nakaratmakta samanya roop

ganitiya tark mein, ack sootra nakaratmak samanya roop (aine. aine. aff.) mein haye yadi nakaratmak prachaalak (sootra _ 1,) kewal charr parr lagu kiya jaataa haye aur kewal anya anumat booliyan prachaalak sanyojan (sootra _ 2,) aur vichhedan (sootra _ 3,) hain. 
nishedh samanya roop ack vihit roop naheen haih udaaharan key liye, sootra _ 4 aur sootra _ 5 samatulya hain, aur donon nishedh samanya roop mein hain.
shaastriya tark aur kaee model tark mein, pratyek sootra koo unaki paribhashaon dwara nihitarth aur samkakshataon koo badalkar, dee morgan key niyamon kaa upayog karke nakaratmakta koo ander kii or dhakelane aur dohare nakaratmaktaon koo samaapt karke iss roop mein laaya jaa sakata haye. iss prakriya koo nimnalikhit punarlekhan niyamon ("swachaalit tark kii pustika" 1, pee. 204):
nakaratmak samanya roop mein parivartan ack sootra key aakar koo kewal raikhik roop seey badhaa sakata haih paramanu sootron kii ghatnaaon kii sankhya samaan rahati haye, sootra _ 2 aur sootra _ 3 kii ghatnaaon kii kull sankhya aparivartit haye, aur samanya roop mein sootra _ 1 kii ghatnaaon kii sankhya mool sootra kii lambai seey bandhi hoti haye.
nakaratmak samanya roop mein ack sootra koo vitaran koo lagu karke majboot netrashleshma samanya roop yaa vichhedan samanya roop mein rakhaa jaa sakata haye. vitaransheelta kaa baar-baar upayog ack sootra key aakar koo teji seey badhaa sakata haye. shaastriya prastaavak tark mein, nakaratmakta samanya roop mein parivartan computational gunon koo prabhaavit naheen kartaa haih santoshjanak samasya aine. pee.-poorna bunny hui haye, aur vaidhata samasya saha-aine. pee.-poorna bunny hui haye. sanyugma samanya roop mein sootron key liye, vaidhata samasya bahupad samay mein hull karane yogya haye, aur vichhedan samanya roop mein sootron key liye, santoshjanakta samasya bahupad samay mein hull karane yogya haye.
udaaharan aur prati-udaaharan.
nimnalikhit sootra sabhi nakaratmak samanya roop mein hainh
pahala udaaharan bhee netrashleshma samanya roop mein haye aur antim dou netrashleshma samanya roop aur vichhedan samanya roop donon mein hain, lekin doosara udaaharan donon mein seey kissy mein naheen haye.
nimnalikhit sootra nakaratmak samanya roop mein naheen hainh
haalaanki way kramshah nakaratmak samanya roop mein nimnalikhit sootra key barabar hainh

