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Simulado Civil 03 Gabarito

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(1)

WOL]NIFC

WOL]NIFC

4

4

7

7

RPMWCN]ËÇC\

RPMWCN]ËÇC\

WmkuefiAism

WmkuefiAism

G T - G M L 0 4 9 ?

G T - G M L 0 4 9 ?

Gcegursc piri c Gcrpc fm Mekmejmorcs fi

Gcegursc piri c Gcrpc fm Mekmejmorcs fi

Liroeji fc @rison 

(2)

WOL]NIFC 47

WOL]NIFC 47

 ‗

 ‗

 Y]MWVÇC 49

 Y]MWVÇC 49

]l mekmejmorc gcestruoré uli lirquosm ml gcegrmtc fm

]l mekmejmorc gcestruoré uli lirquosm ml gcegrmtc fm

6,4 

6,4 

 fm gclprolmetc m gcl fm gclprolmetc m gcl uli lurmti fm inturi J ei sui mxtrmlofifm. Gcesofmrm i lirquosm gclc uli voki uli lurmti fm inturi J ei sui mxtrmlofifm. Gcesofmrm i lirquosm gclc uli voki solpnmslmetm mekistifi. C litmroin gcestotuoetm fi lurmti oetrcfuzoré uli girki solpnmslmetm mekistifi. C litmroin gcestotuoetm fi lurmti oetrcfuzoré uli girki gcegmetrifi ei mxtrmlofifm fi lirquosm fm

gcegmetrifi ei mxtrmlofifm fi lirquosm fm

0,4 

0,4 

  piri gifi lmtrc fm inturi fi  piri gifi lmtrc fm inturi fi lurmti.

lurmti.

Gcesofmriefc qum i lirquosm eçc mstiré frmeifi (cu smhi, pcfm igulunir ékui) m qum Gcesofmriefc qum i lirquosm eçc mstiré frmeifi (cu smhi, pcfm igulunir ékui) m qum i oetmraigm metrm i nihm m i voki fm gcegrmtc sc`rm i quin tin nihm msté ipcoifi supcrti i oetmraigm metrm i nihm m i voki fm gcegrmtc sc`rm i quin tin nihm msté ipcoifi supcrti ul lclmetc anmtcr léxolc emkitovc fm

ul lclmetc anmtcr léxolc emkitovc fm

;4 

;4 .

.

 m ul msacrëc gcrtietm léxolc fm m ul msacrëc gcrtietm léxolc fm

74 

74 

, rmspcefi8, rmspcefi8 i)

i) Yuin i léxoli inturi qum Yuin i léxoli inturi qum i lurmti pcfm tmr gisc i i lurmti pcfm tmr gisc i lirquosm aoqum megjirgifi3lirquosm aoqum megjirgifi3 (6 pcetcs)

(6 pcetcs) `)

`) Yuin i ecvi inturi léxoli fi lurmti gisc c vçc iulmetm piriYuin i ecvi inturi léxoli fi lurmti gisc c vçc iulmetm piri

1,4 

1,4 

3 (63 (6 pcetcs)

pcetcs) Fifcs8

Fifcs8

Fmsgcesofmrm c pmsc pr÷proc fi nihm fi lirquosm. Fmsgcesofmrm c pmsc pr÷proc fi nihm fi lirquosm.



é

é

 < 94 bE/l· < 94 bE/l·

PMWCN]ËÇC8

PMWCN]ËÇC8

I

I

q

q

<

<

,

,

 << 



∟

∟ << ,∟

,∟ 

  

⁆⁆

i) i) 6,46,4 `) `) 1,41,4

(3)

i)

i)

∙∙

  

<< 

 ∟  ∟

 ∟  ∟ +∟<

+  ∟  < 

  



  

<<  ∟

∟ ++ ∟

∟  << 

 

  ∟

∟

Wmefc

Wmefc



  é

é

<<    ∟∟ 



é

é

<<









≍≍ ,,  





<< 



  

<<  ++ ∟

∟ ∟

∟  << 

 

Wmefc

Wmefc



  é

é

<<    ∟∟ 



é

é

<<









≍≍ ,,  

Gclc i acrëi gcrtietm ï lios grìtogi, i inturi léxoli qum i lu

Gclc i acrëi gcrtietm ï lios grìtogi, i inturi léxoli qum i lurmti pcfmré

rmti pcfmré

tmr ï fm

tmr ï fm

4,;9 

4,;9 

..

`)

`)

∙∙

  

<< 

 ∟  ∟

 ∟  ∟ +∟<

+  ∟  < 

  



  

<<  ∟∟  ++  ∟∟  <<   

  ∟∟ 



é

é

<< 



 ≍≍ ,,  





  

<< 

(4)



  

<< ∟

∟ +

+ ∟

∟ ∟

∟  << 

 

Wmefc

Wmefc



  

é

é

<< 

 



é

é

<<









≍≍ ,,  

Gclc c lclmetc anmtcr ï lios grìtogc, i inturi léxoli qum i lurmti

Gclc c lclmetc anmtcr ï lios grìtogc, i inturi léxoli qum i lurmti

pcfm tmr ï fm

(5)

WOL]NIFC 47

WOL]NIFC 47

 ‗

 ‗

 Y]MWVÇC 40

 Y]MWVÇC 40

C moxc msqumlitozifc i smkuor, fm smëçc triesvmrsin gorgunir m foàlmtrc okuin i 74 ll, C moxc msqumlitozifc i smkuor, fm smëçc triesvmrsin gorgunir m foàlmtrc okuin i 74 ll, msté su`lmtofc äs girkis ecrlin m fm tcrqum oefogifis ei

msté su`lmtofc äs girkis ecrlin m fm tcrqum oefogifis ei aokuri.aokuri.

