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iserlgqcuulq soros son8uol q i-llS lerlgssnor
rrou â8BIOd
u 9J :sflgJ sol rns sârlgrlruulq sâsnounld
saros sân8uol
op ?l?ru rrou oSulâd q ç-tr iselulc snld
sasnounld
sQJl sârOs op âgsseJp-ruos âlucrdu eSuur;
oun uncsqc
)oLE, E-\I irrou e8u1ed q gt isorrou sor0s
sosnoJqru0u
op glgruârluâ ârlgsrr8'gnoc
snld eSuladpztixuroql nu
â{uru0J 'rrOu op glgruoJluâ luâuroJQ8gl
'gJop e8e1ed q 11 erNuc
unllelnJs nu l0 unlOuos?tu nu soJr0u
s0r0s sosnoJq
-uou op
?l?urorlue iaulnSgt sâp rnolnu
?ru0J snld
luou ?ssorp 'rârlnïgt p 'euqrc su8 -oJQ8?l
'esuep e8u1e4 unlOuOs?ru
to -oJd nu soJr0u soros âp 9l?ruoJluâ
lo Jrulc snld 'soJnold sop suq
n3 srJS ol SJOA
luussrc 'esuep a3u1e4 n gssoJp 'Jorlnflgt unJq Q ?Jop -Jr?lc9,s
xBJorlI
xâuo^ nu soJrou sâros op ?lguIoJluo oJlgsrJ8
e3u1e4 xolJo^ nu lo
luo4 ol rns 'sn9df1c np osuq 3l
u soJr0u saros sâsnoJquou
sQJl ep 9l?ruoJluo ilOp o8ulad
0lgJ
DUOSn
Sr y#
gllsoId N
elqrsrA ourâd
q I?sJâASusJl tol8uo(l )o^u
10 oruslds uOu 'onpuol?
surOu ousrp?ru âJr?61
co^? sruu stul$o zâr{3
oruruos ol?Jrdu sâros
op oJJnol
oun(p r^rns Iucrduqns
I?sJâAsusJl tolSuo un nd lusu
-rruJâl os oss{
le oJqul8'oruuldu âu?rp9ru
oJru oun 9 allurals co^u
oluouftu9Ord suroru uorq sr?ru slu#o zoqr ouruoJ sâJrulncJrJ-rues
selusJo^suuJl soJnlouusJ sourJ 0p 10 ailorssB
u0 s9^010J
spJ0q sol JO^? 'âJr?lnqul 'oluourrugord
'ognbmru sQJl pp6,td enbuld
(q 'AU) âItgr{cuulq
oqru1 oun,p ognbruru
ârrul
-nSuurrl oJqJns oun uâ
?lnugJlxâ,1 sJâ^ luussr8Julg(s
ousrpgru ouQJsc oun JO^B '(gsoduoc
IIæ,1 op Jnâ8Jul
3l sloJ g'0 = IrJ0rd op ocuâurug0rd)lusurru?OJd surour
oJTBIJ ânbffUr SUUS 'âJrUI
-n8uurrl âJuJJns âun uâ glnu?Jlxo,l
sJe^ luussrSJul?,s
âusrpgru âuQJuc oun JâAu '(gsoduoc
IIæ,1 op JneSJsl
ul sl0J I = IrJord op ocuourug0Jd) luou[u9ord
lueuego;
sn9df13
(q '8rJ) osuq ul
op norlru nu orlgqcu?lq âqcgl olnâd
âun câA?'pldlncs luoruâlJoJ
'Jrou fld1ncs
luoruogoJ sQJl'Jrou arqBl
(9'3rg) esuq
3l ? oqJuslq âqJul âun
Ja^u soJr0u
SOJIOU
soFqlpuBW
lv+gv+çv+tv
enb Suol snld uelq EV : IV
= 0I + I I +6+ I I
LV = +Ç V+
çV +|
'L V
= V : tV se lc IU B
sop rnonSuol 11 1 =
EV np Iutsrp erlQruur(I
lv+gv+çv+?v enb
3u o1 sn ld a ur od EV q
? = i6 I+ Z ZI +I I +t I
LV = +Ç V+
çV +f '0 V
= ç : EV s elc lil u
sâp rnenSuol 11 1 =
gv np Iutsrp erlQruercl
(urtu 0[0'0
= pfrun) 0uu0luv
sflrun I9-09 s9llun vL-69
(ulu 0?0'0
