7
-> ! ---) 1r 1f:1f-v <-T-- / &r- o hatn ?2s>-'qVPt-' /) l'/ t/\ 1,1-2 &. {F=C), a', {?'- G",), -.> 7)- = _-> | "7)- : t- -o -+ f-v r-J - dr/ --9 d. ! J ts | -', ?r- v d.r t --> 7-\rt 2";t * *bf a-64o4'Y- t?';-* -V: Cn,*1t'_ . Qor"9uu49/#"u c'-e( _ (-/ SykrJhr-,.-o\ K'-*k! _>l f- (CoLtLE, -7..*/ ,'*+-) 12-o-uY-J4 PAtf Etv --> v --> F: -tn1r 2 P:* +t 1> ED E (f='S + ?f" '-t 2- i7.: -e- -* E. L- 2*t *rt Z E': + +Eo 2m _t, ^ ut(jat / ;*z P- -- rE1- zyvl + !7. '/'l- 1 ELEh Etv TE obr ReL+rtv r &TtscnEtl krcn*/UtK ( - 9 "nvfr"- RZ-+v," (o' le'//,^omnv - ) C /4. ./ &uk u,-d * rr n-\ der ar;-,4t>e/alh'nJ>lt"/n< (*rr"r rou - L+reBatuee- &*brtmn;/ke&a"i/t k) Es p&* a\e-- A&{otufe *rr t, , ot-z*, Lu*"*U A 1)*,4 fu :^ kaz^,tb/^e-, Gru c/* t** fr44'4 fr'n'1i a^6aL#. v i-( L b) Ee hAf ! '.*et- (dono^ U^ kS$oLt,Et 14144 2 We-ad&-f ohrc4 dp,L, 3 - d-U e-u-'t,bu*,(g^ E u l< L l5 ^f,c H Etw F4u*, R=. (--\ . Ab{{a"-/ *.r<'e-- H-*l'* : --, f:, .) =_l*.\ n= L!.I,T l; I - -tL./ lzz) 1!= lt-Lt = / (*,+f* 0,-y)1 &,-=,)' . T-st K e,\, TP=RT:4LS?STE&- 2 d'4' uh S<*Os-,J /Qt^ ) -D de*' +;tA e4v C/";/frh') - /\/ 1i>"t*-,-ryA-ade\Y u"4 fu*fu/ 4*, oud K"aV 8QY949r4b*, dat 4,t/ rcAYV ! *t' J<u.-,] E *+"^& C-*4ava'7/<;7- A*t &o h/ aA.4 \.}('a\ Tt'te-r<rt,+/'??JTEJY-

F = C ), a', {?'-G ,), - Technische Universität München · PDF file{F = C ), a', {?'-G ",),-.> 7)- = _-> | "7)- : t--o f-v-+ ... --V "tLfryer< dT " trtpo'- 'u-d " ... 2 z't- y-ft*"+

Embed Size (px)

Citation preview

Page 1: F = C ), a', {?'-G ,), - Technische Universität München · PDF file{F = C ), a', {?'-G ",),-.> 7)- = _-> | "7)- : t--o f-v-+ ... --V "tLfryer< dT " trtpo'- 'u-d " ... 2 z't- y-ft*"+

-> ! - - - ) 1 r1f :1f -v

<-T-- / &r-o hatn ?2s>-'qVPt-'

/ )l ' /t / \

1,1-2

&. {F=C),

a', {?'- G",),

-.>

7)- =

_-> |

"7)- :

t -- o

-+

f-v

r-J -

d r /- - 9

d.! J

ts | - ' ,

?r- vd.r t

-->

7-\rt

2";t **bf a-64o4'Y-

t?';-*

-V: Cn,*1t'_

. Qor"9uu49/#"u c'-e(

_ (-/

SykrJhr-,.-o\ K'-*k!

