fl i lorfu:1.ff'ä*t;' u e **,.1 l.€¦ · fgpr'e l az\ iettt auch vo,a kol, s =...
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![Page 1: fl I lorfu:1.ff'ä*T;' u e **,.1 L.€¦ · fgpr'e L az\ iettt Auch vo,a kol, S = 2plfual s{ qe( prab levn r He I § ?rl' ie{sl:.F-ohne Uq letchungs nebenbed, 1 d,h, mr=o t fr,t=rre](https://reader033.vdocuments.site/reader033/viewer/2022052018/60319bddacaedb280c42fa78/html5/thumbnails/1.jpg)
0ic
Op{frrolsb,.er ble,r. r Hri
der POE agibt *hl{csslrh
da. lrfqrn& u^cutdlirhernerll'aaale ras{rirr6 tetk OP :
rn{n tr1*e^-Iusdr+ ä[rW§e Y.fftnlr uell=L#t)
i,t. lA(x) Yycxl ,Vvu) dr = §yol w)cr Vveffin|
!.-<$g5'rrrd ü-3t)gd in
c Y = frnts.1 _tr
'LFE-O[ (.te4[s fer .Ka
c [i= LzCI)
5L
Y;' §pan |.{r,t,,,r YrrS
tlr=sf*&.t.-f Qr.l2'B
ünr..-,{LY1,aUr.CI)= fiU il;c-r)
[ria ute)= ä ur\o)
v gctieY=f$nl
M ttcr) eTi=LzA)
u e fl & u ]tu'u)'= I lo"rfu:1".ff'ä*T;"'**,.1 L"..6 =i[r"r,-if"-Xl vfi[,uär
V - tt--trr,,l \7--.-r\- 1 rSDfs.t. | - etv ( Ak) Q,*r) = ucr) , xä fulcorstauk
t gth, =to)ä^O r ,re fl="t J
$.of, lsfale cans{rorh{s , ifl; <§Gr,.ää; tr€o IÜßttqdc [- Co"tral coru{rair{r ] .. cr) ( ucr) 3 E crl, xefr.)
\'/tichu&|,
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2
n'
erg ib+ das
t14H§&
rvg*Fi aetiecle 0P:
r u's uu=[rl)o=rn
(KfiHr yr ) =ln Vtr.Vvsdx VL*J'.ü q.,y,.etr
( F'1, !r, .trh) = .Lr.r.tvau)dx - r( -
( Hc Bnr in) = [ \alqod,, V ,r,*, <+ ur,!^ntl*
( Mr. Bh, !r) = § rn !,, dx Vupltuefi,vy*g*e[*
(grr,$n) =§fuo,1$h&)dr #y,,* Jre ,Pns
tr§s*.ä .fh'= [U;Ji=rG's
(§-,.§ a{
PS§§.ss
a- -lL.I-
,! -$r§1U
ü*LLg
.g^4,
-!l5
§§Ds§§.u-tUsU
§
u),' o?
,r.?;lr.ri. if,rfar - lue tnd '
*7'§ uf dr
s,t. lAß) [yrtr)'Vht*)d, * J u,;,ltrlut dv V vre Y,
!g :* lcr;) § Ui- !r$J) s f;'' $<rt), t = 6ft :=U Cr;) < ui:=t{r(rd}(A:=Ccri), 1'=ffi
t [(*r 16,!6) -(En,!r) *f ( M.s", %)JX-(lr,rhtre 6f=ß+4.
c{ (§) : (Krr 16;+); =e, i= ffiU-iiä1 ,3trt,fff'*,*l - üs3 O J Dl= 2fts4 Zrre-
..IigY;<[;i3@t(ü § ti!-sirri=T,no
s.t. K !*= Msc g6
,r(s)cr)=Orxenn
,s.t . ci
min[=4a21..,1M11
I
c;Ctt) § O r 1 = 7ta+41. . ,l Vtnl {tl1.
