
ishtatam anuman

lagu saankhyiki mein, ishtatam anuman ack niyamit matricks vyutkram vidhi haye joe beyas pramey parr adharit haye.
iska upayog aamtaur parr bhoovigyaan mein kiya jaataa haye, vishesh roop seey vayumandaliya dhwani key liye.
ack matricks vyutkram samasya iss tarah dikhati haih
aavashyak avadharana matricks, aeye, koo ack sashart sambhavana mein badalana haye aur sootra _ 2 aur sootra _ 3 koo gausi saankhyiki maanate hue aur anubhavjanya roop seey nirdhaarit sahprasaran matricks kaa upayog karke sambhavana vitaran mein badalana haye.
vyutpatti.
aam taur parr, adhikansh maapon key aankade gausi honey kii ummeed kii jaati haye. tou udaaharan key liye sootra _ 4 key liye, humm likh sakate hainh
jahan "m" aur "n" sootra _ 2 aur sootra _ 3 mein tatvon kii sankhyaaen hain, kramshah sootra _ 8 hull kiya jaane vaalaa matricks haye (raikhik yaa raikhik agra model) aur sootra _ 9 vector sootra _ 3 kaa sahprasaran matricks haye. yeh sootra _ 2 key liye isi tarah kiya jaa sakata haih
yahaan sootra _ 13 koo tathaakathit "aeye-priyori" vitaran key roop mein liya gayaa haih sootra _ 14 sootra _ 15 key liye aeye-priyori moolyon koo darshaata haye jabaki sootra _ 16 iska sahprasaran matricks haye.
gausi vitaran key baare mein achchi baat yeh haye kii unakaa varnan karane key liye kewal dou maapdandon kii aavashyakta hoti haye aur isaliye poori samasya koo ack baar phir seey matricks mein parivartit kiya jaa sakata haye. yeh maanate hue kii sootra _ 17 nimnalikhit roop letaa haih
sootra _ 19 koo upekshit kiya jaa sakata haye kyonki sootra _ 2 key diye gaye moolya key liye, yeh kewal ack sthir scaling shabd haye. abb sootra _ 2, sootra _ 22, aur isake sahprasaran matricks key liye donon key liye sootra _ 17 aur sootra _ 24 key barabar karke hull karna sambhav haye. yeh nimnalikhit samikaranon kaa utpaadan kartaa haih
kyonki humm gausian kaa upayog curr rahey hain, apekshit moolya adhikatam sambhaavit moolya key barabar haye, aur isaliye yeh bhee adhikatam sambhavana anuman kaa ack roop haye.
aam taur parr ishtatam anuman key saath, punarpraapt maatraon key sadish key alawa, ack atirikt matricks koo sahprasaran matricks key saath vaapas kiya jaataa haye. ise kabhi-kabhi resolution matricks yaa ausat kernell kahaa jaataa haye aur isaki ganana nimnanusar kii jaati haih
yeh hamein bataata haye kii punarpraapt sadish key diye gaye tatva key liye, sadish key anya tatvon mein seey kitna mishrit haye. profile jaankaari key punarpraapti key mamle mein, yeh vishisht roop seey dee gaee oonchaai key liye oonchaai key sankalp koo ingit kartaa haye. udaaharan key liye yadi sabhi oonchaai key liye sankalp vactor mein unake chaar nikatatam padosiyon mein gair-shoonya tatva (ack sankhyaatmak sahishnuta key liye) hotey hain, tou oonchaai sankalp vaastavik grid aakar kaa kewal ack chauthai hotaa haye.

