113
7/21/2019 Wastewater treatment, module 8 http://slidepdf.com/reader/full/wastewater-treatment-module-8 1/113 < Jcbuik 4 ]lstkwltkr Rrkltjkht  Lwlrk cn tdk puoiae dklitd lspkets lhb mclis cn wlstkwltkr trkltjkht  Loik tc bknahk tdk bksamh nicws tc l wlstkwltkr trkltjkht pilht  Loik tc bkseraok lhb baseuss tdk prcekssks ahvcivkb ah prajlry, skechblry lhb tkrtalry trkltjkht  Loik tc ecjplrk tdk bannkrkheks oktwkkh tdk naxkb-naij lhb suspkhbkb mrcwtd systkjs ah oacicmaeli trkltjkht  Loik tc baseuss tdk jktdcbs lvlailoik ncr hutrakht rkjcvli Ch ecjpiktach cn tdas jcbuik ycu sdcuib ok7

Wastewater treatment, module 8

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Page 1: Wastewater treatment, module 8

7/21/2019 Wastewater treatment, module 8

http://slidepdf.com/reader/full/wastewater-treatment-module-8 1/113

<Jcbuik 4

]lstkwltkr Rrkltjkht

•  Lwlrk cn tdk puoiae dklitd lspkets lhb mclis cn

wlstkwltkr trkltjkht

• Loik tc bknahk tdk bksamh nicws tc l wlstkwltkr trkltjkhtpilht

•  Loik tc bkseraok lhb baseuss tdk prcekssks ahvcivkb ah

prajlry, skechblry lhb tkrtalry trkltjkht

•  Loik tc ecjplrk tdk bannkrkheks oktwkkh tdk naxkb-naij

lhb suspkhbkb mrcwtd systkjs ah oacicmaeli trkltjkht

•  Loik tc baseuss tdk jktdcbs lvlailoik ncr hutrakht rkjcvli

Ch ecjpiktach cn tdas jcbuik ycu sdcuib ok7

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?Jcbuik 4

]lstkwltkr Rrkltjkht

• 5.2 jaiiach pkcpik, jcstiy edaibrkh, bak lhhuliiy nrcj wltkr-

rkiltkb basklsks

• .2 jaiiach pkcpik ile! leekss tc olsae slhatltach aheiubk tdk

pccrkst ah tdk wcrib

• "." oaiiach pkcpik ile! leekss tc kvkh ajprcvkb wltkr scureks

•  Leekss tc slnk wltkr suppiy lhb slhatltach as nuhbljkhtli ncr

okttkr dklitd, pcvkrty liikvaltach lhb bkvkicpjkht #$%C bltl&

'uoiae dklitd lspkets cn wlstkwltkr trkltjkht

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5Jcbuik 4

Rypaeli Edlrletkrastaes cn

]lstkwltkr 

Cxymkh bkjlhb, (C)* jm+ - 2

.ctli suspkhbkb sciabs jm+ - 5

/atrcmkh jm+ - 5 ls /%5

5 - 0 tctli

'dcspdcrus, jm+ < - "? tctli

.ctli basscivkb sciabs, jm+i 2 - ?

.cxahs km jktlis, crmlhaes

rklsk lhb cai

.ctli eciancrj hujokr+j "*

 - "?

keli eciancrj, hujokr+j "2 - "*

keli strkptceceea hujokr+j "5 - "2

;htkrae varus hujokr+j " - "

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2Jcbuik 4

]lstkwltkr Rrkltjkht Mclis

• >ahajuj elpatli ecst

• =kialoik lhb kechcjae cpkrltach

• 'rctket puoiae dklitd nrcj echtljahltach cn wltkr

suppiaks

• =kjcvli cn nicltahm, suspkhbkb lhb sciuoik jlttkr 

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;Jcbuik 4

]lstkwltkr Rrkltjkht Mclis(echt)

• =kbuek (C), 4C), pltdcmkhae crmlhasjs lhb

hutrakht

• ;nnaeakht eciiketach systkj ncr lkrcoae echbatachs

• >lahtlah lkstdktaes cn hlturli wltkr ocbaks, kecicmy

cn wltkr systkjs

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>Jcbuik 4

Rrkltjkht Ukiketach

• $lstkwltkr trkltjkht ecjprasks prajlry,

skechblry lhb tkrtalry trkltjkhts

• dk skiketach cn lpprcpraltk trkltjkht prcekssks as

bkpkhbkht upch tdk hlturk lhb strkhmtd cn

pciiutlhts, 1ulhtaty cn nicw, lhb basedlrmk iaekhek

echbatachs

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=Jcbuik 4

Bksamh Nicws

%ybrluiae iclbahm   •  '$$

Crmlhae iclbahm m+e.b   •  ** - 0 (C)*

•  0 -< /= cr 77

•  0 - < /%5 - /

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4Jcbuik 4

Prajlry Rrkltjkht

• dk narst stlmk cn wlstkwltkr trkltjkht ecjprasks

ilrmkiy pdysaeli prcekssks.