I pirtor fcs fifcs acremgofcs, gcestrui c gìrgunc fm Lcjr rmnitovc ic mstifc pniec fm I pirtor fcs fifcs acremgofcs, gcestrui c gìrgunc fm Lcjr rmnitovc ic mstifc pniec fm tmesýms ic quin c pcetc „T“, ei supmraìgom fc moxc, msté su`lmtofc, oefogiefc cs vincrms tmesýms ic quin c pcetc „T“, ei supmraìgom fc moxc, msté su`lmtofc, oefogiefc cs vincrms fis tmesýms proegopios (

fis tmesýms proegopios (

99 m m

00) m i ) m i léxoli tmesçc fm gosinjilmetc (léxoli tmesçc fm gosinjilmetc (



éé).). A÷rlunis8 A÷rlunis8 (piri tcrëçc) (piri tcrëçc) (piri anmxçc) (piri anmxçc)

(6)

PMWCN]ËÇC8

PMWCN]ËÇC8

]li vmz qum i mstruturi msté su`lmtofi i msacrëcs fm triëçc ueofolmesoceios m

]li vmz qum i mstruturi msté su`lmtofi i msacrëcs fm triëçc ueofolmesoceios m

msacrëc fm gosinjilmetc fmvofc ä triëçc, pcfm-sm rmprmsmetir c pcetc T pmnc

msacrëc fm gosinjilmetc fmvofc ä triëçc, pcfm-sm rmprmsmetir c pcetc T pmnc

smkuoetm mnmlmetc oeaoeotmsolin.

smkuoetm mnmlmetc oeaoeotmsolin.

Fi smëçc triesvmrsin gorgunir, tml-sm8

Fi smëçc triesvmrsin gorgunir, tml-sm8

 

  <

<

 ∟  , 

 ∟  , 

 

<

< 

,, 



 



 



<

< 

 <

< 





 

<

<





,

,

+

+





∟∟ 



 <

< 





, 

,  

 





 < 

 < 

éé

éé

(7)



<

<

 ∟∟ 







<

<

 ∟  , 

 ∟  , 







<

< 

,, 





 



 

éé

<

<

, 

,  

 ∟∟ 

 ∟∟ 



 

 

 

,

, 

 

 



<

< 



, 

,  

 



 

<

< 

Nckc, c mstifc pniec fm tmesýms pcfm smr rmprmsmetifc pcr8

Nckc, c mstifc pniec fm tmesýms pcfm smr rmprmsmetifc pcr8

 ,, , ,  ,,

((,2∐,

,2∐,)) 

  ((2,

2,))

((

 +

+ 



 ℅é

℅é ))

(8)

• •

Gìrgunc fm Lcjr8

Gìrgunc fm Lcjr8



<

<





,, 

 ∐

∐ 

<

< 



, 

,  

 



 



<

< 



, 

, 



+   , 

+   , 



 <

< 



, 

,  

 





<

< 

+

+ 

 <

< 





, 

,  

 





<

< 

∐ 

 <

< ∐

∐



, 

,  

 





éé

<

< ¹

¹

 <

< ¹

¹



, 

,  

 





éé

éé ((2,2,)) ((,2,2 ∐∐,,))   ∐ ∐  



4 4

(9)

WOL]NIFC 47

WOL]NIFC 47

 ‗

 ‗

 Y]MWVÇC 47

 Y]MWVÇC 47

Gcesofmrm i smkuoetm krmnji oscstétogi8 Gcesofmrm i smkuoetm krmnji oscstétogi8

i)

i) Fmtmrloem cs foikrilis fm Fmtmrloem cs foikrilis fm msacrëc gcrtietm, lclmetc anmtcr m lclmetc tcrëcrmsacrëc gcrtietm, lclmetc anmtcr m lclmetc tcrëcr fmsti mstruturi (7 pcetcs)

fmsti mstruturi (7 pcetcs) `)

`) Gcesofmriefc qum is smëýms triesvmrsios fm tcfis is `irris fi mstruturi smrçcGcesofmriefc qum is smëýms triesvmrsios fm tcfis is `irris fi mstruturi smrçc okuios m gorgunirms, fmtmrloem c lìeolc foàlmtrc qum i

okuios m gorgunirms, fmtmrloem c lìeolc foàlmtrc qum i smëçc fmvmré tmr sm, pirismëçc fmvmré tmr sm, piri mstm litmroin,

mstm litmroin,

,ç,ç

<

< 0,

0,4

4 /

/°

°

mm

,ëç,ëç

<

< 4,

4,:

: /

/

°°

.. Ifctm oegrmlmetcs fm = gl piri mspmgoaogir i smëçc (0

Ifctm oegrmlmetcs fm = gl piri mspmgoaogir i smëçc (0 pcetcs)pcetcs) g)

g) Fmtmrloem c ecvc foàlmtrc lìeolc fi Fmtmrloem c ecvc foàlmtrc lìeolc fi smëçc giscsmëçc gisc



,é,é

<

< 4,

4,0=

0= /

/°

°

 (7 (7 pcetcs) pcetcs) A÷rlunis8 A÷rlunis8 (piri tcrëçc) (piri tcrëçc) (piri anmxçc) (piri anmxçc)



(10)

PMWCN]ËÇC8

PMWCN]ËÇC8

i)

i)

∙ 

<

< 

∙ 

<

< 

∙ 

<

< 

<

< 

 

 

<

< 



 



 ∟∟ 

<

< 



 ∟∟ 

 <

< 



 



 ∟∟ 

94 94 I I 94 94 @ @ G G F F M M L L V V

94 94 94 94 94 94 04 04 04 04 04 04 4 4 44 + + + + - -+ + + +





  ∟ 

  ∟ 

  ∟ 

  ∟ 

0404 64 64 04 04

(11)

`)

`)

Wmëçc gcl léxolc lclmetc anmtcr (grìtogc)8

Wmëçc gcl léxolc lclmetc anmtcr (grìtogc)8

6

64

4,,4

4 



 ∟∟ 

Wmëçc gorgunir8

Wmëçc gorgunir8



<

< 



, nckc

, nckc



 smré grìtogc m fmvmré nolotir

 smré grìtogc m fmvmré nolotir i smëçc.

i smëçc.