_> l

f -

(CoLtLE, -7..*/ ,'*+-)

12-o-u Y-J4 PAtf Etv

--> v -->

F: - tn1r 2 P:*

+t1> ED

E (f='S

+ ?f"

'-t 2-

i7.: -e- -* E.L- 2*t

*rt Z

E': + +Eo2m

_ t ,^ ut(jat

/

;*zP -

- - rE1 -zyvl

+

!7.

'/'l- 1

ELEh Etv TE obr ReL+rtv r &TtscnEtl krcn*/UtK

( - 9 "nvfr"- RZ-+v," (o' le'//,^omnv -

)

C

/4. ./ &uk u,-d * rr n-\ der ar;-,4t>e/alh'nJ>lt"/n<

(*rr"r rou - L+reBatuee- &*brtmn;/ke&a"i/t

k) Es p&* a\e-- A&{otufe *rr t, , ot-z*,

Lu*"*U A

1)*,4 fu :^

kaz^,tb/^e-, Gru c/* t**

fr44'4 fr'n'1i a^6aL#.v i-(

L

b) Ee hAf !'.*et- (dono^U^

kS$oLt,Et 14144 2 We-ad&-f

ohrc4

dp,L, 3 - d-U e-u-'t,bu*,(g^ E u l< L l5 ^f,c H Etw

F4u*, R=.(--\

. Ab{{a"-/ *.r<'e-- H-*l'* :

--, f:, .) =_l*.\n= L!. I,T l; I --tL. / l zz)

1!= lt-Lt

= / (*,+f* 0,-y)1 &,-=,)'

. T-st K e,\, TP=RT:4LS?STE&- 2 d'4' uh

S<*Os-,J /Qt^ ) -D de*' +;tA e4v C/";/frh')

- / \ /

1i>"t*-,-ryA-ade\Y u"4 fu*fu/ 4*,oud K"aV 8QY949r4b*, dat 4,t/ rcAYV! *t'

J<u.-,] E *+"^& C-*4ava'7/<;7- A*t

&o h/ aA.4 \.}('a\ Tt'te-r<rt,+/'??JTEJY-

Page 2: F = C ), a', {?'-G ,), - Technische Universität München · PDF file{F = C ), a', {?'-G ",),-.> 7)- = _-> | "7)- : t--o f-v-+ ... --V "tLfryer< dT " trtpo'- 'u-d " ... 2 z't- y-ft*"+

/-l- 3

/1. = Z> Erusr!r N sole- ?e^-, v,dft PRttu * P

. !r.t"*ga^ o4^x'a9- E*Zv t s v -

tr> Es q.r\}i {f a),-e_ .1/-;c4/- DL-na^4 w-'fK-<

&+X r tq+t!e^! eUfrz rrr-U t G k E t T fa o|'e-

&-/ee'{V ry4+, 9"*/"-

*oL $<"'ot*#,/V

Arr-, br-:{.'-* gp,aJ,-lr'^ol-j fr*V tu1 "/2Lfi2

u*re,.'e-{z "A

2o-.2e"-, Yv" -

VLk (*u'n<

}'e- L.ur Glfr.kTu-tublq ldetT

n\ al/r^ Ute e-n *L ^(Y tqEJq'erv

' o -/ ,atte*cE ' oL,z %'Tt w&\# -:G-.-'rb=J.{.u+.7ue,.+>7 c

___

&4rAt* &-*^LAr

a-)

77,+ E!erG

o Eu 6.REICM1S z-xv4 {,'e-*U/e-'. as"& !nVe-'.

