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19 j12 J 320

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(()-tr- 1)l - (r1- )f



~JO) - e0tJ - (~- ) (n) ~

(kit) -

o ~ l-lb




lJ 0 Q 1 1

fJill lLf~Cl

lio l (~J )


- PDf (0 7utJ

Jc~UlVo bull

1 )

1 iTf

rt)middot$ bull


ltlot 1 -t ()(z + t ~- i

G bull (0 ~ )+ 01 2~ + 0 t (n1l1

- omiddot qo + ( 1 r ~ t + (-J))

~ middotn ( n- i) 2

s

J] ~ i ~ 00 middot


A

0

(~) -) 1w vJ I JO l

~11 V () C ( )

I

1 5151 2

cJ (4) 1 ( 5) 2 ri- + 1 z 2 2 f ~


00

~ 7 f 2 0 01 Z m 11 )

K Al2

_p A(z) - _ 1_o fl =i 1 Z

( ~)


1 -~2 f - z amp-2)t 1-5 1z

- q 0 - 0 0 1=-CJ 2 i a~ r bull

~ - 1u 1gt =amp0

2 zmiddot

J

~ -1 7 11 B- )btv t ~Ol

1v

2+1 1fQ~~~ 3 A(z)=z_z+2 I Qn



31 - - A-Ishy ~ G - 1) oz- 2 Z-J

~

bull I

- -zbull

~ g(~-L)




bull-



--


Z-2[ A(z) ~ i -22) -2

z-1(

II (z) -1) -gt ~ (io) 0 1=)


bullbull


(11Z ~)






LI ~

J~7 [97 ---) j YJ

t 1 J ~ t1D Q I

1q ~dJ


A(z~ ~ -4qo ~ ~~ -i(y =


B+ shy

bullbull

1- 1 10

1 ~ -- - 1- _ 1

-~ t

-1 1-~z

aot 1

LIe 0 A (z)= -shy1-10z 3 n

qn = (~o1l) 1011 shy

1


lufJ t (J v Av L


~= A ~ =3 ~(2Y-l )al1t1 =-20 l


UiJ 71-] W U ~ n ~ 71 lIo i Y4fr 14 ~

~ C(I () Z (~)

-

r~o

r

omiddot 0 ~ oj 0

~

lt- Of-dlaquo -


C ~tl) ~ c (~-41) = t~-4~ (1 +) i () I

DMath Notes Part1


bull Ql1Y~

bull

0

)

rshy

~q

1shy0 () 1-1 1

0 1 0

1 1shy

p ~gtq I

0

~

I

1

o

JA x61= fAl-Il)


A~middotr 1Jrca-10~


U Un-i~)~o~__

tmiddot bull bull

bull 1

~~ ~


4 ~ I ol4rlt~ 10 ~

~ -=+1 __ -~ =shy 9~Q 0 0

3 1 bull



o





~



~ ~ C( ~~ 2~1

f ~ ~----- ~

(~~

l tv UJ 4 ~

4tlo1Q Ill (

~

1 d bull

81 5middot 3



G 4 -1shy

~----- 91 ftc

~ 0 -lIshy

t -shy

1 2zl __--shy

bullbull f


~J t J 1lt10 ) 10~ ~ J

10 ~ I




-shy

I bull

~

a 0

~=

I bull

bull 1 bull I

((1)= 6 IIbull n- 1 r

~ ~~-- - I

C (7 - rmiddotL ~

4 3 J

t o

middotmiddott

r~ 5 1 middot ( 5

- ~ ~ 1 1_ t 0






b ~



-

I



bull IJ t bull

bull t

bull I bullbull

---shy - ---

bull

z1 o~

4 ~r ~ -i to 10 for jW j t~ (

C lf OJ 2) ( 0 1-12-1 ~ Q ~ ~ ~

_ 1JL1-1- S lt 2

t



r


bull bull I 1 bull


(r4 traquo)

C ) f

en( ~ ~-r)l r

0

~


JQarro~ t1 ~ ~ fc_

piJL 12 66A0 ~ I

l $J1o



(i) ~l~itJo~4t

VOfJi

~I()

-( 1 ~~ t obtl


- --

~) (0 t 1oe)~) ( 411p C (~OJ 5)


)ilvv4 -q

19 j12 J 320

~~ I middot ~~I ~ ~~J ~ ~~

(()-tr- 1)l - (r1- )f



~JO) - e0tJ - (~- ) (n) ~

(kit) -

o ~ l-lb




lJ 0 Q 1 1

fJill lLf~Cl

lio l (~J )


- PDf (0 7utJ

Jc~UlVo bull

1 )

1 iTf

rt)middot$ bull


ltlot 1 -t ()(z + t ~- i

G bull (0 ~ )+ 01 2~ + 0 t (n1l1

- omiddot qo + ( 1 r ~ t + (-J))

~ middotn ( n- i) 2

s

J] ~ i ~ 00 middot


A

0

(~) -) 1w vJ I JO l

~11 V () C ( )

I

1 5151 2

cJ (4) 1 ( 5) 2 ri- + 1 z 2 2 f ~


00

~ 7 f 2 0 01 Z m 11 )

K Al2

_p A(z) - _ 1_o fl =i 1 Z

( ~)


1 -~2 f - z amp-2)t 1-5 1z

- q 0 - 0 0 1=-CJ 2 i a~ r bull

~ - 1u 1gt =amp0

2 zmiddot

J

~ -1 7 11 B- )btv t ~Ol

1v

2+1 1fQ~~~ 3 A(z)=z_z+2 I Qn



31 - - A-Ishy ~ G - 1) oz- 2 Z-J

~

bull I

- -zbull

~ g(~-L)




bull-



--


Z-2[ A(z) ~ i -22) -2

z-1(

II (z) -1) -gt ~ (io) 0 1=)


bullbull


(11Z ~)






LI ~

J~7 [97 ---) j YJ

t 1 J ~ t1D Q I

1q ~dJ


A(z~ ~ -4qo ~ ~~ -i(y =


B+ shy

bullbull

1- 1 10

1 ~ -- - 1- _ 1

-~ t

-1 1-~z

aot 1

LIe 0 A (z)= -shy1-10z 3 n

qn = (~o1l) 1011 shy

1


lufJ t (J v Av L


~= A ~ =3 ~(2Y-l )al1t1 =-20 l


UiJ 71-] W U ~ n ~ 71 lIo i Y4fr 14 ~

~ C(I () Z (~)

-

r~o

r

omiddot 0 ~ oj 0

~

lt- Of-dlaquo -


C ~tl) ~ c (~-41) = t~-4~ (1 +) i () I

DMath Notes Part1


0

)

rshy

~q

1shy0 () 1-1 1

0 1 0

1 1shy

p ~gtq I

0

~

I

1

o

JA x61= fAl-Il)


A~middotr 1Jrca-10~


U Un-i~)~o~__

tmiddot bull bull

bull 1

~~ ~


4 ~ I ol4rlt~ 10 ~

~ -=+1 __ -~ =shy 9~Q 0 0

3 1 bull



o





~



~ ~ C( ~~ 2~1

f ~ ~----- ~

(~~

l tv UJ 4 ~

4tlo1Q Ill (

~

1 d bull

81 5middot 3



G 4 -1shy

~----- 91 ftc

~ 0 -lIshy

t -shy

1 2zl __--shy

bullbull f


~J t J 1lt10 ) 10~ ~ J

10 ~ I




-shy

I bull

~

a 0

~=

I bull

bull 1 bull I

((1)= 6 IIbull n- 1 r

~ ~~-- - I

C (7 - rmiddotL ~

4 3 J

t o

middotmiddott

r~ 5 1 middot ( 5

- ~ ~ 1 1_ t 0






b ~



-

I



bull IJ t bull

bull t

bull I bullbull

---shy - ---

bull

z1 o~

4 ~r ~ -i to 10 for jW j t~ (

C lf OJ 2) ( 0 1-12-1 ~ Q ~ ~ ~

_ 1JL1-1- S lt 2

t



r


bull bull I 1 bull


(r4 traquo)

C ) f

en( ~ ~-r)l r

0

~


JQarro~ t1 ~ ~ fc_

piJL 12 66A0 ~ I

l $J1o



(i) ~l~itJo~4t

VOfJi

~I()

-( 1 ~~ t obtl


- --

~) (0 t 1oe)~) ( 411p C (~OJ 5)


)ilvv4 -q

19 j12 J 320

~~ I middot ~~I ~ ~~J ~ ~~

(()-tr- 1)l - (r1- )f



~JO) - e0tJ - (~- ) (n) ~

(kit) -

o ~ l-lb




lJ 0 Q 1 1

fJill lLf~Cl

lio l (~J )


- PDf (0 7utJ

Jc~UlVo bull

1 )

1 iTf

rt)middot$ bull


ltlot 1 -t ()(z + t ~- i

G bull (0 ~ )+ 01 2~ + 0 t (n1l1

- omiddot qo + ( 1 r ~ t + (-J))

~ middotn ( n- i) 2

s

J] ~ i ~ 00 middot


A

0

(~) -) 1w vJ I JO l

~11 V () C ( )

I

1 5151 2

cJ (4) 1 ( 5) 2 ri- + 1 z 2 2 f ~


00

~ 7 f 2 0 01 Z m 11 )

K Al2

_p A(z) - _ 1_o fl =i 1 Z

( ~)


1 -~2 f - z amp-2)t 1-5 1z

- q 0 - 0 0 1=-CJ 2 i a~ r bull

~ - 1u 1gt =amp0

2 zmiddot

J

~ -1 7 11 B- )btv t ~Ol

1v

2+1 1fQ~~~ 3 A(z)=z_z+2 I Qn



31 - - A-Ishy ~ G - 1) oz- 2 Z-J

~

bull I

- -zbull

~ g(~-L)




bull-



--


Z-2[ A(z) ~ i -22) -2

z-1(

II (z) -1) -gt ~ (io) 0 1=)


bullbull


(11Z ~)






