mishrit logg-inn

mishrit loggit asatat vikalpon kii jaanch key liye ack poori tarah seey samanya saankhyikiya model haye. yeh chayankartaon mein yaadrichhik swaad bhinnata, vikalpon mein apratibandhit pratisthaapan pattern aur samay key saath gair-avalokan karakon mein sahsambandh kii anumati dekar maanak loggit model kii teen mahatvapurna seemaon koo paar kartaa haye. mishrit loggit yaadrichhik gunank key liye kissy bhee vitaran sootra _ 1 koo chuna sakata haye, probit key vipareet joe samanya vitaran taka seemit haye. ise "mishrit loggit" kahaa jaataa haye kyonki vikalp kii sambhavana loggit kaa mishran haye, jisamen mishran vitaran key roop mein sootra _ 1 haye. yeh dikhaaya gayaa haye kii ack mishrit loggit model charr aur gunank vitaran key uchit vinirdesh koo dekhate hue, asatat vikalp key kissy bhee vaastavik yaadrichhik upayogita model kii sateekta kii kissy bhee degree kaa anuman lagaa sakata haye.
yaadrichhik swaad bhinnata.
maanak loggit model key "swaad" gunank, yaa sootra _ 3, nishchit hain, jiska arth haye kii sootra _ 3 sabhi key liye samaan hain. mishrit loggit mein pratyek vyakti key liye alag-alag sootra _ 3 hotey hain (i.ee.pratyek nirnay nirmaata.)
maanak loggit model mein, vaikalpik sootra _ 7 key liye vyakti sootra _ 6 kii upayogita haih
key saath
mishrit loggit model key liye, iss vinirdesh koo sootra _ 10 koo yaadrichhik honey kii anumati dekar saamaanyikrit kiya jaataa haye. mishrit loggit model mein vaikalpik sootra _ 12 key liye vyakti sootra _ 11 kii upayogita haih
key saath
jahan "θ" jansankhya parr sootra _ 10 key vitaran key mapdand hain, jaise kii sootra _ 10 kaa maadhya aur bhinnata.
sootra _ 18 parr sashart, sambhavana haye kii vyakti sootra _ 6 vaikalpik sootra _ 12 chunata haye, maanak loggit sootra haih
haalaanki, choonki sootra _ 18 yaadrichhik haye aur gyaat naheen haye, isaliye (binaa shart) vikalp sambhavana sootra _ 18 key ghanatva parr iss loggit sootra kaa abhinn anga haye.
iss model koo yaadrichhik gunank loggit model bhee kahaa jaataa haye kyonki sootra _ 25 ack yaadrichhik charr haye. yeh upayogita kii dhalanon kii anumati detaa haye (i.ee., seemant upayogita) yaadrichhik honey key liye, joe yaadrichhik prabhaav model kaa ack vistaar haye jahaan kewal avarodhan yaadrichhik thaa.
jansankhya mein gunank key vitaran key liye kissy bhee sambhaavyata ghanatva kaary koo nirdisht kiya jaa sakata haye, i.ee.sootra _ 26 key liye, sabse vyaapak roop seey upayog kiya jaane vaalaa vitaran samanya haye, mukhya roop seey isaki sadgi key liye. una gunankon key liye joe sabhi logon key liye ack hii sanket lete hain, jaise kii ack moolya gunank joe aavashyak roop seey nakaratmak haye yaa ack vaanchhaniya visheshta kaa gunank, shoonya key kewal ack taraf samarthan key saath vitaran, jaise lognormal, kaa upayog kiya jaataa haye. jaba gunank taarkik roop seey aseemit roop seey badey yaa chhote naheen hoe sakate hain, tou aksar baadhya vitaran kaa upayog kiya jaataa haye, jaise kii sootra _ 27 yaa trikoniya vitaran.
apratibandhit pratisthaapan pattern.
mishrit loggit model samanya pratisthaapan pattern kaa pratinidhitva curr sakata haye kyonki yeh aprasangik vikalpon (aaee. aaee. aeye.) sampatti kii loggit kii pratibandhaatmak swatantrata koo pradarshit naheen kartaa haye. vaikalpik sootra _ 30 (sootra _ 32 key sambandh mein sootra _ 31 kii loach) key "m" th visheshta mein pratishat parivartan koo dekhate hue vaikalpik sootra _ 12 chunane kii vyakti sootra _ 6 kii binaa shart sambhavana mein pratishat parivartan haye
jahan sootra 34 sootra 3 kaa "m" th tatva haye. yeh iss sootra seey dekhaa jaa sakata haye kii sootra 31 key liye duss pratishat kii kamee kaa arth (loggit key saath) ack dusare vaikalpik sootra 37 mein duss pratishat kii kamee naheen haye. kaaran yeh haye kii saapeksh pratishat iss sashart sambhavana key beach sahsambandh parr nirbhar kartaa haye kii vyakti sootra 6 vaikalpik sootra 39 kaa chayan karega aur sashart sambhavana haye kii vyakti sootra 6 sootra 42 key vibhinn drow parr vaikalpik sootra 41 kaa chayan karega.