-VZAto- (*,

")

<> + Dt'-, e---twue1-

. 3" k.g* -arc'aer-

*e-q' f'"tdnl.a{/-r4a- j\/

e- oYl-

fr'"4 {

h.HTGg sc&zot ubtG kerr

e.: 2. 3 g! 7o!*, +.- d

Ete-Sn,\

*LnELT-L:N t E-

2^-, &*tu AZA,ge /r-r

t.o.uw,v&0"/4*

/-l-+

t ? N

rJ> itu ,Szs /eo ./( ;- z -

_/

.Jc*.beP= Ka \pq, k4!-g^-4 , @go.k.de-/-r_J.u

ar.,4 ?rt*t- (t., xt, Xt,, nr)

arz'&Zf (t- , x-, .Y-, 2.-)

f : ' 4S

At

tf> ffi dir uA;vesar-(&o l'*1/f4-4^tay /""--t c-

A# a-%o fr

av /-84y"4

c'At)' - (axf- 6/f -4D-=2: 6r4t;'-(24'-(+)--48)- = o

,! aUnt- &e*,.C^f^fff TEJ'I EI\r

c alhe-?,-tq\-ar : des *{ntauA *^>V&'pn ?z'rr-' Fru3'"'r4 --\-/ -

\-/

(As)" : t Cat)'- A*)'- (a/-- (az)-n\* &he- TlvTlraR:ANTE

3\T

)

J't)

-? \'ot

/dJ

)*

Jro

-{

Page 3: F = C ), a', {?'-G ,), - Technische Universität München · PDF file{F = C ), a', {?'-G ",),-.> 7)- = _-> | "7)- : t--o f-v-+ ... --V "tLfryer< dT " trtpo'- 'u-d " ... 2 z't- y-ft*"+

/t- e

Pcr frrxt l<O-r'^rSK/ Qo---r.n/4. -T

O +'d>^e.r--t-,b"'-/6

[t] = El

?*,^ d^r -LAl'/vr*q.

Vi$<, --VbL'lo.r*-r'r"

+l

DAAL

J

o 9">-&,,Vu4 '

(*r)T - ( *o, X', x", x3 )T = Cxo , i ) '

et:027,,2,3

o 4e{.:k , 4t<(t

ouxol 8"o'4rq* o&t

k^qu du -114i6j-x (xr):

-J

I x l. : x. x = [x.)'- (*o)^- (*')'- (*")-

= Q<o)- _ R*"

o Tr,, u..4 /*'x./e'ole-, &^rJ /e-Ut'g* our*Vpr*r

--V"tLfryer< dT " trtpo'- 'u-d " (* y'bu'|

t/r/*ob'^ f il3oz:

(*r ) '= ( *o,?), " /*ul-t vor' 'cu;t"

(*f) '= (*o,-i) ; "/<ova#o"-*"

//-.{

Za.TART/GER '{Gfa"d ' A")':3e'01 A?7->o

2 ?A/4r!'LART,GER .4efa'.4, ( as)'= t(At)'- ( A? )- ( c>

c "/tca T I<EGEL :

x=cX

--::-^-,

' ,-.r,*lr<fl4 /er^J-- aj-|)'.

rr/ , ' )

/F9""'eA

\--=--\ - -

\ - '\ -

\ -

\ . . -\

rX-_e-t_-*

___r \

lat I

-"{

"r>1e4 nn -tt4\^Y *'44U 7 /--

a-qZ*** (- '\'/

e &-*Ar$n"'gl- u- /-

a\r- Vz-!t*-, t ,

1t=l=l< e_t o(d

o ku* fuf g"z

V da,'^ Z'-Ut""r4

1)r= l# l=. b>* lAxl = e lltl

9". t*fu&'*' Ee*v-L u4-kNJ-*- ql7u^)t4r

&ie. &"4 dt G-"Aan47fr*V 1/ > c- Oi'WA".^)

k^f1"? a,,2 b.q'{r-,L PfuLaZt,L Q,}e)q)t*'

;^U\ies(o,".

