De didactiek van het programmeren

(1)

De didactiek van het programmeren

Citation for published version (APA):

Kaldewaij, A. (1984). De didactiek van het programmeren. Technische Hogeschool Eindhoven.

Document status and date: Gepubliceerd: 01/01/1984

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.

(2)

voor

leraren .

De dida.cbiek. va.n

hel:.

drs A. \<o

ldewa.j

Ondero~delih9

der-

'vJi!»lcu.,de en

Jn~or.,.,o.~ic.~

Tedn,;.roche

\.ioCje6chool

Eindhoven

(3)

-Jnhol4.d

o. Voorlc)oor.d

t. :l11~orMto.bicca. 1.., d~ ootderl:7o1Aiol t.1 'lllltitlil'19

0

t.2 De l,u:~d•,e. <!ila~G.bie iot ch ol'1dt!rbow.w

l.i

Ee"

:;Fi"'vo\1~

'"""lli"''

vo.11 ~-~ i..,For-..~J,ieA

O\lu:lew-lo,ljt. i>~ de o"de.,l,ow.~

2. f>yo9f4~t.IOoeren .a.1 Dotl•hlli..,~e~'~

2.-:t l>e be'ii"'\.ocd:o .. d .to."' cle \eerli,..9e" 2.1o Pe opJet:: va.11

ee."

Ol'\de.,.l,)~'f'ogro...'H ... a. 2.4 PYopo•il:ierek.e.,.;.,~ 4t,. P"edic.Ate .. re\c.e.~oti~tj .2. ~ S:1ottO.X e... 6e'l'IA'IJ::ielc.. 110.11 f1'09~0.1M ... I!'I '6

.tG.i "J.,)eidi"'9 , j:~.<.,el:io .. cde s peci l?ic.cd:t·e~

:l."'.2 l>e t:oek.e~o"' i"'~pop d ra..c.\.~

~ .s-. 3 be co.,e~l::e..,abje

2.5"'.4 De c.elec.l:ie e..., \,et sk'-p stote ... e .. t:

:z.~.5' De repel:itle

2.6

1-tet

O"'tiJ~\"fCI"' Vtl.., pf'o~ofa. ... o•~

s.l:..1 :J, lei J.;.,.~ I 8 10 1.2. ;zo 3t 8S

(4)

,-1

Bit'IJ~el? 1'11.1 e)'J ettkele joren IJord~ i..,fol'"io).,a~ic.o.. een ver-plichl:- vok in

de

ol'lderbokk> VO.h

hel:-

voorl::9e.zel: ottde.,..u~!> el-J ee'-'1

ke ....

~e.vo..k In

de

bove.,ko'-"'-> vo...

he!::

vood:9e2et o ... denJ5~.

0101

do.:.e" be..,

'VOOY te

beY'ei.de..,

op he!; o11de .... c.~~~ i~ de itl. fo,.ll1o.tico.. worde~n

De

de

Ol'l dt>t'ho.vi

'3e

c~.<.r&w~ ,·~

didttd tek ( de ku.n-sl::

prof3rO.tl'l...,ere:t'l o.o."" de o,..de. .

'Zo '11 na.~choli...,~5CI.<.r'"~k."t>. )..j iet-i.., ko .... l:

v'o.l'! he!:

o.,derticht:-e ... )

vo...,

heJ:;

t-lee

2 wa.o..f'

te.pv."

1:; vo..~n de ew.ns I.(.~ I

i9

t

o

p

he t

p

roj ro..kt

Jt...ee...-_

Ol'l der£J9~ zoo.l~ dol::: ~e,eve...,

'l!ow..

b..c.~hel1 wa,.de.-, i.,

de

bove..,_ bo"'w va..-, hct voorl:tJezel:: o ... de.fiJ~~ e.-, ik de eers.te

-stt..tdieia.re...,

VGlV?

het:

hot3er

be.,..ol'p'o"den..I~S. Po.a.r11a.a.-s~ wo,..dt-

e""i'e

ct.a.,..,_ d.o.c.h~ be<S!;eed o.a..,

het;

info,.~J.,abca.o ... der~o~·~~ ;.,

de

o""de..-\oo~.<.I.J .

.be~e Ct.4rSK'!I -sh ... i t a.a.~o-~ b~ de V'la.ic.\,oli...,9sG~.<.rsw~ '' pro,jra....,,ere .... '~

V{}.Y~

de.. el.(r"i-!.1:

IJordl:

verua.chf;

do.f:

hj

bekend i.- mel::- c::le ba.6isbe~rippel') e<n ba.si~!-eehtu·ek_e..., vcu-, hel- }'~"01ra.,....,e,..e...., , ?oob

b~voorbeeld hel= l:oepc:t!oSe)?

va."'

de invd.do....,~ie stelli<n~ b~ hel:-o..,b.o~erpe" YO...,

een

o.lgori

t

me.

Dil: dicto.o.t \:H:<~~ta.o.l: uil:: Vlol::i~ieb t3eloa.•ee,..d. op cle i..,:ai.c\.tl::e.,..

d.i(!! de a."l:ew..r- ve,t.Jot·"./t."'> 'heeH· \::.ij he!: o"'.deru9 ,e..., vet..., LJi~kt.( .. de e.., va...., p.,..o~Ya...,..~yoe,.e ...

t-t1

fe"' .... a.t.l-.ode vo., p.,..o,ro. ... ,.c ...

Ed!>~e.,. \V. Dgk.•l>vo. e.., \J.H.]· Fe!;ek , At:ttd~ ... ,., -6eyviee 1''8"1 I~ lhl

'o

62.33 •.d 9.

(5)

1 boor

de

en•cheae.)

~.1...0.

(

Gtich\:in~

voor de.

· Wol"'de.¥~ voor he\; in ~or,..,o.l:: i CQ..onde,.-&J ~:s 9e~eve11

o..o.n

de

voiC3el"'de doei<S !.elli n ~ eV"!

1. lel"'en Oll.o

9

O...G\n

""el:

~e'}eve,....s.

%. leI"' I! t'\ f'YA

k.f:.

i~C.

h

o~~O..O..l-1 ~eb ~e~e""e...,-sve ,-wer

ke...,de

~y .s te"YYe."l.

~. . heb kenl?i~

ne: ~e"'

Vtl. 11

de

_t.

o

_e.

p"'--s.>

i

"'3

c.-,

va. ....

4e

i¥~

tol"'•·•o...t

ie-t:ech...,olo~ie.

4. heb ker~..,i~'heme:.., va...., e,.., ini!icht vef'IJef"ve.,., L..., cle

,.,..,aa.·L

sc.~a.pre

ly

k.e

9evol~e

... va~tt

.de.

i., fot""'o~ietec..'-'.,olo~ie.

i..,z;c)..f:: ih de bo.<&ispl"'i,.,c(pe.s

;. het::

Oht~ik.lc.elen va.n

<je~eveM.ve'l"~e,...ke ....

de

sy~l:.e,..,e¥~ door

Dit

a..

hee

Ol'ltwik.lc.elen va"'

e..ige

v<to.l"'cl~9hekd in prol:.leetr~a.tto.l~&e

b.

en heb

pro 9 r

,o..,,.,

ef'en .

otd:.ui k

ke len

l'hodellen en denk.&Jj2e.., die he.t l'ho~e~k

mo.ken c:lde'l. LH4o.l= l::e

90-0...,

rne'=. th te denk..e.¥1 oveY"

<3e~eve.,.,verw er k.en de

o,.,der&J~!>

•to.o.t.

~o~~~o~e..,lee\ l1g8~t)

Nb (I , , l'ul I

a.u~e.-i..., t"OI"....,.O.Cico.. . •·•en -s~e t::

door 11

i"' fortHa.tie. kwttde." .

ho9 be\c.e,..,d o .... c::le ('"' de

(6)

3 Op ee_.,

<3rool:: Q.o.nl:. a. I scl-.ol•"" lo10"' d t: 'feeds i..,f.o.-.,..o.l:ico.- o ... de.-t.J'.:i 9e9ever~ De 1,) ~ l't! t.J~O.f"Op .di!:; ~ebeuf"t i ' w111ek. ;., hat o ... der~.~J~"'·

Rede..,en hierva..,

..

~, o,.,der ~eer :

-

O,de~" drv.k V'Q.n c:le I'Yied~o.. de ove·r'het:d, \,el:' sc.~oolbesb.c.Yr e., het l::er141jlope.,d Q.a..,ta.l \ee,.linje"" huH ~eHi~e "'-id.delbc:He Sc.hool Of'pa.ra.l::14141" 0..0..,~~-sc.ha.~l:. Oln ?0 11-'!>c:hoo\ \ootet: de c.o..,ptAI:.£'>'1'

te LJorde~'~.

'JO..t:

Q.O.l1 ondenJ~'$ word!: ~e9ever? e.h op ~Vell<.e w52e cla.l:: woy"dt ~.e.d.o.o.n i~ Va\"1 a.)ei"'i9 hela."'9; ols \-,et: ...,a.a.r

word I:

-

Vee

I

\eey

hoeke11

en d i c.

t:

o..ten Z~n

9e1oc.hyeve..,

b~ ee"' bepa.o.ld

n-terk

W\ic roC.OWI

f'

tAI:ef' e,., vo""""'en niel: vee\ W~eer

do. ....

~e" ho~d

le~-d.~.,

9

U~tle9 9ebe~o.~rl::. Q..Qh de ha. ... d va ... w Q.dr" ne..., i 11 ~e,., (

11

W~at 2ie

je

o\s

_{je op}

~&.TURN dr14kl:. ~ • ) tn V'oor b eelden.

- Doc.enl:en niet- over dt.

j..,

i$te ke.,11 i6 .

.de d.o,ent.e., heeh pro,.,.a.. lo-tll'l '2e-r e.r"'o."'i"j

d.e 5LG.~ l::e ~jO.O.II'I, ~..~a l-.ol:.l...!# 'i:t..-,e , <J.O*~ op ver:!oek vo.Y>

wa.o..Yop de do'-e.""t: <.c:ie'hzeiF> hec.f.t

de sc l-.oo! De

~elee.-d n.et ~e ...

