Lèg
Zbpaili4 Hb}imamci4 Hampimamci4 HG\BPAGC BO\PBOGHABO\I Z/Pidi
Z/Gtrc
Z/@cgomi
Mioi}
@gciob}
^gccg}
Zb}g 2k
Zbci|g =k
Zgci}
Fipg ]b}aýo Zamg}
Ao}|gcgmaýo
MGCBO\GHABO\I
ZGP\B ZPAOMAZGC
\bhzipglg ‖:5(‑:6 NM @gpmbciog Zbz Ergplaicg \a|i ^acgoi~g Grpbca Gc|ahapg ZGP\B NAOGC
Cb}aiogli}4 Gr}bomag}4 I`}bp~gmaiob}4
Z/Pidi
Z/Gtrc
Z/@cgomi
Mioi} 7 drbei
Zbpaili4 Zpbzgpg|ipai Lèg C 02):6):5 764:: Hb}imamci4 7 Zpbzgpgmaýo Fipg Hampimamci4 7 NE ]b}aýo 7 HG\BPAGC BO\PBOGHABO\I @gciob} ^gccg} Zb}g 2k Zbci|g =k Zgci} Zamg} Ao}|gcgmaýo 7
7:
0
>
2
Mghzi Mghzi o´ =
=:‑
MGCBO\GHABO\I 0
PILGP ]RG^B 2¼ B]\APGP =‑ PIOLI] 2V0 2 ]GCALG] MIP\G] LB 7:(72h
=
7
7 7
0
7 2
<
2:‑
ZGP\B ZPAOMAZGC g!
m!
l!
`!
Ao|bp~gc Ao|bp~gc |pgaoaoe4 |pgaoaoe4 g! ]kazzaoe+ tae(tge zamg}+}gcalg `! 2 ncbvaiob} `pgti}+ tgomglg ghzcag+}gcalg m! 2 G`lihaogcb} + 7 ~gccg+ }gcalg l! 2 zb}g 2 ke} ke} + }gcalg }gcalg \pi|gp hrq }rg~b
7¤ }bpab4 }bpab4 g(`(m(l g(`(m(l 0¤ }bpab4 }bpab4 m(l(g(` m(l(g(` =¤ }bpab4 }bpab4 g(`(m(l g(`(m(l <¤ }bpab4 }bpab4 m(l(g(` m(l(g(` 2¤ }bpab4 }bpab4 g(`(m(l g(`(m(l \abhzi \pg`gdi4=‑:: gzv \abhzi Zgr}g4 0‑=:
Drbei Drbei lb zi}amaý zi}amaýo o
<:h
=:h =:h
0
<:h
7
7
0 =
7
EPRZI 74
=
0 <
EPRZI 04 =
ZGP\B NAOGC PILGP ]RG^B 2‑ B]\APGP
Cb}aiogli}4 Gr}bomag}4 I`}bp~gmaiob}4
<
7:‑
Z/Pidi
Z/Gtrc
Z/@cgomi
Mioi} 7 drbei
Zbpaili4 Zpbzgpg|ipai Lèg H 0>):6):5 7:4:: Hb}imamci4 7 Zpbzgpgmaýo Fipg Hampimamci4 7 NE ]b}aýo 0 HG\BPAGC BO\PBOGHABO\I @gciob} ^gccg} Zb}g 2k Zbci|g =k Zgci} Zamg} Ao}|gcgmaýo 7:
>
0
<
MGCBO\GHABO\I =‑ Gm|a~gmaýo Gm|a~gmaýo ca`pb =‑ B}|apghabo| B}|apghabo|i} i} > }gcalg} ]kazzaoe+}gc|i+}gcalg
5
Mghzi Mghzi o´ = 7:‑
7
7
ZGP\B ZPAOMAZGC
>2‑
7
Nrbptg4
7
Mapmra|i lb Nrbptg4 Zip zgpbdg} g!7: pbz/ Zb}g 2Ke zg}i} cg|bpgcb}+`pgti} `! 0 }gc|i} ~gccg+}gcalg+zgpbl m! Zpb}aýo+zpb}aio+zgpbl l! Miiplaogmaýo+}gcalg+zgpbl b! 7:pbz#zb}g 2ke mio miiplao/ n! 0 }gc|i ~gccg+}gcalg e! Zgpbl q |api
0
> }bpab} \\4 <2‘ \Z40‑=:(=‑
ZGP\B NAOGC Pilgp 2‑# b}|apgp+g`lihaogcb} b}|apgp+g`lihaogcb} & = }bpab} }bpab} lb 72 lb < g`lihaogcb} la}|ao|i}!
Cb}aiogli}4 Gr}bomag}4 I`}bp~gmaiob}4
72‑
Z/Pidi
Z/Gtrc
Z/@cgomi
Mioi} 7 drbei
Zbpaili4 Zpbzgpg|ipai Lèg H 0>):5):6 764:: Hb}imamci4 7 Zpbzgpgmaýo Fipg Hampimamci4 7 NE ]b}aýo = HG\BPAGC BO\PBOGHABO\I @gciob} ^gccg} Zb}g 2k Zbci|g =k Zgci} Zamg} Ao}|gcgmaýo :
7:
:
:
:
Mghzi Mghzi o´ = 72‑
MGCBO\GHABO\I 2‑ Pilgp }rg~b 2‑ Mgcbo|ghabo Mgcbo|ghabo|i |i |èzami |èzami g ci gomfi lbc mghzi ca`pb =‑ B}|apg B}|apgpp
>2‑
ZGP\B ZPAOMAZGC Bdbpmamai Bdbpmamai lb zg}b zg}b
=
7
7
Aoamagp ci} bdbpmamai} bdbpmamai} mio ro }ici `gcýo# rog ~bt b}|g`cbmal b}|g`cbmalgg cg laoçhamg laoçhamg ao|pil ao|pilrma rmapp bc 0´ `gcýo/ `gcýo/ 7
7
7
7
0 7
0 `gciob} `gciob} g cg ~bt ~bt = ~rbc|g} ~rbc|g} lbpbmfg lbpbmfg q atwrab atwrabplg plg
7
7
7
7
7
0 `gciob} `gciob} g cg ~bt ~bt = ~rbc|g} ~rbc|g} lbpbmfg lbpbmfg q atwrabpl atwrabplgg
7
7
7
7
7`gcio g cg ~bt = ~rbc|g} ~rbc|g} lbpbmfg lbpbmfg q atwrab atwrabplg plg
0
Drbei lb zi}amaýo
0
7 0 7 7
=
<
EPRZI 04
=
ZGP\B NAOGC Pilgp Pilgp 2‑ }rg~b }rg~b B}|apgp + g`lihaogcb}
Cb}aiogli}4 Gr}bomag}4 I`}bp~gmaiob}4
<
72‑
Z/Pidi
Z/Gtrc
Z/@cgomi
Mioi} 7 drbei
Zbpaili4 Zpbzgpg|ipai Lèg V 05):5):5 7:4:: Hb}imamci4 7 Zpbzgpgmaýo Fipg Hampimamci4 7 NE ]b}aýo < HG\BPAGC BO\PBOGHABO\I @gciob} ^gccg} Zb}g 2k Zbci|g =k Zgci} Zamg} Ao}|gcgmaýo 7:
<
7
7
:
MGCBO\GHABO\I 2‑ Pilgp Pilgp }rg~b }rg~b =‑ B}|apghabo|i B}|apghabo|i}} 2‑ Iz|ahatgmaýo Iz|ahatgmaýo zip icbglg} icbglg} bo eprzi} lb <
>
Mghzi Mghzi o´ = 7:‑
7 7 7 7
ZGP\B ZPAOMAZGC
<2‑
7
Nrbptg4
7
Mapmra|i lb Nrbptg4 Zip zgpbdg} g!7: pbz/ @gcio hblamaogc hblamaogc = Ke} 2 g mglg cgli |apgoli bc `gcio gc }rbci/ zg}i} cg|bpgcb}+`pgti} `! 0 }gc|i} ~gccg+}gcalg+zgpbl m! Zpb}aýo+zpb}aio+zg}}gp Zpb}aýo+zpb}aio+zg}}gp lb|pç} zamg zamg +}gcalg+zgpbl l! < }gc|i} ghzca|rl lb tgomglg/ 0´ |pazcb/ b! 7:pbz/ Zb}g 2ke mio miiplaogmaio `pgti} +zabpog}// n! 0 }gc|i ~gccg+}gcalg e! Tae(tge+|api
0
> }bpab} \\4 <2‘ \Z40‑=:(=‑ < Cgpei} g ci gomfi lbc mghzi mio ro zimi lb ghzca|rl lb tgomglg Cg ~rbc|g lb pbmrzbpgmaýo |pi|goli hrq h rq }rg~b
DRO\GHI] BC BO\PBOI MIO BC LB CG \GPLB ZGP\B NAOGC B}|apgp+g`lihaogcb} &< }bpab} }bpab} lb 7: lb < g`lihaogcb} la}|ao|i}!
Cb}aiogli}4 Gr}bomag}4 I`}bp~gmaiob}4
72‑
Z/Pidi
Z/Gtrc
Z/@cgomi
Mioi} 7 drbei
Zbpaili4 Zpbzgpg|ipai Lèg V 05):5):5 764:: Hb}imamci4 7 Zpbzgpgmaýo Fipg Hampimamci4 7 NE ]b}aýo 2 HG\BPAGC BO\PBOGHABO\I @gciob} ^gccg} Zb}g 2k Zbci|g =k Zgci} Zamg} Ao}|gcgmaýo :
7:
:
:
MGCBO\GHABO\I =‑ Gm|a~g Gm|a~gmaý maýoo =‑ B}|apghabo| B}|apghabo|i} i} <‑ Miiplaogma Miiplaogmaýo ýo + }gcalg} }gcalg} 0‑ \imgp `gcio ca`pb
7
\\4 <2‑
7
7
Gc naogc naogc 0:‑ lb mgh`ai gc eic eic
<2‑
7
Mihzb|amaýo4 = Bwrazi} Zgp|ali} mip|i} >v>v> 6‑
Zgp|ali} lb 6‑ Mio|g`acatgp cg} ~am|ipag}
Mghzi Mghzi o´ = 70‑
7
ZGP\B ZPAOMAZGC
Bwrazi wrb lb}mgo}g4 B}|apgp + g`lihaogcb}
0
0
7
0 0 7
7 0
0 7
BWRAZI G4 BWRAZI @4 BWRAZI M4
< Cgpei} lb 2:(>: hb|pi} mio ghzca|ral ghzca|ral lb tgomglg# ~ic~bp pbmrzbpgoli/
ZGP\B NAOGC B}|apgp 7:‑
Cb}aiogli}4 Gr}bomag}4 I`}bp~gmaiob}4
7:‑
Z/Pidi
Z/Gtrc
Z/@cgomi
Mioi} 7 drbei
Zbpaili4 Zpbzgpg|ipai Lèg D 06):5):5 7:4:: Hb}imamci4 7 Zpbzgpgmaýo Fipg Hampimamci4 7 NE ]b}aýo > HG\BPAGC BO\PBOGHABO\I @gciob} ^gccg} Zb}g 2k Zbci|g =k Zgci} Zamg} Ao}|gcgmaýo :
7:
0
:
:
Haoa B}|gla 7:‑
MGCBO\GHABO\I =‑ Gm|a~gmaýo Gm|a~gmaýo ca`pb =‑ B}|apghabo| B}|apghabo|i} i} <‑ Miiplaogma Miiplaogmaýo ýo + }gcalg} }gcalg} 7: h
7
7
>2‑
ZGP\B ZPAOMAZGC 07‑ Pb}a}|boma Pb}a}|bomagg Mippbp aola~alrgchbo|b lb niphg ca`pb g ci cgpei lb |ili bc b}zgmai/ \\4 07‑ 07‑ & 5 }bpa }bpab} b} lb lb =‑ lb mgh`a mgh`ai} i} lb lb pa|h pa|hii &7‑ &7‑ }rg~ }rg~bb ( 7‑ pa|hi pa|hi ( 7‑ Nrbp Nrbp|b |b!! !! Mglg dreglip }b ahziob }r pa|hi q bcaeb bc pbmippali/ HRQ AHZIP\GO\B CG GR\IBVAEBOMAG B}|apgp B}|apgp 2‑ + =v72 g`lihaogcb g`lihaogcb}} Mio}bp~gmaýo4 0
G! 6v6+0 mihilaob} zip lbo|pi @! 6v6+0 M zip nrbpg M! 5v5+0 M zip nrbpg
B}zgmai 5:v>: h epgolb \\4=V70‑ \Z4=‑ \Z4=‑ i 3 70: z)h z)h
<
7
7
6 5 5 2 7
Zi}amaiob} ca`pb} Imrzgp pgmaiogchbo|b bc |bppboi lb drbei/ =v72 g`lihaogcb} g`lihaogcb} ca`pb} bo|pb zgr}g}/
0
> 0
5
< = 2 >
6
BWRAZI G4 BWRAZI @4 MIHILAOB]4 ZGP\B NAOGC < cgpei} lb 5: h mio ghzca|rl lb tgomglg ~ic~bp ~ic~bp pbmrzbpgoli pbmrzbpgoli }rg~b B}|apgp
Cb}aiogli}4 Gr}bomag}4 I`}bp~gmaiob}4
>2‑
Z/Pidi
Z/Gtrc
Z/@cgomi
Mioi} 7 drbei
Zbpaili4 Zpbzgpg|ipai Lèg ^ 01):5):5 7:4:: Hb}imamci4 7 Zpbzgpgmaýo Fipg Hampimamci4 7 NE ]b}aýo 5 HG\BPAGC BO\PBOGHABO\I @gciob} ^gccg} Zb}g 2k Zbci|g =k Zgci} Zamg} Ao}|gcgmaýo 7:
<
7
:
:
MGCBO\GHABO\I 2‑ Pilgp Pilgp }rg~b }rg~b =‑ B}|apghabo|i B}|apghabo|i}} 2‑ Iz|ahatgmaýo Iz|ahatgmaýo zip icbglg} icbglg} bo eprzi} lb <
>
Mghzi Mghzi o´ = 7:‑
7 7 7 7
ZGP\B ZPAOMAZGC
<2‑
7
Nrbptg4
7
Mapmra|i lb Nrbptg4 Zip zgpbdg} g!7: G`lihaogcb} zg}i} cg|bpgcb}+`pgti} `! 0 }gc|i} ~gccg+}gcalg+ lb~ic~bp lb mg`btg/ m! Taetge+ zgpbl l! Lb}zcgtghabo|i cg|bpgc + zgpbl b! 7:pbz/ Zb}g 2ke mio miiplaogmaio `pgti} +zabpog}// n! 0 }gc|i ~gccg+}gcalg e! Tae(tge+|api
0
7v7
6 }bpab} \\4 <2‘ \Z40‑=:(=‑
< Cgpei} g ci gomfi lbc mghzi mio ro zimi lb ghzca|rl lb tgomglg Cg ~rbc|g lb pbmrzbpgmaýo |pi|goli hrq }rg~b
ZGP\B NAOGC B}|apgp+g`lihaogcb} &< }bpab} }bpab} lb 7: lb < g`lihaogcb} la}|ao|i}!
