OpenheimManual10

Page 1

$

! "#

=

  ∑   =−   ∞

+

  ∑  = 

 + (−

   π     

∑ =

   

∑   ∞

= −∞

% &'

− +

)

%( −

%) % $*+

(

∑ ∞

=−

7 89

)

$0! 1

6

-"

. !.

/ &' ,

− ω

/ *: ; < /

2

!

>

<

6

>

4 2 > !

ω

4 5

1

3

/ ?@ A

> ! 2 < =2 1 >

$0/ ?B! 1 * C

( )

∑ ∞

=

7 89 2

-" . !.

:

/ (,

ω

/ *: ; < / !

<

:

>

4 2 >0E@1

6

>

! / 5?@ A

>

D 2 7 89 0 1 >

$0! 1

2

*F! "

/ ),

4


∑ ∞

+ (−

)−

− ω

=

7 89

/ *: ; <

2

<

/ !

>

:

6

4 2 >0E@1

>

!

/ 5?@ A

>

D 2 7 89 0 1 >

∑ ∞

+ (−

)−

$0! 1

2

*F! "

4

/ ),

− ω

=

7 89 0 1 >

 ∑ =  ∞

?

7 89 :

  

5 <

/ *: ;

<

G 9 H I2 !

 π     K<

 + ∑  = −∞ 

− ω

:

4 5

4 2 >0E@1

  

 π    

ω

< D

/ ?@ A

$0! 1

>

/<. >

>

6

2

>09

-"

:

/ ,

− ω

J<

/>

< <

ω

< D /< ;

*- +

>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>

[ ] = 

  [ −   > @ QRS2 T

>

@

M1

J @/

L

] "@+ 1 < 5 @ @

J @/ ?

*

OPO , "' 2

. NB/ $*+

$

O, "' 2

. NB/


  = −∞  

( )=

[

∑  

+∞

=∑ ∞ =

 =    =  

( ) −

∞  ∑  =    −

]

( )

>

>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>

[ ] = (− ) [ ] + [− " ( ) "@+ 1 5

@ U 9

] Z ! "#

Y@=-

X<

O

VWBR2

X

> ! <

-

<

$*+

[− ( )=

− → ]←

$" \@

S1 \@1

±

2 B+ " [ O, "' 2

@4 .

<∝

$\ <T 2 0/ +

+

− +

− −

<

> @

1

2

< R

]2

> !

=

BE ?

>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>

[

  ] =    

π     

@ ≤

>

M1

J @/

^


()

> @ ?@@

( )=

( )

= −∞

( )∑ ( ) = ( )∑ ( ) =( ) =

 π     π

= −∞

=

− π

+

ZC $*+

( ) ∑( )

+

( )

− π

= −∞

+

− π

"@+ 1 <

=

+

− π

> 1 . ! ;C <

=

π

( ) − π

<

π

π

<

T

=

ZC

>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> ;C <

N-

<

B2

N-

. !.

*

`

_

> @ ?@@

 −   −     −   −  −   − − − − − −

T0

( (

  − 

)( )(

  

(− )

− −

  + 

&' ,

) )   

(, ), $*+

$0! 1

( )=

(

)(

− −

)

2

-"

M1

2 *

&' ,

@


.

1 " ) R2

"W

2∞b

> !

> !

( )= ( ( "W

# N- <

− − " 2

( )?

( ) #> ( ) 50/

#" 2 N-

20 1

)( )(

− −

()

$0/

) )

>

BS@

-

N- < < =2

#>

E 1

= <

10 1

−    −  +   BS@ " 2 L -"

N- L < < =2 "=N-

   2

()

- " M1

N-

=

( ) >0/

N- `

( )?

( )" EF

(,

0/ Y < - < ) R2

N- <

-"

" 2 ,

( )?

2 *

10 1

2

#>

#" 2 N-

* C

>

( )=

"W

"=N-

N- c@ $0! 1

( ) 5a 6RS2

N- 5

=

. !.

*

< =2 ),

( ) 50/ QRS2 ( ) 0/ ) R2 N- <

N-

=

>

>

0 1

>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>

( ) \@1

2> @ U 9

()

4 *

3e

[]

a ]WZ2 ' @/

d

[]

T>

< =2

X

' @/ &' ,

f !

e# 0/

' @/ (,

f !

B/ 0/

' @/ ),

1

2

f !

f ! "9

ZC

=

<

' @/ , $*+


"=N- * 5 a 6RS2 >0E@1

5 < =2 " 2 5J @/ 6B2 < =2 " 2

" \@1

J @/

2

L 7R

< =2 "=N-

O 0@- : ZC c@ 5?

>0E@1 M1 > !

+< .

J @/ ?

*2 !

5 !

Y@=-

5

B/ 0/ J @/ `

2 3h ;

?@ 2

i B2 ? " \@1

2

- " J @/

L 7R ^ 0@- :

> !

2

2 ? "WgE2 ?

ZC J @/ " 0/ . ! .

=

5 @:

# 5 @: (, " I1T

>

>

?@ A 0/ >0/

> !

+< .

*2 !

50/

> !

+< .

*2 ! <

3h ;

"=N-

>0/ "9

?@ 2

Z J @/ " I1T

"]W+ *2 ! " \@

jY@=- ,

2&

< J @/ " \ @ "I@B1 \@1

` a 6RS2 2

L 7R d 0@- :

>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>

( )=

  + 

[ ]J

>0/

@/ *

X

k

  + 

+

   $*+

>\ <T 0/

=

"@+ 1 ( RB1

= $\@ ( RB1

. !.

*

NWBR2

' @/ \@1

$

X *

2 ZC

=

= + 1

\@1

2 5 ZC ? *=2 l /

<

<

,

<

<

,

>

,


" \@1

=

2>

[ ] = 

   

()

ZC T

4 *

[]

' @/

m

[]

[ ] = 

  [ ]   < 50/ B/ 0/ 50/

>"9

" 0/

[ ]"

e# 0/

< 0/ 3e

a ]WZ2

@ ?@@ >0E@1 3e

a ]WZ2 $*+

[ ]←→ ( ) $\

     

6

[ ]←→ ( )

      "%I@B1

J<

4

[ ]←→ ( ) %

25

" I1T

%+ < . % *2 %! >0/

( ) <5

! 2 +< .

*2 !

> !

2

H !" .

) :&

"]W+

?

>0E@1 M1

ZC

=

"=N> ! "9

< J @/ `

[ ]"

" ? <

Ζ [ ]←→

( )=

( − )( + −

" 09 4

2 ? " 0/ QRS2 50E@1 2

L 7R

E " VE

@ @ −

"

I1T

d 0@- : . NB/

[

*

nFX

>

8

\@1

"

)

;

>

$*+


$\

( )=

[ ]=

+

[ ]+

+

o8

E " VE

9*

nFX ?B9 4

>

$\

(− ) [ ]

"

>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>

( )=

$0/ + +

[ ]J

@/ *

X

− −

[ ] < 5 [ ] 5 [ ]

%]2

[− ] < 5 [− ] 5 [ ]

%1

%/ "% VE <

>

"@+ 1 U 9

&' , > @ @

%]2 1

/ " VE <

<

"@+ 1 U 9

(, > @ @ $*+

. NB/

1

/ VE

<T 0/

' B2

@E]

\@1

2

>

# &' , >\@ $\


 + ℑ−  + 

+ ℑ−

ℑ− +

  + 

ℑ− +

$" \@

2.

/

<T 0/

 ℑ− +  

ℑ−

ℑ− +

ℑ−

[ ] =

[ ]=

>\@ . NB/

1

ℑ + −

O, "' 2

*

[ ]= − ' B2

@E]

( ) "E

&

\@1

25

<

]2

# (,

+

− −

S2

− ℑ+

ℑ +

+

− − ℑ− ℑ− $"

[ ] =

! 2 "M+ 2

[− ] = −

O, "' 2

[− ] =

*

( ) "E

&

]2

>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>

( )=

    

− −

    

> @ @

;

*

nFX

>

$*+


> %! "B%!

< =2   −   − 

[

"2

BE J @/ " \@1

     = ∑=      

"=N- * *2 ! $\

#

< =2

/J 2 9

$\

  ] =    

2 >0/

O, "' 2

*

&

"E ]2

≤ ≤

>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> %

%@ ?@%@

N- pZC $

1 2 S1

"

9* 34q

.

1

/

@

?B9 4 M1

5 34?@ h ' @/ a

( )=

*

]

>

+

( )=

+

` &' ,

+

( )=

L

>

+

> −

(, ), $*+

$0/ . ! .

S1

L *F!

*

"/

pZC % N- . +


× ×

$ ! "B! 1

( )= ω

-" 1

9*

.

%]2

2

50/

% "% 0/ Y < >0/ . ! .

` 81 ω "F@2

^ 7R

$ T 2 0/ ( )( ω ) =

(

-" "

)

)

S1 q *F!

2 >0/ `#

>0/ 3 1 @2 a

(

1 " \@1

&' ,

=

`% 81 ω , ω `%# "%' 2 0/ r

2"

9*

] .

"

q "' 2 0/ r

( )? ω

1 " \@1

N-

> ! 2s 8 q 2

^ 7R

(,


ω `#

?

% > %!

" 0/ Y < > 1 . ! .

%2 T ) %R2

% s8

@E q "' 2 ) R2 5 π F 81

s8 ?

]2

% >

ω=

%4 %2 `%#

S1 q *F!

<

2 >0/ s 8 ω =

( )? ω

%F 81

( )ω

(

ω , ω `%#

"%F@2

)(

]2

-" "

9*

.

% > !

<

" 0/ Y < > 1 . ! .

%4 %2 "%' 2 ) %R2

ω

2 T

2

-

( ) ω

]

^ 7R

),

<

"

) S1 q *F! - π ` 81 ω

2 5 ! 2 ) R2 ` 81 BS@ G 9 "' 2

"%I@B1

1 " \@1

( )

F 81

>0/ 34 ?@o h a $ ! 2 @ ( ) =

"

- N- ` 81 ω ,

@E q "' 2 0/ r ω

<

%B4 8

@E% G %9 "%' 2 >0/ s 8 π

< N- ` 81

-5 ! =ω

>0/ 3 1 @2 a

<

π

` 81 ω

( ) ω

F 81

( )? ω

]

>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> ≤ ≤

[ ] = 

[ ] = [ ]− [

>

= −∞

M1

t 4 # J @/

O

@ U 9

] > @ ( E+ a @]BE2

[ ]=

@

T *

[] > @ ?@@

P

[ ]J

@/ &' ,

" ? " "

(,

< @ @

J<

`

"

( )* $*+


≥ [ ] = δ [ ]− δ [ −

$\

( )=

[ ]=

(

− ∑

= −∞

)= − −

]

$ 0/

O, "' 2

*

[ ]J

@/ &' ,

&

. NB/

[ ]←→ ( ) =

$\

()

J<

. NB/

(,

*C +

>

$? −

>

>0/ < =2 " 2

' @/

[ ]J

>

@/

0/

>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>

[

 − ] =  −  

≤ ≤

"WgE%2

=

M1

"

] ( )<

. %2T 0/ " >

T N%- %@y

@

uWu2 J @/

^

≤ ≤

[ ] = [ ]∗ [ OP

>

2

%]2 ?@%'< "%

t N%- %@y

]2 ?@'<

>0/ OP 12

I

@ ?@@

< ?! ' 1 v :

[ ]"

]"

. NB/

@

\@1

2 5.< > $\

(,

()

S1 > @ @

$*+

[ ]∗ [ ] "

: uWu2 ' @/

[ ]∗ [

"

&' ,

"WgE2 t 4 # J @/

"@'< w ! "@xC B %

=1 "

=

\@1 >

2 &' , 2z

? O "WgE2

=

> ! (,

2


( )=

[

− −

>

]←→

− −

[ ] = [ ]∗ [

→∞

$0N@! 0@- :

. NB/

?! ' 1 0@- :

. NB/

>

− ]← →

 −   −

− −

  

> " I1T

( ) = = [ ] >

2 . <T

"@xC "@'<

()

]2

>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>

[ ] = 

    $

@ U 9

[] V !"

@ @

> ! "B!

( )=

( )5

*

`

&WBR2 J @/ <

[ ( ) + (− )]

N- ` < pZC ` $\

=

"=N5

_

[]

( )>

( ) >L $*+

*

?B9 4

> −

[ ] = [ ] = 

[]

= ≠

← →

( )=

$\

( )

J<

>

" "

J+

6


[ ] =

[ ]=  

[ ]=

[ ] + (− ) $\

[ ]=

( )

[ ] 

[]

%

% ( %RB1 ?% 5

[ ]=

$0/

E 1

( )

[ ]

 

5\@ ( RB1

( ) = ( )[ ( ) + ](− )

( )= w %! <

( )

[ ]=

* C

-" "

[]

-"

>

()

N%- ` < pZC `

4

# .<

>

1 2 . <T

>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> * % n%FX

. NB%/ < % > 1 w

2

h

BE@/ "

\BE@/ ;

> 1 i B2 {WX

BE@/ K

+

  − 

d @ ?@@

  

&' ,

  − 

"

− +

(,

+ +

), $*+

> ! "B!

+< .

) :

ZC c@

>0E@1 > !

2J

?

5 1

>0E@1 J

1 i B2 * /?

C

=

\BE@/ ?

5

5

0 1 <

5

h<J

pZC ` *

= =

\BE@/ `

? pZC `

*

&' ,

pZC (, *

),


* % <

[ ]"

% }%/ h %

v %:

\BE%@/ `%

%2

BE%1 | h >

@

>0/ >0/

C

.

=

( )=

]@]+ @y

B/ 0/

[]

# .<

5

h

T (,

ZC

→∞

> ! J %:

1 E%F

" 2

> ! 8@1 pZC L 0%/ . ! . ?

?@ A

>0/ 09 4

- < ) R2

"W

> B9 @ G N

)< 82 0N

C5 ! 2&

=

% >0/ + < % 1 V/

T

[]

.

*2 ! < < :<

:

[]

25

ZC 50/

-" " . C

S2

>

M1

=

.

T &' ,

()

# &' ,

[ ]5

!

[ ] # (, ( ) # > BE ]@]+ [ ] #

<

-" >0/

< <"

N- <

BE

> 1 "B9 4 ?

# 50/ J

BE " 09 4 "I@B1

{WX

$*+

( )<

ZC c@

F >_

J g/ < "

f0/

10 1

>O

( ) >^

N- <

$ @ }/ h f0/

[ ]> [ ] >L

]@]+

B/ 0/

>

()

<

()

M1

→∞

>

k

pZC < 8@1

F " pZC

5a 6RS2

h \BE@/ " 09 4 "I@B1 {WX

2

\BE@/ `

> 1 V 2 \ " mP

K *F!

2 m "


[]

[]

⊕ −

− −

[ ]< [ ] .

> @ @

w

W N "' 2 &' ,

f0/

h \BE@/ T (, $*+

$" \@

( )=

( ) 

− −

=

[

( )−

S1 \@1

2

Lm J u2 8@' 1T

. NB/

&' ,

+

+

− ]+

[ ]− [

[

 =  −

− ]+

( )(

]

+

)

$\

5

$\

[

]

( )= ( ) () "

9 nFX ?B9 4

#


\BE%@/

%# > %1 . %! ;C <

%+ < . %

*2 !

=

"F *@' >

1T

<

:

>

<5

()

pZC < V]9 5

( )~

-"

(,

50/ J

>0/

h \BE@/ 50/

>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> > @ QRS2

`

"@+ 1 5"B9

' @/ "9 ZF

[ ]= δ[

[ ] = 

    + ]+ δ [ ]+

*

[

[

+

]

[− ]

&' , (,

[ ] = 

   

), $*+

( ) = ∑  ∞

   

[

=

∞   = ∑  =  

=

=

=

$ 0E

X "9

*

&' ,

+

> −

] + δ [ ] + [− ])

= ∑ ( +δ [ ] + δ [ ∞

]=

X "9 ZF

  −   

( ) = ∑ (δ [

+

$ 0E

])

`

*

(,

$ 0/

"9 ZF

*


( ) = ∑ 

  =  

=

( )

∞  = ∑   

>

>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>

[

@

− ]+

[]

M1

[ ]= [ ]

> @ @

[ ] = 

   

> @ @

[− ] =

<

< :<

[− ] =

[]

" <<

[ ] = 

   

[]

< < "Z

\BE@/ ? "

[]

N- %

\BE@/ ? "

BE@/

L

< < }/ h &' ,

N- % 0' + }/ h (,

\BE@/

< : ), $*+

$\

5. ! .

*@E1 N "' 2

( ) + [− ] + ( ) = ( ) 0/ . ! . " T > [ ] = "

"9 ZF

@ U 9 5 N-

( )=

[ ] = −(− ( )=

)

( )

J X

< < }/ h

&' ,

$ [− ] =

( ) + [− ] + ( ) = ⇒

*

+

*

[]

{( ) [ ]}= \

[− ] = \@

?

2

C N-

nFX ?B9 4

q + }/ h

(,

> −

?


(

  )=   −  

  −   

[ ]= [ ]= − T %

    −   +    $\ <T 2 0/

*

nFX ?B9 4 < o8

    [ ]   0/ N- < < }/ h < N-

E " " VE

[ ]+

   −  [ ]+   "@+ 1 5. \/ T

    [ ]   N- % pZC >"1

q + }/ h H I2 W }/ h ),

1> @ @

"B!

< J @/ "

*

9*

L

" > @ QRS2

δ[ +

δ[ −

]

] (− ) [ ]

     

+

  −   

[

[−

        [− ] +    

     

(, ),

]

+

]

, %,

[

]

<,

[

]

,

]

•,

[

&' ,

$*+ > 1 . !.

S1

L *F!

F

[ ]= δ[

4 % N+

]

+ % &' ,


( )=

0/ + < .

( )=

*2 !

<"

[ ]= δ[

]

9* (,

= 8I

( )=

∑ ∞

= −∞

> !

[]

= ∑ (− ∞

=

)

2 +< .

*2 !

<"

" 9*

),

=

+

>

> !

( )=

[]

( ) = ∑( ) = −∞ ∞

= ∑

1 +< .

*2 !

[ ] = 

   

1 +

<"

[

9*

]

+

,

− +

=−

=

− +

=

>0/ + < .

> *2 !

[ ] =  − 

  

<"

[−

+

]

9* %,


( )=

[]

+∞

( ) = ∑ (− ) = −∞ ∞

= ∑ −

= −∞

=

− −

+

=

=

=

= −∞

= ∑

= −∞

( )

∞   = ∑  =  

= ∑ ∞

=−

− +

− +

=

=

( ) (− −

2 +< .

∑ ∞

= −∞

[]

= ∑

= −∞

=

( )

( ) )

=

− −

= ∑( ∞

< − −

<"

9*

(

)

<

(

)

<

=

1

1 +< .

*2 !

( )

> !

( )=

<

+

> !

[]−

∞   = ∑  =  

=

+

( )=

( )

=∑−

<

)−

*2 !

[ ]=

1

[− ]

<

9* @ U 9 <,


( )=

[]

= −∞

=∑ ∞

=

 =  

( ) −

( )

=∑ ∞

=

+

    − 

     

[ ] = 

   

[

]

@ U 9

    −  

   −  

( )

=

− −

>

<

>

<

[ ] = [ ]+ [ ]

$ 0/

W "'

*

( )=

(

− −

− −

)+

<

> ! = ∑ ∞

= −∞

= ∑ ∞ =

=

[]

( )

− −

=∑ ∞

     − 

     

<

=

2 +< .

( )

*2 !

[ ]= (

)

]

9*

@ U 9 ,

− −

>

> !

2

+ < .€ < *2 !

<"

×

[

<"

×

9*


×× ×

×

×

× ×


N%- % pZC

1 > @E

>"1

"BE *F! "

< J @/ "

9*

"

     

 π π +  [− −  

K

"' 1

@ QRS2 > @ QRS2

     

,

]

> @ @

*

LL

"@+ 1 5.

{[

+

]− [

(,

\/

]}

&' ,

     

),

$*+

( )= (

)

( ) +( ) +( ) +( ) +( ) +( ) +( ) −

+

( )

*

( )= (

( ) ( )

 −    − 

)

)

<"

[ ]+

[ ]←→

. ! 7Rh BS@

% <

>

N- 0S <

8@1 N- ` "

9*

[

! @

    

H !

7 %: p%ZC % "%

( )

>

[ ]= (

. NB/

+

8@' 1T "' 2

!

]

@ "

2 +< .

*2 !

$0! 1

2

6 1

d

= 5

N- 5 # ?

: "

( ) = 

   

2"

"=N- * T

! 2 r3+ @ U 9 (,

J+ −

> −

<


[

− ]← →

− −

>

?

( )=

( ( )=

( )= −

<

[ ]=

( )

=

[ ]= ( ( )=

[ ]=

[ ]−

[ ]−

)

[]

[

$?

)−

>

<"

<

9*

[ ] = ( [ ])

( )<

$ 0/ -"

[]

),

"

[] >

[−

− ]← →

( )=

<

− −

<

$\

( )= −

<

$\@E 1 2

]

@ "

<

<

?

"

( )+

( ) − ( )= − ( −( ) ) ( − −

$\

@ ]BS2 0@- : − −

. NB/

)

@ ]BS2 0@- :

. NB/


( )= −

( ) − ( )= − ( −( ) ) ( −

( )+

[ ]=

(

)+

π

π

> !    

+

2 π

2" − π

9*

<

?

  [− −  

)

<

$ 0/

$\@E 1 2

-"

"' 1

,

] J+

+π +π

]

[−

π

− ]← →

<

π

< −

]

[−

− ]← →

− π

<

π

$?

( )= +

π π

− π

− π

<

()

$\

( )=

[ ]= −

− −

( )

+

+

[ ]+

o8

E " VE

,

(− ) $\

[]

0/ 0/ "' 1

>

$\

<T 0/

0/

M2"

#

' B2

@E]


( )=

  −

( )=

 −  + 

+

+

( )

[ ]= −

+

+

+

 +  

(− )

[ ]+

+ $0/ ?B! 1 * C

 +−  

?

[]

()

$\

( )=

[ ]=

− −

( )

+

[ ]=

+

[−

− ]−

[

[

+

(− )

+−

+

+

+

+

− ]−

[−

+

+

[−

>

E VE

,

(− )

]

<

0/

#

]

50/ 0/ "' 1

     

o8

$\

( )=

( )=

+ −

-" "

<T 0/ +− $ !

]

' B2

2 E 1

@E] K I1

* C

-" "

?

[−

] $\

o8

E " VE

,


( )= −

+

( )

[ ] = − δ [ ]+ ( )= − ( )= −

>

[] $\

+

+

  +

+

( )

[ ] = − δ [ ]+

+

0/ r

"' 1

+

$0/

 +  

E 1

* C

-" "

$?

[]

     

$\

[−

o8

E " VE

!,

[ ] = − δ [ ]−

( )

K< r

[−

<

0/

M2"

' B2

#

] $\

@E] K I1

[ ] = − δ [ ]− ( )= −

' B2

+

$\

( )= −

#

"

@/

@E] K I1

− −

]

$0/ ?B! 1 * C " \@

S1 \@1

2

-" " 2?

!,


( )

[ ]=

[ ]−

( )

[ ]= −

[−

"% VE% ! <

( )= ( )= ( )= ( )= ( )= ( )=

− ]+

" >

( )

[

+

( )

]

+

nFX `

<T 0/ " ) R2 >

*

+

(−

$" \@

S1 \@1

)

>0/ . ! . - \@E]

*- +

2 " S2

*

#

W@

/<

" !, LO 8

E

<

> −

< −

  −  −

− −

  

>

<  −   −    >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> > @ @ . ! QRS2 t< "

* $ 8

i B2 "' 1

L^

E " VE &' ,


0/ 3h;

( )=

[]

a ]WZ2 −

+

$\@E] (,

( )=

+

0/ $ 8

E " VE ),

0/ 3e

( )=

( )=

( )= > %!

  − 

  − 

(

2

[]

a ]WZ2

()

-"

$*+ &' ,

) $?

%+ < .

[ ]= ( ( )=

$0! 1

[]

B/ 0/

()

*2 !

)

6 $0/

[]

-" "

$\

+

+−

5 !

j

()

3h ;

?@ 2

>

0E

<

' B2

" X

@E] K I1

[]

4

?

(,


[

] = δ [ ] −  −    ( )=

[ ]=

[

+

O, *@W= "' 2

]

=

$\@E −

  − 

  + 

  

()

− %!

( )

+

o8

2 ),

E " VE

%+ < . % *2 %!

( )

[ ]−

<

. NB/

( ) \@1

-"

$\

( )= BE%

$\

"%F

%M 2 "% 50%/

3e

@2

$0/

[]

Z 5

[]

#

>

-" " >

>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>

( )= 5 %! "% < %@ @

pE%+

( ) > @E% []T

>

  −  % "%W

M1 −

 −  −  # 0 E1 "

(

< 5 %@ VE%

) 8

% "%W !

B/ 0/ "' 1 L L_ PL_P

E " >

pE%+

[]

*

-"

pE+

"W

F q

$ 0E

K, "' 2 &' ,

[]

<T 0/ "

# 0 E1 >0/

PL_P

T

PL_P

< @ VE K, "' 2 (,

# 0 E1 "

8

. 2T 0/ " "I@B1 " X

()

K,

E @

S1 $*+

o8

E " VE &' ,


( )= −

[ ] = −( ( )=

+

)

?

>

>

[ ]+ [ ]

-"

BE

$0/

( − )(

( )= =

[ ]q %

?

5

[ ]= − [ ] = −(

% 0

( )=

     

)

*:

( )"

+

[

E 1

B/ 0/

* C

-"

[]

#

()

(,

)

$\

   −  +   −   −      −  +   −   −   > > 0/ J @/ ?

"%

50/

"W @ "

>\ <T 0/

+ ]+

[

$\@

E 1

[ ]+ [ ]

l F2 *

+

o8

6

5 !

\@1

2 " 0]@]+ ?

)

$

2"

? \@1

>\ <T 0/

B/ 0/

[ ] = −(

] -"

E " VE

[]

" 0/

4

. NB/

[ ]+ [ ] [ ]= [

2 5 [− ] = "

&' , 0 EC

. NB/

+

]

@ " R/ h ?

>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>


( )=

>   − 

  − 

(

@

[]

*

e#0/ "' 1

)

> @E %F K % % " 5 @E

M1

"W

pE+

"W

# 0 E1

< H I2

-"

()

> ! "B!

()

-" 8

&' , >

Ld

&' ,

E " VE

(,

. 2T 0/ "

ZC

[]

<T 0/ "

), $*+

( )=

( )= >

[ ]= (

$\

   − ( −    −   − 

<

)

[−

&' ,

)

+

$ 0E "F

5 W C "WgE2 &' , 0 EC

q

$\

  −   X J @/ ?

6

B

9*

− ] − [− −

*: l F 2 "

]

W C "WgE2 (, 0 EC

(,

[]

4 ),

5 ! \@1

e# 0/ 2 0]@]+ ?

. NB/ $

2"

[ ] =   [− − ] − [− − ]   >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> +

>0/ . ! .

*

[]

B/ 0/ "' 1

Lk


( )=

+

− −

− −

+ + −

+

$\

( )=

+

[− ] =

K< r

+

$*+

()

<T 0/

<

' B2

@E] K I1

+

[− ] =

<

"' 1

[]

<

> @ @

$\

[− ] =

<

O, "' 2 "E ]2 5?

[ ]=

<−

[ ] = δ [ ]−

δ[ −

@ @

] > @ \/

[ ] "%

9*

"2

1 5 +< .

@h

"' 1

*

&' ,

Lm

&' , "' 1 pZC < N-

pZC < N-

B9

<

1 (, /

),

> @ \/

]

" $*+

( )= *F%!

$\ −

2 [_ H ! " >

.

<

&' ,

=

( ) pWZ2 ?

N- d

pZC d < >0/ . ! .

×

π −

−π

π

(,

S1

 ω   

. NB/

=

"%A1 #, > %!

O, "' 2

π

Lm

π

Lm, *F!


>0/ . ! .

S1

Lm *F!

"

9*

.

1 ),

>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> %

i B2 "

9*

" 2 5^P

7R

E1

9 }/ h ?@@

> @ \/

L[P

/

t<

. NB/

L[

K *F! N- % pZC

1

` $*+

> 1. ! .

−π

−π −π −π

ω

π π

π π

−π

ω

−π

S1

L[ *F!

ω

π

ω

π

π π

>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>

[ ]= [

>0/ V 2

+ ]∗

[−

+

]

[ ] < [ ]J

@/ <

-"

[ ]J

@/

O T

"


[ ] = 

   

[]

Ζ [ ]←→

[ ] = 

   

<

[] . NB/

>

!

π "

×

×

! !

×

×

×

×

! π "

ℜ +*) $ %& '( !

"#


[ ]J

> @ @

@/ *

5 *

v :< $*+

[ ]←→ ( ) =

[ ]←→ ( ) = [

+ ]← →

[−

+ ]∗

. !.

X

> −

<

> −

$\

()

+ ]← →

[ ]= [

$\

5 2

0N@! 0@- :

>

$0! \@ : 5 1 2 0N@! < 1 2 l F 2

( )

0@- :

. NB/

<

[−

. NB/

+ ]← →

( )=

$\

()

5?! ' 1 0@- :

( ) −

<

. NB/

5J +

< "I@B1

( )=

  −   −  −     >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> \@1

2

( )*

[]

2

"BEE4 J @/ >0/

2

B/ 0/ < ]@]+ > >

>

BE1 | h

pZC `

pZC < a ]@C • 2

=

N- < π

O

[] > ( ) >L ( ) >O ( ) >^


( )= @ 0%N

  =    % "

p%ZC

()

N%- <

π

% ZC

( )" @ () BE% >

( )=

( ) "%

U 9

N- L

" I1T

BS@

()

BS@

( )"

π

  − 

  −  <

π

− π

  

= " \ @4 2 "I@B1

  − 

− π

>

> !

4 > ! "B!

$*+ \@1

25 ,

> B9 @ G N )< 82 \ @4 2 "I@B1 5

N- T

B

> ! "B!

( )"

-"

BE

( )=

"

50/

N- L

\ ! 2 " B2

4 2_

   -"

()

"B9

( )"

pZC

2 @ O

$ !

  − 

}/ h

[ ]"

]@]+

2 @ ^

! "B! 1

! "B!

"

>0/

%

N- L *-

$?

( )=

ZC BE ?

M1

>_

B/ 0/ "

#

[ ] "F

*@'

>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> ≥

[ ]= 

M1

"

}/ h

\BE@/ `

OL

<

[ ] = 

@

≤ >

!J X T"

<T 0/ "

[ ] < [ ] ?!

' 1 Y - " / =2

[]

< <"

< : &' ,


" % }%/ h <

<<

%

*

( xW- + *

[]

n=FX " / =2

< : (, > @ @

$?

[ ] = [ ]∗ [ ] +∞ = ∑ [ − ][ ] = −∞ −

= ∑

[

=

[

 ] =   

( )= ( )=

(

]< [ ] =

(−

) ( − ) ≤ ≤ )(− ) > −

2

-"

$

&' ,

[ ] 5J +

/. /

− $\

0/ . ! .

< ≤ ≤ − > −

<

[ ]"

] $ !

   ] =  ∑  =  ∑−  =

[

[ ] = [ ]− [

$*+

L J<

. NB/

(,

> <

− −

− −

?


( )= ( ) ( )=

( − )( −

)

( − )( −

)

( )=

$ @ U 9j

( − )( − −

(

( )=

[ ]=

$\

(− ) −

[ ] = [ ]− [

(

(−

E " VE

>

0E

X

$?

[]

"

] ]=

[ [ ]− [

− −

)(− ) )(− ) −

o8

0/

+

 ] =   

()

>

[ ]+

)

)+

( ) = ( )[ −

[

[ [ ]−

J+ $?

]]

@ "

[

]] $0/

<

@ * C

-" "

≤ ≤ − > − >0/ &' , 0 EC "I@B1

?

>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>

[ ]−

> @ @

[

− ]+

W N "' 2 . ! &@-

[

]= [ ]

{WX

\BE@/ *

;

&' ,

OO


[ ] = 

   

4 (,

[] >

<T 0/ "

*

[]

. NB/

$*+ $\

5

( )= ( ) = () 0E

X

+  

>

( )=

/ "- : < . ! .

+

*

?B9 4

[]

#> 1

C

( )±

  

  

[]

ZC

$\

(,

>

$?

( )= ( ) ( ) =

()

  − 

%

 − +  −  %2 %@ "% >

   :

()

$\

( )=

&' ,

0/ J

=  

*@E1 N "' 2 ?@9

( )< ( ) o8

‚ B!

E " VE

>

>

() 0/

+ −

+

$\

L J<

. NB/


[ ]= (

)

[ ]= [

( )

 π     0/ . ! &

[ ]+

− ]+ [ − ]+ [ − ( ) % ZC < N%- > @ @

\%/

[] W N "' 2

]

\BE@/ ?

{WX

\BE@/ `

O^

( )= ( )

( ) \BE@/ ;

&' ,

> @ QRS2 > @ @ W% N "%' 2 "

@ @

{WX @y,

h"

}/ h ` >0/

"@+ 1 5. \BE@/ "

}/ h (,

h 1 \BE@/ ? "

@ @ 2 ),

>

G 9 $*+

( )= ( ) = () 5

/ "/ : < *@E1 N "' 2 ?@9 −

()

[ ]

>0%/ J %

=

%%# > %%1 . %%! ;%%C < %# 1 . ! .

S1 > !

( )=

[ ]= −

$\

−  + −  

 +   

"

9*

?B9 4

&' ,

N%%-

=

[]

$\

   

   

+ −

[ ]+

 − −  

 −   

   

( )± 

 O^ *F! >

()

  ( ) %% ZC   pZC % NWF!

( )+  o8

  6    E " VE (,

   

$?

[] $0/

6 J+


×

×

+

   

$\

 −  

( )<

( )+ 

     "F U 9 J + ),

$ 0/

<

 +   −    [− − ] +   [ ]         >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>

[ ]=

[

− ]−

T

"

[ ]+ [

@

+

[]

M1

]= [ ]

< :<

[]

> ! 1 0%/ "%

\BE%@/ ?F 2 "

!

}/ h "/ 5 W N "' 2 ? >

2

<<

\BE@/ `

{WX <

h 1

N- % pZC

O_

2 \BE@/ ?

1 ?B9 4 M1

W N }/ h "/

"

@

S1 >

<T $*+

( )= ( ) = []

$\ <T 2 0/ −

+

=

/ . / < *@E1 N "' 2 ?@9

*

?B9 4

+

$\

()

o8

E " VE


( )=

+

[ ]= −

( )

[−

− ]−

*@E%1 N "%' 2 6

( )

+

[ ]= [− ] = [ ]= . %2

[−

$\

[+ ] − ( ) [−

( )

[ ]=

[ ]+ ( ) [ ]

( )

[ ]=

− ]−

() [

( ) [−

[ ]= [ ]

\BE@/ ? 8

$

] −

%4 \@%

$

]

] +    

+

]−

[

+

>

!

4

6

<

!

4

6

<

!

4

S%1 \%

*@E1 N "' 2

( )− [

6

( )

[ ]

[]

]− ( ) + [

[ ] %]2 [ ]= δ[ ]

%@1 J %+ 5 @ U 9>

+ ]=

6

[] "' 2

"

[ ]= δ[ ]

"

<− −

=

[ ]< [

> ] "%

S%1

%

%2 " S%2

%Z 5 %

%2 < @h >

*@E1 N

>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>

[]

% < :<

[]

<< 5

I

3h 1 @@„

2

"BEE4 Z: \BE@/ ` T

"

@

Od M1


[

− ]−

[ ]+ [

]= [ ]

+

> @ @

\BE@/ "

}/ h >0/

h \BE@/ $*+

$\

( )= ( ) = ()

/ "- : < *@E1 N "' 2 ?@9 +

"

?%

− −

+ −

<

> %!

[ ]= −

( )

?B9 4

=

+

$\

( )=

9*

o8

E VE

<

-"

[ ]−

BE

( ) [−

50/ i B2

h \BE@/ `

()

#

$

-

]

>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> >

[]

2 S1

{WX

\BE@/ F

"

7 1 OkP ⊕

K *F!

Ok

[]

> @ @

[ ]< [ ] .

w f0/

W N "' 2 &' , h \BE@/ T (,


$*+ \%/ *F%!

% *F%! &' , 0 EC ?@%# V%: *%:

*F%! (, 0 E%C $" 0/ Y <

. !. !.

. %! .

S1

-"

S1 \BE@/ <

S%1

%- "% %1

*F!

@@„

W \BE@/ *

[]

2 a I2

F/ J 6 ; "F

< > !.

[

ℑ ⊕

2? > S1

Ok

S1

Ok

]

ℑ−

[

[]

‚ W &' ,

-" 1

2 \BE@/ < > ! .

ℑ−

ℑ−

K 4

]

ℑ− −

ℑ−

[]


$\

+

( )= ()

( )= %- "%

/ "- : < *@E1 N "' 2 ?@9

+

BE%

50/ J >0/

= −

  + 

(

#>

  −  =− <

< !

2 +< .

\BE@/

h \BE@/ J +

+

*

?B9 4

(,

ZC

()

)

= *2 !

>

> !

>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> @

( )=

() ()

M1

[]

\BE@/ ; <

{WX

\BE@/

Om T

( )=

+

( )= %M1

"

<

( )<

' @%%/ *F%%! ?%%

()

"%

S% 1

50%%/ . % ! .

%/ J 6%

S%%1 OmP

> 1 . ! QRS2 8@1

[]

<<

%- "

K *F%%!

()

*%%- + 7 % 1 > % @ ⊕

− −

7 1

[ ]< [ ] 5 [ ] 5 [ ]

⊕ −

"

[]

X 9


[ ]< [ ] "Z [ ] < [ ] "Z

f0E@# f0E@# @:…% <

\BE@/ \@]BE2

"

7 1 (, < &' ,

&' ,

R/ h " "

(, ),

> @ \/ .

(

$ @ \/

  + )=   +  

( )=

+

+

   − −     − −      > @ \/

− −

"Z l /

"Z l /

5

/

5

2

"

"

7 1`

,

7 1` % ,

$*+

[ ] = [ ] &' , [ ] = [ ] (, %- "% . <

M1

2K 4

‚ W

2 5 (, < &' ,

B EC | B1 >

"

⊕ −

E 1

. NB/

),

Om *F!


[]

[]

⊕ −

[]

K 4 %% *F%%!

#

‚ W 5 W- ?B2, / ( B ?@%%# V%%:

[]

"%%F

J u2

( )= ( −

  −  >0/ \BE@/ < ?

. !. −

)

   F/

S1 t< <

(

( )>

. NB/

  + )= +

[

1 . !.

,

 

]

7 1


<

( )=

K 4 % ‚ % W 5 % / ( % B J % u2

% *F!

‚ W

"

6

2

( )= ( )= ( )=

  − 

  − 

  − 

% > @ \/

+ + +

"

  − 

  − 

+ +

S%%1 t<

<

>

( )<

2 {WX

 − +  −  > @ \/

7 1<

( )=

( )<

>0/ > 1 ! 2w

. %! .

"

+

1 . !.

()

S1

()

2 p@

\BE@/ ; "/

O[

  

      BE@/ ?

' B2 p@

# J 6 " 09

( )=

\/

BE@/ "

-"

`

\@]BE2

"

7 1`

2 T"

> !

"

7 1 &' ,

7 1 ` \BE@/

> ! . ! "B: / \@]BE2 *F! " " 2 \BE@/

. NB%%/ % %%% ,

]@]+ po

K< " 2

(, "

7 1

@ ?@@ \BE@/ K

"

@C ?

), 5 ! J< $*+

O[ *F%!

$ , 0 E%C

. %! .

S%1

6 1

2K 4

‚ W \@]BE2 *F! > ! \/

( )=

"F " "

>0/ . ! .

+ S1

O[ S1

$ , 0 EC F/ K 4

‚ W


[]

[]

⊕ −

∝ β

δ

%∝=

β =−

=

δ =−

! " %∝=

β =−

=

δ =−

! %∝=

β =−

!

[]

=

δ =−

[]

⊕ −

⊕ −

⊕ −

&

=

$=

!"% =

$=−

! % =

$=−

! %

%= %=

#= #=−

#=−


(

  )=   −  >

   − −  −  4 \/ ]@]+ p

*F%! ' , 0 E%C

( )=

. %! .

    − 

S%1

6%

#

2

1

K 4

+

+

)

, 0 E%C

. %! .

>

O[ *F! ' , 0 EC

   −  + +   \BE@/ # F/

> ! \/ 5 ]@]+ p

S%1

O[

6%

%

%2

"

   −    − -" 1

‚ W @ "

    

( )?

1

K 4 % ‚ W \BE@/ *F! ), \/

O[

"F "

+

>0/ . ! .

(

\/

F/ K 4

>

( )=

( )?

2

S1

    − 

@ "

/ ‚ W \@]BE2 *F! (,

"F " "

  )=  (  − + 

*F%!

    

F/ \BE@/

>0/ . ! .

(

"

  )=  (  − + 

)

    

    − − 

+

S1

O[ *F!     − 

, 0 EC     

    − 

F/ K 4     

"

‚ W @ "


> ! \/

]@]+ p

\BE@/

# F/

1

( )?

1

>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> > @ @

L P

"WgE2

"' 1

`

"9 ZF

*

^ $*+

( )= ∑ [ ] ∞

$\

()

>0/ N∞

=

$ 0/

]

5.

( ) = ∑( ) =

*

&

. NB/

=

+

]

[ ]= δ[

0/ N-

$ 0/

[

0/ N−

[ ]= δ[ + ] # ]r ZF l hq *

&' , (,

− ω

=

=

≤ ≤∞ .

$ 0/

( ) = ∑ (− ) [ ] ( )= ∑

`

=

( )= ∑ δ[

"9

[ ] = (− ) [ ] r

ZF l hq *

),

>

[ ] = 

   

[

+

] "9

ZF l hq *

,

)

[−

] "F1T *@'

%,

=

=

>

>

( ) 8@1 ( ) 5

!

2 ≤ ≤∞ .

[ ] = (−

"9 ZF

*

<,


( )= ∑ (

) =∑ ( )

[−

=

+

]

=

=

( )= ∑

[− ] + 

=

=∑ ∞

=

=

( )= ∑ ∞

=

= =

   

( )

[− ] + 

   

[ ]=

$ 0/

[

]

[

]

"9 ZF

*

,

"9 ZF

*

z,

( ) [ ∑( ) −

]

$ 0/

[ ]= (

)

[

]

=

( ) −

>

>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>

[ [

] =      ] =  

$ +

[

+ 

[ ] 

]

@

M1

J @/ <

^


* % p@

( ) < χ [ ] < 5 [ ] "9

"

[ ] = [ ]∗

> @ @ %@ "

>> @ @

< < "9 ZF

*

p@

> BE

&[

J @/

]J

@/

( ) ( ) "9 χ ( ) χ ( ) "9

<

*

ZF

( )<

"

[ ] "9

> BE@1 EF

()

< < "9 ZF

nFX ?B9 4

*

χ

nFX ?B9 4

&' , (,

[ ] < &[ ] "

$*+

( )= ∑(

)

=∑

( )

=

( )

= ∞

=

[]

$. ! .

< >

$ 2 . +

( )=

(

( ) ( )=

  )=   − 

. NB/

( )=

( )=

X

L J<

. NB/

>

> $\

  − 

$ 0E

0N@! 0@- : <

  − 

()

X

    

o8

  

E " VE 5

>

( )$

0/

&' ,


[

$\

] =    

+

  + ]−    

[

5 2 . +

[

+

+

0N@! 0@- : <

L J<

. NB/

] $\

'( ) =

( ) ( )=

8@1 '(

$ 0/

'( ) =

&[ ] =

%

    − 

( )

<<

  − 

− −

)

  − 

o8

  

    

[]

R%/ h 50/ . ! .

> &[ ] ≠ &[

− ]=

[ ] = 

[− ] = [ ]−

[

[]

− ]=

   

[ ]− [ ]= [ ] [− ] =

0E

]5

>

"@'< w ! < 5 < < ` 5 W N "' 2 ` > BE@1 EF

[ ]+ [

>

E " VE >

X '(

)~

?

     

[ ]−

(,

*

`

"

" 0/ Y < ^L N- % 0' + < N&' ,

[]

[

]

(,


[ ]−

[

− ]=

[ ]− [ ]= [ ] [− ] =

[

),

]

$*+ $\

( )+

( )=

( ) + [− ] = ( )

5*@E1 N "' 2 ?@9 j

− +

< :

[ ] = − (− ) [ ] = (− ) + [ ]

$\

( )+ ( )=

5

( )=

< < 5}/ h 5 *

[ ]= (

?B9 4 3

)

[ ] \@1

nFX ?B9 4 2 " I1T

J+

> −

$\ <T 2 0/

( )=

[− ] =

3

?

  − 

  + 

(

) $\

( )=

*

$ T 2 0/

( )=

"9 ZF

+ −

+

G 9

X o8

E " VE


[ ]= (

)( )

( )−

( )−

$0! \@ : *

[ ] + (− ) [ ] $\

W@E1 N "' 2 ?@9

[− ] = ( ) −

()

( )=

$\

( )=

( ) −

$\

?B9 4

3

" I1T

3

[− ] =

3

6

$

2 0/ $\

5J +

[− ] =

$

(,

( ) − [− ] = ( ) −

\BE@/ N- 0' + }/ h 5"9 ZF

5 W N "' 2 ?@9 −

"9 ZF

()

$\

( )=

5

>

. !.

>

[ ]= [ ] ( )−

[ ] = [ ] j0/ $\

( )−

( )=

5

*

( )=

$\

( )=

( )=

"9 ZF

nFX ?B9 4

5

*

( )=

*

nFX

?B9 4

3

),


( )=

$\

( )=

3

[ ]= (

)

$0/ +

-"

[]

< :%

< < }/ h < "9 ZF

%- " N- 0' + }/ h 5 ! . NB/ (, 0 EC

< < " S2

nFX ?B9 4

[]

<<

@

M1

( [ ]) = [− ]

4 *

      5 %! "B! N-, pZC `

"

( )=

=

()

@

4 "

> ! "B! > @

=B2

,

S1 *

@

[ ] )< &

S1 &' , N-, pZC \ "' 1

"' 1 `

^O

. NB/ 1 &' ,

"I@B1 " " =

2

(,

()

(,

"I@B1 ),

δ [ + ]+ δ [ −

δ [ + ]− δ [ ]+ δ [ − $\@

( )=

= −∞ ∞

= ∑

[]

( )

= −∞

=

[− ]

[ ] = [− ] "'

( ) pE+

2 ?@@

#

$0/

[ ]= [ ] >

" 0/

*

1

()

]

]

*

B &' ,

+

( )=

     

6

L, $*+

>

,

[ ] = [− ]

4 5?


"% \@%1

%2 &%' , 0 E%C "%I@B1

% <

p%ZC `

>

( )

= 0%' + ?

5 ! pZC `

( )= ( )

2 @ " > =

 5  

?

  = 

4 (,

( ) >

( )=

$ +

=

=∞ <

>

> !

( )= >

− = <

+

=

− % ZC

=

>0/ Y@=- ', 0' + " %

( )>

% % ZC

2 Y@=- (, 0' +

+

' @%/ * % >0%/

= <

2 S1 " 5

+

<

=

[ ] = [ ]− [

0/

]

()

N%%%-

=−

" 0/ Y <

=

2?

L,

N-

()

>

( )> ()

=− <

2 S1 " > * %

= 2

=− <

- " 5. ! &

" 0/ Y <

=

"BEE4 J @/ ` $ @

, ),

>

=

2?

J< * N

[

@

W X ∆"

   ] =     

[ ] ^^ ( ) pE+ 5 ∆ [ ] &' , ,

(,

[ ]= [ ]

), $*+

$\

0N@! 0@- :

. NB/

&' ,


{∆ [ ]} = ( ) − ( )=

[]

∑ ∞

= −∞

[] = −∞ ( )

= ∑ ∞

= 5 %9

%

( )=

= −∞

= ∑

[ ]

+∞

=

= −∞ ∞

= −∞

-

= ∑ ∞

=

%2 > @

= −∞

%@o 2 N " $\

$ T 2 0/

-"

()

*

>

[ ] = { [ ] + (− ) [ ]} J @/ @ U 9 ), J< . NB/ ?@ A [ ]= < [ ]= [ ]

=  

  +  −    "BE%E4 \BE%@/ ` * ;

@

) ( )

[]

[]

[]

% "% ∑

( )= (

!< "

 

  1

:*q > !

2. !. <

W N- "

` K }/ h 5

@ ?@@

^_

h a 2<8' "1 '< 5 {WX

(− ) −

(

&' ,

)

(,

−    −       −   

),


   −       −   

, $*+

[]

T < T 2 0/

*

l F2

J @/ " \@

2 U 9 5"'…E2 ? 0 EC >\@2 1 2

% \@1 % "% >

%2 ?

%4 %

>0/ ) R2 " 2

VE%

-" " 2. !.

? BS@ "

5\@ . NB/ >

T l %F 2 J %+

> % T 0/

[ ]=

W C 0 EC *

%@ " >0/ "B9 0N@! †# 0 / " + < , .

1 " "

BS%@ "F

\@ . NB/ >

VE%

% ? BS%@ 5

*

[ ]=

%4 2 J X

VE 5 *

@E]

"

2 "I@B1

!

> [− ] ≠

VE

<

? 5 @: (,

2 W C 0 EC l F 2

' B2

VE

*

*

"W- + J @/

=−

2 "I@B1

W &' ,

' B2

( xW- +

>0E@1 N%

*

@E]

\@1

2

2 5 W ),

<

" >

' B2

@E] "F@2

4 P ,

V 5 @: ,

2 "I@B1 " >0/

,

>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> "%' 2 % \BE%@/ ?% >0%/

[ ] = [ ]−

[

]

> @ QRS2

( )= ( ) ()

*

[]

<<

"

\BE@/ `

[ ] "'

< :

1

^d

>0/ . ! &@-

W N

@ @

&' ,

< < T

; >\@

"@+ 1 5.

[]

\/

[ ]5

"=N- < \BE@/ `

\BE@/ ; T

N- <

ZC

\@ : 2 (,


%

( ) ?F

5. % ?@@

2

+ 1K

> @ QRS2 @ @

"Z .

[ ] = [ ]∗ [ ] = [ ] $\

( )= ( ) = (( ) H %

2 ?% >

> =

− −∝

− ∝

H !"

8I 5 !

=

.

\BE@/

[]

?F 2

[ ] < [ ] ?@

/. /<

[ ] = [ ] ?B!

> @ \/ +<

h< "

WX

2

}/ h K

), $*+

"Z "' 2 ?@9

*

?B9 4

&' ,

− ∝

J + N- m <

2 "=N- < ‡ 2 K

&X x2 pZC

=

>0/ . ! .

S1

X m, \BE@/ ^d *F! >

=

π / 01

.

×

/ 01

.

$\

( ) = ( ) = (( ) = () ()

(,

() $?

( )= <

−α

\BE%@/ "%

5

− α

4> 1 %

=

− <

− α

>

−α

%2 %@ 0+ %- " " >

<

<

−α

R1 + < .

-" *2 !

()

?F 2 5

6

< 5 !


"% 0/ + < .

*2 !

>

!

−α

-"

>0/ J

4 >0/ J

<

%

h \BE@/ "

B1T <

2 @ 0+ - "

( )=

− − −α $ @ U 9 J + > ! ?@ x \BE@/

( )=

[ ]=

− ∝

>

!

−α

$\

),

\

@1

-"

α $\

[ ]

− α

h

h1

*

>

nFX ?B9 4 >

( )=

>

( )"

$" \@1

−α

~

@ " 2

J+ J<

   = −α = ± ± [ ]=   !  >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> \@1 > 5

2

p' Z2

[ ]= \ %]2 K %

[ ] = δ [ ]+

]2 K "% . 1T 5

     

[]

< :< " . 1T 5

[ ] = 

   

[]

[ ] = 

<<

\BE@/ `

   

[ ] 50/

0 ˆ

2

^k

[ ]5

]2 K

" 4 P

5

]2 K

" 4 PL -"

[]

>0/ 0 ˆ

"

[] > @ @ > @ @

0 ˆ

< < " \BE@/ ?

[ ]=

5

]2 &' ,

[ ] }/ h

]2 K

(, "


( )=

( )=

"F@2

" \@1

2 L,

$*+

(− ) =

<

$\

,

&' ,

>

$\

+

( )= (

> −

 +∝− ) = 

  − 

  

(− ) = "

$\

pWZ2 ? " "

$?

>

<

< G 9 "' 2

α =−

$?

[ ]= ( ) =

5 !

2

() [ ]

[ ]=

-"

3

=−

=

J @/ " }/ h (,

>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>

()

% 4 \BE%@/ ; < ]@]+

\BE%@/ J %+ > % 1> % @ "%

%@ ?@@

2 S1 M1

[ ]"B!

()

()

[ ]"

}/ h

N- % pZC 4 \BE@/ ; <

` >0/ . ! .

WX

K< " 2 \BE@/ `

1 &' , ^mP

[ ]"

S1 (, ^mP

^m

K *F! >0/ . ! "B: /

}/ h

()

K *F! $ ! "B!

{WX K< " 2 N- % pZC w ! "/

[ ]= [ ] [ ] [ ]= < ∑ ∞

=

[ ]=

, L, O,


$*+   −    − 

( )=

(

π

π

 −  )= $    − 

  

( )= $

[ ] = $  −

+

π

π

2

[ ] = $  − 

∑ ∞

=

<

  

( )=

$ −

− π

 −     − 

(−

  

π

  

− π

"

π

2 5pZC N- K 4

@ 2 9"

)

J<

> BE 0 ˆ

,

)<("

_ O 0@- :

. NB/

[] $

[ ]= [ ] [ ] U 9

     

− π

 $ =  $\ @@ π

  

  −    − 

$0! 1

BE J

[ ] < [ ]"

‰T

E 1

2

@ "

>

$?

5

[ ] = ($ [ ]= 5

[ ]=

\

8@1 O

-" "

)(− ) "

<

"

[] $?

∑ ∞

=

5J +


$

= ⇒

$

= ?

[ ] =  −

  [ ]   >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> = . % < B%/ 0%/ "' 1 `

! 'q B/ I1T >0%/ l hq *

> BE 2

[]

4 "

*+ *: 8@1 5

! "BN4 LP <

π

π

"

"

×

B2

K

5 !

^[

*+ ƒ8

5LP[ 7R ^ 0@- : Jq B/ "@ ! a ]@C 5 B]@C Jq B/ >\ >

×

7R ^ 0@- :

ℜ "

@

[]

M1

π

π×

"

"

×

B/ 0/ "' 1

ℜ #

"o


[ ]= ∑ ∞

" = −∞

<

[ ] −

T

[ ] −

= ∑ ∞

=−

<∞ . 1T

[]

∑ ∞

=

<T 0/ "

<

pE+

>0/ 0/ LP

(< @

S1

7R ^ 0@- : "

P^[P

@ 1 S1 &' ,

4 nh

P^[P

K,

[ ] −

∑ ∞

=

X` ( T

>0/ 0 u2 0 ˆ >

"

K, "Z

"

B/

&' ,

"I@B1 " "

(, $*+

$0! 1 ∑ ∞

=

[]

[

= ∑ ∞

=

> "' 2

∑ ∞

=

=  

?

3

[]

= ∑ ∞

=

  

=  

 >  

[   

 ]  

  

2 −

-"

[]

= ∑ ∞

=

2 *@2 N- 0 / "

    ]  

 ≤  

  

  

− −

 ≤  

7 89 ≥

>   

  

^[ K, "' 2 †# r

  

  

  

?

>

∑ ∞

=

>

"' 1 5

   $\

&' ,

  

5

= ^[P ,

[ ] − ?

#


( )5

%! "B%!

()

%%

=

?

% % >0%%%!

= −∞

= −∞

4 "

  $    ^ 0@- : <

[]

e# 0/

[]

[]

= ∑

= −∞

= −∞

= −∞

>  →−∞ 

?

  

$\ <T 2 0/

[]   

@ U 9 ),

[]

= ∑  =  

  

<5 !

^[PL,

  

  

- " \@1

"

^[PL, "' 2 †# r

^[PO,

/

  

2

=

2 0 u2 ` 0 ˆ

  

^[PO, "' 2

= −∞

[ ] −

= −∞

=  

6

 ]  

[

= ∑ = ∑

>

[]

+∞

+∞

= −∞

=

"F

$\@E

< % %=2 % %1

"' 1

> !

= −∞

S1 q "' 2 1 (,

%%

L 7R

-"

2

>

[]

+∞

2 < @h $

[]

=

%% : >

[ ]=

()

) < =2 1

  

? −

2 J< "

 ≤  

>  

3

  

7

= −∞

 

[]

   −

  "' 1 5 ≤  −

≤  

 

5 ≤

?

#


5 %! "B%! >0%%%%!

) < %=2 %1

>

()

"%

%4 "%

%

2 S1 G 9 "' 2 1

$  < %%%=2 %%%1   L 0 EC _ 0@- : < 0/ = ≤

= ≤

%%% :

=

2 0@

()

ƒ "%%%%

6%%%%

( )?

1

>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> 5 %! &%' , _ P 0% ˆ E%1

K *F%! ‡ %Z2 T N%- % p%ZC

9K

" T E1

9 }/ h " 2

1"

12

"BEE4 \BE@/

5 ! 2 . 1 : 34K ω

!

J< " 2 \BE@/ >0/

( )"

>0/ 0 ˆ

_

@

S1

- " &' ,

! ω

× $

× $

>

)% %

> % @

%M1

(, _ P

K *F%!

% 1 5 %/

>0/ p/ B2 5 ω J % 50/ $ J

"

>0/ p/ B2 υ J

< +< 5 ! "#

]2 *]BE2 5 υ J 5υ T H

ω"

@

"

" G 9 0@- :

υ J

uWu2 "

" \@ / @E

S1 < @ @ (,

t< "

ˆ

S1 \@ : 2 1CJ X

(,

> @ @

υ

υ J

), $*+

$\

5. ! .

pZC % N-

+

&' ,


( )=

? −

ω

ω

( ) ω

( )= ( )

− 20 ˆ("

− ω − ω

 − ω −  ω −  − ω   −  −

( ) ( )=

=

> !

ω

ω

ω

  

? − −

=

− − ω −

− ω

ω ω

+ + >0 ˆ =

=

( ) ω

2 @ " \

= + =

[

(,

ω

]

+ +

ω=

>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> >

( )=

( )

@

"

a % B+ 5 %! "B!

()

M1

N-, pZC

=

()

4 "

4 * @

S1 * @

S1 &' >

> @

=B2

"B!

`

[ ] = δ [ ]−

[]

]@]+ "' 1

_

&

" "

&' ,

"I@B1 " " N-, pZC 81 (,

[ ] = 

   

(, =

"I@B1 ),

[]

δ [ − ]+ δ [ −

]

, L,


%4 5)< < %]@]+ "B! `

"

@

S1 (, ^OP

>

[ ] = ∗[ ] ( )=

−∞ =

= ∑ ∞

= "%

%

= −∞

( )=

[]

= ∑  =−∞ ∞

=

( )

[ ]( ∗ )−

( )

>

6%

=

[]

θ

<

$*+ \@1

2 &' ,

( ) pE+

{ [ ]} $\ ∗

5 %! "B!

2 @ ? " >

=

=

[ ] = ∗ [ ]"F *@' 5J + > ( )= ∗( ∗)

. !.

()

pZC `

( )= \

$ 0/

( )= "

\@1

9

4 (, 2 WC

)< 82 ?B9 4

"' 1

*

, ),

>

5

>

( )"

N-

 

{ [ ]} =

%2 %@ 0+ %- " "

− θ

,

[ ( )]

0 E%C "%I@B1

>

$\

[]

= ( ρ)

| B1 p@

[ ] = ∗ [ ] 5 [ ] %]@]+ "%' 1 [] * , >\ <T 2 0/

* % a %B >

%

N-, pZC 8@1

"WgE2 < (,

Š%N+ (, 0 E%C 0@%- : <

N- <

=

( )"

ZC

=

0/ Y < > ! 2

( )=

0 EC 0@- : \

+

>

=

=

( )

$ 0/

. !.

"' 1

*

L,

NX x2

N-

()

+

NX x2

ZC <

=

>0/ . ! ŠN+ (,


"B!

θ

=

Z ! ?@ #

( )5

%

"% 5 % @

= −∞

= ∑

()

= ‹%=

%

p%ZC BE

− θ

BE

ZC

( )"

 > ! "B!   - N- 2 <

()

()

6

\@1

5 !

2 (, 0 EC

    =      1 2

θ

S2 ‹=

[ ] "B!

*

ZC

_L

%4 "%

%@

S%1 T `% =

" <5

()

( )=

( )"

@

N-, pZC 5 ! "B!

S1 N-,

[− ]

= ∑ ∞

( )=

= −∞

ZC "

5J + ,

$*+

[]

^O "WgE2 (, 0 EC

1T

− θ

[ ] "B!

* %

>0/

( )=

25

> @4

()

%M1

=

4 " \@1

    5 ! "B!   =       ∗ 6 5 ! "B! =

[ ] = [− ] p%ZC

( )< [ ]

ZC

= −∞

[ ]=

%2 5 ! K I1

()

^O "WgE2 (, 0 EC 6

5 ! "B!

=

J<

"

S2 ‹=

N- ` ,

()

ZC

> ! "B!

. NB/ 4 " N-

=

>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> $ @ 0 ˆ OP_P

7R 0@- : L,

P

J<

)

- : ? &' ,

_O

LP_P

7R 0@- : ,

^P_P

7R 0@- : O,


% "%' 1

"@+ 1 < *

5 !

T

"@+ 1

[]

<

<T 0/ "

()

*

4 (,

( ) pE+

<

>0/ VWBR2 % - "%%

( )=

"%%

∑ ∞

= −∞

= ∑ ∞

= −∞

( )=

+∞

= −∞

= *@' %

]

∑ ∞

= −∞

[]

= −∞

− −

()

<89

() ()

8I !

< β 0/

8I ∝<

$ 0E

%@ U %9 <β

<

"' 1

*

&' ,

= −

3

X

( ) 5a 6RS2

4 0/ ? >

[ ]=

[]

>

"' 1

[]

] 

*

" ∝< 0/

  

  

=

  

< β 50/

<

<β

( )ƒ

>

" ∝<

<β ?

"W ?F 2

=

()

()

$*+

>0/

]

L,

[

= −∞

[]

"%%' 1

$\

= ∑ ∞

" 5

<89

= ∑

#

= % r3%+

% r3+

( )=

[ ]

=

* % %

[ ]= [

X

T

,

[ ]

% - "%%

$ 0E

[]

[

()

%!

X`

[] []

% >0%/

L,


( )=

[]

∑ ∞

= −∞

= ∑ [− ∞

= −∞

[]

= ∑ ∞

= ?

]

<β

( ) 50%%/

%

[ ] = ∗ [ ] "'

>   

*

O,

()

%#

∝<

% 50%%/

( )=

1 (

( )

= −∞

[ ] = [− ]"'

$ 0/

*

  

>

=

[]

<β

∝<

$ 0/

"%%

0E X ( < < β ∝ " \@1 2 5 &' , _, "WgE2

> 1

<β

∝<

?

>

"

∝<

<

)

, (,

@ U 9 L,

β *2 !

>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> >\

[ ]=

< %@

[ ]=

→∞

( )=

5 >

W

" "

"' 1

= −∞

= −∞

[]

[]

= [ ] + [−

"@'<

"B!

6 −

]

+ [−

]

+

]2 "@xC [P_P

[]

, WX . 1T 5

( ( ) − [ ])

= ∑

0 ˆ< @

[ ]=

5

7R

_^

i B2 "@xC &' , > @ 0 ˆ

5 <

[ ]= 5

" 4 @

S1 (,

$*+ >

@ U 9 &' ,


( )=

∑ ∞

= −∞

=∑ ∞

=

[ ]−

[]

= [ ] +

,→∞

→∞

[ ]= 5

5

<

@ U 9 (,

[]

( ( ) − [ ]) ,-

6

{[]

+ [−

]

+

?

+ [−

]

+

}= [ ]

>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> %

%

( )< [ ] =

5 <

% , 0%/

[]

%WX "B! ` >0/

@ U 9

< E2 T

__

B2

N$*+

,→∞

( ) = [ ] =

%2 %@ "% > %

B %9 "%

< =2 < N- @y %2 *%@2 N- @y < < =2

%@ "%

> %! %2 *@FS%

N- ( − " ) B 9 "

@ "

?@ A

< N%- c@% J % "%' 1 " \@1 p%ZC K % < r3+

− %]2 "% 0%/ p%WZ2 ?%

%

< %=2

"=N%-

( >

]2 " >

− ") <

"@'<

( )5

→∞

10 1

(

)

>

N- K

1 %@ ?% > 1 %! %2 r3+ 5a F2 >0/

%

B 9

N- <

2 &' , 0 EC | B1

]2 "@xC

&' ,

*@2 ?

()

N- < pZC c@

0 1

*2 X V/ 0 1

N%-

$\

(

− > ! < =2

5 4 * ZC

=

0 1 ?

ZC < >

10 1

− " ) *2 X V/ 0 1

B 9

J 2 "=N-

(

ZC

(,

(

− ="

) ZC

− ") B 9

J 2


;%

0@%- : ?%

% >\ % * % ?%! ' 1 0@- : kP_P

[ ] = [ ]∗ [ ] = "

@

( )=

S1 OPO , "' 2 ∑

= −∞

= −∞

. NB/ < P_dP

[ ]. ( )

+∞

+∞

[] [

K, "' 2 r

>0/ "

@

S1 P

( )∑ [ ]

( )=

+∞

J<

LP_P

\@

]

7R

_d

2 H< !

?! ' 1 P_dP

<

[

0@- : < &' ,

*

?B9 4

]* "I@B1

. . NB/

"

() ()

@

S1 (,

"I@B1 " "

" (,

[]

= −∞

+∞

= −∞

[] [

= −∞

[] { [

= ∑ ∞

= −∞

[]/( )

= ∑ ∞

= −∞

( )= { [

"

*

&' ,

. NB/

(,

[ ]  ∑ [

= ∑

),

$*+

[]

$ 0/

+∞ ∞ = ∑  ∑ = −∞   =−∞

( )=

T

>0/ m P , "' 2

/

&' ,

= −∞

( )=

( )=

K,

$\

]} =

− ] 

]

]}

( )

&' , 0 EC "I@B1

( )∑ [ ] ∞

= −∞

 

$\

_ L, 1 2 0N@! 0@- : 3

>0/

[]

*

( )"


$\

( )=

∑ ∞

= −∞

( )=

[ ]=

0! 1

2

[]

*

$0! 1

*F! "

(, 0 EC "I@B1

2

@ U 9

_k

"F " "

( ) = [ ] + [ ] − + ( ) = [ ] + [ ] − +

[ ]− [ ]−

+ +

\@

() ()

( )= ∑ [ ] *

),

() ()

( )=

-"

2& <

=

@ ?@@

[ ] < 5 [ ] 5 [ ]

> @ @

[ ]=

∑ ∞

= −∞

"%W +

pE%+

[ ] [

p %

"%W

[ ]5

"

% # `% 5

pE+

$?

S1

( )=

" 2

2 5

( ) pE+ p ! 2 ( ) pE+

[ ] = [ ] [ ] [ ] = [ ] [ ] [ ]+ [ ] [ ] [ ] = [ ] [ ] + [ ] [ ] + [ ] [ ]

"W

( ) ( )? >* =

!

@

pE+

0 &' ,

"W

#(

(,

"W

#(

),

$*+

( ) >0/

# ` 8@1 "% 2 %

≤ ≤*

]

<

+

% > %! !

p

( ) &' ,

#` 2 2

" 2 −

[ ] "F " " ( ) < 0/

pE+ (,

()


p % 5"%%' 1

"%%Z]1 ?@%%2 12 >\%% > S

()

()

[ ]=

[ ]=

=

()

= −∞

()

(

− +

()

3

(

"%%

% @ "%% −

()

3

02

3 (

"W −

3 (

()

02 − +

3 (

3 (

()

( ) pE+

(

02 − +

3 (

( $?

E 1

% ' "%% ), >0/

]

[ ] [

02

( ) pE+

-"

3 (

3 (

$0! ∑

3 (

[ ] [

2

(, 0 E%%C

. <

]

[ ] = "F

>

< <

25

*@'

>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> % h < %{WX 8@1 T < < \BE@/ 5. "=N-

h < {WX " 0/

9 \ @1 2 \BE@/ ` \BE@/ ;

N- <

BE@/ 9 \ @1 2 \BE@/ ZC *=2 <

Kq

_m @C > !

> @ ?@@ T l F 2 \BE@/ @ U 9 8@1 <

()

% ZC

()

N%- < BE%

@

( )*

M1

()

N%-

$*+ ;

()

'

<

ZC >0/

h \BE@/

( )* > !

+< .

<

T

ZC K

"%

%

%2

T

ZC K !

@

5 ! h<J

W C 0' + > BE

()

h<J BE@/ N-

\BE@/ `

i B2

()

( ) "F ZC

i B2

( ) "F

5" S2 #> !

2

+< .

Z > ! <


\ @% @2 % %9 \BE@/

N- <

ZC K

?

5 !

+< .

()

< > !

+< .

N-

<

>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> > t %

"%@+ 1 5. % \%/

@

M1

T N- % pZC

_[P

K *F! J B@I

1> @ @

WX BW@9 ?

BW@9

_[

()

&' ,

> @ ?@@ f0/

[ ] 5 [ ] = 

h \BE@/ 2

  \@! "B!  

> @ @

[]

]2 "#

]2 K

" <

=

4 ),

[]

" (,

$*+

,

+

( ) = ( )− ( )= −

+ ( )⇒ + ( )=

+ ( )= −

() ( )

()

$\

+

5

_[ *F!

8@1 <

+

&' ,

$

( ) = + ( )+ + ( ) ?


( )= ( )

()

+

+

$. :q <

( )=

( )= ()

+

> ! %

?% 5 %!

>

2

6

()

%+ < . % *2 %! > ! O

50/ J

B

"

BW@9 `

BE% 2

!

@ " > $

( )=

"%9 ZF

( )=

*

#

h \BE@/ "F

(,

< " 0/ ?F 2

-

6

5 !

-"

[ ]= (

4 ),

=

+

[ ]= [ ]

()

i B2

( )= "

@

( ) − [ ]

      S1 > @

$0/

M1

( ) "9 0! 1

$ 0/

ZF

% * -"

[ ]= [

2

+

) " }/ h

[ ] J @/ [ ]= [ ] "9

d +

]

$*+ ZF

*


( )= ∑ [ ] ∞

=

= = =

(

[ ] + [ ] − + [ ] − + [ ]+ [ ] − + [ ] − + { [ ] + [ ] − + [ ] − + [ ]− ( ) − [ ]

= ) pE%+

%

' @%/ "%9 ZF

}−

+

[ ]

* % >0/

[ ] "9

ZF

()

*

[

d $ @E

[

]

+ −

]

∑ = −∞ [ ] ( )= ∑ [ ] ∞

=

∑[

+

]

=

∑[

+

]

=

=

=

∑[] ∞

− +

=

=

∑[] ∞

=

=

+

(, ), $*+

]

"9 ZF

*

&'

=

[ ]= [

$0/

&' ,

+ [ ] +

− [ ]

( ) + [ ]

+

+ [ ] − −

[]

[]

[] [] −

+ +

[]

[]

+

[] $ 0/

[] [ ]= [

]

"9 ZF

*

(


( )= ∑ [ ] ∞

=

=

∑[

]

=

∑[

]

=

∞ =

∑[] ∞

=

=

+ [−

− −

∑[] ∞

=

=

( ) − [ ]

=

[ ]= ∑ [ ]= ∑ [ ( )= ∑ ∞

=

=

=

()+

( )+ ∑ ∞

=

]

]

− [ ]

+ [−

+ [− −

[]

[] −

]

]− −

+ [−

[]

[]

+ [−

]

] −

+ [−

+ [−

]

] $\

]

= −∞

+ [−

)

$?

∑ [− ] =

∑ ∑ [− ] ∞

− = = >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> φ

[ ]= ∑ [ ] [ +∞

+

= −∞

]

> ! 2&

> @

[]

-"

@

[ ] "'

1

*

BE

pE+

: "' 1

φ

dL

[ ]* $*+

φ

[ ]= ∑ [ ] [ ∞

= −∞

+

] = [ ]∗ [− ]

"

@ "


φ

( ) = ( ) { [− ]}

[]

φ

$\

* $\

( )

[− ] →

?! ' 1 0@- : *

. NB/

5J +

1 2 l F 2 0@- :

<

>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>

, 4( − +) = −

∑ ∞

1

+

/ VE

. NB/

dO

*

nFX

+<

=

&' ,

<

( ) = , 4(

(,

>

( )= ,

 4 − 

$ @ @

) −

; <

   $*+

. NB%/ % ?

) = −∑

, 4( −

[ ]= %/

% 50%/ ∞

=

[−

<

*2 ! *+ "

I1T

&'

1

1

/

= −∞

$?

]

. NB%/ % >0%/

2

$\

=−

( ( ) ) = −∑

, 4 −

e# 0/ "' 1 5 !

B%/ 0/ "' 1 5 !

( )

2

>

*2 ! *+ "

I1T

$\ <T 2 0/ 5 1

( 1

=

?


[ ]= −

[

]

>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> ;

`

*

nFX 5 *

p/ 2 v :

( ) = , 4(

( )= ,

[ ]= −

$\

[ ]= [ ]

$\

[ ] =  [ ]=

   

     

[−

5 *

=−

<

<

  

&' ,

>

<

( ) \@

-"

n1 N 0@- :

. NB/

(, $*+ U 9

-?

=− −

*+ 1 2, !

[−

d^

$J + &'

( )= ()

 4 − 

)

@ ]BE2 > @ @

$ !&

()

( )= −

()

. NB/ <

<

2

*2 !

()

*+ "F " "

J+

] − ]=

> !

∑ [− −

2

dO

? −

] "'…E2

&' , 0 EC

. 2T 0/ ( $0 EC ?

" S2 " (


( )= − $\

[

( )= j

()

] = −    

[ ]= −

*+ 1 2, !

[

     

[

>

2

]

()

*+ "F " "

$?

− ]=

( ) *2 !

[

> !

2

]

dO "'…E2

(, 0 EC

. 2T 0/ (

" S2 "

>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>

()

()

4 l hq *

\BE%@/ `%

!

h < WX

>\@

()

( ω)

ω

BW@9

>0/ \2

4 >

h < WX 6RS2 x >L

K< 0@- : "WgE2 ?

− + " >\@

>

\ 2 0@- : < 0! 1 ? >0/

\BE@/ ` l hq *

2 S1 34 K

d_

@ U 9 &' ,

( ω) =

( )=

B! 1 Z: < *

( )

> ! 2 ŠN+

( )=

?B9 $

( )5

* %

4 *

()

=

+

+< .

2

@

( ) 5.

) :, N- ` <

S1 >0/ 0 u2 < ]@]+ J X

+< .

()"

*: , pZC `

X

Z: < *

( )"

T

"

J + (,

@

S1


( )= ω

>

− + − + +

( )=

=

> !

=

2

( (

+ −

∝+ − − +

) )

$\

    

( )= ( ( ( )= ( (

− )+ + )+

− )+ + )+

( ( ( = (

( )=

( ( − ( − ( −

)+ )+ ( )+ (

− +

( )= ( ω

=

$

) ) ) )

+ −

− )+ +

=

N- < !

+ −

( − ω (

− ω

+ −

ω− ω−

+

( (

− +

()

) )

.

< -"

@

S1 ), $*+

. NB/

ZC

2 0 u2 < ]@]+

E 1

X

&'

( )? "

I1T

( ) pZC 5? () 2

),

?

ω )( + ω )( −

ω( +

) ) $0! 1

) + ( ( + + ω( − ) + ( ( − ) + ( + ) + ( + )( ( + ) + ( − ) + ( + )( −

) )

) )

"

5. ! .

+ ≥ − C + < . ) : t N- < + <

> @4 2

()

. 2T 0/ "

$\

− ≤ +

ω

),

 + −   +  + 

− −

\

)( + )( − ) − ) +

2 8@1 − −

) )

ω ω

-"

ω +( +

ω +( −

=

G 9 "Z

) )

ω ω


"%

1 %2

?%

"BEE4 BW@9 ?B: /

K

> %! " S%2 34?@ h BW@9 `

K< " 2 Œ<

H 1

E1

* C "WgE2 9 }/ h .

( ) \BE@/ ;

BW@9

. ! 9 2 Z:< *

1

5\@

T E1

9 }/ h .

2 S1 J u2 `

dd

1 "

" S ? "WgE2 >\@ 84 2 @ U 9 &' ,

( )=

()

( ) =  

ω

( )=

=

5$

+

ω  

>

@

S1

\

(

)(

+ π + % "% ω 7 89

%F

"

(∞ ) =

− π

)

( ω)

< 50/ ω =

% %2 T 0/ " (,

( ) =

5

()"

"

@

S1 >0/

&61 n1

9

,

Z: < *

J X

> @

> ! 2\

( )< ω

@

> 1 +< . F >0/

( )

*: < "

"

() ()

WX T

4 "

>

ω

ω

27 @

2

pZC <

( ) 5π " ( )

i B2 BW@9 < 5

=

(,

S1 ), p' Z2

( )>

( )=

>L

ω 7 89

>O

&61 n1

9 >^ $*+

( )=

 −   +

− −

  

$0/ . ! .

&' ,

?


 −   +

( )= ω

( ) =

(

(∞ ) =

)(

π

− ω − ω

( ω) = = =

ω

− ω

+

ω

− ω

 +  

(

π

)

− π

( )=

)

. NB/

(,

= $J +

( ω+

)( ω +

π

  − ω + 

π     

( −ω )

+ ω

)

− π

ω+

  

(π )ω >

( )=

  =  5$ ω        ( $\ 5. ! .

)=

− π

, - + →∞ 

   

  = 

 −   +

− −

27

( ω)

ω 7 89

" 0/ Y <

$0/ . ! .

  

, ),

?

 −   +

− −

+

π

 −   +

− −

+

− π

$

   E 1

2

-"

X?


( )= =

>

(+ (

− + −

(

ω

)

)<

5$

 − 

(

ω

+ −

π π

)(− )

π

C +< .

)=

%F

ω

π

− 5$

(ω )+

+ 5$

(ω )

=

= ⇒

− π

()

S1

?

2 4 /"

j &' , 0 EC "I@B1

L,

$\

( )

O,

5$ ω

%- "% ∞ % 27

( ) 5π

5$ ω

"

5

%

F Z

ω    5$   

ω =π

  

− π

p%ZC < a %]@C

$ / 2 . <T

=

+ −

< pZC < ? "

$?

5$

  − 

$\

>

( )

) = ( ) = ω

%2 7 8%9

) 

=− +

( − 5$ (ω ))

=

%

− π

( 5$

( )=

%

− π

− π

> 1 @4 2

( )= (

?

)( +

π

(+ )

( ) ω

-"

ω

( )

ω 7 8%9

% \@1 n1

=

\@1

2 9

9 ^,


Turn static files into dynamic content formats.

Create a flipbook
Issuu converts static files into: digital portfolios, online yearbooks, online catalogs, digital photo albums and more. Sign up and create your flipbook.