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  • .1

    .

    .

    .

    . + = + b ua un n1

    .

    - .I

    .II

    .III

    .VI

    a0) ( + = + b ua un n1: .V .IV

    (+) .IIV

    ( + ) .IIIV

    ( ) .XI

  • :

    .

    " "

    " "

    .

    " "

    .

    : .

    "....

    .

    ".

    :

    2

    2 1 1

    )1 (n n n

    i i i

    i i i i = = =

    - + =

    . 4711

  • : - .I

    031A

    5002 . %2B

    . 0006BA

    vn A un

    . + n 5002 B

    .v1u1 v0u0 (1

    un) ( .un + un1 (2.r

    .nun (3

    vn) ( .vn + vn1 (4.q

    .nvn (5

    .0102 BA (6

    .5002 0006 (1

    = v0006 0 = u0006 0

    .6002 + 1 5002 v1u1

    (. 031 ) = + = u0316 031 0006 1:

  • 12

    0216 20,1 0006 )20,0 1( 0006 0006 0006001

    = = + = + = v

    (. %2 )

    un + n 5002 A (2

    : 031

    + = + u un n031 1

    . = r031 un) ( . + = n un031 0006n (3

    vn + n 5002 B (4

    = + v vn n20,1 1: %2

    . = q20,1 vn) ( . = vnn 20,1 0006) ( n (5: (6

    . v4266 5 = u0566 5

    .1

    1

    : 2 + = n un7 2un) (

    . + = + u un n2 1 = - + u un n2 1 + + = + n un7 )1 (2 1

    ( r)r un) (

    . + = + r u un n1:n

  • unu0 run) (

    . + = rn u un0:

    . = u7 0 u0

    2

    = v71 0 5 vn) (

    = + = + = r v v72 5 22 1 2 = + = + = v v22 5 71 5 0 1:

    ... = + = + = r v v23 5 72 2 3

    . - + = r n u un1 1) ( u1 :

    ( )1

    r un) (

    - + = r p n u up n) ( :pn

    - = u5 2 4 un) (

    . - + = r p n u up n) ( u02 . = + - = - + = r u u76 4 81 5 2 02 2 02) ( : = p2 = n02

  • .un u0 un) (

    + + + + = - u u u u Sn n ........1 1 0: S

    - 2 )1 ( ........0 1 1 0: + = + + + + =

    +n n

    n u u u u Snu u

    n+ 1) (

    :

    = S( )

    1

    + + + + = n S... 3 2 1 S

    .1 1

    : n 1

    ... 3 2 12n

    n n S = + + + + = +

    2

    . = u5 0 u0 3 un) (

    + + + = u u u S...02 1 0 S

    : ( + 1 02 ) 12

    02 1 002 ) (5

    1 02 ...2u

    u u u S +

    + = + + + =

    : = + = r u u56 02 0 0256 5

    537 122

    S +

    . = =

    +

    2

  • . + - = n un2 3: * un) ( .u2u1(1

    .r un) ( (2 . + + + = u u u Sn ........ 2 1: n (3

    . - = + - = u1 2 )1(3 1 - = + - = u4 2 )2(3 0(1

    un) ( : (2

    .r - + u un n1 n

    n

    . - = + - - + + - = - + n n u un n3 2 3 2 1 3 1] [ ) (

    . - = r3 un) (

    .n (3

    2 3 1 1: 2 2

    n n Sn u un + - - +

    = =

    3 1) ( : 2

    n n S

    - . =

    2

    cba

    . = + b c a2

    .ca b

  • 970614

    . = + 06 2 14 97:

    .2

    1

    3 5,0un) (n

    : 3 = un

    . = = + + unn n3 3 5,0 3 5,0 11) ( . = + u un n3 1

    2

    u0 5,1 un) (

    : = u21 0

    = = = q u u72 5,1 81 1 2 = = = q u u81 5,1 21 0 1

    ... . = = = q u u5,04 5,1 72 2 3

    unu0 qun) (

    0: n

    . = q u un

    ( q)q un) (

    = + q u un n1:n

  • u1 1

    1n

    q u un . = -

    :