Cb}aiogli}4 Gr}bomag}4 I`}bp~gmaiob}4
72‑
Z/Pidi
Z/Gtrc
Z/@cgomi
Mioi} 7 drbei
Zbpaili4 Zpbzgpg|ipai Lèg ^ 01):5):5 764:: Hb}imamci4 7 Zpbzgpgmaýo Fipg Hampimamci4 7 NE ]b}aýo 6 HG\BPAGC BO\PBOGHABO\I @gciob} ^gccg} Zb}g 2k Zbci|g =k Zgci} Zamg} Ao}|gcgmaýo :
7:
:
:
0
Mghzi Mghzi o´ = 70‑
MGCBO\GHABO\I =‑ Gm|a~g Gm|a~gmaý maýoo =‑ B}|apghabo| B}|apghabo|i} i} <‑ Miiplaogma Miiplaogmaýo ýo + }gcalg} }gcalg} 0‑ \imgp `gcio ca`pb
7
7
ZGP\B ZPAOMAZGC
<2‑ 7
> 7
Mihzb|amaýo4 = Bwrazi} Zgp|ali} mip|i} 2v2v2 6‑ \\4 <2‑
7
0
Bwrazi wrb lb}mgo}g drbeg zip nrbpg B}|apgp + g`lihaogcb} Zgp|ali} lb 6‑ Mihz|g`acat Mihz|g`acatgp gp cg} ~am|ipag ~am|ipag 0:‑ Mgh`ai gc eic
2
2
0
<
= 2
= 2
<
0 7
2
7 =
<
BWRAZI G4 BWRAZI @4 BWRAZI M4
< Cgpei} lb 2:(>: hb|pi} mio ghzca|ral ghzca|ral lb tgomglg# ~ic~bp pbmrzbpgoli/
ZGP\B NAOGC B}|apgp
Cb}aiogli}4 Gr}bomag}4 I`}bp~gmaiob}4
7:‑
Z/Pidi
Z/Gtrc
Z/@cgomi
Mioi} 7 drbei
Zbpaili4 Zpbzgpg|ipai Lèg ] =:):5):5 7:4:: Hb}imamci4 7 Zpbzgpgmaýo Fipg Hampimamci4 7 NE ]b}aýo 1 HG\BPAGC BO\PBOGHABO\I @gciob} ^gccg} Zb}g 2k Zbci|g =k Zgci} Zamg} Ao}|gcgmaýo 7:
:
:
MGCBO\GHABO\I
:
:
Mghzi Mghzi o´ = 6‑
=‑ Gm|a~gmaýo Gm|a~gmaýo ca`pb 0‑ B}|apghabo| B}|apghabo|i} i} =‑ < }gcalg} lb4 Gmmaýo eb}|i + mgh`ai lb pa|hi lb 0: h
ZGP\B ZPAOMAZGC
>2‑
07‑ Pb}a}|boma Pb}a}|bomagg Mippbp aola~alrgchbo|b lb niphg ca`pb g ci cgpei lb |ili bc b}zgmai/ \\4 07‑ 07‑ & 5 }bpa }bpab} b} lb lb =‑ lb mgh mgh`a `ai} i} lb lb pa|hi pa|hi &7‑ }rg~ }rg~bb ( 7‑ pa|hi pa|hi ( 7‑ Nrbp Nrbp|b |b!! !! Mglg dreglip }b ahziob }r pa|hi q bcaeb bc pbmippali/ HRQ AHZIP\GO\B CG GR\IBVAEBOMAG B}|apgp B}|apgp 2‑ + =v72 g`lihaogcb g`lihaogcb}} ZGP\ALI BO\PBOGHABO\I 7:v7:+0 zip|bpi} lbzbolb lbc o´ lb dreglipb} dreglipb} bnbm|a~i}/ bnbm|a~i}/
B}zgmai 4 =)
ZGP\B NAOGC 2‑ Pilgp Pilgp hrq }rg~b }rg~b B}|apgp
Cb}aiogli}4 Gr}bomag}4 I`}bp~gmaiob}4
72‑
Z/Pidi
Z/Gtrc
Z/@cgomi
Mioi} 7 drbei
Zbpaili4 Zpbzgpg|ipai Lèg C :7):6):5 764:: Hb}imamci4 7 Zpbzgpgmaýo Fipg Hampimamci4 0 M ]b}aýo 7: HG\BPAGC BO\PBOGHABO\I @gciob} ^gccg} Zb}g 2k Zbci|g =k Zgci} Zamg} Ao}|gcgmaýo <
7:
7
7
:
MGCBO\GHABO\I 2‑ Pilgp Pilgp }rg~b }rg~b =‑ B}|apghabo|i B}|apghabo|i}} 2‑ Iz|ahatgmaýo Iz|ahatgmaýo zip zip zgpbdg}
<
Mghzi Mghzi o´ = 7:‑
7
0
ZGP\B ZPAOMAZGC GMMAIO MIH@AOGLG
>:‑ 7
7! 2 Pb Pbz Zb}g Zb}g 2 Ke} Ke} Miiplaogmaýo+zg}b + gziqi nrbpg lbc êpbg/ 0! 0 ^gccg} ^gccg}+ + zg}b zg}b g = + }gca }gcalg lg q mbo|pi =! 2 Pbz/ Pbz/ @gc @gcio io = Ke} Ke} miip miipla laog ogma maýo ýo + dregp lb mgpg + bo|pglg 0´ zgci/
< i 2 dreglipb} zip b}|gmaýo/ Iplbo lb pi|gmaýo 7(0(=(< Bo bc hihbo|i wrb mbo|pg qg }gcb bc }aerabo|b eprzi/ Pbmrzbpgmaýo |pi|goli g pa|hi }rg~b/ Iz|ahatgp bc |ahaoe lb cg gmmaýo/ gmmaýo/
0
< =
\\4 0 }bpab} lb 72‑/ Rog }bpab }bpab g mglg cgli/ \Z4 =‑ bo|pb bo|pb cg} li} }bpab} }bpab}
7
ZGP\ALI ZGP\ALI ¸ MGHZI MGHZI \\4 \\4 0v70 0v70‑‑ \Z4 \Z4 =‑
Bwrazi 74 Bwrazi 04
ZGP\B NAOGC B}|apgp+g`lihaogcb} &< }bpab} }bpab} lb 7: lb < g`lihaogcb} la}|ao|i}!
Cb}aiogli}4 Gr}bomag}4 I`}bp~gmaiob}4
72‑
Z/Pidi
Z/Gtrc
Z/@cgomi
Mioi} 7 drbei
Zbpaili4 Zpbzgpg|ipai Lèg V 7:):6):5 7:4:: Hb}imamci4 7 Zpbzgpgmaýo Fipg Hampimamci4 = Np ]b}aýo 77 HG\BPAGC BO\PBOGHABO\I @gciob} ^gccg} Zb}g 2k Zbci|g =k Zgci} Zamg} Ao}|gcgmaýo <
7:
7
:
7:
MGCBO\GHABO\I 2‑ Pilgp Pilgp }rg~b }rg~b =‑ B}|apghabo|i B}|apghabo|i}} 2‑ Iz|ahatgmaýo Iz|ahatgmaýo zip zgpbdg}/ zgpbdg}/ Gmmaýo + }gc|i + }gcalg/
0
Mghzi Mghzi o´ = 7:‑
7
0
ZGP\B ZPAOMAZGC
<2‑
7
Nrbptg4
7
Mapmra|i lb Nrbptg4 Zip zgpbdg} g!7: G`lihaogcb} `! 0 }gc|i} ~gccg+}gcalg+ zgpbl m! Taetge+ }gcalg + zgpbl l! ]kazzaoe+g`pap mbppgp b! 7:pbz/ Zb}g 2ke mio miiplaogmaio `pgti} +zabpog}// n! 0 }gc|i ~gccg+zgpbl+|api/
0
6 }bpab} \\4 <2‘ \Z40‑=:(=‑
< Cgpei} g ci gomfi lbc mghzi mio ro zimi lb ghzca|rl lb tgomglg Cg ~rbc|g lb pbmrzbpgmaýo |pi|goli hrq }rg~b
ZGP\B NAOGC B}|apgp+g`lihaogcb} &< }bpab} }bpab} lb 7: lb < g`lihaogcb} la}|ao|i}!
Cb}aiogli}4 Gr}bomag}4 I`}bp~gmaiob}4
72‑
Z/Pidi
Z/Gtrc
Z/@cgomi
Mioi} 7 drbei
Zbpaili4 Zpbzgpg|ipai Lèg V 7:):6)5 764:: Hb}imamci4 7 Zpbzgpgmaýo Fipg Hampimamci4 = Np ]b}aýo 70 HG\BPAGC BO\PBOGHABO\I @gciob} ^gccg} Zb}g 2k Zbci|g =k Zgci} Zamg} Ao}|gcgmaýo :
0:
:
:
:
Mghzi Mghzi o´ = 72‑
MGCBO\GHABO\I 2‑ Pilgp }rg~b 2‑ Mgcbo| Mgcbo|gha ghabo| bo|ii |èzami |èzami g ci gomfi gomfi lbc mghz mghzii / =‑ B}|apg B}|apgpp
>2‑
ZGP\B ZPAOMAZGC BDBPMAMAI LB ZG]B G! 7(=( 7(=(0(< 0(< pb|i pb|ipoi poi g 7 @! 7(=(0(< 7(=(0(<(=( (=(<(0 <(0(=( (=(<< pb|ipoi pb|ipoi g 7 M! 7(<(0(= 7(<(0(=(< (< pb|ipoi pb|ipoi g 7
0 7 7 7
=
Pi|gmaýo4 7(0(=(<(7 \\4 = v }bpab} }bpab} lb >‑( \Z4 0‑
< < <
7
0 7 7 7
7
< < < =
0 7 7 7
< < <
7 =
DRBEI LB ZI]AMAÝO
h \\4 = }bpab} lb 6‑ \Z4 0(=‑ 0(=‑ 3 70: z)h Hçvahi Hçvahi 0 |iwrb} |iwrb} Ahzpa Ahzpahap hap pa|hi pa|hi lb drbe drbeii gc|i gc|i
0
7 0 0 7
7
=
<
EPRZI 74 ………… =
EPRZI 04 ZGP\B NAOGC Pilgp Pilgp 2‑ }rg~b }rg~b B}|apgp + g`lihaogcb} &=v72 pbz lb < g`lihaogcb} la}|ao|i}!
Cb}aiogli}4 Gr}bomag}4 I`}bp~gmaiob}4
<
72‑
Z/Pidi
Z/Gtrc
Z/@cgomi
Mioi} 7 drbei
Zbpaili4 Zpbzgpg|ipai Lèg D 77):6):5 7:4:: Hb}imamci4 7 Zpbzgpgmaýo Fipg Hampimamci4 = Np ]b}aýo 7= HG\BPAGC BO\PBOGHABO\I @gciob} ^gccg} Zb}g 2k Zbci|g =k Zgci} Zamg} Ao}|gcgmaýo 0
0:
=
0
2
:
Mghzi Mghzi o´ = 72‑
MGCBO\GHABO\I 2‑ Pilgp }rg~b 2‑ Mgcbo| Mgcbo|gha ghabo| bo|ii |èzami |èzami g ci gomfi gomfi lbc mghz mghzii / =‑ B}|apg B}|apgpp
>:‑
ZGP\B ZPAOMAZGC PB]A]\BOMAG G! 7: Zb}g 2 Ke}+ zpb}aýo +]gcalg +]gcalg <: h|}/ h|}/ @! 7: G`lihaogcb} + ~gccg + }gcalg }gcalg =: h|} M! 2 ncbvaiob} lb `pgti}+tae(tge+}gcalg `pgti}+tae(tge+}gcalg 0: h|}/ L! 7: @gcio = Ke}+~gccg+ Ke}+~gccg+}gca }gcalg lg 7: h|}
M
L
G
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0
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7 6
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7
7
1
5
6
7
1
5
5
5 2
7
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0
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0 5
5 <
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7
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2 6
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2 6
EPRZI 74 ………… EPRZI 04 ZGP\B NAOGC Pilgp Pilgp 2‑ }rg~b }rg~b B}|apgp + g`lihaogcb} &=v72 pbz lb < g`lihaogcb} la}|ao|i}!
