Page 3 - Bigyan Katha Mar 21
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gv©P 2021 3
gyL¨ cÖeÜ
¯^KvgR msL¨v
wPb¥q Kzgvi ‡Nvl
MÖxK ‡cŠivwYK ‡Kv_vq bvwm©kvm (Narcissus) bvg GK hye‡Ki D‡jøL Av‡Q| wZwb AZ¨šÍ mycyiæl| Avi Zvi Rb¨ Zvui G‡ZvB AnsKvi, ‡h wZwb N›Uvi ci N›Uv
m‡ive‡i wb‡Ri cÖwZwe‡¤^i w`‡K ‡P‡q _vK‡Zb| GK K_vq wb‡Ri cÖwZwe¤^‡K wZwb fv‡jvev‡m ‡d‡jwQ‡jb| Avi Zvi ‡_‡K Ôbvwm©wkmg&Õ (Narcissism) k‡ãi DrcwË| Gi A_© n‡jv wb‡Ri kvixwiK MVb
I ‡mŠ›`h¨© m¤^‡Ü AwZgvÎvq Drmvn I D”P aviYv ‡cvlY Kiv|
GB k‡ãi we‡kl e¨envi g‡bvweÁv‡bi RM‡Z cvIqv hvq| MÖxK ‡cŠivwYK Kvwnbx‡K ¯§iY ‡i‡L Narcissism-Gi cwifvlv Ô¯^KvgÕ ev ÔAvZ¥iwZÕ Avi Narcissistic n‡jv Ô¯^KvgxÕ ev Ô¯^KvgRÕ|
‡ivgvb mgavU AvM÷vm-Gi mgmvgwqK Kwe cvewjqvm Iwf`vm bv‡mv (Publius Ovidus Naso) ev Iwf` (Ovid)-Gi iPbvq Av‡Q ‡h GKevi bvwm©mvm g„Mqvq ‡ei n‡q‡Qb| ZLb B‡Kv (Echo), hvi bvg _v‡K Bs‡iwR kã ÔEchoÕ ev ÔcÖwZaŸwbÕ-i m~ÎcvZ, bvwm©kvm‡K AbymiY K‡ib Ges ‡cÖg wb‡e`b K‡ib| wKš‘ B‡Kvi Ici RywcUvi (Jupiter) ev wRDm (Jeus)-Gi ¯¿x Ry‡bv (Juno) ev ‡niv (Hera)-i Awfkvc wQj| Ry‡bv Zvi ¯^vgx RywcUv‡ii eûbvixm1⁄2 m¤ú‡K© DË3 Ges wei3 wQ‡jb| hLbB wZwb Zvui ¯^vgx‡K ‡Riv K‡i Zvui `v¤úZ¨ wek^vmNvZKZv m¤ú‡K© ‡KvbVvmv K‡i ‡dj‡Zb, ZLbB B‡Kv Zvu‡`i K‡_vcK_b‡K evievi cybive„wË K‡i Zvu‡`i wewÿß Ki‡Zb| ‡mRb¨ GB Awfkvc hvi d‡j B‡Kv KL‡bvB ‡cÖ‡g mdj n‡eb bv|
bvwm©kvmI B‡Kvi cÖwZ AvK...ó nb Ges GKmgq Zvui mnPi‡`i ‡_‡K wb‡R‡K Avjv`v K‡i B‡Kvi cÖwZ wPrKvi K‡i e‡jb, ÒZywg ‡Kv_vq? Kv‡Q Gm|Ó B‡Kv Kv‡Q Av‡m bv, evi evi bvwm©kv‡mi wb‡Ri K_v cÖwZaŸwb n‡q Zvui Kv‡Q wd‡i Av‡m, ÒZzwg ‡Kv_vq? Kv‡Q Gm|Ó GB kã‡K B‡Kvi ‡cÖg wewbgq g‡b K‡i ‡mB kã‡K AbymiY K‡i wZwb ‡`Š‡ov‡Z _v‡Kb, wKš‘ Zv‡Z ‡Kv‡bv dj nq bv, Zvui wb‡Ri kãB evievi Zvui Kv‡Q wd‡i Av‡m| bvwm©kvm ZeyI
g‡b K‡ib B‡Kv Zvui Wv‡K mviv w`‡”Qb| wZwb wPrKvi K‡i e‡jb, ÒGw`‡K Gm, Avgiv wgwjZ nB|Ó cÖwZaŸwb nq, ÒAvgiv wgwjZ nB|Ó wKš‘ Ry‡bvi Awfkv‡ci d‡j evwÃZ wgjb nq bv|
