vishleshanatmak ardhsamuh

ganit mein, ack vishleshanatmak ardhsamuh vishesh prakaar kaa dridhata seey nirantar ardhsamuh haye. vishleshanatmak ardhsamuhon kaa upayog aanshik avkal samikaranon key samadhan mein kiya jaataa haye; dridhata seey nirantar ardhsamuhon kii tulanaa mein, vishleshanatmak ardhsamuh praarambhik moolya samasyaon key samadhan kii behtar niyamitata pradaan karate hain, aseem janitra key gadbadi seey sambandhit behtar parinam, aur ardhsamuh key prakaar aur aseem janitra key spectrum key beach sambandh.
paribhasha.
maanaa γ ("t") = exp ("at") ack banach sthaan ("x",) parr ack dridhata seey nirantar ack-parameter ardhsamuh hoe. ..·..) aseem generator "aeye" key saath. γ koo ack vishleshanatmak ardhsamuh kahaa jaataa haye yadi
charitra varnan.
vishleshanatmak ardhsamuhon key aseem janitron mein nimnalikhit lakshan varnan hotaa haih
ack bund, ghanee paribhaashit raikhik prachaalak "a" ack banach sthaan parr "x" ack vishleshanatmak ardhsamuh kaa generator haye yadi aur kewal tabhi yadi ack "ω" ωr aisaa maujood hoe kii aadhaa-tala ree ("λ")> "ω" "a" key sankalpak sett mein nihit hoe aur isake alawa, ack sthiraank "c" aisaa haye kii
punah ("λ")> "ω" key liye aur jahan sootra _ 3 prachaalak "a" kaa sankalp haye. aise prachaalak "kshetriya" kahalaate hain. yadi aisaa haye, tou samadhan samooh mein vaastav mein roop kaa ack kshetra hotaa haye.
kuchh "δ"> 0 key liye, aur iss kshetra mein ack anuroop sankalp anuman haye. isake alawa, ardhsamuh kaa pratinidhitva kiya jaataa haye
jahan "γ" "e" − "iθ" φ seey "e" + "iθ" φ taka koee bhee vakr haye jaise kii "γ" poori tarah seey kshetra mein sthit haye.
π/& baal; 2 <"θ" <π/& baal; 2 + "δ" key saath.