'o""'f" .... 1.:.~.,... o.., te

'a.o."'

e,., pro~p·o..., ... o..1~ l:.e e....,t..,ik.kele..., word.l;. wee"!>f•·e9~ld iV~ \., e~ oV>de.-•.>f:j 6 .

d.isc..:.pl.:.,e.

Op

veel pla.o.he.-,,

"'e.,..en de ~ca.c&A-t.

ook }:,..,~l;.eYI het. oJot.de .. ~.>5~

,

heefl::

p"'o'1"'o.""'-va."' cee.... O-*bo.,l,t. . Al doe..,de lee.,..!; .,..e)"/,

btet veel va.lle~n e., or~~o..o.. ... ' .b~'e!>to..o. ... doov- de j ... hel: vo.k

d.oork.1-1eae vAk.hto.l'\.

ke",..d'

vo. .. o.lle 'e.be.: .... e.,

d.•e

ee ...

':J'-tee.... \.., -ciel.t he.-Ler9t , spee.ll; ell!'~o 9rol::.e rol.

(7)

- De ~er

bet.cl-.ikk\..,.<j

~toA)lde o.pfOlt"o.l::u.t.u•

e.""

p1"o~ra..,""'.a.l=• . .t~. ... ,.

i:. ~e.b-relc.~.

Vee\

a.ppa."'otL&.\.Itt'

e..-, pt'o~ra...,.,.4.f:.~A.U,. i~ oV~d.e,-o..,tuikkeld.-LJ'l ~ek.ef"

h\el ~~ftc.l.,,k.t voor" he.t o....,Je.,.LV9S . De

lyd

d;e You.

b.'"'"'e...,

wo.,.de..,

be...,tee.d o.a..., rcleva111:e. Co11cept.e..., uit. de i"'~or..,..at:.ic~

wo .. d.~ Vet'h1'14ikl: a.a.y, o.ppa.ra.t~.t.~.o.r.

Prol3ra.*".,..,e~'"e...,

If> ee"'

'lolloeil~k

vak . 'De .,ee'!:.l:e 12-lE:.

ja..ri~.e

....

'29"

e-r n.:el:: vooY l:.o~rw6t.

Het: in fo1'tt~o.l:.ica..o...,deYw~~ is. ~t.e.-k dooY' c:le2e p\A.y,t;e..., bepo..o..ld. e..,

'Ziel:: er on~evee.Y"' o.l" vo\9r Ltit :

Er klo .. dl:: "'ildel3 ~e..~eve,.., va.., de. opbo~.o~.IJ e ... we,-ki,.~ va....,

ee"" t:.o""pl4be-r.

De

leu·h~~ 1..1ordt veYhou.c..>d ~e..,a.a.k.~

lo-tet-d.e

op

~c.hool ~o.l-lwe2:i'3e a.ppa.r-o.t:.~.~..~.<.r- t:t~'~ leer" 1:; e.-, pa..s~a.."'t

pYo,ri:l*"wte""'e.-, ~11 &A-SIC.. Pro~r()...,MD-;~ '-'OYde... veelal

o,.,L

wikk.eld )l..et

c::le

a.rpa.ra.lao~.c...r

bE

de ha. ...

.d.

Solo"l':>

worde..,

bloksc.hew.o."s ( -sl:roo .... sc.l.e-a."~, Flo&.>c..~arb.) ~1'~.o.ik.b.

£r z·~"' 9t'ol:.e. i.,divic:hc.ele versc'hd\e,.,

de

hs\i)M..,...ef'Lkke .... "

b-re:\e"' a.\ '!>l"'el' hele r'I'O~l"ll. ... ""0.1'!> ir\ e\\c:a.o.,. e~ t:lnde'l"'.e., )c.,.~'e..,

de i'>lc~ nooo'l: te ro.k..\c.e.... (e..., '!oc.\to\.:er

d.:e.

\::h'-".;1> ee.,..

'1-iGI'O-(.(:)...,fl.l~f't" bezit hoe~l:: V~iel:."

...,.,eer

b~

te

\eY'ert.

- ~obb)'i')ole vierl:: l-Joo~~j .. hee~t.;.,~e,... -speYidere ... vele ~.-e.., a.a..-.

(8)

Bin."en

heb

\.to~e.r 'Bel"oep~o,.,denJ3~

heePt

hefz

inPor...,o.!.ica.-o"'del"l.l~~

al

e..,i~e.

l;,ra.dd::ie. ],.., de jGre..,

2eve.,ti~

k)erd op de

l:echni~c.he a.fdeL:."~e,.,

o.ls e.leet:rotechnie.k,

werkt::u...:~bol.(..l.,)ku

... de e,.,

~c:c.b ... u..rk.u.,.,de Al9o\~bo ol"'de...-wei!e..,.

'-1et

vo.k.

heet\:.e

"c..ot~otpu..ee.rk.u..nde"

e..,

bed:o"'d

voor

ee ... 9"oot

d.eel 1.4il: l"'!.tt'l1erieke. wi~lcu ... de.

Va.'"o.f

1~8o 2y~

de

h'bo-opleidi~-tc:}e.., voot"iie'" va.~o,

e.i:}e..-.

c..o~+~puter<.

.,_,et

alaarb~ beeld~cher~~?e"'

e., toet:.se,.,

borde..,.

AI<&

tllAI

wordt

i,.,

het

<:k\,e....,ee....

PASC.Al

~ebrLAikb.

De

W~e);l-tode va.r-~

doc.er""e,.. is

eve..,een-s

a.m'bac..htel~~·

Ao..n

de

ha..,d va...,

voot

be•lde,..,

wor>dt: lje

probeud

ee..t

p~'"oj T"a.m ....

a..

l;.e £..o'Vt!.t~u ere.,.,.

(9)

1.!

ten

&i .,.,ol!e. iYIVU !lit\~ VCIYI het i"' Fon •• o. b'co. o..,deriJ ~!> ik de onde.-bouw

He!: \)'I ~OY"'-'tO.tlcA.OHdeT I.)~.S II") de o"der _bou.!4 k_ Q.YI die..., en c:~l$ bcui~

voo,..- pro~yo.w.,.,..eero"'derv~~ i., l.o.tere jo.ten. E.

e.,.

va"' de doele"'

d,·e ~e'~~~ ?ich O.A.I'\~O..o.,de do.~ o.spect -sl:e\l i~ do.t de

leer-li'119en zoveel ken)'li!, e>t kLLnde bei'i\:tey, dc..l: nel: vo.k. PI"''jY"a,.,...

rnef'e" il'l i~o\e~enl: , 1o :5o vo.l"' ~rpo.ro.!::u.u:r '"'"' f~"O~ra.rwlt1.o.tt.lt.l ... ,

beoe~end ko.h worden.

No9

(.OI'Icreter :

de le.er'i"'9

k<l.,

ab!l~ro.l-.ere.., Va.l"' de u.itVOI"ri...,<J vo... ee...,

P'~'O~jYO..""'""a.

Of

ee"' hoooo.ck,..,e.

de

lee,.li"'9

k<l...

o.l..s~ro..lu;ot-e.., vo.., iHifOer'" e.., u.i t;vo@r vo."'

~e~eV'el"'-E>.

0""

d.:!:. te · ver~.Jeile.., l!;k.e., I o.le... IJ e. de lee.rlt...,~e"' i"" d.e o....d.rbo~..<.~ ke"'n"ii!t 'Make., ... et o.ppMatuL4{" E'"' rfosra....,...,ol::c.c.u..r • ~'Met da.o.r o.b dcel

e"i¥

ke ....

..,i!. va. ....

de

opl,o .... .., 2 ... cJel"k.~""£3 V't:l.l'l ee., kLA!>S~elc

Go..., p ""\:.E?>" :r.ystee....,.

e"'i~e er-vo. rill"l~ mel:

het

be.d.~e..,e.., YO..l1 ee.., eo""'r~.tber.

e ... i,e

ervo.Y'i"~ (II\ _het Lo. be.., _{L.!.ilvoe.-e"'} VO."' f>~"O~I"a ~-0.1 15 ~e ... C.on.pl.(t:.ev-.

d.oo r

er.i~e E'r"vO..dl'l~ .... et

he

I:. Sc~y,Vt'"" e~-o _1.,)92i~e_.. \14" ?eeY'

e

e.., V"o""'d~~

pYoc:)YO.hol'lo\ 0. ~~.

De

be,.,Qdef'~...,~ ~c:..l , "'ede ~eA~ie)'\ d.e. leef l::~a 1/Cll-1 d.e doel~Yoer,

opet"o.t lol"'E?el vo."' a.oY"d :Z!jl? . ?ro~rA,...,a. '"

c- ....

Ue"" voorno..,...e~ k uit

lee.!l

en sd ... ~~

opdn::tc.hl:.e""

bescuh.

t>e tjek.oae .... ta...o..l i~ il'l

eli\::. 'bto.d.:u~ooo l'lO.~.<.c..)E"ljks releva...,l:.

1-tet

onde .. c.Jj~> diev.l: 2icl.. \:.e. beperk..e'lo. bob de. tjf.koe. ... de doe\e~.o. , opdo.t he!:. hiet

O"''ta.ordt

i,.. hobby l·.s..,.e.

(10)

"· Sc.hr!j~ ee, \eo loJO.o.d'n

oe

opbo14W ,e., we.,.k.i.-.~ V'<t.., ee. ....

lc.La.s~ie lc. '-O ... pl4!-.~r

Jy

$~_... wo ... dl: ui t

'e

l•~ d. . " _zee... _ee"_vo""d.'~_e.

l.

o ..

"=~et'p ee"' \e~h'"plo.... LJQ.a..(',.., de ,.., 'i.3 ~e,oe-de doele., ve,..wel"'k.l: 291'\ .

<:j

a. u.\ ~ vo." -t les~...&"''" per week i... he

1:-\:l.)ecde lee;ja.o.r \Ia."' de o"' derbo~.o~..c..~. tjee~ oolc.. dr pro.cl:ico. \'hel: i~o~~c~.o.d O.dl'\.

