Medición de la eficiencia en el uso de las regalías petroleras: una aplicación del análisis envolvente de datos
| Autor | Rosa María Armenta Vergara - Carlos Alberto Barreto Nieto - William Orlando Prieto Bustos |
| Cargo | Economista. Universidad Católica de Colombia - Magíster en Ciencias Económicas Universidad Nacional de Colombia - Magíster en Ciencias Económicas Universidad Nacional de Colombia |
| Páginas | 13-32 |
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Mortalidad
infantil
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y Alcantarillado
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Salud
14%
Educación
11%
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0%
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Salud
23%
Educación
12%
ΥΠ
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4∗73∋0.∋0,∋Χ02467∋Χ3,∗/:∋0.∋26ΡΣ3732−Ξ.∋26.∋6473Χ∋
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76Χ∋Χ0∋0.2∗0.473:∋0.∋50.073,:∋Σ67∋/0+3ς6∋/0∋Ρ∗.−2−=
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Ρ∗.−2−Σ−6Χ∋ Σ0476,076Χ∋ Υ∋ 237+6.8]076Χ∋ Σ70Χ0.43.∋
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,6Χ∋.6∋ Σ0476,076Χϑ∋ χ−.3,Ρ0.40:∋Χ0⊥3,3.∋ [∗0∋0.∋ 0,∋
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Ψ−/76237+∗76Χ∋Υ∋237+Ξ.:∋26Ρ6:∋,3Χ∋7053,83Χ∋4643,0Χ∋
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3∋∗.∋Ρ3Υ67∋/0Χ3776,,6ϑ
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0,∋.−Β0,∋/0∋Σ76/∗246∋26.∋,6Χ∋−.Χ∗Ρ6Χ∋/−ΧΣ6.−+,0Χ∋6:∋
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0.07583:∋473.ΧΣ6740:∋26Ρ∗.−232−6.0Χ:∋0.470∋6476Χϑ∋
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966Σ07∋Υ∋ΑΨ6/0Χ∋ΜΝΟηιΘ∋26.62−/6∋26Ρ6∋0,∋Ρ6/0,6∋
99Αϑ∋∃.∋0Χ40:∋,6Χ∋3∗4670Χ∋Σ76Σ6.83.∋∗.∋Ρ6/0,6∋26.∋
70./−Ρ−0.46Χ∋26.Χ43.40Χ∋3∋0Χ23,3:∋,6∋2∗3,∋−ΡΣ,−23783∋
Σ373∋0,∋ Σ70Χ0.40∋0Χ4∗/−6∋ [∗0∋,6Χ∋ Ρ∗.−2−Σ−6Χ∋/0∋ ,3∋
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Ρ8.−Ρ3Χ∋0.∋0/∗232−Ξ.:∋Χ3,∗/:∋ 32∗0/∗246∋Υ∋3,23.437−=
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i_reg %
0_educ
100
80
60
40
Villavicencio Aguazul Orocué
Piedras Yaguará
Puerto López
San Vicente Yondó Cantagallo
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Arauca-Arauca
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Riohacha
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/0∋Φ−/76237+∗76Χϑ
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4∗73∋Ρ8.−Ρ3∋0.∋0/∗232−Ξ.∋Υ∋,3∋26+074∗73∋
Ρ8.−Ρ3∋0.∋Χ3,∗/ϑ
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467∋Χ3,∗/∋Ρ∗0Χ473∋∗.∋Ρ3Υ67∋.ΚΡ076∋/0∋Ρ∗.−2−Σ−6Χ∋
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0.∋0Χ40∋ Χ02467∋0Χ∋ −ΡΣ6743.40∋/0Χ43237∋ 0,∋23Χ6∋ /0∋
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7053,83Χ∋Σ07∋2ΤΣ−43∋Υ:∋Χ−.∋0Ρ+3756:∋6+4∗Β6∋∗.6∋/0∋
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26ΡΣ3732−Ξ.∋26.∋,6Χ∋6476Χ∋Ρ∗.−2−Σ−6Χ:∋.6∋3,23.Ζ3∋
,3∋26+074∗73∋Ρ8.−Ρ3∋ 01−5−/3ϑ∋∀6∋6+Χ43.40:∋ ∆7−+83∋
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Φ−/76237+∗76Χϑ
ItƒÞec"60"
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∋
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∀32−6.3,∋/0∋Φ−/76237+∗76Χϑ∋
0 5 10 15 20
i_reg %
0_educ
100
90
80
70
60
Orocué
Arauquita
Pto Asís
Cantagallo
Arauca-Arauca
Pto. López
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San Vicente
Aipe
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Cúcuta
Acacías
0 5 10 15 18
i_reg %
0_educ
100
80
60
40
20
0
Cantagallo
Pto. López
Cúcuta
Uribia
Castilla La Nueva
Agua Azul
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Neiva
Villavicencio
Yopal
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470Χ∋Χ024670Χ∋0Β3,∗3/6Χ:∋01Ψ−+−0./6∋,6Χ∋.−Β0,0Χ∋
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Ρ0.40:∋.−.5Κ.∋Ρ∗.−2−Σ−6∋3,23.Ζ3∋,3∋26+074∗73∋
Ρ8.−Ρ3∋01−5−/3ϑ
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732−Ξ.∋26.∋,6Χ∋6476Χ∋Ρ∗.−2−Σ−6Χ∋/0∋,3∋Ρ∗0Χ473ϑ∋&Χ−=
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χ∗0.40(∋∃,3+6732−Ξ.∋/0∋,6Χ∋3∗4670Χ∋3∋Σ374−7∋/0∋/346Χ∋/0,∋?−.−Χ407−6∋#0∋∃/∗232−Ξ.∋∀32−6.3,∋Υ∋,3∋&50.2−3∋∀32−6.3,∋
/0∋Φ−/76237+∗76Χϑ
ItƒÞec"80"
Htqpvgtc"fg"oglqtgu"rtƒevkecu0"Oqfgnq"40"422:
χ∗0.40(∋∃,3+6732−Ξ.∋/0∋,6Χ∋3∗4670Χ∋3∋Σ374−7∋/0∋/346Χ∋/0,∋?−.−Χ407−6∋/0∋)764022−Ξ.∋Η62−3,:∋Υ∋,3∋&50.2−3∋∀32−6.3,∋/0∋
Φ−/76237+∗76Χϑ
0 2.5 5 7.5 10
i_reg %
0_educ
100
80
60
40
Pto. López
Cúcuta
Uribia
Castilla La Nueva
Agua Azul
Aipe
Pto. Asís
Arauca-Arauca
Cantagallo
Dibulla
Puerto Gaitán
Piedras
Pto. Nare
Guamuez Arauquita
San Miguel
Manaure
Orito
Orocué
12.5 15
0
i_reg %
0_educ
100
90
80
70
60
50
Pto. Triunfo
Cúcuta
Uribia
Purificación
Palermo
Acacías
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Guamuez
Piedras
Villavicencio
Ortega
Aipe
1 2 3 4 5 6
Pto. Asís
Rionegro
Orito
Cantagallo
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Castilla La Nueva
∆7−+83
∆7−+83
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Vcdnc"50"
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χ∗0.40(∋∃,3+6732−Ξ.∋/0∋,6Χ∋3∗4670Χϑ
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χ∗0.40(∋∃,3+6732−Ξ.∋/0∋,6Χ∋3∗4670Χ∋3∋Σ374−7∋/0∋/346Χ∋/0∋,3∋Η∗Σ07−.40./0.2−3∋/0∋Η07Β−2−6Χ∋)Κ+,−26Χ∋Υ∋,3∋&50.2−3∋
∀32−6.3,∋/0∋Φ−/76237+∗76Χϑ
)373∋0,∋ 3⊥6∋δΠΠι:∋ 0,∋Χ02467∋ 0/∗232−Ξ.∋Σ70=
Χ0.43∋∗.∋26ΡΣ6743Ρ−0.46∋Χ−Ρ−,37∋3,∋3⊥6∋δΠΠη:∋0.∋
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0Χ40∋Σ07−6/6∋Χ6.∋∆7−+83∋Υ∋?3.3∗70∋26.∋Σ∗.43ς0Χ∋/0∋
gÞekgpekc"fg"2.63"{"2.69."tgurgevkxcogpvg0"
)67∋6473∋Σ3740:∋0,∋Χ02467∋Χ3,∗/∋Σ70Χ0.43∋Χ6,6∋
wp"owpkekrkq"gÞekgpvg"*E¿ewvc+"rctc"gn"c‚q"422:0"
&∋Χ∗∋Β0Ζ:∋∆7−+83∋Μ∃7−∀/∋Π:ειΘ∋Χ0∋Ρ3.4−0.0∋ 26Ρ6∋0,∋
owpkekrkq"ogpqu"gÞekgpvg0"
Gp"nc"itƒÞec"9"ug"qdugtxc"swg"nqu"owpkekrkqu"
swg"rtgugpvcp"gÞekgpekc"vfiepkec"rwtc"uqp"E¿ewvc."
