Voodoo kapena Juju? Chikhalidwe Chachinsinsi cha Fibonacci
Monga otsatira zipembedzo zachipembedzo pali amalonda ndi owunikira omwe amadzipereka kwathunthu ku malingaliro awo pazizindikiro kapena njira zina. Pali 'chisonyezo' chimodzi chomwe, mosasamala luso lake, chimatha kutengera malingaliro anu kuposa omwe adapangidwa kumapeto kwa zaka za makumi awiri ndi akatswiri amasamu ndi owerengera. Madeti azizindikiro awa, ndi malire ena, chilichonse chomwe tavomereza ngati msika wamakono wazachuma. Kunena kuti palibe amene akudziwa chifukwa chake kusinthana kwa Fibonacci kwenikweni 'kumagwira ntchito' mu malonda ndizosamveka bwino ndipo ngati mumavomereza kuti mumagwiritsa ntchito Fib mu malonda anu mumakumana ndi kukayikira komanso kudabwitsidwa.
Pali zikhulupiriro kuti 'Fibs' amangogwira ntchito ngati ulosi wokha; chifukwa amagwiritsidwa ntchito kwambiri ndipo amalumikizana kwambiri kuti athandizire komanso kukana komwe kumawathandiza. Koma palinso lingaliro lina chifukwa chake ma Fibs amagwirira ntchito ndipo ndi 'trippy' pang'ono, zimakhudzana ndikupezekanso kwa manambala a Fibonacci ndikutsata kwachilengedwe. Ofufuza ambiri ndi amalonda amaloza ku Fib, kuloza ku kusakhazikika kwa misika, kuthekera kopanda malire komwe mtengo ungasunthire mbali iliyonse nthawi iliyonse ndikudzifunsa ngati kulibe chidziwitso cha chilengedwe chonse.
Kutsata kwa Fibonacci kumawonekera m'malo osiyanasiyana. Mwachitsanzo, pamanambala awiri otsatizana a Fibonacci, monga nthambi zamitengo, kapangidwe ka masamba pamtengo, zipatso za chinanazi, maluwa a atitchoku, fern wosasunthika komanso kapangidwe ka kondomu ya paini. Manambala a Fibonacci amapezekanso mumtundu wa uchi, malinga ndi 'malamulo' awa; dzira likayalidwa ndi lachikazi lomwe silinaimitsidwe, limaswa ana aamuna kapena a njuchi. Ngati, komabe, dzira linakwiriridwa ndi mwamuna, limaswa mkazi. Chifukwa chake, njuchi yamphongo nthawi zonse imakhala ndi kholo limodzi, ndipo njuchi yayikazi imakhala ndi awiri. Ngati mbadwa zamphongo zamtundu uliwonse zimapezeka, iye ali ndi kholo limodzi, agogo awiri, agogo atatu, agogo agogo, ndi zina zambiri. Chiwerengero cha makolo ndi chiwonetsero cha Fibonacci.
Osakhutitsidwa ndi njuchi? Kenako tiyeni tigwiritse ntchito zitsanzo zina ziwiri kuwonetsa chinthu cha 'wow'. Mpendadzuwa ndi fern.
Mpendadzuwa ndiye chitsanzo chabwino kwambiri chotsatira cha Fibonacci komanso "golden ratio" yofananira yomwe imawonekera m'chilengedwe. Ma florets amakonzedwa munjira yozungulira mozungulira mozungulira komanso motsutsana ndi wotchi. Pali mizere 34 yomwe imazungulira mozungulira ndi 21 yozungulira yomwe imayenda mozungulira. Mawotchi oyenda motsatizana amawoneka kuti amakula malinga ndi kuchuluka kwa golide. Chiyeso cha izi ndikuti utali wozungulira umachulukirachulukira ndi 90 ° iliyonse yazungulira.
Kukula kokulira kumapezekanso pa zimayambira ndi nthambi za zomera. Ma Fern anali mbewu yoyamba kugwiritsira ntchito mitsempha. Nthambi ya fern imagwiritsa ntchito kakulidwe kakang'ono, nthambi iliyonse yaying'ono imafanana ndi yonse. Nthambi za Fern sizimera pang'onopang'ono, koma nthambi zimakula kuchokera pamtengo wa fern.
Leonardo Fibonacci
Leonardo Fibonacci, yemwe amadziwika kuti Fibonacci, adakhalako kuyambira 1170-1250. Anali katswiri wamasamu waku Italiya, yemwe amadziwika kuti ndi "katswiri waluso kwambiri wakumadzulo wazaka zapakati." Fibonacci amadziwika bwino chifukwa chofalitsa dongosolo lachihindu ndi Chiarabu ku Europe kudzera kufalitsa koyambirira kwa zaka za zana la 13 la Book of Calculation, Liber Abaci; ndi kuchuluka kwa manambala omwe adamutcha dzina lake Fibonacci manambala, omwe sanapeze, koma adagwiritsa ntchito ngati chitsanzo mu Liber Abaci.
