sanghatana yojana

sankhyikimadhye, bhinnatechya vishleshanasathi prayogik rachanechya siddhantat, sanlagn yojanancha siddhant udayas aala. ganitamadhye, sanlagn yojana bijganit aanee sanyojanashastra yaa donhinshi sambandhit aahet. bijganitiy sanyojanamadhye, sanlagn yojana anek vishayanna eka ekikrut drushtikon pradan karatat, udaharanarth sanyojanatmak rachana aanee truti-sudharanechya sanketancha siddhant. bijganitemadhye, sanghatana yojana gatanche samanyikaran karatat aanee sanghatana yojanancha siddhant gatanchya rekheey pratinidhitvanchya varn siddhantala samanya karato.
vyakhya.
aine"-varg sanlagnata yojnet "ex" chaa sanch aanee "ex" × "ex" chya "ess" chya "aine" + 1 dwaiti sambandhanmadhye, "aar" 0 ", aar" 1, yaa vibhajanasah eka sanch asato..., aar" aine "jeey samadhankarak aaheh
jarr serve sutransathi sootra 13, sootra 9 aanee sootra 10. tarr association yojana 'parivartaneey' asate. bahutek lekhak haah gunadharm gruheet dharatat.
samamiteey" sanlagnata yojana hii ashee aahe jyamadhye pratyek sootra _ 17 haah samamiteey sambandh aahe. teey asey aaheh
pratyek samamiteey sanlagnata yojana parivartaneey asate.
tathapi, lakshat ghya qee sanghatana yojanechi kalpana gatachya kalpanela samanya karate, tarr parivartanatmak sanghatana yojanechi kalpana keval parivartaneey gatachya kalpanela samanya karate.
sootra 18 asalyas 'x' aanee 'y' yaa done bindunna 'i' th sahyogi mhanatat. vyakhya sangate qee jarr 'x' aanee 'y' heey 'i' th sahyogi asateel tarr 'y' aanee 'x' dekhil aahet. gunanchi pratyek jodee achookpane eka sutrasathi 'i' th sahyogi asate. pratyek bindu tyacha swatacha shoonya sahyogi asato tarr bhinn bindu kadhihi shoonya sahyogi nasatat. jarr "x" aanee "y" heey "k" th sahyogi asateel tarr sootra _ 20 chey guna sankhya jeey sootra _ 11 chey "i" th sahyogi aahet aanee sootra _ 12 chey "j" th sahyogi aahet teey sthir sootra _ 7 aahe.
aalekh vyakhya aanee nikatata matricks.
label kelelya kadaa asalela sampoorn aalekh mhanoon samamiteey sanlagnata yojana drishyaman kelee jaau shakate. aalekhamadhye sootra 24 shirobindu aahet, sootra 25 chya pratyek bindusathi eka, aanee sootra 11 aanee sootra 12 heey sootra 8 saha sootra asalyas shirshank sootra 11 aanee sootra 12 laa sootra 8 asey label kele jaate. pratyek kathala eka adviteey label asate aanee sootra _ 10 asey label kelele nishchit aadhar asalele trikon, jyachya itar kadaa sootra _ 8 aanee sootra _ 9 asey label kelele asatat, teey sootra _ 36 varr avalambun asate, parantu aadhar nivadivar avalambun nasate. visheshtah, pratyek shirobindu haah sootra _ 37 kadaa asalelya achook sutrasah, sootra _ 8 asey label kelele aahe; sootra _ 39 heey sambandh sootra _ 40 chee sanyojakta aahe. pratyek shirobindu sootra _ 11 varr sootra _ 41 asey label kelele loop dekhil aahet, jeey sootra _ 43 shhee sambandhit aahet.
sambandhanche varnan tyanchya nikatatechya matrixdware kele jaate. sootra _ 44 heey sootra _ 46 sathee sootra _ 40 chey sanlagnata matricks aahe aanee sootra _ 25 chya bindunni label kelelya pankti aanee stambhansah eka "v" × "v" matricks aahe.
samamiteey sanlagnata yojanechi vyakhya hii asey mhananyaitakich aahe qee sootra _ 44 heey "v" × "v" (0,1)-matricks aahet jeey samadhan detat.
(4) chya davya bajuchi ("x", "y")-tisari nond mhanje aalekhatil "i" aanee "j" yaa labels "x" aanee "y" darmyanchya done lambichya marganchi sankhya. lakshat ghya qee _ 54 sootrachya pankti aanee stambhanmadhye _ 39 sootra _ 56 chey sootra aaheh
itihas.
sanghatana yojana' haah shabd yaa karanamule aahe, parantu sankalpana tyat aadhich antarbhut aahe. heey lekhak sankhyikishastradnyanni jyala "anshatah santulit apoorn khand rachana" (pii. bii. bii. dii. ess.) mhatale aahe tyacha abhyas karat hote. boses-mesner bijganitachya prakashanasah aanee parichayasah haah vishay bijganitiy swarsyacha vishay banala. yaa siddhantatil sarvat mahattvache yogdan mhanje pii. chaa prabandh. delsart, jyanni coding siddhant aanee rachana siddhant yanchyashi asalele sambandh olakhale aanee tyancha purnapane vapar keela. dii. yanni samanyikaranancha abhyas keela aahe. jee. uchchaman (susangat sanrachana) aanee buub. weisfieller (antar niyamit aalekh).
boses-mesner bijganit.
aalekh sootra 69 chey sanlagnata matricks sootra _ 44 matricks utpadan aanee binduvar utpadan yaa donhisathi eka parivartaneey aanee sahyogi bijganit sootra _ 70 (vastavik kinwa jatil sankhyanvar) tayar karate. yaa sahyogi, parivartaneey bijganitala sanghatana yojanecha boses-mesner bijganit mhanatat.
sootra _ 70 madheel matricks samamiteey asalyane aanee ekmekanshi pravas karat asalyane, teey ekach velee karnabaddh kele jaau shakatat. mhanoon, sootra _ 70 heey ardh-sope aahe aanee tyat adim idempotents sootra _ 73 chaa eka adviteey aadhar aahe.
sootra _ 74 matrixcha aanakhi eka bijganit aahe joou sootra _ 70 chya samaroop aahe aanee anekada kaam karane sope aahe.
coding siddhant.
shastriy coding siddhantat hamming yojana aanee johnson yojana yanna mothe mahatva aahe.
coding siddhantamadhye, association skiim siddhant pramukhyane kodachya antarashi sambandhit aahe. rekheey programming paddhat dilelya kiman antarasah kodachya aakarasathi varchya seema aanee dilelya samarthyasah designchya aakarasathi khalchya seema tayar karate. sarvat vishisht parinam asha paristhitit prapt hotat jethe antarnihit sanlagnata yojana kahee bahupadi gunadharmanche samadhan karate; heey eka orthogonal bahupadanchya kshetrat gheuun jaate. visheshtah, bahupadi-prakarchya sanlagn yojnanmadhil sanket aanee rachana yasathi kahee sarvatrik seema kadhalya jaatat.
shastriy coding siddhantat, hamming skimmadhil sanketanshi sambandhit, mcvilliums transformmadhe crotchouk bahupadi mhanoon olakhalya jaanarya orthogonal bahupadiche eka kutumb samavisht aahe. hii bahupadi hamming yojanechya antar sambandh matrixchi eigen moolye detat.

