhinji dzebayoloji. Semuenzaniso, mumatanho maviri akateedzana eFibonacci, senge kubatanidzwa mumiti, kurongedzwa kwemashizha padanda, michero yeminanazi, kutumbuka kweatitchoku, fern isina kuvhurika uye kurongeka kwepine koni. Idzo nhamba dzeFibonacci dzinowanikwawo mumhuri yemhuri yeuchi nyuchi, maererano neinotevera 'mitemo'; kana zai rikaradzikwa nevakadzi vasina kuroorwa, rinochochonya hono yechirume kana yenyuchi. Kana, zvakadaro, zai rakasangana nemurume, rinochochonya hadzi. Nekudaro, nyuchi yechirume inogara iine mubereki mumwe chete, uye nyuchi hadzi inozoita vaviri. Kana dzinza renyuchi yechirume rakatevedzwa, iye ane mubereki mumwe, vanasekuru vaviri, vatatu sekuru, vashanu sekuru nasekuru, zvichingodaro. Iyi nhevedzano yenhamba yevabereki ndiyo yakateedzana neFibonacci.
Haugutsikane nenyuchi? Ipapo ngatishandise mimwe mienzaniso miviri kuratidza iyo 'wow' chinhu. Sunflowers uye ferns.
Iyo sunflower ndiyo muenzaniso wakakwana weiyo Fibonacci kuteedzana uye inoenderana "yegoridhe ratio" inoonekwa mune zvakasikwa. Iwo ma florets akarongedzwa mune yakatenderera maitiro ese ari maviri wachi uye inopesana nemawoko fashoni. Kune makumi matatu nematanhatu anotenderera anotendeukira kwewatch uye makumi maviri nemaviri emidzimu anotendeukira kurudyi. Iyo inopesana neiwatch spirals inoita kunge inokura zvinoenderana neyero yegoridhe. Chiyero chinofungidzirwa cheichi ndechekuti nharaunda yemhepo inopetwa inopetwa neese 34 ° yekutenderera.
Kukura kukura kunowanikwawo pamashizha nematavi emiti. Maferns yaive yekutanga nyika chirimwa kushandisa zvimiro zvevascular. Iyo fern bazi rinoshandisa yakatsemuka pateni yekukura, rimwe nerimwe diki diki rakafanana nekopi yeiyo yese. Matavi eFern haana kukura kukura, asi bazi kukura kubva padanda remuti wemuti.
Leonardo Fibonacci
Leonardo Fibonacci, anonyanya kunzi Fibonacci, akararama kubva muna 1170-1250. Akanga ari nyanzvi yemasvomhu yekuItaly, yaifungidzirwa kuti "inyanzvi yekumadokero masvomhu yeMiddle Ages." Fibonacci inonyanya kuzivikanwa nekupararira kweHindu-chiArabic manhamba ehurongwa muEurope kuburikidza nekuburitswa mukutanga kwezana ramakore rechi13 rebhuku rake reCalculation, Liber Abaci; uye nenhamba dzenhamba dzakatumidzwa zita rake dzinozivikanwa seFibonacci nhamba, dzaasina kuwana, asi akashandisa semuenzaniso muLiber Abaci.
MuLiber Abaci (1202), Fibonacci akaunza modus Indorum (nzira yevaIndia), nhasi inozivikanwa seinhamba dzechiArabic. Bhuku raitsigira kuverenga nemanhamba 0–9 uye kukosha kwenzvimbo. Iri bhuku rakaratidza kushandiswa kunoshanda kweiyo nyowani manhamba system; kushandisa kuwanda kweterevhizheni uye zvikamu zvidiki zveEjipitori, uchizvishandisa pakuchengeta mabhuku, kushandura zviyero nezviyero, kuverenga kufarira, kushandura mari, uye zvimwe zvinoshandiswa. Iri bhuku rairemekedzwa kwazvo muEurope yose yakadzidza uye rakakanganisa zvakanyanya kufunga kweEuropean nekuziva.