•  L wkii-bksamhkb prajlry trkltjkht sdcuib rkjcvk

locut 2 - 0*6 cn lhb locut * - 26 (C)*

•  L pcssaoik prk-trkltjkht as tdk ah9ketach cn lar, C, %C 

lhb prk-edicrahltach an tdk ahniukht as lhlkrcoae

• 'rcekssks aheiubk serkkhahm, mrat rkjcvli lhb prajlry

skttiahm

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1Jcbuik 4

Uerkkhs

• axkb cr jkedlhaeli

• :kiceaty ah edlhhkis locut .5 - .2 j+s

• :kiceaty tdrcumd cpkhahms locut .? - " j+s

•  Lii serkkhahms tc ok rkjcvkb+ourakb

• celtach cn strchm cbcur nrcj bkecjpcsatach

dk rkjcvli cn ilrmk co9kets tdlt jly bljlmkpujps cr oice! edlhhkis

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Jcbuik 4 <0

Jkedlhaeli

olr serkkh

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Jcbuik 4 <<

_ctltahm r!j serkkh

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<?Jcbuik 4

Ecjjah!tcrs

• dksk lrk jkedlhaeli euttahm serkkhs

tdlt rkbuek tdk sa8k cn ilrmk co9kets

• drkbbkb jlttkr lrk rkturhkb tc tdk nicw

strklj

•  L oy-plss jly ok aheiubkb

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Jcbuik 4 <5

Ecjjah!tcr 

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<2Jcbuik 4

Mrat Edljokrs

• 'urpcsk as tc rkjcvk ahcrmlhae mrat+slhb . - " jj

sa8k tdrcumd bannkrkhtali skttiahm

•  Laj as tc prkvkht bljlmk tc pujps, oice!lmk cn

edlhhkis lhb ekjkhtahm cn siubmk ah skttiahm tlh!s

• wc typks cn mrat edljokrs, hljkiy echstlht vkiceaty

lhb lkrltkb+sparli nicw tlh!s

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<;Jcbuik 4

Echstlht "kiceaty Mrat Edljokr 

• 4ilss 3 skttiahm - dcra8chtli nicw

•  @hancrj vkiceaty lt .* - .5* j+s

• 3bkli plrlociae sdlpk cr lpprcxajltach

• $abtd7bkptd rltac "7"

• khmtd ≫ "< x jlx. bkptd

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Jcbuik 4 <>

4chstlht :kiceaty rat 4dljokr 

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<=Jcbuik 4

#krltk cr Uparli Nicw Mrat Edljokr 

• ikxaoaiaty cn echtrci jcrk knnaeakht mrat rkjcvli lhb

elh lssast prk-lkrltach

• uatloik ncr ilrmkr pcpuiltach O " kp

• %= cn locut 5 jah lt '$$

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Jcbuik 4 <4

#krltk cr Uparli Nicw Mrat Edljokr 

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Jcbuik 4 <1

"crtk$ Nicw Mrat Edljokr 

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?0Jcbuik 4

Prajlry Ukajkhtltach

• lrmkiy eilss 33 skttiahm cn niceeuikht jlttkr lhb hlturliecliksekhek cr niceeuiltach ceeurs

•  L tkst eciujh as uskb tc kstloiasd skttiahm

edlrletkrastaes lhb ecrrketach nletcr cn .?* - .<* as

lppiakb tc cvkrnicw rltk lhb ".* - ".* tc bktkhtach tajkvliuks

• 'kr ekht rkjcvli E Υ∎dh#=h  B =hB"&+#d&

• dk skttikb sciabs lrk pujpkb tc lh lhlkrcoaebamkstach tlh!. dk knniukht #skttikb skwlmk& nrcj

prajlry trkltjkht nicws tc tdk hkxt stlmk a.k. skechblry

trkltjkht

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Jcbuik 4 ?<

Prajlry Ukajkhtltach

'kr ekht rkjcvkb E βd"#=" B =&+#d*& B βd#= B =5&+# d* & B ...

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??Jcbuik 4

Ucjk Nklt!rks cn Prajlry Ukttiahm

• )ksamh tc leekpt tc 5 x L)$

• =kjcvli cn 2 - 0*6 suspkhbkb sciabs

• cjk aheabkhtli (C)* rkbuetach * - 26

• %ybrluiae iclbahm K+L ≄ 5 j5+j.b

• %= ".* tc 5 d bkptd .* tc * j

• ;vkh ahikt bastraoutach O 5 j+s

• iubmk serlpkrs sdcuib hct elusk rk-suspkhsach

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Jcbuik 4 ?5

'rajlry skttiahm 6

rkjcvkb vs tajk

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?2Jcbuik 4

Rypks cn Prajlry Ukttiahm tlh%s

• lh!s usk ikss splek

• crwlrb vkiceaty " - "* jj+s

• $kar iclbahm rltk N 5 j5+j.b

• khmtd7wabtd rltac 57"

=ketlhmuilr dcra8chtli-nicw

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Jcbuik 4 ?;

=ketlhmuilr dcra8chtli-nicw

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?>Jcbuik 4

Rypks cn Prajlry Ukttiahm tlh%s

• 1ulrk watd ?c siubmk dcppkr 

• /c jcvahm plrts ls siubmk as rkjcvkb

dybrcstltaeliiy

• cjk pcssaoik plrtaeik elrry cvkr 

@p-nicw tlh!

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Jcbuik 4 ?=

@p-nicw skttiahm tlh!

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?4Jcbuik 4

Rypks cn Prajlry Ukttiahm tlh%s

• =lbali-dcra8chtli nicw

• @sks rlbali serlpkrs tc rkjcvk siubmk

4areuilr rlbali nicw tlh!