Gi ci e¨_© ‡cÖwgK bvwm©kvm‡K GK ATM¢yZ Db¥v`bv MÖvm Ki‡jv| wZwb wb‡Ri kixi‡K fv‡jv‡e‡m ‡dj‡jb Ges ïiæ n‡jv m‡ive‡i wb‡Ri cÖwZwe¤^ ‡`‡L AvZ¥Z...wß jvf Kiv| hLb Zvui giY Avmbœ, wZwb ‡klev‡ii g‡Zv Zvui cÖwZwe‡¤^i w`‡K ‡P‡q ej‡jb, ÒI‡n my›`i evjK, Avwg e„_vB ‡Zvgv‡K fv‡jvevmjvg, Gevi we`vq|Ó B‡KvI m‡1⁄2 m‡1⁄2 ej‡jb, ÒGevi we`vq|Ó
GB DcvL¨vb ‡_‡KB Ôbvwm©wmw÷KÕ (Narcissistic) ev Ô¯^KvgRÕ we‡kl‡Yi cÖPjb| Gevi ‡`Lv hvK msL¨vi RM‡Z GB we‡kl‡bi AbycÖ‡ek wKfv‡e NU‡jv|
AvgivGKwUwe‡klmsL¨v153-iD`vniYwb‡qAv‡jvPbvïiæKi‡ev| 153 = 1 + 125 + 27 = 1×1×1 + 5×5×5 + 3×3×3
= 13 + 53 + 33
A_©vr, 153-‡K Avgiv wZbwU Nbd‡ji mgwó wnmv‡e cÖKvk
wZb| GB Nbdj¸wji mgwó‡Z 1, 5 Ges 3 ‡K Avgiv ‡mB μgvš^‡qB ‡c‡qwQ ‡hfv‡e Zviv g~j msL¨vq Av‡Q| myZivs ejv ‡h‡Z cv‡i ‡h Nbd‡ji mgwói g‡a¨ w`‡q 153 Zvui cÖwZwe¤^ ‡`L‡Z cvq| GB ai‡Yi wZbwU Av‡iv wZb-As‡Ki msL¨v Av‡Q, 370, 371 Ges 407| ciL K‡i ‡`Lv ‡h‡Z cv‡i ‡h,
370 = 27 + 343 + 0 = 33 + 73 + 03
371 = 27 + 343 + 1 = 33 + 73 + 13
407 = 64 + 0 + 343 = 43 + 03 + 73
A_v© r 153, 370, 371, 407 Ô¯K^ vgR msL¨vÕ ev Narcissistic
Numbers| G‡`i Plus Perfect Digital Invariant (PPDE) ev Plus Perfect Number (PPN) ev Amstrong Number-I ejv nq|
G¸‡jv meB Ô`k-gj~ (Base-10) msL¨v| ¯K^ vgR msL¨v Ab¨vb¨ Ôgj~ Õ- GI m¤¢e| D`vniY ¯i^ ƒc Ô17Õ-‡K wbgjœ wLZfv‡eI cKÖ vk Ki‡Z cvwiÑ
9+6+2
= 1×32 + 2×31 + 2×30
A_©vr, ÔwZbÕ-g~‡j Ô17Õ n‡q hv‡e Ô122Õ, Gevi
17 = 1 + 8 + 8
myZivs (17) = (122) = 13 + 23 + 32 10 3
AZGe, ÔwZbÕ-g~‡j Ô17Õ GKwU ¯^KvgR msL¨v|
Ghver hZ D`vniY Avgiv ‡`Ljvg, me ‡ÿ‡ÎB As‡Ki msL¨v I Nv‡Zi g‡a¨ ‡Kv‡bv cv_©K¨ ‡bB| GB evav _v‡K gy3 n‡Z cvi‡j Av‡iv wKQy wPËvKl©K msL¨v Avgiv cv‡ev| ‡hgb,
135 = 1 + 9 + 125 = 11 + 32 + 53
3435 = 27 + 256 + 27 + 3125 = 33 + 44 + 33 + 55
4150 = 1024 + 1 + 3125 + 0 = 45 + 15 + 55 + 05
GB ai‡Yi msL¨v‡K Perfect Digital Invariant (PDI) ejv nq|
Giv ¯^KvgR bq|
Ô`kÕ-g‡~ji¯K^ vgRmsL¨v¸wj‡KAv‡ivGKevi¯§iYK‡i‡bIqvhvK| GK As‡Ki ‡h ‡Kv‡bv msL¨v, ‡hgb 4‡K Avgiv 41 wnmv‡e cÖKvk
Ki‡Z cvwi| A_©vr, 4 ¯^KvgR| LyeB ¯^vfvweK ‡h cÖ‡Z¨K GK As‡Ki msL¨vÑ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9 ¯^KvgR|
Ki‡Z ‡c‡iwQ| Nbdj A_©vr NvZ-wZb-Gi msL¨vi As‡Ki msL¨vI
`yB As‡Ki ‡Kv‡bv ¯^KvgR msL¨v ‡bB|
cÂg c„ôvq `Öóe¨|