 <

<

 ∟∟ 

 





 

 

 ,  <

 ,  <







 



 ∟∟ 

 ∟∟

 ∟∟ 







 ,  <

 ,  <





 ∟∟ 



∟∟ 





<

<







 ∟∟ 



 ,  ∟ 

 ,  ∟ 

 <

< 



,, 



 

Nckc, ifctiefc smëçc fm

Nckc, ifctiefc smëçc fm

 <

< 6

64

4 

,,  <

< 9

90

0=

=1

11

17

7,,;

; 



,,

é,é,

<

<







 ∟∟ 





,

, 

<

< 

, 

, 

 



 

 

g)

g)

Emssm gisc, fmvm-sm gclpcr c msacrëc fm gosinjilmetc cgcrrofc fmvofc ä

Emssm gisc, fmvm-sm gclpcr c msacrëc fm gosinjilmetc cgcrrofc fmvofc ä

acrëi gcrtietm m fmvofc ic lclmetc tcrëcr. Ei smëçc gorgunir gjmoi, ei

acrëi gcrtietm m fmvofc ic lclmetc tcrëcr. Ei smëçc gorgunir gjmoi, ei

smëçc fc ipcoc8

smëçc fc ipcoc8

f f  é,é,  é,é,

é,é,

<

<

 ∟∟



(12)



<

<

 ∟∟ 

 ∟∟ 





<

<



 



 ∟∟







 ∟∟ 













 

 

 



 <

<

∟∟  

 <

< 





<

<

 ∟∟ 







<

<





 

 ∟∟ 



 ∟∟ 













 

 

 







<  ,   ≦

<  ,   ≦





 +

+ 







Nckc, smré emgmsséroc iulmetir i smëçc piri

Nckc, smré emgmsséroc iulmetir i smëçc piri

 <

< 6

6=

= 

  piri qum eçc

  piri qum eçc

rclpi pcr gosinjilmetc.

rclpi pcr gosinjilmetc.

f (gl)

f (gl)





64

4,76

64

4,76

6=

4,06

6=

4,06

=4

-=4

-

 <

<

 ∟∟ 

 

∟∟









<

<

 





 ∟  ∟∛∛



éé

(13)

WOL]NIFC 47

WOL]NIFC 47

 ‗

 ‗

 Y]MWVÇC 46

 Y]MWVÇC 46

Gcesofmrm ul ponir voegunifc fm igcrfc gcl i aokuri i

Gcesofmrm ul ponir voegunifc fm igcrfc gcl i aokuri i smkuor m rmspcefi ic qum sm pmfm8smkuor m rmspcefi ic qum sm pmfm8

i)

i) Gingunm i rizçc metrm is folmesýms „`“ m „j“ fm acrli qum i girki fm anil`ikmlGingunm i rizçc metrm is folmesýms „`“ m „j“ fm acrli qum i girki fm anil`ikml smhi i léxoli pcssìvmn (6 pcetcs)

smhi i léxoli pcssìvmn (6 pcetcs) `)

`) Fmtmrloem, piri i érmiFmtmrloem, piri i érmi gingunifi ec otml „i“, i rizçc fi rmsostèegoi metrm mstigingunifi ec otml „i“, i rizçc fi rmsostèegoi metrm msti smëçc rmtiekunir m uli smëçc gorgunir fm lmsli érmi (6 pcetcs)

smëçc rmtiekunir m uli smëçc gorgunir fm lmsli érmi (6 pcetcs)

Fifcs8 Fifcs8

Girki grìtogi fm anil`ikml fm Munmr8

Girki grìtogi fm anil`ikml fm Munmr8





<<











Lclmetc fm Oeïrgoi fc

Lclmetc fm Oeïrgoi fc rmtàekunc8rmtàekunc8

<<℅·℅· 9090⁆⁆   <<℅·℅· 9090⁆⁆

Lclmetc fm Oeïrgoi fc gìrgunc8

Lclmetc fm Oeïrgoi fc gìrgunc8

<< 



1616⁆⁆

PMWCN]ËÇC8

PMWCN]ËÇC8

i)

i)

Tiri c pniec

Tiri c pniec



,,



  

<<,,  





<<



<<∟∟











<<



∟∟∟∟∟∟





((,,  ))



<<



,∟

,∟

∟∟∟

∟∟∟





Lclmetc fm oeïrgoi Lclmetc fm oeïrgoi ml tcrec fm z ml tcrec fm z

(14)

Tiri c pniec

Tiri c pniec



,,



  

<<

..





<<



<<∟∟











<<



∟∟∟∟∟∟









<<



∟∟∟

∟∟∟

∟

∟





Tiri girki fm

Tiri girki fm anil`ikml léxoli pcssìvmn,

anil`ikml léxoli pcssìvmn,







<<





88





∟∟∟

∟∟∟



,∟

,∟



<<



∟∟∟

∟∟∟

∟

∟





∟∟

,

, <<∟∟











,

,<< 

 ←











<< ,

, ←

<<∘ ∘ ,,<,

<,

Nckc, piri

Nckc, piri

<,

<,

, i girki grìtogi fm anil`ikm

, i girki grìtogi fm anil`ikml ï i léxoli pcssìvmn

l ï i léxoli pcssìvmn

piri mssm mnmlmetc mstruturin.

piri mssm mnmlmetc mstruturin.

`)

`)

Tiri i smëçc gorgunir, c lclmetc fm oeïrgoi ï okuin ml tcfis is formëýms,

Tiri i smëçc gorgunir, c lclmetc fm oeïrgoi ï okuin ml tcfis is formëýms,

smefc c pniec grìtogc fm anil`ikml, pcrtietc, c

smefc c pniec grìtogc fm anil`ikml, pcrtietc, c pniec

pniec



, gcl

, gcl



  

<<

..





<<∟∟











<<



∟∟∟∟∟∟









<<



∟∟∟

∟∟∟

∟

∟





Ec gisc i,

Ec gisc i,

<<,,   ←









<< 



∟∟∟

∟∟∟((,,  ))







<<

,∟

,∟



∟∟

∟∟





Wmefc i érmi fm smëçc gorgunir okuin i fi rmtiekunir.

Wmefc i érmi fm smëçc gorgunir okuin i fi rmtiekunir.

0

(15)

∟<

∟<∟∟

 ←



<<∘ ∘ ∟∟

∟∟

 <<∘ ∘ ∟,∟

∟,∟

 <<,,  



Issol,

Issol,







<<



∟∟∟

∟∟∟((,,  ))

 

 





<<

,,  



∟∟

∟∟





Nckc,

Nckc,















<<





∟∟

∟∟



,,  







∟∟

∟∟



,,  



<<,

,

,

,<,

<,

Tcrtietc, emssm gisc, i smëçc rmtiekunir ï

Tcrtietc, emssm gisc, i smëçc rmtiekunir ï

=4 %

=4 %

  lios maogometm

  lios maogometm

mstruturinlmetm fc qum i smëçc gorgunir.

(16)

WOL]NIFC 47

WOL]NIFC 47

 ‗

 ‗

 Y]MWVÇC 4=

 Y]MWVÇC 4=

I voki `oipcoifi fm 94 l fm gclprolmetc mstiré su`lmtofi i uli girki l÷vmn I voki `oipcoifi fm 94 l fm gclprolmetc mstiré su`lmtofi i uli girki l÷vmn gclpcsti fc trml-topc fmlcestrifc ei aokuri i`ioxc8

gclpcsti fc trml-topc fmlcestrifc ei aokuri i`ioxc8

Gcesofmriefc qum eçc jé girki fm luntofçc emstm trml-topc m c pmsc pr÷proc pcfm smr Gcesofmriefc qum eçc jé girki fm luntofçc emstm trml-topc m c pmsc pr÷proc pcfm smr gcesofmrifc fmsprmzìvmn, fmtmrloem8

gcesofmrifc fmsprmzìvmn, fmtmrloem8 i)

i) C lclmetc emkitovc léxolc ic quin i voki pcfmré mstir su`lmtofi (9 pcetc)C lclmetc emkitovc léxolc ic quin i voki pcfmré mstir su`lmtofi (9 pcetc) `)

`) C lclmetc pcsotovc léxolc ic quin C lclmetc pcsotovc léxolc ic quin i voki pcfmré mstir su`lmtofi (0 pcetcs)i voki pcfmré mstir su`lmtofi (0 pcetcs) g)

g) I mevcnt÷roi fm msacrëcs gcrtietms fi voki, ginguniefc cs vincrms eis smëýms I,I mevcnt÷roi fm msacrëcs gcrtietms fi voki, ginguniefc cs vincrms eis smëýms I, @, G, F, M m A

@, G, F, M m A (= pcetcs)(= pcetcs)

PMWCN]ËÇC8

PMWCN]ËÇC8

i)

i)

Tiri mssm gisc, pcsogocei-sm c trml-topc gcl i girki fm

Tiri mssm gisc, pcsogocei-sm c trml-topc gcl i girki fm

044 

044 

 ml I m

 ml I m

944 

944 

 ml @, c`tmefc8

 ml @, c`tmefc8





<<  ∟∟  <<    ∟∟ 

Tiri rmscnuëçc fcs otmes

Tiri rmscnuëçc fcs otmes

ii

 m

 m

``

, pcfm-sm fmtmrloeir is noejis fm oeanuèegoi

, pcfm-sm fmtmrloeir is noejis fm oeanuèegoi

fm lclmetc ml

fm lclmetc ml

@

@

  (piri lclmetc emkitovc léxolc) m

  (piri lclmetc emkitovc léxolc) m

F

F

  (lclmetc

  (lclmetc

pcsotovc léxolc). Iquo, pcrïl, i girki ipmeis smré pcsogoceifi ei

pcsotovc léxolc). Iquo, pcrïl, i girki ipmeis smré pcsogoceifi ei

gceaokuriëçc lios fmsaivcrévmn m c mquonì`roc smré amotc.

(17)

Emsti pcsoëçc, tcfi i voki

Emsti pcsoëçc, tcfi i voki scnogotifi pcr lclmetc emkitovc, smefc c vincr

scnogotifi pcr lclmetc emkitovc, smefc c vincr

léxolc ei smëçc @.

léxolc ei smëçc @.

`)

`)

]li vmz qum eçc jé oeanuèegoi fc `inieëc piri mstm trml-topc, pcfm-sm

]li vmz qum eçc jé oeanuèegoi fc `inieëc piri mstm trml-topc, pcfm-sm

pcsogoceir i girki l÷vmn ecs pcetcs F

pcsogoceir i girki l÷vmn ecs pcetcs F

((044 

044 ))

m

m M

M

((944 

944 ))

  cu ecs

  cu ecs

pcetcs F

pcetcs F

((044 

044 ))

 m G

 m G

((944 

944 )) ←

girki l÷vmn mspmnjifi.

girki l÷vmn mspmnjifi.

∙



<< 

((   ∟∟ ))  ((∟

∟))  ((



∟∟ )) << 





<< 

  



Emsti pcsoëçc, c trmgjc I@ tml lclmetc eunc m c trmgjc @A tml

Emsti pcsoëçc, c trmgjc I@ tml lclmetc eunc m c trmgjc @A tml

lclmetc pcsotovc, smefc c léxolc vincr ml F m

lclmetc pcsotovc, smefc c léxolc vincr ml F m okuin i

okuin i

==444 4  ∟∟ 

..

0,4 

0,4 

044

044

944

944

944

944

044

044

I I MM AA F F G G @ @

(18)

g)

g)

Tiri i mevcnt÷roi, gcestrcml-sm cs NO fm msacrëc gcrtietm ml gifi pcetc

Tiri i mevcnt÷roi, gcestrcml-sm cs NO fm msacrëc gcrtietm ml gifi pcetc

cu, intmreitovilmetm, gingunil-sm cs vincrms fcs msacrëcs gcrtietms piri

cu, intmreitovilmetm, gingunil-sm cs vincrms fcs msacrëcs gcrtietms piri

gifi smëçc issuloefc uli pcsoëçc fc trml-topc.

gifi smëçc issuloefc uli pcsoëçc fc trml-topc.





 9

 9









 9

 9









 4,0=

 4,0=





 4,0=

 4,0=





 4,0=

 4,0=





 4,0=

 4,0=









 4,0=

 4,0=

4 4 44 44 4 4 4 4 4 4 44 4 4 44 9 9 4,;= 4,;= 4,0= 4,0= 4,=4 4,=4 4,=4 4,=4 4,;= 4,;= 4,0= 4,0= 9 9



++

<< 



∐∐

<∟∟<

<∟∟<



++

<< 



∐∐

<∟∟<

<∟∟<



∐∐

<< 



++

<∟,∟<

<∟,∟<



∐∐

<,∟<

<,∟<



++

<,∟,∟<

<,∟,∟<



∐∐

<,∟,∟<

<,∟,∟<



++

<,∟,∟<

<,∟,∟<



∐∐

<,∟,∟<

<,∟,∟<



++

<,∟<

<,∟<



∐∐

<∟,∟<

<∟,∟<



++

<,∟<

<,∟<

(19)

-- - -+ + 044 044 0;= 0;= 0;= 0;= 044 044 90= 90= =4 =4 =4 =4 90= 90= 044 044







Mev.

Mev.