= olrun) olulp8J Jnen8uo.I
ruur 8t-91 uru oz-LI
OIIIBT
DUNSD
stut/.lD
0JnpnJN
eruerd ep s{oorg otot4dorqtuotqdo7
âp safiorual sep êIlequer,eJJrp
esou8urq -'I nealqe;,
VT
INOWSVU'd$rq[os?u lo -oJd xnu soJrou seros
su?s le Jrslc snld srcw
sruûD zor{c o{uruoJ
pluoSru e8u1ed np âtsor
âl Jns lueuouoJ lwqcwJl
"aJop sosJBl l0 $rqp
sâp sâros :x?Joql np
rnlec ouruoJ pluaSru
su8 sJnru?J lo sJâluur{Jo4'seqJuuq sâp e8u1e4
surqrlosgru lo -oJd xnu
soJrou soros su?s sr?ru slutp zor{J oruruoc
slu#o zâqc ouruor gls
lsgtgc
sol Jns sosrJ8 le norlru nB soJrou sâros R ç-lls
!srutilo zor{o oruruoJ 9J
isetlgqcuulq sâros
sân8uol op ?lgc âl Jns 1o saJr0u soros op âssoJq
âIJOJ oun'narlnu nu 'co^u çI :sosnâunld
sQJl so8J?l soros op sopwq 'soJlgr{cuulg'so?qJn0c
op sauo^n0c t-lJ sop
olucrds soSruru :(tJ
nu en8uol snld tuouerqSgl)
sâgædsâ
le sogs e8u1ad sQ4 ep seros sounoJ -sâJp 'seJrou
un t-ZI :soJnold q 'JO^u eEmu Jnâl 'ernerrgluu
sol Jns âuruoJ aruQJc
gssâJp e8ulad q II
sâunoc
snld sâros sâp co^u sreut stut#o zâqJ ouruoc
!l$ l0r190ssn0r rrOu soprBr
soros Q t-lls
lsrut{h zâqJ oruuoc 9I
iglueSru srJB sâlns
-Jrq to sosnounld soros sân8uol
op o?ssâJp â3
-w{ o3æl oun,p UO^n0J
IuJrdB pJoq rnol luo
[-il sâl ielnsrq rrou aSulod
q ç-Ef lsen8uol
snld sâJrou sâr0s sâsnâJqruou
op 9l9ru Un0c u ZI suE eEuled -orluo 'xneunld
:nJ0ql
nu ouuoc 'elnsrq pluâ8ru
su8 oEslod q tt
sounoc snld sâros sâp Je^u srsru
slulp zoqc ouuOr 9ts
isgtgc sol rns so?r0p
sorOs sân8uOl op 10 soJr0u soros son8uol
op'nârlru nu 'co^?
Çl$ isegrop sâros sân8uOl
q t-lls lstuffi zoqr
ouruOr 9J:sglgr sâlrns
so?rop sâsnaunld soros san8u0l
âp 9l?ru rrou
e8ulod q ç-?I iserrulc'snld
sâsnatunld sqrl
sâros op ogssoJp-fiuâs
â3uu4 oun,p uo^noJ
I?Jrd? pJoqrnâl luO g-zl sâl:sârrOu
so?ssorp
sâros sâsnoJquou ep 9l9ru3Jlu0
Jr?[J 9J0p Q EJ xnâunld e8u1ed lo ilnoc '?ssoJp
:sârrou
soros âp 9lgruâJtuo
luouorQE?l
sQIl rrslc q zl snld a8u1ed te iln0c gJ0p 'gssorp
lâ IJ
snJJIp sploq
q oJr?l?Jâlur Opwq âun
luuurssap uruOuos9ru
n3 soJr0u sârOs sesnoJquou
sQJl 0p
9l9ru 'ollrud nad un Jrulo snld sol Jns -oJluâ lsarnold
-oun?f Q ougJo 'JârlnSgJ
lâ UnoJ 'esuep a3u1e4
unllolncs np OJnorJ9luB
o8-ruru u1 q,nbsnf soJrou sopruJ
sâros sosnoJq
-ru0u âp uuOuOs?tu
nu ?lgr.uoJluâ
:?luo8J? ?ssorp tglnld te srJS 'olnsJlr{
'osuop a3u1e4
unllâlncs np ernârr?tuu
o8mu
BI q,nbsnf uqouosgru nu lo
-oJd nu soJrou
sopruJ soros sosnoJqru0u op ?l?ru
