2hc

me

! 2h

me

" 2h

ce

# 2

2mc

he

$ A

%% & B

'

B A

(

!

2A 1

2

" A

# B A

!" #" $ % & '()*&+,-

2hc

me

! 2h

me

" 2h

ce

# 2

2mc

he

.& . A

"/%% 0(

"1. B

,,23.!

B A ,-

#4

!

2A 1

2

" A

# B A

$ )* *++ ' , &

& ' &

2m

L nrv

! 2m

L 2nrv

" 2m

2(L nr)v

# )

$ -& & ', ((

! 31

r2

" 34

r3

# 35

r6

1 & '& 52$ 6/7 " ..89*&/:",2$6/7" " ! ,23 ; *&/ +(." & ,23 1 *&/ $ % 1 )* . ' ; 9=": " 2. * ,9.?&";!,2:-

2m

L nrv

! 2m

L 2nrv

" 2m

2(L nr)v

# #4

.& *- "8% 1 8+

$ $. *

b

a Lx

&

$' /0

7

L12 $

! !

" !

# "!

$ ! ) ('1' , ('2'

!

2'1#

! '3!

" #'#

# !('1

*)* 1. & 6/7$. "2>

0; ba Lx

,2% $, 6/7

."$.$,23.6/7

4 6 / 7 . " $ . 7

L12 # " & " , 2 %

*&' .*= , -

! !

" !

# "!

! 1 8% .& ' 52$$ " ! ,2 ('1+

4 & 5 6 7

!

"

#

$&13( "(3# 8(( ' , ',&

13

! 3!

" "8

# !1

)>.2.>9D:%6+

.& *&" "> 1 0;9K BK : ;9/ ,23 ,*&"B ' . ?" ,23 *&" 1L, M " "> "% I. "> & .*.B".*.&'&"*&'4"/: , ,23 1 N& (."% .! ., O" 5+D BK

! 4 " 8 % (Q /A)

S 1

h g

" ?" " ',% %

(Q /A)

.,& P , -

S

h

! S 1

h g

" S

h

# S 1

h g

.&.&BK9,&":O"1." " BK "% 1 + "> $ (/ . ((/ * Q 7 ( .,23.-KH4"" 33 2" ,23 + & KBK 8 $ & K BK 9/ ,(1% . (." K&BK,- 3"( 9

! 3#( 9

" 33( 9

# 31( 9

$ 9 : ;9/ ',' ,

(Q /A)

&

S 1 and

h g

&/

& '

(Q /A)

S

h

! S 1

h g

" S

h

# S 1

h g

$ ( & (/((/33 '

=;> & !?

!3

! #(

" 8!3

# 23(

$& '$

#3;'33;

1

330

ln

! 1

315

ln

" !

# 12

B$ .?$ I .% 5 "%1( & K BK;> ( , % 9 1 ( " 8 (? " !? !3

! #(

" 8!3

# 23(

.& & B$ "8 5 , ",& ,23 .& 58 .& B$#3;,23 3 #" " ' .&B$3;,$&,2%.!",29:-

1

330

ln

! 1

315

ln

" !

# 12

$ & ' &

& %& ' &&& & & $ . & '

,&

$& 0s( )

fv v

! $& 0s( )

fv v

" .& 0s( )

fv v

# .& 0s( )

fv v

R 1 S .@A & " I;.$9I;J:,&,23,S.&T&"1 '. ' ", ,2 %$, ( R & ' ,2:3 T' . S &"'%".%TO".(&@A.,&'"89":)D$. . 1 D 3

% . '"8 9": .,&,2-

D$8 0s( )

fv v

.

! D$8 0s( )

fv v

.

" D.8 0s( )

fv v

.

# D.8 0s( )

fv v

.

$&*!(

@'& & & A BCAC(/&

: D

E @ &

3((

&

(5'/&&&:&

3/

! !(/

" 3/

# )

& && & #

F. &$G&

"5

! #5

" 35

# 15

, "> '" .="+ 1 9+:1(5&*2"&.$(/7,(,23!':*""I..,,-

3/.! !(/." 3/.# #4

"$%?($F."=#.=",,&,",&,2%$G*4(*&'?4",-

"5

! #5

" 35

# 15

,6 &

55 9 ! 55 9 " 55 9 # 55 9

, /&U.&U P+"% "=6 , -

55 9 ! 55 9 " 55 9 # 55 9

)*% .&=% .4" " *&' & #"&,23.=",,",&,29$.$ $ . ,2: " *&'V8,"*&'*H-L=;M*&'V8,"*-W8; $ % (8D "H- ?" , 2 . D C& 9.,&: ,2F

!

"

#

,&&I

'H-&

&& H&

& H& & & H-

&

!

"

#

=",& 1 "% A *4( " *= ,22"..'()*&5+."8$O",22".@KC)*,2 6 + ,2 I. IA" =(% IA" & " ,23 . "8'()* R*4( . #' >&'&."">"%I.&*4(,,2%$&'()* . #"&"(,23 % '()* '()*&0#8$ , ? -

,2% 70 104

:+.@X&

'()*& 5+ 52$ 0"'1(,'

8'?

! #'8

" 8'#

# #'1

$& &

A 6 . & &' &

!&

&

.6

! 0

IBRsin

" 0

IBR2sin

# 0

0

IBRsin

$ &'

, */6"%N(="%"P.&9:",&,23"$(/7.="+/ . 1 " .="+/$/7.% . " (8 91: ,$ ,23 % .="+/ ,& $/7 ,-

/ . T 8 & 2 " I . , 2

21 LC

L

'

! / . T 8 & 2 " I . ,

2C

( LC 1) '

" /.."9:2"I.

, 2C

( LC 1) '

# / . ." 2" I. ,2

21 LC

L

'

"& ,( . N('()*&"%).$2..$

- E

B

5+&.,&,2F

( ) 2i j ( )2 i j ! ( ) 2 3i j ( ) 3 2i j " ( )2 3i j ( ) 2i j # ( )3 4i j ( )4 3i j

- */6 & '$

/&

I&/ & ',/

&/2

21 LC

L

'

! &/

2C

( LC 1) '

" &/

2C

( LC 1) '

# &/2

21 LC

L

'

- && &

E

B

7

( ) 2i j ( )2 i j ! ( ) 2 3i j ( ) 3 2i j " ( )2 3i j ( ) 2i j # ( )3 4i j ( )4 3i j

1 IA . % "> (.".& . 8 B" "> ,23 . &D.#"&H,23..$..&!(H#"& " "> .% I. *)* .$ .a3

#"& " * ,23 %H ,2 -

! !

" "

# 3

f2

.& OY"& % ( &"20 Y" 9!: *&' & #"& & Y " . # " & G , 2 3$, %G++++3% D$ '2/7,2 %=&*4(.%"I*4("&%$, &%=.=&,$&,2%,&-

2

! 4

" 3

# 6

$H&'4 I H @

a3

',H

! !

" "

# 3

f2

L&&GG++++'-&&

2

! 4

" 3

# 6

&=(% 'G9(:& ., 9@KC: "% *#!" 8 "% ,,23 . ! )> . 2. .,& 9.;: ,2F "%=(,2"I.&

&9!,&3! "#8H.=(,2"I.&

&9!. ,&3" "#8-=(,2"I.&

&9!. ,&3# "#8-=(,2"I.&

&9!,&3

# !" "% .& . .*Z *[&"20,&- 4# B$ !" " & *[&

"20.(3! 4# B$ !" " & *[&

"20 & '" (3" 4# B$ !" " & *[&

"20 & =&3# 4# B$ !" " & *[&

"20 & 9#'

24Na "/1 ? 9= (3 0 : O " ?'3 0 I ; . $ 8 &.\

">!5&1*2"&$.*&'$(/7&,23 ,& *2"& =; $.#."&=;..$(/7,% *2"& O" A N( =" -,-

('!$ ('$! ('#$ ('!$" ('$ ('!$# ('!$ ('#$

.&"=."*&'$/91U.&U:P$.,2- 4&" 9?&: O"! ' (/& ="& 92P&": O"" ''()* 2P&" O"# " P&" O"

$!5

$. & ' , &

$ &

.&

('!$('$

! ('#$('!$

" ('$('!$

# ('!$('#$

,$/

!

"

# &

!!" #"!$ %

#$ &

#$

#$ '

#$

( " !) "!*

#$ + !! +!!

#$ + !! !!

#$ !! +!!

#$ !! !!

!! , "! -

! ! 32 -, ,

!+" + !!%

#$ , !!./) ., ! !

#$ , !!., !!./)

#$ /) ., !!., !!

#$ /) ., !!., ! !

0 ) &1 2 , ! ! #)$ % #

$

#$

#$ '

#$ '

#$

# !"$ #$ &

#$

#$ '

#$

# !$!!$%&

'$()#$ *'*#$ *'+,#$ +,'*#$ +,'+,

, !( ( (! - .-$32-,'/0( 12$!(

#$ (3/.453/.(6738/#$ (3/.(6738/.453/#$ 453/.(6738/.(9:38/#$ 453/.(9:38/.(6738/

('%'6$&1+!;%2:$2?#

$

#$

#$ '

#$ '

#$

3! 4)!#$#$5 -67 ! "! !+! #8$ !"!

#8$!23 %

#$ 8-67 98-67

#$ 8-6798&-67

#$ 8-67 98-67

#$ 8&-6798-67

2! !

): !: !)%

#$

#$

#$ ! :

#$

; !

, ! !! +!

!!+ %

#$ 4)!

#$ ! !

#$ 4)! !+!!

#$ ! ! !

! '/ ! 24MnO Mn

/!&/!!!

'/!

5!

;;:% RT 0.059 VF

#$ !

#$ !

#$ !

#$

6! !*@ # #$ #$5-67 #8$& (#8$!.-$23'

#$ 8-67 98-67

#$ 8-6798&-67

#$ 8-67 98-67

#$ 8&-6798-67

#!3*'A-(!--!!#$ -#$ ! #$ (#$ ! &

@ % ' B '5$-!#$ !*@6$(#$ (#938/(23(#$ !*@ !(#$ ( C-.-$'DE(

=>& 24MnO Mn

'/ /!!&/ '/ 5

4MnO +& )

RT 0.059 V

F #$ !

#$ !

#$ !

#$ F

! 4 ! !"

-?@?@

!- ) )+ + !*

#$ "

#$

#$ )

#$ 4!

A!)

+ +!+! 4 + !

! *

#$

#$ 5#5$ 3OSOB

#$

#$

!! ! !

!C)+%

#$ C#$ CD#$ C#ED$#$ CFD

!%

#$

#$ !

#$ !

#$ G

!(-?@?@

(!@G#(! ( 7 )#$ %-# #$ ! #$ -# #$ & -#

@14HI!-(!'!(!!'# )

#$

#$ 5#5$ 3OSOB

#$

#$

( !! ! *

#$ !

#$ D!

#$ ,

#$ BH)

( -! " )+

" ! *

#$ 0#$ #$ E!#$

( +

FF)*

#$ 5FD#$ 5FD#$ 5FD

#$ #5FD$

!+!

!!%

#$ 5

#$ 5D 5D#$ 55D

#$ 55D

( + *

#$ 24CrO! !

#$ 272Cr O !D!)

#$ B!D !! ! "!

#$ B!D ) >!D

B66B8-!$1! )#$ $( !#$ %( !#$ @( !#$ J( !

*G>(4%6B!!@@!!-)#$ 0#$ #$ E!#$

# # !FF'%!)#$ 5FD#$ 5FD#$ 5FD

#$ #5FD$

7(-K!&L G'#$ 5#$ 5D5D#$ 55D#$ 55D

*!&)

#$ 24CrO&H5(

#$ 272Cr O#!D!'%

#$ ( M B!D#

#$ B!D( >!D!

-'!5-(2 '+! 7 '(! DE( 6!!!( )#$ ?@

#$ ?@

#$ ?@

#$ ?#5D$@

*G!!!(>6738/!N!)#$ ?3@

#$ ?#B5$@

#$ ?0#B$@

#$ ?33@

5/@537+$!-#$ (

( + !

!!*

#$ 55555D

#$

#$

#$

, )!!!!!5%

#$

#$

#$ '

#$

*G ! 1! 0 !:!()#$ 55555D

#$

#$

#$

5(!&

( K!!;! +!*

( !25!

#$

#$

#$

#$

!4

OH32 CH CHO A B

9

!%

#$ 5555D5

#$ 5555D

#$

#$ 5555

*GG+

(

; ) ; +*

#$

#$

#$

#$

( + !!!! !!*

#$

#$

#$

#$

*G!1! !$%;%2:$$)

#$

#$

#$

#$

'((!&*G!&!1!()

#$

#$

#$

#$

-@(5@N!! !&)#$ 0:A-#$ 0A-#$ IH73*#$ N*

!4F%7()#$ #@3$#$ !(#$ !:!#$ #3

# '( (-!%(!$%!)#$

#$ 3

#$ G

#$

HH

+ +

!!

"!;!*

#$

!"#

!$" $% !&" $' !(" $& !%" $%

) *

5

5Im

(Im )

z

z

!$" $

!&" &

!(" %

!%" +

) #!$"!$"!$"!$",

-.

!$"1

, 02

!&" !&"!&"

!("1 1

, 0 0, 2 2

!%"1

0, 2

)(( +/+#

!$"15

!&" +

!(" $

!%"1

25

!"#$!%$!"!!$" $% !&" $' !(" $& !%" $%

& '( ! 5

5Im

(Im )

z

z)*

!$" $

!&" &

!(" %

!%" +

+$,!$"!$"!$"!$",*&!-.*

!$"1

, 02

!&" !&"!&"

!("1 1

, 0 0, 2 2

!%"1

0, 2

((-*+/+!.+$.+$

!$"15

!&" +

!(" $

!%"1

25

)

2

2

2

1 2

a 122 3 1 3 3 3

2 3 2 1 2 1

x x x x

xx x x x

x x x x

-.#

!$" $&

!&" &%

!(" $&

!%" &%

) +%

!$" $,

!&" $&

!(" 0

!%" '

85 21 11 3 2 x x

x x !$" %,,

!&" %0'

!(" %,,

!%" %0'

(%

12',$,,,)123

!$" 3&0,

!&" (&,

!(" '%,

!%" &%(,

2

2

2

1 2

a 122 3 1 3 3 3

2 3 2 1 2 1

x x x x

xx x x x

x x x x

!-..+$.+$!$" $&

!&" &%

!(" $&

!%" &%

.,/ +%!. !$" $,

!&" $&

!(" 0

!%" '

8

5 21 11 3 2 x xx x

01 1+$&21!$" %,,

!&" %0'

!(" %,,

!%" %0'

3,4+$(56!12"+$71

3',8113,$,,,983,4+$(5611:;!81!$" 3&0,

!&" (&,

!(" '%,

!%" &%(,

)5

n 1

1 k n(n 1)(n 2)(n 3) 3

4

#

!$" 55336

!&"17105

!("16

!%" 19112

4 *5 )

2(e 1), 0

( ) sin log 1 k 4

12 , 0

xx

x xf x

x

4

!$" $

!&" &

!(" (

!%" %

#

sin sin 3

y x y

,

!$" 2 3 0x y

!&" 2 3 0y x

!(" 2 3 0y x

!%" 2 3 0x y

5

n 1

1 k n(n 1)(n 2)(n 3) 3

! 4

.+$.+$

!$" 55336

!&"17105

!("16

!%" 19112

4 *)+$ & 9

2(e 1), 0

( ) sin log 1 k 4

12 , 0

xx

x xf x

x

!4!$" $

!&" &

!(" (

!%" %

, 1+ $ sin sin 3

y x y

.+$,

!$" 2 3 0x y

!&" 2 3 0y x

!(" 2 3 0y x

!%" 2 3 0x y

4 6

0.6

0.6(1 )

( ) 1

xf x

x

7, $8

!46"#

!$" !$ &"

!&" !& &"

!(" !& $"

!%" !& $"

9'%

%:;!"(&;

!$" $,,

!&" ::

!(" $&:

!%" $$&

)( ) ( )2 2

2

t 1 tlog 1 dt g (t) C

21 t

! ! !&" !&" !%"

!%"+$2

0

( ) d 5f x x !50

10

( ) df x x!$" :,

!&" $,,

!(" $&+

!%" &,,

!$$"9

sin

0

3(t) dt

2

xf x ! 32f .+$.+$

!$"3

2

!&" 3

!("32

!%"12

!"+$,!&", 9

!$"$!!$".+$.+$!$" %

!&" (

!(" &

!%" $

!&" !&" !%" !%"

2

0

( ) d 5f x x

50

10

( ) df x x !$" :,

!&" $,,

!(" $&+

!%" &,,

!$ $"

)sin

0

3(t) dt

2

xf x

32

f #

!$"3

2

!&" 3

!("32

!%"12

#!&", !")!$"$!$"#

!$" %

!&" (

!(" &

!%" $

!(&" ',

3 1x y ) * #

!$" 3 2 3 3 0y x

!&" 3 2 3 3 0y x

!(" 3 3 2 3 0y x

!%" 3 3 2 3 0y x

)#!$ $" # (%(, #

!$" &&&,

!&" &&$%,

!(" &&&,

!%" &&3,

) !$ ," * !, &" *

!$"32

!&"52

!(" (

!%" +

.!(&"+$+$+$@+$@ 3 1x y ',,.9 *I =$ ! +$,

!$" 3 2 3 3 0y x

!&" 3 2 3 3 0y x

!(" 3 3 2 3 0y x

!%" 3 3 2 3 0y x

.2!$$"8+$,(%(,!821+$J4+$,!$" &&&,

!&" &&$%,

!(" &&&,

!%" &&3,

. !$ ," +$ J4*I!,&"1+$&1D+$!*IJ4.8D

!$"32

!&"52

!(" (

!%" +

)

!$"12

!&"2 2 1

2

!(" 2 1

!%"2 1

2

2= % 2 # )>2= &$>

!$" 0%

!&" 0%

!(" (&

!%" (&

*

&(,&(%%

!$" $

!&" &

!(" (

!%" %

!(&,"

2 1 3 1 5 4

yx z

!$" !,( $"

!&" !, 3 $,"

!(" !, 3$,"

!%" !, ( $"

KDJ4 .7 *+$! 8. .8D : ! KDJ4 B;

!$"12

!&"2 2 1

2

!(" 2 1

!%"2 1

2

2=1+$ % 0=$!"!.207/9>2=&$1.=$!>.1!$" 0%

!&" 0%

!(" (&

!%" (&

+$@ &(,&(%%*I.7)**+$!$" $

!&" &

!(" (

!%" %

1+$ . !( & ," +$@ 2 1 3

1 5 4

yx z &!1+$'.

&!$" !,( $"

!&" !, 3 $,"

!(" !, 3$,"

!%" !, ( $"

)

)3

cos cos 2

1

sin sin 2

&

!$"35

!&"45

!("75

!%"85

$, # AA) -. A -. B

!$" h sin a cos9 sin

!&" h cos a sin9 cos

!(" h cos a sin9 sin

!%" h sin a cos9 cos

3cos cos 2

1sin sin

2 ! +$

C!&&.+$.+$

!$"35

!&"45

!("75

!%"85

+$ +$@1+$*+$ 1+$@L6$,BCD:+$ @ 8 +$ +$@ .A1+$B,.!.@A+$&9..L6@>?78D-..#$=$@1A

*+$-.3@.7*+$

!$" h sin a cos9 sin

!&" h cos a sin9 cos

!(" h cos a sin9 sin

!%" h sin a cos9 cos

C

C C#

!$" D=2>

!&" D=2>

!(" D=2>

!%" D=2>

*,*

'1+$7+$219=+$9>8D+$9MM1.8D+$+$NNF:'1+$-O!$" D=2>

!&" D=2>

!(" D=2>

!%" D=2>

*,*