Informe Estabilidad Jury
July 20, 2023 | Author: Anonymous | Category: N/A
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FBXKPVKGBMVI FB BMBPJÇK _ GBEËMOEK EKPPBPK FB OMJBMOBPÇK GBEKVPÕMOEK OMCIPGB EIMVPIA FOJOVKA VBGK> KMËAOUOU FB BUVK@OAOFKF FB UOUVBGKU FOUEPBVIU GBFOKMVB NRP_
OMVBJPKMVBU> LBSOM NIBA KMFPKFB @KPPOIMRBSI KABTKMFBP NKSOBP ERPK_ GRAAI @BPVDK KAOEOK GKUK@KMFK JRKMIAROUK FKMOBA MKVKMKBA UIAÇU NKEIGB
MOSBA> UÏXVOGI ‑082:‗
FIEBMVB> OMJ. CK@POEOI XBP^
AKVKERMJK BMBPI, 080;
OMFOEB ;.
VBGK>..... VBGK>............. ............... .............. .............. .............. ............... ............... .............. .............. .............. ............... ............... .............. .............. ............... ............... .................5 ..........5
0.
I@NBVOSIU. I@NBVOSIU........ .............. .............. .............. ............... ............... .............. .............. .............. ............... ............... .............. .............. .............. ............... .......................5 ...............5
0.; I`nbtovi promeopka.............................................................................................................5 0.0 I`nbtovis bspbeçcoeis.........................................................................................................5 5.
FBUKPPIAAI FBUKPPIAAI FBA VBGK.......... VBGK................. .............. .............. .............. ............... ............... .............. .............. .............. ............... ............... .....................5 ..............5
5.; KMËAOUOU FB BUVK@OAOFKF FB UOUVBGKU FOUEPBVI......................................5 5.0 XPRB@K FB BUVK@OAOFKF FB NRP_ .......................................................................2 5.5
BNBPEOEOIU.............................................................................................................3
5.5 XPRB@K FB BUVK@OAOFKF FB NRP_ EÕFOJI GKVAK@ _ E++ .....................;; 6.
@O@AOIJPK @O@AOIJPKCÇK..... CÇK............ ............... ............... .............. .............. .............. ............... ............... .............. .............. .............. ............... ............... ................... ..................;2 ......;2
;. VBGK> Kmëaosos fb bstk`oaofkf fb sostbgks foserbtis gbfokmtb Nury.
;. I@NBVOSIU 0.; I`nbtovi promeopka Kmkaozkr ak bstk`oaofkf fb sostbgks foserbtis gbfokmtb Nury.
0.0 I`nbtovis bspbeçcoeis
Omvbstojkr ais cumfkgbmtis tbõroeis pkrk ba kmëaosos fb bstk`oaofkf fb sostbgks foserbtis gbfokmtb Nury.
Fbskrriaakr bnbreoeois qub eugpakm eim ba kmëaosos fb bstk`oaofkf fb sostbgks foserbtis gbfokmtb Nury.
0. FB FBUK UKPP PPIA IAAI AI FB FBA A VB VBGK GK 5.; KMËAOUOU FB BUVK@OAOFKF FB UOUVBGKU FOUEPBVI Xkrk ba sostbgk fb eimtria bm tobgpi foserbti qub sb gubstrk bm ak cojurk ;, ak cumeoõm fb trkmscbrbmeok fb puasi bm akzi ebrrkfi bstë fkfk pir> J ( z ) E ( ( zz ) (; ) 7 J ( z ) 7 w P ( z ) ; + JD ( ^ )
Cojurk ;. Uostbgk fb Eimtria Foserbti
Ak bstk`oaofkf fba sostbgk foserbti fbcomofi pir ak beukeoõm ; sb pubfb fbtbrgomkr gbfokmtb ak u`oekeoõm fb ais piais fb akzi ebrrkfi bm ba pakmi, bs fbeor, pir aks rkçebs fb ak beukeoõm ekrketbrçstoek\ EOVKVOIM Nis0; Qa 5840 W > [ ( z ) 7; + JD ( ^ ) 78 ( 0 )
Bm ak sojuobmtb cirgk> Ba sostbgk bs bstk`ab so tifis sus piais fb akzi ebrrkfi, bs fbeor, so tifks aks rkçebs fb su beukeoõm ekrketbrçstoek bstëm u`oekfks fbmtri fba eçreuai umotkroi fba pakmi z . Eukaquobr piai fb akzi ebrrkfi aiekaozkfi cubrk fba eçreuai umotkroi jbmbrk um sostbgk ombstk`ab.
Rm piai sogpab aiekaozkfi si`rb ba eoreuai umotkroi ( z 7; ) , dkeb qub ba sostbgk sbk erçtoekgbmtb bstk`ab, ojuka eisk suebfb so bxostb um siai pkr fb piais eigpa eigpabni bniss eim eimnuj nujkfi kfiss u`oek u`oekfis fis si` si`rb rb ba eçreua eçreuaii umotkr umotkroi. oi. Eukaqu Eukaquobr obr piai piai gþatopab u`oekfi si`rb ba eçreuai umotkroi dkeb qub ba sostbgk sbk ombstk`ab.
Ais ebris fb akzi ebrrkfi mi kcbetkm ak bstk`oaofkf fba sostbgk y, pir ai tkmti, pubfbm bstkr bstkr aiekaozkfis bm eukaquobr pkrtb fb fbaa pakmi z .
Ak bstk`oaofkf k`siautk fb um sostbgk foserbti sb pubfb fbtbrgomkr pir focbrbmtbs gïtifis kpaoek`abs k ak beukeoõm ekrketbrçstoek fba sostbgk som mbebsofkf fb bmeimtrkr sus rkçebs. Fis fb bstis gïtifis sim ak prub`k fb bstk`oaofkf fb Nury y ba erotbroi fb bstk`oaofkf fb Piutd, `kskfi bm ak trkmscirgkeoõm `oaombka\ EOVKVOIM Bst0; Qa 5840 W . Ak cojurk 0 rbprbsbmtk aks rbjoimbs fb bstk`oaofkf y fb ombstk`oaofkf fb um sostbgk foserbti tigkmfi eigi rbcbrbmeok ak u`oekeoõm fb sus piais eim rbspbeti ka eçreuai umotkroi.
Cojurk 0. Ba eçreuai umotkroi y ak bstk`oaofkf fb sostbgks foserbti foserbtiss
5.0 XPRB@K FB BUVK@OAOFKF FB NRP_ Ba erotbroi fb bstk`oaofkf fb Nury pripimb qub um sostbgk bs bstk`ab so ba piaomigoi fba fbmigomkfir fb ak cum cumeoõm fb trkmscbrbmeok eugpab eim
aks sojuobmtbs
eimfoeoimbs\ EOVKVOIM Ijk?3 Qa 5840 W > )7 8, fb fb`b `b ti tigk gkrr ak akss so soju juob obmt mtbs bs Rm sost sostbg bgkk eim eim ak beuk beukeo eoõm õm ekrk ekrket etbr brçs çsto toek ek X ( ^ )7 eimfoeoimbs> m∐ ;
X ( z ) 7k8 ^ + k ; ^ m
+ … + km∐ ^ + k¹ m ;
Fimfb k k = 8, bs bstk`ab, so tifks aks eimfoeoimbs sojuobmtbs sb sktosckebm 8
;. |k m|1 k 0. X ( ^ )∤¹ ^ 7 = 8 ¹ 8
;
¹ 8 pkrkm pkr ^ 7 ; ¹ 8 pkrkmogpkr
5. X ( ^ )∤¹ 6. |` m∐ |=|` | |e m∐ |=|e | . . . |q |=|q | ;
8
;
8
0
¹
8
Xkrk eigpri`kr ak eukrtk eimfoeoõm sb fb`b uskr ak sojuobmtb tk`ak> 8
;
^
; 0 5 6 2 3 0m-2 0m-6 0m-5
km k8 ` m∐ ; `8 e m∐ 0 e8 p5 p8 q0
0
^
k m∐; k; ` m∐0 `; e m∐ 5 e; p0 p; q;
5
m∐0
^
^
^
k m∐ 0 k0 ` m∐ 5 `0 e m∐ 5 e; p; p0 q8
k m∐ 5 k5 ` m∐ 6 `5 e m∐ 2 e5 p8 p5
k0 k m∐ 0 `; ` m∐ 0 e8 e m∐ 0
m∐;
m
^
k; k m∐ ; `8 ` m∐ ;
^
Fb bstk gkmbrk krgkgis ak gktroz y bmeimtrkgis ais vkairbs fb `, e, …, p>
k8 km
Mitk> Ba sostbgk fb`b eugpaor eim VIFKU aks eimfoeoimbs fb gkmbrk sbeubmeoka yk qub so mi eugpab kajumk fb baaks ba sostbgk fbnk fb sbr bstk`ab.
5.5 BNBP BNBPEOEO EOEOIU IU 5.5.; 5.5 .; Fbt Fbtbr brgom gomkr kr ak bstk`o bstk`oaof aofkf kf fb fbaa soju sojuobm obmtb tb piaomi piaomigoi goi
X ( z ) 7 z
6
5
0
∐;.0 z + 8.: z + 8.5 z ∐8.84
k 87 ; k ;7∐;.0 k 078.8: k 578.5 k 67∐ 8.84
Sbrocoekeoõm fb Eimfoeoimbs
;. |k m|1 k
8
|∐8.84|1 ; ∶ Uoeugpab 0. X ( z ) | z7 = 8 ;
6
X ( ; )7;
5
0
∐;.0 ( ; ) + 8.: ( ; ) + 8.5 ( ; )∐8.84 X ( ; )78.:0 = 8 ∶ Uo eugpab eugpab
X ( z ) |
5.
;
z 7∐
pkrkm rkm pk pkrr ¹ 8 pk ¹ 8 pkrkmogpkr
{
}
6
X ( ; ) 7(∐;)
5
0
∐;.0 (∐ ; ) + 8.: (∐; ) + 8.5 (∐;)∐ 8.84
X ( ; ) 70.20 = 8
|` m∐ |=|` | ;
8
=e
e m∐ 0
6. |
8
|| | |q |=|q | ⋭
0
8
Xkrk bstï pumti sb rbkaozk ak tk`ak fb Nury z
; 0 5 6 2 3
\ 7\∐
` 87
`;
` 07
`5
;
-8.84 8.5 ; -;.0 ∐8.??53 ;.;:3 ∐8.086 ∐8.8:23 8.?63 -;.;454 8.5;2 -;.;454
8.84
8.: 8.: .
;
W7
8.8823
∐8.84 ∐;.0 7;.;:3 ;
8.5
8.84 ;
;
W7∐ W
∐8.4
8.??53
W 7∐ W7∐
8.??53 8.086
∐ 8.8:23 ;.;:3
W
;.;454
∐8.??53 ∐ 8.086 7 8.?63 ∐8.086 ∐8.??53
0
z
8.8: 8.8: ∐8.8:23 ;.;:3
8.5;2 8.?63
∐ 8.8:7∐ 8.8:23
∐8.??53 ;.;:3 7 8.5;2 ∐8.086 ∐8.8:23
\
z
W
\ 7\ ∐ ∐
e 07
z
∐8.84 8.5 78.8?3∐ 8.57∐8.086 ; ∐ ;.0
\7 ∐ \
e 87
e;
8
5
-;.0 8.5 ∐8.086 ∐8.??53
z
6
; -8.84
Vifks aks rkçebs fba piaomigoi sb bmeubmtrkm fbmtri fba eoreuai umotkroi, bs fbeor qub ba sostbgk bs bstk`ab.
5.5.0 5.5 .0 Fbt Fbtbr brgom gomkr kr ak bstk`o bstk`oaof aofkf kf fb fbaa soju sojuobm obmtb tb piaomi piaomigoi goi X ( z ) 7 z 3∐0.3;60 z 2 + 0.:3:; z 6∐8.??? z 5∐8.6565 z 0+ 8.6;50 z ∐ 8.8478
{
k 87 ;
k ;7∐0.3;60 k 070.:3:; k5 7∐8.??? k6 7∐8.6565 k2 78.6;50 k3 7∐8.84
Sbrocoekeoõm fb Eimfoeoimbs
;. |k |1k m
8.84
8
1 ; ∶ Uo eug eugpab pab
0. X ( z )|
z 7 ;
=8
X ( ; )7;∐ 0.3;60 + 0.:3:;∐ 8.???∐8.6565 + 8.6;50∐8.84 = 8 8.8204
eugpab pab = 8 ∶ Uo eug
5. X ( z)|
z 7∐;
X (∐; ) 7(∐; )
3
{
pkrkm m pkr ¹ 8 pkrk pkrkm m ogpkr ¹ 8 pkrk 2
6
5
pkr krk k m pk pkrr ¹ 8 p
X (∐; ) 7; + 0.3;60 + 0.:3:; + 8.???∐ 8.6565∐ 8.6;50 ∐8.84 = 8 3.6204
0
∐ 0.3;60 (∐; ) + 0.:3:; (∐; ) ∐ 8.??? (∐; ) ∐ 8.6565 (∐; ) + 8.6;50 (∐; )∐8.84
eugpab pab = 8 ∶ Uo eug
|` m∐ |=|` | |e m∐ |=|e | ;
8
0
8
. . .
6.
|q |=|q | 8
0
Gbfokmtb ak bak`irkeoõm fb ak tk`ak fb Nury
X ( z ) 7 z
3
2
z
8
z
z
0
z
5
-8.6565 0.:3:; -0.:506 ;.8:4? 0.?52 0.?52
-8.??? -8.??? ;.8:4? -0.:506 -;.30?6 -0.20;0
:4 ?
8-8.:.:?663?3 8.8:62
;-;.4.42:;; -8.84?
-;;.4.42:;; 8.8:62
8-8.:.:?663?3
Ekaeuai ais vkairbs pkrk ` >
|
∐8.84 .84 8.6; .6;50 78.08?;∐8.6;507∐ 8.086 ; ∐0.3;60
|
∐8.84 ∐ 8.6565 7∐8.00;6 + 8.65657 8.0;0?
|∐
` 07
;
0.:3:;
|
∐8.??? 78.8:?? +8.??? 7;.8:4? ∐8.???
8.84 ;
|
|
∐8. 8.84 84 0.:3:; 78.856: ∐0.:3:;7∐0.:506 ; ∐ 8.6565
|∐
` 67
|
` 27
;
8.6;50 -0.3;60 0.24;; 8.0;0? -0.20;0 -;.30?6
|
` 57
0
-8.84 ; -8.??53 -8.086 8.?623 8.5;2
|
` ;7
5
; 0 5 6 2 3
` 87
6
∐0.3;60 z + 0.:3:; z ∐8.??? z ∐8.6565 z + 8.6;50 z ∐ 8.8478
8.84 ;
|
∐ 0.3;60 7∐8.855; + 0.3;607 0.24;; 8.6;50
|
∐8.84 ; 78.8836 ∐;7∐ 8.??53 ; ∐ 8.84
z
6
0.:3:; -8.6565 8.0;0? 0.24;; 8.5;2 8.?623
z
2
-0.3;60 8.6;50 -8.086 -8.??53
z
3
; -8.84
Ekaeuai ais vkairbs pkrk e >
|
∐8.??5 8.??53 3 ∐8. 8.08 086 6
e 87
|∐∐
8.??53
e ;7
8.086
|7∐
0. 0.24 24; ;;
|
∐ 0.:506 7∐;.8:;??2 ∐8.22:6 7∐;.30?6 ;.8:4?
|
|
|∐∐
e 57
|7∐
8.?? 8.??53 53
8. 8.0; 0;0? 0?
8. 8.08 086 6
0. 0.2 24; 4;; ;
Ekaeuai ais vkairbs pkrk f >
|
8.?623
|
f ;7
8.5;2
|
∐0.20;0 7∐;.2684 + 8.:?607∐ 8.:633 ∐;.30?6
|7
8. 8.?6 ?623 23
0. 0.?5 ?52 2
8.5 8.5;2
0. 0.? ?52
| 7|
f 07
+ 8.86567∐ 0.20;0
∐8.??53 ∐8.086 78.?4:0∐ 8.86;37 8.?623 ∐8.086 ∐ 8.??53
f 87
0.23624
|
|
e67
8.?623 8.5;2
0.::25
∐8.?0627;.42;
|
∐;.30?6 7∐ 0.546 + 8.2;55 7∐;.4:; ∐0.20;0
|7∐
8. 8.?6 ?623 23
8. 8.5; 5;2 2
8. 8.5 5;2
8. 8.?6 ?623 23
8.4?60
∐8.8?? 78.:?6?
Ekaeuai ais vkairbs pkrk b >
|∐
b 87
+ 8.2032 78.5;2
∐8. 8.?? ??53 53 ;. ;.8: 8:4? 4? 70.:;6? + 8.008;70.?52 ∐ 8.086 ∐ 0.:506
e 07
f5
8.0;;2
8. 8.0; 0;0? 0?
8.:?6? 8.:63 .:633 3
|
∐;.4:; 7;.6:;6 ∐;.5?3?78.8:62 ;.42; .42;
|∐
b ;7
8.:?6?
|∐
b 07
8.:633
8.:?6? 8. 8.:6 :633 33
;.42;
|7∐
;.6:;6
∐;.4:;
+;.540 7∐8.84?
|
∐ 8.:633 7 8.350∐ 8.22:6 78.8:62 8. 8.:? :?6? 6?
Vifks aks rkçebs fba piaomigoi sb bmeubmtrkm fbmtri fba eoreuai umotkroi, bs fbeor qub ba sostbgk bs bstk`ab.
5.5 XPRB@K FB BUVK@OAOFKF FB NRP_ EÕFOJI GKVAK@ _ E++
Cojurk 5. Fbskrriaai fba prijrkgk bm Gktak`
Cojurk 6. Eigpoakeoõm fba prijrkgk bm Gktak`
EIFOJI E++
#omeaufb 1oistrbkg= #omeaufb 1egktd= #omeaufb 1oigkmop= #omeaufb 1sstrbkg= #omeaufb 1stromj= usomj mkgbspkeb stf< fiu`ab piaomigoi(fiu`ab z, fiu`ab * k, fiu`ab m){ fiu`ab sugk 7 8< cir (omt o 7 8< o17 m< o++){ sugk +7 k\oW*piw(z,m-o)< }rbturm sugk< } omt gkom(omt krje, edkr **krjv) { oc (krje 1 6){ eiut 11 "Rsi fba prijrkgk> eifb k8 k; k0 k5 ..."11bmfa< rbturm 8< } omt m 7 krje-0< fiu`ab * k 7 mbw fiu`ab\m+;W< // 8 dkstk m omt o 7 ;< wdoab(o 17 krje-;){ k\o-;W 7 stif(stromj(krjv\oW))< o++< }
istromjstrbkg istr< /*fiu`ab k\W 7 {;,-;.0,8.8:,8.5,-8.84}< omt m 7 6 \UOW" \ UOW" 11bmfa< } basb{ istr 11 " , |`(m-;)|7"11k`s(`\m-; |`(m-;)|7"11k`s(`\m-;W) W) 11 " = "11k`s(`\8W)11 "11k`s(`\8W)11"7|`(8)| "7|`(8)| > \MIW" \ MIW" 11bmfa< } cir(omt o 7 8< o 17 m-;< o++){ k\oW 7 `\oW< } m--< fbabtb \W `< } eiut11 bmfa< eiut 11 istr.str() 11 bmfa< fbabtb \W k< rbturm 8< }
Cojurk 2. Eigpoakeoõm fba prijrkgk bm E++ Aoml pkrk pkrk eig eigpoakr poakr E++ iimaomb maomb dttps>//www.imaombjf`.eig/cirl/Dl6```wtv
5. @O@A @AOOIJ IJPK PKC CÇK \;W N. Aaktk, «umoekm.bs,¼ \Bm \Bm açmbkW. Kvkoak`ab> dps>//iew.umoekm.bs/paujomcab.pdp/:35/eiursb/sbeim/4;6/bnbreoeoisY3.pf. dps>//iew.umoekm.bs/paujomcab.pdp/:35/eiursb/sb eim/4;6/bnbreoeoisY3.pf. \Þagi keebsi> 08 Bmbri 080;W. \0W Bstk`oaofkf, «RMAX,¼ \Bm \Bm açmbkW. Kvkoak`ab> dps>//ektbfrk.omj.umap.bfu.kr/babetritbemok/eimtriag/babetroeostk/kredovis/kpumtbs/ekp6 .pf. \Þagi keebsi> 08 Bmbri 080;W. \5W L. Ijktk, Uostbgk fb eimtria bm Vobgpi Vobgpi Foserbti, Gïxoei> X XPBMVOEB PBMVOEB DKAA DOUXKMIKGBPOEKMK U.K., ;??3.
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