--

or;T

Page 4: F = C ), a', {?'-G ,), - Technische Universität München · PDF file{F = C ), a', {?'-G ",),-.> 7)- = _-> | "7)- : t--o f-v-+ ... --V "tLfryer< dT " trtpo'- 'u-d " ... 2 z't- y-ft*"+

/-t- c

//. 6 /o K* r.Z * -E^u..ffr Rt+a r- t o 41

E--"^^ : d^u

x'

G+trtEt*-G-* /***q/t

X ': >.'+ \ft Y

+:L,(Y-./' , z=z')

ryq>\r

5"4 a>\g Q: ct +-V *o'*rfu,rryr-\ro& '*d a>4<-

4"-,W (ta) v u o-Qo k",r-*Jrd!---

lvou-

.?er;q'f y/4*&-- .y;-4* d2* E rn J TE r[Vtc-/*n^

v v l0 <---

Ra^*v ; 4o" { pt*P. }r= L "t-*y rc4.>xy /"*? u;"a

. W, Tr*#"'-4u=--

" d,e Je-,-- *{.dqe/

t/"*,r<'<r- En-yt'\a< ,u Jq-u14"u>a4; - po'.-,"-,

As: c' (at )' - (ar)' - ( gy)L: ( az )'

(," #"t'- c r\,, )\e&*, &**V"{"' r\ t orr'o.<;a*-

il/rl6[k. ?n/R-A& o. L-d..4.. do*

-TruL{a-r &r.f

fur1u.Q*d "&Au/-e'

.\ rro.nn tu -* !r--)"^ .

c t+t- , - : . ' / \x ' t

,D J6,*--zl-^i sle q\<-

fu*^hT"*- At,^^*"^ ,r,--7 a1'e+q

U

lt_ 7

%rc,33

/x /2 = Z' x(xt< = Z( =o f=?

x(x^ : (xo )" - i 'f '

,Uq epan\, &r/, .-1W oUL* f4ra,' * 17,'*, ̂ lA Lt"N,' r- / l

a.b: Z o, Ln

to J4 E rR t l{- 7-8'--,1{-t- .

o o o I- i o,o

l= ol;q (l ,-7,-1,-i)o-1 o I J

\ )

o o_1 )

v tt/^t( .KOt= Z &f, *'

I y Y {

e-b=ZqrbrJnPv(

(3'"): Gel flf 8o'= 3r

Jl"z*ro&*'/t '

rD- pu 4 - d,,w ezzxv rJ--W"/o.rQctrq

M4 = [C.r); r= o,4,",=]

a,*3 oLas k-erKl K (gt") = dn'ey 0t,-1,-1r-1).VV

Z^ft{ kruxs,vrskt - R*uu

Page 5: F = C ), a', {?'-G ,), - Technische Universität München · PDF file{F = C ), a', {?'-G ",),-.> 7)- = _-> | "7)- : t--o f-v-+ ... --V "tLfryer< dT " trtpo'- 'u-d " ... 2 z't- y-ft*"+

1,1-t

o Atrr.r2 : ("* ) = ( 'asAx

\ x ) (s ;aLq

-*J

-4)

1-

a q .

s iuA

cos l,

* 'x

Ce4

:)t:)Sir".^<Vr"+

zl7 oJ ea{,7 (

Sb lzx

mh*

m-(ua

* ( .n-

"

* (un* e

siu!'.< :

ct = ett wAa + x' sfultx

u/^4 rthcL,

Gt)'-x

&*:o!n A-t 5

(r fu4#'^r"nz d: ("-{-.-fX Se^yK 4c-- ?,'*tl*

xt :o 1fr+u, k- &^/"t*, a.u-: -

U

l-('+w

et: .t ' usL q.

xo: eLt s;uL<

xl

Y= xo = s;ha"( =ha.rLqc ct ushx

X= ct'sinl',a

: Gt,)-_ x,,

(t-- (t- F"rL

n *' "uL<

2 z't- y-ft*"+

5Y

)

2

yrzY /z_

cr)

17C

tr> Ak"-{^, fe'u)

