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bdkbZµ28% fopyu dh eki % ekud fopyu
vr% ekè; fopyu (d) = 10.54 #i;s uksV
uksV~l ;fn ekè; fopyu] pkgs mldh x.kuk lekarj ekè;] eè;kad ;k cgqyd dks vkèkkj ekudj dh
tk,] rks ;g vko';d ugha fd gj gkyr esa lcdk mÙkj ,d gh gksxkµmÙkj ,d Hkh gks ldrk
gS vkSj vyx&vyx HkhA
28-7 [kafMr Js.kh (Discrete Series)
[kafMr Js.kh esa ekè; fopyu Kkr djus osQ fy,µ
(v) loZizFke ekè; (loky osQ vuqlkj lekarj ekè; vFkok eè;kad ;k cgqyd) dh x.kuk djuh gksxhA
(c) fiQj izR;sd in&ewY; ls ekè; (lekarj ekè; vFkok eè;kad ;k cgqyd) dk fopyu ftls fd lw=k esa
laosQrk{kj d osQ :i esa n'kkZ;k tkrk gS] ekywe djuk gksxkA
(l) blosQ ckn izR;sd in (vko`fÙk) (ftls fd lw=k esa f osQ :i esa n'kkZ;k x;k gS) rFkk mlls lacafèkr
fopyu (d) osQ xq.kuiQy (fd) dks Kkr djuk gksxkA
(n) fiQj bu leLr xq.kuiQyksa dks tksM+dj mudk ;ksx (åfd) ekywe djuk gksxkA
(;) blosQ ckn vko`fÙk;ksa (f) osQ oqQy ;ksx åf vFkok n dks Kkr djuk gksxkA
∑ f d ∑ f d
(b) var esa ∑ f vFkok n dk lw=k yxkdj ekè; fopyu dh x.kuk djuh gksxhA
iz'u gy djus osQ mijksDr fu;e fuEufyf[kr mnkgj.kksa ls vkSj Hkh Li"V gks tk;saxsµ
mnkgj.k 3- lkaf[;dh osQ oqQN fo|k£Fk;ksa us fuEu izkIrkad izkIr fd;s gSaµvki ekè; fopyu] lekarj
ekè;] eè;kad rFkk cgqyd dks vkèkkj ekurs gq, fudkfy;sA
izkIrkadµ 12 25 27 30 35 15 40 45 50 35
fo|k£Fk;kas dh la[;kµ 4 3 2 2 5 8 9 6 7 4
gyµ (i) lekarj ekè; dks vkèkkj ekudjµmijksDr iz'u dks lekarj ekè; }kjk ekè; fopyu fudkyus osQ
fy;s loZizFke lekarj ekè; dh x.kuk djuh gksxh] tks bl izdkj gksxhµ
lkj.kh 28-1
izkIrkad (x) fo|k£Fk;ksa dh la[;k (f) f. x (xq.kuiQy)
12 4 (12 × 4) = 48
25 3 (25 × 3) = 75
27 2 (27 × 2) = 54
30 2 (30 × 2) = 60
35 5 (35 × 5) = 175
15 8 (15 × 8) = 120
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