Liber Abaci akakumbira uye akagadzirisa dambudziko rinosanganisira kukura kwehuwandu hwetsuro zvichibva pane zvakafungidzirwa. Mhinduro, chizvarwa nechizvarwa, yaive yakateedzana manhamba akazozivikanwa seFibonacci manhamba. Huwandu hwekuteedzana hwaizivikanwa nevanoziva masvomhu eIndia pakutanga kwezana ramakore rechitanhatu, asi aive Libibon Abaci waFibonacci ndiye akaunza iyo kuMadokero.
Mukutevedzana kweFibonacci yenhamba, nhamba yega yega huwandu hwenhamba mbiri dzakapfuura, kutanga na0 na1. Iyi nhevedzano inotanga 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89 , 144, 233, 377, 610, 987. Iyo yakakwira mudanho, iyo inoswedera miviri yakateedzana "nhamba dzeFibonacci" dzekuteedzana dzakakamurwa nemumwe ichaswedera kuhuwandu hwegoridhe (ingangoita 1: 1.618 kana 0.618: 1).
Uchishandisa Fibonacci Kutengesa
Fibonacci kudzokedzana inzira yekuongorora kwehunyanzvi yekumisikidza rutsigiro uye nematanho ekudzivirira. Ivo vanodanwa mazita mushure mekushandisa kwavo kuteedzana kweFibonacci. Kudzoreredza kweFibonacci kunoenderana nepfungwa yakapusa yekuti misika ingangodzosera chikamu chinotarisirwa chekufamba, mushure mezvo vachazoramba vachifamba munzira yekutanga.
Kudzoreredza kweFibonacci kunoitwa nekutora mapoinzi maviri akanyanya pachati uye nekuparadzanisa yakatwasuka daro nekiyi Fibonacci ratios. 0.0% inofungidzirwa sekutanga kwekutangazve, nepo 100.0% iri shanduko yakazara kuchikamu chekutanga chekufamba. Kana aya mazinga akangozivikanwa, mitsara yakatwasuka inodhonzwa uye inoshandiswa kuratidza inokwanisika rutsigiro nemazinga ekudzivirira. Aya mazinga eS & P anoenderana ne61.8% 38.2% 23.6% kudzoreredza.
Mutengo unowanzo dzoreredza, kana kudzosera muzana chikamu chekufamba usati watendeuka. Kudzoreredzwa kweFibonacci kunowanzoitika pamatanho mana: 23.6%, 38.2%, 50%, uye 61.8%. Chaizvoizvo, iyo 50% nhanho haina hukama neFibonacci, vatengesi vanoshandisa danho iri nekuda kwetsika yemutengo yekudzosera kumashure mushure mekutora ingangoita hafu yekufamba kwakapfuura. Paunodhirowa firidhi pane chati, iwe uchaona kuti iyo grid inokwira kumusoro zvine rutsigiro uye nzvimbo dzekudzivirira. Naizvozvo iwe haufanire kudhirowa iyo S & R mitsara. Panzvimbo iyoyo, iwe unogona kungotarisa pane chati uye fungidzira kuti iwo matanho ari kupi.
Pane imwe kiyi yakakosha neFibonacci inochipa iyo zvakanyanya kubatsira kushambira uye nzvimbo yekutengesa zvinopesana nekutengesa kwemazuva mazhinji. Mumisika inokurumidza kufamba (kushandira yakaderera nguva mafuremu) zvakanyanyisa kuoma kutora kumusoro uye pasi kwezvekufamba kwazvino, asi pakufamba kwekutengesa zvakatwasuka kumberi uye mazhinji ekuchora mapakeji anozo 'auto kunyora' Fib yako. Sezvo nezviratidzo zvese, kunyangwe paine 'runako' uchishandisa Fib ichiri kuda manejimendi manejimendi uye kuranga kuti riite. Haufanire kufunga kuti zvakadzama paunenge uchiishandisa, asi kufunga kwakadzama ndiko kwakakonzeresa kuteedzana kweFibonacci, uye hapana vatengesi vakambokundikana kuburikidza nekushandisa kuziva kwakadzika uye kwehungwaru pakutengesa kwavo.
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