∀0−Β3∋Υ∋&73∗[∗−43ϑ∋
Gp" vfitokpqu" igpgtcngu." 6.57'" fg" nqu" ow=
pkekrkqu"uqp" gÞekgpvgu"gp"gn" ugevqt"gfwecek„p0"Gp"
2∗3.46∋3,∋ Χ02467∋ Χ3,∗/:∋Χ0∋ Σ70Χ0.4Ξ∋∗.∋ /0Χ20.Χ6∋
26.Χ−/073+,0∋0.∋ 0,∋Σ6720.43ς0∋ /0∋Ρ∗.−2−Σ−6Χ∋ 26.∋
fgugorg‚q"gÞekgpvg"gp"nqu"fqu"rgtkqfqu"gxcnwcfqu."
rcucpfq"fg"8.7'" gp"4229"c" 4.39'"gp"422:0"Rqt"
6473∋Σ3740:∋0.∋32∗0/∗246∋Υ∋3,23.437−,,3/6∋0,∋Σ6720.=
Ι//,5;0 0=/ Ι%∋ ΙΛΚ '"FOWÔu"gÞekgpvgu '"FOWÔu"kpgÞekgpvgu
?6/0,6∋Ν
δΠΠη
2.669; Ν6.57 Οε:µε
?6/0,6∋δ Π:εµΠη Ν µ:ε Ολ:ε
?6/0,6∋λ 2.2688 Ν6.57 Οε:µε
Oqfgnq"6 2.669; Ν ι:ηΠ ΟΝ:λΠ
?6/0,6∋Ν
δΠΠι
2.63:4 Ν6.57 Οε:µε
?6/0,6∋δ Π:ειεµ Ν δ:Νη Οη:ιλ
?6/0,6∋λ 2.2637 Ν µ:ε Ολ:ε
Oqfgnq"6 Π:ειεµ Ν µ:ε Ολ:ε
0 5 10 15
i_reg %
0_educ
100
80
60
40
20
0
Cantagallo
Pto. López
Cúcuta
Uribia
Orocué
Tauramena
Neiva
Villavicencio
Yopal Pto.Boyacá
Purificación
Riohacha
Puerto Gaitán
Piedras
Pazde Ariporo
Rionegro
Ortega
Pto. Asís
Orito Trinidad
San Luis de Palenque
Manaure
Aipe
Yaguará
Arauquita
2.5 7.5 12.5
∆7−+83
Ω]
!∀#∃#%∃&∋(∋)∗+,−∀.∃∋/.∗#01∀.∃2∋ΗΙΙ>ϑ!∆∆=ΓΑΚΕ=Κ8!;./.
Tquc"Octc"Ctogpvc"Xgtictc"̋"Ectnqu"Cndgtvq"Dcttgvq"Pkgvq"̋"Yknnkco"Qtncpfq"Rtkgvq"Dwuvqu
.−Β0,0Χ∋/0∋26+074∗73ΧΩ∋Χ−.∋0Ρ+3756:∋.6∋ 3,23.Ζ3∋0,∋
2−0.∋Σ67∋2−0.46∋/0∋26+074∗73Χ∋0.∋,6Χ∋2∗3476∋Χ024670Χ∋
Μ0/∗232−Ξ.:∋Χ3,∗/:∋Ρ6743,−/3/∋−.]3.4−,∋Υ∋32∗0/∗246∋
Υ∋3,23.437−,,3/6Θϑ∋)67∋6473∋Σ3740:∋ 0,∋Ρ∗.−2−Σ−6∋[∗0∋
Σ70Χ0.43∋0,∋ Σ067∋/0Χ0ΡΣ0⊥6∋0.∋ ,3∋50Χ4−Ξ.∋/0∋ ,3Χ∋
7053,83Χ∋0Χ∋∆7−+83∋Μϕ∗3ς−73Θ∋[∗0∋Σ70Χ0.43∋,6Χ∋.−Β0,0Χ∋
ΡΤΧ∋+3ς6Χ∋/0∋26+074∗73Χ∋Ρ8.−Ρ3Χϑ
>6Χ∋ Ρ∗.−2−Σ−6Χ∋ ∗+−23/6Χ∋ 0.∋ /0Σ3743Ρ0.=
46Χ∋/0∋ 473/−2−Ξ.∋Σ0476,073∋ 26Ρ6∋?043:∋93Χ3.370:∋
&73∗23∋Υ∋ )∗4∗Ρ3Υ6:∋[∗0∋702−+0.∋Ρ3Υ67∋ 23.4−/3/∋
/0∋7053,83Χ∋Σ07∋2ΤΣ−43:∋Σ70Χ0.43.∋∗.∋53Χ46∋0120Χ−Β6∋
/0∋702∗7Χ6Χ∋Σ373∋3,23.Ζ37∋,3Χ∋Ρ043Χ∋/0∋26+074∗73:∋
3/0ΡΤΧ∋.−.5∗.6∋/0∋Χ∗Χ∋ Ρ∗.−2−Σ−6Χ∋Ψ3∋3,23.Ζ3/6∋
,3Χ∋2∗3476∋26+074∗73Χ∋01−5−/3Χ∋Σ67∋,3∋,0Υ∋/0∋7053,83Χϑ∋
)67∋6473∋ Σ3740:∋,6Χ∋ Ρ∗.−2−Σ−6Χ∋ /0,∋/0Σ3743Ρ0.46∋
fg"nc" Iwclktc"rtgugpvcp" gn"fgugorg‚q"oƒu" kpgÞ=
2−0.40∋0.∋,3∋ 50Χ4−Ξ.∋/0∋,3∋7053,83Χϑ∋ >6Χ∋70Χ∗,43/6Χ∋
6+40.−/6Χ∋Χ∗Ρ−.−Χ473.∋−.]67Ρ32−Ξ.∋[∗0∋Χ−7Β0∋26Ρ6∋
70]070.40∋Σ373∋,6Χ∋/−Χ4−.46Χ∋.−Β0,0Χ∋/0∋Σ76/∗24−Β−/3/∋
/07−Β3/6Χ∋/0∋,3∋−.Β07Χ−Ξ.∋/0∋,6Χ∋702∗7Χ6Χ∋Σ76Β0.−0.=
40Χ∋/0∋,3Χ∋7053,83Χϑ
∃Χ46Χ∋70Χ∗,43/6Χ∋.6∋Χ0∋3,0ς3.∋/0∋,6Χ∋Σ70Χ0.=
43/6Χ∋ 0.∋ 3 ,5∗.6Χ∋ 0Χ4 ∗/−6Χ∋ 3.407 −670Χ:∋ 26Ρ 6∋ 0,∋
703,−Ζ3/6∋Σ67∋)077Υ∋Υ∋;,−Β073∋ΜδΠΝΠΘ:∋0.∋2∗3.46∋3∋,6Χ∋
.−Β0,0Χ∋/0∋26+074∗73∋/0∋,6Χ∋Ρ∗.−2−Σ−6Χ∋Σ76/∗24670Χ∋
/0∋ Ψ−/76237+∗76ΧΩ∋ Χ−.∋ 0Ρ+3756:∋ Σ373∋ 0,∋ Σ07−6/6∋
3.3,−Ζ3/6∋0.∋0Χ40∋0Χ4∗/−6:∋ 0,∋Χ02467∋Χ3,∗/∋Σ70Χ0.=
vc"oc{qt"xctkcdknkfcf" gp"nqu"pkxgngu" fg"gÞekgpekc0"
&Χ−Ρ−ΧΡ6:∋0,∋Χ02467∋0/∗232−Ξ.∋Ρ∗0Χ473∋.−Β0,0Χ∋/0∋
gÞekgpekc" eqpuvcpvgu" rctc" nqu" fqu" rgtkqfqu0" Pq"
6+Χ43.40:∋0Χ46Χ∋ Χ6.∋Ρ∗Υ∋+3ς6Χ∋ Σ373∋0,∋ Ρ6.46∋/0∋
702∗7Χ6Χ∋−.Β074−/6Χϑ
∃,∋ Χ02467∋ 0/∗232−Ξ.∋ Σ70Χ0.43∋ .−Β0,0Χ∋ /0∋
gÞekgpekc"eqpvcpvgu." gu" fgekt." rtgugpvc"gn" okuoq"
p¿ogtq"fg" owpkekrkqu"gÞekgpvgu" gp"nqu" rgtkqfqu"
3.3,−Ζ3/6Χϑ∋∃.∋2∗3.46∋3,∋Χ02467∋Χ3,∗/:∋0Χ40∋Σ70Χ0.43∋
573.∋Β37−3+−,−/3/∋70ΧΣ0246∋3,∋.ΚΡ076∋/0∋Ρ∗.−2−Σ−6Χ∋
gÞekgpvgu."fgdkfq"c"swg"gp"4229"ug"rtgugpvctqp"5"
owpkekrkqu"gÞekgpvgu" *Tkqjcejc."E¿ewvc" {"Rwgtvq"
&Χ8ΧΘΩ∋Χ−.∋0Ρ+3756:∋Σ373∋δΠΠι∋0,∋.ΚΡ076∋/0∋Ρ∗.−2−=
rkqu"gÞekgpvgu"ug"tgfwlq"c"wpq"*E¿ewvc+0"Gp"ewcpvq"
3,∋Χ02467∋ 32∗0/∗246∋ Υ∋3,23.437−,,3/6:∋ Χ0∋Σ70Χ0.4Ξ∋
∗.∋−.270Ρ0.46∋0.∋.ΚΡ076∋/0∋Ρ∗.−2−Σ−6Χ∋26.∋/0Χ=
gorg‚q"gÞekgpvgu."rcucpfq"fg"4"*Pgkxc"{"E¿ewvc+"
0.∋δΠΠη∋3∋λ∋Μ&73∗[∗−43:∋∀0−Β3∋Υ∋9Κ2∗43Θ∋0.∋δΠΠιϑ∋
vclg"fg" owpkekrkqu"gÞekgpvgu" rcuq"fg" 6.57'" gp"
4229"c"8.7'"gp"422:0"Cfkekqpcnogpvg."gn"oqfgnq"
[∗0∋26Ρ+−.3∋ 26+074∗73∋Ρ8.−Ρ3∋ 0.∋ 0/∗232−Ξ.∋Υ∋
Χ3,∗/:∋Σ70Χ0.43∋∗.∋Ρ3Υ67∋Σ6720.43ς0∋/0∋∗.−/3/0Χ∋
gÞekgpvgu.":.92'"{"8.7'."tgurgevkxcogpvg0"
∆.3∋237324078Χ4−23∋−.4070Χ3.40∋/0∋,6Χ∋70Χ∗,43=
/6Χ∋6+40.−/6Χ∋0Χ∋[∗0∋2∗3476∋/0∋,6Χ∋Χ0−Χ∋Ρ∗.−2−Σ−6Χ∋
swg"tguwnvctqp" gÞekgpvgu." gp"cniwpqu" fg"nqu" vtgu"
Χ024670Χ∋3.3,−Ζ3/6Χ:∋Χ6.∋2−∗/3/0Χ∋23Σ−43,0Χϑ∋#−2Ψ6∋
/0∋6473∋ ]67Ρ3:∋,6Χ∋ Ρ∗.−2−Σ−6Χ∋[∗0∋.6∋ Χ6.∋2−∗/3=
fgu" rtgugpvcp" fgugorg‚qu" oƒu" kpgÞekgpvgu" eqp"
70ΧΣ0246∋3∋,3∋ 50Χ4−Ξ.∋/0∋,3∋7053,83Χϑ∋ ∀6∋6+Χ43.40:∋
0Χ46∋Σ∗0/0∋Χ07∋ 347−+∗−/6∋3∋237324078Χ4−23Χ∋ /0∋4−Σ6∋
cfokpkuvtcvkxq."Þpcpekgtq."igqitƒÞeq."gpvtg"qvtcu0
∃.∋,6Χ∋Κ,4−Ρ6Χ∋3⊥6Χ:∋,3∋Ρ046/6,6583∋#∃&∋Ψ3∋,6573/6∋
573.∋320Σ432−Ξ.∋/0.476∋/0∋,3∋,−40734∗73∋323/Ρ−23∋Υ:∋
c"uw"xg¦."gp"nc"crnkecek„p"rctc"nc"ogfkek„p"fg"nc"gÞ=
2−0.2−3∋/0,∋/0Χ0ΡΣ0⊥6∋/0∋,3Χ∋0.4−/3/0Χ∋4077−467−3,0Χ∋
0.∋,3∋Σ70Χ432−Ξ.∋/0∋Χ07Β−2−6Χ∋ΣΚ+,−26Χϑ∋)373∋0,∋23Χ6∋
26,6Ρ+−3.6∋Χ0∋Ψ3.∋703,−Ζ3/6∋ΡΚ,4−Σ,0Χ∋0Χ4∗/−6Χ∋[∗0∋
70,32−6.3.∋0,∋ 53Χ46∋ΣΚ+,−26∋ 26.∋,6Χ∋70./−Ρ−0.46Χ∋
6+40.−/6Χ∋0.∋ ,3∋Σ70Χ432−Ξ.∋ /0∋Χ07Β−2−6Χ∋ ΣΚ+,−26ΧΩ∋
Χ−.∋0Ρ+3756:∋Ψ3Χ43∋0,∋Ρ6Ρ0.46∋.6∋Χ0∋Ψ3∋∗4−,−Ζ3/6∋
rctc"gxcnwct" nc"gÞekgpekc"fg" ncu"vtcuhgtgpekcu" rqt"
7053,83Χ∋ 703,−Ζ3/3Χ∋ 3∋ ,3Χ∋ 0.4−/3/0Χ∋ 4077−467−3,0Χ:∋
26.∋70ΧΣ0246∋3∋.−Β0,0Χ∋Ρ8.−Ρ6Χ∋/0∋Χ07Β−2−6Χ∋[∗0∋Χ0∋
/0+0.∋Σ76Β007∋26.∋0Χ46Χ∋702∗7Χ6Χϑ
)67∋6473∋Σ3740 :∋,6Χ∋Ρ∗.−2−Σ−6 Χ∋[∗0∋702−+0.∋Ρ3=
Υ67∋23.4−/3/∋/0∋7053,83Χ∋Σ70Χ0.43.∋∗.∋53Χ46∋0120Χ−Β6∋
/0∋702∗7Χ6Χ∋ Σ373∋3,23.Ζ37∋,6Χ∋ .−Β0,0Χ∋/0∋26+074∗73∋
gzkikfqu."cukokuoq"pkpi¿p"owpkekrkq"jc"ukfq"egtvkÞ=
23/6∋26.∋,3Χ∋2∗3476∋26+074∗73Χ∋Ρ8.−Ρ3Χϑ∋>6Χ∋.−Β0,0Χ∋
ΡΤΧ∋+3ς6Χ∋/0∋26+074∗73Χ∋Χ0∋Σ70Χ0.43.∋0.∋0,∋Χ02467∋/0∋
−.]730Χ47∗24∗73∋Μ32∗0/∗246∋Υ∋3,23.437−,,3/6Θϑ∋
&/−2−6.3,Ρ0.40:∋ Σ373∋ ,6Χ∋ 2∗3476∋ Ρ6/0,6Χ∋
tgcnk¦cfqu" gpeqpvtcoqu" gÞekgpekc" vfiepkec" rwtc"
rtqogfkq"fgn"46'"rctc"gn"4229"{"fgn"3;.8'" rctc"
gn" 422:0" Cukokuoq." gn" owpkekrkq" oƒu"gÞekgpvg"
0.∋47Ρ−.6Χ∋ /0∋26+074∗73Χ∋Ρ8.−Ρ3Χ∋ 26.∋702∗7Χ6Χ∋
Σ76Β0.−0.40Χ∋/0∋7053,83Χ∋0Χ∋9Κ2∗43:∋ /0+−/6∋3∋[∗0∋
702−+0∋Ρ0.67∋23.4−/3/∋/0∋7053,83Χ∋Υ∋Σ70Χ0.43∋3,46Χ∋
ΩΠ
!∀#∃%∃&∋(#∀()∗(∀+∃%∃∀∋%∃∗(∀∋(∀)(,−.(#∀()∗−(/∀0∗)1∗−(2∀3/.)∀/∗−4(,∋∗(∗2)∃%∗%∃&∋(#∀)(∗∋5)∃−∃−(∀∋6.)6∀∋3∀(#∀(#∗3.−
χ−.3,Ρ0.40:∋ 0Χ∋ .020Χ37−6∋ /0Χ43237∋ [∗0∋ ,3∋
Ρ3Υ6783∋ /0∋ ,6Χ∋ Ρ∗.−2−Σ−6Χ∋ Σ6/783.∋ 3,23.Ζ37:∋0.∋
Σ76Ρ0/−6:∋0,∋Ρ−ΧΡ6∋.−Β0,∋/0∋Σ76/∗22−Ξ.∋/0∋,6Χ∋Ρ∗=
.−2−Σ−6Χ∋/0∋70]070.2−3∋∗4−,−Ζ3./6∋Ρ0.6Χ∋702∗7Χ6Χ:∋0Χ∋
/02−7:∋[∗0∋0Χ∋Σ6Χ−+,0∋Ρ0ς6737∋0,∋.−Β0,∋/0∋26+074∗73Χ∋
.;?;.;Η<80Χ,[8[Φ8Ε6.χ?8<0Χ
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Ρ8.−Ρ3Χ∋Χ−.∋.020Χ−/3/∋/0∋3∗Ρ0.437∋,3∋23.4−/3/∋/0∋
7053,83Χ∋−.Β074−/3Χϑ∋)67∋26.Χ−5∗−0.40:∋Χ0∋7026Ρ−0./3∋
0Χ43+,0207∋0Χ473405−3Χ∋Υ∋Σ,3.0Χ∋/0∋322−Ξ.∋/−7−5−/6Χ∋3∋
Ρ0ς6737∋,3∋50Χ4−Ξ.∋/0∋,3Χ∋7053,83Χ∋[∗0∋Σ072−+0.∋,6Χ∋
owpkekrkqu"eqp"dclqu"pkxgngu"fg"gÞekgpekc0
ΩΘ
!∀#∃#%∃&∋(∋)∗+,−∀.∃∋/.∗#01∀.∃2∋ΗΙΙ>ϑ!∆∆=ΓΑΚΕ=Κ8!;./.
