
hyper complexes vislaeshanha

ganita saastramlo, hyper complexes vislaeshanha anedi nijamaina vislaeshanha mariyu sanklishta vislaeshanha yokka praathamika podigimpu, idhi vaadana hyper complexes sankhya ayina vidhula adhyayanaaniki. modati udaaharana quaternion chararashi yokka vidhulu, ikkada vaadana oka quaternion (eee sandarbhamlo, hypercomplexes vislaeshanha yokka upa-kshetraanni quaternionic vislaeshanha antaaru). rendava sandarbhamlo, vaadanalu split-complexes sankhyalugaa unde motaru chararashi yokka vidhulu untaayi.
ganita bhouthika saastramlo, clifford algibras anie piluvabade hyper complexes vyavasthalu unnaayi. clifford beejaganitam nundi vaadanalatoe vidhula adhyayananni clifford vislaeshanha antaaru.
oka maatrikanu hyper complexes sankhyagaa pariganinchavacchu. udaaharanaku, 2x2 vaastava maatrikala yokka vidhula adhyayanam hyper complexes sankhyala sthalam yokka topology function siddhaantaanni nirnayistundani choopistundi. matricks yokka varga muulam, matricks ghaataankam mariyu matricks yokka lagarithm vanti vidhulu hyper complexes vislaeshanhaku praathamika udaaharanalu. 
vikarna maatrikala yokka function siddhaantam mukhyamgaa paaradarsakamgaa untundi endukante avi igendicompositionlanu kaligi untaayi. suutram _ 1 nuu "e" i "anedi anchanaalu anie anukundam. appudu edainaa bahupadi suutram kosam _ 2, suutram _ 3 
hyper complexes sankhyala vyavastha" kosam aadhunika paribhasha "vaastava sankhyalapai beejaganitam", mariyu anuvartanaallo upayoginche algibralu tarachugaa banach algibralu, endukante kaachii shrenulanu convergentga teesukovachhu. appudu function siddhaantam kramaalu mariyu shrenula dwara susampannam cheyabadutundi. eee sandarbhamlo sanklishta chararashi yokka holomorphic functionla podigimpu holomorphic functional calculusga abhivruddhi cheyabadutundi. banach algibras paie hyper complexes vislaeshanhanu functional vislaeshanha antaaru.

