Nobarobari dar matemati­ka

Nobarobari dar matemati­ka, vobastagii bayni adadho yo buzurgihost, ki nisbat ba hamdigar kalon yo khurd budani onhoro nishon medihad. Baroi ishorai Nobarobari alomati < -ro istifoda mebarand, ki qullai on ba samti adadi khurd nigaronda meshavad. Masalan, vobastagihoi 2>1 va 1 < 2 nishon medihad, ki 2 az 1 kalon ast. Bazan yakchand Nobarobariro yakbora menavisand (masalan, a < b < s). Baron yake az adadkhoi a va b az di- garash kalon va yo ba on barobar bu- dvnashro ifoda namudan chunin menavisand. a > b (yo b < a) va mekhonand: «a az b kalon yo barobari on ast» («b az a khurd yo barobari on meboshad») yo khud mukhtasar: na az b khurd nest» (yo «b az a kalon nest»).  Navishti a  nobarobarii adadhoi a va b -ro ifoda namuda, kadome az onho kalon budanashro nishon namedihad. Hamai in vobastagihoro niz Nobarobari menomand.

Aksari khosiyati Nobarobariho ba khosiyati barobariho umumiyat dorand: Masalan, agar ba har du tarafi Nobarobari yak adad jam (yo az har du tarafi Nobarobari yak adad tarh) karda shavad, Nobarobari tagyir nameyobad. Khudi hamin tavr har du tarafi Nobarobariro ba adadi musbat zarb namu­dan mumkin ast. Vale, agar har du tarafi Nobarobari ba adadi manfi zarb kar­da shavad, manoi Nobarobari tagyir meyobad (yane alomati > bo alomati < alo- mati < ba > ivaz meshavad). Az Nobarobarihoi A < V va S < D Nobarobarii A + S < < V + D va A — D < V — S barmeoyand, yane Nobarobarihoi hamnomro (A < V va S < D) azo ba aao jam, Nobarobarihoi gunogunnomro (A < V va D > S) azo ba azo tarh kardan mumkin ast. Agar adadhoi A, V, S va D musbat boshand, az Nobarobarihoi A < V va C<D Nobarobarihoi AC<BD va A/D<B/C barmeoyand, yane Nobarobarihoi hamnomro (baroi adadhoi musbat) ba hamdigar azo ba azo zarb, Nobarobarihoi gunotunnomro azo ba aao taqsim kardan mumkin ast.

Ad.:Korovkin   P. P.. Neravenstva, 4 izd.. M., 1974. R. Mullojonov.