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Ndn`rmg hd lçjltj` . e`qmndlg
NDN@RMG HD LÇJLTJ@ Rd|mhdolmg F.J GRW/ E@\Í QMLX@R NDOD\D\ LGNY@\
NDN@RMG HD LÇJLTJ@ Rd|mhdolmg F.J GRW/ E@\Í QMLX@R NDOD\D\ LGNY@\
HD\LRMYLMÜO HD D\XRTLXTRG ] LGJMHGH HD NGXDRMGJD\5 Oõndr` hd omqdjd|5
2
Xmy` hd dhmamlm`5
B
NDN@RMG HD LÇJLTJ@ Rd|mhdolmg F.J GRW/ E@\Í QMLX@R NDOD\D\ LGNY@\
GFTG5 \d hdbdrç ltmhgr dj l`oxdomh` lj`rtr`| } |tjagx`| do dj gftg wtd |d txmjmld ygrg jg agbrmlglmüo hd n`rxdr`| } l`olrdx`|* ghdnç| hd dqmxgr dj l`oxdomh` hd ngxdrmg `rfçomlg ` gjx`| l`oxdomh`| hd |üjmh`| hm|tdjx`|* }g wtd l`nõondoxd |d lj`rg dj gftg hdj |m|xdng hd |tnmom|xr`/
GLDR@ HD RDATDRU@5 Dj rdatdru` j`ofmxthmogj ` qgrmjjg| hdbdrç hdbdrç |dr l`rrtfgh` d{ldyx` d{ldyx` ygrg d|xrmb`|* |dfõo dj lg|`/ Jg| qgrmjjg| l`rrtfghg| hd rdatdru` l`o rd|m|xdolmg g jg ajtdolmg d|ydlmamlghg +a}- wtd d{ldhg j`| 8299 cfln* ytdhdo dnyjdgr|d |mdnyrd wtd +a}- |dg dj d|atdru` l`rrd|y`ohmdoxd g tog hda`rnglmüo hd 9/<4 $/ Jg ngjjg djdlxr`|`jhghg l`o rdatdru` jm|` ` l`rrtfgh` l`o tog rd|m|xdolmg +a}- ng}`r g 4999 cfln/
L@OLRDX@\5 \d hdbdrç fgrgoxmugr yrmolmygjndoxd wtd dj l`olrdx` ltnyjg l`o jg rd|m|xdolmg d|ydlmamlghg do dj yr`}dlx` } y`r l`o|dltdolmg l`o|dltdolmg |d g|dftrgrç |t htrgbmjmhgh/ Y`r j` xgox`* jg| rd|m|xdolmg| yr`ndhm`| hdj l`olrdx` l`olrdx` hdbdrço d{ldhdr |mdnyrd dj qgj`r d|ydlîamlgh` hd a”l* ygrg j` ltgj |d hdxdrnmogrç do x`h`| j`| lg|`| |t dhgh hd yrtdbg/ DHGH HD YRTDBG5
6 hîg|* hîg|* 78 hîg|* 2; hîg|/
NTR@\5
L`oamogh`| l`o lghdog| } lg|xmjj`| hd l`olrdx` grngh`* kdlk`| l`o bj`lc hd l`olrdx` jmfdr`/
Etoxg| hd n`rxdr`5
ldndox`5lgj5grdog ldndox`5lgj5grdog
Xmy` hd n`rxdr`5
Xmy` MMM
LG\XMJJ@\5
Gk`fgh`| do ntr`|* do gjfto`| lg|`| |d t|grç grnd{* qdr yjgo`| d|xrtlxtrgjd|/
Gldr` hd rdatdru` do lg|xmjj`|5 A} > 8299 cfln2
NDN@RMG HD LÇJLTJ@ Rd|mhdolmg F.J GRW/ E@\Í QMLX@R NDOD\D\ LGNY@\
