De boundary element methode : beschrijving van de
ontwikkelde programmatuur
Citation for published version (APA):
Courage, W. M. G. (1986). De boundary element methode : beschrijving van de ontwikkelde programmatuur. (DCT rapporten; Vol. 1986.003). Technische Hogeschool Eindhoven.
Document status and date: Gepubliceerd: 01/01/1986
Document Version:
Uitgevers PDF, ook bekend als Version of Record
Please check the document version of this publication:
• A submitted manuscript is the version of the article upon submission and before peer-review. There can be important differences between the submitted version and the official published version of record. People interested in the research are advised to contact the author for the final version of the publication, or visit the DOI to the publisher's website.
• The final author version and the galley proof are versions of the publication after peer review.
• The final published version features the final layout of the paper including the volume, issue and page numbers.
Link to publication
General rights
Copyright and moral rights for the publications made accessible in the public portal are retained by the authors and/or other copyright owners and it is a condition of accessing publications that users recognise and abide by the legal requirements associated with these rights. • Users may download and print one copy of any publication from the public portal for the purpose of private study or research. • You may not further distribute the material or use it for any profit-making activity or commercial gain
• You may freely distribute the URL identifying the publication in the public portal.
If the publication is distributed under the terms of Article 25fa of the Dutch Copyright Act, indicated by the “Taverne” license above, please follow below link for the End User Agreement:
www.tue.nl/taverne
Take down policy
If you believe that this document breaches copyright please contact us at:
openaccess@tue.nl
providing details and we will investigate your claim.
DE BOUNDARY ELEMENT METHODE beschrijving van de ontwikkelde programmatuur.
Wim Courage
Rapport WFW 86-003
Bijlage behorend bij het afstudeerverslag:
'De boundary element methode; toepassing bij lineair elastische problemen'. Rapport WFW 86-002 Januari 1986.
Vakgroep Fundamentele Werktuigbouwkunde Technische Hogeschool Eindhoven.
2
Het
J,.otJ!tljOrtJr4;nma.lJEI1.fT/'I
-
0.1.-INLEIDING
v,'U.
~ila-7f )~od ~ii
k
+tuciUT(/e,~/t!t1:
I1J~ ~(J1,I"d~y
.dt-metd
~Jr()de;t
oe!'MJl'nJ..6,/ ~'n.RCtil' dMtl/uheF,ot!emen;
WfkJ 1.ar~ort 8t-{)o~.
)n
(/~'"l.A.
hjla.1e
MOfdel-f~
(0 Wlf,de,
j'J1'0ramma'skd,,.ellu)/
jehtVJLL.fd. % t:U .I~lo'ddIY ~ ~h"r/e//Wdb
,t?t'WT/lew,RI1-ceerd
'Z-fn
tJ)O defhme
C~ml'rd-er va"
detJjtLdt'lf.j
tJerk.
tUt1
bouwtul1tl,.lJe'U
U;})',/~(db I'IOrtJmYl"~'J,
4UJfaa"thuti-~1'1
l"old
jOl(>tramma.
JIM.
fTN
~
ee,.., na!DorflrOrahlhla.IVgrl1.;:T~
Au.nlfel'l'o~Jep4/}t
WDrt/en 'floOrtw~e-
et/m.Ln..,,,·o'l~
"&'I't2Q.t'r-dintt/:>d,e
/YflLc.kl1nic¢
1>'0 {,!unel1.(V/ab"awm'nt /
u(e:..)lreUk).
)Il
j"o/Mt,,--k
1 {V(,,-den1!()h4d
tiL/Jo1l"7elj'klutdur
-va..., deI',t>ra",
-Ina's /'es
fJf"keJ1 ~ worden.brk
ek
toe4.cldt'''7ett
(lOortU I'Lnmah1,lor
uikl'1' 9~gell{!n.lIo1~t/.(.1c
:2.e"
3 jtlanat'ejORr
~
op
tiL "pho·u.1V ..vlh,?u'6~'dt
f'''flcv'''''I'YlQ', / /.;f17. FTN
'U/Jp.
AI,8fJt1.
fTN~ ~h tU ~rjb~IIf)'1.QlfdL/)[..{broc.dl.'Ill/J.
D~':U! tf.V-e~
Jz.()o!dAtukk,,.,
fltnvntl'l M.~'k ~tll
tll/J~~H.IJ~J,4~el 1~~Yl
tUIJuo,,'e/
'Qo~ kclt,~vel( ~
M
J"1
ti-Alu1l~
I ..£"ae
M.i:ier.'"aeqi'rt'
I'
ror
a""J'ta
te/ot,
29'
d(e"Rhdan
()"lnut
~OJUU'
tJ.h.l2hbe4c/'rj'vi~ ~n
..kt
,Pr()rmtna.. ;fIccr tf.£ 1'I(7Vn~ ~bruilcer / "1I1aar at, ~lclaru"de t~!I'dh'/f'bJO
eu /
~/1.P.en4,va", ~mel'ltaar V()O~'ltl!I1('J Soul'cefl!~t ~an...ltd.
f>rorza
mma , /l)o()r~~Je~
dL,1t(~rm.u
/(,Ierdtr CUJn~
-
1.1-HOOFDS TUK 1
2o~
Ah,k
.Jpidl/vsl~
1Ud?~,
4tecU
~
1'
0r-I??'m4-
13fl1.FTIY otR tI~.el1de mtt>?1J~Y/:-
a,,~
;Jereh1Ja~
"t'2£alrev/4.I;" rei
i
da..J
s,;oa"l1/ni~
jOrobiemeit '1'11d M()trOt>p ~/ut:u'" ~It/.)(:..A
"J?lMtNt'dJ-g
e
t/rc:!'
al1~/Jeren /1Iarr
;:>'0
t/eme~ Vt'or l:met'l1dtj ftlde J~6t~dP",al1a1
J
"trelt /Val't fJrobleMentv~C4-t
by
.4u
-d'dt4An.d()t>~
/l1tt£r Ot'an
...an
"land ~oL ~.-
4..tJ.~"J1!
-1IaH"'l"tlnnl'/11e17
bt~~la.dr/l1?elz
Mt t:UAnoor/,U'lten
~
oU 'land /-w~/'f
,;(.Pllenttten.~
tX.e 4J1oo/'punteJ1 dt./lJo-tted~
"'i
al1l1t'l1r(oesta"et,~
tU~J ~an"lltrh1Mr(~~
hel'tlJa
4ycnat.
4-lreJc.e.nl"j
/f/all tXR/Ut1'~M4i'1?ei1
..e., ca4jOal?nillt~
toeola lid M, Mt/Nb'p(t
1t!
JO&ur.!eI'J.4{!/)
c/,"t~'ven /f/an ~anlt/l1rt:U/)C()Jf,tt'4..lU·t~('Ie" 01' cu "land m'Id4t.-~tJr>
MV, otttJiJd'11t>()I',~"It'A" ~t>~
~dtrevel1.
A+,/011.1'.
3" 4.ltllf.J.u
.4~dPetAIa;, ~
tte
~#I:"ttj did Aht..die "tic4ti7 ...,,;, /?Jtllf;'te""J -l!Ln~1t()[)J'fJl4ltf
ttL~anru'lf.!
.f/ON!e-oeIJreve#1...t.O.1
dbru ,'''' ,pal'!~'utlt'r~
/ Jwadl1a.r£/,che1
CUbt/oc/'e~wie't,
;WtfMbj"
jefJ*tU'riR, U-1.'pIaM~7e"e.c.-
t.1-Ve Je6ruiAer
()tt.'~nt
t:UlnM
I'~t>ra.",ma.
