nalaspes gunadharm

sankuchit sanvedanamadhye, nalaspes gunadharm formula _ 1-relaxation tantracha vapar karoon viral sanketanchya punarbandhanivar aavashyak aanee puresha atty deto. nalaspes property' haah shabd cohain, dahmen aanee divor yaa shabdanpasun aala aahe. nalaspes gunadharm vyavharat tapasane anekada katheen asate aanee sankuchit samvedan kshetrat pratibandhit samamiti gunadharm hii adhik aadhunik sthitee aahe.
sootra _ 1 shithilateche tantra.
naun-convex sootra _ 3-minimization samasya,
sootra _ 4 heey sootra _ 5 chya adheen aahe,
sankuchit sanvedanamadhye hii eka manak samasya aahe. tathapi, sootra _ 3-laghurupikaran sarvasadharanpane aine. pii.-haard mhanoon olakhale jaate. tyamule, sootra _ 1 shithil karnyache tantra kadhikadhi sootra _ 3-norm vaparoon sanket punarrachanechya adchaninna talhanyasathi vaparale jaate. sootra _ 1-shithilatemadhye, sootra _ 1 samasya,
sootra _ 11 heey sootra _ 5 chya adheen aahe,
sootra _ 3 chya jaagi samasyeche nirakaran kele jaate. lakshat ghya qee hii shithilata bahirmukh aahe aanee tyamule resheey programingchya manak tantranna anukool aahe-heey sangankiyadrushtya vanchhaniy vaishishtya aahe. swabhavikpane aaplyala heey jaanun ghyayache aahe qee sootra 1-shithilata sootra 3 samasyesarkhech uttar kevha deil. nalaspes malmatta haah kararachi hummy denyacha eka marg aahe.
vyakhya.
sootra _ 16 jatil matricks sootra _ 17 madhye kram sootra _ 18 chaa nalaspes gunadharm aahe, jarr sootra _ 20 saha serve nirdeshank sanch sootra _ 19 sathee aaplyakade teey aaheh serve sootra _ 22 sathee sootra _ 21.
punarprapti sthitee.
khaleel pramey sootra _ 24 madheel dilelya sootra _ 18-spares vectorchya punarpraptikshamatevar aavashyak aanee pureshi aut dete. prameyacha purava eka manak aahe aanee yethe puravilelya puravyacha saransh holger rauhatmadhun deela aahe.
sootra _ 25 sootra _ 17 heey sootra _ 16 complexes matricks asoo dya. jarr aanee jarr sootra 17 heey kram sootra 18 saha nalaspes gunadharm purn karate tarach pratyek sootra _ 18-spares signal sootra _ 29 heey sootra _ 31 saha sootra _ 1-shithilatechya samasyeche adviteey samadhan aahe.
forward dishene sootra _ 34 lakshat ghya qee sootra _ 35 aanee sootra _ 36 heey sootra _ 17 chya reshatmakatedvare sootra _ 37 asalele vegale vahak aahet aanee mhanoon advitiyatedvare aaplyala ichchit sootra _ 21 asane aavashyak aahe. magechya dishene, sootra 40 heey sootra 18-spares aanee sootra 42 asoo dya, dusare (aavashyak sootra 18-spares nahee) vector jase qee sootra 44 aanee sootra 45. (shoonya nasalele) vector sootra 46 paribhashit qaraa aanee lakshat ghya qee teey sootra 17 chya shunyakshetrat aahe. sootra 19 laa sootra 40 chaa aadhar sanga, aanee nantar trikon asamanatechya prathamik anuprayogatun nikal yetoh sootra 50, sootra 40 chee kimanata sthapit karate. sootra 52.