Cb}aiogli}4 Gr}bomag}4 I`}bp~gmaiob}4
72‑
0
Z/Pidi
Z/Gtrc
Z/@cgomi
Mioi} 7 drbei
Zbpaili4 Zpbzgpg|ipai Lèg ^ 70):6):5 7:4:: Hb}imamci4 7 Zpbzgpgmaýo Fipg Hampimamci4 = Np ]b}aýo 7< HG\BPAGC BO\PBOGHABO\I @gciob} ^gccg} Zb}g 2k Zbci|g =k Zgci} Zamg} Ao}|gcgmaýo 0
7:
:
:
=
<
Mghzi Mghzi o´ = 7:‑
MGCBO\GHABO\I =‑ Gm|a~gmaýo Gm|a~gmaýo ca`pb =‑ B}|apghabo|i B}|apghabo|i}} 70‑ Pioli} Pioli} < }gcalg} |imgoli `gcýo + gmmaýo)}gcalg =:h
7
7
<
7
0
=
ZGP\B ZPAOMAZGC
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7
\ili} \ili} ci} ci} dregli dreglipb} pb} zg}g zg}goo zip |ili} |ili} cg} cg} zi}am zi}amaio aiob}/ b}/ Pi|g Pi|gma maýo ýo44 >(5( >(5(6( 6(1( 1(77 77(7 (7:: \\4 =v7:‑ 72‑ cgli lbpbmfi lbpbmfi ) 72‑ 72‑ cgli atwrab atwrabpli pli ) \Z4 <‑ ≬ 7:: z)h 72‑ & 2‑ rog dreglg;2‑ dreglg;2‑ cg 0g izmaýo;2‑ izmaýo;2‑ mih`aogmaý mih`aogmaýoo lb cg} li} izmaiob}!/
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1 5
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77
6 >
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5
77 6 >
ZGP\B NAOGC B}|apgp+g`lihaogcb} &< }bpab} }bpab} lb 7: lb < g`lihaogcb} la}|ao|i}!
Cb}aiogli}4 Gr}bomag}4 I`}bp~gmaiob}4
72‑
Z/Pidi
Z/Gtrc
Z/@cgomi
Mioi} 7 drbei
Zbpaili4 Zpbzgpg|ipai Lèg ^ 70):6):5 764:: Hb}imamci4 7 Zpbzgpgmaýo Fipg Hampimamci4 = Np ]b}aýo 72 HG\BPAGC BO\PBOGHABO\I @gciob} ^gccg} Zb}g 2k Zbci|g =k Zgci} Zamg} Ao}|gcgmaýo 7:
:
:
:
MGCBO\GHABO\I
:
:
Mghzi Mghzi o´ = 7:‑
2‑ Mgcbo|ghabo Mgcbo|ghabo|i |i mio `gcýo `gcýo =‑ B}|apghabo|i B}|apghabo|i}} =‑ Iz|ahatgmaýo Iz|ahatgmaýo
ZGP\B ZPAOMAZGC
>:‑
BO\PBOGHABO\I \ÁMOAMI ) \ÇM\AMI BCAEB BO\PBOGLIP BO\PBOGLIP
ZGP\B NAOGC B}|apgp+g`lihaogcb} &< }bpab} }bpab} lb 7: lb < g`lihaogcb} la}|ao|i}!
Cb}aiogli}4 Gr}bomag}4 I`}bp~gmaiob}4
72‑
Z/Pidi
Z/Gtrc
1
1
Z/@cgomi
Mioi}
Zbpaili4 Zpbzgpg|ipai Lèg ] 7=):6):5 7:4:: Hb}imamci4 7 Zpbzgpgmaýo Fipg Hampimamci4 = Np ]b}aýo 7> HG\BPAGC BO\PBOGHABO\I @gciob} ^gccg} Zb}g 2k Zbci|g =k Zgci} Zamg} Ao}|gcgmaýo 2
0:
2
Mghzi Mghzi o´ =
MGCBO\GHABO\I 0
2‑ Gm|a Gm|a~g ~gma maýo ýo 70‑ 70‑ Piol Pioli} i} ]gcalg} lb ~bcimalgl ~bcimalgl lb pbgmmaýo pbgmmaýo
7 7
=
0
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<
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7
7
\\4 0v 70‑ \Z4 =‑
0
7
0
7
ZGP\ALI 1v1
7
\\4 0:‑ 7 0 7 0
0 7 7
7 0 0 7
ZGP\B NAOGC 7:‑ B}|apg B}|apgpp
Cb}aiogli}4 Gr}bomag}4 I`}bp~gmaiob}4
0 7 7
0
Z/Pidi
Z/Gtrc
Z/@cgomi
Zbpaili4 Zpbzgpg|ipai Lèg C 72):6):5 7:4:: Hb}imamci4 7 Zpbzgpgmaýo Fipg Hampimamci4 < M ]b}aýo 75 HG\BPAGC BO\PBOGHABO\I @gciob} ^gccg} Zb}g 2k Zbci|g =k Zgci} Zamg} Ao}|gcgmaýo
Mioi} 7 drbei
:
0:
:
:
:
:
Mghzi Mghzi o´ = 72‑
MGCBO\GHABO\I 2‑ Pilgp }rg~b 2‑ Mgcbo| Mgcbo|gha ghabo| bo|ii |èzami |èzami g ci gomfi gomfi lbc mghz mghzii / =‑ B}|apg B}|apgpp
>:‑
ZGP\B ZPAOMAZGC PB]A]\BOMAG Gmmaýo Gmmaýo lb nrbptg zip zgpbdg}4 zgpbdg}4 Bhzrdgp# gppg}|pgp /// + }gcalg/ = La}|gomag} lb 72# 02 q =2 h|}/ ^rbc|g ^rbc|g }rg~b }rg~b
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G @
72h
\\4 0 v }bpab} }bpab} lb 6‑ \Z4 =‑
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=2 h
02 h
0
0 <
7 6
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7
7
1
5
6
7
1
5
5
5 2
7
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2 0
>
0
>
0 5
5 <
<
7
<
= >
2 6
= >
2 6
EPRZI 74 ………… EPRZI 04 ZGP\B NAOGC Pilgp Pilgp 2‑ }rg~b }rg~b B}|apgp + g`lihaogcb} &=v72 pbz lb < g`lihaogcb} la}|ao|i}!
Cb}aiogli}4 Gr}bomag}4 I`}bp~gmaiob}4
72‑
0
Z/Pidi
Z/@cgomi
Z/Gtrc
Zbpaili4 Zpbzgpg|ipai Lèg ^ 0>):6):5 7:4:: Hb}imamci4 0 Zpbz)Mihz/ Fipg Hampimamci4 2 M ]b}aýo 76 HG\BPAGC BO\PBOGHABO\I @gciob} ^gccg} Zb}g 2k Zbci|g =k Zgci} Zamg} Ao}|gcgmaýo
Mioi} 7 drbei
:
0:
:
:
MGCBO\GHABO\I Pilgp 2¼ B}|apghabo|i} > }gcalg} Zg}b} zip zgpbdg}
:
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Mghzi Mghzi o´ = 72‑
7 7
ZGP\B ZPAOMAZGC
>:‑
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2:" <:" Ao|bp~gci mio HZ4=‑
G/7¤ G/7¤ }bpab }bpab v 6‑ @/0¤ @/0¤ }bpab }bpab v 7:‑ L4<:h mglg cgli
Mglg |pb} cgli} pbgcatgp rog lageiogc/ DRBEI LB ZI]AMAÝO
B}zgmai 70 v 7> h \\4 < }bpab} lb >‑ \Z4 0(=‑ 0(=‑ 3 70: z)h Hçvahi Hçvahi 0 |iwrb} |iwrb} Ahzpa Ahzpahap hap pa|hi pa|hi lb drbei gc|i
0
7 0 0
7
7 =
<
=
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ZGP\B NAOGC Pilgp Pilgp 2‑ }rg~b }rg~b B}|apgp + g`lihaogcb} &=v72 pbz lb < g`lihaogcb} la}|ao|i}!
Cb}aiogli}4 Gr}bomag}4 I`}bp~gmaiob}4
72‑
Z/Pidi
Z/Gtrc
Z/@cgomi
Zbpaili4 Zpbzgpg|ipai Lèg ] 05):6):5 7:4:: Hb}imamci4 0 Zpbz)Mihz/ Fipg Hampimamci4 2 M ]b}aýo 71 HG\BPAGC BO\PBOGHABO\I @gciob} ^gccg} Zb}g 2k Zbci|g =k Zgci} Zamg} Ao}|gcgmaýo
Mioi} 7 drbei
< zbw/
7:
:
:
7:
>
Mghzi Mghzi o´ =
MGCBO\GHABO\I
72‑
0
2‑ Gm|a~g Gm|a~gmaý maýoo 0‑ B}|apghabo| B}|apghabo|i} i} 7>‑ Pioli} Pioli} 2v0 2v0
7 7
=
0
<
<
ZGP\B ZPAOMAZGC ^bcimalgl mio |api zip zgpbdg}/ G! @! M!
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0
0
]gcalg lbpbmfg b atwrabplg gc|bpog|a~ghbo|b/ 7
7
ZGP\ALI ZGP\ALI ¸ MGHZI \\4 \\4 0v7:‑ 0v7:‑ ZGP ZGP\A \ALI LI ¸ MG MGHZI HZI \Z4 2‑
ZGP\B NAOGC B}|apgp+g`lihaogcb} &0 }bpab} }bpab} lb 72 lb 2 g`lihaogcb} la}|ao|i}!
Cb}aiogli}4 Gr}bomag}4 I`}bp~gmaiob}4
Z/Pidi
Z/Gtrc
Z/@cgomi
Mioi} 7 drbei
Zbpaili4 Zpbzgpg|ipai Lèg C 01):6):5 7:4:: Hb}imamci4 0 Zpbz)Mihz/ Fipg Hampimamci4 > N^ ]b}aýo 0: HG\BPAGC BO\PBOGHABO\I @gciob} ^gccg} Zb}g 2k Zbci|g =k Zgci} Zamg} Ao}|gcgmaýo :
0:
:
:
:
:
Mghzi Mghzi o´ =
MGCBO\GHABO\I 2‑ Pilgp Pilgp }rg~b }rg~b =‑ B}|apg B}|apgpp =‑ Mgcbo|ghabo Mgcbo|ghabo|i |i fgmag cg P
ZGP\B ZPAOMAZGC G! Bo|pboghabo|i/ G/7! Pb}a}|bomag Ci} wrb fgo dregli dregli ( <2‑/
7¤ ]bpab ]bpab 7:‑ 0¤ ]bpab ]bpab 6‑ B}|apghabo|i}/ Pçzali Cbo|i
02h
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=:h <:h
0
G/0! DRBEI LB ZI]AMAÝO
0 7 2 2
7
0
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>:‑
Z/Pidi
Z/Gtrc
Z/@cgomi
Zbpaili4 Zpbzgpg|ipai Lèg V =7):6):5 7:4:: Hb}imamci4 0 Zpbz)Mihz Fipg Hampimamci4 > N^ ]b}aýo 07 HG\BPAGC BO\PBOGHABO\I @gciob} ^gccg} Zb}g 2k Zbci|g =k Zgci} Zamg} Ao}|gcgmaýo
Mioi} 7 drbei
>
0:
:
7
2
2
Mghzi Mghzi o´ =
MGCBO\GHABO\I 2‑ Pilgp Pilgp }rg~b }rg~b =‑ B}|apg B}|apgpp >‑ Mgcbo|ghabo Mgcbo|ghabo|i |i fgmag cg Nrbptg
^gccg
7
0
^gccg
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7
7
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7 07
7 0 7
0
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7
0 0
0 7
7 0
7
7
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\pg`gdi lb N(^ \\40v
Z/Pidi
Z/Gtrc
Z/@cgomi
Mioi} 7 drbei
Zbpaili4 Zpbzgpg|ipai Lèg D :7):1):5 7:4:: Hb}imamci4 0 Zpbz)Mihz Fipg Hampimamci4 > N^ ]b}aýo 00 HG\BPAGC BO\PBOGHABO\I @gciob} ^gccg} Zb}g 2k Zbci|g =k Zgci} Zamg} Ao}|gcgmaýo :
0:
:
:
:
MGCBO\GHABO\I
:
Mghzi Mghzi o´ = 7:‑
Pilgp }rg~b <‑ B}|apgp =‑ Mgcbo|gp fgmag cg Pb}a}|bomag =‑
ZGP\B ZPAOMAZGC
2:‑
