
daaton kaa vitaran

-e ^ {\tfrac {iat} {n}}} {(b-a) t} \rite) ^ n </math> 
sambhavana aur vyaavsaayik aankadon mein, grace bett key naam parr naamit bett vitaran, ikai antaral parr saankhyikiya roop seey swatantra roop seey vitarit yaadrichhik charon kii sankhya key ausat kaa ack sambhavana vitaran haye. yeh vitaran vardi, trikoniya aur samanya gausi vitaran seey sambandhit haye, aur sanket vriddhi key liye prasaran engineering mein anuprayog hain. bett vitaran koo kabhi-kabhi irvin-holl vitaran key saath bhramit kiya jaataa haye, joe kii "aine" swatantra yaadrichhik charr key yog (ausat naheen) kaa vitaran haye joe 0 seey 1 taka samaan roop seey vitarit kiya jaataa haye. iss prakaar, donon vitaran kewal ack dusare key "sanskaran" hain kyonki way kewal paimaane mein bhinn hotey hain.
paribhasha.
bett vitaran, ikai antaral parr "yuu. key", "aine" swatantra, samaan roop seey vitarit, yaadrichhik charr key maadhya, "aiks", kaa nirantar sambhaavyata vitaran haih
ack bett vitaran yaadrichhik charr "x" key sambhaavyata ghanatva falan koo paribhaashit karane vaalaa sameekaran haye
antaral (0,1) mein "x" key liye, aur kaheen aur shoonya. yahaan sgn ("nx" − "k") sanket falan koo darshaata haih
adhik aam taur parr, antaral parr "aine" swatantra roop seey samaan roop seey vitarit yaadrichhik charr kaa maadhya ["aeye", "bee" "]
isaki sambhaavyata ghanatva falan (pee. dee. aff.) hogi.
vistaar aur anuprayog.
kuchh sanshodhanon key saath, bett vitaran mein samaan, trikoniya shamil haye aur, seema koo lete hue n anant taka jaataa haye, samanya gausi vitaran bhee. 
sootra _ 6 shabd koo pratisthaapit karate samay jaba maadhya kii ganana kii jaati haye, "x", sootra _ 7 key saath ack sthir vicharan key saath ack samaan vitaran banaayega, jaise kii ekataa. phir, maadhya koo ghataakar, vitaran kaa parinami maadhya shoonya parr nirdhaarit kiya jaayega. iss prakaar "aine" parameter vishuddh roop seey aakar-samaayojan parameter bunn jaayega. n" koo ack gair-purnank honey kii anumati dekar, ack atyadhik lachila vitaran banaaya jaa sakata haye, udaaharan key liye, "u" (0,1) + 0.5 "u" (0,1) ack samkon vitaran detaa haye.
chhaatr-tii vitaran lambi poonchh key detta key modeling key liye samanya gausi vitaran kaa ack praakritik vistaar pradaan kartaa haye. ack bett vitaran jise saamaanyikrit kiya gayaa haye jaisa kii pahale kahaa gayaa haye, short tail detta key liye usee uddeshya koo puuraa kartaa haye.
vidyut abhiyaantriki key kshetra mein beamforming aur pattern sanshleshan key liye bett vitaran kaa ack anuprayog haye. vitaran mukhya khand kii beamwidth koo badhaane key liye paaya gayaa, joe ack hii disha mein vikiran pattern key sanket mein vriddhi kaa pratinidhitva kartaa haye, jabaki saath hii saath, aamtaur parr avaanchhaniya, sidebo star koo cumm kartaa haye. 