lo xneunld unlouul?u nu ?Jop'sâJnâld gcuoJ snld lungpodord nu lâ 'un[flncs n3 sQJl 'srJ8
sâlJns
JrBIc gJop 'Jorln89J
tâ ?ssoJp 'esuep a3u1e4
xâile^ 0l Jns soJrou
soros
op ?lgr.uâJlua 'aruQJJ
'Jârln8?J lo unoc e3u1e4
xâuâA nB l0luO{
0l Jns soJr0u sâros
sosnorquou op ?l?ruârtuo plueSru srrS
a3u1e4 xâuo^ nu ln0lJns
l0luo{ nu soJr0u
seros âp
?l?uortua ?rOp-orlgsrr8 o3u1a4
o$nq0t tDdslp
Dpînu
slutt{o zeqr euuor gnbJuru
surou uorq
luJrdu âruruoJ sru\ffn zor.lJ co^u srcw -qns lâl8uo,l
gnbJuur suroru luJrdu
-qns lel8uo,l Ja^? srvuJ
slul;t{o zorlJ oruruoJ
0lu0u
-rru?oJd surou uerq srsru slulp zaqJ ouruoc âlueu
-rrugoJd surou uarq smu su$o zoqJ ouuoc
e?u?JuJ ned un olul
-srp ânJ?d ul JO^u srvut sru!$o zâqJ euuoJ
âJr?lc onbruur suus 'ââssnOu?
ouurpgrrr âuQJuc
âun JO^u '(esodtuoc
IIæ,1 âp Jnâ8Jul ul sl0J
1'0 luêuru?ord surotu np ecuâunu?oJd) = lrJord
OJTBIJ Onbfftu SusS'O9nbfftu âU?rp9ru
OUQJUJ ?l sloJ IIæ,1 op rnoErul suBs '(?soduoc
8'0 sutotu luâunugoJd âp acuâunu?oJd) = lrloJd
oJrulJ onbJeu oun uo oJsJJns suus 'âJrsln8uuul
?lrru?Jlxâ,I
sJO^ luussr8J?l9,s âuurpgru
âuQJuJ
eun ul stoJ Ilæ,1 ep rnâ8ff1 ce^u '(?sodruoc
| =
IrJord âp ocuourugoJd) luâuru?ord
luotuopo;
gtdlncs luâuâUoJ sQI'JIou
fld1ncs luâuogoJ sQJl'Jrou
ptdlncs luoruogoJ sQJl'JIOU
SOJIOU SOJIOU
SâJIOU
tv+gv+çv+tv = Tl+El+T,I+Vl €V :l S snld uârq ânb ilnor
= tV+gV+çV+fV '0i =
EV : sâlcllu
sop rnân8uol :zl =
[v np Iulsrp ârlQluslo
lv+gv+çv+tv W :ZV snld uorq enb 3uo1
I+l I+6+l = I
I solslilu EV : '61 = = LV+ÇV+çV+|V
sâp rnon8u0l :l I
= [v np lulsrp orlQruur(J
tv+gv+çv+tv t = i8 €V ld r sn no b U on
,I T +Z I+
I I+
EI solrruu tV : 'Zl = = lV+gV+çV+fV
sop rnân8uOl :l I
= [v np l?lsrp ârlQruur(l
s9llun çL-71 s?lrun çg-gç
(s91un 89 : od{lolrâl) sgllun
89-89
ruru 6l-ll urrrr çl-tl
ruru 6l-91
ntsnq0t Dpînu tDdw
çI
(e1rns)'I nBelqBI
aruqu ap qroqdoqruoqdoT saT
sâglgruâIuo
soJr0u s0r0s 0p surOru 3e^u le
sesJ?lrwq l0 surqrl xnu
?ruâsJrslc snld e8u1ed e1 cenu srEtJJ slu$o zâr.lJ oruuoc
wrqrlst?u sop oluJo eSruur e1
q l0 sJnueJul9ru
sâp gl[u?Jlxâ,1R 'solBsJslosgru
soss0Jq
xnu sârrOu sârOs
ep glgru erlgsrr8 sellsd
sâp o33lâd s0llBd
olr0rlg snld t-zl sop
âr âruruOc sru#D zâr{J sr.wnoprJnulc ?l co^u -mlc e8w{
sosrJ8 soros q ç-lls isgtgc sol rns
sorrslc
serOs op ?lguroJluâ luauorQ8ol
?ssorp rrOu âSulodu
t-vt sosrJ8 eun lwpurrssrp snld âlncqnJ lo oJrulc iaprcnlsuurl
sesnounld soros op âpuuq oun co^?
