Wani sabon binciken ya gyara kuskuren lissafi na shekaru 100

um novo estudo corrigiu um erro matemático de 100 anos

Roksana Bujack, masanin lissafi kuma masanin kimiyyar kwamfuta wanda ke haɓaka hangen nesa na kimiyya a dakin gwaje-gwaje na kasa na Los Alamos ya ce "Gabatar da ɗayansu ba daidai ba ne kusan mafarkin masanin kimiyya ne."

Duk da haka, abin da ita da abokan aikinta suka yi ke nan - ba su tabbatar da ɗaya ba, amma duk mutane ukun sun faɗi kuskure. A cikin wata takarda kwanan nan da aka buga a cikin Ayyukan Cibiyar Nazarin Kimiyya ta Kasa, Bujak da mawallafinsa sun gyara kuskuren lissafi wanda ke da tushe fahimtar fahimtar launi.

"Bincikenmu ya nuna cewa tsarin lissafi na yanzu wanda ke nuna yadda ido ya fahimci bambance-bambancen launi ba daidai ba ne," in ji R. Bujak. - Bernhard Riemann ne ya gabatar da wannan ƙirar kuma Hermann von Helmholtz da Erwin Schrödinger, duk ƙwararrun ƙwararrun lissafi da kimiyyar lissafi ne suka haɓaka.

An yi wannan kuskure fiye da shekaru 100 da suka gabata, amma har yanzu ana jin sakamakonsa. Wannan shi ne saboda yadda aka tsara sararin launi yana cikin zuciyar zane-zanen kwamfuta na zamani, sarrafa hotuna da ayyukan gani. Idan kun taɓa mamakin dalilin da yasa muke amfani da tsarin hada launi na RGB, amsar mai sauƙi ce - saboda wannan ƙirar.

Mataki na farko a cikin daidaitaccen samfurin tsinkayen launi shine zana launuka ja, kore da shuɗi (launuka uku mafi sauƙin ganowa ta retina ɗan adam) a cikin sarari mai girma uku.

A fasaha, wannan shine abin da ake kira sararin Riemannian. Wannan wani nau'i ne na haɓaka sararin samaniyar Euclidean wanda muke amfani da mu don ganowa a makarantar firamare. Yana da amfani musamman wajen mu'amala da wani abu wanda kamanninsa ya dogara da sikelin da muke kallonsa. Yana iya zama baƙon abu, amma kyakkyawan misali shine duniyar duniya. Daga nesa muna ganinsa a matsayin wani yanki, amma daga inda kuke zaune a yanzu yana da kyan gani.

Koyaya, fa'idar filayen Riemannian shine cewa ana sarrafa su gabaɗaya. Yana da sauƙi musamman a auna nisa tsakanin maki A da Z, kuma mafi mahimmanci, idan aka haɗa tazara tsakanin maki A, B, C, D, da sauransu. har zuwa aya Z, za ku sami sakamako iri ɗaya.

Watakila wannan yana iya zama kamar abu mai bayyana kansa a kowane sarari, amma a zahiri ba koyaushe bane gaskiya. Sai ya zama daya daga cikin wuraren da wannan ka'idar ba ta tabbata ba shine a cikin ƙirar launi.

"Ba mu yi tsammanin wannan ba," in ji R. Bujack, "Kuma har yanzu ba mu san ainihin lissafin wannan sabon sararin launi ba." . Amma abu ɗaya a bayyane yake, wannan ilimin lissafi ba shakka ba Riemannian bane don wani muhimmin dalili: ka'idar rage dawowa.

A taƙaice, kwakwalwar ɗan adam tana da ƙarancin fahimtar launi “ma’auni”, don haka muna yawan ganin manyan bambance-bambance tsakanin launuka biyu ƙanana fiye da jimlar duk ƙananan bambance-bambancen da ke tattare da su.

"Siffar da aka ɗauka na sararin launi yana buƙatar canjin yanayi," in ji R. Bujack, - Duk da haka, abin da ainihin canjin zai kasance ya kasance don bayyanawa. Za mu iya tunanin shi kullum, amma tare da ƙarin aikin damping ko nauyi, wanda ke kunshe da nisa mai nisa kuma yana rage su. Amma har yanzu ba za mu iya tabbatar da hakan ba.

Kimiyyar IFL ce ta shirya.

Rate wannan post

Labarai masu alaka

Leave a Comment

kuskure: