- 1 - 8

:

: -I . =x x f) (2: f : 1

:

f2 ,1) (] [ 9 f1,1) (] [ 9 f0,2) (] [ 9

: - 2

Cf) ( . 9 .\ \ 9 .=M m b a f, ,] [ ) (] [ 9

=x f xaM Mb a x,) ( ] [ =x f niM mb a x,) ( ] [

: : \

f I I f) ( b a,] [ b f a f) ( ,) (] [

) ( mil ,) (b x

x f a f b a,[ [

) ( ,) ( mila x

+b f x f b a,] ]

) ( mil ,) (x

+x f a f + a,[ [

) ( mil ,) ( mila xx

+ +x f x f

+ a,[ ]

f

I

b a,] [ a f b f) ( ,) (] [) ( ,) ( milb x

a f x f b a,[ [

) ( mil ,) (a x

+x f b f b a,] ]

) ( ,) ( milx

+a f x f + a,[ [

) ( mil ,) ( mila x x

++x f x f

+ a,[ ]

f

I

- 2 - 8

) (3: : 2

x fxx . =

.2 ,[ ] +,2[ ]: f .1 .4 ,3] [ +,3[ [ +,2[ ] : f .2

:R -II

: .1 :1

.=x x g) (2: 2;5,0] [ g .g2;5,0) (] [ 1 : 2

.=x g y) (: 2;5,0] [ x g y : x 4;52 ,0] [ y Cg) ( :

2;5,0] [ g .2;5,0] [ g .4;52,0] [

.=x x h) (2: 2 ,1] [ h :2 . h2,1) (] [ -1

: -2 -3

.B A f B A :

f A x B y B A f = x f y A x B y/ ! ;) ( :

- 3 - 8

.4;52 ,0] [ 2;5,0] [ =x x f) (2) ( 1-II 1 :

: .3 + =x x x f3 2 ) (2: = I2 ,1] [ f :1

. J I f -1 y x . f y I x J y -2

: . = = + = x x x x x f1 2 2 2 3 2 2) ( ) ( ) (: . I x -1 : .> > < x f x x x0 0 1 2 1 2 ,1) ( ] ]

f . = f0 1) ( 1 I > f0 : I f . I .= = = =f f f I f J3,2 )2( ,)1( 2,1] [ ] [ ) (] [ ) ( I f

: f y I x J y -2

2

2

2

3 2 ) (2 )1 (

2 )1 (

x x y x f yx yy x

+ = =+ = =

= y x2 1 = y x2 1 = y x2 1 ( x x0 1 1: )

+ = y x2 1 t = I2 ,1] [ = J3,2] [

f +t2 1 J : f1

1] [ ] [1

2,1 3,2 :

2 1 ) (

I J f

x x f x

= =

6 + = : :

- 4 - 8

f Df I f : .=I f J) ( I

I y J x I J . f1 f =y f x) (:

: : . I y J x J I f

= =y f x x f y1) ( ) ( : . =I f J) ( I f :

.= x x f f) ( 1) ( :I x 9 .= x x f f) (1) ( : J x 9

) (: = I4 ,3] [ g :2 2

x gxx

= . J I g -1 . g1 -2

.GJ Gj i O, ,) ( C g1) ( Cg) ( -3 .1 :1 . =x g y1) (: = I y4 ,3] [ = J x3,2] [ . :2

:

) ( ) (1

2)2 (

22 )1 (

y g x x g yxy

yy y xy x yxx x y

= = = = = =

2 ( x x1 3,2] [: ) 1

yxx

=

: 1] [ ] [

1

4,3 3,2 :) (2

1

I J gx g xx

x

= =6 =

: D If) ( I f : .=I f J) ( I f 9 .f =I f J) ( f1 9 .GJ Gj i O, ,) ( Cf1) ( Cf) ( 9

: -III

- 5 - 8

: 1

:

) (: f 2

2 25 4

x fxx x

+ = .f3) ( f2) ( -1

.3,2] [ + = x f2 1 ) ( : -2 : -2

. b f) ( a f) ( 0 < b f a f0 ) ( ) ( b a,] [ f

.= f0 ) (: b a,[ ] :

< b f a f0 ) ( ) ( b a,] [ f .b a,[ ] = x f0 ) (

. + =x x x f1 .21 12 2 ) (: f :2 ,1 1 = x f0 ) (

2 4 .

: < b f a f0 ) ( ) ( b a,] [ f .b a,[ ] = x f0 ) (

. =x x f2 3 ) (: f :3 . 2 ,1] [ = x f0 ) (

: -VI : n1) ( . n -A

.\+ a : .=a b3: \+ b \+ a

a 3 a 3 b

\ \= = + +a b a b b a, ,3 3: . =a b3

.521 3 46 3 72 3 8 3: : . \+ 6x x3 9

: . \+ \+

k b a,] [ f .=k c f) (: b a,] [ c b f) ( a f) (

- 6 - 8

3

3

:x x

\ \+ +6

. n1 : .1 b . =a bn: \+ b . \+ a 9

: .=a bn: a n a n \ \= = + +a b a b b an n , , : 9 .\+ \+ \+ 6x xn 9

: n:

x xn

\ \+ +6

.215 3 46 6 61 4: :

.=a a nn) ( : \+ a - i : . 2 .=a a nn : \+ a - ii

.\+ n - iii n mil - vi

x .+ = +x

: . `* n : . 3 .= =b a b an n: \+ b \+ a 9 .<

- 7 - 8

. f .b . + f .c

: :2 3 3

2

mil2x2

xx

4 4

2

mil2x2

xx .

: . 6

q p rp; /* : _* r > a0 : .iq

.` ] =

r ar ap q ar 9 .a

.= ar1: = r0 9 :

. 00 95 . 03

ap q . ` q* ] p 9p aq

p .=a aq p q

1: . ) ] _ r 97

(.= r .> x f0 ) ( \ x f) ( x fr) ( .> x f0 ) ( \ x f) ( x f71) ( :

: . _ r r \+* b a : .ii) (

) (: . . :

: . : . .1

: . :

r r r r rr rr

r r rrr

r rrr r

r r

i a a a vi a a

ii a v ba b aa

iii a iva a aa b b

+

= == = = =

: : 352) (3

2 8 .4

4 .= A

: :

= = =a x x f b x x f c x x f: 5 . : 5 . : 533 32 2 2) ( ) ( ) ( ) ( ) ( ) ( . = B5 7 44) (: :

:natcrA -B

: ) (

, :2 2

nat

f

x x

\ 6

, f 2 2

.\ = I f) ( I f: . = I) ( ) (

2 2

nat mil ; nat milx x

x x +

+ = =

- 8 - 8

: . 1

, 6x xnat) ( 2 2 .\

: . crAnat ) (

, : nat2 2nat

crA

x crA x

\ 6

: . 2

nat1 : :1 3

.crA0 nat) ( crA3 nat) ( crAnat71 :2

4 .crA1 nat) (

: . 3 .=x x crAnat nat) () (: \ x .a, x .b

2 2 .=x x crAnat nat) () (:

.\ crAnat .cnat mil nat mil;) ( ) ( .d

x x2 2 .= =+ x crA x crA

nat nat ; nat nat6002: : 3 5

. = crA crA A \ = x crA x crA xnat nat :) ( ) ( : crAnat : . 4

, y \ x2 2 :

= =y x x crA ynat nat) ( ) (