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Jcbuik 4 ?1

4areuilr =lbali icw lh!

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50Jcbuik 4

Eare!ilr

_lali NicwRlh%

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Jcbuik 4 5<

4areuilr =lbali icw lh!

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Jcbuik 4 5?

'uitkhky (rabmk

lhb $kar, 4aty cn

(ltd

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55Jcbuik 4

Ukechlry Rrkltjkht• 4khtrli prcekss as oacicmaeli ah wdaed

basscivkb crmlhaes lrk utaiaskb oy

jaerccrmlhasjs

• %khek, skechblry trkltjkht as cntkh !hcwh

ls oacicmaeli trkltjkht

• dk echecjatlht mrcwtd cn oacjlss #ekiis&lhb suostrltk rkjcvli just ok nciicwkb oy

skplrltach

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52Jcbuik 4

Eilssanaeltach cn Jaerccrmlhasjs

Jaerccrmlhasj Khkrmy scurek Elroch scurek

 Lutctrcpdae

•  pdctclutctrcpdae iamdt 4C

•  edkjclutctrcpdae ahcrmlhae cxabltach-rkbuetach rkletach

4C

%ktkrctrcpdae

•  pdctcdktkrctrcpdae iamdt crmlhae elroch

•  edkjcdktkrctrcpdae crmlhae cxabltach-rkbuetach rkletach

crmlhae elroch

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Jcbuik 4 5;

ypaeli jaerccrmlhasjs ah letavltkb siubmk

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5>Jcbuik 4

&acicmaeli prcekssks

•  Lkrcoae echbatach M prkskhek cn nrkkjcikeuilr cxymkh

•  Lhlkrcoae echbatach M bkvcab cn nrkkjcikeuilr cxymkh

•  Lhcxae M loskhek cn nrkk jcikeuilr

cxymkh out prkskhek cn hatrltk

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5=Jcbuik 4

Rypks cn Jktlociasj

• lkrcoae jaerccrmlhasjs mkhkrltk khkrmy oy

kh8yjk-jkbaltkb kiketrch trlhspcrt nrcj lhkiketrch bchcr tc lh kxtkrhli kiketrch leekptcr

km C

• lhcxae prcekss usks /C5- lhb C2

- ls tdk

kiketrch leekptcrs

=ksparltcry jktlociasj

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54Jcbuik 4

Rypks cn Jktlociasj

• lhlkrcoae prcekssks tdlt bc hct ahvcivk lh

kxtkrhli kiketrch leekptcr 

• prcekss as ikss khkrmy knnaeakht lhb as

edlrletkraskb oy icw mrcwtd rltks lhb icw ekii yakib

• nleuitltavk lhlkrcoks elh sdant nrcj nkrjkhtltavk tc

lkrcoae rksparltcry jktlociasj bkpkhbahm ch tdkloskhek cr prkskhek cn C 

krjkhtltavk jktlociasj

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51Jcbuik 4

Ucjk Echekpts cn &acicmaeliRrkltjkht

• (acicmaeli mrcwtd eurvk

• ccb7jaerccrmlhasj rltac ak +>

• axkb-naij #lttledkb& systkj lhb

suspkhbkb mrcwtd systkj

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20Jcbuik 4

&acicmaeli mrcwtd e!r'k

• lm pdlsk

• cm-mrcwtd cr kxpchkhtali pdlsk

• tltachlry pdlsk

• cm-bkltd cr khbcmkhcus pdlsk

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Jcbuik 4 2<

(acjlss mrcwtd lhb suostrltk rkjcvli eurvks

&acjlssEB 's tajk

*

"

"*

*

5

5*

2 ? <dc!rs

   E   )   B  j  m   (   *

"

5

2

*

?

0

   &   a  c

  j  l  s  s  j  m   (   *

4C)(acjlss

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2?Jcbuik 4

NJ rltac

• ccb as tdk suostrltk a.k. #K x &

• >aerccrmlhasjs a.k. #rkletcr vciujk xoacjlss eche.&

• +> as kxprksskb ls t-" 

• +> as uskb ls l prkiajahlry bksamh eratkrach

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25Jcbuik 4

Na$k+Naij Uystkjs

• lhb trkltjkht, trae!iahm lhb rctltahm

oacicmaeli naitkrs lrk prkbcjahlhtiylkrcoae oacicmaeli prcekssks

• lhb trkltjkht a.k. orclbelstahm cnskwlmk as chk cn tdk klriakst ncrjs cnwlstkwltkr trkltjkht

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22Jcbuik 4

Rrae%iahm Naitkr 

• )kvkicpjkht cn l oacnaij ch lh ahkrt surnlek

wdkrk jlerc lhb jaerccrmlhasjs orkl! bcwh

crmlhae jlttkr 

• /lturli sicumdahm  cn tdk oacnaij cwahm tc lkrcoae

mrcwtd, bkely lhb sdklr strkss lt tdk ahtkrnlek

• aitkr jkbauj vcabs prcjctk lar eareuiltach lhb

lkrcoae echbatach

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Jcbuik 4 2;

Rrae%iahm Naitkr 

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Jcbuik 4 2>

rae!iahm naitkrs lt $ktliil

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Jcbuik 4 2=

3htkrletach cn oacnaij

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24Jcbuik 4

Rrae%iahm Naitkr (echt)

