Page 312 - DECO403_MATHEMATICS_FOR_ECONOMISTS_HINDI

VED1
E\L-LOVELY-H\math19-1 IInd 6-8-11 IIIrd 24-1-12 IVth 21-4-12 VIth 10-9-12 VIIth 11-5-13

vFkZ'kkfL=k;ksa dk xf.kr

uksV n n
, ∑ ab , ∑ ab
jkij
ijjk
j =1 j =1
vFkkZr~ ′
dk % 2 ! ok¡ vo;o ,
′ dk % 2 ! ok¡ vo;o
∴
′ , ′
′

bl ifj.kke dks vuqowQyuh; Øe osQ fdlh Hkh la[;k osQ vkO;wgksa rd O;kid fd;k tk ldrk gS] vFkkZr~

′ ,
′ ′ ′ ′
′

uksV~l ;fn
, rc
′ ,
′
′ ,
′ blh izdkj
dh dksbZ Hkh /ukRed iw.kk±d

?kkr ysus ij
′ ,
′
19-3 fu;fer vkO;wg # * )

oxZ&vkO;wg
dks fu;fer dgsaxs ;fn ,sls vkO;wg vfLrRo esa gSa tc
, ,- tgk¡ , mlh Øe dk rRledkjh
vkO;wg gSA

D;k vki tkurs gSa tks oxZ&vkO;wg fu;fer ugha gS] mls fofp=k "
vkO;wg dgrs gSaA

ge ;g fl¼ djuk pkgsaxs fd ;fn
, , gS]
, , Hkh gksxkA vkO;wg&xq.ku osQ :i esa fl¼ djuk gksxk
fd ;fn
n
∑ ab , δ 1 !- ' , - - -
ik kj

k =1
n
∑ ab , δ 1 !- ' , - - -
rc ik ij
k =1
tks fd u osQoy lR; gS oju~ Li"V gSA

Lo&ewY;kadu

fjDr LFkkuksa dh iwfrZ djsa *
+
:
µ
;fn vkO;wg
,oa xq.ku osQ fy, vuqowQyuh; gSa] rks
dk ifjorZ mRØe ifjorks± osQ --------- osQ

cjkcj gksrk gSA
oxZ&vkO;wg
dks fu;fer dgsaxs ;fn ,sls vkO;wg vfLrRo esa gSa tc
, ] tgk¡ mlh Øe
---------
dk vkO;wg gSA
! fdlh O;qRØe.kh; vkO;wg dk izfrykse --------- gksrk gSA

$ ;fn
--------- oxZ vkO;wg gS] rc
, 4 ⇒ , 4
' ;fn

′ , rks
dks --------- vkO;wg dgrs gSaA