LI ~

J~7 [97 ---) j YJ

t 1 J ~ t1D Q I

1q ~dJ


A(z~ ~ -4qo ~ ~~ -i(y =


B+ shy

bullbull

1- 1 10

1 ~ -- - 1- _ 1

-~ t

-1 1-~z

aot 1

LIe 0 A (z)= -shy1-10z 3 n

qn = (~o1l) 1011 shy

1


lufJ t (J v Av L


~= A ~ =3 ~(2Y-l )al1t1 =-20 l


UiJ 71-] W U ~ n ~ 71 lIo i Y4fr 14 ~

~ C(I () Z (~)

-

r~o

r

omiddot 0 ~ oj 0

~

lt- Of-dlaquo -


C ~tl) ~ c (~-41) = t~-4~ (1 +) i () I

DMath Notes Part1


rshy

~q

1shy0 () 1-1 1

0 1 0

1 1shy

p ~gtq I

0

~

I

1

o

JA x61= fAl-Il)


A~middotr 1Jrca-10~


U Un-i~)~o~__

tmiddot bull bull

bull 1

~~ ~


4 ~ I ol4rlt~ 10 ~

~ -=+1 __ -~ =shy 9~Q 0 0

3 1 bull



o





~



~ ~ C( ~~ 2~1

f ~ ~----- ~

(~~

l tv UJ 4 ~

4tlo1Q Ill (

~

1 d bull

81 5middot 3



G 4 -1shy

~----- 91 ftc

~ 0 -lIshy

t -shy

1 2zl __--shy

bullbull f


~J t J 1lt10 ) 10~ ~ J

10 ~ I




-shy

I bull

~

a 0

~=

I bull

bull 1 bull I

((1)= 6 IIbull n- 1 r

~ ~~-- - I

C (7 - rmiddotL ~

4 3 J

t o

middotmiddott

r~ 5 1 middot ( 5

- ~ ~ 1 1_ t 0






b ~



-

I



bull IJ t bull

bull t

bull I bullbull

---shy - ---

bull

z1 o~

4 ~r ~ -i to 10 for jW j t~ (

C lf OJ 2) ( 0 1-12-1 ~ Q ~ ~ ~

_ 1JL1-1- S lt 2

t



r


bull bull I 1 bull


(r4 traquo)

C ) f

en( ~ ~-r)l r

0

~


JQarro~ t1 ~ ~ fc_

piJL 12 66A0 ~ I

l $J1o



(i) ~l~itJo~4t

VOfJi

~I()

-( 1 ~~ t obtl


- --

~) (0 t 1oe)~) ( 411p C (~OJ 5)


)ilvv4 -q

19 j12 J 320

~~ I middot ~~I ~ ~~J ~ ~~

(()-tr- 1)l - (r1- )f



~JO) - e0tJ - (~- ) (n) ~

(kit) -

o ~ l-lb




lJ 0 Q 1 1

fJill lLf~Cl

lio l (~J )


- PDf (0 7utJ

Jc~UlVo bull

1 )

1 iTf

rt)middot$ bull


ltlot 1 -t ()(z + t ~- i

G bull (0 ~ )+ 01 2~ + 0 t (n1l1

- omiddot qo + ( 1 r ~ t + (-J))

~ middotn ( n- i) 2

s

J] ~ i ~ 00 middot


A

0

(~) -) 1w vJ I JO l

~11 V () C ( )

I

1 5151 2

cJ (4) 1 ( 5) 2 ri- + 1 z 2 2 f ~


00

~ 7 f 2 0 01 Z m 11 )

K Al2

_p A(z) - _ 1_o fl =i 1 Z

( ~)


1 -~2 f - z amp-2)t 1-5 1z

- q 0 - 0 0 1=-CJ 2 i a~ r bull

~ - 1u 1gt =amp0

2 zmiddot

J

~ -1 7 11 B- )btv t ~Ol

1v

2+1 1fQ~~~ 3 A(z)=z_z+2 I Qn



31 - - A-Ishy ~ G - 1) oz- 2 Z-J

~

bull I

- -zbull

~ g(~-L)




bull-



--


Z-2[ A(z) ~ i -22) -2

z-1(

II (z) -1) -gt ~ (io) 0 1=)


bullbull


(11Z ~)






LI ~

J~7 [97 ---) j YJ

t 1 J ~ t1D Q I

1q ~dJ


A(z~ ~ -4qo ~ ~~ -i(y =


B+ shy

bullbull

1- 1 10

1 ~ -- - 1- _ 1

-~ t

-1 1-~z

aot 1

LIe 0 A (z)= -shy1-10z 3 n

qn = (~o1l) 1011 shy

1


lufJ t (J v Av L


~= A ~ =3 ~(2Y-l )al1t1 =-20 l


UiJ 71-] W U ~ n ~ 71 lIo i Y4fr 14 ~

~ C(I () Z (~)

-

r~o

r

omiddot 0 ~ oj 0

~

lt- Of-dlaquo -


C ~tl) ~ c (~-41) = t~-4~ (1 +) i () I

DMath Notes Part1


~q

1shy0 () 1-1 1

0 1 0

1 1shy

p ~gtq I

0

~

I

1

o

JA x61= fAl-Il)


A~middotr 1Jrca-10~


U Un-i~)~o~__

tmiddot bull bull

bull 1

~~ ~


4 ~ I ol4rlt~ 10 ~

~ -=+1 __ -~ =shy 9~Q 0 0

3 1 bull



o





~



~ ~ C( ~~ 2~1

f ~ ~----- ~

(~~

l tv UJ 4 ~

4tlo1Q Ill (

~

1 d bull

81 5middot 3



G 4 -1shy

~----- 91 ftc

~ 0 -lIshy

t -shy

1 2zl __--shy

bullbull f


~J t J 1lt10 ) 10~ ~ J

10 ~ I




-shy

I bull

~

a 0

~=

I bull

bull 1 bull I

((1)= 6 IIbull n- 1 r

~ ~~-- - I

C (7 - rmiddotL ~

4 3 J

t o

middotmiddott

r~ 5 1 middot ( 5

- ~ ~ 1 1_ t 0






b ~



-

I



bull IJ t bull

bull t

bull I bullbull

---shy - ---

bull

z1 o~

4 ~r ~ -i to 10 for jW j t~ (

C lf OJ 2) ( 0 1-12-1 ~ Q ~ ~ ~

_ 1JL1-1- S lt 2

t



r


bull bull I 1 bull


(r4 traquo)

C ) f

en( ~ ~-r)l r

0

~


JQarro~ t1 ~ ~ fc_

piJL 12 66A0 ~ I

l $J1o



(i) ~l~itJo~4t

VOfJi

~I()

-( 1 ~~ t obtl


- --

~) (0 t 1oe)~) ( 411p C (~OJ 5)


)ilvv4 -q

19 j12 J 320

~~ I middot ~~I ~ ~~J ~ ~~

(()-tr- 1)l - (r1- )f



~JO) - e0tJ - (~- ) (n) ~

(kit) -

o ~ l-lb




lJ 0 Q 1 1

fJill lLf~Cl

lio l (~J )


- PDf (0 7utJ

Jc~UlVo bull

1 )

1 iTf

rt)middot$ bull


ltlot 1 -t ()(z + t ~- i

G bull (0 ~ )+ 01 2~ + 0 t (n1l1

- omiddot qo + ( 1 r ~ t + (-J))

~ middotn ( n- i) 2

s

J] ~ i ~ 00 middot


A

0

(~) -) 1w vJ I JO l

~11 V () C ( )

I

1 5151 2

cJ (4) 1 ( 5) 2 ri- + 1 z 2 2 f ~


00

~ 7 f 2 0 01 Z m 11 )

K Al2

_p A(z) - _ 1_o fl =i 1 Z

( ~)


1 -~2 f - z amp-2)t 1-5 1z

- q 0 - 0 0 1=-CJ 2 i a~ r bull

~ - 1u 1gt =amp0

2 zmiddot

J

~ -1 7 11 B- )btv t ~Ol

1v

2+1 1fQ~~~ 3 A(z)=z_z+2 I Qn



31 - - A-Ishy ~ G - 1) oz- 2 Z-J

~

bull I

- -zbull

~ g(~-L)




bull-



--


Z-2[ A(z) ~ i -22) -2

z-1(

II (z) -1) -gt ~ (io) 0 1=)


bullbull


(11Z ~)






LI ~

J~7 [97 ---) j YJ

t 1 J ~ t1D Q I

1q ~dJ


A(z~ ~ -4qo ~ ~~ -i(y =


B+ shy

bullbull

1- 1 10

1 ~ -- - 1- _ 1

-~ t

-1 1-~z

aot 1

LIe 0 A (z)= -shy1-10z 3 n

qn = (~o1l) 1011 shy

1


lufJ t (J v Av L


~= A ~ =3 ~(2Y-l )al1t1 =-20 l


UiJ 71-] W U ~ n ~ 71 lIo i Y4fr 14 ~

~ C(I () Z (~)

-

r~o

r

omiddot 0 ~ oj 0

~

lt- Of-dlaquo -


C ~tl) ~ c (~-41) = t~-4~ (1 +) i () I

DMath Notes Part1


1

o

JA x61= fAl-Il)