• )ksamh ncr '$$

• ajpiaeaty ah echstruetach out iattik echtrci

• ;lsk cn cpkrltach out damd ahatali elpatli ecst

• (lilhek cn dybrluiae lhb crmlhae iclbahm

hkeksslry tc prkvkht eicmmahm cn vcabs

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21Jcbuik 4

Rrae%iahm Naitkr (echt)

• (C) rkjcvli knnaeakhey ; E "+D" B .22∗#$+:&A

• pkkb cn bastraoutcr as erataeli

• =keareuiltach rltac .* - 5

• %ujus siubmk prcbuetach .5 - .* m+m (C)* 

rkjcvkb

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;0Jcbuik 4

_ctltahm &acicmaeli

Echtlet ,hat•  L naxkb-naij lkrcoae prcekss ecjprasahm cn ilrmk

hujokr cn bases rctltahm dlin suojkrmkb ah l tlh!

• $lstkwltkr nicws tdrcumd tdk tlh!

• )kvkicpjkht cn oacnaij ch tdk base tdlt ahtkrlets

watd tdk wlstkwltkr 

• dk rctltahm oacicmaeli echtlet uhats lrk ecjpletwatd icw khkrmy echsujptach

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Jcbuik 4 ;<

 L rctltahm

oacicmaeliechtlet uhat

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;?Jcbuik 4

U!spkhk Mrcwtd Uystkjs

• >aerccrmlhasjs lrk dkib ah suspkhsach ls l damdechekhtrltach niceeuikht, oui!y jlttkr tdrcumd lmatltach,

starrahm

• dk jaerccrmlhasjs ahtkrlet watd ahniukht wlstkwltkr

lhb oacbkmrlbk crmlhae jlttkr ahtc 4C, %C lhb oy-prcbuets, rkiklsahm khkrmy ncr mrcwtd cn hkw ekiis

• dk leta'ltk si!mk prcekss as lh kxljpik cn lh

lkrcoae suspkhbkb mrcwtd systkj. dk lhlkrcoae

bamkstkr ncr tdk orkl! bcwh cn wlstk siubmk as lhkxljpik cn lh lhlkrcoae suspkhbkb mrcwtd systkj

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;5Jcbuik 4

#eta'ltk Ui!mk Prcekss

• 3hniukht #cr skttikb skwlmk nrcj prajlry trkltjkht&

khtkrs tdk rkletcr #lkrltcr tlh!& wdkrk echtljahlhts lrk

oacbkmrlbkb oy skiketkb jaerccrmlhasjs

• =kletach prcekssks iklb tc tdk rkbuetach cnechtljahlhts lhb aherklsk cn oacjlss #ekiis&

• 3h tdk letavltkb siubmk prcekss tdk oacjlss as cntkh

rknkrrkb ls tdk jaxkb ia1ucr vciltaik suspkhbkb sciabs

#>:&

• > as tdk jaxkb ia1ucr suspkhbkb sciabs #>: ≄ 

.< >&

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;2Jcbuik 4

#eta'ltk Ui!mk Prcekss (echt)

• dk oacjlss as skplrltkb ah l nahli skbajkhtltach tlh!

#eilranakr& ls skttikb siubmk lhb rkeareuiltkb ls rkturh

letavltkb siubmk #=L& tc tdk rkletcr 

• dk eilranakb knniukht as cntkh cn l stlhblrb tdlt jly okbasedlrmkb ahtc rkekavahm wltkrs

• dk =L aherklsks tdk >: echekhtrltach ah tdk

rkletcr 

• c jlahtlah l bksamhkb >: #lt stklby stltk& scjk

oacjlss just ok wlstkb

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Jcbuik 4 ;;

 Letavltkb siubmk prcekss watd litkrhltavk wlstahm iceltachs

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;>Jcbuik 4

Ucjk Nklt!rks cn tdk #eta'ltk Ui!mk

Prcekss

• )ksamh ncr ')$ lhb +> rltac

•ystkj as lkrcoae rk1uarks .* - jm+ )C usahmbannuskb lar, surnlek lkrltcrs, turoahks

• >aerccrmlhasjs lrk jlahiy lkrcoae G nleuitltavk

dktkrctrcpds lhb scjk lutctrcpds ncr hatranaeltach.

• >aerccrmlhasjs lrk !kpt ah suspkhsach oy jaxahm

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;=Jcbuik 4

Ucjk Nklt!rks cn tdk #eta'ltk Ui!mk

Prcekss (echt)

• iubmk rkeyeik #=L& as lh ksskhtali plrt cn tdk prcekss.