samay key saath gair-avalokan karakon mein sahsambandh.
maanak loggit kissy bhee aise gair-avalokan karakon koo dhyaan mein naheen rakhta haye joe kissy diye gaye nirnay nirmaata key liye samay key saath baney rahate hain. yadi aap panel detta kaa upayog curr rahey hain, joe samay key saath baar-baar vikalpon kaa pratinidhitva kartaa haye, tou yeh ack samasya hoe sakati haye. panel detta parr ack maanak loggit model lagu karke aap yeh dhaarana banaa rahey hain kii kissy vyakti kii pasand koo prabhaavit karane vaale gair-avalokan kaarak harr baar jaba vyakti chayan kartaa haye tou nae hotey hain. yeh ack bahut hii asambhav dhaarana haye. yaadrichhik swaad bhinnata aur samay key saath gair-avalokan karakon mein sahsambandh donon koo dhyaan mein rakhane key liye, samay t parr vaikalpik i key liye uttardaataa n kii upayogita nimnanusar nirdisht kii gaee haih
jahan sadasyata tii samay ayam haye. humm abhee bhee logg-inn dhaarana banaate hain joe kii sootra _ 44 i haye.aaee.dee charam moolya. iska matlab haye kii sootra _ 44 samay, logon aur vikalpon key saath swatantra haye. sootra _ 44 anivarya roop seey sirf safed shore haye. haalaanki, samay key saath aur vikalpon parr sahsambandh sootra _ 3 key samanya prabhaav seey utpann hotaa haye, joe pratyek samay avadhi aur pratyek vikalp mein upayogita mein pravesh kartaa haye.
sahsambandh kii spasht roop seey jaanch karane key liye, yeh maan lein kii "β" samanya roop seey maadhya sootra _ 48 aur bhinnata sootra _ 49 key saath vitarit kiye jaate hain. phir upayogita sameekaran bunn jaataa haih
aur "η" maanak samanya ghanatva seey ack drow haye. punah vyavasthit karate hue, sameekaran bunn jaataa haih
jahan anirdhaarit karakon koo sootra 53 mein ekatra kiya jaataa haye, sootra 54 samay key saath swatantra haye, aur sootra 55 samay yaa vikalpon key saath swatantra naheen haye.
taba vikalp sootra _ 56 aur sootra _ 57 key beach sahprasaran haye,
aur samay sootra _ 59 aur sootra _ 60 key beach sahprasaran haye
x koo uchit roop seey nirdisht karke, samay aur vikalpon key saath sahprasaran kaa koee bhee pattern praapt kiya jaa sakata haye.
sootra _ 10 parr sashart, ack vyakti dwara vikalpon key anukram kii sambhavana kewal usa vyakti dwara pratyek vyaktigat pasand kii logg-inn sambhavana kaa utpaad haih
kyonki sootra _ 64 samay key saath swatantra haye. phir vikalpon key anukram kii (binaa shart) sambhavana sootra _ 3 key ghanatva parr loggots key iss utpaad kaa abhinn anga haye.
anukaran.
durbhagya seey samakalan key liye koee bund roop naheen haye joe vikalp sambhavana mein pravesh kartaa haye, aur isaliye shodhkarta koo pn kaa anukaran karna chaahiye. saubhagya seey shodhkarta key liye, pn kaa anukaran karna bahut saral hoe sakata haye. chaar buniyaadi charanon kaa paalan karna haye
1. sambhavana ghanatva falan seey ack drow lein jise aapane 'swaad' gunank key liye nirdisht kiya haye. yaani, formula _ 67 seey ack drow lein aur formula _ 69 key liye drow formula _ 68 koo label karein, joe pahale drow kaa pratinidhitva kartaa haye.
2. sootra _ 70 kii ganana karein. (sashart sambhaavyata.)
3. sootra _ 71 key liye kaee baar doharaaen.
4. ausat parinam
phir anukaran key liye sootra nimnalikhit kii tarah dikhta haye,
sootra _ 72
jahan r vitaran seey liye gaye drow kii kull sankhya haye, aur r ack drow haye.
ack baar aisaa honey key baad aapke paas pratyek uttardaataa n key liye pratyek vikalp i kii sambhavana key liye ack moolya hoga.

