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I-dimension
From Wikipedia, the free encyclopedia
Xa sithetha ngee-dimensions sithetha ngendlela esizibona ngayo izinto esiphila phakathi kwazo apha emhlabeni, naxa sisenza imilinganiselo yazo ezi zinto, kwakunye namava esinawo ngezi zinto siphila phkathi kwazo apha ehlabathini. Xa siyiphicotha yonke ke le nto sisebenzisa ukunyuka nokubheka ezantsi okanye ukuhla, sisebenzise ikhohlo nokunene, ubushushu nokubanda, sijonge nokokuba ingaba inzima kangakanani na loo nto kuthethwa ngayo, kwanokokuba indekangakanani na. Konke ke oku kusetyenziswa ndawonye nesigama esivela kwi-mathematika kunye nefiziki. Enye indlela yokuchaza i-dimension kukujonga kumaqondo freedom okanye indlela egungquza okanye eshukuma ngayo into kwisithuba esivulekileyo. Ziziintlobo ngeentlobo izigama okanye iindlela elisetyenziswa ngayo igama elithi dimension, kwayeziziintlobo-ngeentlobo iindlela elichazwa ngayo eli gama. Akukho nkcaza kananjalo akukho nkcaza enokwanelisa sonke isigama ngokupheleleyo.
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Kwivsithuba esivulekileyo se-vector space, (i-vector space ngesiNgesi) (i-vector ngumgca ovulekilleyo ekupheleni kwawo) i-dimension iyalingana ne-cardinality okanye nenani lezalathini zee-vectors okanye ezemigca. Ikwalingana nenani lelona qela likhulu lomgca wezalathini ongqalileyo okwesosithuba sivulekileyo. Izinto "eziqhelekileyo" kubomi bethu bemihla ngemihla bubonakaliswa ngee-dimensions ezintathu, ezibizwa ngokuba bubude, ubukhulu emacaleni, kunye nobunzulu. Kwa-mathematika esi sigama sibizwa ngegama elithi Euclidean space.
Ii-dimensions zisenokusetyenziswa kumlinganiselo wendawo emi kuyo (ebizwa ngokuba yi-position) loo nto kuthethwa ngayo ngexesha kusenziwa ngalo umlinganiselo-position. Umgama (i-distance) oya kwi-position usuka kwindawo oqala kuyo lo mlinganiselo (ndawo leyo eyaziwa ngokuba si-starting place) umlinganiselo walo mgama usenokwenziwa kubungakanani bayo ngobude, ngobubanzi (ubukhulu ngokwasemacaleni kwanangobude ukubheka phezulu. Le migama ke isetyenziswa ukuze kwenziwe umlinganiselo we-position.
Ngamanye amaxesha i-dimention yesine (eyi-4D, ixesha, isetyenziselwa ukubonisa i-position yaloo nto ethe yenzeka (eyaziwa ngokuba yi-event) ngexesha ethe yenzeka ngalo nange-space.(isithuba esivulekileyo)