•Cwahm tc rkeyeik tdk %= as hct tdk sljk ls tdk sciabsrktkhtach tajk #=& cr siubmk lmk

• iubmk lmk as echtrciikb oy wlstahm tdk ecrrket jlss cn

siubmk blaiy

•   δ e   E  T ^ +D\w  T w   B #\ - \w & T kA

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;4Jcbuik 4

Ucjk Nklt!rks cn tdk #eta'ltk Ui!mk

Prcekss (echt)

• >axkb ia1ucr suspkhbkb sciabs #>& as l jaxturk cn

jaerccrmlhasjs lhb plrtaeuiltk jlttkr 

• > skrvks ls l 1ulhtatltavk jklsurk cn letavltkb

siubmk echekhtrltach

• ahli eilranakrs skplrltk tdk > nrcj tdk trkltkb

wlstkwltkr usahm eilss 333 lhb 3: ncr skttiahm lhb

tdae!khahm siubmk

• 4ilranakr tlh!s lrk usuliiy eareuilr " - 5 j bal. lhb

bkptd as ajpcrtlht 2 - 2.* j

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;1Jcbuik 4

Ucjk Nklt!rks cn tdk #eta'ltk Ui!mk

Prcekss (echt)

• >axahm rkmajks ah rkletcr tlh!s jly ok pium nicw cr

ecjpiktkiy jaxkb systkj

• kvkrli vlraltachs cn letavltkb siubmk prcekssks lrk

pcssaoik

• dksk rlhmk nrcj tdk echvkhtachli systkjs watd damd

+> tc kxtkhbkb lkrltach pilhts watd icw +>

• (kttkr knniukht 1uliaty nrcj letavltkb siubmk pilhts

ecjplrkb watd trae!iahm naitkrs

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>0Jcbuik 4

-yrl!iae Edlrletkrastaes cn _kletcr

Rlh%s

• ;led kikjkht dls tdk sljk rksabkhek tajk

• chm lhb hlrrcw ah bajkhsach

• /c ichmatubahli jaxahm

• (C) damdkst lt ahikt

'ium nicw systkj

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><Jcbuik 4

-yrl!iae Edlrletkrastaes cn _kletcr

Rlh%s

• )C icwkst lt ahikt

• cwkr lvkrlmk >

• dkcrktaeliiy jcrk knnaeakht tdlh ecjpiktkiy jaxkb nicws

'ium nicw systkj #echt&

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>?Jcbuik 4

-yrl!iae Edlrletkrastaes cn _kletcr

Rlh%s

• ;led kikjkht jly hct dlvk tdk sljk %=

• 4chtahucus lhb tdcrcumd jaxahm

• =ketlhmuilr tlh!s, typaeliiy ? -0 j wabtd x 5-* j bkptd

• @hancrj > lhb (C)

4cjpiktkiy-jaxkb systkj

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>5Jcbuik 4

-yrl!iae Edlrletkrastaes cn _kletcr

Rlh%s

• %amdkr >

• uostrltk echekhtrltach ah tlh! lhb knniukht lrk k1uli

• (kttkr rksastlhek tc sdce! dybrluiae lhb pciiutlht iclbs

• (kttkr rksastlhek tc tcxae iclbs

4cjpiktkiy-jaxkb systkj #echt&

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Jcbuik 4 >2

3h prletaek hch-

abkli nicw ceeurs

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Jcbuik 4 >;

 Lrkls cn sdcrt-eareuatahm lhb ahecjpiktk jaxahm

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>>Jcbuik 4

#krltach

• wc-naij tdkcry - l pdysaeli jlss trlhspcrt lercss

mls naij lhb ia1uab naij

• cr tdk trlhsnkr cn mls jcikeuiks nrcj tdk mls

pdlsk tc tdk ia1uab pdlsk, siamdtiy sciuoik mlsks

khecuhtkr tdk prajlry rksastlhek nrcj tdk ia1uab

naij

• :kry sciuoik mlsks khecuhtkr tdk prajlry

rksastlhek tc trlhsnkr nrcj tdk mlskcus naij

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Jcbuik 4 >=

Rwc+naij mls+ia.!a trlhsnkr 

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Jcbuik 4 >4

#krltachk'aeks

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>1Jcbuik 4

#krltach (echt)

•  Laj cn tdk lkrltcr - tc aherklsk C trlhsnkr nrcj

ia1uab naij tc tdk oui! ia1uab lt l rltk sunnaeakht tc

jkkt tdk C bkjlhbs cn jktlociasj

•  L jl9cr khkrmy echsujahm prcekss

• F Il as tdk cvkrlii cxymkh jlss trlhsnkr ecknnaeakht. 3t

as l nuhetach cn tdk k1uapjkht, tlh! mkcjktry lhb

wlstkwltkr edlrletkrastaes

• Cxymkh trlhsnkr rltk, C= E F Il E  ^   !m C+d

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=0Jcbuik 4

#krltach (echt)

ypaeli trlhsnkr rltk Fm C +!$.d knnaeakhey

)annuskb lar .? - ". ? - "*6

7urnlek lkrltcr .0 - ".5

?0?0

?0

?;I   .F   s

 s

 s E ^  E 

E E l   ∟  

  

     ∟ δ ο μ C=nakib  E

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Jcbuik 4 =<

)cjk bannuskr 

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=?Jcbuik 4

#krltach (echt)

• uhetach cn C ah letavltkb siubmk as l twc stlmk prcekss

•  Lkrltach prcvabks tdk )C #kiketrch leekptcr& ncr lkrcoae

jktlociasj

• )C cn .* - jm+ as hkeksslry ncr lkrcoae echbatach

•  Lkrltach just olilhek tdk cxymkh uptl!k oy tdk

jaerccrmlhasjs

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Jcbuik 4 =5

urnlek orusdks

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Jcbuik 4 =2

urnlek lkrltcrs

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Jcbuik 4 =;

icltahm surnlek lkrltcr 

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=>Jcbuik 4

Ukplrltach cn tdk trkltk wlstkwltkr

nrcj tdk scias

• Ceeurs lntkr tdk oacicmaeli cr trlhsncrjltachprcekss

•  L pdysaeli prcekss cn skttiahm mkhkrliiy ah lskplrltk tlh!

• 3h scjk prcekssks tdas rkjcvli cn sciabs elh

lisc ceeur ah tdk sljk tlh! out skplrltkb ahtajk

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==Jcbuik 4

Nahli Ukajkhtltach Rlh%

•  L pdysaeli skplrltach prcekss tc skttik tdk

sciabs #jaerccrmlhasjs, plrtaeuiltk& nrcj tdk

eilranakb knniukht

• dae!kh siubmk as rkturhkb tc tdk rkletcr tlh!

• )ksamh ncr 5 x L)$ cr '$$

• 4ilss 333 lhb 3: skttiahms bkptd as rkikvlht

• $kar cvkrnicw rltk N * j5+j.b

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Jcbuik 4 =4

ahli skbajkhtltach tlh!

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Jcbuik 4 =1

-ahkrk /chli skttiahm

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Jcbuik 4 40

ahli eilranakr 

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4<Jcbuik 4

Nahli Ukajkhtltach Rlh% (echt)

• 3hvcivks ajpcrtlht nuhetachs

• 4ilranaeltach

 M %ybrluiae iclbahm just hct kxekkb tdkskttiahm vkiceaty cn tdk sicwkst skttiahm

plrtaeik

 M v s  E \+ L  ak. 5 - 2 j5+j.b ncr letavltkb

siubmk

 M %= ≄  ".* tc d

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4?Jcbuik 4

Nahli Ukajkhtltach Rlh% (echt)

• dae!khahm elpleaty as olskb ch tdk Uciabs Niu

!dkcry 

•  L echekpt cn jlxajuj 1ulhtaty cn sciabs tdlt elh ok

dlhbikb oy l skttiahm tlh! lt l mavkh uhbkrnicw

rkjcvli rltk watdcut lnnketahm pkrncrjlhek. 3t

ahvcivks tdk sciabs iclbahm rltk

• "I  E \#" B # & T +#" L& !m+j.b

• >klsurahm tdk skttikloaiaty cn siubmk, :3

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Jcbuik 4 45

#hliysas cn scias ni!$

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42Jcbuik 4

Ui!mk "ci!jk 0hk$ (U"0)

•  L eratkrach ncr jklsurahm tdk skttikloaiaty cn siubmk

• 3t as rkiltkb tc tdk rkeyeiahm cn letavltkb siubmk

• :3 as bknahkb ls tdk skttikb vciujk cn siubmk#j+& ah 5 jahutks pkr uhat > #jm+&

• :3 cn * - " j+m ahbaeltk mccb bkhsk siubmk

• :3 O "* j+m lrk iamdt, pccriy ecjpletahm

#oui!ahm siubmk&

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4;Jcbuik 4

Nletcrs lnnketahm U"0

• kwlmk ecjpcsatach rkiltachsdap oktwkkh

8ccmickli lhb nailjkhtcus mrcwtd lrk

bkpkhbkht ch ahbustrali wlstks, elrocdybrltks

kte

• )kmrkk cn ichmatubahli jaxahm ah rkletcr tlh!

pium nicw as ikss prchk tc oui!ahm

•  Lhcxae echbatachs lhb hatranyahm systkjs rksuit ahicw :3

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4>Jcbuik 4

_kt!rh #eta'ltk Ui!mk (_#U)

• =kprkskhts tdk uhbkrnicw cn tdk nahli

eilranakr tc tdk rkletcr tlh!

•  Lh ksskhtali nklturk cn tdk letavltkb siubmk

systkj tc jlahtlah tdk bksarkb >

• =ltk cn rkturh letavltkb siubmk vlraks nrcj

tc "*6 cn L)$

=ltk cn rkturh, = E "+D"? +# T .:3& - "A

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4=Jcbuik 4

Rypks cn #eta'ltk Ui!mk Uystkjs

• Cpkrltks lt +> rltacs cn . tc .*

• )ksamh tc rkjcvk (C) lhb jly lisc hatrany

• 'ium nicw, iajatkb ichmatubahli jaxahm, sparli nicw lichm

tlh! tdrcumd bannuskrs

• =kletcr tlh!s lrk ichm, hlrrcw up tc "* j ikhmtd

$7) E "7" tc .7" ) E 5 tc * j $ E ? tc " j

• ajatkb rksastlhek tc sdce! lhb tcxae iclbs

4chvkhtachli letavltkb siubmk

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44Jcbuik 4

Rypks cn #eta'ltk Ui!mk Uystkjs

• ystkjs cpkrltk watd icw crmlhae iclbahms #+>&

damd δe lhb damd %=

• 'rcekss jahajasks siubmk dlhbiahm, echsk1ukhtiydlvk hc prajlry skbajkhtltach tlh!s

• 3herklskb khbcmkhcus rksparltach rksuits ah ikss

siubmk, out aherklsk C bkjlhb

4chtahucus kxtkhbkb lkrltach prcekss

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41Jcbuik 4

Rypks cn #eta'ltk Ui!mk Uystkjs

• ;xdaoats ecjpiktkiy jaxkb dkhek jcrk stloik tc

niuetultachs ah nicw lhb iclbahm #crmlhae& rk1uarks

ikss strahmkht rkeyeik

• ;xljpiks lrk echtahucus cxabltach batedks km.

elrcuskis

4chtahucus kxtkhbkb lkrltach prcekss #echt&

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Jcbuik 4 10

Rypks cn #eta'ltk Ui!mk Uystkjs

# a n # ta t Ui

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1<Jcbuik 4

# ecjplrasch cn #eta'ltk Ui!mk

Uystkjs

Echvkh!achli K!khbkb lkrl!ach

lrmk nicws jlii nicws

'ium nicw 4cjpiktkiy jaxkb

%= 2 M < d %= "< M 5? d

+> . M .2 +> .2 M ."*

iubmk lmk * M "* b iubmk lmk O "* b

> "* M 5 jm+ > 5 M ? jm+

(C) rkjcvkb < MI6 (C) rkjcvkb <* M I*6

= .* M .* = .0* M ".*

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Jcbuik 4 1?

4chtahucus kxtkhbkb lkrltach prcekss

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15Jcbuik 4

• (acicmaeli cxabltach lhb nahli eilranaeltach ceeur ah

tdk sljk tlh!7 nuhetachs lrk chiy skplrltkb ah tajk

• 'rajlry trkltjkht as hct hkeksslry

• rkltkb lhb eilranakb wltkr as bkelhtkb ahtkrjattkhtiy

out rlw skwlmk as nkb echtahucusiy

• iubmk as wlstkb burahm tdk lkrltach eyeik tcjlahtlah l echstlht > cn 5* - * jm+

3htkrjattkht )kelhtahm ;xtkhbkb Lkrltach #3);L&

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12Jcbuik 4

•  Lh kxljpik cn tdk ahtkrjattkht bkelhtahm kxtkhbkb

lkrltach prcekss skrvahm * tc kp

• 2 dcurs cpkrltahm eyeik ncr hcrjli cpkrltach 5pdlsks pkr eyeik echtrciikb oy lh lutcjltae tajahm

bkvaek

•  Lkrltach .* d

• kttiahm ". d

• ;nniukht bkelhtahm .* d 

'lsvkkr Cxabltach )ated

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1;Jcbuik 4

• 4dklpkr tdlh echtahucus letavltkb siubmk

systkjs

• ;lsaiy jcbanakb tc rkjcvk hutrakhts

• ;lsy cpkrltach lhb jahajuj lttkhblhek

>l9cr lbvlhtlmks cn tdk 3);L prcekss

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1>Jcbuik 4

• %amd cpkrltahm khkrmy rk1uarkjkhts

• iubmks lrk cntkh bannaeuit tc skttik

• /ct suatloik ncr ilrmk nicws

)aslbvlhtlmks cn tdk 3);L prcekss

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1=Jcbuik 4

Basahnketach

• 4dicrahk rkjlahs tdk ecjjch basahnketach lmkht

• L echtlet tajk cn - 5 jahutks as rk1uarkb

• >ued bkoltk echtahuks ch tdk usk cn edicrahk

• Ctdkr khvarchjkhtliiy nrakhbiy jktdcbs lrk

prknkrrkb sued ls7

• @:, c8chk, jkjorlhk naitrltach, lrtanaeali wktilhbs

kechblry trkltjkht waii rkjcvk up tc I<6 cn

jaerccrmlhasjs lhb "* - "0+" j cn eciancrj rkjlahs

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Jcbuik 4 14

/lhc-jkjorlhk naitrltach

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11Jcbuik 4

<!trakht _kjc'li

• ctli hatrcmkh jly ok locut 5* jm+ lhb tctli

pdcspdcrus < jm+ lntkr skechblry trkltjkht

• =lw skwlmk ecjpcsatach cn 47/7' ≄  "7*7?

• /crjli pilht mrcwtd chiy hkkb 47/7' cn

"7"*7"

dk jl9cr ecjpchkhts cn hutrakhts ah wlstkwltkr

lrk hatrltks lhb pdcspdltks. dky echtraoutk tc tdk

kutrcpdaeltach cn rkekavahm wltkr 

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<00Jcbuik 4

<atranaeltach

3h tdk hatrcmkh eyeik, crmlhae lhb ljjchaujhatrcmkh lrk echvkrtkb narst tc hatratk lhb tdkh tc

hatrltk

cureks7

Crmlhae hatrcmkh #26&

 Ljjchauj-hatrcmkh #/%2B M/ ?6&

/atratk-hatrcmkh #/C

J

/&

/atrltk-hatrcmkh #/C5--/&

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<0<Jcbuik 4

<atranaeltach (echt)

•  Ljjchal ah wlstkwltkr as tcxae tc nasd at dls l damd

C bkjlhb at aherklsks 4i bkjlhb burahm

basahnketach

• 'rajlry trkltjkht rkjcvks N 6 ahniukht hatrcmkh

• kechblry trkltjkht rkjcvks locut 56 eujuiltavk

• ajat ncr ljjchauj-/ ah trkltkb knniukht N jm+

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<0?Jcbuik 4

<atranaeltach (echt)

• /atranaeltach as l -stlmk prcekss oy bannkrkht typks cn

lkrcoae lutctrcpdae oletkral

•/%2

B

 B #5+&C  E /C-

  B %B

  B %C

• /C-  B #"+&C  E /C5

-

• /atranyahm oletkral lrk skhsatavk tc tcxae suostlheks

mrcw jcrk sicwiy #damd δe& cptajuj tkjp <-5Ic4

lhb bkerklsks watd icw tkjp

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<05Jcbuik 4

<atranaeltach (echt)

• Cpkrltahm p% ?.* M <

• /atranaeltach rkbueks li!liahaty #0." m cn li!liahaty ls

4l4C5 as kxdlustkb oy " m /%2B

-/& hatranakb&

• /atranaeltach as lbvkrskiy lnnketkb oy +> O .2 M .?