'W

a.t: voo" ei!Jet-t stelt 1..1. a..a....

a..pro..r-o.

~~.~.I.(,,.

h .. -.,,.. , die

~ebr ...

,'kl::-

c:lie..,t: te LJol"'de., ,..,

en pro<3Y"O. ....

Io'IO... ...

he.

c

o..,der!.,) ~ ~

?

5". Gee~ vo.n. de ol'\d.e rr.to..4"d" be~rippe..-. , 70 I.A ie k.e.,t , de

be

te

ke

.-,is 11"

9ee

~ be ve., r. Q.4"' we Ike 1..1. va""

be Lo..., 9

~c. i, l::

te

t4e

l:e.., .

l'llici"OC.o,..pt.t.te..-, b~l:e , Q.d,.e~, ')eJ..ew.~e..,, \?JO.i Yl f Ya..,..e , "!:>l::ol"e , Ll~P

'

H'le~o.-j bi ~ j ~tack ALU

' di~k' CPLL, dn ... .., , Lo~o->~~ol u ... i 1: C \IE.,.,

j

'

it ... ter,...~p 1:: , '- inte ~tic.e) Ps\J, d.-i,.,er 1 re-,;,t:er, t:t."e"'e, ta.re}

o'Percd::;.,~ sy~l.e>k ₁ edito\'" 1 COSOL, ... -..c.l.;,.e,ode, ... c.1~ ... , .:..ha. .... t>l,

blod·c., I IO, noPl"'::l disk, over-now, ""'0o;;,r.d\e .. ~te} i...,'\\l:.r""c.Hec.ode1

relecur, t:a. .. k ~0 >"~Q.~e.Joo.oE.., t; , 1.8 t1 I pa.rll:.y 'bit, A..ISe,...bler _{J \<bJ}

vir.\:;loteel _~e_{l.e .... ,e., ,} hcc:u:lcTcul.,, \j,. k~e. ed.it.or 1 \.o.rd uelo'fe " R R ~ 1 c.Lt:p,

FIFO I weo.ke11ol: prec..o..,clieio ... , ca.c.l. e ,

r

ire

u ....

,.~

.

be_.~ ... cl , t:o•p•'ler, "lii'R- H.:rU~>f

1 VLSI. 1 \oA.d ,..o . .cl. ... le, se,. ... e .. l..iecl 1 objec.t c.oc:le 1

1.~0

₁

ltorJo.QA\vor,.., MIJ)~~~ lok...,lt•rro~rcv ... u.,j, ~low c.l..ar~ 1 MV~, o.bsl:.tAd: do.l:o. b;~ pe) TSo, 'ole ...

c:li.,'J ,

M~S .

(11)

de \eetli"'9 i1i voor

he

1::

a

f.e..,.,

P"'o5rc:lo,.,-.e~,-prob)ee... be"b~a..At LC.i \: ee"' Ot'ld~.o.'b\,eli!i .. ,.,~e bec..-::.\.r~vin'1 '1/411"1 ~e... P'"ew .. di\-ie ( be~inl:oe~l:t.a....d) e"' ee.-.

f'cstCol'td:b'e l ei ... c::llo.rf.l<a.,d) . ~e.. dcu~el~k:e be.el.r!jvi.,~ noe ... e ... ~e. ~... hAVol<,;i..,~ va11 [{] ce... f~.&.-.dio.,e)e spec• fic:a.~ie.

)""

he~

vood:5ezeb o ... der..:>ijs

kperk.t

,.e.., i!ic.h

t-or

".ee.tvot.tdl·je"' pro~rtt.,..,.,e-..)>reb\elo-!e., :

~ h

ee..,

ee ... vo"' di~ )'U"O ~ t'Ck)M"" e~pr"obleew. Lao.t 'ZI'C~ Of )o:s.se..., doo,.. he~ l::-oepo.11se ... va." ~\:.::~...,d~dl::ech~;eke"".

De oplo:~o!.i.,j va.,

ee...,

prc,~ro..,..,~ee;..problee...

besl:-4&\.t

W:

t

u.,., pr"o~ro .... h"'l.).l::.ek..-..1: voor~le... va... dt.~.sdo-,i~ c..o.,...,.e.., I::.Aar clo..t

d.e c.orrec

the£d (

,.,.,et

bel:.telc..k.i-,~ ~oi:

de

rd,j

be),or"e.,de ~ope

cifi ca.

l:ie )

Et'Vt!'l,., dLti

del~

k.

~·.

lSove ...

s.t~de doelio.l:elli .. ~

'1/e;o""elde be~rippe""

-z5""

v~.

i~ h09 .t::~.lles2i .. ~ vao.j . Ook. c:l.e. erl:,'

Voor \,et veo.leee.-.ltjke,.., ""'"' de

~·-5t.o.l'!c:lo..a,..rJ.-trot:-e~ieeY\ \cw.,..l'\Bf-1 l:oepo.sse ...

(l'ie., c:le!Mic.e aa,.., :

hel:

kJ!f3lote.., v~

ee.,.

c.o~j,_...,,t: i,., de e;. ... d.-W'e.t o.~(e

,

l:er """ )c.r~ ,,...,~ 'I/ ON. eer-t

'e.sc.J...:k

~e

V.-vo.r~o. ... t

J

Y(febi~ie k.\&,..ne... 0""'$Glt'9"~

(12)

No.a..~t

de

<Jenoe~'>'~de

doelsl::elli.""9e""

zy,..,

l?O~ altje..,.,.eY~ere

l::e .'JeV'eH

1

dt·~

ook. v'O.'I"'

t.oepaui,~ 7~""

op <1>-.. due vokke""' ifoa.l6

Nede.,.la.hd6

e"" w.:~k"'~de.

'We

r~oe..,.,e ....

ce..-

e.en p~~"" :

- )..-, eet'l prohlee,..,., hoofda<:l.k.e"" e""

l:.j

i.ak.e.... k ... "'...,e"' on de,.._ sc.ke~de"".

~.

Fo-r""\4\ee.-

c.ohcrel:e d.oelstell\..,,e.., dui!

.,.,~

l'lctsi:teeP l:- \:.::; de be~o. .... del<..,~

va."' :

.de toe kel'l..,i.., ~so pd ro. ,)., i:

- de Ye peld ~ ie

f"'"'c..lio~-te\e 6peciCic.aHe~

de ltY~eo.ire :zoek.~oMel: l.od.e

de bi,..o.(re i!oe k W~el:~ode .2. B~ hel:: Wi6k ... "cleo.-u::iet...,~.s 2'~':"

'Jele~d d.oor e-xame..,ei.e, 2oo.l!>:

- de 9ra~;~k. Vq..., Q. Lcf> px. +-- kwA.d.rAlis~\,e. vu~eljk.•..,~e,..,

b sin px. ku.,~>ae... ::s~),el::$en.

l

Q.X:a. • b IC + c

=

0) kw...,..,e ... oplos$e."".

1

_We\tc.e

_{al(je ... e ... ere doel(.}~etl.i"~e, pAs~.e.... b~ ee"'

(13)

10.

A\lfo1't'l"'i l:.ol:

cle.

irtvwUi.,~ va.n ~e.-.

l:.( ~a.a.n

be,prekf.., ..,..

de ~fiJb-!sl:e ie.e.l"\i,Cj~.., .

o,..,clertJ~" pro~rd ... k-tc::t over

he.~i~toesto.,.,cl

vo..-.

de

t>e

~el,)eM.t:e voor ke,~o~is op \,et ~ehied va." de i"'~of...,Abic.tt i$ ~thoe~d ih hoo~d'h"lc 1 :

- e,..i,_,e

\:e.-.a,is

\/Q.)")

de

opbokl,,

_e'"

~Jerk.:.-.9 va. .. ee,...

c..o.-r"1.e.,..

.

e ... i,e

ervori"'«3 '"et:- ~e~ lo.ee,., "'-''t v()tf"&l va .. ~e

... vot..d,·5e

pro.

~('a,..,,.,.4111₆ _d.oot"

_e.en

_co""r"'ter.

J-r.

de::ee ke..,nis '11ie.t a.a.,...,.,ee;~

&o...,

l::.esi..,t lrle .... l,,·e,""'-ee , 2oo.ls ~esc.hel::~l: h, ~oof:dsb ... l 1.

B.y

de

3e""e"'ke

voorke-.,~-tis op ~et-

<3.r'bied vo. .... .d.e

L.)is\c:.u .... c:le \1·5t- \-,e.l: · lMihd.u ee.,..,V'o1.o1.di~. 14t·e,.).,~ ~peeJt ke ...

..,i•

l'liet ao"n 9rol:.e Yo\

h?c.a..-b~voot'bc!?eld.:

- u..

be-...,9~ ne~jes lc."""'"'e"" op"'c:hr _y v,e....,.

• besc.l.. i

k.k.e ..

a.l9e'b ... a.'t's c:.hc.

ove., re lce.,.,v~Ar.d,·9\.,e(d , so wei ~~oet: <Jet:a..lle,., o.ls ...,e t

fo ... les (•hA,.kje.s

verd"j"'e""", ..

o ... t},i..-,de ... '"' fAcf:-ot"e.., .. ).

(je.zie.-.

c:\e vo\ vo.'rl de. ?,..ed,·eo.l:e..,,..ek.e.,in!:) b9

hel::

Jn"o5ro.""'"HiW1 ?ow. \'l1ev. welt..:c\,\:. V&&Ja..c:ht.e., ook. o .. de..-a.~erpe"' c.ls Yfr~a .... eha.u)fN! lee .. e"' p"'opo-s.··~l'el"'eluni 11~ aa.... h ~re H~ .

Hee

ge.bru.ik. h\Nva.... it in he 1:

h~dt~e

wi,k ....

"".deo...,de.-kl5S (no~) ~i..,in..A.t.t.l. ),. hel: pYo~rc:t.»-....,eel'_ o,..,der'-lY'- t.~o'fdt de 'P"eJ,·c.o.f:.e..,.-eke ... l""~ c::t\$ f'ereed.'lc..l..4$! ito~eeet.

Heb

t9

k~ cp .di 1: ~o""e .... t: v..,.-s bo...,.d (~ O)o. p~"opu;J.ie - ~

(14)

1'1.

t. Het ~Aximu.""" vo.V~ I:.LJee. '3eto.\leV~

a ~ \:. , is ~e. de

f

i 111· eey- d doo""

'X=O.~

b

ti)

J~

dil::

ee~'"~

c.orreel::e defind:ie?

~ I~ OSSO Lio.t itt

f

~ dls.l:.rt:lo"'-eed; OV'er _~

l- o.) mA.'IC

l- \,)

_=-

-

Lo..

"""QJ( lo)

X~ ct A. ~~b

=

'X :;, 0. _~

b

Q

=

Q.~b ₌ Q.:?;b

0.

-

{b~)(e) ::. (o..- b) \oo/2,.}! (o.-e)

'

~-

Hoe.

•t.

he~ te verk.to.Ye""

do.t

vr-~e.l <jee ... e .... kele a4.-ja.r(je

5".

s'"\,o\ier il'l :,l:a..a.l:- i!> o..., 181.,. fou.ldoo~ l:.e be..-ek.ehe.,., 7

'vJ

Q.O. ... 0""

del'lk.t:

h-!e,..,\9

?~\"1

?

See.~ ..too rbee ld4' .... va.,.. 'IIIH1>k~.t..,.de.

II c_

c;.e.n '3et.o..l '~ d.ee\bo.a.t" va'"' de c.;;f:e,5 VA."' ( d.e

d.eel

ht\.(V i!. door '3 . "

\ ee:

,.lin tj

{

1.t:l. .,. 3«

=

f 3 Bo.-•.,..1

d.o.t d.e.te "'~elsels

{

for,... o.li • ..,e:n it\ de. ~tti dele I

bo..

re

t3e

lj

k.IJ a..a rd.i~

~t.-hool ~

d.oor 9 d.12."" e'"' ilec..ht\

d..a."'

o.ls de -..o ...

(15)

·~

buee l"'lel:hoden.

De ee-rsl:e ... et:hoc:le

bel-ta..,dl!lt

diV"«.e

o,..dNc.le-rrs..

-ao

breed n.o~~t!jk

e.-.

\:.e9irtt'

pa.s

boec e.t!h nie"'"" o,.,4N~o~erp \h&.·e,.,

de

Ja.orV"DOf' 1'\0od-Z.Cio\cel91c.e \ce ... ,is

e...

va.c>l'~~'hede.., a.ll~ beha,.,deld 2911. ~a.a~ voot"

lo.aj

~o,.c:ll:- de

ke,.,..,,,

IC.lt~ebreid tot ee11 ""ec.'h~ bo ... wweo'k... Al• 1'L4cleel vo.., deRe h1ei:l,oc::le worch '-et;

Fc.:.t

~e.-.oe-.6, d4t

\.elut.,.,dd;.,~ va11 ee... lea~ de ~i.,vo)l-7e.:d

~' (. 11 w a or .:• ),ef: 9oeJ V"o~ ") ·

.De.

el.oo)eede

~e~hocle

beko.,.,Jel

t

pt'o\,lemBM el1 Sl:.l.'tl; d04-t'b~

"P

£'.eh

,em1'fo

Q.Q.., hoi( VA<Sol: , Q.A"''

0~ de,h~'e11de

tl,eiiYI'ol!.

w(l.D.~ nod~

Worolt d.e i!e the«" ie l,el-o.,.deld. .

No.deel va.... d.et:e ~'-oJeede )Metltode ~· d.e. ver .... e~~t~i.,~ vo..,

clivsr-•c

op .. ;,\,

~l:t:t..o,.,de A~pec.te~

c.,

lo ...

~J..,..,.c:~e

c:>)'IJ"'.:de t5k..l.e-•d

Ov(H de S)'el.-et3el• . Re,el,..,af:;~ c::lie.,t ee ... 811 4,..def'" IJ

or

een r~bje

<-Je2'ec

l:.c. wo,-den IJ.

•. :h .. le~cl,,..,~

1. ~t ... e ... t:.:tire pro,o!.ih't'· e ... pre.dic:o.l'l!'...,,.eke-W"'i""~

2, Syl"ti:.t~V e ... O._.,t_,•jf\c. yCVI 'f>t"O_,t",_.,. ... .,. 1S

"·'

f ...

c~:-&·o.,.,le "''f''C•' ~ico.l•i•ll'S

.a.z cle l:oeke.,..,;.,~'opci .. a.cht

2 .• .d.e '"k..:p • opc:l ,ca..J.. t:

2.~ de ,c:o,.,co f:4!,a.l::ie ~.r cle :;:.elecb'e.

.a..& .J.e rc pet :i:1'e

a.

~~.&-1:-i ~iC().~•cs , Y"ek.e..,.e~els

"f. Het: · o ... we-rpe., >~a... Al~rt:l:..,e.,

""·' "5to.. ... ol~d.. st.rA~e,··ee .... ~·2- ~lt'el: -~b-o .. cla.ord 6kro.l;e~,·e~

(16)

13

'B~

de tt.Jeede .,.el;.}..ode

pG.s.,

b

:1

.1oo,. ),ec\d : o. :J"Ie.:d.i .. ,

4.

oc

4~rw.c.b.<.'""' vo,.o, ee.-. pro!)l"'a.- ... a. ·,

">'"'

I:CLx

:L.

p

"O'

\"Q.tto...., 0. ,~ voo.,...a•'e. .. Vt:J.I't o.sJer~ie.s

3. Voo fbcelde,., vo. ... he~ ~e'-r

...

i k.. >Ia ... de t'epel:ih'e

a:t De be.l;ek.e ... i.s vo. ... de VtWi'.,.bele.., ( .. d .. i .. vea,.'o ... t;")

1-.2. ti .. di~i.,~6ar~"' .... e..~e.... L" de vo,.:o ... l:e P .... cl:/e." I

-11. Rct.}els VOOY' de Q~SU f:ies

Af, I I>e sk~, -s.l-o.~e ... e,...,l:

~-2. 'De assi~"',..,e"' ~-.S bo •. l-eo...e..!:

~.a Pe ~e.\u.He.

~-~

..tt.S" Pe r-ep-e~d:·ie

s-. \4et: te.k.e.,e... mel:: p~ediCALe,.,

'· r=-u. .. el:io"'lele ~peciClccal:ie~ :.

B ,

~

,

'§ , ~ , MAx e .. MIN

1·

Hel: o...,b.le.rre"' 1/ch, al'1orib .. e"' 8. Ma...ip~A14We.. ~oMet cuvo.~~.

~e""oc .... c:le.

De '3"oep

I.Jt:l.Art:La"" o"de.-~·~l

9e'e"e..

""o,..dt; •'s hoeae bepo.le...d

voov- ~e., l::e k.,·e.ae... a.o."pt:~.lc..

A\" ee.,.. 'r>era.o.ld be },a..,de I ~e

1:-be'3.-.:P te. moei.lgk. \s la.ol: het cia,., a.d,l:en.Je~e i.,~ui:~ie~ , ~a.D.r ~ee' ~ ... ~ee .. o .. j .... ,sl:e de~.~fhe ( -ler~e\'3"- de be l,o...,de l'"5 vo.vr he~ \i n.iet \,e~1.:p ih hoof-dr. h ... k. 2 va. ..

Lz.J)

- S

eb Y'IA.:k.. €"~

Dee I Y'o.., he t.

~or\t:,..,en e..,

6eelc::le,., d&e

(le..,voa..dYjc: voo,.-"eelc:le ... e .. ~p~o..ve..,.

o.,cle .. wi4~ _.., i• n · _•et- e-e.., '--ou:.,.,,-S,.,A~I15 ~ooet-._ · -spect"o..c.c.c.la.i"e a.l-,..,~ewik.ke\de cio.J:o..,~..-.... c:.t::wre,.,. Te. V'a.o.k. 'Ziel:-

""e..,

voor-hel: be,a.l::b-i..,~~be~r.:p 'Ia.., 4e lee,...l.:..,~e... te bc:nre... ~Q.o,.,.

(17)

1. \Jr.a~ i<!> he.t n~AI: vA~-r de be\,o....,d.eli~~ >14.., de "Y~"~f:tut vo... proj'I"A...,...,eer_

ba.le .. ~

4. <jee~ V':'orbeelde~o~ va.... pro~w-o. ... <:.a.'.s U(J.4.f'lhf!e de. repef:.i~ie

~e,.,t:.ro-d\&.c.e.e,. d

ka....

uo.-de"' .

$'. Fo,..,.,.w.\e« de li!"'eoire 2celc.~Mel;l.ode ( "J::i,.eor "SeOtd.."J. l• cle.~e. 1/o..., l:oepo.'lt"'"'5 Of~ \tat pro'blee ...

"'beJ"ao.o..l vo. ... ee., ~e~e"""' "iel:-le~e "' i"l:"'3e'11 de k.\eiws.ke i ... de" WQ.D;tvoor de

v5

ee..., '"'axi.,...IA... QA.nl1e4!...,~

11 ?

2o

1>\ee , ...:1 O..O<f'O...., nie I=

A E: 6 el"''2. d.e

-

' -

,

-\t.t.a..bi~ic4l.ie!l OV'et- u... lee9 do....,e!., t.e v'e,...,eld..r ..

?

2o jo.., 1-.ce de ... k.l:

(18)

15"

1"' het:: }.,..,;di'c

wir.k:.u,.deo.-,4&"'5~

"P

de m:dc:lo\\,are.

Sc.i.ool

wof'dt

we;..,,~ tlUI . ..-,do.c..hb be,t:eed Q.AJ1 hek e"derc..terp \o,ic:o.. VelttOt.A.di is

\o~cco.

i!.f!rt val• do.t-

vedx,.,c:len

i..s

w-oe~

de.

tjf'ototdslo.~e,..,

lfQ"" de Wiskwoc:le.