LMNDOXGLMÜO D|xg |d hm|d÷ü hd gltdrh` g j`| rd|tjxgh`| yr`y`rlm`ogh`| y`r dj d|xthm` hd ndlçomlg hd |tdj`|* g|î l`n` hdj goçjm|m| hdj yr`}dlx` } hd jg d|xrtlxtrg/ d|xrtlxtrg/ Dj d|xthm` hd ndlçomlg ndlçomlg hd |tdj`| l`o|m|xmü l`o|m|xmü do < y`u`| g lmdj`| gbmdrx` gbmdrx` +YLG-* ygrg jg d{xrgllmüo hd ntd|xrg| mogjxdrghg| } gjxdrghg|* grr`egoh` jg |mf tmdoxd moa`rnglmüo5
NDN@RMG HD LÇJLTJ@ Rd|mhdolmg F.J GRW/ E@\Í QMLX@R NDOD\D\ LGNY@\ Y`r j` xgox`5 Xmy` hd lmndoxglmüo5
Nm{xg* Ugygxg| hd l`olrdx` rda`rugh` } lmnmdox`| hd ngny`|xdrîg/
Yr`atohmhgh hd hd|yjgoxd5
D|ydlmamlgh` do dj yjgo` hd lmndoxglmüo/
Gldr` hd rdatdru`5
Qgrmjjg| a} > 8299 cf ln2
Xmy` hd |tdj`5
MM
Lgyglmhgh hd lgrfg ghnm|mbjd hdj xdrrdo`5
D|ydlmamlgh` goxdrm`rndoxd do x`on2
Rdltbrmnmdox` nîomn` hd l`olrdx` d{ytd|x` gj |tdj`5
99 ln
HM\D×@ D\XRTLXTRGJ Níx`h` hd hm|d÷`5 atdrug| frgqmxglm`ogjd| } goçjm|m| |m|n`rd|mxdoxd/ Rd|m|xdolmg hdj hm|d÷`5 \`o jg| rd|m|xdolmg| o`nmogjd| lgjltjghg| ndhmgoxd jg xd`rîg fdodrgj hd jg rd|m|xdolmg hd ngxdrmgjd| } hd hm|d÷` yjç|xml` hdj l`olrdx`/ l`olrdx`/ Y`r j` wtd jg| rd|m|xdolmg| hd hm|d÷` |drço mftgjd| ` ng}`rd| g j`| dadlx`|/
NDN@RMG HD LÇJLTJ@ Rd|mhdolmg F.J GRW/ E@\Í QMLX@R NDOD\D\ LGNY@\
GOÇJM\M\ HD DJDNDOX@\ D\XRTLXTRGJD\ X`h`| j`| djdndox`| d|xrtlxtrgjd| |dgo ntr`|* l`jtnog|* xrgbd|* j`|g| } lmnmdox`| hdbdrço hmndo|m`ogr|d hd xgj a`rng wtd ltnyjgo l`o l`o jg| odld|mhghd| hdj yr`}dlx` yr`}dlx` gydfghg| gj lrmxdrm` hdj hm|d÷`* ydr` yrmolmygjndoxd |`ndxmh`| |`ndxmh`| g jg l`nbmoglmüo nç| lrîxmlg hd lgrfg| } bge` x`h`| j`| d|xgh`| y`|mbjd| hd d|atdru`| + ajd{müo* lgrfg g{mgj/ l`rxgoxd* x`r|m`ogoxd* dxl -/ Y`r j` ltgj* atdr`o gogjmugh`| hd gltdrh` g jg xd`rîg fdodrgj glxtgj hd jg rd|m|xdolmg rd|m|xdolmg hd ngxdrmgjd|* yr`y`rlm`oçoh`o`| yr`y`rlm`oçoh`o`| d|xd lrmxdrm` to ngrfdo hd |dftrmhgh do jg d|xrtlxtrg/ ]g wtd ygrg hdxdrnmogr jg rd|m|xdolmg rdwtdrmhg g ajd{müo y`r lgrfg| ntdrxg| } qmqg| |d ygrxmü hd5 Nt > 7/8 Nh # 7/6 Nj
H`ohd3