![Page 3: fl I lorfu:1.ff'ä*T;' u e **,.1 L.€¦ · fgpr'e L az\ iettt Auch vo,a kol, S = 2plfual s{ qe( prab levn r He I § ?rl' ie{sl:.F-ohne Uq letchungs nebenbed, 1 d,h, mr=o t fr,t=rre](https://reader033.vdocuments.site/reader033/viewer/2022052018/60319bddacaedb280c42fa78/html5/thumbnails/3.jpg)
fgpr'e L az\ iettt Auch vo,a kol, S
= 2plfual s{ €qe( prab levn r He I § ?rl'ie{sl:.F- ohne Uq letchungs nebenbed, 1 d,h, mr=o t fr,t=rre Z
r = tl,Xr6 ßn=ns+ n,Wx' Y't) - ::'CqW"'47
=: tlx)s.L ,KJ.-[Yo g=0 qA) := [K!- f{at]; = O
(,s4,2r-..1fr4 = fn=?§
o CQ = Constrainl Auoh'(icalion,ranl G,(x.) = ?an1t HJom = rorJtK,MJ=r=trs
ßlxos
c ann gi(lt ! =+ K-4Mscq = Qg. nr'l S;= +K-tl"l* ,
l,h. ( / )rop is* dryivalenl ?eu f rcien op
(4)ro,'rnfnLeß'rc
-
min
li(us ss.r,sr.s.)-(ft,$r)+;u,,,r[
g e 6tre ä(rslurs,.r#M. s,s)-(&,0)
g e lRn"l (sIM. S..r 414.) g = sJ ra
(uJ 4-1',M. K 4l'1rr+ 4%)s =*mJK'r,
'$!geßn feltr 4>o
(4).q,
fr,s0
rea,
3
![Page 4: fl I lorfu:1.ff'ä*T;' u e **,.1 L.€¦ · fgpr'e L az\ iettt Auch vo,a kol, S = 2plfual s{ qe( prab levn r He I § ?rl' ie{sl:.F-ohne Uq letchungs nebenbed, 1 d,h, mr=o t fr,t=rre](https://reader033.vdocuments.site/reader033/viewer/2022052018/60319bddacaedb280c42fa78/html5/thumbnails/4.jpg)
Lorrante-Funfiton: m-ns r X= ([,g) € lfl,n=no*q
f,= ()rq,...,,t. ) = LaXcony Mqlt;pli(atorcn = adjottl shlc
L(r, l) = fcx) + Arccr) =ftr)*f Li.;t0es{
= Lr( Msr,t)-(!r,!)+/(t't a,g)* [trg-Hns)
o KKT'-S8etern, V L(x*,trt) =O
VI L(-U,rrÄ)=0Vu L (f ,8,f,)=07,rL(I,t,A)=Q
MsL *xIq Hcs - t4|l.
= J.l
=Q=QK1 - lfsc g,
h)sr
a
M§O6r0 aYc -Mr.K, -Ms6 O
@\11d.;r:'r
lul=&j
grl0l0)
K!{f -$*ln brn = }p[tlnal,h]o sgekn (rol,r,srl- 00ilt1)
^.(,tl* 2,
.'.
t"ts=lY.T > O, J,[.,§p0 &,arhrlt'los.rawefii(
f,lc. M.tr2 Ot d,h, tP0 Ko^fn(lh4witxrhlr
M., . Mr: - ( n. x il§ ) - Hafuir
gffi(!,g), a ) e ntt5ilts'nt, (a)*n idg,-rtal !x3=(t,s) fsl efaJe*{iücr Nhpaakt tce fc*),J. h, (4 )rop ha* erh e einlei,r{ly Lösung ,
dre r,ni{ lttl[c voa t4) wfi ber."hrul uirl*
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5 o Sc hur-Konple wtettl bi Eun{ Redur,rzr,le 0p},haf;friftsgs{a w
@ Elr'rrd nieren X- nnd L qus (4 ) vff :
4. Ä E- 6-4 Msg + 6-4!e UGKT )8. & = f K'r Mscu = Sr.g tnnit So=+ K-4Mro
hal rn d;e 2. GletchunT erhSe{xn:
4t4ce -M;: ?K4&r * 14^4il) = O
d fl"L + MI X'M. u l Mf K'' 9t
or H6 r + Mr[ y-r Hr K^a P1s"L ?- 11{ K-'!,
(a)got
@q
( n'f K- '' M4 14^4M..+orM") us MrIKi
@ §f; rninieren
a) eut g. 4trs Ut)a«r m,[ der 2, Gle;chun&
!= *|4;n UII ---ä s.
:[ V lir,,Mr]l tl=[ä]ß) Md dann s dtß @q nil der 4,G[acbr1
! =-M;4 K'^+ M.-t!i -
g,
(rc M;r Kr* * l,l""14/ M,l )Ä = KMf re@q
= redu+iellq }pttnaLJ{eTgs3elau" bau , red, Kl(T^*{lü,
ff)