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VABO PBW@K@ :0.:4.6:26
[BLBVPB OQNV[XN[
NCNLXVL - NCNLXVIOL EMNOH[C
NNE ;:> - BVNXCNV vn [[XNECNV
QWN [@OBQ@
[IV^CBV
2 - )epucs knvbf m\oU 5 u\o-2U- u\o->U- u\o-;U- u\o-4U icbrbl
vnr`cno s`stne`o x\oU 5 u\oU- u\o-8U `brnt`onlbrcl dncno knvbf y\oU
mnsbpcbyp `z`o`z.
6 - )y\oU+6y\o-2U 5 x\oU abrl hnolcne` `cn tboecboboou\-oU
k)m(t) 5 n-6\tU
f)>ou\;-oU h)m(t) 5 n-;tu\;-tU
8 - )
b)x\oU 5 2+kis(
) `brnt`o`o Aiur`nr snr` lbtsbycbro mnsbpcbyoz.
f)Xnenc pnr`yihu X56 icbrbl vnr`cno x(t) `brnt`, :
( )6 , 2 6
t tx t
t t
nlc`ohn tboecboetr.
Fuob drn
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Prh.Hi.Hr D. NXONC 66.22.6:26
Prh.Hi.Hr. .PBW@K@
[BLBVPB OQNV[XN[
NCNLXVL - NCNLXVIOL EMNOH[C
BVNXCNV vn [[XNECNVQWN [@OBQ@
[IV^ 2 (2>Z) 7Bbhb vnr`cno s`stnecnr` onhnosncc`l, hirusbccl,
zbebocb hn``e vn
lbrbrccl yocnr`ohno `okncny`o`z.
b)6
I Iy( t ) t x( t t ) , t :
f) y( t )
2: , x( t ) >
6x( t ) , | x( t )| >
2: , x( t ) >
k) y\ o U ox \ o 2U 6
WE 2 7
b f k
ONHNO[NCCL + + +
LBVBVC@C@L - + -
HIV^[BCC@L + - -WBEBOCB HNEN - + -
[IV^ 6 (2>Z) 7
o2 6 ;
2m \ o U u \ o 6 U m \ o U \ o 6 U m \ o U ( ) u \ o U
6 icebl znrn sttn vnr`cno HWH
s`stne ``o,
b)m\oU 5 9 f)[`stne lbrbrc ehr9
WE 6 7b) 2 6 ;m\ o U ( m \ o U * m \ o U ) m \ o U
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m\ o U ( u \ o 6 U * \ o 6 U) (u \ o 6 U * \ o 6 U 5 u\oU)
o o2 2( ) u \ o U ( 2 ( ) )u \ o U 6 6
f)Lbrbrccl ``o
o
m \ o U
icebchr
oc `e m \ o U 2
hicbysycbo :
m \ o U
ichuuohbo s`stne lbrbrszhr.
[IV^ ; (6:Z) 7x\oU `brnt` ``o A[ lbtsbycbr bbhb vnr`ch``on drn
x\oU 5 9
WE ; 7[notnz hnolcne` igl w oll O
x \ o U b n
Drba`ltno O54 vn wi 5 6/4
6 6 6 6 ; gl o g ( 6 ) o g ( 2 ) o g ( 6 ) og g g4 4 4 4 6 6
6
lo ;
x \ o U b n : 2.n .n 2.n .n n .n :
6 6 8 8 g ( o ) g ( o ) g ( o ) g ( o )
4 6 4 6 4 6 4 6 x \ o U n n n n 6
6 8x \ o U 6 6 kis( o ) 6 kis( o )
4 6 4 6
[IV^ 8 7
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(Dnoc `l 72 Znr` yit 7 8) (Dnoc` l 7 :.> Znr` yit 7 8 )
b)](t) `brnt`o`o A[ lbtsbycbro fucuouz. \2>ZU
f)(b) llohb nchn nh`cno lbtsbycbrhbo vn A[ zncc`lcnr`ohno
abyhbcbobrbl W(t) `brnt`o`o
lbtsbycbro fucuouz. \2:ZU
WE 8 7
](t) `brnt`o`o A[ lbtsbycbr
X 6 8
IX : : 6
2 2 2 t t b x( t )ht x( t )ht ht ( 6 )ht
X 8 8 6 6
6 6
I
862 t t 2 2 b ( 6t ) 2 8 = 2 8
8 8 8 8 6 6:
i i
6 8gl w t gl w t
lX : 6
2 2 t t b x( t )n ht n ht ( 6 )ht
X 8 6 6
i i i
6 8 8gl w t gl w t gl w t
l: 6 6
2 2 2b t .n ht t .n ht 6 n ht
8 6 6
i
i
gl w t
gl w t
i
t u hv n ht
lse` notndrbsyio 2ht hu v n glw
lg
6l 6
l6 s o( )
6b n , l : fucuour .g ( l )
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W(t) `brnt`, ](t) `brnt`o`o trnv`o`o 2 f`r`e sicb lbyhrcebs `cn
nchn nh`c`r.W(t)`brnt`o`o lbtsbycbro `l` fbsbebltb nchn nhnf`c`r`z.
(t), ](t) o`o trnv` icsuo. y(t) o`o A[
lbtsbycbr fl,
il l l
6f glw b gl b icur .
8
brnt 2 f`r`e sicb lbyhrcrsb W(t) nchn nh`c`r vn W(t) o`o A[
lbtsbycbr kl,
i
lggl w ( 2 ) 6
l l l
6k f n gl b n
8
l lg g
6 6l 6
l l6 s o( ) s o( )
6 6k gl n . n 6 lg ( 8 )
2 ;
i2 2
2 ;2 2 2 2 t t 2 k ht ht ( 2 2 ) : 8 6 6 8 6 6 8 2 2
[IV^ > 7 HWH f`r s`stne`o d`r`` x\oU5u\o-8U, `epucs knvbf
m\oU5u\oU-u\o-8U nlc`ohn
vnr`c`yir.Fuob drn :o> brbc ``o ZU
f)[`stne`o lo `z`o`z. \2:ZU
WE > 7
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l
y\ o U x \ l U m\ o l U
l
y\ o U u \ l 8 U u \ o l U.;u \ 8 o l U l 8 `o y\ o U : icur
l
l 8 o y\ o U u \ l 8 U u \ o l U ;u \ 8 o l U brbc lcbrb fconrnl
fuc uo ur .
>
8
y\ o U u \ l 8 U u \ o l U ;u \ 8 o l U .... u \ o l U ;u \ 8 o
l U : ic ebs ``o
o l vnyb o l 8 ic ebc hr.
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