PB]A]\BOMAG 76‑ pilgp }rg~b }rg~b mio`aogli mio`aogli mio rog rog }gcalg }gcalg g pa|hi nrbp|b nrbp|b lb > g 6‘ lbo|pi lbo|pi lb mglg zbpaýli zbpaýli lb ro haor|i/ haor|i/ B}|apgp 0‑
G/0! DRBEI LB ZI]AMAÝO v<‑ \Z47‑=:‘ \Z47‑=:‘ B}|apgp B}|apgp L4 Mghzi lb hblagoi g zbwrb÷i/ =v7: pbzb|amaiob} lb < g`lihaogcb}/
0 0 7 2 2
7 =
=
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0
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7:‑
Z/Pidi
Z/Gtrc
Z/@cgomi
Mioi} 7 drbei
Zbpaili4 Zpbzgpg|ipai Lèg ^ 7:4:: Hb}imamci4 0 Zpbz)Mihz Fipg Hampimamci4 > N^ ]b}aýo 0= HG\BPAGC BO\PBOGHABO\I @gciob} ^gccg} Zb}g 2k Zbci|g =k Zgci} Zamg} Ao}|gcgmaýo :
0:
:
:
:
:
Mghzi Mghzi o´ = 7:‑
MGCBO\GHABO\I Pilgp <‑ B}|apgp =‑ Hi`acalgl Hi`acalgl gp|amrcgp gp|amrcgp =‑
ZGP\B ZPAOMAZGC Bdbpmamai Bdbpmamai lb zg}b zg}b
=
>:‑ 7
7
Aoamagp ci} bdbpmamai} bdbpmamai} mio ro }ici `gcýo# rog ~bt b}|g`cbmal b}|g`cbmalgg cg laoçhamg ao|pil ao|pilrma rmapp bc 0´ `gcýo/ `gcýo/ 7
7
7
7
0 7
0 `gciob} `gciob} g cg ~bt ~bt = ~rbc|g} ~rbc|g} lbpbmfg lbpbmfg q atwrabpl atwrabplgg
7
7
7
7
0 `gciob} `gciob} g cg ~bt ~bt = ~rbc|g} ~rbc|g} lbpbmfg lbpbmfg q atwrabpl atwrabplgg
7
7
7
7
7
7`gcio g cg ~bt = ~rbc|g} ~rbc|g} lbpbmfg lbpbmfg q atwrab atwrabplg plg
BO\PBOGHABO\I \ÇM\AMI4 999 B^ICRMAIOB] I DRBEI LB ZI]AMAÝO MIO 77v77 MIO CI] ZIP\BPI] LBO\PI LBC ÇPBG/
ZGP\B NAOGC B}|apgp G`lihaogcb} Cb}aiogli}4 Gr}bomag}4 I`}bp~gmaiob}4
7:‑
Z/Pidi
Z/Gtrc
Z/@cgomi
Zbpaili4 Zpbzgpg|ipai Lèg ] 7:4:: Hb}imamci4 0 Zpbz)Mihz Fipg Hampimamci4 > N^ ]b}aýo 0< HG\BPAGC BO\PBOGHABO\I @gciob} ^gccg} Zb}g 2k Zbci|g =k Zgci} Zamg} Ao}|gcgmaýo
Mioi} 7 drbei
:
0:
:
:
:
MGCBO\GHABO\I
<
Mghzi Mghzi o´ = 02‑
0
2‑ Gm|a Gm|a~g ~gma maýo ýo 70‑ 70‑ Piol Pioli} i} ]gcalg} lb ~bcimalgl lb pbgmmaýo pbgmmaýo
7 7
=
0
<
<
ZGP\B ZPAOMAZGC
2:‑
^BCIMALGL ZIP \PAI] \\4 0>‑ HZ40‑=:‑‑ 7¤ }bpab }bpab 70‑ 0¤ }bpab }bpab 70‑
0 =
7
6
Zgp|ali 1v1
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7
5
0
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5
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ZGP\B NAOGC B]\PG\BEAG B]\APGP
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7:‑
Z/Pidi
Z/Gtrc
Z/@cgomi
Mioi} 7 drbei
Zbpaili4 Zpbzgpg|ipai Lèg C 7:4:: Hb}imamci4 0 Zpbz)Mihz/ Fipg Hampimamci4 5 NP ]b}aýo 02 HG\BPAGC BO\PBOGHABO\I @gciob} ^gccg} Zb}g 2k Zbci|g =k Zgci} Zamg} Ao}|gcgmaýo :
0:
:
:
:
MGCBO\GHABO\I
:
Mghzi Mghzi o´ = 77‑
2‑ Pilgp Pilgp }rg~b }rg~b =‑ B}|apg B}|apgpp =‑ Mgcbo|ghabo Mgcbo|ghabo|i |i fgmag cg P
ZGP\B ZPAOMAZGC
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=:h <:h 2:h
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0
G/0! DRBEI LB ZI]AMAÝO
0 7 2 2
7
0
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=
=
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7:‑
Z/Pidi
Z/Gtrc
Z/@cgomi
Zbpaili4 Zpbzgpg|ipai Lèg V 7:4:: Hb}imamci4 0 Zpbz)Mihz/ Fipg Hampimamci4 5 NP ]b}aýo 0> HG\BPAGC BO\PBOGHABO\I @gciob} ^gccg} Zb}g 2k Zbci|g =k Zgci} Zamg} Ao}|gcgmaýo
Mioi} 7 drbei
:
0:
:
:
:
:
MGCBO\GHABO\I =‑ Gm|a~g Gm|a~gmaý maýoo =‑ B}|apghabo| B}|apghabo|i} i} <‑ Nrbptg Nrbptg + }gcalg }gcalg}} 0‑ @gcý @gcýoo
Mghzi Mghzi o´ = 70‑
7
7
ZGP\B ZPAOMAZGC MAPMRA\I LB NRBPTG =2(<:‘ Zgpbdg}/ g!2 g`lihaogcb} `!Zb}g 2ke} miiplaogmaýo m! 0 }gc|i} ~gccg+ }gcalg + zgpbl/ l! Zpb}aýo+ 0 ~gccg}+ }gcalg q zgpbl b! ]gc|i lb ~gccg+}gcalg+ 0´ lb |pazcb+7v7/ |pazcb+7v7/
<:‑ 7
7
0
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0
7v7
70h
G/0! Zgp|ali} Mip|i} i drbei lb zi}amaýo/ 2v2v2
7 07
7 0 7
0 ~rbc|g} lb 2‑ 0
\\4=:‑ Mgh`ai gc eic eic hgv =‑
7
0 0
0 7
7 0
7
7
ZGP\B NAOGC PILGP ]RG^B 2‑ B]\APGP
Cb}aiogli}4 Gr}bomag}4 I`}bp~gmaiob}4
7:‑
Z/Pidi
Z/Gtrc
Z/@cgomi
Zbpaili4 Zpbzgpg|ipai Lèg D 7:4:: Hb}imamci4 0 Zpbz)Mihz/ Fipg Hampimamci4 5 NP ]b}aýo 05 HG\BPAGC BO\PBOGHABO\I @gciob} ^gccg} Zb}g 2k Zbci|g =k Zgci} Zamg} Ao}|gcgmaýo
Mioi} 7 drbei
:
0:
:
:
:
:
Mghzi Mghzi o´ =
MGCBO\GHABO\I 2‑ PILGP ]RG^B =‑ B]\APG B]\APGP P 7:‑ BDBPMAMAI LB LB ZG]B BO KAMK Mio naogcatgmaýo/
77
1
1
5
2
7:
6
0
ZGP\B ZPAOMAZGC G/7! MIO]BP^GMAÝO LB @GCÝO
07
\\40v7:‑ \\40v7:‑ lb mio}bp~gmaý mio}bp~gmaýoo lb `gcýo G 0 |iwrb} hçvahi/ \Z4 =‑
7 0
5V5+7 MGHZI EPGOLB
7
0
07
0 7
70
7
7 0
Bwrazi wrb lbnabolb hgpmgdb aola~alrgc/
G/0! ZGP\ALI 5V5 MGHZI EPGOLB \\472‑ Hgpmgdb Hgpmgdb aola~alrgc aola~alrgc ca`pb lb |iwrb}/
7 07
7 0 7
0
7
0 0
0 7
7 0
7
7
ZGP\B NAOGC B]\APGP G@LIHAOGCB]
Cb}aiogli}4 Gr}bomag}4 I`}bp~gmaiob}4
Z/Pidi
Z/Gtrc
Z/@cgomi
Mioi} 7 drbei
Zbpaili4 Zpbzgpg|ipai Lèg ^ 7:4:: Hb}imamci4 0 Zpbz)Mihz/ Fipg Hampimamci4 5 NP ]b}aýo 06 HG\BPAGC BO\PBOGHABO\I @gciob} ^gccg} Zb}g 2k Zbci|g =k Zgci} Zamg} Ao}|gcgmaýo :
0:
:
:
:
<
Mghzi Mghzi o´ = 0>‑
MGCBO\GHABO\I 2‑ Gm|a Gm|a~g ~gma maýo ýo 70‑ 70‑ Piol Pioli} i} ]gcalg} lb ~bcimalgl lb pbgmmaýo pbgmmaýo
0
7 7
=
0
<
<
ZGP\B ZPAOMAZGC ^BCIMALGL GMMAIOB] MIH@AOGLG]
2:‑
7
\\4= ^rbc|g} ^rbc|g} g mglg cgli/ \Z4 2‑
0
=
7
72‑ 72‑ ZG ZGP\A P\ALI LI 6v6 6v6
\\472‑ = > <
<
=
>
7
7
2 2 0
0 1
ZGP\B NAOGC B]\APGP G@LIHAOGCB]
Cb}aiogli}4 Gr}bomag}4 I`}bp~gmaiob}4
7:‑
Z/Pidi
Z/Gtrc
Z/@cgomi
Mioi} 7 drbei
Zbpaili4 Zpbzgpg|ipai Lèg C 7:4:: Hb}imamci4 0 Zpbz)Mihz/ Fipg Hampimamci4 6 PN ]b}aýo 01 HG\BPAGC BO\PBOGHABO\I @gciob} ^gccg} Zb}g 2k Zbci|g =k Zgci} Zamg} Ao}|gcgmaýo :
0:
:
:
:
:
MGCBO\GHABO\I
Mghzi Mghzi o´ = 77‑
2‑ Pilgp Pilgp }rg~b }rg~b =‑ B}|apg B}|apgpp =‑ Mgcbo|ghabo Mgcbo|ghabo|i |i fgmag cg P
ZGP\B ZPAOMAZGC G! PB]A]\BOMAG/
\ili} ci} dreglipb} wrb fgo dregli +<2‑/
L
M
@
>:‑
@! Pbmrzbpgmaýo/ \ili} ci} dreglipb} wrb fgo dregli +<2‑/
G
Mgppbpg mio|aorg4 0 }bpab} lb 7:‑ Mglg ~rbc|g }rg~b pbgcatgp rog lageiogc gc >:(5:" G! @! M! L!
2 Zb}g 2 Ke}+ zpb}aýo +]gcalg +]gcalg <: h|}/ h|}/ 2 G`lihaogcb} + ~gccg + }gcalg }gcalg =: h|} 2 ncbvaiob} lb `pgti}+tae(tge+}gcalg `pgti}+tae(tge+}gcalg 0: h|}/ 2 @gcio = Ke}+~gccg+ Ke}+~gccg+}gca }gcalg lg 7: h|}
\\4 7 v }bpab lb 6‑ 7 v }bpab lb 7:‑ \Z4 0‑ 0
G/0! DRBEI LB ZI]AMAÝO
0 7 2 2
7
0
\\47v7:‑ \\47v7:‑ a 7v70‑ hz4=‑ L4 Mghzi zbwrb÷i/ =v72 g`l/
=
=
<
G/=! ZGP\ALI IZMAIOGC LB
7:‑
Z/Pidi
Z/Gtrc
Z/@cgomi
Mioi} 7 drbei
Zbpaili4 Zpbzgpg|ipai Lèg V 7:4:: Hb}imamci4 0 Zpbz)Mihz/ Fipg Hampimamci4 6 PN ]b}aýo =: HG\BPAGC BO\PBOGHABO\I @gciob} ^gccg} Zb}g 2k Zbci|g =k Zgci} Zamg} Ao}|gcgmaýo <
0:
7
:
:
6
MGCBO\GHABO\I =‑ Gm|a~g Gm|a~gmaý maýoo =‑ B}|apghabo| B}|apghabo|i} i} <‑ Nrbptg Nrbptg + }gcalg }gcalg}} 0‑ @gcý @gcýoo
7
7
ZGP\B ZPAOMAZGC MAPMRA\I LB NRBPTG <2‘ Zgpbdg}/ g!2 ]kazzaoe `! 0 }gc|i} ~gccg+ }gcalg + zgpbl/ m! ]gc|i ~gccg+zpb}aýo+ }gcalg q Zgpbl l! 7: Miiplaogmaýo 2Ke}/ l! Lb}zcgtghabo|i cg|bpgc bo Tae(tge+~gccg+zgpbl+|api/ \\]4<2‘ HZ4=‑ 6 pbzb|amaiob}
Mghzi Mghzi o´ = 70‑
<:‑
7
7
0
0
Zgpbl q |api
ZGP\B NAOGC PILGP ]RG^B 2‑ B]\APGP
Cb}aiogli}4 Gr}bomag}4 I`}bp~gmaiob}4 Erbppg }b nrb mio nab`pb
7:‑
Z/Pidi
Z/Gtrc
Z/@cgomi