E-zJ sop ornârJflsod
e8;uru igsserp rrou â8ulod ep esuq BI q Uâ^noo
EI :Unor sârrou seros :segl?ruoJluo u ZI e8u1ad snld srr8
su?s
sruu unlou nu âuruOc 6ouâJJ-srr3
e8u1ed 3uo1 R II u0uopqY
(nptmw zoqc onb Unoc
snld luoruergSgl) Unoc snld
srcu sUtXD zâr4c oruruoc
uuouos?u le -0Jd xn?
soJrou
soros op ?lourâJluo luoruolQE?l rnolnu runrq 'âuln8?l sop
orlgsrrE e3u1a4 xBrOqI
ilnOc Snld luouoJQ8gl
srqw srm[o zegr ouuoc xau0^
nu le luo{ nu sâJrou soros âp ?lgruâJlue âIgsrJS a8u1ed
eæJ
Dwo30
syt[ln gflsoId
il orn8rJ zl ârn8rJ JrO^
sBIIBllu9C rr0^
sâ8rul anb s3uo1
snld sroJ ç't uoJr^ue 'sarrulnSuuJpenb
'srssredg uou se8rul anb
s3uo1 snld sroJ t uoJrluâ'sâJruln8u?Jpunb'srssrude sesrqrsBq8l?l\l uou
oplsrp-orglsod aurdg suus âlutsrp-or?1sod
aurdg âilnoc soJl âun s8tqt|Br9l^tr 3â^?
selQIIBr?d enbse.rd spr0q q'srssrudg uou
solQllund anbsard spJoq u 'srssmde srnruaJq0IN uou
(S '3U) sâgruosrrulr
sâros sân8uol sanblenb
âp egnl op JnoS 3l 'olcruu,l :rJ-rnlec rssnu lso â3w{ sosJslsrp0sgru onb e3ru1 oun co^? ç'z R z -psuoc ossoJq -rBI ?l sloJ
op âs?q
?l q :sâgloq$q ourâd Q no
sâldurs sârrulc sâr0s
op oJnorJflsod e8uurJ on8uOl
eun câ^u sosJslrsuq0s?ru
(t '3U) s?rles srrou
slrod âp
âsuop lâ âlJnoc OssoJq
aun câ^?
sosJslsrpos?ru :r3-rn[âJ
op rnoS"rul opuur8 snld
ul sloJ E Q ç'Z enb an8uol rssnu
lsâ o8w{
ul 'olcrtJ?,I op ossq
3l R :nârlru nB
sâJr0u 'sogloqffq soqcuslq âs?q ul q Q lâ âp xâd3,1 'e1cqru,1
sor0s op oJnârJglsod a8uur; an8uOl
câA? sosJulrwqosgru alBsJul0sou
ass0Jfl
(gsodruoc IIæ,1 op JnoBrBI
3l sloJ IrJoJd âp êcuourugord)luâu[ugOrd I = surotu
(gsodtuoc IIæ,1 op rnoErul ul
sloJ g'l
= IrJord ep ecuâurug0Jd) luourrrgord
lueuago;
sn9dri13
(Z '3U)rrulr ounul
(t '39)rrulr aun?[
IBJTBJ ulssoo
gV+çV+?V ânb Suol
snld uêrq çy lsrurffo zoqJ ânb
socuru snld souuoluu
ig V = ,I T E = + ft l+ ) Z ll+
= r ll V+
gV +ç V+
tV oJlQruBro np Islsrp = [v €V : rnonfluoliTl 'IV =
9V+çV+7V onb 3uo1 snld nod un
EV :(od snld souuquu sâssrudg zoqJ onb outoSo p oprrnra
,i1 o9 u)T, g=
+( ll g€
)lI +E I+
=lV ll +g V+
çV +t V
= t w y:
In en 8u l€ ol E l = p I V n uls orl lp Qr uu r(
l (ruru 0t0'0
= pfrun) 0uu0luv
s9llun 09-8ç s?lrun 69-ç9
(ruru 0t0'0
= plrun)
alBlpBJ JnonEu0.I
ruru çl uftu 8 l-91 3J
eruur
DunSn s1u1[ln
0JnlJnJN
ocrrerd ep
$s>loorg otorldot4tuor1do7
âp solgur sep âilâquâr-âJJrp
esou8urq -.2 nBalqBJ
I
il '
I
TNOhISVU'd