744 744

(20)

WOL]NIFC 47

WOL]NIFC 47

 ‗

 ‗

 Y]MWVÇC 41

 Y]MWVÇC 41

]li nili, gcetmefc

]li nili, gcetmefc

04%04%

 fm pmsc ml s÷nofcs, ï gcncgifi ml ul rmsmrvit÷roc piri i fm pmsc ml s÷nofcs, ï gcncgifi ml ul rmsmrvit÷roc piri i fmpcsoëçc fm s÷nofcs. I lissi mspmgìaogi fi nili ï

fmpcsoëçc fm s÷nofcs. I lissi mspmgìaogi fi nili ï

 9,9=7 /·

 9,9=7 /·

. Ip÷s smfolmetiëçc. Ip÷s smfolmetiëçc tctin, uli ilcstri oefmacrlifi fc smfolmetc ï rmtorifi, tmefc ul vcnulm fm tctin, uli ilcstri oefmacrlifi fc smfolmetc ï rmtorifi, tmefc ul vcnulm fm

7=,6 ·

7=,6 ·

 m lissi fm m lissi fm

=4,7 

=4,7 

. Ip÷s smgikml ml mstuai. Ip÷s smgikml ml mstuai, i ilcstri toeji lissi fm, i ilcstri toeji lissi fm

00,= 

00,= 

.. I pirtor fis

I pirtor fis oeacrliëýms gotifis m gcesofmriefcoeacrliëýms gotifis m gcesofmriefc

ωω

ékui

ékui

<<9,9,4 /4 /··

, fmtmrloem8, fmtmrloem8 i)

i) I lissi mspmgìaogi fcs krçcs gcetofcs ei nili I lissi mspmgìaogi fcs krçcs gcetofcs ei nili (0 pcetcs)(0 pcetcs) `)

`) C ìefogm fm vizocs fc smfolmetc (0 pcetcs)C ìefogm fm vizocs fc smfolmetc (0 pcetcs) g)

g) C ìefogm fm vizocs fi nili (6 pcetcs)C ìefogm fm vizocs fi nili (6 pcetcs)

PMWCN]ËÇC8

PMWCN]ËÇC8

i)

i)

Fc mesioc fm smgikml gcl i ilcstri smfolmetifi, aiz-

Fc mesioc fm smgikml gcl i ilcstri smfolmetifi, aiz-sm8

sm8





<<,,  





<<,,∐∐,,<<, ,  ←





<<,,  



Gcesofmriefc situriëçc tctin (nili).

Gcesofmriefc situriëçc tctin (nili).





<<,,∐∐,,<<, , 

Nckc,

Nckc,



÷

÷

<<







<<,

,,,<<,,  

⁆⁆



`)

`)

Tiri c smfolmetc,

Tiri c smfolmetc,

(21)

g)

g)

Tiri i nili, uli vmz qum msti pcssuo

Tiri i nili, uli vmz qum msti pcssuo

04 %

04 %

 fm pmsc fm s÷nofc ml

 fm pmsc fm s÷nofc ml

9444 

9444 

fm ilcstri8

fm ilcstri8





<<   ←

4

4





<< ,,<<,

, 







<<   ←





<<  



}}







<, 

<, 

⁆⁆



  ,<

  ,< 

 









<<,,  



Issol,

Issol,

<<







<<







<< 

,<,

,

<,

Nili ï siturifi! Nili ï siturifi!

<

<

4

4

(22)

WOL]NIFC 47

WOL]NIFC 47

 ‗

 ‗

 Y]MWVÇC 4;

 Y]MWVÇC 4;

Tiri c pmraon fm

Tiri c pmraon fm scnc fmlcestrifc i smkuor, ms`cgm c foikrili scnc fmlcestrifc i smkuor, ms`cgm c foikrili fm tmesýms tctios, mamtovisfm tmesýms tctios, mamtovis m pcrcprmssçc piri cs smkuoetms giscs8

m pcrcprmssçc piri cs smkuoetms giscs8

i)

i) Wcnc ml mstifc oeogoin, gcl supmraìgom fc tmrrmec ei gctiWcnc ml mstifc oeogoin, gcl supmraìgom fc tmrrmec ei gcti

4,4 

4,4 

 (sml itmrrc) m (sml itmrrc) m eìvmn f‟ékui iancrietm (7 pcetcs)

eìvmn f‟ékui iancrietm (7 pcetcs) `)

`) Nmeëcn armétogc rm`ioxifc piri i gctiNmeëcn armétogc rm`ioxifc piri i gcti

∐7,4 

∐7,4 

 m itmrrc fm m itmrrc fm

 0,4 

 0,4 

 gcestruìfc sc`rm gcestruìfc sc`rm c tmrrmec eiturin (= pcetcs)

c tmrrmec eiturin (= pcetcs) Fifc8 Fifc8



éé

<

< 94

94 /

/·

·

PMWCN]ËÇC8

PMWCN]ËÇC8

i)

i)

<

< 

‰‰

+

+ 

4 4 -6 -6 -; -;

‰‰

‰‰

‰‰

(23)

Gclc c eìvmn f

Gclc c eìvmn f‟‟ékui msté ei gcti 4, tcfis is gilifis mstçc su`lmrsis, gcl

ékui msté ei gcti 4, tcfis is gilifis mstçc su`lmrsis, gcl





<

< 

∐ 

Issol,

Issol,

<

< 

 ∟

 ∟ 

 <

< 



 



 



‰‰

<

< ((  ∐  

  ∐  )) ∟ 

∟  <

< 



 



 



<

< 



 + 

+ 

 <

< 



 



 



<

< 

 ∟

 ∟ 

 <

< 



 



 



‰‰

<

< 

‰‰

+

+ ((  ∐  

  ∐  )) ∟ 

∟  <

< 

 +

 + 



 <

< 



 



 



<

< 



 +

+ 



 <

< 





 



 



`)

`)

Tiri c eìvmn f

Tiri c eìvmn f‟‟ékui ei gcti

ékui ei gcti

∐7,4 

∐7,4 

, c trmgjc fc tcpc fc itmrrc itï i irk

, c trmgjc fc tcpc fc itmrrc itï i irkoni

oni

lïfoi ilirmni m c trmgjc fm

lïfoi ilirmni m c trmgjc fm

4

4

i

i

∐7,4 

∐7,4 

  fi irkoni lïfoi ilirmni eçc

  fi irkoni lïfoi ilirmni eçc

mstirçc su`lmrscs (pcrcprmssçc euni) m cs trmgjcs fm

mstirçc su`lmrscs (pcrcprmssçc euni) m cs trmgjcs fm

∐7,4

∐7,4

i

i

∐6,4 

∐6,4 

m

m

∐6,4

∐6,4

 i

 i

∐;,4 

∐;,4 

 mstirçc su`lmrscs. Issol, ginguni-sm8

 mstirçc su`lmrscs. Issol, ginguni-sm8







‰‰

‰‰

‰‰

‰‰

‰‰

 

0 0 4 4 -7 -7 -6 -6 -; -;

(24)

<

< 

<

< 

‰‰  

<

< 

 ∟

 ∟ 

 <

< 



 



 



<

< 

<

< 

‰‰

<

< 

+ 

+  ∟

 ∟ 

 <

< 



 



 



<

< 

 ∟

 ∟ 

 <

< 



 



 



‰‰

<

< 

‰‰

+

+ ((  ∐  

  ∐  )) ∟∟ 

 <

< 





 



 



<

< 





 +

+ 



 <

< 





 



 



<

< 

 ∟

 ∟ 

 <

< 



 



 



‰‰

<

< 

‰‰

+

+ ((  ∐  

  ∐  )) ∟∟ 

 <

< 





 



 



<

< 





 +

+ 



 <

< 





 



 



(25)

WOL]NIFC 47

WOL]NIFC 47

 ‗

 ‗

 Y]MWVÇC 4:

 Y]MWVÇC 4:

Gcesofmrm cs fcos pmrlmàlmtrcs msqumlitozifcs i smkuor. C pmrlmàlmtrc 9 tml cs Gcesofmrm cs fcos pmrlmàlmtrcs msqumlitozifcs i smkuor. C pmrlmàlmtrc 9 tml cs scncs 9 m 0 fospcstcs fm acrli pirinmni, mequietc c pmrlmàlmtrc 0 tml cs lmslcs scncs 9 m 0 fospcstcs fm acrli pirinmni, mequietc c pmrlmàlmtrc 0 tml cs lmslcs scncs fospcstcs ml sïrom.

scncs fospcstcs ml sïrom.

Wm i érmi triesvmrsin fm il`cs cs

Wm i érmi triesvmrsin fm il`cs cs pmrlmàlmtrcs ï okuin ipmrlmàlmtrcs ï okuin i

9,4 °

9,4 °

, m cs gcmaogometms fm, m cs gcmaogometms fm pmrlmi`onofifm jofréunogi sçc okuios i

pmrlmi`onofifm jofréunogi sçc okuios i

<

< =

=  9

 94

4

∐6∐6  piri c scnc 9 m  piri c scnc 9 m

<

<

 =  94

 =  94

∐∐piri c scncpiri c scnc

0

0

, gingunm8, gingunm8 i)

i) Tiri c pmrlmàlmtrc 9, i Tiri c pmrlmàlmtrc 9, i vizçc fm pmrgcniëçc m is prmssýms emutris ecs pvizçc fm pmrgcniëçc m is prmssýms emutris ecs pcetcscetcs @ m G (6 pcetcs)

@ m G (6 pcetcs) `)

`) Tiri c pmrlmàlmtrc 0, i Tiri c pmrlmàlmtrc 0, i vizçc fm pmrgcniëçc m is prmssýms emutris ecs pcetcsvizçc fm pmrgcniëçc m is prmssýms emutris ecs pcetcs G m F (6 pcetcs) G m F (6 pcetcs) Fifc8 Fifc8



éé

<

< 94

94 /

/·

·

PMWCN]ËÇC8

PMWCN]ËÇC8

Gisc

Gisc 9 9 Gisc Gisc 00

7 7 77 0 0 9 9 99 0 0 I I @ @ G G F F 9 9 00 EIEI Pmamrèegoi Pmamrèegoi I I @ @ G G F F EIEI scnc scnc scncscnc Wcnc 9Wcnc 9 Wcnc 0 Wcnc 0

(26)

i)

i) Gisc 98

Gisc 98

∁

∁

<

< ∁

∁



∟∟ 

<

< 

∟∟ 



<

< 

 <

< 

+

+ 

<

< 

∟  ∟  + 

∟  ∟  + 

∟  ∟ 

∟  ∟ 

 <

< ((

+

+ 

)) ∟  ∟ 

∟  ∟ 

 <

<  ∟ 

 ∟  ∟ 

∟ 

 

 

 <  ,  ∟  

 <  ,  ∟  

∐∐

∟∟ 

, 

,  ∟∟ 

 <

< 

, 

, 

 ∟∟ 



∐∐





 <

<

∁

∁

<

<

 

 

<

< 

, 

,  

 

Nckc, emssm gisc,

Nckc, emssm gisc,



< 

<

,, 

 



<

<



<

<

 ,  ∟  

 ,  ∟  





<

< 

,  

,  

<

< 

+ 

+



<

< 

,, 

 

Gclc

Gclc

∁

∁

 ï gcestietm ic ncekc fc pmrlmàlmtr

 ï gcestietm ic ncekc fc pmrlmàlmtrc,

c,

<

< 

 ∁  ∟ 

 ∁  ∟ 

<

< 

, 

,  

 

 R(

R(

, 

,  

 

⁆ )) ∟∟ 

\\ <

< 

,, 

 

Gclc,

Gclc,





<

< 

, 

,  

,, 



< 

<

, 

,  

 

, 

,  <

< 

, 

,  

m

m

<

< 



∟∟ 

<

< 

, 

,  



 



`)

`) Gisc 08

Gisc 08

∁

 <

< 

, 

,  

 <

< ∁

∁

+

+ ∁

∁

 <

<  ∟ 

 ∟  ∟ 

∟ 

 <

< 

∟∟ 

∟  < 

∟  < 

∟∟ 

∟∟ 

∟∟ 

<

< 

∟∟ 

(27)



<

<



∟∟ 



∁

∁

<

< 

∟∟ 

∁

∁

<

< 

∟∟ 

∁  < 

∁  < 

∟∟ 

+

+ 

∟∟ 

Fm

Fm

ml

ml

88

<

< 

, 

, 

 

 

 ,  ∟ 

 ,  ∟ 



+

+ 



<

< 



<

<

,

, 

<

< 

, 

, 



 

 



<

< 

, 

, 



 

 

Nckc,

Nckc,

 <  ∟  

 <  ∟  

∐∐

∟∟ 

, 

, 



 ∟∟ 

 ≍

≍ 

, 

, 

 ∟∟ 



∐∐





m

m



<

< 

,, 

 



< 

<

,, 

 

 ←

<

< 

,, 

 

∁

∁



<

< 

∟∟ 

<

< 

,, 





 

 ←

<

< 

,, 

 

 

, 

, 



 <

< 

, 

, 



 



<

< 

,, 

 ←



<

< 

, 

, 



 

 

, 

,  <

< 

,, 





 

 ←

<

< 



, 

, 

 



 





<

< 

,, 

 

∁

∁



<

< 

∟∟ 

<

< ,

,

 

 ←

<

< 

,, 

 



<

< 

, 

,  

 

, 

,  <

< 

, 

,  ←

<

< 

 



 



   ,  < 

   ,  < 

∟  + 

∟  + 

∟∟ 

 ←



+

+ 

< 

<

, 

, 

(28)

WOL]NIFC 47

WOL]NIFC 47

 ‗ ‗

 Y]MWVÇC 4?

 Y]MWVÇC 4?

]l mekmejmorc fmsmhi prchmtir uli auefiëçc risi piri uli mfoaogiëçc qum mstiré ]l mekmejmorc fmsmhi prchmtir uli auefiëçc risi piri uli mfoaogiëçc qum mstiré issmetifi sc`rm scnc irmecsc. Tiri c géngunc fi gipigofifm fm girki fi sipiti, c issmetifi sc`rm scnc irmecsc. Tiri c géngunc fi gipigofifm fm girki fi sipiti, c mekmejmorc megcetri c smkuoetm kréaogc, qum gcrrmnigocei i gclpigofifm rmnitovi fc mekmejmorc megcetri c smkuoetm kréaogc, qum gcrrmnigocei i gclpigofifm rmnitovi fc scnc irmecsc gcl c ml`utolmetc rmnitovc fi sipiti ec scnc (prcauefofifm fi sipiti scnc irmecsc gcl c ml`utolmetc rmnitovc fi sipiti ec scnc (prcauefofifm fi sipiti ml rmniëçc gcl is folmesýms ml pnieti fi

ml rmniëçc gcl is folmesýms ml pnieti fi sipiti)8sipiti)8

Wi`mefc qum cs lcfcs fm

Wi`mefc qum cs lcfcs fm rupturi fm uli sipiti ml scnc irmecsc sçc rupturi fm uli sipiti ml scnc irmecsc sçc „Kmrin“, „Ncgin“„Kmrin“, „Ncgin“ m „Tuegoceilmetc“, rmspcefi8

m „Tuegoceilmetc“, rmspcefi8 i)

i) Gcrrmnigocem cs lcfcs fm rupturi gotifcs gcl is rmkoýms fc Gcrrmnigocem cs lcfcs fm rupturi gotifcs gcl is rmkoýms fc kréaogc iprmsmetifckréaogc iprmsmetifc (7 pcetcs)2

(7 pcetcs)2 `)

`) Foamrmegom i rupturi „Kmrin“ fi rupturi pcr „Tuegoceilmetc“, mxpnogiefc cFoamrmegom i rupturi „Kmrin“ fi rupturi pcr „Tuegoceilmetc“, mxpnogiefc c lmgieoslc aìsogc qum kirietm i msti`onofifm fi auefiëçc itï c lclmetc fi lmgieoslc aìsogc qum kirietm i msti`onofifm fi auefiëçc itï c lclmetc fi rupturi (= pcetcs) rupturi (= pcetcs)

I

I

@

@

G

G

(29)

PMWCN]ËÇC8

PMWCN]ËÇC8

i)

i)

Lcfc fm Pupturi „I“8 Pupturi pcr TuegoceilmetcLcfc fm Pupturi „I“8 Pupturi pcr Tuegoceilmetc

Lcfc fm Pupturi „@“8 Pupturi Ncgin

Lcfc fm Pupturi „@“8 Pupturi Ncgin

Lcfc fm Pupturi „G“8 Pupturi Kmrin

Lcfc fm Pupturi „G“8 Pupturi Kmrin

`)

`)

Gceacrlm ï pcssìvmn c`smrvir fc kréaogc iprmsmetifc ei qumstçc, i rupturi

Gceacrlm ï pcssìvmn c`smrvir fc kréaogc iprmsmetifc ei qumstçc, i rupturi

kmrin cgcrrm ml scncs irmecscs fm liocr gclpigofifm rmnitovi m lmecr

kmrin cgcrrm ml scncs irmecscs fm liocr gclpigofifm rmnitovi m lmecr

ml`utolmetc. Issol, scncs lios gclpigtcs, qum kmrinlmetm acremgml

ml`utolmetc. Issol, scncs lios gclpigtcs, qum kmrinlmetm acremgml

liocrms gipigofifms fm girki, pcssuml i acrli fm rupturi lios gitistr÷aogi

liocrms gipigofifms fm girki, pcssuml i acrli fm rupturi lios gitistr÷aogi

m sø`oti. I rupturi kmrin sm iprmsmeti ip÷s i acrliëçc fm uli supmraìgom fm

m sø`oti. I rupturi kmrin sm iprmsmeti ip÷s i acrliëçc fm uli supmraìgom fm

rctiëçc (fmsnozilmetc) gcetìeui, qum sm mstmefm fi `ism fi auefiëçc itï i

rctiëçc (fmsnozilmetc) gcetìeui, qum sm mstmefm fi `ism fi auefiëçc itï i

supmraìgom fc tmrrmec. Is guejis fm scnc i`ioxc fi auefiëçc, qum acremgml

supmraìgom fc tmrrmec. Is guejis fm scnc i`ioxc fi auefiëçc, qum acremgml

gipigofifm fm girki itrivïs fc itrotc scnc-scnc, itoekml c nolotm fi sui

gipigofifm fm girki itrivïs fc itrotc scnc-scnc, itoekml c nolotm fi sui

gipigofifm tiekmegoin, giusiefc rctiëýms sø`otis m fm kriefms folmesýms.

gipigofifm tiekmegoin, giusiefc rctiëýms sø`otis m fm kriefms folmesýms.