\Je\

won:H-

e .. ~~·~e. bt~.t.~k.t.e '!t""\:,o\er~

"\.••""""a

vo\,t'' a .. 11

\,et ~e\,eel v4M \,ove..tti:Q.o...,de

t:>e. do.~\,~

'3c.

ttt: l.l:.er- hfd· o.b

levert '' .

Ook.

~';:)""''Dote.. Clr.ls. ,... e...

v

wov-de., Q.\"!:o o.~lc.o-f'cito~ tjc.b ru.ik.t {He~

it. t1ie~ o.., ~e'b ... w.dc.et;

k.

d.o.t

te.,.,

T.H.-sl:.c.a.de..,b opsc.l.r~H )(..::. ~ vJ.t).

B~ l,et::- p-ro~v-"'""'"".ere.. lt. lo~cc..a. o.ls ~ereedlc.),Ap o,..,o...,bbeed~k..

i1e..,

\.teeH dtt: ~eteechc..ho.YJ nod.:~ b~ - be~a .... .deli..,~ va."'

- het spec~ ~~eere

..

-preclt:co.be..t

- \,ei. besc1..r ~V'e

...

B~ clil: \o.a.~ s

t

e

~l"oblee .,._ voo 'f' i.., l.e.e be"'~'

Te111eh•1de lcc_,,·c.a.. o.l& c:3ereed~c.hC1Lp be k."""'"e... -3cbr""'"-k.e... za.l ~u·~H.e«

tJeoePe"'el c:{;e.-.av, l:.e wo,...de.-.. E"e"'a.lr. 'h«t )Me.&e.\.c-,s.c.lt k ....

,.,.,e...

a;f_

Po.~ nt:t.clo.~ ,e.,;~e ve.rl:rouL,Jdh~d md:

ee....

.c:.olc ... l...s ~~ ver k ... e~e ... , lc.a.-,

(19)

vo.-. "a\~ ...

i.,.flic:o.l:le

lit. ~a 'k.en,

~.

,,

"e., o.l-s hel: do,.., nie.t re~e .. t •

II Qj~

Ve\'i4~t.el~n~el1, LJo..Av mel'li~ \e('a.tz.r- l1iet sc..\ .. roo""'l: te :sp.-ek.e ... ovet' "d.e. vet'.i!CU91e.L•.., ':) leer-lin~e"" d,·e Wi10.k.u..,de lew k vi.,de .. " )

I.Ji

Ue

vo.n de 'be~Yip6'{0I"..,i.,:J voo..-be.el.de., ""od.i~

dQ.v. heperk.e lot ''beda.,L,ce objec.l:e .... ", 2'oo.l~ de

I:. ~.C. ... fljke :Je..l:a.tle,.. •

Zo ;z~,.t.llelf'l l1iel: veel

J/

t-leb is. i"'ieh <3oed on. _{\a. ..}

'3

'b~ voor bee ldev. ~t.d te <S.l:.a.o.~ ·.

hie I: de voo.,. bee ldt>~ '2~lo \.,e~ 'howV'cul:- • l!\a...a..r- de a..~ iii )>Yo.k.e... ( Y"eke ... _

~~els).

d.e -ree do;. i.,

'3el..y₁₄;k. '.il.~"" \,~ wi"lc. ... de e .... o.~od.e.-~ vo.k.\c:e.., is hel:: '3ewe .... .,\:; o.., voor het spel del' lo'3ic.Q. ct.'r\4ere "'::1 .... bole, t.e. k~e·:z e.., -;zoa\.s

\:.y-voo-rhee.lcl ~n [1]

...., vooY cle i..,p),·cAl:i£

(20)

S~Zol"\dere

a,a. ... dA.ei.&t: d.le,t 1:-e

~orde ...

be\Steed. oa...-. )..et:

?.or~\l'v.ldi~

e,., ove,.•uc.l.~el~ lc.. ""ol:e,.e.. '~().;1 ~~ be~; '!I.

B~

de

p,..opc,..i~ieYelce"'"9

viilt',..,cldl: me.,.

h~ be-w~ss.'l:o.)'pe""' ~elke re~el

I~ t.oe~ e pASt: .

2o \•

o"'def'•~o.o. ..

.U

ee ...

~o~elt;lc;e .:a.~le.:cli

..

~

'1/0w. (p

~~)

s (.

"'1,.

~

... p)

p

-t>

1. - t

de~ ... ; ~:-.·e

+

l

""p

v cz.

=

-i ">'*...,_e.f:,ie v

1

\ v ... p

=.

l

c:lu.\,l,el~ o .. ~k.e ...

..,i,.4J

l

....

.,

'}..

"'

..,,

=

t

cle~u' it.ie . , )

~··

'j

de

pt'edi,ol:e.., "Zij"'

$O...,.,.,,e

'!.'t.A.'f''fe"'

...

f.tr.tt'l

c..-.defe

or

_'ro"'d

va .. Q.r~ 1:"" e t-;e k. .

vt>o~beeld

1. ieyvo...,

i~

\, e

t: b~w~5 1/A>t

a ,.

J

'X 4- 2. 'j - 2. "'. l ~-I ~ 0

=

t

Q.) ~e \,rc:d Xa + y'll-Z.·'I(·!J + 'j'l. + 2. •K ~0 a

t

Al,eb~A

1

(x-!J)a +-!~:a.+ 2·X ~0 . . -\ o.l,e.l." 0. )

tx

-~)a :;J 0 A ~· ~D

"

2· X '1J; () ·

"""

~ a.l,ebrc;. \ ~ ... e = { \o~ico.l x~o A

+= .{

lo' i c.A

l

)(~0 " '1~0 b .... a A X'lt-0

op

~,..o.,.d vo .. \o~,·c.A

H(e r\,~ ve~"~wtek!t w.a~o duCjewe,..,l:: b~ ..,.a.l,el,r,."

ett

11lo,ic.a."' pre,\u~

(21)

18

De

be&.o..deL:"''3 V'Q..., 'Pf'edic:o.h!'"' k.Q.,. ~o~orde.. V..:l:"}e.st-el.d tot. de.

l.e-L...,.deL• ... , va... L d.t $e ... o ... ~l'elc. vQ...,) ~t:~t-e""e .. t~ • lo.)Goa~\,'1 ee ... Y'&bo .. d

~el~c( lo,)Otdf: e~.c.UEIM ~O&Si:A>tde" e"' 'f'1"ed.::c:.o..tet\. ·

De {C.O"'I"!obQ..,t:;•) r~c:dic:.Ab-&-- ~a.l~e "'"' b.r-~t.C . bl~lce.. lJ.toe.:l~lc. looll4t te lel)'f.M . Voot\,eeLde.-. lo'iitle.. wei e~-:. k\pe .... :Go va.lt \,... de l:::t..lee d.i)ooe ...

t;;oes};;c:a"AHW..:.""'te 1 Of';)~\\fO."'"'eot

f'"'ed .-c.D-AI: x .. ~ o ,;.. ~;:~:a.:.. o

De

a.f. 1'.,. a.o. k.

lc:.ee.-r ex.

r

l~c.~et.

ev.e....ee ... s.

da.t

(14el ~a.lt: te o"uwe~e., o,.... he!: predico..o.t l::rw.e a. ... de..,.s te ..,ol:e1e...

d..o.... c:le WO.a.rd.e t:: r~.e.e. ' 0 f o... '100'~" he t

r

red.·c:.o.a t '2e I {:s ee.. 4Mdue

l\o,.o..., l:.e k.~e~e". :Deael~de or""e;k.;,.~ tje.ldl: 1/00f' fellse ).

~e....:>e~otcl o"" l::.e da.k.et.. ~.... te,. .. l!!loo. 1/c... oor R-a.o.k. e., <3evo!!3 , hel.lte.,

v.e.el

teet"'l~ ... ,~ k<oe..:t;e J.tooel:: de

u...

pl~c.Abie.

f'

'(O )'O$i f.:iel> c:Ll~

:z. ::: 3 'Iii!) & :::;; Q

9a.a ..

we( .... a. a.(' ~::.3 llll)

'::;.'

~.,~d \'\ :e.t; .

<Sbri~t to.efo..S.j&. va.. .. de de~, ... il.ie. N

p=!>t:t_

,·,

~el~elfde. a.l&

'"1p V'\.. H Jis .::le ekl~e orloS6\iot5 VQ."' dd:. rroltle.e .... Oefe.-.i ... , ba.o..rl:: k .... usl:.

sterk.e-.., '' e.\1\ ,, lleii'2LJO.kk.en '' k'"""'l"'B,.., Q.O..., co.l VO...., VOol"be~lde~o. l.)o..,..de.. 9ei: IIIAi>l;~e~l'"d. · De. h'loe.c:.l~ ~ke..:.d VQ.\0\ cle'lfc. be.~lri'pfe"' 5c:;.\,'""~li. o .... de-r ,.._ee ..

c.a<~ hel:. ~ec:.t d.o..t: a~ ~eet. toco..le ~o.o...a.r- e.e.. 'f'o..rciele orde u .. d"'c..er-eot.

J)'l

de. o~otde .. l..o .... l.l ie. eo'"" )"o-r-t-r·ele Dr de a.o.,... bod '\e k.o ... e ...

1.5

c::ie.. i"c.l....s.,-e

(22)

Op'jove~.

5'.

b.

e.

_Be..>

_!:J!o

_p

J\ <.p v~) ,$

p

v

(. p

".,_J

d.

g

e..>~~ 1 1-

to. ...

a.?L ₌ _ L

Cot2. )!(

1

e..

Bereke.,

5

dx

0 I f-

yx,..

De

vet' 1o."" et~~ ~

5

be~t-CCD-t:. ~.ti 1: ~ e.le-e .. bee.. , l:;.r~A.e

t>e O)'t'"Cl tor-e,.,

"

e~

"

'2~~

Of

g

~ede (!.1&-.te.erd

YtJot' peS i:J

r "

tYc..e

_{"' p}

_p

v

p

_""

fc:a.l ~e. ::= f.o.he Cje.ef- 1.4 ... _{c.o""'""'e"l::-a.or}

or

dt!'2e del=i .. iele~

WAI: IIO (

t-

l;e _?e~~e."' '1/Q.,. _de _5!::P"'o""_{;e-e ...}

e ...