-SrrrL x : Ftr 2

wLa: y

(*_y* lonLa, = F

u',d sire lrtn- usL'n = [3"yt-V'=,

14- lo

/e nrrT? - Ty* A**v,^ a I., A" * p".41"-^K

(.> -L*, I V qe?iel(e ,/n,u^y< -!z;.,*/l'*,rr)

(,r) = F,otr ::l t* )t;\z) [:zii)L;: )ba-. F : I,t"fu) ^,, #- ae, ?t*d;x Lhr)-- x

y='

E> G,*L,- =pA \7,/e << a rt\ G o, t ! | - -f ya.*,Ar.t^"V,b L, .

t l

v

14, V /o,u^* -J'6n-{'o/c /"o "

cu^d 2.;/ - b,'Lloy',v,

.t'*Y*' x'*-VL''

- - 2 -,/t V

t -J - ^ t

/ ga/-a.AIe !.\ca

-k;u d,-dtf(

&n-'/e'*, J< t

Uxr* xt

Ax : X:- -Xz.

,r {*B r\q be'-v7b

C A/^.*v$*<^y6-v*v) ?yl *1rx' xL *1rL'

&-4r/.* 2 -,u d%

-J

*e-,naft{-B- 4,

d% oter k^fSt A-0,

'o = Ax

"^Lf,

4

,li - E)' '7_ e).= −1)

Page 6: F = C ), a', {?'-G ,), - Technische Universität München · PDF file{F = C ), a', {?'-G ",),-.> 7)- = _-> | "7)- : t--o f-v-+ ... --V "tLfryer< dT " trtpo'- 'u-d " ... 2 z't- y-ft*"+

//-'r:>

/4, e !r Geu % t r ,.'^1 l/renee-Ce"aftrrrru$ /! kerr

o $"/-*o/-{E e,il;-- '

\7Ltrttr-.<- " d- ge*eq,r*q

A a)^-ae Y-A.b*, u d

\ (x!) = (.tr,4)

= ("1) = (.tn,?,)

# dk-- Ye;Gz*^ ffi!*fu- tJL,2iyt-EOeu2!r7-- TV-\rva<( AT = t.-t, , ?;t-&u^

"tuto-u ob4" gt r&-A /w o\. olx

x : e L<Jw,

# (r=o

" 4, r,3)

E,\z

de:

d.h.

T:. L /t- 5o

+ d;e 1'+++'=f-lier 'b f

/"/"* ff* 2c+

o &;ta, , uF = dI- =c=- dz

"n^-.:-? tf = *t + yt* *t.

U,-^9(

d.<(4

dt

zp e/) g--/* ,( l

V

E ,ru(= l.,lt = T"(""-ut)= cL

r=od.h-, de' ger+q d-es

-h'uuV*4a>L4A1-; t -S*

v '') " ''o4fg-oaJ4^'a'9 MT_.\var>,a.,1-,;( #uA

db tQ A V

c:

v

. / t - tl * ez

dx' d*dt dr

1 f L.: =-Ytr-

, l 4 - "l * cz-

' ( t '= 4.rZ 13)

LD

/4- t4

4'= -e o .t alzJ - -

/o KE,vrX -C)

4l(ourRAPTrotV

Jq"Z" !r'h v-SJ^t

5n'^"

k"^*^L\t(*

J- d^,

HuLn*

S" o,te-7 % r: .-/..{,'-< -!er- L*.2 drt- A L h-,rk<-/ o rl

{er1-t<rael;veA rtb *Vu

(.1u1t4r44/r4. 4 ;!*-l2e-A-ru\-er-a V-/-t "!4,

._-_u

_VA-

(.----'

J) .?X&4a/o*"u:

. Tz*a.Ak -A9,:\ f)lav<-t-, d'e 1'''Q */a/rV *.et\a.*pr*

\rr>

6A

Ats

e.,.-? a(r,. Ger4*\&yL-tv tyu; h-t-o-V-tz-o,<

2;+>/tt,o/hr- e\ il" b^ace'^ $-"t*.,?'.1 U$fr"Z

cfi> Uh" i-. f*,^ w-7 e\*-t+, tn--Gq-4 {* -rLr^r}rt"^d*

u,e( -r*Y" %1,ti-znq// T C"rynn/*t7'/

4> Uhr7- df! 2*at 4> e-'\en, Vk^,

d4 (b{

rcls{-v :2a, UA.! 0h-> &rZ,;uar-9 fr-? 11 6<6oqt ,/U

7)'= T"

*+-e"qr 8u*-^ 6a 'e*&<r--

-(*1*,,- tU* t th *t*-&', vzxVtAr/"'^:

ft,r.b rtrATATtol,t

Page 7: F = C ), a', {?'-G ,), - Technische Universität München · PDF file{F = C ), a', {?'-G ",),-.> 7)- = _-> | "7)- : t--o f-v-+ ... --V "tLfryer< dT " trtpo'- 'u-d " ... 2 z't- y-ft*"+

/4- 1c1

q,*7 &c farrf,,e E : epo= e /w-.r*Ft :

: .U4e| - 5 :

l_+_tVYtzcL

- f ^ a ( a

: 7n ct* -Pt - 2 '= +z)^4 8fn3e,

. &tN-t Z"t{**< e,\,e-.s Voru in efa $ro.

u4ol

e,r\ -r\7et*-y'n)* ,' -tT*+ t

* v

C a J4e.\f = loc .V)

= 2oG, dl .r *1o 4 ^k7,o.sl'- dq

Ek lz'kront

D !n-zg"=-bi/a*a,

>4 - E -

c-+>

tuocL= Ff *!, = l*i.4*Ft' + lft.

| ; ) = *3--*F c : 2 9. I -taz\T/-

I ' 2wrn

L> ryo/,"*- d.e- gula.,*{z kla44.^"t^'//.*.^->

f* z>r^e( ;6--E4fAt-+ i-, 4,2 /o.#*sa!*

db JV--*.>6h oi

o Spr P,r,LLg(--> f, _fr.t.+'T r v t Ti TfTl eo P-E- &:a/4 .

/

*o :

%(^ :

r lnv Y

43?. 6 JUe-V/c.z

4o5.7 hdf/c '

o

1tr<^ tf + ul".4g(

E.ussV<

h*ssE 4\4

( "E- qni')

4\z E".. ole, EtveRGrg

Lu.d fr-*, oh Aa olAJ<-

Ea"42rel*^"-.- 1<';tq-^ o44 z>l./dl',ulv

,14.9

/a- tg

Z-J4putS ur^d EtveRGte

rlh e--D

%ly

uf T7,,uar-:lIe.L t',b

Cr-r*r'^'J")

. eF -y/ a\t

o u ilft,V

+

rD>=5Z L --> )._ A -

P:Po-P ,fft

bz,z2^CP"

,

e?o:I

:

-+2-z_D

:rT l r tC-+f+L

2rm

,., d-,e, t>t- d.e- Reu+T-tvlJ'ulJe#.E ENAQAte

e--A,% {u'* -tuz"l**

n-'\

/ ,

io(r/^1-:{-zr* Fo: E mi/-t/

p^/*^o-.- rrh:

l ) t

3>. /;4u-, -7;"r?r

- T; P*Ud--- t

Pf = '7''L uF (y = o, 7, zr3)

FO:/ ,t 1>z

I C L

+

) f :

-1fi'c.1<t --We/-fu, d,a

3

Z P' Pt' == 'Yh " t'

f = o

Y I L

(n4 hQt Q-et,*.a J^ Y""z'l-'*

ryr# ,m..- = f" p -

: ,rr'a4 n ft-'

rT

.l ,rr".4 * F'.t :v,

lf I <. (n4e ...

'Kuhzen"gft

V

b>--4>"r''*^tY: