Ilm

MUODILAI INTEGRALI, muodilaest, ki funksiyai nomalumi on tahti alomati integral voqe ast. Muodilai integralii jinsi du­yumi Fredgolm az soddatarin Muodilai integralist, ki dar on 1r(j)—funksiyai nomalum, /(j)— azoi ozod, K (j, t)—yadroi Muodilai integrali, X — parametr (ham qimathoi haqiqi va ham qimathoi kompleksi qa­bul karda metavonad) meboshad. Dar mavridi …

MUODILAI MAVJI, muodilai differensialii hosilahoyash khususiest, ki prosessi pahnshavii angezishro dar yagon muhit ifoda me­kunad. Baroi angezishhoi khurd va muhiti yakjinsai izotropi Muodilai mavji na­mudi zerin dorad: Dar tagyiryobandahoi Eyler hal kardani masalai umumii gidromekha­nika ba masalai hamchun funksiyai kh, u, z va f ifoda namudani i, i, w, r, …

MUODILAI IRRASIONALI, muodilaest, ki dar on buzurgii no­malum dar radikal (resha) mebo­shad, masalan, Uj — 2*5. Baroi muodi­lahoi irrasionali mafhumi «tartibi muodila» vujud nadorad. Asosan se usuli hal kardani muodila­hoi irrasionali mamul ast: 1) usuli jori namudani nomalumi yorirason, ki badi on halli Muojilai irrasionali ba halli muodilai rasionali badal …

MUODILAI KLERO, muodilai differensialii oddii tartibi yakumi namudi u — khu’ + /(u#)“RO gir­and, ki dar on / funksiyai diffe- rensironidashavandai dodashuda ast. Muodilai mazkurro bori avval soli 1734 matematiki fransavi A. Klero (1713—65) tadqiq kardaast. Muodilai Klero dar shakli okhirnok integronida me­shavad. Halli umumii Muodilai Klero  plan khathoi rosti …

MUODILAI KVADRATI, muodi­lai namudi akh*+kh+s — 0-ro guyand, ki dar on a, , s adadhoi ikhtiyori buda, koeffisienthoi muodila no­mida meshavand. Muodilai kvadrati du resha do­rad, ki az rui formulahoi ^ _ — +U ‘—4as 1          Ta 1 b —U bt—iae 2 a hisob karda meshavand. Ifodai D = = …

MUODILAI KOShI-RIMAN dar nazariyai funksiyahoi tah- l i l i, muodilai differensialii hosilahoyash khususii tartibi yakumro guyand, ki vobastagii qismi haqiqi va qismi mavhumi funksiyai tahlilii w = i + iv tagyiryobandaash kompleksii kh = kh + iy-ro ifoda mekunad, yane In nav muodilaho dar nazariyai funksiyahoi tahlili va tatbiqi …

MUODILAI DIRAK, muodilai kvantii harakati elektronro guyand, ki muvofiqan ba khulosahoi nazariyai nisbiyat murattab sokhta tudaast (P. Dirak, soli 1928). Az Muodilai Dirak barmeoyad, ki elektron momenti miqdori  harakati mekhanikii khos-spin. Bo yorii Muodilai Dirak fomulai sahehtari  saviyahoi energiyai atomi gid­rogen (va atomhoi gidrogenmonand) hosil karda shud, ki struktureai nozuki …

MUODILAI KUBI, muodilai algebravii tartibi seyumi namudi akh9 + bx2 + skh -f- d = 0 -ro guyand, ki dar on a^O mebo­shad. Dar in muodila kh-ro bo noma­lumi nav u, ki bo kh tavassuti baro­barii kh = u              aloqamand ast, ivaz    namuda, muodilaro           ba        shakli nisbatai sodda       (kanoni)        tabdil          …

MUODILAI DIFFERENDSIALII KhUDPAYVAST, muodilaest, ki bo muodilai ba khudash hamrohshuda (payvasta) halhoi yakkhela dorad (nigared Muodilahoi differensialii hamrohshuda). Muodilai differensialii khudpayvasti oddii tartibashon juft (2m) va tartibashon toq (2t — 1) muvofiqan shaklhoi zerinro dorand: ki dar on Ai funksiyahoi kh mebo­shand. Mafhumi Muodilai differensialii khudpayvast dar nazariyai muodilahoi differensialii …

MUODILAI LAGRANJ, muodi­lai Dalamber, muodilai dif­ferensialii oddii tartibi yakumro guyand, ki nisbat ba tagyiryobandahoi vobasta va novobasta khattist va chunin namud dorad: in jo u’ – —♦ va /—funksiyahoi nisbat ba argumentashon dif- ferensionidashavandai dodashuda. Integrali umumii Muodilai Langrajro dar shakli parametri hangomi nisbat ba kh differensionidani muodila yof­tan mumkin …