    1

    q un) (

    . = - q u up np n: pn

    . = u3 4 5,1 un) (

    = p4 = n01 u01

    . = = = - q u u291 2 3 4 016 4 01: = - q u up np n

    n+ 1) (

    :

    . = S( )

    . = u5,0 1 3 un) (

    :

    1-

    1-

    : 1 q un) ( 1

    0 1 1 0

    1........

    1

    n

    n n

    qu u u u u S

    q

    +

    -

    - - = + + + + =

  • 1 01 1

    1........

    1

    qnu u u S

    q -

    - = + + =

    . ( = n01S )

    3 101

    26741 5,03 1

    S -

    = = - .

    + = + + + + = - u n u u u u Sn n1 ........0 1 1 0) ( : = q1

    2

    cba

    b . = b c a2:

    .ca

    215652821

    = = 652 635 56 215 8212:

    1

    = v3 1 * vn) (. = q2

    .v3v2 (1

    .vn n (2

    . + + + = v v v Sn ........ 2 1 n (3

  • . = = = q v v21 2 6 2 3 = = = q v v6 2 3 1 2(1

    2 3 11 1(2n n

    q v vn. = = - -

    .n (3

    1 2 11

    ........1

    n

    nq

    v v v v S q

    - = + + + =

    - .

    1 2 3 2 1 3 32 1) ( ) ( 2 1

    n Sn n

    - - = - - = =

    -

    2

    03635002 0003

    .7002

    . a

    . a (1

    0302 (2

    .

    :

    . + = a q1

    a (1

    :

  • + un1 + n 5002 un . + + n)1 ( 5002

    . = u0363 2 = u0003 0

    + un1un a

    . + = + a u un n1 1) ( . + = + a u u un n n1 + = a q1 un) ( . = u0003 0 u0

    + 0 5002u0

    + 1 5002u1

    + 2 5002u2

    = q u u0 22 2 2

    0

    uq

    u . =

    . = = a %01 1,0 . = q1,1 = q12,1 2:

    0302 (2

    . + = 52 5002 0302

    . = q u u0 5252

    . u21,40523 52 = u1,1 0003 5252) (

    : = u40523 52

    0302 00523

    . 40523

  • : .II

    : n un) (1

    n3 2n

    u n

    + =

    +

    (1

    .

    n012345678...

    un

    .un) ( (2

    1 (3n3

    1 - un2

    . - u

    ) ( : + f (41

    3 2x

    x f x

    + =

    +

    .f (5

    un n (1

    :

  • 0

    1,0

    2,0

    3,0

    4,0

    5,0

    6,0

    61 41 21 01 8 6 4 2 0

    . un) ( (2

    0(31n3

    1 < 0 - un2

    1: - u 2

    1 un2 >

    .2 un) (

    M .un) ( 5

    . 5

  • :un) ( un) (. + u un n1n .1

    . + u un n1n .2

    . = + u un n1n .3

    . un) ( .4

    .un) ( 2

    . 2 m

    .II

    0

    un n n) (

    . n n0 n

    .

    un) ( . 1

    2

    n

    un - = .

    k un) ( . = k unn

    1

    : un) ( 2

    2

    1 2n4

    nu

    n +

    = +.

  • .2 un) (

    )M un) (

    : (m

    . ( - m un ) - M un

    = n f un) ( +0[ [ f

    : - un2

    2 2 2

    2 2 2

    7 8 2 1 2 1 22 2

    n4 4 4n n n

    u n n n

    - - - + + = = - = -

    + + +

    2

    7 n4

    - +:n

    2

    70

    n4 -

    < + .