Zbpaili4 Zpbzgpg|ipai Lèg V 754:: Hb}imamci4 0 Zpbz)Mihz/ Fipg Hampimamci4 6 PN ]b}aýo =7 HG\BPAGC BO\PBOGHABO\I @gciob} ^gccg} Zb}g 2k Zbci|g =k Zgci} Zamg} Ao}|gcgmaýo
Mioi} 7 drbei
:
0:
:
:
:
MGCBO\GHABO\I
:
Mghzi Mghzi o´ = 7=‑
2‑ PILGP PILGP ]RG^B ]RG^B =‑ B]\APG B]\APGP P 2‑ MGCBO\GHABO\I MIO @GCÝO
ZGP\B ZPAOMAZGC
2:‑
ZGP\ALI] MIP\I] = BWRAZI]4 2v2v2 MGHZI EPGOLB 0 ^RBC\G] LB ZGP\ALI] LB 2‑ 72(0:‑ MGH@AI MGH@AI GC EIC EIC 7 0 0
0 0
7
0 7
7 7
7 7
ZGP\B NAOGC B]\APGP
Cb}aiogli}4 Gr}bomag}4 I`}bp~gmaiob}4
7:‑
Z/Pidi
Z/Gtrc
Z/@cgomi
Mioi} 7 drbei
PILGP ]RG^B 2‑ B]\APGP =‑ 2 ]GCALG] MIP\G] LB 7:(72h
Zbpaili4 Zpbzgpg|ipai Lèg D 7:4:: Hb}imamci4 0 Zpbz)Mihz/ Fipg Hampimamci4 6 PN ]b}aýo =0 HG\BPAGC BO\PBOGHABO\I @gciob} ^gccg} Zb}g 2k Zbci|g =k Zgci} Zamg} Ao}|gcgmaýo 7:
:
:
:
<
Mghzi Mghzi o´ =
MGCBO\GHABO\I
=:‑
ZGP\B ZPAOMAZGC
2:‑
7 7
PB]A]\BOMAG4 07 ‖ LB \PG@GDI LB PB]A]\BOMAG PB]A]\BOMAG MIO MGH@AI] LB PA\HI 5]BPAB 5]BPAB] ] LB =‑ & 7‑ ]RG ]RG^B# ^B# 7‑ 7‑ PA\HI# PA\HI# 7‑ 7‑ NRBP\B NRBP\B!! Bc haor|i nrbp|b |abob wrb fg`bp mgh`ai} lb }bo|ali# lb lapbmmaýo q ao|bpziobp rog gmmaýo lb nrbptg bo cg }gcalg
Drbei Drbei lb zi}ama zi}amaýo ýo fgmag fgmag cg Pb}a Pb}a}|b }|boma omag/ g/ ‑ 7 }bpab }bpab lb 6‑ 6‑ 7 }bpab }bpab lb 7:‑ 7:‑
0
7
7 =
7 =
\Z4 =‑ i 370: 370:z) z)h h Mghzi lb zbwrb÷i zbwrb÷i g epgolb/ epgolb/
=
ZGP\B NAOGC PILGP ]RG^B 2‑ B]\APGP
Cb}aiogli}4 Gr}bomag}4 I`}bp~gmaiob}4 ^èm|ip }b nrb fg`bp gc lim|ip Zprog
0
0 <
<
7:‑
Z/Pidi
Z/Gtrc
Z/@cgomi
Mioi} 7 drbei
Zbpaili4 Zpbzgpg|ipai Lèg ^ 7:4:: Hb}imamci4 0 Zpbz)Mihz/ Fipg Hampimamci4 6 PN ]b}aýo == HG\BPAGC BO\PBOGHABO\I @gciob} ^gccg} Zb}g 2k Zbci|g =k Zgci} Zamg} Ao}|gcgmaýo :
7:
:
:
<
Mghzi Mghzi o´ =
=:‑
MGCBO\GHABO\I Pilgp <‑ B}|apgp =‑ Hi`acalgl Hi`acalgl gp|amrcgp gp|amrcgp =‑
ZGP\B ZPAOMAZGC Bdbpmamai Bdbpmamai lb zg}b zg}b
=
>:‑ 7
7
Aoamagp ci} bdbpmamai} bdbpmamai} mio ro }ici `gcýo# rog ~bt b}|g`cbmal b}|g`cbmalgg cg laoçhamg ao|pil ao|pilrma rmapp bc 0´ `gcýo/ `gcýo/ 7
7
7
7
0 7
0 `gciob} `gciob} g cg ~bt ~bt = ~rbc|g} ~rbc|g} lbpbmfg lbpbmfg q atwrabpl atwrabplgg
7
7
7
7
7
7
7
7
0 `gciob} `gciob} g cg ~bt ~bt = ~rbc|g} ~rbc|g} lbpbmfg lbpbmfg q atwrabpl atwrabplgg
7
7`gcio g cg ~bt = ~rbc|g} ~rbc|g} lbpbmfg lbpbmfg q atwrab atwrabplg plg
DRBEI LB ZI]AMAÝO MIO 77v77 MIO CI] ZIP\BPI] LBO\PI LBC ÇPBG/
ZGP\B NAOGC
Cb}aiogli}4 Gr}bomag}4 I`}bp~gmaiob}4
7:‑
Z/Pidi
Z/Gtrc
Z/@cgomi
Mioi} 7 drbei
Zbpaili4 Zpbzgpg|ipai Lèg ] 7:4:: Hb}imamci4 0 Zpbz)Mihz/ Fipg Hampimamci4 6 PN ]b}aýo =< HG\BPAGC BO\PBOGHABO\I @gciob} ^gccg} Zb}g 2k Zbci|g =k Zgci} Zamg} Ao}|gcgmaýo 7:
:
:
:
<
Mghzi Mghzi o´ =
=:‑
MGCBO\GHABO\I 0
2‑ 70‑ 70‑ =‑ >
Gm|a Gm|a~g ~gma maýo ýo Piol Pioli} i}
7 7
=
0
<
<
ZGP\B ZPAOMAZGC
22‑
7
^bcimalgl zgpbdg}
7
\\4 =v mglg cgli hz4=‑
0
7
0
7
\\472‑ 7
Zgp|ali 6v6 \\4 72‑ 7 0 7 0
0 7 7
7
0 7
0 0
7
0
7
B}|pg|beag ZGP\B NAOGC
Cb}aiogli}4 Gr}bomag}4 I`}bp~gmaiob}4
\\4 72‑ 7:‑
Z/Pidi
Z/@cgomi
Z/Gtrc
Mioi} 7 drbei
Zbpaili4 Mihzb|amaýo Lèg C 7:4=: Hb}imamci4 = Mihzb|amaýo Fipg Hampimamci4 1 Np ]b}aýo =2 HG\BPAGC BO\PBOGHABO\I @gciob} ^gccg} Zb}g 2k Zbci|g =k Zgci} Zamg} Ao}|gcgmaýo 0:
:
:
:
:
:
Mghzi Mghzi o´ = 77‑
MGCBO\GHABO\I Eprzi G! 2‑ Pilgp Pilgp }rg~b }rg~b =‑ B}|apg B}|apgpp =‑ Mgcbo|ghabo Mgcbo|ghabo|i |i fgmag cg N
Eprzi @!
^gccg
7
2‑ Pilgp Pilgp }rg~b }rg~b =‑ B}|apg B}|apgpp 0
^gccg >:‑ ZGP\B ZPAOMAZGC @! Pbmrzbpgmaýo/ \ili} ci} dreglipb} wrb fgo dregli +<2‑/
G/7! NRBPTG PB]A]\BOMAG
\ili} ci} dreglipb} wrb fgo dregli ( <2‑/
Drbei lb zi}amaýo ]bpab} lb =‑ mio zpb}aýo q ro 7‑=:‘ lb |abhzi lb pbmrzbpgmaýo
Mgppbpg mio|aorg }rg~b mio rog }gcalg lb = la}|gomag} gc 2:#>: q 5:" lb}zrá} lb mglg ~rbc|g40 }bpab} lb 6‑ M
@
G
0
0:h
=:h
<:h
0 7 2 2
7
0
=
=
<
]rg~b
G`lihaogcb} =v72 g`l lb 2 g`lihaogcb} la}|ao|i}// la}|ao|i}// G/0! ZGP\ALI IZMAIOGC LB
ZGP\B NAOGC B}|apgp/ Cb}aiogli}4 Gr}bomag}4 I`}bp~gmaiob}4
7:‑
Z/Pidi
Z/Gtrc
Z/@cgomi
Mioi} 7 drbei
Zbpaili4 Mihzb|amaýo Lèg V 7:4=: Hb}imamci4 = Mihzb|amaýo Fipg Hampimamci4 1 Np ]b}aýo => HG\BPAGC BO\PBOGHABO\I @gciob} ^gccg} Zb}g 2k Zbci|g =k Zgci} Zamg} Ao}|gcgmaýo 2
0:
:
7
5
<
MGCBO\GHABO\I 2‑ Pilgp Pilgp }rg~b }rg~b =‑ B}|apg B}|apgpp =‑ Mgcbo|ghabo Mgcbo|ghabo|i |i fgmag cg N
7
Mghzi Mghzi o´ = \\472‑
^gccg
Gmmaýo lb nrbptg
0 ^gccg
ZGP\B ZPAOMAZGC NRBP NR BPTG TG ( p
\\4>:‑
7
= ~rbc|g} \\4 7<‘(72‘ hz47‑0:‘ HZ4=‑
= ~rbc|g} zip cgli/ 7/( 7: G`lihaogcb}+~g G`lihaogcb}+~gccg+ ccg+ zg}b+}gcalg zg}b+}gcalg nrbpg bc çpbg çpbg 0/( 7: Miiplaogmaý Miiplaogmaýoo zb}g+ 0 ~gccg}+}gcalg q mbo|pi =/( Miipl)}kaz+} Miipl)}kaz+}gcalg gcalg gc 7p zgci
0 0 0 0
= = =
=
7
7
7
7
ZGP\ALI MIO < MIHILAOB]4 @r}mgp bc mbo|pi zip cg} `golg} q zi|bomagp bc drbei lb mg`btg/ G! 6‑ 6‑ Drbe Drbeii lb lb mg` mg`bt btgg @! 6‑ 6‑ Zgp|al Zgp|ali} i} mio mbo|pi mbo|pi}} M!72‑ Zgp|ali Zgp|ali oiphgc q eic lb mg`btg ~gcb li`cb/
7 = 0 7 =
=
7 7
0 0 7
0 7
0
=
7
CI] ZGP\ALI] CI] ZILBA] PBGCATGP ZIP CG \GPLB/
ZGP\B NAOGC B]\APGP
Cb}aiogli}4 Gr}bomag}4 I`}bp~gmaiob}4
\\47:‑
Z/Pidi
Z/Gtrc
Z/@cgomi
G Gm|a~gmaýo Gm|a~gmaýo =‑ B}|apgp =‑ Naogcatgp Naogcatgp mgcbo|ghab mgcbo|ghabo|i o|i mio bdbpmamai bdbpmamai lb |api/
Mioi} 7 drbei
Zbpaili4 Mihzb|amaýo Lèg D 7:4=: Hb}imamci4 = Mihzb|amaýo Fipg Hampimamci4 1 Np ]b}aýo =5 HG\BPAGC BO\PBOGHABO\I @gciob} ^gccg} Zb}g 2k Zbci|g =k Zgci} Zamg} Ao}|gcgmaýo 0
0:
=
:
:
MGCBO\GHABO\I M
@
>
:
Mghzi Mghzi o´ = \\472‑
=
=
0
0
7
7 7 ZGP\B ZPAOMAZGC
G!= ~rbc|g} miol+|api @!= ~rbc|g} zgpbl+|api M!= ~rbc|g} zg}b }berolg }berolg caobg caobg + zgpbl +|api/
0
\\45:‑
Nrbptg(p zip zgpbdg}/
]bpab}4> pbz/ Hz40‑=:‘
7
g!7: g`l/+ zpb}aýo+ }gcalg 7:h + zgpbl `!=ke}+0i} |pazcb+ }gcalg 72h + zgpbl m!Miipl/+0 ~gccg} zbwrb÷g}+}gcalg 0:h +zgpbl qMfr|/
0 7
^gccg} ^gccg} zbwrb÷g} zbwrb÷g}
DRBEI LB ZI]AMAÝO MIO ZPB]AÝO
0
Bwrazi zip nrbpg Bwrazi lbo|pi Bwrazi lb}mgo}g
0 7 2 2
7
0‑ |abhzi lb |pg`gdi q mio|ghi} ci} `gciob} `gciob} pbmrzbpgli}
0
=
Mglg bwrazi |abob wrb zg}gp zip bc mbo|pi = ~bmb} bo mglg }bpab lb |pg`gdi/ =
<
Pbgcatgp 0 }bpab}/
ZGP\B NAOGC B]\APGP
Cb}aiogli}4 Gr}bomag}4 I`}bp~gmaiob}4
\\47:‑
Z/Pidi
Z/Gtrc
Z/@cgomi
Zbpaili4 Mihzb|amaýo Lèg ^ 7:4=: Hb}imamci4 = Mihzb|amaio Fipg Hampimamci4 1 Np ]b}aýo =6 HG\BPAGC BO\PBOGHABO\I @gciob} ^gccg} Zb}g 2k Zbci|g =k Zgci} Zamg} Ao}|gcgmaýo
Mioi} 7 drbei
:
0:
:
:
<
:
Mghzi Mghzi o´ = 02‑
MGCBO\GHABO\I 2‑ =‑ 70‑ 70‑ <
Gm|a Gm|a~g ~gma maýo ýo B}|a B}|apg pghab habo| o|i} i} Piol Pioli} i}
0
0 7
7 7
=
0
0 7 <
<
ZGP\B ZPAOMAZGC ^bcimalgl Zip |pai}
2:‑
7
7
=vcgli \\40:‑ hz4=‑
=vcgli hz42‑
=
7
0
0
Zgp|ali 6v6 \\4 70‑
7
=
6 >
< 7
< 6
0
5
=
5
7
2
2
1 >
ZGP\B NAOGC B]\APGP
Cb}aiogli}4 Gr}bomag}4 I`}bp~gmaiob}4
1
7:‑
Z/Pidi
Z/Gtrc
Z/@cgomi
Mioi} 7 drbei
Zbpaili4 Mihzb|amaýo Lèg C 7:4=: Hb}imamci4 = Mihzb|amaio Fipg Hampimamci4 7: N^ ]b}aýo =1 HG\BPAGC BO\PBOGHABO\I @gciob} ^gccg} Zb}g 2k Zbci|g =k Zgci} Zamg} Ao}|gcgmaýo 0:
<
:
0
<
2
Mghzi Mghzi o´ = 77‑
MGCBO\GHABO\I Eprzi G!
Eprzi @!
