,sjkseSfVdrk
MkW0 vpZuk ik.Ms;
,lksfl,V izksQslj Lkh0,e0ih0 dkyst
bykgkckn
,sjksek ,d xzhd Hkk"kk dk 'kCn gSA bldk vFkZ ^lqxU/k* gksrk gSA ,sls inkFkZ ftuesa ,d
izdkj dh rhoz lqxU/k gksrh Fkh]
mudks ,sjkseSfVd ;kSfxd dgrs gSaA
dkyZ 'khys
lwa?kdj ;k p[kdj fdlh inkFkZ ds ckjs esa irk
djuk&lgh rjhdk ugha gSA bl lUnHkZ esa dkyZ 'khys
uked oSKkfud dk uke ysuk vko';d gks tkrk gSA
vc ,sjkseSfVd inkFkksZa dh
ifjHkk"kk cny pqdh gSA vc csUthu ;k ,sls lHkh ;kSfxd
tks jklk;fud :i ls csUthu tSls xq.k/keZ j[krs gSa]
,sjkseSfVd ;kSfxd dgykrs gSaA s
csUthu dh lajpuk
loZizFke 1825 esa ekbdsy QsjkMs us bls [kkstk Fkk rFkk ouLifr rsyksa ds Hkatd vklou ls bls izkIr fd;k FkkA
ekbdsy QsjkMs
1945 esa gkWQeSu us bls dksyrkj ls izkIr fd;k FkkA
dsdqys lajpuk
vuqukn dk fl)kUr &
bl fl)kUr ds vuqlkj csUthu dks ,d lajpuk }kjk ugha iznf'kZr dj ldrs vr% bldks dbZ lajpukvksa }kjk fn[kkrs gSa &
gdy
fu;e bl izdkj gS &
•v.kq vFkok vk;u dks lery gksuk pkfg;sA
•v.kq ds Åij ,oa uhps &bysDVªkuksa dk pØh; es?k gksuk pkfg;sA
•pØh; fudk; ds lHkh dkcZu v.kqvksa ij ;g bysDVªku es?k QSyk gqvk gksuk pkfg;sA
•&bysDVªkuksa dh la[;k 4n+2 ds fglkc ls gksuh pkfg;s tgk¡ n dk eku 0] 1] 2]
3 --- vkfn gks ldrk gSA gdy ds fu;e dks ¼4n + 2½ dk fu;e Hkh dgrs gSaA
pØh; izksfifuy /kuk;u& ;g ,d ,sjkseSfVd vk;u gS
4n + 2 = 2 n = 0
pØh; isUVkMkbfuy _.kk;u&
4n + 2 = 6 n = 1
4n + 2 = 6
n
= 1
pØh; gsIVkVªkbfuy /kuk;u ¼Vªksfify;e vk;u½&
4n + 2 = 6
n
= 1
fo"kepØh; ;kSfxd
¶;wjs
u ikbjkW
y
Fkk;ksQhu
uS¶Fkyhu
4n + 2 = 10
4n = 8 n = 2
,UFkzklhu
4n + 2 = 14
4n = 12 n = 3
fQukuFkzhu
4n + 2 = 14
n = 3
Ronald Brislow
,UVh,sjkseSfVd ;kSfxd
4n
= 4 n = 1
pØh;izksfifu y _.kk;u
pØh;isUVkMkbfuy /kuk;u
4n = 4
n = 1
pØh;gsIVkVªkbfuy _.kk;u
4n = 8
n = 2
pØh;C;wVkMkbu
4n
= 4 n = 1
ukWu,sjkseSfVd
lkbDyksvkWDVkVsVªkbZu
¼8 bysDVªku½