    . < un2 . < - un0 2:n

    .2 un) (

    2

    : * un) ( 9 2

    n

    n nu

    n + +

    . =

    .7 un) (

    ) ( : 2

    3n7

    nu

    n -

    = -

    . un7 . - un0 7 * n

  • .7 un) (

    3

    : un) ( 1 2

    n3n

    u n

    - =

    + .

    : un) (

    . - + u un n1

    n1 n

    u u

    + . 1

    = n f un) ( +0[ [ f

    f = n f un) (

    1 2 ) ( : +0[ [ 3

    xx f

    x -

    = + .

    : +,0[ [ f

    2 2 ) (7 )1()1 2( )3 (2

    ')3 ( )3 (

    x xx f

    x x - - +

    = = + +

    . > x f0 ) ( +0[ [ x . +0[ [ f. un) (

  • 4

    : * un) ( 1 2 5 3 1

    ...n2 6 4 2

    nu

    n -

    =

    .

    n1 n

    u u

    + .1

    n1 n

    u u

    +

    ) ( ) ( ) ( ) (

    ) (1

    1 1 2 1 2 ... 5 3 1

    1 2 2 ... 6 4 2

    1 2 ... 5 3 1

    2 ... 6 4 2

    n

    n

    n n

    un nun n

    +

    - + -

    + =

    -

    ) ( : ) (

    11 2 1 1 22 2 1 2

    n

    n

    n un n n u

    = = + - + + + + .

    1 1 2 + < + n n2 2 1 2 2 2n n

    + 016 1 n

    0 016nU n3 1

    1,2 013333330,2 0320,2 0510,2 001200,2 005100,2 00011000,2 0000110000,2 000001100000,2 60+E1

    601+2

    2nu

    n 601

  • = l2 un

    . n

    : = l2 un) ( . = + u nn2 mil

    .1

    : n un) ( 1

    n un3 .3 - =

    1 )n (0

    : - n1) ( . - 11

    01 16+ E60 1

    un) ( un

    n l

    un) ( + n lun) (

    . = + l u nn mil: .l

  • .

    n f un= ) ( .2 ( )

    .

    1

    3 3 mil + n n

    = - 3 3 mil1

    + x x = - .

    .3

    .n f) ( . + f

    2

    . + - a

    n un) (

    . +0[ [ f = n f un) () ( mil

    x a x f

    + . = + a u nn mil =

    :r un) (. + = + u nn mil r > 0 .1

    . - = + u nn mil r < 0 .2

    . = + u u nn mil0 un) ( = r0 .3

  • a + u xr x f:0 . + = r u un0

    : . +0[ [mil) ( r > 0 -

    x x f

    + r < 0 + =

    mil) (x

    x f +

    . - =

    = u un0n = r0 -

    = + u u nn mil0

    3

    0n

    :0 . = q u un . aq u x fx

    x mil n

    q +

    x0 mil q >1 + =n

    q +

    =

    .0 < q < 1

    un) ( = = u u unn10 0n = q1 . = + u u nn mil0

    :q > 0 un) ( : q >1 -

    .u0 > 0 + = + u nn mil

    .u0 < 0 - = + u nn mil

    . = + u nn0 mil 0< q < 1 -

  • .4

    ( )4

    .

    un) (

    . - = unn 1) (

    1

    : un) ( 1

    3n n2

    : n + - = u

    1 1: *1

    n n n2 > - + u un n0 1 = - + + u u

    0 1: 2 * n2

    3 3 1 < - n2

    < + -

    < un3

    un) ( 1

    0 mil +nn2

    = - .0

    2

    vn) ( 1

    5n n3

    : + = v

    5

    .5

    .1

    .2

  • 1

    : n un) ( 2

    2

    1 5 2n5

    n nu

    n + -

    = +

    . un) (

    f = n f un) (

    ) ( : +0[ [ 2

    2

    1 5 25

    x xx f

    x + -

    = + .

