rele apavyay karya

bhautikshastrat, laurd relehchya navavarun naav dilele releh discipation function heey lagrangian yantrikimadhil veg-praman gharshan shaktinche parinam hatalanyasathi vaparale jaanare karya aahe. veg sootra _ 1 asalelya kanavaril gharshan shakti sootra _ 2 mhanoon lihili jaau shakat asalyas, sootra _ 3 kananchya pranalisathi rele discipation function ashee paribhashit kelee jaau shakate
heey karya gharshanadvare pranalichya urja apavyay darachya nimmya darache pratinidhitva karate. gharshan shakti hii apavyay karyacha veg pravanata nakaratmak aahe, sootra 5, shaktichya sambhavya nakaratmak sthitee pravahachya barobarichya shaktishi samaan aahe. heey sambandh samanyikrut nirdeshank sootra _ 6 chya sanchachya drushtine darshavile jaatat 
gharshan heey puranmatvadi naslyamule, teey lagrangechya samikarananchya sootra _ 8 termmadhye samavisht kele aahe,
euler-lagrange samikarananmadhye samanyikrut nirdeshankadware varnan kelelya gharshan shaktiche moolya lagoo karane

