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kzmKXw
Nn{Xw nco-£n-¡p-I.
n, f, λ F¶nh X½n-epÅ _Ôw 
Xcw-K-¯n-sâbpw Bhy-¯n-bp-tSbpw 
Xcw-K-ssZÀLy-¯n-sâbpw KpW--^-e-amWv 
{ ]thKw. 
DZml-cWw n= f λ 
Xcw-KssZÀLyw Iq«n-bm { ]thKw 
Iq«q-¶p. Bhy¯n IqSn-bm { ]thKw 
Iq«q-¶p.
imkv{X-Ú-·mcpw aqeI§fpw 
imkv{X-Ú³ aqeIw {]XnIw 
]nbdn Iypdn,-tacn 
Iypdn 
Iypdnbw Cm 
F³{Sn-tIm-s^mÀan s^Àanbw- Fm 
Unan{Sn sa³U-eohv sa³U-en-hnbw Md 
BÂ_À«v sF³Ìo³ sF³Ìo-nbw Es 
Uot_mÀKv t_mÀKnbw Sg 
oÂkv t_mÀ t_mdnbw Bh 
KmsUmen³ KmtUm-en-nbw Gd
cmPy-§Ä / Øe-§-fp-ambn _Ô-s¸« 
aqe-I-§Ä 
cmPyw / Øew aqe-I-¯nsâ t]cv {]XnIw 
Ata-cn¡ Ata-cn¡ Am 
bqtdm¸v bptdm¸nbw Eu 
¹män-tm-sUÂ ^ntm F¶ Zn ¹mänw Pt 
kvtImÀ«vem-sânse 
kvt{Sm¬jyw Sr 
kvt{Sm¬jnb 
`qan-bpsS maw sSÃkv sSeq-dnbw Te
Bäw 
Hcp aqe-I-¯nsâ FÃm KpW-§fpw 
{ ]ZÀin-¸n-¡p¶ AXnsâ Gähpw 
sNdnb IW-amWv Bäw
UmÄ«sâ AWp-kn-²m´w 
•FÃm {Zhy-§fpw nÀ½n-¨n-cn-¡p-¶Xv ‘Bä-§Ä’ 
F¶p hnfn-¡p¶ sNdp-I-W-§Ä sIm­mWv. 
•cmk-{ ]-hÀ¯--¯n GÀs¸-Sm³ Ign-bp¶ Gähpw 
sNdnb IWnI-bmWv Bäw 
•Hcp aqe-I-¯nsâ FÃm Bä-§Ä¡pw Htc KpW-am- 
Wp-ÅXv AXm-bXv Htc `mcw, hep-¸w, kz`m-h- 
§Ä. 
•hyXykvX aqe-I-§-fpsS Bä-§Ä¡v hyXykvX kz`m-h- 
ap-Å-Xm-bn-cn-¡pw. 
•Bä-§sf nÀ½n-¡p-hmtm in-¸n-¡p-hmtm km[y-a-Ã.
Rainbow
Rainbow
Rainbow

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Rainbow

  • 3. n, f, λ F¶nh X½n-epÅ _Ôw Xcw-K-¯n-sâbpw Bhy-¯n-bp-tSbpw Xcw-K-ssZÀLy-¯n-sâbpw KpW--^-e-amWv { ]thKw. DZml-cWw n= f λ Xcw-KssZÀLyw Iq«n-bm { ]thKw Iq«q-¶p. Bhy¯n IqSn-bm { ]thKw Iq«q-¶p.
  • 4. imkv{X-Ú-·mcpw aqeI§fpw imkv{X-Ú³ aqeIw {]XnIw ]nbdn Iypdn,-tacn Iypdn Iypdnbw Cm F³{Sn-tIm-s^mÀan s^Àanbw- Fm Unan{Sn sa³U-eohv sa³U-en-hnbw Md BÂ_À«v sF³Ìo³ sF³Ìo-nbw Es Uot_mÀKv t_mÀKnbw Sg oÂkv t_mÀ t_mdnbw Bh KmsUmen³ KmtUm-en-nbw Gd
  • 5. cmPy-§Ä / Øe-§-fp-ambn _Ô-s¸« aqe-I-§Ä cmPyw / Øew aqe-I-¯nsâ t]cv {]XnIw Ata-cn¡ Ata-cn¡ Am bqtdm¸v bptdm¸nbw Eu ¹män-tm-sU ^ntm F¶ Zn ¹mänw Pt kvtImÀ«vem-sânse kvt{Sm¬jyw Sr kvt{Sm¬jnb `qan-bpsS maw sSÃkv sSeq-dnbw Te
  • 6. Bäw Hcp aqe-I-¯nsâ FÃm KpW-§fpw { ]ZÀin-¸n-¡p¶ AXnsâ Gähpw sNdnb IW-amWv Bäw
  • 7. UmÄ«sâ AWp-kn-²m´w •FÃm {Zhy-§fpw nÀ½n-¨n-cn-¡p-¶Xv ‘Bä-§Ä’ F¶p hnfn-¡p¶ sNdp-I-W-§Ä sIm­mWv. •cmk-{ ]-hÀ¯--¯n GÀs¸-Sm³ Ign-bp¶ Gähpw sNdnb IWnI-bmWv Bäw •Hcp aqe-I-¯nsâ FÃm Bä-§Ä¡pw Htc KpW-am- Wp-ÅXv AXm-bXv Htc `mcw, hep-¸w, kz`m-h- §Ä. •hyXykvX aqe-I-§-fpsS Bä-§Ä¡v hyXykvX kz`m-h- ap-Å-Xm-bn-cn-¡pw. •Bä-§sf nÀ½n-¡p-hmtm in-¸n-¡p-hmtm km[y-a-Ã.