2‑ Pilgp Pilgp }rg~b }rg~b =‑ B}|apg B}|apgpp =‑ Mgcbo|ghabo Mgcbo|ghabo|i |i fgmag cg N
2‑ Pilgp Pilgp }rg~b }rg~b =‑ B}|apg B}|apgpp
>:‑ ZGP\B ZPAOMAZGC @! Pbmrzbpgmaýo/ \ili} ci} dreglipb} wrb fgo dregli +<2‑/
Mgppbpg mio|aorg }rg~b |pb} cgli} + lageiogc gc 2:"# mgppbpg mio|aorg = cgli} + lageiogc gc 5:"/ 0 }bpab} lb 7:‑
7 2Ke 0 2Ke B}zgo|gzgdgpi} 2Ke}+Miiplaogmaio+}kazao 2Ke}+Miiplaogmaio+}kazaoe+0 e+0 ~gccg}+tae(tge+}gcalg ~gccg}+tae(tge+}gcalg 72h 7 ^gccg zbwrb÷g q 7~gccg epgolb
2:"
5:"
\\4 = }bpab} lb > }gcalg} \Z4 0‑
]rg~b
G`lihaogcb} =v72 g`l lb 2 g`lihaogcb} la}|ao|i}// la}|ao|i}// G/0! DRBEI LB ZI]AMAIO I ZGP\ALI] MIP\I] LBZBOLABOLI LBC O´ LB DREGLIPB] DREGLIPB] MGHZI ZBWRB×I/
ZGP\B NAOGC B]\APGP + G@LIHAOGCB]
Cb}aiogli}4 Gr}bomag}4 I`}bp~gmaiob}4
7:‑
Z/Pidi
Z/Gtrc
Z/@cgomi
Mioi} 7 drbei
Zbpaili4 Mihzb|amaýo Lèg V 7:4=: Hb}imamci4 = Mihzb|amaio Fipg Hampimamci4 7: N^ ]b}aýo <: HG\BPAGC BO\PBOGHABO\I @gciob} ^gccg} Zb}g 2k Zbci|g =k Zgci} Zamg} Ao}|gcgmaýo <
0:
:
0
<
2
MGCBO\GHABO\I
Mghzi Mghzi o´ = 7:‑
GM\A^GMAÝO =‑ B]\APGP =‑ MGCBO\GP FGMAG CG NRBPTG <‑
5:‑
ZGP\B ZPAOMAZGC Mapmra|i Nrbptg ^bcimalgl4
7
Zgpbdg}4 7 2 G`lihaogcb} Miiplaogmaýo `gcýo v0 }gc|i ~gccg \pazcb} v0}gc|i ~gccg+lb~icrmaýo ]gcalg lb|pç} hr÷bmi}+ |api 7 2 Ncbvaiob} Ncbvaiob} `pgti} `pgti} Miiplaogmaýo zb}g V0 }gc|i ~gccg#zg}gp v zamg} ]gcalg q }ka zaoe V0}gc|i ~gccg+lb~icrmaýo ]gcalg lb|pç} hr÷bmi}+|api 7 \\]402(=:‘ < pbzb|amaiob} g mglg cgli
0
0
v2 z \pazcb
7
7
ZGP\ALI MIP\I] = BWRAZI] LI@CB GPBG Nihbo|gp bc dregp lb mgpg q mfr|/ 0 ~rbc|g} lb <‑ 72(0:‑ Mgh`ai Mgh`ai gc eic
v2 `
7 0 7
7
0 0 7
0 7
0
7
ZGP\B NAOGC B]\APGP
Cb}aiogli}4 Gr}bomag}4 I`}bp~gmaiob}4
7:‑
Z/Pidi
Z/Gtrc
Z/@cgomi
Mioi} 7 drbei
Zbpaili4 Mihzb|amaýo Lèg D 7:4=: Hb}imamci4 = Mihzb|amaio Fipg Hampimamci4 7: N^ ]b}aýo <7 HG\BPAGC BO\PBOGHABO\I @gciob} ^gccg} Zb}g 2k Zbci|g =k Zgci} Zamg} Ao}|gcgmaýo :
0:
:
:
:
:
Mghzi Mghzi o´ = 7:‑
MGCBO\GHABO\I GM\A^GMAÝO =‑ B]\APGP =‑ MGCBO\GP MIO DRBEI] LB ZBP]BMRMAÝO <‑
6:‑
ZGP\B ZPAOMAZGC = la}|gomag}
PB]A]\BOMAG 72h
0:h
02h
7
\\4 7 ]bpab ]bpab lb 6‑ 6‑ 7 }bpab }bpab lb >‑ >‑ \Z4 =‑ ≬7::z)h
0
Gmmaýo lb nrbptg nrbptg zip zgpbdg} 2h
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:
:
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0:
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6
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7
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0:
:
:
>
7:
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:
0:
:
:
:
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Mghzi Mghzi o´ = 7:‑
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Zbpaili4 Mihzb|amaýo Lèg H 7:4=: Hb}imamci4 = Mihzb|amaio Fipg Hampimamci4 70 ^ ]b}aýo <1 HG\BPAGC BO\PBOGHABO\I @gciob} ^gccg} Zb}g 2k Zbci|g =k Zgci} Zamg} Ao}|gcgmaýo 0:
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Mghzi Mghzi o´ = 7:‑
0 7 7
=
0
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6:‑
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7
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Zbpaili4 Mihzb|amaýo Lèg D 7:4=: Hb}imamci4 = Mihzb|amaio Fipg Hampimamci4 70 ^ ]b}aýo 2: HG\BPAGC BO\PBOGHABO\I @gciob} ^gccg} Zb}g 2k Zbci|g =k Zgci} Zamg} Ao}|gcgmaýo 0:
:
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:
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MGCBO\GHABO\I Eprzi G!
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Mghzi Mghzi o´ = 7:‑
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Mioi} 7 drbei
:
7:
:
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:
Mghzi Mghzi o´ =
=:‑
MGCBO\GHABO\I Pilgp <‑ B}|apgp =‑ Hi`acalgl Hi`acalgl gp|amrcgp gp|amrcgp =‑ \bphaogp lb mgcbo|gp mio bc bdbpmamai lb zg}b/
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7
7
7
0 7
7
7
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7
7
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7
7
7
7
7
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0:
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2
7:
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Mghzi Mghzi o´ = 7:‑
0 7 7
=
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0:
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MGCBO\GHABO\I Eprzi G!
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:
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7
2
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MGCBO\GHABO\I
Mghzi Mghzi o´ = 7:‑
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0
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:
:
:
2
:
Mghzi Mghzi o´ = 7:‑
MGCBO\GHABO\I 2‑ Pilgp Pilgp }rg~b }rg~b =‑ B}|apg B}|apgpp =‑ Mgcbo|ghabo|i fgmag cg pb}a}|bomag/
6:‑
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0
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Zbpaili4 Mihzb|amaýo Lèg ^ 7:4=: Hb}imamci4 < Mihzb|amaýo Fipg Hampimamci4 7= ^n ]b}aýo 2> HG\BPAGC BO\PBOGHABO\I @gciob} ^gccg} Zb}g 2k Zbci|g =k Zgci} Zamg} Ao}|gcgmaýo 0:
:
:
:
0
:
Mghzi Mghzi o´ = 7:‑
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GMG@G MIO MIOLRMMAÝO +\API ROG ^BT BO MGLG CGLI ]ABHZPB PI\GHI] BO CG LAPBMMAÝO LIOLB ^G BC @GCÝO GMG@GLI MIO \API 7 7 7 7 7
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7
7 7
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7
= >
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7:‑
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0:
:
:
2
:
MGCBO\GHABO\I 2‑ =‑ 70‑ 70‑ >
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Mghzi Mghzi o´ = 7:‑
0 7 7
=
0
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<
6:‑
ZGP\B ZPAOMAZGC ^BCIMALGL 7
77
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7:
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1
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7:
7:
77 77
ZGP\ALI ZGP\ALI ¸ MGHZI \\472‑
6 >
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6 5
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7
2
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2
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1
7:‑
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Z/Gtrc
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Mioi} 7 drbei
0:
:
:
:
:
2
MGCBO\GHABO\I Eprzi G!
Eprzi @!
2‑ Pilgp }rg~b =‑ B}|apg B}|apgpp =‑ Mgcbo|ghabo|i fgmag fgmag cg Pb}a}|bomag/
2‑ Pilgp Pilgp }rg~b }rg~b =‑ B}|apg B}|apgpp
Mghzi Mghzi o´ = 7:‑
>:‑ ZGP\B ZPAOMAZGC @! Pbmrzbpgmaý Pbmrzbpgmaýo/ o/ ¸ MGHZI G! Bo|pboghabo|i/ \ili} ci} dreglipb} wrb fgo dregli +<2‑/ \ili} ci} dreglipb} dreglipb} wrb fgo fgo dregli ” lb <2‑/ 0 }bpab} lb 7:‑ 7:‑ lb pilgp gc >:"/ >:"/ Mgppbpg Zgp|ali Zgp|ali 1v1 dro|i gc i} lbc lbc @/ ¿ lb mghzi mio|aorg g ro pa|hi oiphgc & Oi hrq }rg~b!/
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7: = =
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7:‑
Z/Pidi
Z/Gtrc
Z/@cgomi
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Zbpaili4 Mihzb|amaýo Lèg V 7:4=: Hb}imamci4 < Mihzb|amaýo Fipg Hampimamci4 7< PN ]b}aýo 21 HG\BPAGC BO\PBOGHABO\I @gciob} ^gccg} Zb}g 2k Zbci|g =k Zgci} Zamg} Ao}|gcgmaýo 6
0:
:
0
=
:
MGCBO\GHABO\I =‑ Gm|a~gmaýo Gm|a~gmaýo =‑ B}|apghab B}|apghabo|i} o|i} > ]gcalg} lb 2h Miipl+2h Miipl+2h nrbptg+2h }gcalg }gcalg
Mghzi Mghzi o´ = 7:‑
7 7
ZGP\B ZPAOMAZGC NRBPTG PB]A]\BOMAG4
Z
7
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7
0
0
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ZGP\ALI = BWRAZI] MGHZI EPGOLB/ \\4 Zgp|ali} lb > haor|i} habo|pg} bc i|pi bwrazi bwrazi pbgcatg g`lihaogcb}# b}|apg/// 0 ^RBC\G]
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7:‑
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Z/Gtrc
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Zbpaili4 Mihzb|amaýo Lèg D 7:4=: Hb}imamci4 < Mihzb|amaýo Fipg Hampimamci4 7< PN ]b}aýo >: HG\BPAGC BO\PBOGHABO\I @gciob} ^gccg} Zb}g 2k Zbci|g =k Zgci} Zamg} Ao}|gcgmaýo 6
0:
:
0
:
=
Mghzi Mghzi o´ = 7:‑
MGCBO\GHABO\I 2‑ Pilgp Pilgp }rg~b }rg~b =‑ B}|apg B}|apgpp 2‑ Mgcbo|ghabo|i fgmag fgmag cg pb}a}|bomag/
ZGP\B ZPAOMAZGC
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PB]A]\BOMAG \\4 72‑ MIO MG MGH@AI H@AI] ] LB PA\HI/ PA\HI/ 5 }bpab }bpab}} lb 0‑ & 7‑ }rg~b+ }rg~b+ 7‑ g pa|hi pa|hi + 7‑ nrbp|b! nrbp|b! MIO]BP^GMAÝO @GCIO 6v6+0 mihilaob} gzpv/
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0 <
7 6
7
1
5
5 2
7
<
0
>
0
5 <
=
2
>
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6
>
2
5 6 <
7
7
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0v0
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Mioi} 7 drbei