• >ahajuj )C ".* jm+ as rk1uarkb

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Jcbuik 4 <02

Bkhatranaeltach

• )khatranaeltach as l typk cn rksparltach elrrakb cut oy

nleuitltavk dktkrctrcpds l prcekss !hcwh ls lhcxae ls/C5- as tdk tkrjahli kiketrch leekptcr 

• Crmlhae-4 B /C5-  E 4C  B %C B C%-  B / B khkrmy

•  Li!liahaty as aherklsk out oy locut dlin tdk ljcuht rkjcvkboy hatranaeltach

4chvkrsach cn hatrltks #bkravkb nrcj hatranaeltach& tchatrcmkh mls

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Jcbuik 4 <0;

Bkhatranaeltach (echt)

• )C ahdaoats bkhatranaeltach

•  L elroch scurek just ok lvlailoik #kxtkrhli cr rkeyeikb

khbcmkhcus elroch&

• cjk (C) as rkjcvkb out jcrk sicwiy tdlh lkrcoae

rksparltach

• )khatranaeltach elh ok ahbuekb ah tdk lhcxae plrt cn naxkb

mrcwtd systkjs oy jl!ahm tdk naitkr okb bkkpkr #.* M 5 j&out usk cn letavltkb siubmk as tdk hcrjli prcekss

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Jcbuik 4 <0>

Bkhatranaeltach (echt)

• 3h echvkhtachli letavltkb siubmk, tdk lhcxae 8chk watdah

tdk rkletcr tlh! jly ok 5 M 26 cn vciujk lhb prkekbks

tdk lkrcoae 8chk

• 3h elrcuski systkjs, tdk kstloiasdjkht cn sk1ukhtalilkrcoae 8chks ecupikb watd ichm %= lhb damd δe prcjctk

khbcmkhcus bkhatranaeltach

• )khatranaeltach elh ok ledakvkb ah skplrltk rkletcrs usahm

suatloik crmlhae scurek

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Jcbuik 4 <0=

Pdcspdcr!s _kjc'li

• Crtdcpdcspdltk #rkjcvkb oy edkjaeli+cr oacicmaeli prcekssks&

• 'ciypdcspdltk

• Crmlhae pdcspdcrus

• 'ciypdcspdltk lhb crmlhae pdcspdcrus lrk ikss klsaiyrkjcvkb uhtai trlhsncrjkb tc crtdcpdcspdltk lntkr

skechblry trkltjkht

cureks lrk nrcj bcjkstae wlstkwltkr, trlbk lhblmraeuiturli wlstks usuliiy prkskht ah 5 ncrjs

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Jcbuik 4 <04

Pdcspdcr!s _kjc'li (echt)

•  Locut "6 cn ahsciuoik pdcspdcrus elh ok rkjcvkb oy

prajlry skttiahm

• 4chvkhtachli oacicmaeli trkltjkht rkjcvks l nurtdkr "* -

5*6 oy lssajailtach burahm oacjlss mrcwtd, out l wkiibksamhkb (/= #oacicmaeli hutrakht rkjcvli& pilht elh

rkjcvk up tc I*6 cn '

•  Lijcst lii sciuoik pdcspdcrus elh ok rkjcvkb oy edkjaeli

prkeapatltach

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Jcbuik 4 <01

Pdcspdcr!s _kjc'li (echt)

• ajk, 4lB

•  Liujahauj suinltk, Li5B

• krrcus suinltk #pae!ik ia1ucr&, kB 

• krrae edicrabk + nkrrae suinltk, k5B

• =kiltavk ecst cn eclmuilhts, Li5B  O k5B  O kB O 4lB

• p% rlhmk ncr liujahauj lhb arch slits *.* tc 0

@sahm edkjaeli prkeapatltach

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Jcbuik 4 <<0

Pdcspdcr!s _kjc'li (echt)

• Chk kxljpik as tdk jcbanakb @havkrsaty cn 4lpk cwh

jcbki #@4& ncr oacicmaeli hutrakht rkjcvli

• )khatranyahm pilhts elh ok jcbanakb oy l nkrjkhtltach8chk lt tdk dklb cn tdk lkrltach tlh!

• kiketavk mrcwtd cn oletkral #leahktcoletkr& loscros

tdk pdcspdcrus

• )laiy wlstahm cn letavltkb siubmk rkjcvks tdk stcrkb

pdcspdcrus

 L jcrk knnaeakht prcekss as oacicmaeli pdcspdcrus rkjcvli

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Jcbuik 4 <<<

(acicmaeli pdcspdcrus rkjcvli

>cbanakb (lrbkhpdc prcekss

(a i a i d d i

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Jcbuik 4 <<?

(acicmaeli pdcspdcrus rkjcvli

'dcspdltk trlhspcrt ah lhb cut cn oletkral

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?h cn Jc!ik 5