Tquc"Octc"Ctogpvc"Xgtictc"̋"Ectnqu"Cndgtvq"Dcttgvq"Pkgvq"̋"Yknnkco"Qtncpfq"Rtkgvq"Dwuvqu
ΩςςΠ ΩςςΘ
5ΙΓ .1∋δ
s
%ε∃71∗δ /ε∃71∗δ .1∋δ
s
%ε∃71∗δ /ε∃71∗δ
)∗0746∋∀370 56 Πϑηµ λΠλεει = λµ ΠϑηεΝµ δΝΟΟηη =
)∗0746∋<7−∗.]6 λΠ ΠϑιΝηδ 6449:09 = δη 20:7:6 57;6:0; =
Ε6./6 δι Πϑιλµµ ιµδΠηλ = λΝ 2/:5:6 µιΟηΟλ =
&73∗23=&73∗23 λδ 20:2:6 556;87 = λδ 20:396 δΝµΠΝλ =
&73∗[∗−43 λε ΠϑηειΟ 649:37 =65 20886; διιµΠδ =
93.4353,,6 δη 20:656 3;52446 = δδ ΠϑιιΠη µεηιΟΝ =
)∗0746∋≅6Υ32Τ δδ ΠϑΟΠΝ εΠΠΝΟΠ = δι Πϑιελη 653522 =
<7−.−/3/ δΟ ΠϑιδιΟ εδηεΠδ = δµ Πϑιµηη λδΝηµΠ =
)3Ζ∋/0∋&7−Σ676 6Ν445764 = ε Ν 34;;6: =
?3.8 ι Ν 33665;6 = ΝΝ Ν ηµεηεµ =
<3∗73Ρ0.3 ΝΠ Ν ΝιδΟεΠΝ = Νδ Ν ΝΠιΟΝΟη =
&5∗3Ζ∗, Ο Ν 355:693 = δΠ ΠϑΟΝηΝ 9;56:4 =
Η3.∋>∗−Χ∋/0∋
)3,0.[∗0 λΝ 20:369 :496;; = λΠ 20:62; 84856; =
Ε6Σ3, Νλ ΠϑΟΟηΟ 3:9667 = µ Ν 3836;7 =
;762∗ ΝΝ Ν 43;36:4 = Νλ Ν 4696256 =
)−3Ρ6.40 Νη ΠϑΟελδ διλιελ = Νη ΠϑΟεεΝ 43:364 =
ϕ∗3/∗3Χ λη Πϑηλµη 44670; = λΟ 209456 3;:9609 =
Α−6Ψ32Ψ3 λΟ ΠϑηΠηλ δλειϑΟ = 63 ΠϑηΝεΟ ειιµϑιε =
#−+∗,,3 64 208368 ηµλΟϑµ = λε Πϑηµιλ λειηεϑι =
?3.3∗70 67 20678; ΟΝΝΠµϑι = 67 206968 675360: =
∆7−+83 68 20669; λΠιιΠ = 68 2063:4 ΝΠλλΠ =
Ε35∗37Τ δΠ ΠϑΟδΝΝ 3486;23 = δΝ ΠϑΟΠι ΟΠιεΠΝ =
&−Σ0 λµ ΠϑηλΟδ µµεµιη = 62 Πϑηδλλ 962645 =
∀0−Β3 36 ΠϑΟηΟη ΟλΠΝδϑι = Νµ ΠϑΟει 962;807 =
)3,07Ρ6 λλ ΠϑηµµΟ 569:7: =56 ΠϑηιΝµ 485;96 =
93Χ4−,,3∋>3∋∀∗0Β3 Νδ Ν 662:;73 = ΝΠ Ν ηληΟηΝ =
&23283Χ µ Ν 68:427 = ι Ν λµδιδε =
∴−,,3Β−20.2−6 Ν Ν Π = λ Ν ΝδδΝη =
)∗0746∋>ΞΣ0Ζ 46 20:;56 ηηηιΠϑδ = δλ ΠϑιιΠλ εΟεµδ =
)∗0746∋ϕ3−4Τ. 66 Πϑεηδε ιιεδλε = ΝΟ ΠϑΟδλΟ Νλλµληλ =
9Κ2∗43 Ν Ν Π = Ν Ν Π =
Η3+3.3∋/0∋ ΠϑΟΠΠλ µηηιµϑδ = δε ΠϑιηλΝ ;479068 =
)∗0746∋&Χ8Χ ΝΟ ΠϑΟδλιΝ ΠϑΠδηΟηΝδ = Ν Ν Π =
ϕ∗3Ρ∗0Ζ 63 Πϑµµλδιι ΠϑΠειΟηιµ = 64 Πϑµηεδ 776:034 =
)∗0746∋93−20/6 λι Πϑηλµε εΝηΟµϑµ = λη 2096;5 µΠδµµϑδ =
;7−46 62 ΠϑµΟΝΟ 3296:9 = λι Πϑηλδµ ΝΠεΟΝι =
Η3.∋?−5∗0, 65 ΠϑεΟιε 794360: =66 208246 5699027 =
)∗0746∋γ−,2Ψ0Χ ε Ν 4;;;26 = η Ν δΠΟεΟΠ =
≅3773.23+07Ρ0ς3 λ Ν 9;946 =6Ν ιλδιε =
Η3.∋∴−20.40 δε ΠϑιµηΝ δΠΟµλλ = λλ ΠϑιΠιλ 3;6558 =
Η3+3.3∋/0∋<6770Χ η Ν ηΟδηΟι = Ο Ν εµεµλµ =
Α−6.0576 δµ Πϑιεε 3629506 = δΟ 20:634 546940: =
RwtkÞecek„p δΝ ΠϑΟΝΠΟ 58265; =46 Πϑιηεη λδιµΠµ =
;74053 Νε ΠϑΟµδλ ηιιΟδϑδ = 36 ΠϑΟιµΝ 3268;6 =
)−0/73Χ Νι 20;6:4 896683 = Νι ΠϑΟληΝ 76247: =
?0,537 Νµ ΠϑΟεΟη ελδδΠι = Νε 20;:6; 636:44 =
∋&()∗+,−+.(/∀0#12∗/−+34∋+5∗2(0∗+&−6+,
Α3.β(∋Α3.β−.5∋ s
!ρΧ,32β(∋Φ6,5∗73∋/0,∋#+Φ&%∋ 6ρΧ3,2β(∋Φ6,5∗73∋/0,∋−&%Φ&%
ΩΡ
!∀#∃%∃&∋(#∀()∗(∀+∃%∃∀∋%∃∗(∀∋(∀)(,−.(#∀()∗−(/∀0∗)1∗−(2∀3/.)∀/∗−4(,∋∗(∗2)∃%∗%∃&∋(#∀)(∗∋5)∃−∃−(∀∋6.)6∀∋3∀(#∀(#∗3.−
∋&()∗+7−+.(/∀0#12∗/−+34∋+5∗2(0∗+&−6+7
Α3.β(∋Α3.β−.5∋ s
!ρΧ,32β(∋Φ6,5∗73∋/0,∋#+Φ&%∋ 6ρΧ3,2β(∋Φ6,5∗73∋/0,∋−&%Φ&%
ΩςςΠ ΩςςΘ
5ΙΓ .1∋δ
s
%ε∃71∗δ /ε∃71∗δ .1∋δ
s
%ε∃71∗δ /ε∃71∗δ
)∗0746∋∀370 δΟ 20:;46 552976 = ΝΝ Ν 5356:; =
)∗0746∋<7−∗.]6 λΝ Πϑιιιι δΠλΟΟϑη = λε ΠϑΟΝη 796:809 =
Ε6./Ξ Νδ Ν 3223886 = δΠ Ν :65782 =
&73∗23=&73∗23 δε 20;364 5746;2 = δµ ΠϑΟιΝ δηΟµµδ =
&73∗[∗−43 Νι ΠϑΟιεδ εδηΠδΟ = 36 Ν676:87 =
93.4353,,6 Νµ Ν δδεΟιλι = Νι Ν ηµηιδΠ =
)∗0746∋≅6Υ32Τ Ο Ν εδµλµµ = Νε Ν 748246 =
<7−.−/3/ δλ ΠϑΟειΝ 7:4367 = δι ΠϑΟηΝ 5:2496 =