    ) ( 2

    2

    22 mil mil

    x x

    xx f

    + + xn2 mil = =

    n u

    + . =

    .2 un) (

    2

    un) ( 1

    2n2

    n u n

    + = + n

    +0[ [ f = n f un) (

    21 ) ( : 2

    x x f x

    + = + .

    0 mil1 + x x2

    = +2 mil

    x x

    + . + =

    mil) ( x

    x f +

    + = .

    n miln

    u +

    . un) ( : . + =

  • 3

    un) (23

    . = u2 0 = q

    . + + + = u u u Sn n... 1 0:n

    .un) ( nun .1

    .Sn nSn .2

    0n .12

    23

    nn

    q u un = = .

    1 02 3

    0 mil2 < b0 - = + u nn mil < b0

    1 a:

    - + u un n1 un) ( .n

    + - + = - - + b ua b ua u un n n n1 1) ( ) ( n

    . - = - - + u u a u un n n n1 1) (

    :

  • f = + u f un n1) ( un) ( un) (

    . = u u0 1 < u u0 1 > u u0 1

    :

    - = - + u u a u un nn0 1 1) (

    un) ( f > a0 - .un) ( - u u0 1 an f < a0 -

    . - + u un n1

    . un) (

    vn) ( un) (

    : nn n1b

    u v a

    - = - .

    - = - - + u u a u un n n n1 1) ( - = - - - - u u a u un n n n2 1 1) ( - = - - - - - u u a u un n n n3 2 2 1) (...

    ...

    ...

    - = - u u a u u1 2 2 3) (- = - u u a u u0 1 1 2) (

  • n

    n n n n n n1 1 1 1 1 1b ba b b

    va u a ua b ua u v + + a a a a

    - - - - = - = - = - + = - =

    .v0 a vn) ( . = a v vnn 0n

    n n1b

    v u a

    + = -1 0

    nn

    ba v u

    a + =

    - .

    n0 mil < < - a1 1 -n

    a +

    mil =nn1b

    u + a

    = - .

    1 un) ( b - a .

    n mil > a1 -n

    a +

    + = + u nn mil + =

    .v0 - = + u nn mil

    . an) ( - a1 - . un) (

    . - a1 > a1 un) (

    : = a u0 un) (

    1

    12

    n n3. + = + u u

    . = a 3 .1

    un) ( .u3u2u1 ( .

  • un) ( ( vn) ( = a 2 .2 . - = u vn n3: n

    vn) ( ( .

    .nun nvn (

    . un) ( ( .un) ( ( .un) ( . = a 6 .3

    . = u3 0: = a 3 .1

    . = u3 3 = u3 2 = u3 1: (

    . un) ( . = un3n

    . = u3 0 = n0 :

    n0 :

    . + n1

    = + un3 1 ( ) = un3

    11

    2n n3

    . + = + u u

    11

    3 2 3n3

    . + n1 . = + = + u

  • :

    . un) ( .n .3 un) ( (

    = u2 0: = a 2 .2

    1 1) ( ( 1 1 1

    3 1 3 2 3n n n n n3 3 3

    - = - = - + = - = + + u u u u v

    11n n3

    . = + v v

    vn) ( 13

    = q

    . - = u v3 0 0) ( - = v1 0

    0 n ( 1

    3

    nn

    q v vn - = = .

    + = v un n3 1

    33

    n

    un + - = .

    1 11 ( 3

    0 mil1 < < -3

    n

    +n

    = . = + u nn3 mil

    .3 un) (

    = + u f un n1) ( ( 1

    2 :3

    . a + x x f

    0 1 3

    0 1> - u u0 0 1 >23

    = - u u . un) (

    . = u6 0: = a 6 .3

    0 1 3

    - = - u u2 0 1) ( < - u u0 0 1 >

    . un) (

  • : .IV

    un) ( .1:r un) ( *

    . + = + u nn mil r > 0 .1

    . - = + u nn mil r < 0 .2

    . = + u u nn mil0 un) ( = r0 .3

    :q > 0 un) ( * : q >1 -

    .u0 > 0 + = + u nn mil

    .u0 < 0 - = + u nn mil

    . = + u nn0 mil 0< q < 1 -

    . = + u u nn mil0 un) ( = q1 -

    . *

    . *

    .2

    n P) ( * :

    . -

    -

    .