Zbpaili4 Mihzb|amaýo Lèg ^ 7:4=: Hb}imamci4 < Mihzb|amaýo Fipg Hampimamci4 7< PN ]b}aýo >7 HG\BPAGC BO\PBOGHABO\I @gciob} ^gccg} Zb}g 2k Zbci|g =k Zgci} Zamg} Ao}|gcgmaýo 0
0:
:
:
2
MGCBO\GHABO\I 2‑ Pilg Pilgpp }rg~b }rg~b// =‑ B}|apg B}|apghab habo|i o|i}/ }/ 70‑ 70‑ Piol Pioli} i} 2v0 2v0 > ]gcalg} lb4 2h miipl/+]kazaoe+ ~gccg zbwrb÷g+tae(tge+ }gcalg 2h/
>
Mghzi Mghzi o´ = 7:‑
0
7 7 7
=
0
0 <
<
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7
0
ZGP\ALI ZGP\ALI ¸ MGHZI \\472‑
6 >
< 7
<
6 5
=
0 5
7
2
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2
1
72‑
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:
=
Mghzi Mghzi o´ =
MGCBO\GHABO\I Pilgp }rg~b 2‑ B}|apgp =‑ mgcbo|gp mgcbo|gp fgmag cg Pb}a}|bomag Pb}a}|bomag >‑ bc eprzi G Mgcbo|gp fgmag cg ~bcimalgl bc eprzi @
5:‑
ZGP\B ZPAOMAZGC G! Pbmrzbpgmaýo/ \ili} ci} dreglipb} wrb fgo dregli + lb <2‑/
@! Bo|pboghabo|i/ \ili} ci} dreglipb} wrb fgo dregli ( <2‑/ ^bcimalg ^bcimalgl/ l/
Hb|ilicieèg lb pbmrzbpgmaýo/
7
0 }bpab} lb > pbzb|amaiob} v 5:h <
0
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0
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7 7
0
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07 = 0
= <
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7
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72‑
Z/Pidi
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:
:
=
Mghzi Mghzi o´ =
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5:‑ ZGP\B ZPAOMAZGC @! Bo|pboghabo|i/ \ili} ci} dreglipb} wrb G! Pbmrzbpgmaýo/ fgo dregl dregli i ( <2‑/ <2‑/ \ili} ci} dreglipb} wrb fgo dregli + lb <2‑/ 77 Hb|iliciea Hb|ilicieagg lb pbmrzbpgmaýo/ pbmrzbpgmaýo/ 7 >h 2h 7¤ }bpab lb < pbzb|amai pbzb|amaiob} ob} v >:h 0i} |pazcb 0¤ }bpab lb > pbzb|amai pbzb|amaiob} ob} v 2:h 7:h =¤ }bpab lb 6 pbzb|amai pbzb|amaiob} ob} v <:h 0
hz4 0‑ B}|apg B}|apgp/ p/ HZ4<‑
7 7
=
0
Naogc 72(0:‑ Pioli 7¤ ]bpab4 < pbzb|amaiob} pbzb|amaiob} gmg`gli mio zgpbl 0¤ ]bpab4 < pbzb|amaiob} pbzb|amaiob} gmg`gli mio miolrmmaýo+|api =¤ ]bpab4 < pbzb|amaiob} pbzb|amaiob} gmg`gli mio 7v7
<
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7 7
0 7
07 = 0
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<
7:
=
Mghzi Mghzi o´ = 7<‑
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7
0
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Cb}aiogli}4 Gr}bomag}4 I`}bp~gmaiob}4
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7
7
72‑
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5
7:
Mghzi Mghzi o´ =
MGCBO\GHABO\I Mgcbo|ghabo|i ebo =‑ Mgcbo|gp zgpg ^/ 6‑ Bd/Miip/ /( ]kaz/7 ]kaz/7)Lb )Lbpp b Atw Atw /( 0(7 ) Lbp Lbp b Atw/ Atw/ /( Cg|/Lbp/)Lbp Cg|/Lbp/)Lbp// b Atw/ /( Cg|/Atw/)Lbp Cg|/Atw/)Lbp// b Atw/
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7 0
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0
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6 >
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6 5
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7
2
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2
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1
72‑
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6
:
2
1
Mghzi Mghzi o´ =
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0
7 7
=
0
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=
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6h
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72‑
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Zbpaili4 Mihzb|amaýo Lèg V 754:: Hb}imamci4 < Mihzb|amaio Fipg Hampimamci4 7> NP ]b}aýo >6 HG\BPAGC BO\PBOGHABO\I @gciob} ^gccg} Zb}g 2k Zbci|g =k Zgci} Zamg} Ao}|gcgmaýo Mghzi Mghzi o´ = 77‑
MGCBO\GHABO\I Pilgp 2‑ }rg~b }rg~b B}|apgp =‑ Iz|ahatgm Iz|ahatgmaýo aýo <‑
7
=
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0
‑ mghzi oiphgc/ oiphgc/ \abhzi lb zgr}g bo|pb }bpab} lb 0‘
0 7 2 7
=
0
=
=
<
Nrbptg(Nô|`ic =v5‑ 5v5 ]B MGH@AI LB@ALI G CG CCR^AG
7 7 7
07 = 0
= <
<
7
ZGP\B NAOGC B}|apgp Cb}aiogli}4 Gr}bomag}4 I`}bp~gmaiob}4
7:‑
Z/Pidi
Z/Gtrc
Z/@cgomi
Mioi}
Zbpaili4 Mihzb|amaýo Lèg D 7:4=: Hb}imamci4 < Mihzb|amaio Fipg Hampimamci4 7> NP ]b}aýo >1 HG\BPAGC BO\PBOGHABO\I @gciob} ^gccg} Zb}g 2k Zbci|g =k Zgci} Zamg} Ao}|gcgmaýo 6
:
MGCBO\GHABO\I
Mghzi Mghzi o´ = 7<‑
Pilgp 2‑ B}|apgp =‑ Mgcbo| Mgcbo|gp gp zgpg zgpg ccghgp ccghgp g cg pb}a} pb}a}|bo |bomag mag <‑
ZGP\B ZPAOMAZGC Mgppbpg –zgp|alg‘4
v1
7:h
7¤ }bpa }bpabb
v>
72h
Gmmaýo Nrbptg+}gcalg
v> v=
6:‑
0<
0:h 02h
Mgppbpg –wrb`pglg‘4
Gmmaio Nrbptg+}gcalg+tae(tge+}gcalg Nrbptg+}gcalg+tae(tge+}gcalg
0¤ }bpa }bpabb Lb ” la}|gomag la}|gomag g + la}|gomag/ la}|gomag/
Iplbo4 =v7:#72#0:#02h =v7:#72#0:h =v7:h \i|gc4 1v7:h >v72 q 0:h =v02h
Mihzb|amaýo4 = Bwrazi} Zgp|ali} mip|i}
v1
2h
v>
7:h
v>
72h
v=
0:h
5h
0<
1h 77h
02h 7 7
7 0
0 7 0
Gc naogc naogc 7:‑ lb mgh`ai gc eic eic
0
7 7
0
7
ZGP\B NAOGC B]\APGP
Cb}aiogli}4 Gr}bomag}4 I`}bp~gmaiob}4
72‑
Z/Pidi
Z/Gtrc
Z/@cgomi
Zbpaili4 Mihzb|amaýo Lèg ] 7:4=: Hb}imamci4 < Mihzb|amaio Fipg Hampimamci4 7> NP/ ]b}aýo 57 HG\BPAGC BO\PBOGHABO\I @gciob} ^gccg} Zb}g 2k Zbci|g =k Zgci} Zamg} Ao}|gcgmaýo
Mioi}
=
:
2
0
Mghzi Mghzi o´ =
MGCBO\GHABO\I Pilgp 2‑ Mgcbo|ghabo|i ebo =‑ Pioli} 7:‑ Mgcbo|gp zgpg ^/ 2 }gcalg}
0
7 7
<
7
=
0
<
ZGP\B ZPAOMAZGC
>:‑ 7
^BCIMALGL \\4= ~rbc|g} zip mglg cgli HZ4<‑
7
]gwrb lb `golg `golg nrbp|b nrbp|b gc zab+ zab+ }ici bo|pgp bo bc mghzi q wrblgp}b dro|i g cg caobg+zg}b g dreglip 0+ }gcalg }gcalg zip `golg+mbo|pi/ `golg+mbo|pi/
0 7 ]b go|amazg cg hr÷bmi+ dregp lb mgpg+zg}gp lb|pg} lb cg zamg+zg}b zamg+zg}b bo zpinrolalgl+ zpinrolalgl+ bo|pglg bo|pglg gc pbhg|b lb}zrá} lb}zrá} lb zg}gp zg}gp cg }berolg }berolg zamg/ zamg/
0
ZGP\ALI ZGP\ALI ¸ MGHZI \\472‑
6 >
< 7
6 5
=
7
2
ZGP\B NAOGC B]\PG\BEAG + B]\APGP
Cb}aiogli}4 Gr}bomag}4 I`}bp~gmaiob}4
<
0 5
2
> 1
1
72‑
Z/Pidi
Z/Gtrc
Z/@cgomi
Mioi}
Zbpaili4 Mihzb|amaýo Lèg C 7:4=: Hb}imamci4 2 Mihzb|amaio Fipg Hampimamci4 75 N~/ ]b}aýo 50 HG\BPAGC BO\PBOGHABO\I @gciob} ^gccg} Zb}g 2k Zbci|g =k Zgci} Zamg} Ao}|gcgmaýo =
:
:
:2
Mghzi Mghzi o´ =
MGCBO\GHABO\I
70‑
2‑ Pilgp Pilgp }rg~b }rg~b =‑ B}|apg B}|apgpp <‑ Mgcbo|ghabo|i fgmag cg P/ \ili bc bwrazi dro|i/
ZGP\B ZPAOMAZGC G! Bo|pboghabo|i/ G/7! Pb}a}|bomag Ci} wrb fgo dregli dregli ( <2‑/
0¤ ]bpab ]bpab 6‑ B}|apghabo|i}/
@! Pbmrzbpgmaýo/ \ili} ci} dreglipb} wrb fgo dregli +<2‑/ Mgppbpg mio|aorg4 0 }bpab} lb 6‑ Mglg ~rbc|g }rg~b pbgcatgp rog lageiogc gc >:(5:" B}|apgp \ili} ci} dreglipb} wrb wrb b}|bo `abo zrblbo dregp bc drbei lb zi}amaýo/
Pçzali Cbo|i
=:h <:h 2:h G/0! DRBEI LB ZI]AMAÝO
0 0 7 2 2
7
0
\\40v7:‑ hz4=‑ L4 Mghzi zbwrb÷i/ =v72 g`l/
=
=
<
GMG@GP MIO < ZGP\ALI] ZGP\ALI] LB <‑ MIO MGHZI ZBWRB×I/ ZBWRB×I/ BWRAZI] LB = I < DREGLIPB]/ ]ICI CI] DREGLIPB] WRB FGO DREGLI HRQ ZIMI I OI FGO DREGLI/ \\4<‑ \Z}40‑
ZGP\B NAOGC B}|apgp Cb}aiogli}4 Gr}bomag}4 I`}bp~gmaiob}4
>:‑
Z/Pidi
Z/Gtrc
Z/@cgomi
Mioi}
Zbpaili4 Mihzb|amaýo Lèg V 7:4=: Hb}imamci4 2Mihzb|amaio Fipg Hampimamci4 75 N~/ ]b}aýo 5= HG\BPAGC BO\PBOGHABO\I @gciob} ^gccg} Zb}g 2k Zbci|g =k Zgci} Zamg} Ao}|gcgmaýo =
:
0
MGCBO\GHABO\I 2‑ Pilgp Pilgp }rg~b }rg~b 0‑ B}|apg B}|apgpp <‑ Mgcbo|ghabo Mgcbo|ghabo|i |i fgmag cg Nrbptg
2
Mghzi Mghzi o´ = 77‑
^gccg
7
0
^gccg 5:‑
ZGP\B ZPAOMAZGC 7
G! Nrbptg(~ g!2 Ke}/ Miiplao/ `!0 ~gccg}+}gcalg 6h+ zgpbl m!]kazzaoe+~gccg+}gcalg+mbo|pi Dreglip @4 Zg}b+0 g`pap mbppgp+zg}b bo zpinrolalgl+bo|pglg gc pbhg|b \\4 2 pbzb|amaiob} lbpbmfg < pbzb|amaiob} atwrabplg \Z4<‑ 0v7: pbz/cbo|g}v pbz/cbo|g}v 0 g`lihaogcb} g`lihaogcb} la}|ao|i} la}|ao|i} ZILBHI] HIO\GP BC MAPMRA\I ZIP CI] LI] CGLI] Q PBGCATGP RO MBO\PI ZIP MGLG CGLI/
@ G
7
NR\@IC NRBPTG ZGP\ALI] MIP\I] < BWRAZI] LB < DREGLIPB] HGV/ 0 ~rbc|g} lb zgp|ali} lb =‑/ Gmmaiob} hrq mip|g}/ 0(= zg}b} q |api/
7 0
7
0 0 7
7
0
7
MIO CI] DREGLIPB] WRB ]I@PGO G@LIHAOGCB]/
ZGP\B NAOGC Pilgp }rg~b 2‑ B}|apgp
Cb}aiogli}4 Gr}bomag}4 I`}bp~gmaiob}4
7:‑
Z/Pidi
Z/Gtrc
Z/@cgomi
Mioi}
Zbpaili4 Mihzb|amaýo Lèg ^ 754:: Hb}imamci4 2 Mihzb|amaio Fipg Hampimamci4 75 N~/ ]b}aýo 5< HG\BPAGC BO\PBOGHABO\I @gciob} ^gccg} Zb}g 2k Zbci|g =k Zgci} Zamg} Ao}|gcgmaýo =
:
2
0
MGCBO\GHABO\I
Mghzi Mghzi o´ = 02‑
0
2‑ Pilgp Pilgp }rg~b }rg~b 76‑ 76‑ Piol Piolii
7 7
=
0
<
<
6:‑
ZGP\B ZPAOMAZGC BO\PBOGHABO\I \ÁMOAMI)\ÇM\AMI
=v70‑ Hz4=‑ MIO]BP^GMAÝO LB @GCIO BO ]RZBPAIPALGL 6V> ZPB]AÝO G CG ZBPLALG LB @GCÝO PI@I LB @GCÝO Q ]GCALG PÇZALG ZGPG BC I\PI MGHZI/
0 0 0
0
6v> 0
0
0
0
ZGP\B NAOGC B]\APGP
Cb}aiogli}4 Gr}bomag}4 I`}bp~gmaiob}4
7:‑
Z/Pidi
Z/Gtrc
Z/@cgomi
Mioi}
Zbpaili4 Mihzb|amaýo Lèg D 7:4=: Hb}imamci4 2 Mihzb|amaio Fipg Hampimamci4 75 N~/ ]b}aýo 52 HG\BPAGC BO\PBOGHABO\I @gciob} ^gccg} Zb}g 2k Zbci|g =k Zgci} Zamg} Ao}|gcgmaýo =