2£11.FTN -Un"/lvo~r
fie aan
t~
heren,wd~e
a.tk
kodtjeu.
dM-a.,tu~el;k"4
-lei
afoorte
'Z£1c.e,nen jOro61eeln
~evd,
Nelle
(J/a"t4.~ .Jr)~
ctu« ~ otL ~ (It>~rf'le ,e/(/'Lmd/eerd &tielfit' te ~~~, wcrtLtM,
.,101
M / Uk~ ~f ~ ~d7r~vt1
Ala..-, 4uhrotde'ne INPUT 4eAChrflll81tl3j'
,Ja
a'retaiert 4/ak 13fl7. FTN~J
k
17ro71.a.m",tt VtA cUlerll1il\a1
a.1l~ ole ,el:>rut'!cer I/l"-9~n tJle J1l(U2M ~n ~e ~VOy-fie
% Ieg
eVl!J1.,!-let
/"01'ttlmM4 "'!/li/t4.Jt tU 'lef"w,"ueve.t~
oItd.£r MI~ na.am de ~lIoer
It
'tL9t
c>z..eeerd /)'1l~ ,(,,)tfuilen./tt)al1ltUr th
9d>rc,u'igl
'14. i'''oJO -vank
I'rorttml'ltt'.BEI7. FTN
~o, ~
Itflll1tdie
(NeT "'JOannt'lI/en en /i
1Ie-tl'laal4th.,en ~ h-t1'4~
weneuj2
/Dulllelf wtlUt, tJlA",-JaJ1 ?etrc,u'J:
tvt1'l~~ 1.em~lt.flIa"
..kt
nal,,()~,or()7'IA.h1MA.
)/8£/1,FTA;.
2)//:'p,.()tall?m~ ~
tJ1U
~dt.,
d£~
lAmA-it€?~
Mit (XL.ue't
I/~
It
u
"'~
-ltd
40ofd~I'Or4mM4,
Mltt41.tJlftilLl' tXt URd4~/;I!n~ ~t/Uden
rJf de 'lana. "1)tJM
t
tf.,e/u~
{/otrfle 4fa ...~ ~~djd'Ot1(JYh""a.
cit'ent 6iL
g
el;rUA'lcer et>n tw.eecle --e,;"voerf'/e a:4", ~et Halo~~1'()11i/tmmQ.. aan te .-ttlta'erl, W(2cui" cU ~a. -1n_'-l ~ ~tra. A-it
wenetc'1~
;cunfelt M~
7
e7even , !Ioeavu
t:{U4.9~
d1.n-ra.-ttRRrt:t,tXt~
te
~fit "'V~dt ~chref/i!n ~ ~()1eVJt4k
3.lk
Aam~J?
1I4n d8-te. .M1{/()er
fle4
ote'enf eu ge"nlt'f.e,. 4/t!.er ~4 tU lel'h1lnM aa,.,.£et
jOrt>/1.amn1&a.b.el:.end
ce
4)f4/~n. ~ ~
vtJer,lt
'Ie,pan
Au
n~()~/,rOr(:Ul?mliL
-tvoza-t...eert~r1Jcltrel/~n 4/erJ~
.M:t~ ae A/11t/otl,/t'le - t71~ t:J(TlArrDnke..~·Ir~ -ut'ltlfJt.rjtle ~..,
-
1.3-re/~mdteerd
4h
tXt..tf11?AjOrDnlcdj'lc~
UttvO&;1'Le ..t-aJ1.},et
4,.oo/dl'roramma..
7)d
betekent
(J(.tvlk
;'Ja.!olPrproftamm~
'/erhtta.!d ,lan
tvrn.deYl Mngeroe"eJt~ ~ ~
lJ"e"
f'/v,
.-tJtR
M,v/)~r/de /J1U d£t:t.a-ttt
overeu ..
il1wend,?e
jOulItel'1 ~tit.
..(,U°ttJDerfU
~ ~()
Ort1
R4-ta.:r
fen el1 tlJ1~ fVPtdf-M?
/cj.
-1.1<J~Mheh we£r1~,el/en.
,---"'".
~--
-
--
-
-
-
--' I t IT
I I I L. ~-r---.
t I • I2'
''''tlDf!'~' e.... -- ..-.-I I I , I ,,---.-
2.t-I-/OOFDS
TUK
2
Net
IfJtaLt-
/r~rttffm'\O..
....;
~r,.26DUIVd. M~;i
.t!.e"tJtbofd~"~~1I14.
4Jt:lI14JtuL1.w:t
'f/(A/Jdr..dlelreU
.4u/'rc't,dt'~ tta"1,~r~l'el1 wbrdeh.[e'1
/JoIrem~{~dt
Ofler':{t'& ;£Ia.n dlvU.~f06cu'1/ ~ W«r1~1eve,.,
~
I;uur
~.
f,7",.i..u
~af.)t>lge"de
/tcJtndt" tJUIu 4«-/,-tou;[t'''Lt4 /J-tuJt A.I~r 4'tuk ~l'r~lcei1, &v4~/'f
tU /ltat/AM.~"J..td
~J1e~or
tXeA.u,-ft7U"efJ'7
lItlH 4«61". I1I1T/?X.I ;f:e....t.d
~~ -va~
..Id
~d-Jd ~9et;'i""'1e".
(r
(3.tt).-ttifk
Jo,,:/d vu
J'4j ).
fIa'1ut'i
k
4t?~dl'rorall1"'d.
Wtl1dL.11 cUhr~/ll'lfd.t. ~tl6"bG(
tt',u,o aA"tjeroeI'4J?,~ ~ ~fJO/d'prOramht4 ~ef
MJ(J'utt~ts
ui:.elr
4J~rit ve"'t'c..tt
41tJor.I.u
kr~ .va",
tU CPU -~~
7/0-tjttel7.ftrder
tvtndlJ/7 t/aytu,:i~ ~oo/dl",.,,;ra""h1a.
ell na""e",-va",
t:U. ,bl - .e..,...ui.i
tltJerfle.
,evt.a.a.,ol
-br 4v~ oUJZ-I fe~2.2--2.
~-) " t:U
~ ,eiltde1ji~ ~t~
2cdk" A,i, - £11 Md(,/Oe.r-t/M"~or1e1.
Wnden ~.".v. SD!?C - ~ol(lVlJ.r~.
.De
a.ct{,(e-te 41erU'e -t/a ... MAJ.r. I!VPt/T 4elVerlc.)t~1t tUt,t tJU hel1~cU1de ~ (/uer1~J.etlel7.4 /fIa~teen
door cU. ge6fut'lceraa,,-7.emtlAJe{e .fte ..c.,.;J~e;z 'V()rc!e". ~rtter wDult'n d/O 7,,,,,d4.lalll
ct,~ ~1ele2ell tvaa-rclen .el'llc€-u vtl/u'46e!en/a?('l4t.j/J '1e~edd hlet
~(ude '19~de
rwoth{lc!RIt.
Z>e
4ub,ocdll1l? ~t t:JlLtl0fgellae
ru'~thetU.n ..{,H :IpL
AlE
Alk
NI/VW
He
NV
IPoLx
IP6Lu
IPoLr
:::: 0 uo"r ~n be~,.e~d ~daaWl.~
.... -! ,p~ ~ OilbeJ,eMd
4.daam.