• _{o .. ..,,euar}"' ll()or "f.~lse • ?

E: ...

0 voor fAiioe • 1 voor \.I' ... e ')

f'

v " 1.1 tt.aK "

\

_\ \ \ e .. f~lse. d.oor: fo.lse.

₌

r

1:. r u.e. .::: l:.r "'~ voof' •t. r .... e ''

(23)

1.D

Al6

i,., 1:: r od~A.cti e

_op

h-et besc.~r511e.,. vo..-.

,.._o.

's _{. }>c.}_ss.e,.,

-

voo" bee

lde...,

'1/Q, .. _{o.u.t:o"""o.l:e"'} ...,el:. _{ee ...}

l::oest o."d-e~o~ IJo.a...-.:..., c::\.e-ce ~I'

c.\..

K14io!HC""

voorbee.lde...

va.,.,

o.l<;ori..l .. e .. Vc.\.f>t~el4t,de vooYsc::l.Y i~teJo-t) .

B.9 deze. vooY"beeLde,..

Wor'de.... de

'lfto.te ... e.,.h ~.\"1

F

_{I'O':li'a. ...}

\:.esc:.J.r~ v\..,~

va.-..

de bevi ..

de"' .

toes 1:-a ... d.. &,e~;.., t.oe _

le,.. to,.,ele '3ev-oe,d...

£e.""

berek.e)\i"~ Y'a., e.e,. '-o ... y.hcbef lo)orc:h o..~~esc.l.i lderd .:::th.

p'l"oc.es cio.~ O.Q,.'I/C&n~ I; i.., e.~

...

Jt:oesl:~d.

ee... 'be~it-> t::oes ta-d

e...

\eL'c:h: t-ot:

De \,e~in boes l:; o."'d i~ leo c pa.o.l

d door de

le~t- a~ ~A-4 tV"ou vo.s

t:.

ee ...

By

~e~ ~e~~ - e,.

eb,d t-oes.

C.c:t .... d l.,oort:'

ee....

c.o \led:i e

f"Ot3

r.,,..,...

a.vflti.a.l.ele..,

De i"'voe,... wor'df:

(''de c.oord.: .. el te .. vo."' cle l:.oesto. ... dH"''""'te")

vo. ..

cle Wo~"'t::H:

&,)eet"lje~e.ve... d.oo"'

of ~oo,ee.l' vat'~'Clbe.le,

voors,).,rj ve..-. va.., de ( de \..e'i"' toe~t:a,...d )

e. ...

hlo.o.rde \{«,.,....

ei..

of

t.Jee,.r~e~.e.le"' .door

de

L .de ei .. dl::oesl::a ..

ci).

o.,.de die .._el:. ee..., p't"o-ara. ... al'\obo..f::ic VCL.., d.oe.. 'hebbe.-. ₁2'oo.l$

~YO~ Y"o.n.. .... a. 'lf'art:o. \,e1Elo4A. • na.o..., ~ t:.yfe ..(Ul."'d""~di~.o~

(24)

Ge9eveh

"i!9"

2 ) ' 0 . ~,~,.~~

i"'te~er vo,-~Abele. ... 2:..,~ e ... il, ~Met ':lt..')O, tj'>O e.., ee.,., p~'o~va.""...,a. ~ del: o...o..., inte'3er von·o.'bele

W) \.)(')0 A 'j'>O 1\ 'l">O \

s

~ )(,'1,i! : i.., i:et} el'"

VO.t"'

..

: i"' ~e~e,.

~

)( >

0

"

'1)0 1\ i->0~

s

t

r

₌'~t-~0.)( ('lC,lj,i!) ~

'W

QA.r

\,9

'"

tit~) hold:: C.OI'!iol: '\40t'dt:' o.o..,c:le,eve..-, cia.t

s

.::\e. ~o~a,or.

-de ... '1/D..., 'X, I 1.:1

e.,

'i! Oa.,"e.-le.t die.., t. ~e. l o l:e ... e .... -..e.t va .... cia.t

$ Q.Ot.n r een Wttt:LII"de ». (:l 13 l:oek.e...,..,e..., .

:z.·e

ook. · hd tjcd.eell:e ove-r ~ ... c:. \:-io.,.,e le -s pec:i ~ico.~ ie~ ~., (11. t1e"'k o~ do.t IIOOY 'ne.C. ~'f'eci~iee..-e..., vet.., ee... pro~f'o.""'n..a. ciezelfde

-.,ol:;o..l;ie k.a;r, loJo.,..d.e... ~e.l.ra .. dd:· Alt. die voor het def.<t~i

e.."e"' vo....,

ee...

~l:o.be.""'•"'t.

(25)

12

1 . ljeeC voo.,loeelde.., \10..., a.cAI:.o...,~t:.e"" n-.eb b_~jloe\...oY"e ... de l:.oe~ta ... d5 be. -!!.el.."5"i.-.~e.,.

2. L;ee~

ee ...

d .... ~del~k.er -speci~<co\.1e 'JOLV'&n •

a.. ~erek.e., \...e.b "-Gl.Xi ... L£""' vQ.., t.wee ~-etalle ...

b. Je,.e k.e ... -"et.. vef&c;~i l '110... tQee ~eL.e\e «)el:.a.lle ... c:. Qerek.~ de o.\t~ol\.o.k w

a..a '

cl

e

vt.-11 ee.-t ';)e

to..

I .

d.

Ber6.~t

de

wod::el \A. <t: ee.. -,e..«)e ve., ~e l:a.l.

e. 13 e.- e

k.e,..,

~.e. I:: :>•l~}'...,t va..-. 2 _~e'3e.ve... Y' e..d .. 'tQ. 1-o •

t·

Beteb

de o. fw.et ;..,~ va ... d.e k.teu .. ~te recl.tthoek o,...., ee:t....

se<3e"e""

Y'LA.d:;.

~· 9e;a..a.l

ot

ee..

'3e'd.eve... ljeta.l pn'e~o. i~ .

h..

se..ra.At

d~ )1. icldels t.e. Y'(! .. j _~~e.,-e... ~e.l:a.lle~o .

..

~H!'ye,lu., 0~ eeM Set' £.e. ~eto.Ue; ... ~eorde...d. i$ t1'1A r ~rooHe..

J

&ere.

U1-.

de. orrefvlo-k.te VCb• ee ... '3e~eve~o r"ukl.i.oe.k...

3.

£;e.'Je.'"'e"'

1!\j..., "i

r"'...,l:;e ...

:X,Y,2,P i.-. het pl(lt..tte vlo.lt. <jee ... d.ft'e ent(t"" l~~~e;...,

or

u,

Yec\,l:e,. :De J>l.l~te.., li!~.., 'Je~ev.e.-. doof' ht.c"'

~.

( c:Je.\..e.e \

~~lh:~e) coon:!if'\ a.te ....

£c..l...r~' ee ... f'"'"9ra...,.w.Q. c::la.t. ber~'"'- ol

P

loi.,,.,e ... d.a. .. tJel b"'ibe..

A

X Y2 ll')t .

a.. CjeeC. c.o ... ~l:-a..o....r op <.:lei!e op~"""'e...

b. (jee. ~ ee.~ ~reei~icA lie n..el: pte- e .. posf::-c.oy,d<Ue.

<.:. M a.o.k.. de "f<jA"e. .

£e ...

"'"'~

:Zo

d.co,.,.

pe.,...,..,..f;o.f::te va... de ')ei:c:a.IJe,.. '1 l;ol:- e .... ....,et; ~ .:s e~"' ra~~!>cl.ik. va.... d.e-ce ~etaU e, .

a..Jot".d.e.. de fBr,...\l .... l::o..b:e~ VQ.Y'\ de. l3c.t:olle.... 1 t;./..., 3

~~etle-IZ3 • \32.,. :213 > .231 312 , 3 .a.-1 • Alo::l ... s op9eso .... d

-s t;a..,a..,.

2-5

leJCi&o<)n.t~is .,.J,.. ')eo rcle ... & o.ls <}e.t.a.l ':}eleze.., .ii:G\.0.., l!e ih ~l::::j";le .... d.e vo~orde.

(26)

.u

a.. Cjee~ de per}'loow.t.CI.llte' va. .. d12 qe.~:-o.lle"" " t l ....

.c.

i" \exic.oc;:,ra.Fw..l..e vol<jol"'c::le.

b. De I ex.,c:o~ I'"CI.

C:••c.\.e

o p vol5e1"' vo. ... ga.. .di t r\Q. •

c. Bef'ca.a..\ de lexic.o~v-o.C:Isc:.\..e. of'vol~er~ v.a..-.

vaa. 1 I>

t

3 S" 4t 2. • d..

<;eef

ee ... VQQI"{oc.hf"i f I;

VQ.h de ~e l;a.Ue,.. 1

ka. ....

vi ".::len .

Test \tel voors.c.~ri Ft: ...,e~ 1 ' 3 Lc

s--

b

t-$"

r

6 ~ 3 :t 1

en

r&'"-ttl~.,

Ud:voeri"'~ va"' 5)' j.., ee"' toe$bu.cl die. a..at.. P voldoel: eikd<~e tj€t;)O.Hhu:les-rd '" ee.... l::oes.b.:a. .. d. dict. 44.,. (Q voldut. <jee~

c.o""""e ...

ta.C~.t" op dtL 'lo\~e.-,de \.ewer'i~t~ew.

a... Als .t Po}

s

H~o~ e .. t p 1 ~

s .{

G)., ) ~

..

ook.:

~ i>o ,....

_P.

)

s

_~_C(o1\

Q

t

1

e""'

t.

~0 v f',

l

s

~Qo"Qd

b.

AI"!!

t

?} _~ -lQvR1 d.4.1o

.t

P\

s

~ Q

!-

0~ .t Pl 'S> ~R~

c. Voof' a.Ue

_G

_~eld~

t

~o.lse)

t;'

t(Q).

