
entropic jokhim upay

aarthik ganitamadhye (vittiy bajarachya ganiteey modelingshee sambandhit), entropic jokhim upay haah eka jokhim upay aahe joou ghatankiy upayuktata karyadvare vaparkartyachya jokhim virodhavar avalambun asato. jokhim-darr-jokhim kinwa apekshit kamatarata yaa itar jokhamichya upayayojananna haah sambhavya paryay aahe.
haah eka saiddhantikdrushtya manoranjak upay aahe kaaran jokhim ghenyabaddalchi tyanchi drushtikon bhinn asoo shakatat asha vegvegalya vyaktinsathi too jokhim moolye pradan karato. tathapi, ekhadya vyaktisathi jokhim nakarnyache praman mojane katheen asalyane vyavharat teey vaparane katheen asel. entropic jokhim upay heey bahirmukh jokhim upayanche pramukh udaharan aahe jeey susangat nahee. upayuktata karyanshi jodani dilee gelyas, tyacha vapar upayuktata jastit jaast karnyachya samasyanmadhye keela jaau shakato.
ganiteey vyakhya.
jokhim nivaran mapdand sootra _ 1 saha entropic jokhim upay ashee paribhashit kelee aahe
jethe sootra _ 3 hii "q" "p" chee sapeksh entropy aahe.
sweekruti sanch.
entropic jokhim upayasathi nishchit keleli sweekruti mhanje sakaratmak apekshit upayuktatesah milananya paratavyancha sanch aahe. teey mhanje
jethe sootra _ 5 heey ghatankiy upayuktata karya aahe.
gatishil entropic jokhim upay.
jokhim nivaran mapdand sootra _ 6 saha gatishil entropic jokhamishi sambandhit sashart jokhim upay khalilpramane deela aaheh
jarr sootra _ 6 kalantarane sthir asel tarr heey velenusar jokhim mojanyache eka susangat upay aahe,
 aanee pudhe-mage vibhedak samikarane vaparoon karyakshamatene ganana kelee jaau shakate