:: 1 (/(/or "lai:4pann.t~
.::; ~ {lbOr 1/1alclu rek
at'Jnta./ ..demenien
aalttttl
dnool'l'u"t~"
at'Jn
tttl
.,Ah,tvenat1e ~"uf,tenaantal
C()()I'cLlhaEen(2QIl
f41
l/1..~he''d47I'tu'e".
tt~ 4A.terpola,fte orall ",oor oLe ,P0,,;>,'l-t'e1/1IctDr
..r
-'i'dem (/Oor dL /l8rl'l((411/"J U/(dehJ /1(1),
cu
A;oanni7 i'IPO/ ::
t
-voor ..aiuair, A'n.ier,Po4tle)ILk
C/(J)k
(~K) ITO?(~}()NfIX
/(5
(j)
]PIfES{J}
E
•Po
:. 3 '1Jo~r 3~ grttAcLf ~terfclaft'e 4. elL
~
U Ldl,e () en
{'ed/err~1I1P()L,t
•I
Polu
.e,.,7PoLT
,dj1c
~n dJ:~r 7~f20lne"Ie
wpr'del2 .t1/:lnta!
/oJcJL
-Il1ooJ4l'unfeJl per~.
trR wtltlAde -!lti.Y? dR k- tie ctX>rd/Jlaat 414+t~J'tOOI''punJt
'i
A'I1"VendtJ,unt
.I ..' .lei J/t>6a1L
j~ooppunt/)"tullm ~r
va;,Iclrt(~1
.1l1ool'~tod
k
va",&me~d
I.aah
fal
/()f)fI11e:Jc~".e/lel1 ~;oanninr'ct»ttjOohenfel1onj~t;jk
nul.
t2t1nla.l (I()or7l'fi(;hrev.en ve r!'{aMr/l1
j"
Cp""{Jpn~nteJ1.leR;/t
tUZI11
~
l
de .-J.nccjOl'uI1t .andubbd
~11001'1'CUlt
M.!lo
ja. /
atiltJ~j
tIDlIf>(j)
tJU bVuMtie.AIa~ ~
"/nt:rJl'l'llltt!-tUunmer
hI.~t
tJle'ld/tte
co(j,cU'nttlen.'J'ldtel1
tJtiI
nt'e;t
.J.u
jeva!
~
"ry;
tJDIIPfjJ de
Wdt41tU
ned.
tlf
((IX-I)
kNV
+I)
.J1j~
t
oU tvtUvtd.€ -'!Ian dtR f/"Or1PJchreve", '1/1.Jhe(~rr-aQ.d..-tn(){L1-tie ('otna-t'naa.t rt'cJdl"j 411111 JI10,,/?,Pcozt II(
: lPIfE
5
((IIr-I)JfNV f z) :::: 0 Avllnnel'r till-fin AjOal7l1il1J' 4!JW7POJtbd be/reld./
=
.:f-4;1111-I'lLer tU /f/e1.,IOICtd/,)
/"r
C.oYYljO()/'lRnot
{)()tPr7
e-/)chreven
~.tIL
-dtVJtlcciet'islntJdutM
/.(pf>. (oI7Jtt:od~van
Pot'ssoJ?
-
2.5-i6~t7t£,tin.e.
7#'ptlT.-4..,
t«.vu.
/(;aM'el/'ek.-rt)~
tU.(I~en«l!
A/o1"rtt'e
(/2Jd "-Ul?7mers) -t~ ~ de -#,{,/oerflc:-uJdn.aIf?WI~r 4/4/1.itl
teIL;z
'1
tt'te!
2
INrl3~ ZPL.! N£, NI(, NIN~ NC,NV
3
E, Po~
IPol,(,
IPo/
tt,
IPt)/7"NLk
for /
=
1 (1.) /11K~+ t(1)Nk I, I[)f./P(Z)/ CRPJ((J;1)r .... ·" CA'bJr(J;NC/
!tl-Nkf.
for /::
-1 (-1) N.l"NWf. t(-1.) NlNW I, C/fJ)/((7:,,1), .•.... I Df?)/((1; )Ie)
~ fNIr.;.NINWf
~,
j:
1 (.1)NE
-I- ~(1.)NE I, ITOI'(t; 1)/ _... , IT()P(~ NLIr)
y
fNkfNINW-INr NflX/ HDFZXju
j::
-f ( { ) (NrI% I-Nl>FIk)
~fNI(fN1NW-t-NEt-
k,
leI /,IS ((k·I)A){C IIC)~f 1.(1) (MIX+NDFIX) ZPRE${(k-I)~N{ -I Ie)
ZJ.L
~t,o~ ~'~lItJ ~nr
c:U /laJ11l Mf~t!U-?itA:Ur'"
ah.4"
?jtuA
r. .1..2..//7
dU 'tic4.-!l#'ZJ A/t:ln dL~I-a-& ~retAitlfl~
r~'lentX/ ..te1.l"{~d(
'<.ic.t~ ~'c.ttt4,.,
t'UiM~ ~·..,J~r!litU
2.6
-2)~
ltumme,,'111 4/4.11 d.L .-infVelld(~e
j>t.otlel1 clt'el't! aa.l'0/ui!e"d Of' ~ -vtlyt de .J.11.()CjDjDl,or.'/eJ1 ;>/4.fttr Ie vt'ltdl'If.Va:>
A..Ja"neer dL~Y10o~I',,'drnUYhm~rl ~?eyt
-1'411 -{ tot n.., t1!()rdel1d~ "'''I.'V~n~~e
7;r "filMt'i}tl~ van tU. M7{loe.rtvj~-e 1.I0Dr de da..ta. wt:nai J/er()l1der
~ {lPC'7.b~d
'je.jt!flen,f~ (/Ice.Dr~
;>/aaf/'f"~)
wo,.d! tl.Cl17 cU"ad-.eblden. A"=- ! 2.
.-IdCi4t
door.Le1'!tt"i/~nu
trt!IrA,o"'""if1j ".O/'
ttl' rand'I:;!
2. -fAJputt de /fr&tl'laaf4fhot .Mf ' / --z,cl"llI11
t7ndLr-oIruk
t.
(fJ~'
3).~ lJ.
p
p
/lJlet
&1dem.e-d
lIudelt:,zj ,<otth j.£etefizteerd M,fr,·
2.3J8 !t',uLLe'nz ~h t11'2U CUc6ule kl1.()()/,pultfeJ1 ()JO d~ keJI'UJr~J1) M eu ~{I()e,./t·tL /f,)()()r ail {)laiA~al1l'llttrfJrVb/um-!Jan dU (/ut:,b1~
/[Iorm:
vi
/1kke p/aat" t ,
8
J 1l ) 1 • .2,2.5
J , .t 1 , 1) 1, .21,
12) 2. i -2.2;
¢;
J,
J ¢.3,
t., i .t.) 2, ~)3;
2.
i2.
12I1.
iJ.
~-
2.
13~ ¢. J ¢.1
ShUH'I"9"ven!.J
maier/oafparameters 1- ) 1.) 2-2. )2)
3
3Y,
5" CtJIlY/atlv,'ty
,
, , I : ,S ) 11
J 12,6,
6
1
)1-
J:<.
J ¢ 2. J 1 :l. ) {Ii rdnduoD'wa.ard'~ 3) 1.)2.
IP
It )
I2)
~ )1
• , I I I . I12.,
2. )¢.
)1.
-
~.8-J"ti7
t
de {"VtUVtcU "()tl,,,eu
IC- d~ ~(;rd/n.Q,d -valt,/,a
Mt'olcibf "Mh dLm.td IE.;J;7a
.1d
~/ez~J1.