Nh > n`ndox` y`r lgrfg ntdrxg n tdrxg Nj > n`ndox` y`r lgrfg qmqg Nmdoxrg| wtd jg rd|m|xdolmg r d|m|xdolmg hd hm|d÷` |d hdxdrnmoü ntjxmyjmlgoh` ntjxmyjmlgoh` jg rd|m|xdolmg o`nmogj o`nmogj y`r dj aglx`r l`rrd|y`ohmdoxd hd rdhtllmüo hd rd|m|xdolmg/ rd|m|xdolmg/ D| l`oqdomdoxd gljgrgr gljgrgr wtd |tdjdo `ltrrmr `ltrrmr |`brdlgrfg| do j`| djdndox`| djdndox`| d|xrtlxtrgjd|* d|xrtlxtrgjd|* g|î l`n` qgrmglm`od| do j`| ngxdrmgjd| j` wtd rdydrltxmrç do jg d|xrtlxtrg/ Jg| ngfomxthd| hd jg| lgrfg| ytdhdo qgrmgr hd jg| }g |tytd|xg| l`n` l`o|dltdolmg hdj q`jtndo hd j`| djdndox`| yrmolmygjndoxd/ Jg| lgrfg| qmqg| qgrîgo l`o|mhdrgbjdndoxd l`o|mhdrgbjdndoxd l`o dj xmdny` } hd to dhmamlm` dhmamlm` g `xr`* hd ngodrg wtd |d rdl`nmdohg to l`oxr`j l`oxr`j hd lgjmhgh ghdltgh` ghdltgh` g j`| ngxdrmgjd| wtd moxdrqmdodo do jg d|xrtlxtrg d|xrtlxtrg ygrg wtd dj hm|d÷` hd jg nm|ng xrgbged hd gltdrh` gj yr`}dlx` rdgjmugh`/
NDN@RMG HD LÇJLTJ@ Rd|mhdolmg F.J GRW/ E@\Í QMLX@R NDOD\D\ LGNY@\
NGXDRMGJD\/ \d l`o|mhdrgo jg| |mftmdoxd| agxmfg| do j`| ngxdrmgjd| xdomdoh` do ltdoxg jg atolmüo grwtmxdlxüomlg do qmf`r/
NGJJG GLDR@5 Jînmxd hd ajtdolmg5
a} > 4999/99 cf ln2/
Rd|m|xdolmg g jg xdo|müo5
ax > 4699/99 cf ln2/
Gjgrfgnmdox` g jg rtyxtrg do 79 5
;$
H`bjgh` g 7;9µ |`brd dj ngohrmj5
Qdr xgbjg do j`| yjgo`| d|xrtlxtrgjd|/
Gldr` d|xrtlxtrgj5
G/\/X/N/ G “ 8<2
Jînmxd hd rtyxtrg5
41<1 cf ln2/
Jînmxd d|xçxml`5
a} > 8299 cf ln2/
Agxmfg hd xrgbge`5
a| > 2799 cf ln2/
H`bjgh` O`/ <µ O`/ 4 g =9 frgh`|5
|`brd ngohrmj5 1 # 1 HB
H`bjgh` O`/ <µ O`/ ; g =9 frgh`|5
|`brd ngohrmj5 1 # 72 hb/
L@OLRDX@5 Rd|m|xdolmg g jg l`nyrd|müo hdj l`olrdx`5
a ¸l > cf ln2/
NDN@RMG HD LÇJLTJ@ Rd|mhdolmg F.J GRW/ E@\Í QMLX@R NDOD\D\ LGNY@\
N@RXDR@\ +ygrg g|doxgr xgbmwtdXmy`5
MMM
Yr`y`rlmüo +ldndox` . grdog-
754
L`olrdx` ygrg lg|xmjj`|5
a ‛l > 749 cf ln /
2
J@\G\ XMY@5
Qmftdxg } b`qdhmjjg } Nglmug hd l`olrdx` grngh`* qdr yjgo`|/
Ydrgjxd hd odrqm` hd xdnydrgxtrg5
D{m|xd l`o ndhmhg| hd 79{29 ln/
Ydrgjxd hd b`qdhmjjg5
71 ln/
Ydrgjxd x`xgj hd j`|g5
29 ln|/
Gldr` hd rdatdru` do j`|g5
a} > 8299 cf ln2/
L`olrdx`5