(27)

De

t.oek.e ... ni"'':)'Op.::lrAc\..1= i$

ee ....

O~CLt:e ... e-.l:. i~ l.EI:: hltol3el~k. d.e <iJi~e... t-Iel. f:.

"4"'

~1oo~ bel..cJ..,~

i,.

coeiol:a .. d. vii."" c::l<. 414to ... o.at t;e

<J'j-.dat de betek.e...L~ ervo.~ d .. ~del.Sk:

Veel

voorlc:.o,.,.e .. de foLAte .. lo~ de i~oottt"od~o<cl:.ie \10.."' dt> toe-ke ... i .. c;)-'op.

" Door X~= E #

N"

_"' X~:

E

,, kA nela ~e).~;~lp ee.. r,..)M..-de

va.,

de

l;oeJc.e....,;,.'3~o)l'df'Acht:-9eve.., ; '2o ~elch l"'O. x. :,. 3

k~oc.., je . o..o..., ee._. ..;a, c:.o lte le do.t K::. '3 If •

')(:.:::'j e.., Het: J,es~e

ook x :

=

"+

1

ea.

x:::. -"

de voorbeelde..,. ook. cuser~.:es.

B~-1oor 'beelol : -lxao\ )(::3

-i

x::.J'!s tx.:)l t ){~ 1} .t)()!rj -ix::2A~=3l )I':::X+I ~ X';."f} "Jt: : 2W )( ~ lC ~

I"'' \

x::2~X +1 t X')11} 'I(·.

=

)C ... ~

Oe ''re91!d "

va"'

de

d.ool"' de k.la.~ ntel::

toc.k.ehttl"5 IQ.At: ..._ • ., ~e~ beoe.te

0}\tdelli-.

o.c.l..\:etee.,.,ol3e"'' l..5voot'bee\d te vr~e.. ~

'W

O.l: 1

te ....

-...~~o.ste I

de

sl:::ippell:jes s 1::: a. a."' ~Mooe \;

e..,

0? {

\

-:t:.:~'X.-4-4

t

'X.')1&}

t

} x·.~:IC'.-4-1

t

~

=

1} ~ } :x..:::-::c.+-1 ~ '%& ~

ao }

(28)

25

£~:

t

l

;~t·.:.:le.+1 ~ _"''tl6~

.{ } 'X.· . .:: X If :x. ~ ::t-)16\

{

}

'X.~:'X¥:-t _{- 3}olf =-.. ~ ~)

•&l

.t

l

x . : : X.*.:lC..•ll. -bW:.X.III-X+Z. t '::\...~

,, l

!>o.o.f"'" Q.cu.J::.

La.

ret' de. WG..t

tMo.e.i.\5

k.c<

{ _...

_l

_"-

.

-

₃ _{~ :x.:i.l}

t

l

'(.:::.3

_\

:lit."' -4

1 !

} "-~=lj t ~ ') 0

l

421'1 V't6-~81>t 'l"leltl't'

de.

jv-a:s~ke\d Vc:\.1'\ b~ll'oo.-beela(

~ -::..'>11 jll. : ::.. :X. 1lf :IC. -1. ~>1

l

-t~~ol ;x.::::-x+;x.. lx.>o3

\ X>O " ':) )0~ ':t : ::. .X. .. ~ ~ 1 ')0

,...

ij>O}

b~voor bee ld

t ... }

':1.:::.

E

~'li..>Dl

~ > 0 s ta.o. t .

(29)

Wol""dl; de

-~ ; "t\a. el.k .. s~o.te.,.,e..,l: k..o~oot ee.n p~.c..., tko.., ... o.. tt~et ... ai!o..,deri~o.<je..:

voof e..-.d hodt <3een pu.,f:ko,...,H.~ ,

voo-c

eJ:!£ 1ot1a..~ .

5ee...

P"""'l:

ko

....,,...o.. ,

no.. c:le. la..<:>-t-.;.l;e ~

k.o ....

t- ee., ~ ~.c. .. t

De.

pv. ...

!k.o..,,..._o.

die,..d; Miel:: oh sc.\,e.&:der ¥<:111

-st:at:e....,e ... ts

~a..a.1'"

a.ls

f'l~kl.<..el"

va""

~to.t~ekt!>

.

Met:

\x_)., ....

lp

'/QH

de P""'tk.o ....

..,.,a.

r.Jo~'de""

~tol-e~e..-.ts O..O.l'lee""'9e"'e'e"' .

HeJ:

i~ te b-eere"'"e"'

d.o.t:-

d.e

r~"tkoW!k..O- ~l~ sc.~e~d~~s'jl<').,kool

bS

c::iec.l()..1"o..~Ce~_ Wol'" dt: ~e

br&.<ikl:-b~

voor

beetd

l

De

&.~.il:.le~

""11l

de Go)'tca..t.e ... o.l.ie sc.l.,epb- )'\1'c:c.

vee\

y:H·o\:.le""e'1 . Beke...,de VOoY"bee\de.., a!jn:

tx ... )('

1\ lj= Y}

i)(;:.)(~"~=YJ

t

x.:X

"'&j.;,

y}

x~::X+~

j

~:::.x-::1:,

)(::::.X-Ij

..fx:YA~:X)

'I(:,:)(-~

J !j:::.X.t-21#::J

t

')(::;)(_y A ' ; = X+YJ

~:=X

j x:=:J) c;:::i!.

.1

x=Y A

-~.;,X}

E"'

dc.~Y"o..a.st. wrtero.ard d.e._ OhJL+u;l::~

~

x..: X' /\

~.:: Y 3

x.:

""~

j j :::. ;lt.

-l.

x = Y _A.

~=

x}

.f.x::X

"'~::Y} ;IC.::x-~:, ~::x.+-':1

{ ')<.:r:.X-Y

""~-:.

X+-Y3

tx..:-X~

x : : . : x f f - X . ; , x::::::XI(f-X

{x:X~}

)p_3

o.ve :

(30)

E4rhvOKc::li~e.

. \foor.beelden __ _

t..e.-:

ill""_!le.Yc:ll:ie .. von.. d.e

_,;.e..1ed:\!it ...

:;r ~t1 . .

de.

i>~;:-e\c.el'lit'\9 V'.Otl'\ .

he'=.

b'Ul)til'I'Jut'?'l V'Q.tJ _ c&Jee . 9et:a\le~ .en de bet"ekeni.,

9

.v~_,'L de.. Q\o.)oJ~.Ate wa.a.rde. 'll~_,.., ~et-\ ~

e.to.l , .

De .. 'onstrw.ctie. .VC!tn

heb ..

"l;o.te._,e.., t .. ~

8 l::.:he,.,

So

"-L~e

5,

i$ lo~zoT'Id.e,. o"9sl~o~lc.k.c:~

.o..-... de vol9ende 1'ede.,e.,..., ..

.. UJ. ____ ber_ekenin-9-- .V'O..l't een .. pYe~_t-\di.~ie

····- .. eeY.'I '3ekoze... sta.tel'Me,..., l

I

lv'tf"t neV'£nco>7d.ihe'e : .de <J144td. .

le .. tere~ .. (.,.ee<~o't::o.l) cu..d.et"e ________ ~IMlrd s. ·--

2o

Y

i.l"'dc

w,e)'t.. e:eY~

..

.:5ot:.t&cc:t:...,...,t __ Q.\!o

tPl.

i!.

So

l:\se.J! ... \ 1' A.io

l

So t~l

o"'O-'«t:'2ic \,J:elBke

g

1 ~ ~9"

g,

3

45t

tQl

Ba.

l:l..e!:..., .

~ 'P J\ L

l

Sa.

3

Q '!,

-

_.

.

.tf.~

. .

.iJ

B.o .

4\te .tt'h~iol \~

&t

b-~e_., {PA .,So"' -g'\J

s ..

..tQJ

eJsp

{

1'" .,

fo "'., 8

1l

i ~

(31)

-'~)

'"e

f: al'f> 9elfol'

z

fJ >~olst

· w:

t

lttee,.. be..,~:~ove,...pl&c.ht:.i"'9e".

~)(.;J,~} ~::X { M : ""D.x. (Jt,~) ~

, itt1Cl4.t" __ h_et ~-fQ.O..L£ . ~ f"O,'t"AM)MQ.

t cr~.t.e} ..

iJ

1C ~ ~ ,... """::::.X

a

j'-'X - ... : ... .j ~i

t'M

c ... ,. (~.!1)

J

'" ~"" P.cuc AL ltlel .-,.o~•Ljk.

S

e .... ...

8

't1el: o.la 9evol9 d.o.t VYfJe9tgdi~ be:slis:si~<~~e,.. lMoetea-. !.Jorde.., ~e.-,o .... eM •

. ~~ ~e!: ~t"O~'('"t:l Hot 1'114 Cl

_me\:. het 00'3

or .

e. ~f.i

c.:

e..,

l:te

bol:::

lh ,..

"'So , ee.., besli~sih_9 die los .st:.a.a.t vQ...,

c.o,.rec.tl..-e.:d

~" <lcu)r\I'Q.I1 9esc.lte~d..e,., word.t ~ehol""&t\.

d.e

~elecd:ie ko""t:.

d.a."'

ook ~et ''co~Mpov ...

J

sl:.ol:.e.-..,e,.,t 11 o ....

cle hoek.

k~

k.e.., .

nit:

'fer~

toor

t . de 4i

l:.lej .

De

Ct;Jn s \:. r~A-c:l:: i e

If

8

t:he..,

<;;

. IAo.l;

2ic.h

slec:.kl:

a.~nober"eH.

De

bew~s verplic.-~bi"~

p".,S

11!1;1> Q, voo ('"

.t Pl

'1

s

~

$

-tQ.\

wo..-dt

~e""A.kkelgk. ver-.~ete"'.

(32)

29 ,

... Ac:l.r'. b~'(oorb'-e\d d.e .. 914o.rded . ,o....,....,o...,c:l_lA~~"'Cl~e u.it:

L11 .