A~middotr 1Jrca-10~


U Un-i~)~o~__

tmiddot bull bull

bull 1

~~ ~


4 ~ I ol4rlt~ 10 ~

~ -=+1 __ -~ =shy 9~Q 0 0

3 1 bull



o





~



~ ~ C( ~~ 2~1

f ~ ~----- ~

(~~

l tv UJ 4 ~

4tlo1Q Ill (

~

1 d bull

81 5middot 3



G 4 -1shy

~----- 91 ftc

~ 0 -lIshy

t -shy

1 2zl __--shy

bullbull f


~J t J 1lt10 ) 10~ ~ J

10 ~ I




-shy

I bull

~

a 0

~=

I bull

bull 1 bull I

((1)= 6 IIbull n- 1 r

~ ~~-- - I

C (7 - rmiddotL ~

4 3 J

t o

middotmiddott

r~ 5 1 middot ( 5

- ~ ~ 1 1_ t 0






b ~



-

I



bull IJ t bull

bull t

bull I bullbull

---shy - ---

bull

z1 o~

4 ~r ~ -i to 10 for jW j t~ (

C lf OJ 2) ( 0 1-12-1 ~ Q ~ ~ ~

_ 1JL1-1- S lt 2

t



r


bull bull I 1 bull


(r4 traquo)

C ) f

en( ~ ~-r)l r

0

~


JQarro~ t1 ~ ~ fc_

piJL 12 66A0 ~ I

l $J1o



(i) ~l~itJo~4t

VOfJi

~I()

-( 1 ~~ t obtl


- --

~) (0 t 1oe)~) ( 411p C (~OJ 5)


)ilvv4 -q

19 j12 J 320

~~ I middot ~~I ~ ~~J ~ ~~

(()-tr- 1)l - (r1- )f



~JO) - e0tJ - (~- ) (n) ~

(kit) -

o ~ l-lb




lJ 0 Q 1 1

fJill lLf~Cl

lio l (~J )


- PDf (0 7utJ

Jc~UlVo bull

1 )

1 iTf

rt)middot$ bull


ltlot 1 -t ()(z + t ~- i

G bull (0 ~ )+ 01 2~ + 0 t (n1l1

- omiddot qo + ( 1 r ~ t + (-J))

~ middotn ( n- i) 2

s

J] ~ i ~ 00 middot


A

0

(~) -) 1w vJ I JO l

~11 V () C ( )

I

1 5151 2

cJ (4) 1 ( 5) 2 ri- + 1 z 2 2 f ~


00

~ 7 f 2 0 01 Z m 11 )

K Al2

_p A(z) - _ 1_o fl =i 1 Z

( ~)


1 -~2 f - z amp-2)t 1-5 1z

- q 0 - 0 0 1=-CJ 2 i a~ r bull

~ - 1u 1gt =amp0

2 zmiddot

J

~ -1 7 11 B- )btv t ~Ol

1v

2+1 1fQ~~~ 3 A(z)=z_z+2 I Qn



31 - - A-Ishy ~ G - 1) oz- 2 Z-J

~

bull I

- -zbull

~ g(~-L)




bull-



--


Z-2[ A(z) ~ i -22) -2

z-1(

II (z) -1) -gt ~ (io) 0 1=)


bullbull


(11Z ~)






LI ~

J~7 [97 ---) j YJ

t 1 J ~ t1D Q I

1q ~dJ


A(z~ ~ -4qo ~ ~~ -i(y =


B+ shy

bullbull

1- 1 10

1 ~ -- - 1- _ 1

-~ t

-1 1-~z

aot 1

LIe 0 A (z)= -shy1-10z 3 n

qn = (~o1l) 1011 shy

1


lufJ t (J v Av L


~= A ~ =3 ~(2Y-l )al1t1 =-20 l


UiJ 71-] W U ~ n ~ 71 lIo i Y4fr 14 ~

~ C(I () Z (~)

-

r~o

r

omiddot 0 ~ oj 0

~

lt- Of-dlaquo -


C ~tl) ~ c (~-41) = t~-4~ (1 +) i () I

DMath Notes Part1


JA x61= fAl-Il)


A~middotr 1Jrca-10~


U Un-i~)~o~__

tmiddot bull bull

bull 1

~~ ~


4 ~ I ol4rlt~ 10 ~

~ -=+1 __ -~ =shy 9~Q 0 0

3 1 bull



o





~



~ ~ C( ~~ 2~1

f ~ ~----- ~

(~~

l tv UJ 4 ~

4tlo1Q Ill (

~

1 d bull

81 5middot 3



G 4 -1shy

~----- 91 ftc

~ 0 -lIshy

t -shy

1 2zl __--shy

bullbull f


~J t J 1lt10 ) 10~ ~ J

10 ~ I




-shy

I bull

~

a 0

~=

I bull

bull 1 bull I

((1)= 6 IIbull n- 1 r

~ ~~-- - I

C (7 - rmiddotL ~

4 3 J

t o

middotmiddott

r~ 5 1 middot ( 5

- ~ ~ 1 1_ t 0






b ~



-

I



bull IJ t bull

bull t

bull I bullbull

---shy - ---

bull

z1 o~

4 ~r ~ -i to 10 for jW j t~ (

C lf OJ 2) ( 0 1-12-1 ~ Q ~ ~ ~

_ 1JL1-1- S lt 2

t



r


bull bull I 1 bull


(r4 traquo)

C ) f

en( ~ ~-r)l r

0

~


JQarro~ t1 ~ ~ fc_

piJL 12 66A0 ~ I

l $J1o



(i) ~l~itJo~4t

VOfJi

~I()

-( 1 ~~ t obtl


- --

~) (0 t 1oe)~) ( 411p C (~OJ 5)


)ilvv4 -q

19 j12 J 320

~~ I middot ~~I ~ ~~J ~ ~~

(()-tr- 1)l - (r1- )f



~JO) - e0tJ - (~- ) (n) ~

(kit) -

o ~ l-lb




lJ 0 Q 1 1

fJill lLf~Cl

lio l (~J )


- PDf (0 7utJ

Jc~UlVo bull

1 )

1 iTf

rt)middot$ bull


ltlot 1 -t ()(z + t ~- i

G bull (0 ~ )+ 01 2~ + 0 t (n1l1

- omiddot qo + ( 1 r ~ t + (-J))

~ middotn ( n- i) 2

s

J] ~ i ~ 00 middot


A

0

(~) -) 1w vJ I JO l

~11 V () C ( )

I

1 5151 2

cJ (4) 1 ( 5) 2 ri- + 1 z 2 2 f ~


00

~ 7 f 2 0 01 Z m 11 )

K Al2

_p A(z) - _ 1_o fl =i 1 Z

( ~)


1 -~2 f - z amp-2)t 1-5 1z

- q 0 - 0 0 1=-CJ 2 i a~ r bull

~ - 1u 1gt =amp0

2 zmiddot

J

~ -1 7 11 B- )btv t ~Ol

1v

2+1 1fQ~~~ 3 A(z)=z_z+2 I Qn



31 - - A-Ishy ~ G - 1) oz- 2 Z-J

~

bull I

- -zbull

~ g(~-L)




bull-



--


Z-2[ A(z) ~ i -22) -2

z-1(

II (z) -1) -gt ~ (io) 0 1=)


bullbull


(11Z ~)






LI ~

J~7 [97 ---) j YJ

t 1 J ~ t1D Q I

1q ~dJ


A(z~ ~ -4qo ~ ~~ -i(y =


B+ shy

bullbull

1- 1 10

1 ~ -- - 1- _ 1

-~ t

-1 1-~z

aot 1

LIe 0 A (z)= -shy1-10z 3 n

qn = (~o1l) 1011 shy

1


lufJ t (J v Av L


~= A ~ =3 ~(2Y-l )al1t1 =-20 l


UiJ 71-] W U ~ n ~ 71 lIo i Y4fr 14 ~

~ C(I () Z (~)

-

r~o

r

omiddot 0 ~ oj 0

~

lt- Of-dlaquo -


C ~tl) ~ c (~-41) = t~-4~ (1 +) i () I

DMath Notes Part1


bull 1

~~ ~


4 ~ I ol4rlt~ 10 ~

~ -=+1 __ -~ =shy 9~Q 0 0

3 1 bull



o





~



~ ~ C( ~~ 2~1

f ~ ~----- ~

(~~

l tv UJ 4 ~

4tlo1Q Ill (

~

1 d bull

81 5middot 3



G 4 -1shy

~----- 91 ftc

~ 0 -lIshy

t -shy

1 2zl __--shy

bullbull f


~J t J 1lt10 ) 10~ ~ J

10 ~ I




-shy

I bull

~

a 0

~=

I bull

bull 1 bull I

((1)= 6 IIbull n- 1 r

~ ~~-- - I

C (7 - rmiddotL ~

4 3 J

t o

middotmiddott

r~ 5 1 middot ( 5

- ~ ~ 1 1_ t 0






b ~



-

I



bull IJ t bull

bull t

bull I bullbull

---shy - ---

bull

z1 o~

4 ~r ~ -i to 10 for jW j t~ (

C lf OJ 2) ( 0 1-12-1 ~ Q ~ ~ ~

_ 1JL1-1- S lt 2

t



r


bull bull I 1 bull


(r4 traquo)

C ) f

en( ~ ~-r)l r

0

~


JQarro~ t1 ~ ~ fc_

piJL 12 66A0 ~ I

l $J1o



(i) ~l~itJo~4t

VOfJi

~I()

-( 1 ~~ t obtl


- --

~) (0 t 1oe)~) ( 411p C (~OJ 5)


)ilvv4 -q

19 j12 J 320

~~ I middot ~~I ~ ~~J ~ ~~

(()-tr- 1)l - (r1- )f



~JO) - e0tJ - (~- ) (n) ~

(kit) -

o ~ l-lb




lJ 0 Q 1 1

fJill lLf~Cl

lio l (~J )


- PDf (0 7utJ

Jc~UlVo bull

1 )

1 iTf

rt)middot$ bull


ltlot 1 -t ()(z + t ~- i

G bull (0 ~ )+ 01 2~ + 0 t (n1l1

- omiddot qo + ( 1 r ~ t + (-J))

~ middotn ( n- i) 2

s

J] ~ i ~ 00 middot


A

0

(~) -) 1w vJ I JO l

~11 V () C ( )

I

1 5151 2

cJ (4) 1 ( 5) 2 ri- + 1 z 2 2 f ~


00

~ 7 f 2 0 01 Z m 11 )

K Al2

_p A(z) - _ 1_o fl =i 1 Z

( ~)


1 -~2 f - z amp-2)t 1-5 1z

- q 0 - 0 0 1=-CJ 2 i a~ r bull

~ - 1u 1gt =amp0

2 zmiddot

J

~ -1 7 11 B- )btv t ~Ol

1v

2+1 1fQ~~~ 3 A(z)=z_z+2 I Qn



31 - - A-Ishy ~ G - 1) oz- 2 Z-J

~

bull I

- -zbull

~ g(~-L)




bull-



--


Z-2[ A(z) ~ i -22) -2

z-1(

II (z) -1) -gt ~ (io) 0 1=)


bullbull


(11Z ~)






LI ~

J~7 [97 ---) j YJ

t 1 J ~ t1D Q I

1q ~dJ


A(z~ ~ -4qo ~ ~~ -i(y =


B+ shy

bullbull

1- 1 10

1 ~ -- - 1- _ 1

-~ t

-1 1-~z

aot 1

LIe 0 A (z)= -shy1-10z 3 n

qn = (~o1l) 1011 shy

1


lufJ t (J v Av L


~= A ~ =3 ~(2Y-l )al1t1 =-20 l


UiJ 71-] W U ~ n ~ 71 lIo i Y4fr 14 ~

~ C(I () Z (~)

-

r~o

r

omiddot 0 ~ oj 0

~

lt- Of-dlaquo -


C ~tl) ~ c (~-41) = t~-4~ (1 +) i () I

DMath Notes Part1




~



~ ~ C( ~~ 2~1

f ~ ~----- ~

(~~

l tv UJ 4 ~

4tlo1Q Ill (

~

1 d bull

81 5middot 3



G 4 -1shy

~----- 91 ftc

~ 0 -lIshy

t -shy

1 2zl __--shy

bullbull f


~J t J 1lt10 ) 10~ ~ J

10 ~ I




-shy

I bull

~

a 0

~=

I bull

bull 1 bull I

((1)= 6 IIbull n- 1 r

~ ~~-- - I

C (7 - rmiddotL ~

4 3 J

t o

middotmiddott

r~ 5 1 middot ( 5

- ~ ~ 1 1_ t 0






b ~



-

I



bull IJ t bull

bull t

bull I bullbull

---shy - ---

bull

z1 o~

4 ~r ~ -i to 10 for jW j t~ (

C lf OJ 2) ( 0 1-12-1 ~ Q ~ ~ ~

_ 1JL1-1- S lt 2

t



r


bull bull I 1 bull


(r4 traquo)

C ) f

en( ~ ~-r)l r

0

~


JQarro~ t1 ~ ~ fc_

piJL 12 66A0 ~ I

l $J1o



(i) ~l~itJo~4t

VOfJi

~I()

-( 1 ~~ t obtl


- --

~) (0 t 1oe)~) ( 411p C (~OJ 5)


)ilvv4 -q

19 j12 J 320

~~ I middot ~~I ~ ~~J ~ ~~

(()-tr- 1)l - (r1- )f



~JO) - e0tJ - (~- ) (n) ~

(kit) -

o ~ l-lb




lJ 0 Q 1 1

fJill lLf~Cl

lio l (~J )


- PDf (0 7utJ

Jc~UlVo bull

1 )

1 iTf

rt)middot$ bull


ltlot 1 -t ()(z + t ~- i

G bull (0 ~ )+ 01 2~ + 0 t (n1l1

- omiddot qo + ( 1 r ~ t + (-J))

~ middotn ( n- i) 2

s

J] ~ i ~ 00 middot


A

0

(~) -) 1w vJ I JO l

~11 V () C ( )

I

1 5151 2

cJ (4) 1 ( 5) 2 ri- + 1 z 2 2 f ~


00

~ 7 f 2 0 01 Z m 11 )

K Al2

_p A(z) - _ 1_o fl =i 1 Z

( ~)


1 -~2 f - z amp-2)t 1-5 1z

- q 0 - 0 0 1=-CJ 2 i a~ r bull

~ - 1u 1gt =amp0

2 zmiddot

J

~ -1 7 11 B- )btv t ~Ol

1v

2+1 1fQ~~~ 3 A(z)=z_z+2 I Qn



31 - - A-Ishy ~ G - 1) oz- 2 Z-J

~

bull I

- -zbull

~ g(~-L)




bull-



--


Z-2[ A(z) ~ i -22) -2

z-1(

II (z) -1) -gt ~ (io) 0 1=)


bullbull


(11Z ~)






LI ~

J~7 [97 ---) j YJ

t 1 J ~ t1D Q I

1q ~dJ


A(z~ ~ -4qo ~ ~~ -i(y =


B+ shy

bullbull

1- 1 10

1 ~ -- - 1- _ 1

-~ t

-1 1-~z

aot 1

LIe 0 A (z)= -shy1-10z 3 n

qn = (~o1l) 1011 shy

1


lufJ t (J v Av L


~= A ~ =3 ~(2Y-l )al1t1 =-20 l


UiJ 71-] W U ~ n ~ 71 lIo i Y4fr 14 ~

~ C(I () Z (~)

-

r~o

r

omiddot 0 ~ oj 0

~

lt- Of-dlaquo -


C ~tl) ~ c (~-41) = t~-4~ (1 +) i () I

DMath Notes Part1


1 d bull

81 5middot 3



G 4 -1shy

~----- 91 ftc

~ 0 -lIshy

t -shy

1 2zl __--shy

bullbull f


~J t J 1lt10 ) 10~ ~ J

10 ~ I




-shy

I bull

~

a 0

~=

I bull

bull 1 bull I

((1)= 6 IIbull n- 1 r

~ ~~-- - I

C (7 - rmiddotL ~

4 3 J

t o

middotmiddott

r~ 5 1 middot ( 5

- ~ ~ 1 1_ t 0






b ~



-

I



bull IJ t bull

bull t

bull I bullbull

---shy - ---

bull

z1 o~

4 ~r ~ -i to 10 for jW j t~ (

C lf OJ 2) ( 0 1-12-1 ~ Q ~ ~ ~

_ 1JL1-1- S lt 2

t



r


bull bull I 1 bull


(r4 traquo)

C ) f

en( ~ ~-r)l r

0

~


JQarro~ t1 ~ ~ fc_

piJL 12 66A0 ~ I

l $J1o



(i) ~l~itJo~4t

VOfJi

~I()

-( 1 ~~ t obtl


- --

~) (0 t 1oe)~) ( 411p C (~OJ 5)


)ilvv4 -q

19 j12 J 320

~~ I middot ~~I ~ ~~J ~ ~~

(()-tr- 1)l - (r1- )f



~JO) - e0tJ - (~- ) (n) ~

(kit) -

o ~ l-lb




lJ 0 Q 1 1

fJill lLf~Cl

lio l (~J )


- PDf (0 7utJ

Jc~UlVo bull

1 )

1 iTf

rt)middot$ bull


ltlot 1 -t ()(z + t ~- i

G bull (0 ~ )+ 01 2~ + 0 t (n1l1

- omiddot qo + ( 1 r ~ t + (-J))

~ middotn ( n- i) 2

s

J] ~ i ~ 00 middot


A

0

(~) -) 1w vJ I JO l

~11 V () C ( )

I

1 5151 2

cJ (4) 1 ( 5) 2 ri- + 1 z 2 2 f ~


00

~ 7 f 2 0 01 Z m 11 )

K Al2

_p A(z) - _ 1_o fl =i 1 Z

( ~)


1 -~2 f - z amp-2)t 1-5 1z

- q 0 - 0 0 1=-CJ 2 i a~ r bull

~ - 1u 1gt =amp0

2 zmiddot

J

~ -1 7 11 B- )btv t ~Ol

1v

2+1 1fQ~~~ 3 A(z)=z_z+2 I Qn



31 - - A-Ishy ~ G - 1) oz- 2 Z-J

~

bull I

- -zbull

~ g(~-L)




bull-



--


Z-2[ A(z) ~ i -22) -2

z-1(

II (z) -1) -gt ~ (io) 0 1=)


bullbull


(11Z ~)






LI ~

J~7 [97 ---) j YJ

t 1 J ~ t1D Q I

1q ~dJ


A(z~ ~ -4qo ~ ~~ -i(y =


B+ shy

bullbull

1- 1 10

1 ~ -- - 1- _ 1

-~ t

-1 1-~z

aot 1

LIe 0 A (z)= -shy1-10z 3 n

qn = (~o1l) 1011 shy

1


lufJ t (J v Av L


~= A ~ =3 ~(2Y-l )al1t1 =-20 l


UiJ 71-] W U ~ n ~ 71 lIo i Y4fr 14 ~

~ C(I () Z (~)

-

r~o

r

omiddot 0 ~ oj 0

~

lt- Of-dlaquo -


C ~tl) ~ c (~-41) = t~-4~ (1 +) i () I

DMath Notes Part1





-shy

I bull

~

a 0

~=

I bull

bull 1 bull I

((1)= 6 IIbull n- 1 r

~ ~~-- - I

C (7 - rmiddotL ~

4 3 J

t o

middotmiddott

r~ 5 1 middot ( 5

- ~ ~ 1 1_ t 0






b ~



-

I



bull IJ t bull

bull t

bull I bullbull

---shy - ---

bull

z1 o~

4 ~r ~ -i to 10 for jW j t~ (

C lf OJ 2) ( 0 1-12-1 ~ Q ~ ~ ~

_ 1JL1-1- S lt 2

t



r


bull bull I 1 bull


(r4 traquo)