a¸l > 299 Cfln2
Rdatdru` j`ofmxthmog j `ofmxthmogj5 j5
G|/nmo >
+ 9/6 a ¸la} bh -
NDN@RMG HD LÇJLTJ@ Rd|mhdolmg F.J GRW/ E@\Í QMLX@R NDOD\D\ LGNY@\
GOÇJM\M\ \Î\NML@ Do jg l`o|mhdrglmüo wtd kgld jg ljg|mamlglmüo dj rdfjgndox` hd l`o|xrtllm`od| ygrg jg Lmthgh hd Ytdbjg/ Ní{ml`/
LÇJLTJ@ HDJ NTR@ HD L@OXDOLMÜO +L@N@ NÍO\TJGQDR\M@O 7/29 2<972972 L@OA@RND G JG\ OXL.HA* NÍ[ML@
ADLKG HD LÇJLTJ@5
98.ngr.72
e`qmndlgIfngmj/l`n
HGX@\ O@NBRD HD JG QMFG → YGRRMJJG D[XDRM@R QDRXMLGJ TBMLGLMÜO HD JG QMFG → LGRG D[XDRM@R HD LM\XDROG rdltbrmnmdox`
→
gjxtrg hd jg qmfg
→
golk` hd jg qmfg
→
rd|m|xdolmg hdj l`olrdx`
→
h
>
r
>
ydrgjxd "k" b
72
< 74
>
299 299/99
>
ln ln
ln ln cfln2 cfln2
A&l > A} > 8*299/99 AGLX@R HD RDHTLLM@O G AJD[M@O Ar > 9/=9 A/ HD RDHTLLM@O G L@RXGOXD Ar > 9/;9 lgjltj` hd l`o|xgoxd| %l > 719/99 cfln2 "l > 7<1/99 cfln2 JG LGRFG NTDRXG MOLJT]D DJ YD\@ YR@YM@ HD JG QMFG LGJLTJ@ HDJ Y@RLDOXGED BGJGOLDGH@ HD GLDR@ yb > 9/9742 yb>+a"l A}- { +8;99 +1999 # A}yng{ > 9/9778< yng{>9/64{yb ynmo > 9/992<1 ynmo>+9/6 { rgmu a & l- A} LGJLTJ@ HD JG LTGOXMG HD GLDR@
Nng{
>
2*216/99 cf.n
Hd|ydegoh` w } |mftmdoh` dj yr`ldhmnmdox` g jg hdrdlkg w_2 . 2 w # 9/9972;17=6
LGRG D[XDRM@R 9
↙ k . r ↙ rdl`nmdohgo 79$ hd J ↙ rdl`nmdohgo k2
a%l>9/;9 A&l a"l>9/;4 a % l
↙
64$ hdj yb
LGJLTJ@ HDJ GLDR@ DO XDO\M@O D|xd gldr` gb|`rbdrg jg ajd{müo hd jg qmfg } |d doltdoxrg do dj jdlk` moadrm`r
G|
>
4 /7 6
ln2
HGX@\ YGRG GRNGH@ K@RMU@OXGJ D[XDRM@R T\GR QGRMJJG HD GLDR@ HDJ , 8 G| > 7/216 OÕNDR@ HD QGRMJJG\ 8 YUG\ \DYGRGLMÜO DOXRD QGRMJJG\ I 8= LN
G|>y{b{h
ln2
Ltgoh` dj $ hd gldr` `bxdomh` d| : wtd y nîo* t|gr y y`r xdnydrgxtrg Y> 9/99< ↙ $ HD GLDR@ G T\GR\D DO DJDNDOX@\ G JG MOXDNYDRMD +Y G|>y{b{h → 6/2 ln2 T\GR QGRMJJG HD GLDR@ HDJ , 8 G| > 7/216 ln2
LÇJLTJ@ HDJ NTR@ HD L@OXDOLMÜO +L@N@ NÍO\TJGQDR\M@O 7/29 2<972972 L@OA@RND G JG\ OXL.HA* NÍ[ML@
98.ngr.72
ADLKG HD LÇJLTJ@5 e`qmndlgIfngmj/l`n
HGX@\ O@NBRD HD JG QMFG → YGRRMJJG MOXDRM@R QDRXMLGJ TBMLGLMÜO HD JG QMFG → LGRG MOXDRM@R HD LM\XDROG rdltbrmnmdox` gjxtrg hd jg qmfg
