
dwipadi sankhya

ganitamadhye, visheshtah sankhya siddhantat, dwipadi sankhya haah eka purnank aahe joou done sandnya asalelya eksandh bahupadiche moolyankan karoon prapt keela jaau shakato. heey eka cunningham kramankache samanyikaran aahe.
vyakhya.
dwipadi sankhya haah done sandnya asalelya eksandh bahupadiche moolyankan karoon prapt kelela eka purnank aahe, jyala dwipadi dekhil mhanatat. yaa dvipadiche swaroop sootra _ 1 aahe, sootra _ 2 aanee sootra _ 3 saha. tathapi, sootra _ 4 nehmi sootra _ 5 neey vibhajya asalyane, nakaratmak chinhasah aavruttitun tayar jhalelya sankhyancha abhyas kartana, teey sahasa sootra _ 5 neey pratham vibhajit kele jaatat. asha prakare banalelya dwipadi sankhya lucas anukram tayar karatat. visheshatah
dwipadi sankhya heey cunningham sankhyanche samanyikaran aahe aanee heey disun yeil qee cunningham sankhya yaa dwipadi sankhya aahet jethe sootra _ 9. dwipadi sankhyanche itar upasanch mhanje mersen sankhya aanee pratikruti aahet.
ghatakatva.
yaa sankhyancha abhyas karnyache mukhya kaaran mhanje tyanchi gunankata midvane. done chaurasancha farak aanee done samghananchi berries yasarkhya sankhyechi vyakhya karnyasathi vaparlya jaanarya antarnihit bahupadila (dwipadi) ghatak mhanoon vaparoon midavalelya bijganitiy ghatakanvyatirikt, itar mukhya ghatak aahet (jyanna adim avibhajya ghatak mhanatat, kaaran dilelya sutrasathi teey sootra _ 11 laa sootra _ 12 saha ghatak mhanoon badalat naheet) jeey yadruchchikpane disun yetat aanee hetch sankhya siddhantkar shodhat aahet.
kahee dwipadi sankhyanchya antarnihit dwipadimadhye aurifulian factorization asatat, jeey mukhya ghatak shodhanyat madat karoo shakatat. cyclotomic bahupadi dekhil gunank shodhanyat upayukt aahet.
dantkatheche pramey lagoo karoon ghatak shodhanyasathi aavashyak asalelya karyache praman lakshaniyaritya qamee hote. heey pramey asey sangate qee dwipadi kramankache serve ghatak sootra 13 chey aahet jarr sootra 14 summ asel kinwa sootra 15 jarr visham asel tarr.
nirikshan.
kahee lock jevha bionomial gunank mhanatat tevha 'bionomial number' lihitat, parantu haah vapar manak nahee aanee too kalbahya aahe.