shaktichi sahsambandhata

ganitamadhye, visheshtah amoort bijganitemadhye, shakti sahsambandh haah dwaiti kriyancha eka gunadharm aahe joou sahsambandhatecha kamkuvat prakar aahe.
vyakhya.
jarr konatyahi ghatakane nirman kelela up-bijganit sahyogi asel tarr bijganit (kinwa adhik samanyatah magma) haah shakti-sambandhit manla jaato. thospane, yacha arth assa aahe qee jarr ghatak sootra _ 1 heey swatahun operation sootra _ 2 anek vela kele gele tarr operation konatya kramane kele jaatat yane kahee farak padat nahee, mhanoon udaharanarth sootra _ 3.
udaharane aanee gunadharm.
pratyek sahyogi bijganit heey shakti-sambandhit asate, parantu itar serve paryayi algebra (octoniansarkhe, jeey gair-sambandhit asatat) aanee agadi sedenians aanee okubo algebra sarkhya kahee gair-paryayi algebra dekhil aahet. konatehi bijganit, jyache ghatak saksham aahet, teey dekhil shakti-sambandhit asatat.
jevha gunakar haah shakti-sambandhit asato tevha konatyahi sakaratmak purnankachya shaktiche ghatank satatyane paribhashit kele jaau shakatat. udaharanarth, 'x' 3 chee vyakhya ('XX') 'x' mhanoon kelee pahije qee 'x' ('XX') mhanoon kelee pahije heey vegale karanyachi garaj nahee, kaaran heey samaan aahet. jarr operationmadhye olakh ghatak asel tarr shoonyachya shaktiche ghatank dekhil paribhashit kele jaau shakatat, tyamule olakh ghatakanche astitva shakti-sambandhit sandarbhat upayukt aahe.
0 yaa vaishishtyapurn kshetravar, bijganit heey shakti-sambandhit asate, jarr aanee teey sootra 4 aanee sootra 5 chey samadhan karate, jethe sootra 6 haah sahyogi aahe (albert 1948).
mukhya vaishishtyapurn sootra _ 7 chya anant kshetravar shakti-sahasanvadache vaishishtya darshavinara olakhincha konatahi maryadit sanch nahee, parantu genov (1970) dware varnan kelyapramane anant swatantra sanch aaheth
paryay kayada vastavik shakti-sambandhit algebrassathi ekkasah asato, joou mulat assa dawa karato qee bahupadicha gunakar apekshepramane karya karato. x" madheel vastavik bahupadisathi "f" sathee aanee asha bijganitetil konatyahi "a" sathee "a" chya "f" madhye spasht badalamule udbhavnara "f" ("a") haah bijganitacha ghatak asalyache paribhashit qaraa. mug asha konatyahi done bahupadi "f" aanee "g" sathee, aamchyakade teey aahe.