→
→
golk` hd jg qmfg
→
rd|m|xdolmg hdj l`olrdx`
→
h
>
r
>
ydrgjxd "k" b
> >
77
8 74 299 299/99
ln ln
ln ln cfln2 cfln2
A&l > A} > 8*299/99 AGLX@R HD RDHTLLM@O G AJD[M@O Ar > 9/=9 A/ HD RDHTLLM@O G L@RXGOXD Ar > 9/;9 lgjltj` hd l`o|xgoxd| %l > 719/99 cfln2 "l > 7<1/99 cfln2 JG LGRFG NTDRXG MOLJT]D DJ YD\@ YR@YM@ HD JG QMFG LGJLTJ@ HDJ Y@RLDOXGED BGJGOLDGH@ HD GLDR@ yb > 9/9742 yb>+a"l A}- { +8;99 +1999 # A}yng{ > 9/9778< yng{>9/64{yb ynmo > 9/992<1 ynmo>+9/6 { rgmu a & l- A} LGJLTJ@ HD JG LTGOXMG HD GLDR@
Nng{
>
7*;<1 cf.n
Hd|ydegoh` w } |mftmdoh` dj yr`ldhmnmdox` g jg hdrdlkg
LGRG MOXDRM@R
↙ k . r ↙ rdl`nmdohgo 79$ hd J ↙ rdl`nmdohgo k2
a%l>9/;9 A&l a"l>9/;4 a % l
↙
64$ hdj yb
LGJLTJ@ HDJ GLDR@ DO XDO\M@O D|xd gldr` gb|`rbdrg jg ajd{müo hd jg qmfg } |d doltdoxrg do dj jdlk` moadrm`r
G|
>
8 /4 1
ln2
HGX@\ YGRG GRNGH@ K@RMU@OXGJ MOXDRM@R T\GR QGRMJJG HD GLDR@ HDJ , < G| > 9/67< OÕNDR@ HD QGRMJJG\ K@RMU@OXGJD\ 1 YUG\ \DYGRGLMÜO DOXRD QGRMJJG\ I <7 LN
G|>y{b{h
ln2
Ltgoh` dj $ hd gldr` `bxdomh` d| : wtd y nîo* t|gr y y`r xdnydrgxtrg Y> 9/99< ↙ $ HD GLDR@ G T\GR\D DO DJDNDOX@\ G JG MOXDNYDRMD +Y G|>y{b{h → 1/1 ln2 T\GR QGRMJJG HD GLDR@ HDJ , 8 G| > 7/216 ln2
LÇJLTJ@ HD J@\G HD LTBMDRXG L@N@ QMFTDXG\ QDR\M@O 7/29 2<972972 L@OA@RND G JG\ OXL.HA* NÍ[ML@
98.ngr.72
ADLKG HD LÇJLTJ@5 `qmndlgIfngmj/l`n
HGX@\ O@NBRD HD JG QMFG → QMFTDXG Q.4 TBML TBMLGL GLMM O HD HD JG JG QMF QMFG G → J@\G HD LTBMDRXG rdltbrmnmdox`
→
gjxtrg hd jg qmfg
→
h
>
r
>
ydrgjxd "k"
>
golk` hd jg qmfg
→
b
>
rd|m|xdolmg hdj l`olrdx`
→
A&l
>
7;
2/9 29
ln ln
ln
74 299/99
ln cfln2
A} > 8*299/99 cfln2 AGLX@R HD RDHTLLM@O G AJD[M@O Ar > 9/=9 A/ HD RDHTLLM@O G L@RXGOXD Ar > 9/;9 lgjltj` hd l`o|xgoxd| %l > 719/99 cfln2 "l > 7<1/99 cfln2 JG LGRFG NTDRXG MOLJT]D DJ YD\@ YR@YM@ HD JG QMFG LGJLTJ@ HDJ Y@RLDOXGED BGJGOLDGH@ HD GLDR@ yb > 9/9742 yb>+a"l A}- { +8;99 +1999 # A}yn g { > 9/9778< yng{>9/64{yb yn m o > 9/992<1 ynmo>+9/6 { rgmu a & l- A} J@\G HD QMFTDXG ] B@QDHMJJG HD 29 LN D\XGLM@OGNMDOX@