. Wcanttl: M1e~ ... PAS,AL l:~

ho.nd.l.u:a.vc.n

d..o...,.. ....

i~ -~-at eJ.A.vel 9e"?oe,..,d

o~-oder-lv.L. op I: e. lot..ft.a.-., _c:loor de '"' hod.l4.c~re VO/M. ~k~p

.

A

rnoto.\:te. wor:-d~

~P}

tf

B t\e•~

tr"

8J. 5

.tQ\

tls~

-tP ...

"'tn

.,.k.ip

~

Q

~

·tQl.

De PASt:..#l .. l.~.~veM t.·e. OM. \tkip. te . t'lol;erel"' .. d.o.or v-u:et:s. l:e .hol:ere"? kJotd.b i*t

C1l

ver.gelek.e..., .. ttt.el: .

de

.c:l-f'fY"4cak

o.,.

lo1~.Ll l:;e "'oJ:;e..-e....

doo..-

"'ll"e.l:s op te ... c\.,,...~ve ...

- _tp} .

d.i<L~'"'""""e"' ttY~ i!'iet- l!o'.., p l (U).~je

,

\

,,

s \:roo-a i~1'"a...,,... ea. .

er

D.ls. vol«3 b ~1: :

. V4e\

4u.~c:lel~k.e,... l':~~.

a.""'.hol;a.l:ie. Ove'l".:,er~io

l.4t;e..,

veel pto~Y'o.""'""i?-'~

zrcl, n&e t ____ l<ttAk k<.l~k.

op

eew

A~

(33)

30

til .... \ht.:r

f'"u"t:.en ..

X

,Y ,

P

e ...

.Q. _ i.)l

he~

p \

a.l::te

v la.k.

'2

9""

'Je.~evev.

door

ha.m

~e.1.teelb::tlL.:je

.

c..oo..-.::Li~o.l::.e".

6c.kr~E

ee."'

pro13Y"O."tl"\<1

d.ta.~

bereke,.,l:;

o~

P

e.,.

Q

Q.Q.J.t IJeerse~de..,

va... de

y..-.

door X

e .... Y

li9c;)e"" .

<.'O. ~e~evea.t 2 ~"'\

de

l~11e., {

e.,

h1 i..n

he t

f

lo.&t:e

vlo.

\c_.

. W\tl. . d.o..~. 0.11..., de ke»leo..., llc1r~c:a.lc,el$ c..

de

t..>Q.a;r-de

LC.i t op~o.ve 2 .

~c.hr~' ee... pfo~f'4'"

• l

!)..,~d t ""' • heke,.h .

.. Mo..QI.k.

eet\. c.olledie

VO..V'I

ee"' ..

Moi ..

s.l:.e. .

1o O}'~t:t.ve.... die. k~.e.l111e.., Wof'de"' op~elost:

..,eh Cje'b,.."';k.. .VGht ~kip, o.:tofoi5"~'~.._e ... l; , seled:ie eY> c:.o~cc:a.l.e .. cd::ie.

1'1o.Qk..

~en ~ra.'"""'a.ti<:A voof': boohe e>~pl""e.$~e!o

£..oUed: ie c:I.04r~c,j ra.s$e..,de or~a.ven.

• h

De o.tl::ef'.ho.bt'ell'e sl;-o.be ... e .. t ~.~.·t::. [.1] .

Se6\::lo(c:ieer ~r~Q.V~n 1t col:- .t6 l(it (11 ... F'l.lioetiol\e.le. -spec.ific.o.bie• e ...

II be...:t ~r.ve,..plic:-hl;ililje.~'~ .

(34)

11

_De

Ye.petitie..

d.a.a:fe,.,r~h .

....,el.

\eedih,9 i£. ~ewe"d o,..; b~ ohset"vtt.l:.le!. l.:e kjke~n }1a.a..,.. I.JO.!: verQ n de,-I;

... ,.,.iec "u:ta.r. 1..\At C11 va.r'".:a. ..

t:

\,ly

h ...

cs4e

"re9el vo.'"'

de repei-il::ie

..

.e&,.,J.tgi"9

b"'iJe,.,

bescl,o"'""in~.

K\As~tek. voorl?eelcL

voor

de

i"laoJ~.~.e~le

vo.tt1

"'et::

keet"t:p

, ...

va..-14""-l:-

C$

de

bereketdt\j

Vlln

de

g.,.oot61:e 9e.,.er&e

deler

va.,

t~.Jee. po$i bet'~

'3e\tele.

9e

b:dle"" .

Andere

voor-b.ee.ldth

z~...,

.- de. bereke.,;)"'' v:a,.,

hef: . prod~.A-c.:f:. vcbr .. ~ ttDl~.k.u.l'l~lce. jeb~.lte..., .fo"'dEW 9ebruik. _t:e ~a.ke.-. llti.M

- .*

- 1ft

a.c.L

h

ver

},e ~~.., ~ •

de ~e~ellen vor:>rbeelde,.,

PA""~& ~ &

~P"'

s3 s

~PJ

o.a .... de.

or

de

e."'

worde.,

d

t-Hoe

een

·9.esd ..

iktL ,,

var~a.)'li:.

te.

vinJen . i~ ..

ee...,

-za.a

k.

vr>or Lo.l:.er.

(35)

).2

D-e..

c.o ....

,~,."'~.b.ie.

. ..

t.)hil.e

B

4.o

_t; . ..

\lo.... PA~C:.A

L.

vert:oo""t: de.i!~IN:if! ~·

brek.e...,

.. _ ol$. 4;

e . !1'4~--

de. .

ftefee~·:e

.

. .

.Y'et~tl~

lc.

~~.lfot>~beeld

de

'3~d-

o\,ori\:.._ce, _:

_

~.:c:lec:L

-.c.o ...

""'-"""d

L:l"'""ct~e

..

f'~~'-AL

~ X>~ ..,.... . I U : X-!j l..l.\.de x .;. ':J

do

. n

"J">

x ----"~-- . ~-: =. -~~x

. l.F ·"

>. ~--. ~ .. )( : ; X -~ . . <it I' e. ~ ·.:::. \j ~ X

-~

. ~~41fded .. c.o.~too"'aD.r.t.~ . ~~I.Ao.,e ....

. ___ d.o

..

0. > b .,_~ ~.b.:=

b...,A

.... D .

b")c .. ...~J> .

kJc ::::.e,l:.

.... B

e >d .... ~ ~,c:i :;u:Lc.

Q.d

PA.S..<.Al

while

(a> \:.J ...

qr ..

J.J,_>_t;._}_

o~.

_

t

~->

d.)_

~o- .

il ..

a..>b

.c\..e"'

~Jt.!)hl

\..:c

Q. ; ..• o.:::.

b ;. .

b ;.~J. e~.cL .e.h.~

if .

b

'>.c bl,e~ _ be,{~o,

\a·-

oo;~

b

_, b:F C. -~· C..' c

.h.

l!a,4

eJ,e.

·c

.1

"~=

c. .;.. .( :.:..d.

; d

~'!:.k.

e,..d ..

(36)

-.A.

Js het

vno~eljk OW"~ h1et een

ever.

a.~.,ba.l pa.o.Y"de~rrolll~n

va"u.il:.

een

hoekf"',.,t:

.va.11

ee"'

-~S>c.'bo.o.k.'bo.,.d elk VQ.Vl

de.

a.,d.ete 'noekf''-"~'~l:e.., te bereiker.?

b ..

B"~5i cio.t op. e~

W xN

~c.kt~oa~rd. elk.

hoekpu.rd:

va.,VI.t! elk. hoe k..~""'"t;

~e

bel'e.:lc.eh

\t ~toel: ee"" o..o."to.l po..At"desprol'l~e.,

dAt

ee., dn:e"ot....d ~.s. (

\\1

~3).

\Jo.t:

hee~t

opCjo..>/e

1

""et

.de re.p41t!:-it:ie. '/a,. cloe,..

1

.. Be.d.e ..

k.

O.I1Gllo~e "T'~GI.vE',.,

.

. .. B.era.o

l

?

:i!od o.n.i ~ .

do.e

votJo.a.,

i' AGl.lot.

~.

{ Pl

c.1~de X.tj.l)

do

)(

.

~

-

_X+1 t

x::o\

"

.•.. { p} w\..;le lC<O QO ,..: = )(+"' ~ x ~o -~

c: •

{ P}

t.J~'le x <o cl,2 x:.:::: x+• { x~ o}

d. ...

tP1

w.~de

.

x:~o do. X.: : )(+I ~ )( ~0~

(?robee,-

p

.20 '2~ak. ""-O~tt.;k l:.e

k··e

i!e"J

qee~ ee"' deJi~i

He..

"a.h 11 de ..

~r..oQt~ie

<3e ...

ee ...

.,"}.,Q.f'pe~ke

.deJe.-

v4...,

ttJ-ee

po1>•'Heve

(37)

Se1.eke.n

c.3e.hele _g. en .b 8~-~ + t:dl b = Lf _g,.e~d

·_

he_e _

pt'o~r~l"t.woa. ...

!. ..

..X>O. ~--- Y>ol . . ~ ..

!1 ::

.X,Y ;. .da. )(>~-to!.. x:::_)C-.:1 D ;;>x -+.~p=~-"'- od

.... L.>e

=

!J _;;;_

,_¥lx.~ ~J

1.

2.o-lo.,.i~- uit: ...

.d.o.t:

nta. A~loop l-e~e":S v'ol.cda..a."' .i~ a.an a·X+b·Y=~.,d(X .. YJ .

. r.ereJ:.;b.ie .

.een ... ormerk.in~ t.n d~. tr:an~ vo.n

__ ''J..,die"'.

de .. l,aoJu

~xpre~sic

'i)l>beel ..

IC'lse

.is

£o~ordl:

de

-sro.~e-9#'\~

.hiet

___ t.Sa.l:

.i~ . t.u., ..

c:.a-""'..,_e..,

e:~o. r:

hi•ro.p

? ...

~:.tle~t iilo v.oor ....

h

_The K•et' iS. reftpol't6i~!e roY". 9""6t""Cll'lteei.,~ t:;kA.~ l:he ,o,..d~tiOI'tJ