)3Ζ∋/0∋&7−Σ676 ι Ν 3;697: =46 ΠϑΟΟµ ΝεΠδΠΝ =
?3.8 Νλ Ν ΝΝΝεµΝΠ = ΝΟ Ν ηιµεµη =
<3∗73Ρ0.3 ΝΟ ΠϑΟηδη ΝηεΝεεη = δε 20;;6 3326347 =
&5∗3Ζ∗, 56 Πϑιηλµ 3366365 =56 ΠϑΟΝιλ ιΝλµλΝ =
Η3.∋>∗−Χ∋/0∋
)3,0.[∗0 ΝΝ Ν ΟιµΟδµ = Νη Ν ηµεµµµ =
Ε6Σ3, δµ ΠϑΟΝΝΟ 367264 = λΝ ΠϑΟεεΝ 396342 =
;762∗ λδ ΠϑιιµΟ ΝΟΝιΠΟη = λι 20:;:6 446358; =
)−3Ρ6.40 64 Πϑηηλε δΠιΠηµ = λλ ΠϑΟδι δλΝδµε =
ϕ∗3/∗3Χ λε ΠϑιηΝληδ 20672689 = λ Ν 6:4:7 =
Α−6Ψ32Ψ3 Ν Ν Π = δ Ν 4;256 =
#−+∗,,3 ε Ν ιµΝεδ = 6Ν µηεΠµ =
?3.3∗70 η Ν ΝηΠµΝι = ι Ν ΝΝµδΟΝ =
∆7−+83 68 ΠϑεµΠη δδεΝηϑη = 68 Πϑειεµ δµµεΝϑι =
Ε35∗373 36 Ν3566688 = δΝ Ν ΝΠδΝλµλ =
&−Σ0 λΟ Πϑιελδ 9659;4 = δδ Ν 32666:6 =
∀0−Β3 λι 20:876 7947306 = λµ 20;264 ιιηεδϑη =
)3,07Ρ6 δδ ΠϑΟµΝΟ 62:843 = δΟ 20;846 567287 =
93Χ4−,,3∋>3∋∀∗0Β3 65 ΠϑµηλΝ 4;6:4;2 =67 Πϑµεηι 6;;349 =
&23283Χ 67 ΠϑµΝιη δηΝιηΠ = 64 ΠϑιδΝΟ λΝελΝΠ =
∴−,,3Β−20.2−6 66 2086;55; Π = 65 ΠϑµΟδη δδιηιϑε =
)∗0746∋>ΞΣ0Ζ 62 ΠϑιλιΝ 6::630; = ε Ν ::694 =
)∗0746∋ϕ3−4Τ. Νε Ν 3739699 = δλ Ν 368947; =
9Κ2∗43 Ν Ν Π = Ν Ν Π =
Η3+3.3∋/0∋46 ΠϑΟλµ 6575406 = δη 20;9:6 λΠηλεϑε =
)∗0746∋&Χ8Χ Ν Ν Π = λη ΠϑΟΠδΟ ΝιηΟΠϑλ =
ϕ∗3Ρ∗0Ζ λµ ΠϑιηΝΠΝµ ΠϑΠλµελΝε = λδ 20;6;: δηεηΠϑι =
)∗0746∋93−20/6 6Ν63766 = µ Ν 323463 =
;7−46 µ Ν Νδµεµη = 63 20:63 ΝλΟΠΟδ =
Η3.∋?−5∗0, δι 20:;6: 7;9:605 = λΠ ΠϑΟεµΟ 4765905 =
)∗0746∋γ−,2Ψ0Χ δΝ ΠϑΟµµΝ δµΝΟδΟ = Ο Ν 452623 =
≅3773.23+07Ρ0ς3 λΠ ΠϑιιιΟ 674:208 = η Ν 3262;8 =
Η3.∋∴−20.40 λη ΠϑιµηΝ 3:6896 = ΝΠ Ν δµΝδλη =
Η3+3.3∋/0∋<6770Χ ΝΠ Ν 986236 = Νµ Ν 7:8669 =
Α−6.0576 δη ΠϑΟΠιηΝΟ Π = 62 ΠϑιηΝε εΝηηΟϑλ =
RwtkÞecek„p Νη ΠϑΟιιΝ 584768 = Νδ Ν λΟµΠµΝ =
;74053 λλ 20::64 6925:08 =66 Πϑµιδη ιµµιΟϑΟ =
)−0/73Χ 63 Πϑιλι 793;76 = λΟ 20::26 εδειΟΝ =
?0,537 δΠ ΠϑΟµΟι εΠΟιΟε = Νλ Ν 663;;5 =
Ζς
!∀#∃#%∃&∋(∋)∗+,−∀.∃∋/.∗#01∀.∃2∋ΗΙΙ>ϑ!∆∆=ΓΑΚΕ=Κ8!;./.
Tquc"Octc"Ctogpvc"Xgtictc"̋"Ectnqu"Cndgtvq"Dcttgvq"Pkgvq"̋"Yknnkco"Qtncpfq"Rtkgvq"Dwuvqu
∋&()∗+8−+.(/∀0#12∗/−+34∋+5∗2(0∗+&−6+8
Α3.β(∋Α3.β−.5∋ s
!ρΧ,32β(∋Φ6,5∗73∋/0,∋#+Φ&%∋ 6ρΧ3,2β(∋Φ6,5∗73∋/0,∋−&%Φ&%
ΩςςΠ ΩςςΘ
5ΙΓ .1∋δ
s
%ε∃71∗δ /ε∃71∗δ .1∋δ
s
%ε∃71∗δ /ε∃71∗δ
)∗0746∋∀370 Νδ 20:68367 Π = Νδ 20:68659 Π =
)∗0746∋<7−∗.]6 Ο ΠϑιηιηΟµ 20692576 = Ο ΠϑιηΟΠεΝ ΠϑλΠΠηηΟ =
Ε6./Ξ λδ 20692;69 δΝΟιΠΠ = λΝ 20692;69 ΝιλΠεε =
&73∗23=&73∗23 ΝΠ 20:9476 Π = ΝΠ 20:95;69 Π =
&73∗[∗−43 λ Ν δϑλλ∃=ΝΠ = Ν Ν Π =
93.4353,,6 56 20678563 ηιηΝλΟ = λλ 20678563 364:36 =
)∗0746∋≅6Υ32Τ ΝΝ 20:6:22; 20:7;;76 = ΝΝ 20:69968 µΠλδµϑΝ =
<7−.−/3/ δε ΠϑµµιµΟι 6:7:804 =63 204:6544 Π =
)3Ζ∋/0∋&7−Σ676 δι ΠϑµδλδΟδ 206;:459 = δη ΠϑµδλΟΟΟ 20856;94 =
?3.8 62 20546799 3::692 = λι 20546799 ΝΠηµµλ =
<3∗73Ρ0.3 Νε ΠϑιΝΠηµ ΝΠδµδλι = Νε ΠϑιΝΠµεε 7532;6 =
&5∗3Ζ∗, 36 ΠϑιΝΠιµε µδιδΝδ = 36 ΠϑιΝΠιµε 56;82; =
Η3.∋>∗−Χ∋/0∋
)3,0.[∗0 66 ΠϑδΝιΝλµ ΟιεΟδϑι = 64 ΠϑδΝιΝλµ µηηΟµϑη =
Ε6Σ3, ι ΠϑΟΠιηµΝ ΝϑµΠΝεη = ι ΠϑΟΠιλΠλ ΠϑλΝηΠεδ =
;762∗ λε 20635483 µηδµιε = 56 20635483 :65265 =
)−3Ρ6.40 λη ΠϑληΝΝη 20435;26 =68 2026375:8 ΠϑΠδιµΟδε =
ϕ∗3/∗3Χ 46 208:6265 ΠϑδιΠΟηλ = 46 208:6293 20535;66 =
Α−6Ψ32Ψ3 δλ ΠϑµιΟιµµ ΠϑλµΠλιδ = δδ 208;2764 206;359 =
#−+∗,,3 λι 2058946; Π = λµ 20589;56 Π =
?3.3∗70 67 ΠϑΝδηεδΝ Π = 65 20349968 20296:383 =
∆7−+83 68 202688633 Π = 67 20268832; Π =
Ε35∗37Τ 6ΠϑΟΟηµιι :29868 =6ΠϑΟΟηειλ εµεΝδι =
&−Σ0 Νι ΠϑηµιΠΟΟ δειηΝδ = Νι 20989;;6 674:45 =
∀0−Β3 δ Ν Π = Ν Ν Π =
)3,07Ρ6 δΠ ΠϑηδµηεΟ Π = δΠ 20948;36 ΠϑλεδιΠη =
93Χ4−,,3∋>3∋∀∗0Β3 Νµ ΠϑηΟδηΟδ 526:682 = Νµ ΠϑηΟδµιη 462;32 =
&23283Χ η ΠϑΟδΟΝΝδ Π = η ΠϑΟδιΟµΟ ΝδΠϑΝλη =
∴−,,3Β−20.2−6 ε 20;7:6;3 204:6988 = ε 20;7:645 ΠϑΟλλεηΟ =
)∗0746∋>ΞΣ0Ζ Νη 209:5:68 2039645: = Νη 209:6227 203::653 =
)∗0746∋ϕ3−4Τ. λΠ ΠϑεΝΠλε 723656 = δΟ 20732467 εΝµεµΟ =
9Κ2∗43 Ν Ν Π = Ν Ν Π =
Η3+3.3∋/0∋ ΠϑµΝΠΠλη Π = δι 20833674 2063:43: =
)∗0746∋&Χ8Χ λµ Πϑλιηεηλ 2029:6:;: = λε 205:96:9 20387796 =
ϕ∗3Ρ∗0Ζ 65 ΠϑδιΟηΝδ Π = 62 ΠϑδιΟεηδ 202;629;4 =
)∗0746∋93−20/6 λΟ ΠϑλδΟηµη Π = λη ΠϑλδΟληµ 20396669 =
;7−46 63 ΠϑλΠΟδε Π = λΟ ΠϑλΠΟΠµ Πϑλιιδλ =
Η3.∋?−5∗0, 64 ΠϑδΟΝΠηΟ ΠϑΝλιηΠη = 66 ΠϑΝΝδµιΟ 202256353 =
)∗0746∋γ−,2Ψ0Χ δµ 2087;568 Π = δε ΠϑµεΟµΟ Π =
≅3773.23+07Ρ0ς3 µ ΠϑΟλδΟλ Πϑεµιιδε = µ 20;54546 Π =
Η3.∋∴−20.40 δΝ ΠϑηΠλδεδ Π = δΝ 20924436 Πϑηιειεε =
Η3+3.3∋/0∋<6770Χ δη ΠϑµλιΠΝµ 368372 = δµ ΠϑµλιΠΝµ ιλΟεδϑΝ =
Α−6.0576 λΝ ΠϑεΠεµΠδ Π = λΠ ΠϑεΠεδµλ Π =
RwtkÞecek„p ΝΟ 20958336 ΝϑΝΝδΟη = ΝΟ 20956776 Π =
;74053 λλ 20686955 ΠϑηΟµΠει = λδ 20686273 2033:466 =
)−0/73Χ δδ ΠϑµΟΠΝλλ ΠϑηΟµΠει = δλ ΠϑµΟΠΝλλ ΟιλδΠϑΟ =
?0,537 Νλ ΠϑιδµΝµ ΝϑΝηΠηλ = Νλ ΠϑιδµδΟΟ Π =
ΖΥ
!∀#∃%∃&∋(#∀()∗(∀+∃%∃∀∋%∃∗(∀∋(∀)(,−.(#∀()∗−(/∀0∗)1∗−(2∀3/.)∀/∗−4(,∋∗(∗2)∃%∗%∃&∋(#∀)(∗∋5)∃−∃−(∀∋6.)6∀∋3∀(#∀(#∗3.−
∋&()∗+9−+.(/∀0#12∗/−+34∋+5∗2(0∗+&−6+9
Α3.β(∋Α3.β−.5∋ s
!ρΧ,32β(∋Φ6,5∗73∋/0,∋#+Φ&%∋ 6ρΧ3,2β(∋Φ6,5∗73∋/0,∋−&%Φ&%
ΩςςΠ ΩςςΘ
5ΙΓ .1∋δ
s
%ε∃71∗δ /ε∃71∗δ,
#&≅(α
/ε∃71∗δ,
∃17≅&α .1∋δ
s
%ε∃71∗δ /ε∃71∗δ,
#&≅(α
/ε∃71∗δ,
∃17≅&α
)∗0746∋∀370 56 Πϑηµ 46726; = = Νε Ν 5356:; ΝΟϑη =
)∗0746∋<7−∗.]6 λΠ ΠϑιΝηδ 202626836 = = 65 ΠϑΟΝη 96:809 3036884 =
Ε6./Ξ δι Πϑιλµµ ΟΝεµλΠ = = δµ Ν :65782 ΝΝϑΠδ =
&73∗23=&73∗23 λδ 20:2:6 466:62 = = λλ ΠϑΟιΝ δηΟµµδ ΝΝϑλΝηη =
&73∗[∗−43 λε ΠϑηειΟ 6:7952 = = ΝΟ Ν 676:87 διϑλη =
93.4353,,6 δη 20:656 δΝµΟδηΟ = = δε Ν ηµηιδΠ µϑηΟ =
)∗0746∋≅6Υ32Τ δδ ΠϑΟΠΝ 5;96:3 = = δΝ Ν 748246 ;06; =
<7−.−/3/ δΟ ΠϑιδιΟ 6:3737 = = λε ΠϑΟηΝ 5:2496 εϑλλΟΠµ =
)3Ζ∋/0∋&7−Σ676 6Ν Π = = η Ν Οιλµϑµ = =
?3.8 ι Ν ΟδΠιεδ = = δδ Ν 8:4693 = =
<3∗73Ρ0.3 ΝΠ Ν 38634;; = = δη Ν 3267: = =
&5∗3Ζ∗, Ο Ν 34856;3 = = 64 ΠϑΟΝιλ 942692 = =
Η3.∋>∗−Χ∋/0∋
)3,0.[∗0 λΝ 20:369 ;37686 = = 46 Ν ηµεµµµ ΝΠϑηη =
Ε6Σ3, Νλ ΠϑΟΟηΟ ηεµΟιϑδ = = Νδ Ν ΝΝµηδδ = =
;762∗ ΝΝ Ν δΝΝδληι = = λΝ Ν 696256 =20672227
)−3Ρ6.40 Νη ΠϑΟελδ 452967 = = λΟ ΠϑΟεεΝ 383:63 = =
ϕ∗3/∗3Χ λη Πϑηλµη ΠϑΠΠδειµε = = µ Ν 6:4:7 δδϑεδ =
Α−6Ψ32Ψ3 λΟ ΠϑηΠηλ Π = = ε Ν 4;256 δλϑδη =
#−+∗,,3 64 208368 Π = = ι Ν µηεΠµ ΝιϑΠλ =
?3.3∗70 67 20678; :6688 = Νεϑηη ΝΝ Ν ΝΝµδΟΝ 6906 =
∆7−+83 68 20669; 20298566 = = 68 Πϑειεµ µµεΝϑι Νλϑηλ =
Ε35∗37Τ δΠ ΠϑΟδΝΝ ΝδΠδδΠη = = δι Ν δΝλµλ 6028 =
&−Σ0 λµ ΠϑηλΟδ 87569: = = δΟ Ν 666:6 δδϑελ =
∀0−Β3 36 ΠϑΟηΟη ΝµεΟιϑι = = λη ΠϑΟει 6760; = =
)3,07Ρ6 λλ ΠϑηµµΟ λεΝΠλλ = = λµ 20;846 567287 ΝλϑΝλλλ =
93Χ4−,,3∋>3∋∀∗0Β3 Νδ Ν 65;8367 = = δλ Ν ηληΟηΝ = 46073
&23283Χ µ Ν 68:427 ΝϑλΝ = Νµ Ν λµδιδε = ιϑΝ
∴−,,3Β−20.2−6 Ν Ν Π = = 6Ν ΝδδΝη = δΝϑΠδ