"t/07.de'H ttl.~(J~7.J~JelltJr/.)
/JrIetanweer
na.araiR
-<.tt."ttlou/t'le
9eo~,evb',
ter u;'tf,o/~ b1 -('ttb1 tl/t'ca"tle van.Au
doc, ge relrende f"ob/eLm.
tI.R~de~
wtHdt -41 4U6r.I
Nf>IJT aand~
IId1ende. 4/ar/a6Llelf ..I!J2;rwaMd£. t()€j~keJ1d: C~1)t1 (Ic/ Ie)
=
=
; at.t7'tlt'nf1
~du!~ (= iK) I .:: 8n6(-1-),))l.ijjt
ttl MMUdt ~I£.=
E
/2.(4·1))) ( (IE)G
Ct
C2
C3
c
y
::; })
V()";via-tire
rei
J : :I
Vf)()rvW
I3l'a""i",
~!()t(€
wcnd:t J)~(v'11elt
tWor D=- lJ/('-1+)1) M(JI?l1ier .&4prake A? Ala" "",(e.-Lr>ranJ'lI"j ~:I'.v. u!Alcfe
rel.
~bro(.din.e
INTINT
Ju4rdU"tin.e
TNT
IAIT /f/ull
tfpaMtLr
S6.h W6 "Mdtt~ l()4Ard~#f
/(Ian oU ~t:.a..-&. CtJ6,.clt'nall./ "rMp. tI~ weLJlac-tcr~ll M, oiL
f
tU.i.M-~
ttlf1Mt'e I'fAn-tert.
3()ot!l1dl~'" w(),e1e" aR. t?u~., tIP, ']),fIf>, /lIP..hi
TIP
JevrJd ~ lX.t {()4.a.tdell Vt:t",eu
..eHterl"0/a.tt€fU'zdt'eIJ
-:l.lj-)11
4ubr~tdt'lte
NP6{f(~o1.1
t!jhQ.rrlr,ei<j1r
41% deortand
.(Ia+t~
..na,t·iOno.L're
PUt£t
totM
~ ;f;;aMover eu. ~te~i:e 'tJ.A1 /Norden ,Udtjlwo.erdI ~ aanW ~enodtjtie -t..1ter-cd(~lun..teh.tvorden beJOM.fd. lfierlYlU, 'CL-lc..en/1l.9
.J,otAd~nd
Wt7ldek~
4fA'routlntINTI
NT
1~S
AMlerOvtt'efullteJ1 /11'I.d~~i~~ho'eltrb ~1Ia-t'e
W44roleJ1/t!()()r de ./J1.terpot~(e/unc:t{'e? ~!o.arge~et, Ie tvden.:
~~
4eo
to..cu,de A-u"I; :l .Aitte~'tJ,Uef>u",tell~-
-€Rht ~d ~ectaande -tu'f'v
k
ierrMte
pal'lt~JtJ...
..el41 ~ ~taaJ(de A-u'tb
.<Mtertdt'e,unte".!3()()end,'eif wordelt de arrarr IN 6..eJ1
S6
J~(lJd ~ ~rt ~# -::Jdj ~~ta.aJ1d£ M-t'6 A(i ~ tett4.it'ej>toden;welk
MJtn.ai ge6ru/l,t4Ja.nnee,.
k
?ttdt'ona.lre !unt o/'Ad
.e!em.ul.;t.ttt.
()/)'t tXtu.Alerschdtenu
1e.{"te.
~unn~n Dr1) klan W()r6en ~ - ott'mew.)(·ol1aLearrarp
,.ehnu·kt:
SG
(7;
7)
.4n
Y
i'
at 4-vaQAdL~all
tJU..tt~
Ct>cret,'na.at s~
.J.u
7 -~
M1t
'rA.i
lelJud, /loor t1(.L1-
de~
~ ler-Mit puntenTIP(J:l)
XIP(Z;l)
4'd~m. (JOOr
eu.
~fb.elr()rel1ttt w.u.:lactor11 I P ((ELK-I) JfNZN7 f II,
1)
~?
{C+'P4Ja.4;z~
,va-It tXt. Uk-de ~ ferr~ta.;ft'e-f-ou;!ie iJO~' de
oerj'/tUtt-~a- ~
kt
1Z -de A'lIfer-a.-ftel'ul1t / Vo()r die I-de~ ~
{etta-tce
!uJ'tt~",
;(IftVl= Jd 44atll~/tl,
~t't.
IOU/1ft", h.el,ore"debf
der-
we ")d.IfJltWl, Poor ele ~'te"fJ,/4tt'eFI'le-!t'e'J f/(X)r de
4J0
4J1/1/"j
7)XIP (7"J)
-
2.10-.' ""d~m, voor de a.;9~"cIe"&tar t:U -'~a.ie
{Port/inAltt I ;CIa", &U ..IlI1le,.po/a.h~
IUl1ttl'e4
/fl~" de
I'
()'jc't/0 .foor
~
4'u.l.&tn/(;a~
elL a."tft'r
~
de t..JaMdeh oVttii cU~{ erl'0!a-6t'e fUle..-tt'eo AAJorden eJ.j<Jat.-te -1uldoutt'n~ dOn7uoe/>e" Om
.J.d.
J~I,e.d /leXt'6de
r
ah
oo~
C)ver~t'dde
{Jhr
Ie
hla.~.
/Jutr.
7JX?SI
:
/loOr cIR af9eUt'ctel1 naarae
.Iolc~ C~i;rdlI'/4At S-va.., dL .(/z/€r'pfJ/a.i(€
fu
I1vlt'e4 /I()()r ttR ~()Jl!l.drt~II-ubr.
XPSI
kitr.
TPSI
1/00r de ..{/z{er)'Joltt.tie~ndt"~ ~()r ~ 1.etJlI1etn'e,
"'de,,,.,
{I()or dL 4Jdanl'll'''fSUb;.
tlPSI
-t'tiem tlPOr de ()erp/aAt~,.JII
l~reMf~h'l
lof de ()()erc.,e4u~
fOedt'1'l£4 MJOrdbl ele;fI(.?rtlk-h
e&n ~ ;')rt£.t91UJ
eve"",«a.
~ Conon ()" -.Po
dr /
/b1M r 4rt~ -I!!4"orrmuzlYi
trt
~ tU. 4/.{/,routt'ne tUUlr"eto -1Ja" ckvot,'"de
/{Jo,,,, :
X?SI
(7,PoLX/IL
I S~ PI.!., IFf/IL )
/J1ot.ei
I POLX:
1.ICvu'a6e.t..e CJll~AAi't7&/t
.vanwelk
~rdL d€,M"
Ce,.poWt'€
I'()LJn~o""t1 /
tvAt«wtet - --th a/I,~etIcU
~o~tl't'e 1elfLter/ol82rd.{O.IL
,-aft
4u
./oJa.k
.lMt>jOI'Ultt tlaJt4JtUUlJa~
t:U~
ferl'0W
ll2FHd-le 1-eno1Yl£1I1
/ht6-U 4,.)();eI,n.S
(J(p .tva.fM.~ 4)4101 et.e..tfa..l.e
ceb'rd,·na,t:e..t IVltwtt'11tU.. ~ (e'JO()/A-tt'e!ul1d"e
A.eale...d
~ut /(lucien.J>SI
../t'ert'h 4)rndt dR Mt:U:lAdt. 'fJc("~
Il-~
7F19lL
-
2.11-lll1erPtJ{Q.,/t'e
~n"Ue
..(,,.;Au ,,,"
t
S tl/jeleflerdw()rdt b~ -Un ()j4bede"iU
I"ut
"10 ~~WOAA4!l cjffelijk IUd ,e~U4
Ju/:'rt:>r.dihe
fVJfJT/(X
f-t!-ftJ.u
fotale /J-fel"d
~'l'f.UUre
/fIe"ge9'ki"1eJ?