C ) f

en( ~ ~-r)l r

0

~


JQarro~ t1 ~ ~ fc_

piJL 12 66A0 ~ I

l $J1o



(i) ~l~itJo~4t

VOfJi

~I()

-( 1 ~~ t obtl


- --

~) (0 t 1oe)~) ( 411p C (~OJ 5)


)ilvv4 -q

19 j12 J 320

~~ I middot ~~I ~ ~~J ~ ~~

(()-tr- 1)l - (r1- )f



~JO) - e0tJ - (~- ) (n) ~

(kit) -

o ~ l-lb




lJ 0 Q 1 1

fJill lLf~Cl

lio l (~J )


- PDf (0 7utJ

Jc~UlVo bull

1 )

1 iTf

rt)middot$ bull


ltlot 1 -t ()(z + t ~- i

G bull (0 ~ )+ 01 2~ + 0 t (n1l1

- omiddot qo + ( 1 r ~ t + (-J))

~ middotn ( n- i) 2

s

J] ~ i ~ 00 middot


A

0

(~) -) 1w vJ I JO l

~11 V () C ( )

I

1 5151 2

cJ (4) 1 ( 5) 2 ri- + 1 z 2 2 f ~


00

~ 7 f 2 0 01 Z m 11 )

K Al2

_p A(z) - _ 1_o fl =i 1 Z

( ~)


1 -~2 f - z amp-2)t 1-5 1z

- q 0 - 0 0 1=-CJ 2 i a~ r bull

~ - 1u 1gt =amp0

2 zmiddot

J

~ -1 7 11 B- )btv t ~Ol

1v

2+1 1fQ~~~ 3 A(z)=z_z+2 I Qn



31 - - A-Ishy ~ G - 1) oz- 2 Z-J

~

bull I

- -zbull

~ g(~-L)




bull-



--


Z-2[ A(z) ~ i -22) -2

z-1(

II (z) -1) -gt ~ (io) 0 1=)


bullbull


(11Z ~)






LI ~

J~7 [97 ---) j YJ

t 1 J ~ t1D Q I

1q ~dJ


A(z~ ~ -4qo ~ ~~ -i(y =


B+ shy

bullbull

1- 1 10

1 ~ -- - 1- _ 1

-~ t

-1 1-~z

aot 1

LIe 0 A (z)= -shy1-10z 3 n

qn = (~o1l) 1011 shy

1


lufJ t (J v Av L


~= A ~ =3 ~(2Y-l )al1t1 =-20 l


UiJ 71-] W U ~ n ~ 71 lIo i Y4fr 14 ~

~ C(I () Z (~)

-

r~o

r

omiddot 0 ~ oj 0

~

lt- Of-dlaquo -


C ~tl) ~ c (~-41) = t~-4~ (1 +) i () I

DMath Notes Part1


r~ 5 1 middot ( 5

- ~ ~ 1 1_ t 0






b ~



-

I



bull IJ t bull

bull t

bull I bullbull

---shy - ---

bull

z1 o~

4 ~r ~ -i to 10 for jW j t~ (

C lf OJ 2) ( 0 1-12-1 ~ Q ~ ~ ~

_ 1JL1-1- S lt 2

t



r


bull bull I 1 bull


(r4 traquo)

C ) f

en( ~ ~-r)l r

0

~


JQarro~ t1 ~ ~ fc_

piJL 12 66A0 ~ I

l $J1o



(i) ~l~itJo~4t

VOfJi

~I()

-( 1 ~~ t obtl


- --

~) (0 t 1oe)~) ( 411p C (~OJ 5)


)ilvv4 -q

19 j12 J 320

~~ I middot ~~I ~ ~~J ~ ~~

(()-tr- 1)l - (r1- )f



~JO) - e0tJ - (~- ) (n) ~

(kit) -

o ~ l-lb




lJ 0 Q 1 1

fJill lLf~Cl

lio l (~J )


- PDf (0 7utJ

Jc~UlVo bull

1 )

1 iTf

rt)middot$ bull


ltlot 1 -t ()(z + t ~- i

G bull (0 ~ )+ 01 2~ + 0 t (n1l1

- omiddot qo + ( 1 r ~ t + (-J))

~ middotn ( n- i) 2

s

J] ~ i ~ 00 middot


A

0

(~) -) 1w vJ I JO l

~11 V () C ( )

I

1 5151 2

cJ (4) 1 ( 5) 2 ri- + 1 z 2 2 f ~


00

~ 7 f 2 0 01 Z m 11 )

K Al2

_p A(z) - _ 1_o fl =i 1 Z

( ~)


1 -~2 f - z amp-2)t 1-5 1z

- q 0 - 0 0 1=-CJ 2 i a~ r bull

~ - 1u 1gt =amp0

2 zmiddot

J

~ -1 7 11 B- )btv t ~Ol

1v

2+1 1fQ~~~ 3 A(z)=z_z+2 I Qn



31 - - A-Ishy ~ G - 1) oz- 2 Z-J

~

bull I

- -zbull

~ g(~-L)




bull-



--


Z-2[ A(z) ~ i -22) -2

z-1(

II (z) -1) -gt ~ (io) 0 1=)


bullbull


(11Z ~)






LI ~

J~7 [97 ---) j YJ

t 1 J ~ t1D Q I

1q ~dJ


A(z~ ~ -4qo ~ ~~ -i(y =


B+ shy

bullbull

1- 1 10

1 ~ -- - 1- _ 1

-~ t

-1 1-~z

aot 1

LIe 0 A (z)= -shy1-10z 3 n

qn = (~o1l) 1011 shy

1


lufJ t (J v Av L


~= A ~ =3 ~(2Y-l )al1t1 =-20 l


UiJ 71-] W U ~ n ~ 71 lIo i Y4fr 14 ~

~ C(I () Z (~)

-

r~o

r

omiddot 0 ~ oj 0

~

lt- Of-dlaquo -


C ~tl) ~ c (~-41) = t~-4~ (1 +) i () I

DMath Notes Part1



-

I



bull IJ t bull

bull t

bull I bullbull

---shy - ---

bull

z1 o~

4 ~r ~ -i to 10 for jW j t~ (

C lf OJ 2) ( 0 1-12-1 ~ Q ~ ~ ~

_ 1JL1-1- S lt 2

t



r


bull bull I 1 bull


(r4 traquo)

C ) f

en( ~ ~-r)l r

0

~


JQarro~ t1 ~ ~ fc_

piJL 12 66A0 ~ I

l $J1o



(i) ~l~itJo~4t

VOfJi

~I()

-( 1 ~~ t obtl


- --

~) (0 t 1oe)~) ( 411p C (~OJ 5)


)ilvv4 -q

19 j12 J 320

~~ I middot ~~I ~ ~~J ~ ~~

(()-tr- 1)l - (r1- )f



~JO) - e0tJ - (~- ) (n) ~

(kit) -

o ~ l-lb




lJ 0 Q 1 1

fJill lLf~Cl

lio l (~J )


- PDf (0 7utJ

Jc~UlVo bull

1 )

1 iTf

rt)middot$ bull


ltlot 1 -t ()(z + t ~- i

G bull (0 ~ )+ 01 2~ + 0 t (n1l1

- omiddot qo + ( 1 r ~ t + (-J))

~ middotn ( n- i) 2

s

J] ~ i ~ 00 middot


A

0

(~) -) 1w vJ I JO l

~11 V () C ( )

I

1 5151 2

cJ (4) 1 ( 5) 2 ri- + 1 z 2 2 f ~


00

~ 7 f 2 0 01 Z m 11 )

K Al2

_p A(z) - _ 1_o fl =i 1 Z

( ~)


1 -~2 f - z amp-2)t 1-5 1z

- q 0 - 0 0 1=-CJ 2 i a~ r bull

~ - 1u 1gt =amp0

2 zmiddot

J

~ -1 7 11 B- )btv t ~Ol

1v

2+1 1fQ~~~ 3 A(z)=z_z+2 I Qn



31 - - A-Ishy ~ G - 1) oz- 2 Z-J

~

bull I

- -zbull

~ g(~-L)




bull-



--


Z-2[ A(z) ~ i -22) -2

z-1(

II (z) -1) -gt ~ (io) 0 1=)


bullbull


(11Z ~)






LI ~

J~7 [97 ---) j YJ

t 1 J ~ t1D Q I

1q ~dJ


A(z~ ~ -4qo ~ ~~ -i(y =


B+ shy

bullbull

1- 1 10

1 ~ -- - 1- _ 1

-~ t

-1 1-~z

aot 1

LIe 0 A (z)= -shy1-10z 3 n

qn = (~o1l) 1011 shy

1


lufJ t (J v Av L


~= A ~ =3 ~(2Y-l )al1t1 =-20 l


UiJ 71-] W U ~ n ~ 71 lIo i Y4fr 14 ~

~ C(I () Z (~)

-

r~o

r

omiddot 0 ~ oj 0

~

lt- Of-dlaquo -


C ~tl) ~ c (~-41) = t~-4~ (1 +) i () I

DMath Notes Part1


bull

z1 o~

4 ~r ~ -i to 10 for jW j t~ (

C lf OJ 2) ( 0 1-12-1 ~ Q ~ ~ ~

_ 1JL1-1- S lt 2

t



r


bull bull I 1 bull


(r4 traquo)