)∗0746∋>ΞΣ0Ζ 46 20:;56 Π = = Ο Ν ::694 µϑιλ =
)∗0746∋ϕ3−4Τ. 66 Πϑεηδε 3739699 =3506: λΠ Ν 68947; 4069 =
9Κ2∗43 Ν Ν Π = = Ν Ν Π = Π
Η3+3.3∋/0∋ ΠϑΟΠΠλ Π = = 56 20;9:6 ηλεϑε εϑεΠΝΠδ =
)∗0746∋&Χ8Χ ΝΟ ΠϑΟδλιΝ Π = = Ν Ν Π = Π
ϕ∗3Ρ∗0Ζ 63 Πϑµµλδιι ΠϑΠλµελΝε = ιϑεΠηελ 62 20;6;: ηεηΠϑι δδϑεηι =
)∗0746∋93−20/6 λι Πϑηλµε ;66;083 = = ΝΠ Ν 323463 ΝΟϑΟλ =
;7−46 62 ΠϑµΟΝΟ ΝιµλΝϑι = = 67 20:63 ΝλΟΠΟδ µϑεΝηδµ =
Η3.∋?−5∗0, 65 ΠϑεΟιε Π = = λι ΠϑΟεµΟ 765905 λΠϑελΝε =
)∗0746∋γ−,2Ψ0Χ ε Ν 342467 = = Νλ Ν ΝδµλΠε = =
≅3773.23+07Ρ0ς3 λ Ν Π = = Ν Ν Π = =
Η3.∋∴−20.40 δε ΠϑιµηΝ 379;;06 = = 36 Ν δµΝδλη 36025 =
Η3+3.3∋/0∋<6770Χ η Ν εµΟδεµ = = δΠ Ν 6:4573 = =
Α−6.0576 δµ Πϑιεε ΠϑΝµδιΟΝ = = 66 ΠϑιηΝε 464509 = =
RwtkÞecek„p δΝ ΠϑΟΝΠΟ 443695 = = Νι Ν λΟµΠµΝ ηϑδΟ =
;74053 Νε ΠϑΟµδλ Π = = λδ ΠϑΟιµΝ 3268;6 = δΠϑηµε
)−0/73Χ Νι 20;6:4 µΠΠληλ = = 63 ΠϑΟληΝ 732:66 = =
?0,537 Νµ ΠϑΟεΟη λδηϑηλΟ = = Νη Ν 58:69: = =
ΖΩ
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ΜδΠΠιΘ
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Χ02∗./37−3Θ
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Χ053,∋ΜδΠΠλΘ ∆Η&
ΝΝ∋Χ07Β−2−6Χ∋
/0∋εΠ∋/0∋
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ΝΟΟλ=ΝΟΟι #∃&
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%&=(&2
)70Χ∗Σ∗0Χ46:∋Σ37[∗0∋ΡΞΒ−,:∋Σ07Χ6.3,∋Μ<9Θ∋∋
Μ
∀σ∋Χ∗2∗7Χ3,0Χ:∋.σ∋,−+7076Χ:∋53Χ46∋6Σ0734−Β6∋Σ07∋2ΤΣ−43:∋
qvtq"rgtuqpcn."hqpfqu"dkdnkqitƒÞequ."∋
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Ν∗0<=≅1ϑ+
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.#∃%&≅/∃−∃:7%&/∃φ∋
)07Χ6.3,:∋Σ70Χ∗Σ∗0Χ46∋
Ρ1(&<5∋
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VtƒÞeq<∋∋
)07Χ6.3,:∋.ϑσ∋/0∋Β0Ψ82∗,6Χ∋0.∋Χ07Β−2−6∋
∋∆1/#(=<5
)07Χ6.3,:∋Σ70Χ∗Σ∗0Χ46
!∆>1/ϑ+
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Κ(>;<=?(&=<1ϑ+
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∀ϑσ∋Ρ∗0746Χ∋0.∋−.20./−6Χ:∋Σ7/−/3Χ∋Σ67∋]∗056:∋Σ37[∗0∋
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Μ
∀ϑσ∋∗Χ∗37−6Χ:∋.ϑσ∋/0∋Β−Χ−43Χ:∋74−6∋/0∋/0Β6,∗2−6.0Χ∋∋
Ν1>Ο∀(/+Π+Θ1>2
∃ΧΣ32−6∋0.∋∗Χ6∋
Ν∗0<=≅1ϑ+
!./−20∋/0∋278Ρ0.0Χ∋Σ67∋2−∗/3/∋
.(=∗?<21+2(+∆1/∀>1/ϑ+
9−∗/3/3.6Χ∋340./−/6Χ∋
Ρ1(&<5∋
UwrgtÞekg"cvgpfkfc"
Σ>ΦΒ<=∗ϑ∋
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Ρ−,,3∋
∋∆1/#(=<5
9−∗/3/3.6Χ∋340./−/6Χ:∋35∗3∋Χ∗Ρ−.−Χ473/3
Η43Χ4.3:∋>ϑ∋
ϕ70567:∋?ϑ∋
ΜδΠΝΠΘ
Α0ΣΚ+,−23∋
9Ψ023
δΠδ∋
Ρ∗.−2−Σ−6Χ δΠΠλ=δΠΠι #∃&=Ηχ&
Ι∗/+?1/#∗/+=∗>>
&/Ρ−.−Χ4732−Ξ.:∋357−2∗,4∗73:∋2∗,4∗73∋Υ∋/0Σ6740ϑ∋
0/∗232−Ξ.:∋Ρ0/−6∋3Ρ+−0.40:∋Σ764022−Ξ.:∋Χ3,∗/:∋Β−Β−0./3∋
Υ∋/0Χ3776,,6∋<077−467−3,:∋−./∗Χ47−3∋Υ∋,3∋−.]730Χ47∗24∗73(∋
ΣΚ+,−23:∋Χ05∗7−/3/:∋Σ6,84−23∋Χ62−3,∋Υ∋,3+673,ϑ
42∀=1=
>6Χ∋3,∗Ρ.6Χ∋/0∋,3Χ∋0Χ2∗0,3Χ∋Σ7−Ρ37−3Χ∋Υ∋ς37/−.0Χ∋
/0∋−.]3.40Χ∋
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%&/#101=10(/
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Τ703∋
Τ<1ϑ
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937704073Χ∋Ρ∗.−2−Σ3,0Χ(
∃Χ432−6.0Χ∋/0∋3∗46+∗Χ0Χ∋∋
)6+,32−Ξ.∋0.∋0,∋/−Χ47−46∋
)6+,32−Ξ.∋Ρ3Υ67∋/0∋µε∋3⊥6Χ∋/0∋0/3/∋
Ι1+∃∗0<=≅1+5∀&<=
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