
yadruchchik sankshipt sanch

ganitat, yadruchchik sankshipt sanch haah moolatah sankshipt sanch-mulyancha yadruchchik chull asato. yadruchchik gatishil pranalinsathi aakarshakanchya abhyasat yadruchchik sankshipt sanch upayukt aahet.
vyakhya.
sootra _ 1 heey eka sampoorn vegale karata yenyajoge metrik space asoo dya. sootra _ 2 heey sootra _ 3 chya serve sankshipt upasanchancha sanch darshavu dya. sootra _ 2 vareel hasdorf metrik sootra _ 4 heey paribhashit kele aahe
sootra _ 7 dekhil eka sampoorn vegale karata yenyajogi metrik jaaga aahe. sambandhit khule upasanch sootra _ 2 varr σ-bijganit tayar karatat, sootra _ 2 chey borel sigma bijganit sootra _ 9.
yadruchchik sankshipt sanch haah eka mojata yenyajoga karya sootra aahe, jeey sambhavyata avkash sootra _ 12 gunile sootra _ 13 madhye aahe.
dusya shabdant, yadruchchik sankshipt sanch heey mojata yenyajoge karya sootra aahe, jase qee sootra 15 jawaljawal nishchitpane sankshipt aahe aanee
pratyek sutrasathi mojata yenyajoge karya aahe _ 17.
charcha.
yaa arthane yadruchchik sankshipt sanch dekhil matheron (1975) pramane yadruchchik bund sanch aahet. parinami, vahak jaaga sthanik patalivar sankshipt aahe yaa atirikt gruhitkakhali, tyanche vitaran sambhavyatedvare dile jaate
sootra _ 21 sathee, sambhavyata sootra _ 22 prapt hote, jeey samadhankarak asate.
asha prakare covering function sootra _ 24 dile jaate
arthat, sootra _ 24 chaa arth soochak karya sootra _ 28 chaa sarasari mhanoon dekhil lavala jaau shakatoh
covering function sootra _ 30 aanee sootra _ 31 darmyan moolye ghete. sootra _ 34 saha serve sootra _ 17 chya sanch sootra _ 32 laa sootra _ 35 chaa aadhar mhanatat. sootra _ 38 saha serve sootra _ 37 chya sanch sootra _ 36 laa curnell mhanatat, nishchit binduncha sanch kinwa aavashyak kiman sootra _ 39. sootra _ 40 asalyas, i chaa kram aahe.aay.dii. yadruchchik sankshipt sanch, mug jawaljawal nishchitpane
aanee sootra _ 42 jawaljawal nishchitpane sootra _ 43 madhye ekatra yete