:
2
0
MGCBO\GHABO\I
Mghzi Mghzi o´ = 72‑
Pilgp 2‑ B}|apgp =‑ Hi`acalgl Hi`acalgl gp|amrcgp gp|amrcgp =‑ Mgcbo| Mgcbo|gp gp mio drbei} drbei} lb zbp}bmrm zbp}bmrmaýo aýo <‑
6:‑
ZGP\B ZPAOMAZGC PB]A]\BOMAG G! 7: Zb}g 2 Ke}+ zpb}aýo +]gcalg +]gcalg 0: h|}/ @! 7: G`lihaogcb} + ~gccg zbwrb÷ zbwrb÷gg + }gcalg }gcalg 72 h|} h|} M! =h gm gmmaio nrbptg zip zgpbdg}+tae(tge+}gcalg 7: h|}/ L! 7: zg}b} @gcio = Ke} zip zgpbdg}+~gccg+}gcalg zgpbdg}+~gccg+}gcalg 2 h|}
M
L
2h
2h
G
@
N
7:h
72h
0:h
\\4 7 v }bpab} lb 6‑ 6‑
GR\IHG\A]HI]4 >(=(<(7:(5(MBO\PI 7:(<(=(>(=(1(6(5(LB]LI@CGHABO\I LB 0 MBO\PI 7:(<(=(>(=(2(77( LB]LI@CGHABO\I LB 2 MBO\PI G\GWRB PA\HI GC\I ZPB]AIO G CG ZBPLALG LB @GCÝO MIO\PG BWRAZI <(0(=(7 ]GCALG LB LBNBO]G HRQ PGZALG
7
1 77 0
5 6
7:
0
1 12
7
ZGP\B NAOGC
Cb}aiogli}4 Gr}bomag}4 I`}bp~gmaiob}4
6
1
0
0
Z/Pidi
Z/Gtrc
Z/@cgomi
Mioi}
Zbpaili4 Mihzb|amaýo Lèg ^ 7:4=: Hb}imamci4 2 Mihzb|amaio Fipg Hampimamci4 75 N~/ ]b}aýo 5> HG\BPAGC BO\PBOGHABO\I @gciob} ^gccg} Zb}g 2k Zbci|g =k Zgci} Zamg} Ao}|gcgmaýo =
:
2
0
MGCBO\GHABO\I Pilgp 2‑ Mgcbo|ghabo|i ebo =‑ Pioli} 7:‑ Mgcbo|gp zgpg ^/ > }gcalg}
Mghzi Mghzi o´ = 02‑
0
7
7 7
=
0
0 <
<
ZGP\B ZPAOMAZGC
>:‑
^bcimalgl(n zip zgpbdg}/ 7
0! 0 ~gccg} zbwrb÷g}+ }kaz+zgpbl+ ]gcalg 0:h+ mbo|pi/ 7!tae(tge mio `gcýo+0 ~gccg} zbwrb÷g}+zgpbl+ }gcalg 0:h+pbhg|b < mbo|pi} zip cg lbpbmfg q = mbo|pi} zip cg atwrabplg/
0
7
ZGP\ALI ZGP\ALI ¸ MGHZI \\472‑
6 >
< 7
6 5
=
7
2
ZGP\B NAOGC B]\PG\BEAG + B]\APGP
Cb}aiogli}4 Gr}bomag}4 I`}bp~gmaiob}4
<
0 5
2
1 >
1
72‑
Z/Pidi
Z/Gtrc
Z/@cgomi
Mioi}
Zbpaili4 Mihzb|amaýo Lèg C 7:4=: Hb}imamci4 2 Mihzb|amaio Fipg Hampimamci4 76 ^n ]b}aýo 55 HG\BPAGC BO\PBOGHABO\I @gciob} ^gccg} Zb}g 2k Zbci|g =k Zgci} Zamg} Ao}|gcgmaýo =
:
>
>
Mghzi Mghzi o´ =
MGCBO\GHABO\I
70‑
2‑ Pilgp Pilgp }rg~b }rg~b =‑ B}|apg B}|apgpp <‑ Mgcbo|ghabo Mgcbo|ghabo|i |i fgmag cg N/ eprzi G <‑ Mgcbo|ghabo Mgcbo|ghabo|i |i lb hi`acalgl hi`acalgl gp|amrcgp gp|amrcgp ca`pb ca`pb eprzi @ ZGP\B ZPAOMAZGC @! Pbmrzbpgmaýo/ \ili} ci} dreglipb} wrb fgo dregli +<2‑/
G! Bo|pboghabo|i/ G/7! ^(n 2h
7:h
72h
7
Mgppbpg mio|aorg }rg~b |pb} cgli} + lageiogc gc 2:"# mgppbpg wrb`pglg wrb`pglg = cgli} + lageiogc gc 5:"/ 0 }bpab} lb 7:‑ 2:"
0 7!]kazaoe+0~gccg} 7!]kazaoe+0~gccg} zbwrb÷g}+}gcalg = la}|gomag} 2h#7:h#72 h/ 0!Taetge+0~gccg} zbwrb÷g}+}gcalg = la}|gomag} 2h#7:h#72 h/ Mglg pbzb|amaýo ~gpaghi} cg la}|gomag naogc/ ^ghi} ~gpagoli cg} zi}amaiob} lb cg} zamg}# ci} zgci}# q cg} ~gccg} \\4 0 }bpab}4 }bpab}4 7¤ }bpab 6‑ ) 0¤ }bpab >‑ pbmrzbpgmaýo }rg~b \Z4 <‑
>:‑
5:"
G`lihaogcb} =v72pv
]rg~b
G/0!BDBPMAMAI LB ZG]B+\API =
=
=
0
0
0
7
7
7
G!= ~rbc|g} miol+|api @!= ~rbc|g} zgpbl+|api M!= ~rbc|g} zg}b }berolg }berolg caobg caobg + zgpbl zgpbl +|api/
G/=!GMG@GP MIO DRBEI LB ZI]AMAÝO ZI]AMAÝO =v=+0 b|m/// lbzbolb lbzbolb lbc o´ lb dreglipb}/ dreglipb}/ I MIO 2 ZGP\ALI] ZGP\ALI] LB =‑ MIO MGHZI ZBWRB×I/ ZBWRB×I/ BWRAZI] LB = DREGLIPB]/ ]ICI CI] DREGLIPB] WRB FGO DREGLI HRQ ZIMI I OI FGO DREGLI/ \\4 }bpab} lb >‑ }a }io drbei} lb zi}amaýo \\4 }bpab} lb =‑ }a }io zgp|ali} zgp|ali} mip|i}/
ZGP\B NAOGC B}|apgp Cb}aiogli}4 Gr}bomag}4 I`}bp~gmaiob}4
7:‑
Z/Pidi
Z/Gtrc
Z/@cgomi
Zbpaili4 Mihzb|amaýo Lèg D 7:4=: Hb}imamci4 2 Mihzb|amaio Fipg Hampimamci4 76 ^n ]b}aýo 51 HG\BPAGC BO\PBOGHABO\I @gciob} ^gccg} Zb}g 2k Zbci|g =k Zgci} Zamg} Ao}|gcgmaýo
Mioi}
:
0
5
:
Mghzi Mghzi o´ =
MGCBO\GHABO\I
70‑
ZGP\B ZPAOMAZGC
>:‑
2‑ Pilgp }rg~b/ }rg~b/ =‑ B}|apg B}|apgpp >‑ Mgcbo|ghabo|i mio `gcýo/ Fg`acalglb} Fg`acalglb}
BDBPMAMAI ZG]B4 ^gpag} mih`aogmaiob}/ 7/0/7/=zgpbl mio 0 q |api lb = 7(0 ipabo|gl ipabo|gli(=( i(=( 7( 0 zg}b bo|pglg bo|pglg lb = q |api GMG@G MIO MIOLRMMAÝO +\API
< < <
= = =
0 0 0 0 0
7 7 7 7 7
BO\PBOGHABO\I \ÁMOAMI)\ÇM\AMI
0v6‑
Zi}b}aýo cgpeg =v0 Imrzgp zi}amaiob} lb pbhg|b \\4 =2‑
MIO]BP^GMAÝO LB @GCIO 6V> ZPB]AÝO G CG ZBPLALG LB @GCÝO PI@I LB @GCÝO Q ]GCALG PÇZALG
7 0
0 0
0
6v>
0
0
77
< 1
0 7:
=
1
0 2
0 >
ZGP\B NAOGC
Cb}aiogli}4 Gr}bomag}4 I`}bp~gmaiob}4
=
6
0
B]\APGP+G@LIHAOGCB]
5
7:‑
Z/Pidi
Z/Gtrc
Z/@cgomi
Zbpaili4 Mihzb|amaýo Lèg ^ 7:4=: Hb}imamci4 2 Mihzb|amaýo Fipg Hampimamci4 76 ^n ]b}aýo 6: HG\BPAGC BO\PBOGHABO\I @gciob} ^gccg} Zb}g 2k Zbci|g =k Zgci} Zamg} Ao}|gcgmaýo
Mioi}
:
5
:
MGCBO\GHABO\I
0
Mghzi Mghzi o´ = 70‑
2‑ Hi`aca Hi`acalgl lgl gp|amr gp|amrcgp cgp =‑ b}|apg b}|apgpp
ZGP\B ZPAOMAZGC Zi}amaýo 2v2v2 0 }bpab} lb 7:‑ \\40:‑
0
2
0 0
= =
= 2
7
7
0
= <
0
0
BO\PBOGHABO\I \ÁMOAMI \ÇM\AMI/ G|gwrb mio|pg lbnbo}g lb <(7(< mihi Mipobccg Ca`bpgp gc 77 mpbgoli b}zgmai gc 1 7
=
0 77
1 7:
1
=
<
5
1
1 6
>
ZGP\B NAOGC
Cb}aiogli}4 Gr}bomag}4 I`}bp~gmaiob}4
>:‑
Z/Pidi
Z/Gtrc
Z/@cgomi
Mioi}
Zbpaili4 Mihzb|amaýo Lèg ] 7:4=: Hb}imamci4 2 Mihzb|amaýo Fipg Hampimamci4 75 ^n ]b}aýo 67 HG\BPAGC BO\PBOGHABO\I @gciob} ^gccg} Zb}g 2k Zbci|g =k Zgci} Zamg} Ao}|gcgmaýo :
0
5
:
Mghzi Mghzi o´ = 02‑
MGCBO\GHABO\I Pilgp 2‑ Mgcbo|ghabo|i ebo =‑ Pioli} 7:‑ 2‑ Drbei} lb zbp}bm zbp}bmrmaýo rmaýo 0‑ \imgp \imgp `gcýo `gcýo
0
7 7
=
0
<
<
ZGP\B ZPAOMAZGC
>:‑
^BCIMALGL 7
Zip |pai}/ 7! 0! =!
Taet Taetge ge mio mio `gc `gcýo ýo + zg} zg}bb g 0+}g 0+}gcacalg lg+| +|ap apii i mbo| mbo|pi pi ]kazaoe+zg}b bo bo zpi zpinnrola olalgl Nao Nao|g+~ |g+~ggccg ccg zbw zbwrb rb÷÷g+dr g+dreg egpp lb lb mg mgpg
\api i mbo|pi
Pbmfgtb Pbmfg tb i pbhg|b/ pbhg|b/ ^bcimalgl lb bdbmrmaýo hrq pgzali/ \pg`gdi zip |pai}/
0
\\4 0 }bpab} lb 2 ~rbc|g} ~rbc|g} zip mglg cgli/ cgli/ \Z]4 2‑ 7
=
ZGP\ALI ZGP\ALI ¸ MGHZI \\472‑
6 >
< 7
6 5
=
7
2
ZGP\B NAOGC B]\PG\BEAG + B]\APGP
Cb}aiogli}4 Gr}bomag}4 I`}bp~gmaiob}4
<
0 5
2
1 >
1
72‑
Z/Pidi
Z/Gtrc
Z/@cgomi
Mioi}
Zbpaili4 Mihzb|amaýo Lèg C 7:4=: Hb}imamci4 2 Mihzb|amaýo Fipg Hampimamci4 71 ^ ]b}aýo 60 HG\BPAGC BO\PBOGHABO\I @gciob} ^gccg} Zb}g 2k Zbci|g =k Zgci} Zamg} Ao}|gcgmaýo :
5
:
MGCBO\GHABO\I
0
Mghzi Mghzi o´ = 02‑
0
\ILI BC BWRAZI PILGP ]RG^B 2‑ B]\APGP 2‑ PIOLI] 72‑
7 7
=
0
<
<
ZGP\B ZPAOMAZGC G/7!a @/7! DRBEI LB ZI]AMAÝO
0 0 7 2 2
7
0
>:‑
\\4
=
=
<
\ILI BC BWRAZI BVMBZ\I G CI] DREGLIPB] WRB \BOEGO HICB]\AG] WRB CB] AHZALG BO\PBOGP OIPHGCHBO\B/
@/0! GMG@GP MIO > CGPEI] LB 2:(>:h|}/ MIO GHZCA\RL LB TGOMGLG Q ^IC^BP HRQ ]RG^B/ ]ICI CI] DREGLIPB] WRB OI DRBERBO CI] ZGP\ALI] MIP\I]/
ZGP\B NAOGC B]\APGP
Cb}aiogli}4 Gr}bomag}4 I`}bp~gmaiob}4
7:‑
Z/Pidi
Z/Gtrc
Z/@cgomi
Mioi}
Zbpaili4 Mihzb|amaýo Lèg V 7:4=: Hb}imamci4 2 Mihzb|amaýo Fipg Hampimamci4 71 ^ ]b}aýo 6= HG\BPAGC BO\PBOGHABO\I @gciob} ^gccg} Zb}g 2k Zbci|g =k Zgci} Zamg} Ao}|gcgmaýo :
:
:
:
Mghzi Mghzi o´ = 01‑
MGCBO\GHABO\I PILGP 2‑ BDBPMAMAI LB MIO\PIC ZG]B 76‑ B]\APGP =‑ \BPHAOGP LB MGCBO\GP MIO @GCÝO FGMAG CG MIHZB\AMAÝO =‑
=
Bdbpmamai lb zg}b Aoamagp ci} bdbpmamai} mio ro }ici `gcýo# rog ~bt b}|g`cbmalg cg laoçhamg ao|pilrmap ao|pilrmap bc 0´ `gcýo/ 77 7
7
7
0
7
7
77
7
7
0 `gciob} g cg ~bt 0 `gciob} g cg ~bt = ~rbc|g} lbpbmfg q atwrabplg = ~rbc|g} lbpbmfg q atwrabplg
ZGP\B ZPAOMAZGC
ZGP\ALI] MIP\I]4 = Bwrazi} Zgp|ali} mip|i} >v>v> \\4 Zgp|ali} Zgp|ali} lb <‑ mghzi zbwrb÷i/ zbwrb÷i/ 7¤ ~rbc|g ~rbc|g lb lb >‑ mghzi mghzi oiphgc oiphgc 0¤ ~rbc|g ~rbc|g lb lb 2‑ mghzi mghzi oiphgc oiphgc =¤ ~rbc|g ~rbc|g lb lb <‑ mghzi mghzi zbwrb÷ zbwrb÷ii Gc naogc naogc 02‑ lb mgh`ai gc eic eic mio bc mghzi mghzi + zbwrb÷i/
7
77
7
7
7`gcio g cg ~bt = ~rbc|g} lbpbmfg q atwrabplg
>:‑
7
7
7 0
0 7 0
0
7 7
0
7
]ICGHBO\B FGMBHI] ZGP\ALI] MIP\I]/
ZGP\B NAOGC B]\APGP
Cb}aiogli}4 Gcbv/ Gr}bomag}4 I`}bp~gmaiob}4
7:‑
Z/Pidi
Z/Gtrc
Z/@cgomi
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Z/Pidi
Z/Gtrc
Z/@cgomi
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Z/Pidi
Z/Gtrc
Z/@cgomi
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MGCBO\GHABO\I
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Z/Pidi
Z/Gtrc
Z/@cgomi
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7
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MGCBO\GHABO\I 2‑ Pilgp }rg~b =‑ B}|apg B}|apg <‑ Mgcbo|ghabo|i fgmag fgmag cg nrbptg
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Z/Gtrc
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Z/Pidi
Z/Gtrc
Z/@cgomi
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2
2
MGCBO\GHABO\I Pilgp 2‑ Mgcbo|ghabo|i ebo =‑ Pioli} 7:‑ > }gcalg} lb ~bcimalgl lb pbgmmaýo p bgmmaýo ~a}rgc 0‑ \imgp \imgp `gcýo `gcýo
02‑
0
7 7
=
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ZGP\B ZPAOMAZGC ^BCIMALGL 7
Zip |pai}/ 7! 0! =!
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= 7
ZGP\ALI ZGP\ALI ¸ MGHZI \\472‑
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6 5
=
7
2
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2
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