↙ k . r ↙ rdl`nmdohgo 79$ hd J ↙ rdl`nmdohgo k2
a%l>9/;9 A&l a"l>9/;4 a % l
↙
64$ hdj yb
LGJLTJ@ HD JG LTGOXMG HD GLDR@
Nng{
>
7*1=8 cf.n
Hd|ydegoh` w } |mftmdoh` dj yr`ldhmnmdox` g jg hdrdlkg w_2 . 2 w # 9/9941=487= > g{_2 # b{ # l > 9 Rd|`jqmdoh` jg dltglm`o ltghrgxmlg fdodrgj
Y@\MXMQ@
9
{ > .b · ∕+b 2 .8gl2g
GLDR@ DO XDO\M@O D|xd gldr` gb|`rbdrg jg ajd{müo hd jg qmfg q mfg } |d doltdoxrg do dj jdlk` moadrm`r
G|
>
HGX@\ YGRG GRNGH@ T\GR QGRMJJG HD GLDR@ HDJ , < OÕNDR@ HD QGRMJJG\ 8 \M LTNYJD y > 997941 rdgj 9/;7 ln2 Çrdg hd gldr` lgjltjghg y`r xdnydrgxtrg > G|>y{b{h
97 G| > G| > T|gr
ln2
G|>y{b{h
967 2;4
ln2 ln2
7
,8
LÇJLTJ@ HD J@\G HD LTBMDRXG L@N@ QMFTDXG\ QDR\M@O 7/29 2<972972 L@OA@RND G JG\ OXL.HA* NÍ[ML@
98.ngr.72
ADLKG HD LÇJLTJ@5 `qmndlgIfngmj/l`n
HGX@\ O@NBRD HD JG QMFG → QMFTDXG Q.4 TBML TBMLGL GLMM O HD HD JG JG QMF QMFG G → J@\G HD LTBMDRXG rdltbrmnmdox`
→
gjxtrg hd jg qmfg
→
h
>
r
>
ydrgjxd "k"
>
golk` hd jg qmfg
→
b
>
rd|m|xdolmg hdj l`olrdx`
→
A&l
>
7;
2/9 29
ln ln
ln
74 299/99
ln cfln2
A} > 8*299/99 cfln2 AGLX@R HD RDHTLLM@O G AJD[M@O Ar > 9/=9 A/ HD RDHTLLM@O G L@RXGOXD Ar > 9/;9 lgjltj` hd l`o|xgoxd| %l > 719/99 cfln2 "l > 7<1/99 cfln2 JG LGRFG NTDRXG MOLJT]D DJ YD\@ YR@YM@ HD JG QMFG LGJLTJ@ HDJ Y@RLDOXGED BGJGOLDGH@ HD GLDR@ yb > 9/9742 yb>+a"l A}- { +8;99 +1999 # A}yn g { > 9/9778< yng{>9/64{yb yn m o > 9/992<1 ynmo>+9/6 { rgmu a & l- A} J@\G HD QMFTDXG ] B@QDHMJJG HD 29 LN D\XGLM@OGNMDOX@
↙ k . r ↙ rdl`nmdohgo 79$ hd J ↙ rdl`nmdohgo k2
a%l>9/;9 A&l a"l>9/;4 a % l
↙
64$ hdj yb
LGJLTJ@ HD JG LTGOXMG HD GLDR@
Nng{
>
7*1=8 cf.n
Hd|ydegoh` w } |mftmdoh` dj yr`ldhmnmdox` g jg hdrdlkg w_2 . 2 w # 9/9941=487= > g{_2 # b{ # l > 9 Rd|`jqmdoh` jg dltglm`o ltghrgxmlg fdodrgj
Y@\MXMQ@
9
{ > .b · ∕+b 2 .8gl2g
GLDR@ DO XDO\M@O D|xd gldr` gb|`rbdrg jg ajd{müo hd jg qmfg q mfg } |d doltdoxrg do dj jdlk` moadrm`r
G|
>
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