"14 dotH (,IC()r..elk 1t.Jtiot?t!ur 4I1tJol"f'ttJ1t IX4.le"1.et,k"itf
(3,3).-ua-kt
~()ldfle''J'a!
Ct!
hejOa./elJ,7Jt't b.efei:e"t
da..-t AJt'();-dJ
JIt()()Yl'unt~ dem~lIfkh
/ld}eIoJObt /J'noUei1 MJorde" wttWl~~' -tIt'()r
..eLf
~a
"t~'tlra'1~n
/(Jan ttL.JpkJL
~/!lcoJ',Pude~ (~d ~itdt()re"tI~
4ider;o()fa,{te
ful1
dt.eA) .-Ierelcelfd~('X'del'1.
2
fit
(;(eJU6R~dd
I)/an 4)()rclen
~u
'leeM,yt"eL.lo
g.e.
M-':JQm6
J
I!Ud~
./ad.
j.€pcui,'6lontirde
~dod
(.-1/1
(3.'f{)~e
.J.a
"tJo#~r11a.;).
ZJtt
Jeb~urt ~
dL~R1elle~
AAiiZ',f£~ ~~
tiS.
VOIJr
k
4e,,~ ~n ~ ~fdrtAge"
()(lenA t'1'lt/.e.l7.4c.AeldJ"m44-l-t
Ie
4,vordel1 ttvJ.Jbt tU.!e(.)4ftt~ t.va.~4/"
.Ja..u.
I:lU>Orl'u'tt
[I(
tct
~ ,(,eodtou""de ~ .4elt()~N·t ~
&U'1eIlJte..,
tvaeuc·,.
1
k
n/ei bfJ.lu
.de~
.-Ity.
lJit..(:
fl."".
tlRb,,t,erl£l1dJz. ~t"IaA../t~'ten ~ tU. Mot'ttJlrukldllf.gen 1I()()r t:U.
jul1dtlWl.enfele (J/O{()?Ot'hi'
ZJ.e
.M:Je",ft-e"/i! tiel&,~a#1
dL-
2.12--
SMI".
SIJ/3t11
:
4",aJt
8I.L,tijdret1eVl
AvahnLU-Zk l1l'e-t ojC
J.u
--I~Ch()tu.Jd~ ~It'Jt,
- Subr. SIJ/3M~
.'
1e,adt
de4jdrarQit
wa,,1/.Ut
IXsvd
01' ~ 4e-och()~'o)de ~LtJf,
- !Ubr.fiSSfn
:
(M)/J~tJ1b tart tit ~erele~dL ~fdfAge"AMi
Stl8f111
1UfJ. SClJ3t12 ~4r.d
tolah
I)tdoel
lIet
tltl4fJ~
I t F t ' tI,ut/le""
tv~aA
JH..t..t tQ-tfdrCt
,~n
ltumUt'eJc4epa.dd 4'J4befen {,J()rdtl1 I hJl;I'df -1J~f'Jlhfe!d (11'4nlceli~""a.,
c1.e
tV/,)
tatfd -1/0.., 4:.fltP0I'Jf'(ud Ik t,,f ~eI ~d. J)et ,~b.eu,t~ /Xlb;()u.(tJ'lI! /VP6rA. II.trdl'r wordl'11 de ~a.l1,t~f"tPt>t/,eQ'11
~ ote ~ ter,:d{e~unte/l ~ 11~«tJ 4J()(Jr 4-uJ,'f)(,(,t,'It€ Stl13171 I ~4"
Ie IItH€Y/ ( d.w.]z. lJOfH(ittt tie
.k
()lI~'
de~~& .1'lo~l'l'u",f~".,
-Van .an ~el'd
..6ejtl'tt)
4.epa.Jd
~ 4lAbrouflir~6'A'6tl.
/lJ1.
6.
v..4~t ./~(lelt~/aan'~
-'atf tJtt. Ojt'bOUtv -'tIa.., 4U/',.. nIJTR,(A.). ?'O~do ~
dJoL
ahll~~t .worde", 4.J~~r7ej~v~n:~,
IK::1 }ttl! 1 ..(Anid Nk~t1t'h.
fpr
IE::: '1S4el!
-1 Ml'ltd NI4tJ~
("
C11/t !YP6(fl>
~.
i/-
(II(f/
IE)t/'.e1l
<'
CAl' 6A'6rJ>.:
-/.!r
ILk::
1 Yfte 1 ,ul'ttll NLk1!iih
if-
(IXI
It)IARn
({~IL
S{/SI71>
.dse
(CI9/' IlIDI7;>~.-
2.13-~ubr()uJ.I;'€
N
PG
(R
a;j,ank~~'k
lItllf de~fa"tt
/(J4.-.k
~lIo"J'jPunt
Tk colAd
",.,dddel1 lIttl1 J,et .deme",i 4r;a./iWel", de -IJjd,a7en 4el'441d 1M'"
Mo,.de",I M()rdt Jet MI7itt! ,M.jtef'a-tt'ej<Ju"te"
gei:o~e".
Jk
af"ta.,d
A1)()rd( g./!l1tJ7.mu,.d "I' dt.. k,.,Jt~ /fIa", ~et .ete-eNt flDljel'lA:
II
'oIIr -
lIE
II
e(IE)
M
~meltl-ed
MIHcte", de uuf9bldRIf
~ 1.5" (J/a", 1.'S ( I( ~ 5.5dan
5".5 \R
clo
Y1 Crt'tert'a.. ybnu'it: , ··t'nft'7ra.tl'ej""ntt'lt it ",v;, lertU/~ !,lude", ~ A~/era.h~funten.J"
~"rOu.tlhe
GI?
6
~
If,vortU,, /I/o", de .('" 4Ubr. Nf>6rJj~l',uJd~
~(eftM't'€ fJUI1:ten dt -ufet-a",te tt#Dfj,ed~1f 6~rel:e"d nodi: -t/I1"r
(0.4.) ~b', Sf/~f7J. ~ t~ lVet~n.
!f(l)
6G(I)
d~
arla,,".-oo...
k",oor,PuYlC IIr CDt .,/,.et I-de,,'('11f.erM,.e
/"C/".t
t>~ -eLe.m~""t IE.tI.e
tvaWtc/.t. -1.Ia.., deJ~{'o
i.tafll?J
(dV:~
J
ds )~
ZJI?
(I,
Ie)
.'
tie altdet.'de /ht<t:tr de IC- de Coe;rd/ltQA.t-1.Jtln tJle0/":1
ta*fa I? .4.1,..t
et I-de '("Il'f7a,tt'eI'~l'It,J)){ (II lC) lie ivIJ.CiAdt ~a"1 M ~
kec'tk
/'4/tenn/')mIlJ ~tit! Ie-de COO~d(·J1aA.1rlel,tlhff/{fl'1
Jet I-tie
.A';,lej't~tlejOlutt,~ I,et
r-
de
i~de11atl~f'U",t,
fpor
tI~;z~ ~dt
het/en
~an
.let
A,)~/ft!,,4L
1e,cJ,relle/f tvvdt'n.'t ())
=/I
....1 fr) - ...Y
II
X(s)= ~ (IJI.k
rs)
XLit~ Lk ~ ~
J
If
(z) Ie 6~/,4/en "h7~ts=
S6(':Ij~)==
<:
cJS L.. Lk66
(.7)Ie
.6ejOAIl'~
"", et !:: SG(Z) or(sJ-o
Xj
X·(r) -y.
