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8.2 cybive„wËg~jK ¸Y
‡hv‡Mi †ÿ‡Î cybive„wËg~jK c×wZ e¨envi K‡i wewfbœ iKg MYbv m¤¢e, hv c~‡e© †`Lv‡bv n‡q‡Q| ¸Y mn Ab¨vb¨
cÖwµqvi Rb¨I cybive„wËg~jK c×wZ e¨envi Kiv hvq| ¸Y cÖwµqvi cybive„wË Ki‡Z _vK‡j djvd‡ji m~PKxq
(Exponential) e„w× Lye `ªæZ N‡U, hvi MwY‡Z A‡bK e¨envi i‡q‡Q| D`nviY wn‡m‡e K¨vjKz‡jU‡i 3 †_‡K ïiæ
Kiv n‡jv|
Gici 4 Øviv ¸‡Yi cybive„wËg~jK c×wZ m~Pbv Kiv n‡jv| cÖwZevi = Pvcvi mv‡_ mv‡_ K¨vjKz‡jUi c~‡e©i
djvd‡ji mv‡_ 4 ¸Y K‡i djvdj cÖ`k©b Ki‡e|
1
1 ‡_‡K ïiæ K‡i Øviv cybive„wËg~jK ¸Y Ki‡Z _vKv nq Zvn‡j cÖvß djvdj ¸‡jv n‡e 3 Gi FYvZ¥K Nv‡Zi
3
gvb hv wb‡Pi w¯Œ‡b †`Lv‡bv n‡jv-
8.3 Abyµg
KZ¸‡jv ivwk‡K GKwU we‡kl wbq‡g Zvi c~e©c` I cic‡`i mv‡_ m¤úwK©Z K‡i mvRv‡j ivwk¸‡jvi †h †mU cvIqv
hv‡e Zv‡K Abyµg e‡j| MwY‡Z Abyµg MV‡bi Rb¨ GKwU wbw`©ó wbqg AbymiY Ki‡Z nq| mvaviYZ µgvbyhvqx
cÖ‡Z¨KwU c‡`i c‡i Ô,Õ w`‡q Abyµg cÖKvk Kiv nq| D`vniY¯^iƒc,
3, 6,9,12, … … … … ….GKwU Abyµg
Ges 3 Gi Nv‡Zi GKwU Abyµg n‡jv-
1
2
0
1, 3, 9, 27, … … … … (3 , 3 ,3 … … … … . . )
Avevi Abyµg‡K mvaviY c‡`i mvnv‡h¨ cÖKvk Kiv hvq| Dc‡i eY©bvK…Z cÖ_g D`nvi‡Yi 3, 4, 5, … . … .. mvaviY
c` n‡j = 2 + ‡hLv‡b ¯^vfvweK msL¨v|
3 Gi NvZ wewkó Abyµg‡K mvaviY c‡`i mvnv‡h¨ †jLv hvq-
= 3 , = 0, 1, 2, 3, … … …
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