Mu Liber Abaci (1202), Fibonacci adayambitsa modus Indorum (njira ya Amwenye), yomwe masiku ano imadziwika kuti manambala achiarabu. Bukuli limalimbikitsa kuchuluka kwa manambala ndi manambala 0 mpaka 9 komanso mtengo wake. Bukuli likuwonetsa kugwiritsa ntchito manambala atsopano; kugwiritsira ntchito kuchulukitsa kwa latisi ndi tizigawo ting'onoting'ono ta ku Egypt, kuyigwiritsa ntchito posunga ndalama, kutembenuza zolemera ndi miyezo, kuwerengera chiwongola dzanja, kusintha ndalama, ndi ntchito zina Bukuli lidalemekezedwa kwambiri ku Europe konse ophunzira ndipo lidakhudza kwambiri kusintha malingaliro ndi chidziwitso ku Europe.
Liber Abaci adayambitsa ndi kuthana ndi vuto lomwe limakhudzana ndi kuchuluka kwa akalulu potengera malingaliro. Njira yothetsera vutoli, mibadwomibadwo, inali manambala angapo omwe pambuyo pake amadziwika kuti manambala a Fibonacci. Chiwerengerochi chinkadziwika ndi akatswiri a masamu aku India koyambirira kwa zaka za zana lachisanu ndi chimodzi, koma anali Liber Abaci wa Fibonacci yemwe adayambitsa izi Kumadzulo.
Motsatira manambala a Fibonacci, nambala iliyonse ndi chiwerengero cha manambala awiri am'mbuyomu, kuyambira 0 ndi 1. Chigawochi chimayamba 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89 , 144, 233, 377, 610, 987. Kukwezeka pamwambowu, kuyandikira "manambala a Fibonacci" motsatizana motsatizana kudzafika pagawo lagolide (pafupifupi 1: 1.618 kapena 0.618: 1).
Kugwiritsa ntchito Fibonacci ku Trade
Kubwezeretsanso kwa Fibonacci ndi njira yowunikira ukadaulo wodziwitsa milingo yothandizira ndi kukana. Amatchulidwa chifukwa chogwiritsa ntchito njira ya Fibonacci. Kubwezeretsa kwa Fibonacci kutengera lingaliro losavuta lomwe misika mwina itenganso gawo losunthika, pambuyo pake ipitilizabe kuyenda kolowera.
Kubwezeretsa kwa Fibonacci kumapangidwa ndikutenga mfundo ziwiri zazikulu kwambiri pa tchati ndikugawa mtunda wowongoka ndi magawanidwe ofunikira a Fibonacci. 0.0% imawerengedwa kuti ndiye chiyambi chobwezeretsa, pomwe 100.0% ikusintha kwathunthu pagawo loyambalo. Magawo awa akangozindikirika, mizere yopingasa imakokedwa ndikugwiritsidwa ntchito pozindikira milingo yothandizira ndi kukana. Magawo a S&P awa akukhudzana ndi 61.8% 38.2% 23.6% obwezeretsanso.
Mtengo nthawi zambiri umabwerera m'mbuyo, kapena kubweza kuchuluka kwa kusuntha koyambirira musanabwerere. Kubwezeretsanso ku Fibonacci nthawi zambiri kumachitika m'magulu anayi: 23.6%, 38.2%, 50%, ndi 61.8%. M'malo mwake, mulingo wa 50% ulibe ubale ndi Fibonacci, amalonda amagwiritsa ntchito mulingo uwu chifukwa chazomwe mtengo umasinthiratu pambuyo pobwezera pafupifupi theka lakusunthira m'mbuyomu. Mukajambula gridi pa tchati, mudzawona kuti gridyo ili pafupi kwambiri ndi malo othandizira ndi otsutsa. Chifukwa chake simuyenera kujambula mizere ya S&R. M'malo mwake, mutha kungoyang'ana tchati ndikuyerekeza komwe milingo ili.
Pali vuto limodzi ndi Fibonacci lomwe limapangitsa kuti likhale lothandiza kwambiri pakusinthana ndi kugulitsa malo mosiyana ndi malonda amkati. M'misika yosunthira mwachangu (kugwiritsa ntchito mafelemu ocheperako) ndizovuta kwambiri kusankha pamwamba ndi pansi pazomwe zachitika posachedwa, koma posinthanitsa malonda ndizowongoka ndipo maphukusi ambiri amalemba 'auto' Fib kwa inu. Monga momwe zilili ndi zisonyezo zonse, ngakhale 'chithumwa' chake chogwiritsa ntchito Fib chimafunikiranso kuwongolera ndalama mwanzeru kuti athe kugwira ntchito. Simusowa kuti muganizire mozama mukamagwiritsa ntchito, koma kulingalira mozama ndi komwe kudapangitsa kuti Fibonacci ipezeke, ndipo palibe ochita malonda amene adalephera kugwiritsa ntchito chidwi chakuya komanso chanzeru pamalonda awo.
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