'J jrf»
<) Lk LlIX,.
(rJ;- L..Ck
(r;)tty'
J Lk.tJ~I
(sJ/J
/)2 (s) ~ - 0'(s)
1)N
(~l)
Ie
/;~jOa/l'n
/hrUs=
SG(Z)J
J)/(l)N (Z)
Ie~/e~
/h1e-t ~::S6
(I)- 2.
/5-J).e
tvaA/Lden Ala", de-tlca...&
OPc',.t:J,/na.cd. ,.e.., tie~ t~rI'D'«t'e
ju,,(,t(~ /lI~()r
bOtJen/1ftUinUb.e
rekblt'111
ell1'l.f'
"lee~ ~
'1Uh'otdl'lI-€ INTINT
-l1a.4N/e12.et
..e".,k'om~"1 ajJza'?kelj'h
fltU,),d
~ ~u"r,
NfJ6rA.~-tk()Jlen
t:Ulifta.l~
lettfut'e punlen9~ha.JdA-t)f!)rdRn ...w.'t- de etrraep
S'
6 ~ %1 P ~n l),(ZP.flf
lj ::
J
fllf
(IT»
y(Lk
dV'"
=
VA'l'E I
Iflh (/:
r(s))
II/TlklsJ
JIsJds
=
L
11E;i/Jz)
II/tIl)
7(II) kI(II)_I J Tt
rz
I'It
;r
<:) IJ.I<
J
L..
BE,!"
(zI)Jf
(Ir) (Tl) W(IZ)IE u.
U.R
()I'b()/,(~
-va .. 4u/'routt'lfeJ
IJ13111
4~'au.f!bt
(/OU4t1ute
~ 4()!YIn,tdt.'e Oller d~ M.1 t~t"a,Ue..l'll",te~ .van &le...h, -1u",,,t.ltiJt~
TNTINT,
#1>6(1 ~h6RGm
JlaAr'lt'<et-~ !,.,,()th~tf€'l1.2./6
-)n
~ubr(!)",tt';,e
S
!lfjn.2
w()rdeJIIcI~'U /'~'dra
tje...j,e"eke~d. ~t:'(),..
AN/Anneer4M
J..'t~Ol"pu",t
IX tot..lei
.dRJn~l'f.t
I f-tt!J~ort. ~
aMgella.l "/ttnneH d~ .,inferaifde" na.ar oni!t"J1a'J ~at:(n V/Vllteer
~d
,bunt IIr1ena.d~rct
t.)()rdf,1 "il'111)1Rrl:(J
(f)
lIoor
!3if
(!,!.
TI<)9t/dt
(Ka.td~ ~ t~rf'()lcd,'e
IlJhCh'e~
]LI<(!) :=tf
(r)" voor I}(.:f TT{),P (IE" lDr).l),t
),()udt
'h dtd
fJt~k
(,5) -4- () (joor! -
!
rk .7/1
dM1~1/41
""Ljlt
~d
frockc.tElf'
>erikh€Jfe1ZOd
~11
lall1
nl4m,r,~k
9"'bd~~r~~rd wprde~
door s!aJ1dao.,c/9'tiU/Y.J -
lwatJIrattwr"'~
te ,Pcwo.el'l.lIo
o r lk:= rroP(IE"Iik)4,()1t
de Ai. fe7ra41 /Ht'et udt"3tr~eJ", bel'tlJdIe
lVDrde",,, h14.0rka.,
""bot delleArid/reef. bel'4.le~ u,'t tie ~ tied "'1farre
It'c'tl4b1;;)p'rjDLaaf-'7t'117~11 t~ b.b:Jchrj"v~11 /?'11o.e'~n
':l.j"".
/-lerl/()()r 4)(j"dt 4/erloVtJ;.el1Itaar
Je-t
.J..()()ld
oerola.;.Vo~r
fir
(;5,
!lIr) tvo,dttt~
...htleftA"Id of':J.R4f'It'ht~
ee",
/(L~ier
dee.I"0-t.!
Ic.e
/Wl.Uf
~
-
4tvt:...dAtfI..[4""1"1~ii-t
1l''Jreerd /v()7..dt, ~ ~ ~iuti~r cled..va..,
CU (/()rm ..I
J
-1.
fi)
It1<) 171<
o
4vdi~ ~.ell'lte'l,.eerd MJc-Ydt -md ~ I1U.me,.lelc
ttI'brt't"'e
q.e
btVu!erd <'10 ~ 0am"". Schmidt dlt-ItoJDI1Jt'--J4t/l?jOroU?/)'nU ../t;Ja[t'fh1t~el,e w~e'j/um:tte.
!I(JiJr Cle'<.€
o~jO(d{)('~
/lJa", ttR .foJlVtt'fl11l/:>cJ..e ier", tvtndt;(;erw.e~e" na.a~ /7~I'.eM{/KZJ A.ui !Jet .-Ioo!tfo.enla.j'
/J/1d
AeitJjO /t/a-J.u.
A~(.J~""'"
laAn.dL -bt gel1ai?ntde. tJr.j4l'en(/lX4orn-t
CI~
"/4b~(,(e-v
-val?~
(j/J1l2
.er /)clt..R,,,,,a1t4e~
at!flol'Jf u;tI~ ,<t'~I1.'
pr
II::: 1 rll'n, 1 -1,01/// NINT4e~ <' 4~jda.c...t ~ijd'tlle ,pa".., II-tie ~t~t'ULt(e~ul'da..a ...
(jE(J;;)
~ lUi"" UjuL,ere d.-u1 ~cv, 11£ (~l) -voor ~ 9~61'ed
-Va", S:: -I
tot
aa.11 S:: ~~l~d>
oJ'( {de"", {JOO;- 9.ebieti -pan S:: )'f/'''j
tot
a.a", !:: 1>
.end '
_ _ J
p r JI:: -t 'S/~f!.... -1 An,NI
b
-1eJti-t ( ..t.el'aa1 de
bfdl"tt1e
4JtJe-t
II-de Al1.lefliLfl'e.!'U",t-va" de .IoJAAilwlt'ocl,12 term
!JZ
{T,J} ()/>t>r Jeff
e /'(e4-114+t S:: -I
tot
a.a"
f=
r
ft'Jr;> ,,'
-
2.18-Subroutine
fI
55
En
~.bl""utlne
!l))fl1~~m
blurt
die .inS
!l8nt
U4fJ. Stl/J/J 2..,{,ejOaALdL ~~·dra.9€J1 IlE(~l)..en /3£(1;J) ~
..Jr..u
loft:de /Ptel"..eI
/fItrteljlct'J11en.
