
ekoon apeksha kayada

ekoon apekshecha niyam, punaravrutti kelelya apekshancha niyam (khote), aadamcha niyam, buruj niyam aanee smoothing pramey mhanoon olakhala jaanara sambhavyata siddhantatil prastav, itar navansah, asey sangato qee jarr sootra _ 1 haah yadruchchik chull aahe jyache apekshit moolya sootra _ 2 paribhashit kele aahe aanee sootra _ 3 heey tyach sambhavyata jaaget konatehi yadruchchik chull aahe, tarr
aay.eae., dilelya sootra _ 1 chya sashart apekshit mulyache apekshit moolya sootra _ 3 chya apekshit mulyaitakech aahe.
eka vishesh prakaran asey sangate qee jarr sootra _ 8 heey sample spaceche maryadit kinwa mojata yenyajoge vibhajan asel, tarr
teepah sashart apekshit moolya eae ("x")" . "zed") haah eka yadruchchik chull aahe jyache moolya "zed" chya mulyavar avalambun asate. lakshat ghya qee 'ghatana' 'zed' = 'zed' dilele 'ex' chey sashart apekshit moolya 'zed' chey karya aahe. jarr aapan eae ("x") lihile tarr" . "z" "=" "z" ") =" "g" "(" "z" ") nantar yadruchchik chull e (" "x" ")" . "zed") mhanje "jee" ("zed"). ashach tippanya sashart sahparivartanala lagoo hotat.
udaharanadakhal.
samaja bajarat keval done karkhane divyancha puravatha karatat. factory formula 1 chey bulb sarasari 5000 taas kaam karatat, tarr factory formula 3 chey bulb sarasari 4000 taas kaam karatat. heey dnyat aahe qee karkhana sootra _ 1 upalabdh asalelya ekoon kandanpaiki 60 takke puravato. kharedi kelela kand kitee kaal kaam karel?
ekoon apeksha kayada lagoo kartana, aamchyakade aaheh
kuthe?
asha prakare kharedi kelelya pratyek divyache apekshit ayushya 4600 taas asate.
maryadit aanee mojata yenyajogya prakarananmadhye purava.
ekach sambhavyatechya jaaget paribhashit kelele yadruchchik chull sootra _ 1 aanee sootra _ 3, maryadit mulyancha maryadit kinwa mojata yenyajoga anant sanch gruheet dharoo dya. samaja sootra _ 25 paribhashit kele aahe, i.eae. sootra _ 26. jarr sootra _ 27 heey sambhavyata avkash sootra _ 28 chey vibhajan asel, tarr
purava.
jarr malika maryadit asel tarr aapan berries badaloo shakato aanee mageel abhivyakti hoil
jarr, dusarikade, malika anant asel, tarr tyache abhisaran sashart asoo shakat nahee, kaaran sootra _ 32 heey sootra _ 33 aanee sootra _ 34 donhi maryadit asalyas malika purnapane ekatra yete aanee jevha sootra _ 33 kinwa sootra _ 34 anant asel tevha tee anantatekade valate. donhi paristhitinmadhye, vareel yoganchi berries prabhavit naan karata adlabadal kelee jaau shakate.
samanya prakaranat purava.
sootra _ 37 hii sambhavyatechi jaaga asoo dya jyavar done up-σ-algebras sootra _ 38 paribhashit kele aahet. asha jagevaril yadruchchik chull sootra _ 39 sathee, smoothing kayada sangato qee jarr sootra _ 25 paribhashit kele asel tarr, i.eae.
sootra _ 41, mug
purava. sashart apeksha hii redon-nicodime vyutpann asalyane, khaleel done gunadharmanchi padtalani kelyane gulgulit niyam sthapit hotoh
yapaiki pahila gunadharm sashart apekshechya vyakhyenusar aahe. dusare siddha karnyasathi,
tyamule avibhajya sootra _ 47 paribhashit kele aahe (samaan sootra _ 48 nahee).
tyamule dusari malmatta astitvat aahe
sootra _ 49 soochit karate
parinami. vishesh prakaranat jevha sootra _ 51 aanee sootra _ 52, tevha smoothing kayada qamee hoto
sutrasathi paryayi purava _ 54
sashart apekshanchya mapan-saiddhantik vyakhyecha haah eka sopa parinam aahe. vyakhyenusar, sootra _ 55 heey eka sootra _ 56-mojata yenyajoge yadruchchik chull aahe jeey samadhan dete.
pratyek mojata yenyajoge sanch sootra _ 58 sathee. sootra _ 59 ghetalyane dawa siddha hoto.
vibhajanachya sutracha purava.
jethe sootra _ 61 heey sanch sootra _ 62 chey soochak karya aahe.
jarr vibhajan sootra _ 63 maryadit asel, tarr reshatmakatenusar, mageel abhivyakti banate
aanee aamhi purn kele.
tathapi, jarr vibhajan sootra _ 65 anant asel, tarr aapan heey darshavinyasathi varchasva abhisaran pramey vaparato qee
kharey tarr, pratyek sutrasathi _ 67,
sanch sootra _ 28 chaa pratyek ghatak eka vishisht vibhajan sootra _ 62 madhye yeto, tyamule anukram sootra _ 71 heey sootra _ 1 madhye bindupramane abhisaran karate qee nahee heey satyapit karane sope aahe. prarambhik gruhitkanusar, sootra _ 73. varchasva abhisaran pramey lagoo kelyane ichchit parinam midato.