ACEVM8 Ipcstoni „Auefiëýms Formtis“, ]eovmrsofifm Amfmrin fc ACEVM8 Ipcstoni „Auefiëýms Formtis“, ]eovmrsofifm Amfmrin fc GmiréGmiré

(30)

Hé i rupturi pcr Tuegoceilmetc cgcrrm piri scncs lios fmacrlévmos, qum

Hé i rupturi pcr Tuegoceilmetc cgcrrm piri scncs lios fmacrlévmos, qum

pmrlotml liocrms rmginqums, cu piri auefiëýms risis gcl liocr

pmrlotml liocrms rmginqums, cu piri auefiëýms risis gcl liocr

ml`utolmetc, tcreiefc i supmraìgom tiekmegoin fi gueji fm scnc liocr m,

ml`utolmetc, tcreiefc i supmraìgom tiekmegoin fi gueji fm scnc liocr m,

pcrtietc, gcl liocr gipigofifm. Emssm gisc, c mnmlmetc fm auefiëçc

pcrtietc, gcl liocr gipigofifm. Emssm gisc, c mnmlmetc fm auefiëçc

„iauefi“ su`otilmetm, fmvofc

„iauefi“ su`otilmetm, fmvofc

ä gclprmssçc mxgmssovi fis pirtìgunis fm scnc

ä gclprmssçc mxgmssovi fis pirtìgunis fm scnc

i`ioxc fi auefiëçc risi. Mssi rupturi eçc giusi rctiëýms, smefc lmecs

i`ioxc fi auefiëçc risi. Mssi rupturi eçc giusi rctiëýms, smefc lmecs

fmvistifcri qum i rupturi Kmrin.

fmvistifcri qum i rupturi Kmrin.

ACEVM8 Goetri

(31)

WOL]NIFC 47

WOL]NIFC 47

 ‗  ‗ 

 Y]MWVÇC 94

 Y]MWVÇC 94

Fmsmhi-sm gclpigtir ul itmrrc gcl

Fmsmhi-sm gclpigtir ul itmrrc gcl

944.444 ·

944.444 ·

. C Kriu fm Gclpigtiëçc fmsmhifc ï. C Kriu fm Gclpigtiëçc fmsmhifc ï fm

fm

?1%

?1%

 m c tmcr fm ulofifm fmsmhifc ï fm m c tmcr fm ulofifm fmsmhifc ï fm

0%0%

 i`ioxc fi ulofifm ÷toli. i`ioxc fi ulofifm ÷toli.

Tiri uli ilcstri fm scnc gcnmtifi ei hizofi fospceìvmn, cs vincrms fc mesioc fm Tiri uli ilcstri fm scnc gcnmtifi ei hizofi fospceìvmn, cs vincrms fc mesioc fm gclpigtiëçc c`tofcs acril cs

gclpigtiëçc c`tofcs acril cs smkuoetms8smkuoetms8

w%

w%

94,694,6 90,190,1 96,=96,= 91,091,0 9;,;9;,;

ω

ωss

 (k/gl·)

 (k/gl·)

9,11 9,11 9,;9 9,;9 9,;6 9,;6 9,;0 9,;0 9,119,11

Tiri i lmsli hizofi, acril fmtmrloeifcs cs piràlmtrcs eiturios fm ìefogm fm vizocs Tiri i lmsli hizofi, acril fmtmrloeifcs cs piràlmtrcs eiturios fm ìefogm fm vizocs

( < 9,4:)

( < 9,4:)

 m tmcr fm ulofifm eiturin m tmcr fm ulofifm eiturin

(:%)

(:%)

.. I pirtor fcs

I pirtor fcs fifcs acremgofcs, fmtmrloem8fifcs acremgofcs, fmtmrloem8 i)

i) I lissi mspmgìaogi smgi léxoli m c I lissi mspmgìaogi smgi léxoli m c tmcr fm ulofifm ÷tolc fmstm scnc (7 pcetcs)tmcr fm ulofifm ÷tolc fmstm scnc (7 pcetcs) `)

`) C vcnulm fm tmrri i smr msgivifc fi hizofi piri i gcestruëçc fc itmrrc (7C vcnulm fm tmrri i smr msgivifc fi hizofi piri i gcestruëçc fc itmrrc (7 pcetcs)

pcetcs) g)

g) C vcnulm fm C vcnulm fm ékui i smr ifogoceifc ec itmrrc piri ékui i smr ifogoceifc ec itmrrc piri itoekor i ulofifm fmsmhifi (0itoekor i ulofifm fmsmhifi (0 pcetcs) pcetcs) Fifc8 Fifc8



÷

÷

< < 0;,0;,4 4 /·

/·

PMWCN]ËÇC8

PMWCN]ËÇC8

i)

i)

Tcfm-sm gcestruor i gurvi fm gclpigtiëçc

Tcfm-sm gcestruor i gurvi fm gclpigtiëçc

((



ÛÛ))

  iutclitogilmetm

  iutclitogilmetm

itrivïs fcs fifcs acremgofcs8

itrivïs fcs fifcs acremgofcs8





9,;1 9,;1 9,;6 9,;6 9,;0 9,;0 9,;4 9,;4 9,1: 9,1: 9,11 9,11 9,16 9,16 94 94 90 90 96 96 9191 9:9:





é

é

≍, 

≍, 

⁆⁆





÷÷

<<,,  %%

(32)

`)

`)

]li vmz qum c KG fmsmhifc ï fm

]li vmz qum c KG fmsmhifc ï fm

?1 %

?1 %

,,







<9,;60∟4,?1≍

<9,;60∟4,?1≍

99,,11; ;  

⁆⁆



..

C tmcr fm ulofifm fmsmhifc ï fm

C tmcr fm ulofifm fmsmhifc ï fm

9966,,::∐∐00<<9900,,: : %%

..

Tiri

Tiri





<<00; ;  

⁆⁆



, tml-sm ec itmrrc8

, tml-sm ec itmrrc8





<<  









<,∟<, 

<,∟<, 

⁆⁆ <<













<,∟

<,∟



  

Tiri

Tiri

<,<

<,<













<<  





< 

< 

Nckc,

Nckc,





<<



,

, <<,,  







<<



,

, <<,,  



Fi hizofi eiturin, piri c`tmr

Fi hizofi eiturin, piri c`tmr





<<=7=7?7?76,6,: : 



, prmgosilcs fm8

, prmgosilcs fm8

<,<

<,<





Referências

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