I l11atrcxdl
-A11 rec,l••te,.Lle{ 1fJ.!./lcor
liE
(1;/)6d~k€l'tt
d,e "
-
wal1~r
de~fJam"'7
--1';,J.u
ILk- de .J/lffJOl'l'un.t..poor7IJ4cJ",ev~11
~ ~ de
J-
de cooldc'n44.-frt·chfin? dt1~ t,)IJ,-dfliE
(1;/) vermen'1-VtddtJd.-met de voor9b'Jchreven /JjOQnn/llj I{)~~tvf)~~d ~a... tU( (£1(-1)JfN V of z)
f
(CM"On~lf.t Va,.,k
"UclcteJl'fld..101,
- ttvann.P.er
cU..
vel'jPll4t<.t/Ji'''j
4"Iu
Ii k- de l:nfJ0l'ful<f.t "",..;
r1.e [-de CO()rdlna.t<.(-rt,·e-4tt'i7J voor1-€/,)c/'reye~ ~, dt:t"1 'VIJrdt"I9E
(1;/)nti.q,. J,et
ltJ1Jer{t'(;{ 'jeJ.,,.acl.t, ~ nu.d- -UYt -mt'h-tekR#'l
to.,etlo-e~d
aCiIo1 cI.e.r-ote
/Pt4..t",'xrR
-t>trl'leM:tR((Zk-I)-IfNV+I,
(I61r~;)if)lVf
J}::=fIi{---J -
i1r(J;/)~
l6k=
ITOfJ(I~[Lk)En {/oor
13£
(~l) 4el-.eJe~t((/1.-- at,
ttL 'fJ~~!a.&d/)t'nJ~J.u.
ZLk-cl~ )uloo'pl'l.ud v~rre/')clt"'vel1i, """ cU
I-de
Co(),diJola.4-f;t'cldlJtj
dart e,;o,df IJE(~l)tJ.frI1lB"uJvuldt'jd /I?1Lt tI.e ()t'or1~clt/~v~,. 41a4Ad.o. nat:l,
let
uekterLt'ti
t.e6ra.c/'
t" ~ hI1.U -a... .-mtlt - tek-i'#f (.(jt!i.ev~c{ aa", de ( (Ik-I),f/VVf- I) $ fA>hipDJ1ent ()Q., If/{:lUI
((rk-I)*NVfI)=
IfH("-~--)-
8E(I~1)~ I/S((I6k-I)K-NV,,"!)- a.h
tJU. /J14a.nn.iitj ~J.u
ILk -de ~DtJ/,~U>t.t'(h tI.e fd~ N(~flJt~ V()t>rJ.l/Jc/'r~v~/1l ~,eta",
4vDrdf:/JE
(1;1)
tot!7I!PtJt!'jdClaJ1 de
rete
/Tn~tN.'xtJ<
.-tR
({lk'I)~NVfr, (l6k-l)jNV~7)
=-
eRr.·- )
+J3t(l~l)
U¥l4ktfed(e"~11
coinot
d~
bfjc/"~1el1 ~'"
$f(~l)
boerIIr:l IToP(I~ZLk) aOl1 t:U d{~70h4.~ t~rlherl (Iff= IToP(IE, ILk))
Ai, 1_t_"~bttJzj JebtJc~f t~ f.V(prdell1 d~()r 8E([;1) :
- -vt>or<leJ? ~.., JU.". .-rnin- t~k~n foe Ie (,)ve~..,aa.... de "ole
,",-M-rlX
VeJ(7el1$ :rR
((Ik-I)lo/V-fI,(I/(-I)~NV
fJ):::
rR (-- ... ) -
8
E(1;
l)
"lvaJ1n.RPr de 'JjOarll,c'hJ
.-r.-n
.J..u
ILk· de !c/ll.tX>jt?/OUI1.'i ~~ ctrJ1-
tit.Coordc';za&vtdcldt, --v()t:>r7e-3clzrev~" ~,
tc>e
'Ie
{/()~Je"" aa",
J.u
udr.terlt'd
;fIottJbfA.'flH
((Ik·I)~NVf-I) :::INI (--_._-)
-+
Bf(l;l).Jf
t1S((Ik-I)~,vV+l)4vanl1ePr dR vt,
plaA.t{)t'nJ
/(/"()Y7~cl"evl'Y1 0 ~W
ILk-tiLknc"YI'l('!-t
,j" deJ-
d~
Ct>ortJ.iJ1tJ.tt-fr,'l.A
''''''3'
~'.Rmerlt..t
alentJ,,('erb~'
Ie1V(),.d~"
da..t dee:rutt!
MU"K~
.4,.{jr
aa~f~~lIb1
a...h
..e&t t4Jee-at'i?'le~t'o'i1.a.J
arrtlt:jfit
(~l),-~
-4..d
fJropmwtCA..()~~R/Jlct.~ ~ ~
-a"", u",· dt'hfRn4i'OlltUJarretJ ~ (7) ~ -en-, eLi! ,.e/'et<'jeYl uu'WJttl .2.cJ ~'t:t';;'t- l'WIo,~UjIc
Ie
,e~rUt·I:r;n.!Jt:t
b.-etet-l'"-i- da..t-..e&1If'tbt,t (JfZ;l)
t:>J-9.e~/Qre'1~
op cLefJ
UUI.,ts~
((/-1)
~
NYfAl/(+
~
) ,
fubfoutiJ1~
SOLVE
~'d
4t.u
~ ~/,tt!Ju..tt'n~
MllrliX
- 2.
2()-4 /)u~,.
f?
ES
VB
..e", plt:udrt dU ~ettdL -b1 uoor1R4a,rev~/JpaVlnt'hqt., ..L11
tier
JO{4.~/)i"?~h
,J
n()"r;oulf.t~
,e4J'f
-t~.
d
iMr b.,ole ancvp T( I) ~H UrI) m1.1,.v.
4tihr. REf/lIf.
7)..(
!fJe1erMte
oj<>!o'X)(nr/W1eCh()t!.e"t~tl:Ud
/U/:t
C~ut-de
Ct7Wt/,o-:Jti
leo
/1'Y'l..d jOM-.tlJ ,10//11)I("j'
f~6
lett!il1e?JE(
0/1
~or~t ()()/),. ele deCoW) jOo?/tte .-tal'! de /n1t:vtrt'x ~n ~ ~J".
/I
fStI.B
Avou{f tiocn """"'"ddel .-ttaJol (eru1"u.I;VJi/tutt"e de 0,,1,"4-'-,,/ -va.,~d
") f.ehd
hepa.a.ld.
S
Ub/&ati'te/(/VPSP 4ottken-t
ttL UMtJ"(Nl.ede" .-van dL C$udy
-S)4~I1Jt/ltf"mtUnk M1 tU. -I~oJ"fJu"..tt'#1. ~p de 1'dlld.
1/1. 6.
v. dt.i'/V>t' f'dr. 3.
t
-1.Ia ..k
.-J.,,~d
tlen!t<.J~(;hrev~#r
41//
~~
/
4..Iordt-J{~"I/D/)r
.J..d
tl04t!'J1~ ~v~l'HCt-
9w04d:
~t>;o
atU~H-tl'n
I'la..../o"r
pt!T~
a.t&.4kdh
~nbt!>rl"uJl'''
114-.1fk
0/
'/"dojIJ"~,,t
'lUtt-1 CiA" cU6~'d
e?ielUl!lJAt
~o
ja.
,()ietlt I'U.tPt vDl?elltU.I~~()f',u"t
:lo ~, c1a.,,:
bepaJ
de ~lcah hA?l4.b.ltd
1""~.P1'1l"fb"jOaAI
«.e
">JfJet,,'II'''?/,)n,rdrtX il',v, tI,:lt! .b4M4-
2.21-"
II II " I, 16-4'e II T6-d~ fl'6nl1 (76, ~ 2Jkat
~J
" " S161711 (r6, R,~)kd~y
" f/61711 (16,2,1) lev«!ciz~
..
ZJ~
,teI'e~
MIdQA.~"
M!D,.db.~j'J'
tMla1
e-tr Mt-'.vt
d/VI.~
rIGl71'1 ('.lu, 7,
T)
4tIaewJ.,~·1et:tt:
5rGn19 (76, I,;)
4el/4i
~.r Ail fu,t .76 -t71 f1o/'eth ~1t~rf'ttld 76 . tt~ It ".-t:
t.
