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8/12/2019 TEK Knjiga
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Sadraj+')*,-. / ' 01 +2-*3 .4.%)&'5,28 %24* ' 3&.9.1 ;2+')*,-. ?1 "4.3.,)' .4.%)&'5,'@ %24*1 +2+')*,-. A1 B4*:,* $,*8* .4.3.,)*1 C(D)' E$42= (*$'=,2$)'1 1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111 F+')*,-. >1 G.:'$)'=,' .4.3.,)' $* -.0
R)&E-,' 8.,.&*)2& %2,)&24'$*, $)&E-23 U$)&E-,' (2-*5*=*5V 1111111111111111111111111111111111111111111111111111111111111111111111111111111111111 >?
Q*(2,$%' 8.,.&*)2& %2,)&24'$*, ,*(2,23U,*(2,$%' (2-*5*=*5V 111111111111111111111111111111111111111111111111111111111111111111111111111 >A
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G.*4,' 2(.&*6'2,' (2-*5*=*5 11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111 >>
#24* $* '3%081'D 2(.&*6'2,'3 (2-*5*=*5'3* 1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111 >I
+')*,-. ?01 M
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+&2$)2(.&'2
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8/12/2019 TEK Knjiga
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&'()*+, - ' .
&/+)0 ,1,2(3'4*/7 2/1) ' 03,8,. :/;,1/
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Q*(2, ':3.ZE %&*-.=* .4.3.,)* U(2).,6'-*4,* &*:4'%* %&*-.=*V -.$). ,*(2, .4.3.,)*e
645 , 849 85,:;:<
R)&E-* .4.3.,)* (&.:<
B$*84*D.,' $3.&2='e $3.& $)&E-. -. 2< )*5%. ='D.8 (2).,6'-*4* %* )*5%' ,'9.8 (2).,6'-*4*1
#4*$'P'%*6'-* $. 329. =&D')' ,* &*:,. ,*5',.1 Q* 2$,2=E O&2-* (&'%4-E5*%*\ 2
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#@ F)G)5'('F1 f* .4.3.,) $*-.
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8/166
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B4*:,* $,*8* .4.3.,)* $.
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L " ! " # $ % & ' ( ) *
&'()*+, %.A,9'B('
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Dinamika otpornost $.
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&'()*+, ?.&)B'
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D)2 (&*%)'5,2 :,*5' A6+O#*(*6')'=,2$) (425*$)28 %2,
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-# " ! " # $ % & ' ( ) *
#*(*6')'=,' .4.3.,)' $Ee
/V Bilateralni*%2 -. %*&*%).&'$)'%* %2,
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-$ " ! " # $ % & ' ( ) *
Struja8'1%041-6%2,
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-% " ! " # $ % & ' ( ) *
K%2 -. %*&*%).&'$)'%* %2,+ 9-1$4-8'F010\ )*&Z+A &_+ , B1a*%4.\ *%E3E4'&*,* .,.&8'-* %2,T%2,)&24'$*,*1 !*
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R*32 :* 4',.*&*, %2,
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f* =&.3.,$%' (&23.,4-'=. %2,
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f* 8'1%041%%2,
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&'()*+, --.C*;D2('
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M " ! " # $ % & ' ( ) *
M,
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8/12/2019 TEK Knjiga
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" ! " # $ % & ' ( ) *
C)(2&,'% -. (2 (&.)(2$)*=6' (*$'=*,\ D)2 :,*5'
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# " ! " # $ % & ' ( ) *
&'()*+, -#.H1/8,*) ,*,37'+) D 2)1,0.G*< %2-' $. E4*9. E %*4.3 2< )&.,E)%*
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8/12/2019 TEK Knjiga
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% " ! " # $ % & ' ( ) *
Dokaz: M:=2< $,*8. %2-* $. E4*9. E %*4.3 (2 =&.3.,E -.
:;:
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&'()*+, -%.PDQ'5' 2)1,0) ' R)2(/3 ;/Q3/(,.+2< (2-323 8EO')*% (2
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E " ! " # $ % & ' ( ) *
Rad %2-' $. :* =&.3. fE4*9. E ,.(2=&*),. (&26.$. -.;&&
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8/12/2019 TEK Knjiga
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>&< U M&
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&'()*+, -E.:,0/3'B)*+, *)G/*) 2/*;,*9)(/3)
;.32&'$*,-. ,*(2,* %2,
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8/12/2019 TEK Knjiga
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# " ! " # $ % & ' ( ) *
8/12/2019 TEK Knjiga
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&'()*+, M.=1,0,*(' B) -':242=*,'@ (&'$)E(*1b*9'e
=4, = 5=X, =Z[ K%2 $. (2$3*)&* '
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B4*:,* $,*8* .4.3.,)* $* >(&'$)E(* -.
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8/12/2019 TEK Knjiga
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b*9'e
{6|,{d| ; {=|A8
8/12/2019 TEK Knjiga
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K%2 (2$)2-. {d|' {h|=*9'W. {h|, {d|`4, 4Gm}{n| o:o{d|\
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i55,65=5 hPjN X, jPQ5hPjN X, ehd55td55b*9'e
6 =4657,6i44 i45i54 i557 ; k64=5 lOK%2 (2$)2-. {e|' {i|=*9'W. {i|, {e|`4, 4Gm}{p| o:o{e|Prvo prenosno predstavljanje:
64, ;44=4U ;45&T=5+
65, ; 54=4U ;55&T=5+
#2.P'6'-.,). 2
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b*9'e
k65T=5l,6g44 g45g54 g557 ; k64=4 lOK%2 (2$)2-. {;|' {g| =*9'W. {g|, {;|`4 , 4Gm}{A| o:o{;|1
&'()*+, #.
A,5'G3/4*/B( 3,9'B('
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6r5, i6r4C
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8/12/2019 TEK Knjiga
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R4. ,1,0,*)() B) ;
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43/166
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Dokaz:U:* (&=' $4E5*-V
B %24E ,.3* *%E3E4'&*,. .,.&8'-. ' ,'-.
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&'()*+, %.A,5'G3/4*/B( 3,9'B('
8/12/2019 TEK Knjiga
45/166
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@0 9-8- F0 F8'9% SR
64f ,e44=4fU e4565f A 64f , B e44=4f , Te4565f &y+=5f ,e54=4fU e5565f
B=&D)*=*,-.3 &u+' &t+E &y+ ,1,0,*)() B) ;
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DokazRU:* (&=' $4E5*-V
B %24E ,.3* *%E3E4'$*,. .,.&8'-. ' ,'-.
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&'()*+, E.A,5'G3/4*/B( 3,9'B('
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8/12/2019 TEK Knjiga
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f* $'3.)&'5*, .4.3.,) O'W. '$(E,-.,2e65f , 6464f , 65=4f , =5
HB1/< B'0,(3'4*/B(' 9) 1'*,)3*, 3,9'B('
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J&
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X) DB1/< G)B'
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S)G/*B2' 7,*,3)(/3 2/*(3/1'B)* B(3D+/0 Y(3)*B3,9'B()*B*' G/+)4)
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#*&*%).&'$)'%. 329.32 (&.
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S)G/*B2' 7,*,3)(/3 2/*(3/1'B)* *)G/*/0Y*)G/*B2' G/+)4)
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8/12/2019 TEK Knjiga
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F/1) B) idealnim/G,3)5'/*'0 G/+)4)
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Linearni sabira
#242 &.D*=*32 $E(.&(2:'6'-231
8E, B64, 8ET 8`, B +* $4.
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Integrator
=`, =E, B=5, =464, B8>, B6r, j4=4=4,6rj4=4, = 5,!5*e6(6', e!5 Y =4&Z+:ZI`a
6?SQ, T6', Te!5 Y =4&Z+:ZI
`a
E=&D)*=*,-.3 =4E (&.)@2
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&'()*+, #.C;,)1*' (3)*BR/30)(/3. T
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B$42= $'3.)&'5,2$)' ':&*9., ;T(*&*3.)&'3* 84*$'e;44, ;55
* E 2=23 $4E5*-E $. 2, $=2
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#F@ , s5#F\ D)2 :,*5'
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+2D)2 -. J&
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&'()*+, #$.S,7)('i
{;|,6i BB Te>i7Tip II
6e , Ti65=e , T=5>iO{;|,6Ti BB e>i7
+2&.< ;T(*&*3.)*&*\ ,.8*)'=,' '3(.
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&5 $(2-.,* :* (&'$)E( 0 (&.$4'%*=* $. E 3&.:E &5@ '$). )2(2428'-.\ *4' $* .4.3.,)'3* ,*=.
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"4.3.,) $. (2,*D* $4'5,2 9'&*)2&E T =&D' ',=.&)2=*,-. '3(. ,1,0,*)() B) ;
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Element opisan "-parametrima
64,e44=4U e4565=5,e54=4U e5565
329. $. &.*4':2=*)' (232WE
8/12/2019 TEK Knjiga
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&'()*+, #?.A,)1'9)5'+, ';,)1*/7 (3)*BR/30)(/3) G/0/ZD 2/*(3/1'B)*'> 7,*,3)(/3)
d.
8/12/2019 TEK Knjiga
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d.
8/12/2019 TEK Knjiga
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&'()*+, #K.C*;D2('
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D44&4+,
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&'()*+, #L.U'*,)3)* (3)*BR/30)(/3S',.*&*, )&*,$P2&3*)2& -. .4.3.,) %2-' '3* $*32 ',
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Q*(2, ,* %&*-.='3* )&*,$P2&3*)2&*e
64,:D4:< ,84 :=4:
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* :* &.6'(&25,. .4.3.,). =*9' '
)-1
f* g ,.3* $(&.8.\ %*4.32=' $E E
f* g ,.3* 8EO')*%*\ %*4.32=' $E
&'()*+, $M.
=*,37'+) ' G)B'
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Q*(2, ,* %&*-.='3* )&*,$P2&3*)2&*e
64,:D4:< ,84 :=4:
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Sluaj 1.
84b B'g&\+b B g&\+b B *1B a8455845 T a85841B
f*%4-E5E-.32
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64,84 +*=4Ues*=5,65,84s+es*=5U*=4, Z 64,Us65
R*=&D.,' )&*,$P2&3*)2& -. ',
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C
8/12/2019 TEK Knjiga
78/166
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f,*% _p` 2
8/12/2019 TEK Knjiga
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&'()*+, $$.=2
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O&2- , 329. O')' (&2':=24-*,\ 3*
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81/166
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&'()*+, $%.W3)*BR/30)(/3 B)
8/12/2019 TEK Knjiga
82/166
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&'()*+, $?.\/30'3)*+, /B*/ ,1,2(3'4*'> 2/1).K,*4':* .4.%)&'5,'@ %24* (2
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&'()*+, $E.T
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&'()*+, $L.F)2/ B, /;3,]D+, 3,; B'B(,0) +,;*)4'*) 2/1). G.< $'$).3* 4',.*&,'@
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&'()*+, %-.IB*/
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S*%2 $.
8/12/2019 TEK Knjiga
87/166
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!*%2Z.\ :*%4-E5E-.32
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88/166
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Q* 2$,2=E $=.8* 2 P2&3'
8/12/2019 TEK Knjiga
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&'()*+, %.I;3,]'
8/12/2019 TEK Knjiga
90/166
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&'()*+, %#.T/GB(
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f*3.,23 &v+' &w+E &t+
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92/166
L " ! " # $ % & ' ( ) *
VTUCFNV
+2$4. )&' =&.3.,$%. %2,$)*,).\ E*2$)*4' ,*(2, %2,
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8/12/2019 TEK Knjiga
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NG,3'/;'4*' 3,8'0 &' ( )*+B 2=23 $4E5*-E %2&.,' $E &.*4,' ' &*:4'5')'
#4A5, Tq U v ,X4A5v ,tq5T IX5- q
(&' 5.3E -.IX,Y;X, 4K:' A q , ;4>-, j>-81G.D.,-.
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a'-*8&*3' 6'&
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d.
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F3'('4)* 3,8'0 &' , )*+#2&.,' %*&*%).&'$)'5,. -.
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98/166
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a'-*8&*3' 6'&
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+2$3*)&*-32 %242 $* $4'%.
VTUCF=V
d.K8! $. ,*:'=* E5.$)*,2$) ,.(&'8ED.,'@2$6'4*6'-*\ -.& E %24E O.: 8EO')*%* (2$)2-' (&2$)2(.&'282:,*5'W.32 $* -s\ * q , ;4>-, j>-8,*:'=* $. E5.$)*,2$) (&'8ED.,-*1 #2&., %*&*%).&'$)'5,.-.
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?V q -IX\ %2&.,' 5',. %2,-E82=*,2T%23(4.%$,' (*&e z4A5,X4U^I4, TqU^YIX5T q5C
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#2,*5,2\
6'&
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102/166
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a'-*8&*3' 6'&
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103/166
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G*:4'%2=*W.32 $4E5*-.=.e
- #2&.,' %*&*%).&'$)'5,. -.
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&'()*+, %K.IB*/
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105/166
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B 8&*,'5,23 (&26.$E %*
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HBG/*B2) RD*25'+)
B$(2,$%* PE,%6'-*
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&3/B(/G,3'/;'4*) RD*25'+)
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T1/8,*/G,3'/;'4*) RD*25'+)
YE,%6'-* %2-* $. (.&'2
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&'()*+, %L.T
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T
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+*&)'%E4*&,2 &.D.,-. -.
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g&
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--% " ! " # $ % & ' ( ) *
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@ D, F D, ,ud.
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b&D'32 O*4*,$'&*,-. (&.)@2
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8/12/2019 TEK Knjiga
121/166
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]&
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162/166
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163/166
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164/166
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165/166
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166/166
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