C ) f

en( ~ ~-r)l r

0

~


JQarro~ t1 ~ ~ fc_

piJL 12 66A0 ~ I

l $J1o



(i) ~l~itJo~4t

VOfJi

~I()

-( 1 ~~ t obtl


- --

~) (0 t 1oe)~) ( 411p C (~OJ 5)


)ilvv4 -q

19 j12 J 320

~~ I middot ~~I ~ ~~J ~ ~~

(()-tr- 1)l - (r1- )f



~JO) - e0tJ - (~- ) (n) ~

(kit) -

o ~ l-lb




lJ 0 Q 1 1

fJill lLf~Cl

lio l (~J )


- PDf (0 7utJ

Jc~UlVo bull

1 )

1 iTf

rt)middot$ bull


ltlot 1 -t ()(z + t ~- i

G bull (0 ~ )+ 01 2~ + 0 t (n1l1

- omiddot qo + ( 1 r ~ t + (-J))

~ middotn ( n- i) 2

s

J] ~ i ~ 00 middot


A

0

(~) -) 1w vJ I JO l

~11 V () C ( )

I

1 5151 2

cJ (4) 1 ( 5) 2 ri- + 1 z 2 2 f ~


00

~ 7 f 2 0 01 Z m 11 )

K Al2

_p A(z) - _ 1_o fl =i 1 Z

( ~)


1 -~2 f - z amp-2)t 1-5 1z

- q 0 - 0 0 1=-CJ 2 i a~ r bull

~ - 1u 1gt =amp0

2 zmiddot

J

~ -1 7 11 B- )btv t ~Ol

1v

2+1 1fQ~~~ 3 A(z)=z_z+2 I Qn



31 - - A-Ishy ~ G - 1) oz- 2 Z-J

~

bull I

- -zbull

~ g(~-L)




bull-



--


Z-2[ A(z) ~ i -22) -2

z-1(

II (z) -1) -gt ~ (io) 0 1=)


bullbull


(11Z ~)






LI ~

J~7 [97 ---) j YJ

t 1 J ~ t1D Q I

1q ~dJ


A(z~ ~ -4qo ~ ~~ -i(y =


B+ shy

bullbull

1- 1 10

1 ~ -- - 1- _ 1

-~ t

-1 1-~z

aot 1

LIe 0 A (z)= -shy1-10z 3 n

qn = (~o1l) 1011 shy

1


lufJ t (J v Av L


~= A ~ =3 ~(2Y-l )al1t1 =-20 l


UiJ 71-] W U ~ n ~ 71 lIo i Y4fr 14 ~

~ C(I () Z (~)

-

r~o

r

omiddot 0 ~ oj 0

~

lt- Of-dlaquo -


C ~tl) ~ c (~-41) = t~-4~ (1 +) i () I

DMath Notes Part1


r


bull bull I 1 bull


(r4 traquo)

C ) f

en( ~ ~-r)l r

0

~


JQarro~ t1 ~ ~ fc_

piJL 12 66A0 ~ I

l $J1o



(i) ~l~itJo~4t

VOfJi

~I()

-( 1 ~~ t obtl


- --

~) (0 t 1oe)~) ( 411p C (~OJ 5)


)ilvv4 -q

19 j12 J 320

~~ I middot ~~I ~ ~~J ~ ~~

(()-tr- 1)l - (r1- )f



~JO) - e0tJ - (~- ) (n) ~

(kit) -

o ~ l-lb




lJ 0 Q 1 1

fJill lLf~Cl

lio l (~J )


- PDf (0 7utJ

Jc~UlVo bull

1 )

1 iTf

rt)middot$ bull


ltlot 1 -t ()(z + t ~- i

G bull (0 ~ )+ 01 2~ + 0 t (n1l1

- omiddot qo + ( 1 r ~ t + (-J))

~ middotn ( n- i) 2

s

J] ~ i ~ 00 middot


A

0

(~) -) 1w vJ I JO l

~11 V () C ( )

I

1 5151 2

cJ (4) 1 ( 5) 2 ri- + 1 z 2 2 f ~


00

~ 7 f 2 0 01 Z m 11 )

K Al2

_p A(z) - _ 1_o fl =i 1 Z

( ~)


1 -~2 f - z amp-2)t 1-5 1z

- q 0 - 0 0 1=-CJ 2 i a~ r bull

~ - 1u 1gt =amp0

2 zmiddot

J

~ -1 7 11 B- )btv t ~Ol

1v

2+1 1fQ~~~ 3 A(z)=z_z+2 I Qn



31 - - A-Ishy ~ G - 1) oz- 2 Z-J

~

bull I

- -zbull

~ g(~-L)




bull-



--


Z-2[ A(z) ~ i -22) -2

z-1(

II (z) -1) -gt ~ (io) 0 1=)


bullbull


(11Z ~)






LI ~

J~7 [97 ---) j YJ

t 1 J ~ t1D Q I

1q ~dJ


A(z~ ~ -4qo ~ ~~ -i(y =


B+ shy

bullbull

1- 1 10

1 ~ -- - 1- _ 1

-~ t

-1 1-~z

aot 1

LIe 0 A (z)= -shy1-10z 3 n

qn = (~o1l) 1011 shy

1


lufJ t (J v Av L


~= A ~ =3 ~(2Y-l )al1t1 =-20 l


UiJ 71-] W U ~ n ~ 71 lIo i Y4fr 14 ~

~ C(I () Z (~)

-

r~o

r

omiddot 0 ~ oj 0

~

lt- Of-dlaquo -


C ~tl) ~ c (~-41) = t~-4~ (1 +) i () I

DMath Notes Part1


~) (0 t 1oe)~) ( 411p C (~OJ 5)


)ilvv4 -q

19 j12 J 320

~~ I middot ~~I ~ ~~J ~ ~~

(()-tr- 1)l - (r1- )f



~JO) - e0tJ - (~- ) (n) ~

(kit) -

o ~ l-lb




lJ 0 Q 1 1

fJill lLf~Cl

lio l (~J )


- PDf (0 7utJ

Jc~UlVo bull

1 )

1 iTf

rt)middot$ bull


ltlot 1 -t ()(z + t ~- i

G bull (0 ~ )+ 01 2~ + 0 t (n1l1

- omiddot qo + ( 1 r ~ t + (-J))

~ middotn ( n- i) 2

s

J] ~ i ~ 00 middot


A

0

(~) -) 1w vJ I JO l

~11 V () C ( )

I

1 5151 2

cJ (4) 1 ( 5) 2 ri- + 1 z 2 2 f ~


00

~ 7 f 2 0 01 Z m 11 )

K Al2

_p A(z) - _ 1_o fl =i 1 Z

( ~)


1 -~2 f - z amp-2)t 1-5 1z

- q 0 - 0 0 1=-CJ 2 i a~ r bull

~ - 1u 1gt =amp0

2 zmiddot

J

~ -1 7 11 B- )btv t ~Ol

1v

2+1 1fQ~~~ 3 A(z)=z_z+2 I Qn



31 - - A-Ishy ~ G - 1) oz- 2 Z-J

~

bull I

- -zbull

~ g(~-L)




bull-



--


Z-2[ A(z) ~ i -22) -2

z-1(

II (z) -1) -gt ~ (io) 0 1=)


bullbull


(11Z ~)






LI ~

J~7 [97 ---) j YJ

t 1 J ~ t1D Q I

1q ~dJ


A(z~ ~ -4qo ~ ~~ -i(y =


B+ shy

bullbull

1- 1 10

1 ~ -- - 1- _ 1

-~ t

-1 1-~z

aot 1

LIe 0 A (z)= -shy1-10z 3 n

qn = (~o1l) 1011 shy

1


lufJ t (J v Av L


~= A ~ =3 ~(2Y-l )al1t1 =-20 l


UiJ 71-] W U ~ n ~ 71 lIo i Y4fr 14 ~

~ C(I () Z (~)

-

r~o

r

omiddot 0 ~ oj 0

~

lt- Of-dlaquo -


C ~tl) ~ c (~-41) = t~-4~ (1 +) i () I

DMath Notes Part1


19 j12 J 320

~~ I middot ~~I ~ ~~J ~ ~~

(()-tr- 1)l - (r1- )f



~JO) - e0tJ - (~- ) (n) ~

(kit) -

o ~ l-lb




lJ 0 Q 1 1

fJill lLf~Cl

lio l (~J )


- PDf (0 7utJ

Jc~UlVo bull

1 )

1 iTf

rt)middot$ bull


ltlot 1 -t ()(z + t ~- i

G bull (0 ~ )+ 01 2~ + 0 t (n1l1

- omiddot qo + ( 1 r ~ t + (-J))

~ middotn ( n- i) 2

s

J] ~ i ~ 00 middot


A

0

(~) -) 1w vJ I JO l

~11 V () C ( )

I

1 5151 2

cJ (4) 1 ( 5) 2 ri- + 1 z 2 2 f ~


00

~ 7 f 2 0 01 Z m 11 )

K Al2

_p A(z) - _ 1_o fl =i 1 Z

( ~)


1 -~2 f - z amp-2)t 1-5 1z

- q 0 - 0 0 1=-CJ 2 i a~ r bull

~ - 1u 1gt =amp0

2 zmiddot

J

~ -1 7 11 B- )btv t ~Ol

1v

2+1 1fQ~~~ 3 A(z)=z_z+2 I Qn



31 - - A-Ishy ~ G - 1) oz- 2 Z-J

~

bull I

- -zbull

~ g(~-L)




bull-



--


Z-2[ A(z) ~ i -22) -2

z-1(

II (z) -1) -gt ~ (io) 0 1=)


bullbull


(11Z ~)






