
kamee (ganit)

ganit mein, kamee ack abhivyakti koo saral roop mein phir seey likhane koo sandarbhit karati haye. udaaharan key liye, ack ansh koo sabse chhote poorna-sankhya bhaajak key saath ack mein phir seey likhane kii prakriya (ansh koo ack poorna sankhya rakhate hue) koo "ack ansh koo cumm karna" kahaa jaataa haye. mool prateek key tahat sabse chhoti sambhav poorna sankhya key saath ack mool (yaa "mool") abhivyakti koo phir seey likhana "mool koo cumm karna" kahaa jaataa haye. ack abhivyakti mein anya radical key neeche dikhaai dene vaale radical kii sankhya koo cumm karna denesting radical kahaa jaataa haye.
beejganit.
raikhik beejganit mein, "kamee" samikaranon yaa matricks kii ack shrinkhala koo saral roop mein badalane key liye saral niyamon koo lagu karane koo sandarbhit kartaa haye. matricks key mamle mein, prakriya mein yaa tou panktiyon yaa matricks key stambhon mein herfer karna shamil haye aur isaliye ise aamtaur parr kramshah "pankti-katauti" yaa "stambh-kamee" key roop mein sandarbhit kiya jaataa haye. aksar kamee kaa uddeshya ack matricks koo usake "pankti-cumm eachelon roop" yaa "pankti-eachelon roop" mein badalana hotaa haye; yeh gausi unmoolan kaa lakshya haye.
cullon.
cullon mein, "kamee" kaa arth haye bhaagon dwara ekikaran kii takneek kaa upayog karna taaki samakalan koo saral roopon mein ghataakar unakaa mulyankan kiya jaa sakey.
sthir (guyan) kamee.
gatishil vishleshan mein, sthir kamee swatantrata kii degree kii sankhya koo cumm karane koo sandarbhit karati haye. ack raikhik beejganitiya samasya key saralikaran koo sandarbhit karane key liye parimit tatva vishleshan mein bhee sthir kamee kaa upayog kiya jaa sakata haye. choonki ack sthir kamee key liye kaee vyutkram charanon kii aavashyakta hoti haye, yeh ack mahanga matricks operation haye aur samadhan mein kuchh truti honey kii sambhavana haye. ack fiaa samasya mein raikhik samikaranon kii nimnalikhit pranali parr vichaar karenh
jahan "k" aur "f" gyaat hain aur "k", "x" aur "f" koo upa-matrakon mein vibhajit kiya gayaa haye jaisa kii oopar dikhaaya gayaa haye. yadi "f" 2 mein kewal shoonya hain, aur kewal "x" 1 vaanchhit haye, tou samikaranon kii nimnalikhit pranali praapt karane key liye "k" koo cumm kiya jaa sakata haye.
sootra _ 3 samikaranon key samooh koo nimnanusar likhane seey praapt kiya jaataa haih
sameekaran () koo sootra _ 4 key liye hull kiya jaa sakata haye (sootra _ 5 kii vyutkramta maanate hue):
aur () mein pratisthaapit karane seey milata haye
iss prakaar
isi tarah, shoonya moolya vaale "f" kii kissy bhee pankti yaa stambh "i" koo samaapt kiya jaa sakata haye yadi "x" i "kaa sambandhit moolya vaanchhit naheen haye. ack cumm "key" koo phir seey cumm kiya jaa sakata haye. ack nott key roop mein, choonki pratyek kamee key liye ack vyutkram kii aavashyakta hoti haye, aur pratyek vyutkram computational laagat "oh" ("aine" 3) key saath ack operation haye, adhikansh badey matricks koo ganana samay koo cumm karane key liye poorv-sansaadhit kiya jaataa haye.
itihas.
9veen shatabdi mein, farsi ganitshastri all-khwarizmi key "all-jabar" ney "kamee" aur "santulan" kii maulik avadhaaranaon koo pesh kiya, joe ack sameekaran key doosari taraf ghataaye gaye shabdon key sthanantaran aur sameekaran key vipareet pakshon parr samaan shabdon key radd honey kaa ullekh kartaa haye. yeh vaha operation haye jise all-khwarizmi ney mool roop seey "all-jabar" key roop mein varnit kiya thaa. beejganit" naam unaki pustak key sheershak mein "all-jabar" seey aaya haye.