/I. Allalcl(~ rek ...em ck A.Jerf'{~~l'Jt·'1r~"" .til ~ ")djlt,evelt'#' t.Jen~t'"Iudell.
lJt-t
9~heu,.t
Of'
t4.~ fJIU~,'aaj
J.~
M2n..kJt
-Joo!dlle,')(at
~eoe-h,e(,le"" /tN~,kwij'U. /I()~r.elk ~ ~tt<f I'u",t dt·~""11 ~,
~ Cit,
,a!eH
~v~r IX.£ ranei 6.erei:.el'lclte.
wordt'J't.4?zd
tU.~RJti<W ~J1 ~r ~ 9~tUdti
4~",,,utt~
-1011
a.t ()/"6,,uIV·1Hil'l 4u6rou,tt'ne 7NWP .{)c.A.emet.ti-:Jch WUr9~'jt*lIeJr h)orele", ah :
AJ~D'
.£Ii
~ wenck? lJud~t>;o
aM
~den Itt:?:bejOaa.,f A/pcr
eli-
.de-ted<:
~
a.ttn!aL
kOcU1tU
~ tt!""ttft~
lJunten /J1?t.
v. ~tl'()ut/ne ;f,P6~>
<:' dR bel'1odi!tl.e ~ IP?",tJdiR ftl?oth~tle1'l
-
2.22-<
tU ~fdrtH/~~ 4JtUt1d
.ekwtlwt aa" olt-4.Je,/OLa.tU-o('''9fH .".;.Aet
M. tv4~dl''1e f'UI/f t4'H.J,.v. I)UJ:"out/ne U1NW>
~ (j~ 6~'dn:t'gel1 /V4~ ~ ~ tUln Ole.
"1/.:Jcu1i1,·nfen J1I.by. 4uj,ro(.(fine TINW>
COm /,,,'nAt,e .-tItll1 ,il'lw-btdl~ fleO'f,t ei1. 4k.me~t, d. /II'J. J'. '1U(hleN'eJR
~tef'lM'~
de~okmmaL,(u-,
Pe
b.Ee
1.RAp~c./;(~lIel.iilt
oU /h14,:t,iCtkJ 1)e ~n Ie" 12oaL., ete~t'
>t.'i'"
9~,#,en ~.(Ie''J~l.jlct·'1
(3.~.,
) 'U4J". (3.~8)
AlAIt.J.u
--'''1dper-olllf~ 41~1~n ~et,ze {,~·d,.agen Ot,)e,.~;'f kt>~-o
t"
to(/. Qa",e:u
~eYl'taa,t~l'''9bf ~JO' tU 4pan'lt'''tgen ~ ~ Mtwtnd{1~
I"UlI.t.
Jh at
/J4(1;"DU.t/l1~
A.1J"rd-t9~CDI'I.t:ro
fUN( b,IO &t. 0JOtrl'U'IrU./t
ndel1. I ~oa,hhY
,/z.u tt.efL1t doo' nuL e.d,Wa""u.r
er A'.eN de-r-~.et;·bo CJO ~,Pud ~ad te 9~6eurel1 .e:w'alt ~ordt ell "ew.{4~~/(':Zrl1Ji ~JoI -tva.~rdL
-t7YI9
eljk
Itul t()~1elee"'d LI"f "c)(),dt t~ru11e1jOrtJn'1t'h
n~;
-let~oldl"rDraml'nlt.
1ItJ"
d~4-luif AtJI7e:H-da~
'7ul,"fJedille EIfNol( tU'JI 9~'~~1I. ])~U
4cJr',lf
t:U £VitA.~ ,.e,a.,IFI9IL I"11ttar tU ~'!-()()erll~~ ~44/1J1A ~ l"O~'1a"MtI A4)/)u(t"
"aintli!
ct
ill
oU /111om.eda.ne 4/er"Jt'~ -V~I ~()r,
t /).fAI:>rfJdc'"e Otl7JOur ~ A.v~~ cJ,,~'tI"J1va,.,
eU /)jO~UIA.i111
pI-Pe",
~ AJer,.14M~ 'IeI'!'Y)aa,. dL AUtIlt>erf'le. [vena.£,
6fj
~
j,'C'JU!:/1t(? IA/fJtlT Tl41 tUJu..--'Jub"ctdt'l1e -u? dte .-ud.ebzdet;j'lce ,perue t:t41'f 7.ej900/1
t
-ft)f)rd~n. ",.,.de ~t(/().er
t
o€7
QJ'ltetjlc t~ -11ta.4-~11 4l~Dr ~""!u elL-
3.1-flOOFDSTUK
3
fueH~ ~
!7"JralflMA73EI7. FTN,
ktaa-t
#8{17. rlN
AWt
~
-4.{)1
djO rOrarnmt4. -va" wt:tl!iA.tUt~cA//leJtdL
4-uhrQtvt/l7~
CUlY1geY().ep~;r
wtHdel1.(fr,
J. {)lIet
~eltded
41avrd~~.e
rOLl.-ft'ne-:J
4:o~
""eru;,~ OU~ (,,)dJ~ ~ liEn.
FTAI""r
9~bru('kt
.
5'tthr~ut/ne
AlIIVPtlT
4rl
tUM{/~r'l~7ell~;v.)
",e;,~
lwei?
door eM~brut'ker
attn 1e/eu.erdL/c'fu.
f~n
leu
~
dtL:uvt6~
de3.2
-tU A-dtoob.pl.t
"'an.Jd
p'Or(U1'lm~ 73E17. FTA/ J'1
tiL ~(/tXr/tU
4/4" fl/8ll7. FTN Aai~ ()();"'1~
aa"ffJ'JO.Mer"'d
tVoreU~ ~ant~ ae:dd I ~ name de ~ A.er~J~nGu
tand,n"t/'erl"""
4th tJ<.t
~()"p"'zte"
I .-.,,;,9e&Jx.en.
tit,
tt<Je~~
,il1vlJt,,h'k cUt,,1fu""ten.
NIIVWE
~ ctaMii'l IlL A·Iv/t!l.l1'Iwt/~ ove, au 9.eweW?t~ ..i,.w~",dt'1~
!lti
d~u
f'Lt
..w,ruU AM1deun.'Qa,l'I;tal .extra. AMtv~l1di9t!. !"ud~l1.
C/fl)K (1, IC)
{Junt.
tip
tU -Uvrte «'tjel .va", eu/t'tL
a{eM- tit MJaa,.eU AJa... /(fIlWEie -?taan. lJe daeu.op lI~eJ1(!L (!Y'>t/lVE)- 't.eg
e/s
kl/4.ftt'1? ,Pt',~e1 I, C!PDk(7, -:f), C/fJ)k ('7,2).
Wtll1MU
ah
Uoor6ee1d -'Wee,...Au
..v~l.-3rahn.in'r,J:7rol'/e£1Yl
Mi-t~/ttJt.
2.~.en()nult w~t" l(.AJaUAb~· ~/~",d(i! ,elV~ifd
t M~tJe,
de,.(,i"w~nd{l~ ~u.~teJ1 (tJ.~, o.~) ~ (O.r'1 - o.s) (.to" A,,') tXR. ..ext,~ .blloel"~ f/~ /fJa", de {/orm:
1'1I DS.J ".'S
4J, tJ.r J -O.t;
t6l'OldihE" ,fOtlTf