LI ~

J~7 [97 ---) j YJ

t 1 J ~ t1D Q I

1q ~dJ


A(z~ ~ -4qo ~ ~~ -i(y =


B+ shy

bullbull

1- 1 10

1 ~ -- - 1- _ 1

-~ t

-1 1-~z

aot 1

LIe 0 A (z)= -shy1-10z 3 n

qn = (~o1l) 1011 shy

1


lufJ t (J v Av L


~= A ~ =3 ~(2Y-l )al1t1 =-20 l


UiJ 71-] W U ~ n ~ 71 lIo i Y4fr 14 ~

~ C(I () Z (~)

-

r~o

r

omiddot 0 ~ oj 0

~

lt- Of-dlaquo -


C ~tl) ~ c (~-41) = t~-4~ (1 +) i () I

DMath Notes Part1


~JO) - e0tJ - (~- ) (n) ~

(kit) -

o ~ l-lb




lJ 0 Q 1 1

fJill lLf~Cl

lio l (~J )


- PDf (0 7utJ

Jc~UlVo bull

1 )

1 iTf

rt)middot$ bull


ltlot 1 -t ()(z + t ~- i

G bull (0 ~ )+ 01 2~ + 0 t (n1l1

- omiddot qo + ( 1 r ~ t + (-J))

~ middotn ( n- i) 2

s

J] ~ i ~ 00 middot


A

0

(~) -) 1w vJ I JO l

~11 V () C ( )

I

1 5151 2

cJ (4) 1 ( 5) 2 ri- + 1 z 2 2 f ~


00

~ 7 f 2 0 01 Z m 11 )

K Al2

_p A(z) - _ 1_o fl =i 1 Z

( ~)


1 -~2 f - z amp-2)t 1-5 1z

- q 0 - 0 0 1=-CJ 2 i a~ r bull

~ - 1u 1gt =amp0

2 zmiddot

J

~ -1 7 11 B- )btv t ~Ol

1v

2+1 1fQ~~~ 3 A(z)=z_z+2 I Qn



31 - - A-Ishy ~ G - 1) oz- 2 Z-J

~

bull I

- -zbull

~ g(~-L)




bull-



--


Z-2[ A(z) ~ i -22) -2

z-1(

II (z) -1) -gt ~ (io) 0 1=)


bullbull


(11Z ~)






LI ~

J~7 [97 ---) j YJ

t 1 J ~ t1D Q I

1q ~dJ


A(z~ ~ -4qo ~ ~~ -i(y =


B+ shy

bullbull

1- 1 10

1 ~ -- - 1- _ 1

-~ t

-1 1-~z

aot 1

LIe 0 A (z)= -shy1-10z 3 n

qn = (~o1l) 1011 shy

1


lufJ t (J v Av L


~= A ~ =3 ~(2Y-l )al1t1 =-20 l


UiJ 71-] W U ~ n ~ 71 lIo i Y4fr 14 ~

~ C(I () Z (~)

-

r~o

r

omiddot 0 ~ oj 0

~

lt- Of-dlaquo -


C ~tl) ~ c (~-41) = t~-4~ (1 +) i () I

DMath Notes Part1



lJ 0 Q 1 1

fJill lLf~Cl

lio l (~J )


- PDf (0 7utJ

Jc~UlVo bull

1 )

1 iTf

rt)middot$ bull


ltlot 1 -t ()(z + t ~- i

G bull (0 ~ )+ 01 2~ + 0 t (n1l1

- omiddot qo + ( 1 r ~ t + (-J))

~ middotn ( n- i) 2

s

J] ~ i ~ 00 middot


A

0

(~) -) 1w vJ I JO l

~11 V () C ( )

I

1 5151 2

cJ (4) 1 ( 5) 2 ri- + 1 z 2 2 f ~


00

~ 7 f 2 0 01 Z m 11 )

K Al2

_p A(z) - _ 1_o fl =i 1 Z

( ~)


1 -~2 f - z amp-2)t 1-5 1z

- q 0 - 0 0 1=-CJ 2 i a~ r bull

~ - 1u 1gt =amp0

2 zmiddot

J

~ -1 7 11 B- )btv t ~Ol

1v

2+1 1fQ~~~ 3 A(z)=z_z+2 I Qn



31 - - A-Ishy ~ G - 1) oz- 2 Z-J

~

bull I

- -zbull

~ g(~-L)




bull-



--


Z-2[ A(z) ~ i -22) -2

z-1(

II (z) -1) -gt ~ (io) 0 1=)


bullbull


(11Z ~)






LI ~

J~7 [97 ---) j YJ

t 1 J ~ t1D Q I

1q ~dJ


A(z~ ~ -4qo ~ ~~ -i(y =


B+ shy

bullbull

1- 1 10

1 ~ -- - 1- _ 1

-~ t

-1 1-~z

aot 1

LIe 0 A (z)= -shy1-10z 3 n

qn = (~o1l) 1011 shy

1


lufJ t (J v Av L


~= A ~ =3 ~(2Y-l )al1t1 =-20 l


UiJ 71-] W U ~ n ~ 71 lIo i Y4fr 14 ~

~ C(I () Z (~)

-

r~o

r

omiddot 0 ~ oj 0

~

lt- Of-dlaquo -


C ~tl) ~ c (~-41) = t~-4~ (1 +) i () I

DMath Notes Part1


s

J] ~ i ~ 00 middot


A

0

(~) -) 1w vJ I JO l

~11 V () C ( )

I

1 5151 2

cJ (4) 1 ( 5) 2 ri- + 1 z 2 2 f ~


00

~ 7 f 2 0 01 Z m 11 )

K Al2

_p A(z) - _ 1_o fl =i 1 Z

( ~)


1 -~2 f - z amp-2)t 1-5 1z

- q 0 - 0 0 1=-CJ 2 i a~ r bull

~ - 1u 1gt =amp0

2 zmiddot

J

~ -1 7 11 B- )btv t ~Ol

1v

2+1 1fQ~~~ 3 A(z)=z_z+2 I Qn



31 - - A-Ishy ~ G - 1) oz- 2 Z-J

~

bull I

- -zbull

~ g(~-L)




bull-



--


Z-2[ A(z) ~ i -22) -2

z-1(

II (z) -1) -gt ~ (io) 0 1=)


bullbull


(11Z ~)






LI ~

J~7 [97 ---) j YJ

t 1 J ~ t1D Q I

1q ~dJ


A(z~ ~ -4qo ~ ~~ -i(y =


B+ shy

bullbull

1- 1 10

1 ~ -- - 1- _ 1

-~ t

-1 1-~z

aot 1

LIe 0 A (z)= -shy1-10z 3 n

qn = (~o1l) 1011 shy

1


lufJ t (J v Av L


~= A ~ =3 ~(2Y-l )al1t1 =-20 l


UiJ 71-] W U ~ n ~ 71 lIo i Y4fr 14 ~

~ C(I () Z (~)

-

r~o

r

omiddot 0 ~ oj 0

~

lt- Of-dlaquo -


C ~tl) ~ c (~-41) = t~-4~ (1 +) i () I

DMath Notes Part1


I

1 5151 2

cJ (4) 1 ( 5) 2 ri- + 1 z 2 2 f ~


00

~ 7 f 2 0 01 Z m 11 )

K Al2

_p A(z) - _ 1_o fl =i 1 Z

( ~)


1 -~2 f - z amp-2)t 1-5 1z

- q 0 - 0 0 1=-CJ 2 i a~ r bull

~ - 1u 1gt =amp0

2 zmiddot

J

~ -1 7 11 B- )btv t ~Ol

1v

2+1 1fQ~~~ 3 A(z)=z_z+2 I Qn



31 - - A-Ishy ~ G - 1) oz- 2 Z-J

~

bull I

- -zbull

~ g(~-L)




bull-



--


Z-2[ A(z) ~ i -22) -2

z-1(

II (z) -1) -gt ~ (io) 0 1=)


bullbull


(11Z ~)






LI ~

J~7 [97 ---) j YJ

t 1 J ~ t1D Q I

1q ~dJ


A(z~ ~ -4qo ~ ~~ -i(y =


B+ shy

bullbull

1- 1 10

1 ~ -- - 1- _ 1

-~ t

-1 1-~z

aot 1

LIe 0 A (z)= -shy1-10z 3 n

qn = (~o1l) 1011 shy

1


lufJ t (J v Av L


~= A ~ =3 ~(2Y-l )al1t1 =-20 l


UiJ 71-] W U ~ n ~ 71 lIo i Y4fr 14 ~

~ C(I () Z (~)

-

r~o

r

omiddot 0 ~ oj 0

~

lt- Of-dlaquo -


C ~tl) ~ c (~-41) = t~-4~ (1 +) i () I

DMath Notes Part1


1 5151 2

cJ (4) 1 ( 5) 2 ri- + 1 z 2 2 f ~


00

~ 7 f 2 0 01 Z m 11 )

K Al2

_p A(z) - _ 1_o fl =i 1 Z

( ~)


1 -~2 f - z amp-2)t 1-5 1z

- q 0 - 0 0 1=-CJ 2 i a~ r bull

~ - 1u 1gt =amp0

2 zmiddot

J

~ -1 7 11 B- )btv t ~Ol

1v

2+1 1fQ~~~ 3 A(z)=z_z+2 I Qn



31 - - A-Ishy ~ G - 1) oz- 2 Z-J

~

bull I

- -zbull

~ g(~-L)




bull-



--


Z-2[ A(z) ~ i -22) -2

z-1(

II (z) -1) -gt ~ (io) 0 1=)


bullbull


(11Z ~)






LI ~

J~7 [97 ---) j YJ

t 1 J ~ t1D Q I

1q ~dJ


A(z~ ~ -4qo ~ ~~ -i(y =


B+ shy

bullbull

1- 1 10

1 ~ -- - 1- _ 1

-~ t

-1 1-~z

aot 1

LIe 0 A (z)= -shy1-10z 3 n

qn = (~o1l) 1011 shy

1


lufJ t (J v Av L


~= A ~ =3 ~(2Y-l )al1t1 =-20 l


UiJ 71-] W U ~ n ~ 71 lIo i Y4fr 14 ~

~ C(I () Z (~)

-

r~o

r

omiddot 0 ~ oj 0

~

lt- Of-dlaquo -


C ~tl) ~ c (~-41) = t~-4~ (1 +) i () I

DMath Notes Part1



00

~ 7 f 2 0 01 Z m 11 )

K Al2

_p A(z) - _ 1_o fl =i 1 Z

( ~)


1 -~2 f - z amp-2)t 1-5 1z

- q 0 - 0 0 1=-CJ 2 i a~ r bull

~ - 1u 1gt =amp0

2 zmiddot

J

~ -1 7 11 B- )btv t ~Ol

1v

2+1 1fQ~~~ 3 A(z)=z_z+2 I Qn



31 - - A-Ishy ~ G - 1) oz- 2 Z-J

~

bull I

- -zbull

~ g(~-L)




bull-



--


Z-2[ A(z) ~ i -22) -2

z-1(

II (z) -1) -gt ~ (io) 0 1=)


bullbull


(11Z ~)






LI ~

J~7 [97 ---) j YJ

t 1 J ~ t1D Q I

1q ~dJ


A(z~ ~ -4qo ~ ~~ -i(y =


B+ shy

bullbull

1- 1 10

1 ~ -- - 1- _ 1

-~ t

-1 1-~z

aot 1

LIe 0 A (z)= -shy1-10z 3 n

qn = (~o1l) 1011 shy

1


lufJ t (J v Av L


~= A ~ =3 ~(2Y-l )al1t1 =-20 l


UiJ 71-] W U ~ n ~ 71 lIo i Y4fr 14 ~

~ C(I () Z (~)

-

r~o

r

omiddot 0 ~ oj 0

~

lt- Of-dlaquo -


C ~tl) ~ c (~-41) = t~-4~ (1 +) i () I

DMath Notes Part1


_p A(z) - _ 1_o fl =i 1 Z

( ~)


1 -~2 f - z amp-2)t 1-5 1z

- q 0 - 0 0 1=-CJ 2 i a~ r bull

~ - 1u 1gt =amp0

2 zmiddot

J

~ -1 7 11 B- )btv t ~Ol

1v

2+1 1fQ~~~ 3 A(z)=z_z+2 I Qn



31 - - A-Ishy ~ G - 1) oz- 2 Z-J

~

bull I

- -zbull

~ g(~-L)




bull-



--


Z-2[ A(z) ~ i -22) -2

z-1(

II (z) -1) -gt ~ (io) 0 1=)


bullbull


(11Z ~)






LI ~

J~7 [97 ---) j YJ

t 1 J ~ t1D Q I

1q ~dJ


A(z~ ~ -4qo ~ ~~ -i(y =


B+ shy

bullbull

1- 1 10

1 ~ -- - 1- _ 1

-~ t

-1 1-~z

aot 1

LIe 0 A (z)= -shy1-10z 3 n

qn = (~o1l) 1011 shy

1


lufJ t (J v Av L


~= A ~ =3 ~(2Y-l )al1t1 =-20 l


UiJ 71-] W U ~ n ~ 71 lIo i Y4fr 14 ~

~ C(I () Z (~)

-

r~o

r

omiddot 0 ~ oj 0

~

lt- Of-dlaquo -


C ~tl) ~ c (~-41) = t~-4~ (1 +) i () I

DMath Notes Part1


2 zmiddot

J

~ -1 7 11 B- )btv t ~Ol

1v

2+1 1fQ~~~ 3 A(z)=z_z+2 I Qn



31 - - A-Ishy ~ G - 1) oz- 2 Z-J

~

bull I

- -zbull

~ g(~-L)




bull-



--


Z-2[ A(z) ~ i -22) -2

z-1(

II (z) -1) -gt ~ (io) 0 1=)


bullbull


(11Z ~)






LI ~

J~7 [97 ---) j YJ

t 1 J ~ t1D Q I

1q ~dJ


A(z~ ~ -4qo ~ ~~ -i(y =


B+ shy

bullbull

1- 1 10

1 ~ -- - 1- _ 1

-~ t

-1 1-~z

aot 1

LIe 0 A (z)= -shy1-10z 3 n

qn = (~o1l) 1011 shy

1


lufJ t (J v Av L


~= A ~ =3 ~(2Y-l )al1t1 =-20 l


UiJ 71-] W U ~ n ~ 71 lIo i Y4fr 14 ~

~ C(I () Z (~)

-

r~o

r

omiddot 0 ~ oj 0

~

lt- Of-dlaquo -


C ~tl) ~ c (~-41) = t~-4~ (1 +) i () I

DMath Notes Part1


2+1 1fQ~~~ 3 A(z)=z_z+2 I Qn



31 - - A-Ishy ~ G - 1) oz- 2 Z-J

~

bull I

- -zbull

~ g(~-L)




bull-



--


Z-2[ A(z) ~ i -22) -2

z-1(

II (z) -1) -gt ~ (io) 0 1=)


bullbull


(11Z ~)






LI ~

J~7 [97 ---) j YJ

t 1 J ~ t1D Q I

1q ~dJ


A(z~ ~ -4qo ~ ~~ -i(y =


B+ shy

bullbull

1- 1 10

1 ~ -- - 1- _ 1

-~ t

-1 1-~z

aot 1

LIe 0 A (z)= -shy1-10z 3 n

qn = (~o1l) 1011 shy

1


lufJ t (J v Av L


~= A ~ =3 ~(2Y-l )al1t1 =-20 l


UiJ 71-] W U ~ n ~ 71 lIo i Y4fr 14 ~

~ C(I () Z (~)

-

r~o

r

omiddot 0 ~ oj 0

~

lt- Of-dlaquo -


C ~tl) ~ c (~-41) = t~-4~ (1 +) i () I

DMath Notes Part1


bull I

- -zbull

~ g(~-L)




bull-



--


Z-2[ A(z) ~ i -22) -2

z-1(

II (z) -1) -gt ~ (io) 0 1=)


bullbull


(11Z ~)






LI ~

J~7 [97 ---) j YJ

t 1 J ~ t1D Q I

1q ~dJ


A(z~ ~ -4qo ~ ~~ -i(y =


B+ shy

bullbull

1- 1 10

1 ~ -- - 1- _ 1

-~ t

-1 1-~z

aot 1

LIe 0 A (z)= -shy1-10z 3 n

qn = (~o1l) 1011 shy

1


lufJ t (J v Av L


~= A ~ =3 ~(2Y-l )al1t1 =-20 l


UiJ 71-] W U ~ n ~ 71 lIo i Y4fr 14 ~

~ C(I () Z (~)

-

r~o

r

omiddot 0 ~ oj 0

~

lt- Of-dlaquo -


C ~tl) ~ c (~-41) = t~-4~ (1 +) i () I

DMath Notes Part1


--


Z-2[ A(z) ~ i -22) -2

z-1(

II (z) -1) -gt ~ (io) 0 1=)


bullbull


(11Z ~)






LI ~

J~7 [97 ---) j YJ

t 1 J ~ t1D Q I

1q ~dJ


A(z~ ~ -4qo ~ ~~ -i(y =


B+ shy

bullbull

1- 1 10

1 ~ -- - 1- _ 1

-~ t

-1 1-~z

aot 1

LIe 0 A (z)= -shy1-10z 3 n

qn = (~o1l) 1011 shy

1


lufJ t (J v Av L


~= A ~ =3 ~(2Y-l )al1t1 =-20 l


UiJ 71-] W U ~ n ~ 71 lIo i Y4fr 14 ~

~ C(I () Z (~)

-

r~o

r

omiddot 0 ~ oj 0

~

lt- Of-dlaquo -


C ~tl) ~ c (~-41) = t~-4~ (1 +) i () I

DMath Notes Part1



(11Z ~)






LI ~

J~7 [97 ---) j YJ

t 1 J ~ t1D Q I

1q ~dJ


A(z~ ~ -4qo ~ ~~ -i(y =


B+ shy

bullbull

1- 1 10

1 ~ -- - 1- _ 1

-~ t

-1 1-~z

aot 1

LIe 0 A (z)= -shy1-10z 3 n

qn = (~o1l) 1011 shy

1


lufJ t (J v Av L


~= A ~ =3 ~(2Y-l )al1t1 =-20 l


UiJ 71-] W U ~ n ~ 71 lIo i Y4fr 14 ~

~ C(I () Z (~)

-

r~o

r

omiddot 0 ~ oj 0

~

lt- Of-dlaquo -


C ~tl) ~ c (~-41) = t~-4~ (1 +) i () I

DMath Notes Part1


bullbull

1- 1 10

1 ~ -- - 1- _ 1

-~ t

-1 1-~z

aot 1

LIe 0 A (z)= -shy1-10z 3 n

qn = (~o1l) 1011 shy

1


lufJ t (J v Av L


~= A ~ =3 ~(2Y-l )al1t1 =-20 l


UiJ 71-] W U ~ n ~ 71 lIo i Y4fr 14 ~

~ C(I () Z (~)

-

r~o

r

omiddot 0 ~ oj 0

~

lt- Of-dlaquo -


C ~tl) ~ c (~-41) = t~-4~ (1 +) i () I

DMath Notes Part1


r~o

r

omiddot 0 ~ oj 0

~

lt- Of-dlaquo -


C ~tl) ~ c (~-41) = t~-4~ (1 +) i () I

DMath Notes Part1


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