  • *

    . P0) ( .1

    n n P) ( .2

    . +n1 n P) (

    .3

    - + u un n1 *

    :

    . *

    .4

    .1

    .

    .2

    .

    - q11] ] q .3

    .0

  • : .IIV

    . ( 21 ) :

    . 000 001 5002

    %3 .1

    + n 5002 un

    . n

    .u2u1 u0 (

    . = + u un n30,1 1n (

    .un) ( .unn (

    0102 (

    (. ) 5202

    (

    000 002

    .2

    0005

    .

  • + n 5002 vn

    . n

    .v2v1 v0 (

    .vn) ( .vn + vn1 ( .nun (

    0102 (

    (. ) 5202

    000 002 (

    .1 .5002 + 0 5002 u0(

    . = u000001 0

    .%3

    13

    000301 30,1 000001 000001 000001001

    = = + = u

    . = u090601 2:

    + n 5002 un (

    + un1 n

    : + + n)1 ( 5002

    1) (3

    30,1 30,0 1n n n n n001

    = + = + = + u u u u u

    .%3

  • 30,1 un) (

    . = u000001 0

    u0 qun) ( (

    0: unn

    . = q u un

    . = unn 30,1 000001) (

    : (

    : 0102

    . = u729511 30,1 000001 55) ( : 5202

    . = u116081 30,1 000001 0202) ( .

    n (

    .

    000 002

    .9202 + 42 5002

    247,697551 51446,074061 61367,482561 71603,342071 81506,053571 91321,116081 02754,920681 12143,016191 22156,853791 32114,972302 42397,773902 52721,956512 62

  • .2 .000001 5002 v0(

    . 0005

    . = v000011 2 = v000501 1

    + n 5002 vn (

    + vn1 n

    : + + n)1 ( 5002

    + = + v vn n0005 1

    0005 vn) (

    . = v000001 0

    rvn) ( (

    . + = rn v vn0: vnv0

    . + = n vn0005 000001n

    : (

    : 0102

    . = + = v000521 5 0005 000001 5

    : 5202

    = + = v000002 02 0005 000001 02

    000 002 (

    .5202

  • : un) (

    . + = + u un n1 2 1n = u0 0

    un

    : .1

    .0 1

    . 0B2

    . + = B1 2 *2:C2

    . C2

    + un1 + = B1 2:B3

    . + un1

    . B3

    .nun n + un1 .2

    :

    .nun :

    : n vn) ( . + = u vn n1

  • . vn) ( .1.nun nvn .2

    . .3

    : .1

    1 2 .2

    n2

    - = unn1 2 = + unn2 1 + un1) (

    . = - = - = u0 1 1 1 2 00 = n0

    . = n0

    . + n1 n

    - = unn1 21

    1 2 1n

    un +

    - = +

    + = + u un n1 2 1

    + - = + = + u un nn1 )1 2(2 1 2 1: un

    1 2 1 2 2 2 1 )1 2(2 11n n n

    un +

    - = + - = + - = +

    . + n1

    . - = unn1 2n

  • . + = u vn n1: n vn) ( n :

    = + = + + = + = + + v u u u vn n n n n2 1 2 1 )1 2( 1 1 1) ( . = + = u v1 1 0 0 2 vn) ( . = vnn2nvn

    - = v un n1 nun

    . - = unn1 2n

    : un) (

    . - = + u un n01 3 1n = u6 0

    .1

    :

    .nun n - un5 .2

    . .3

    : .101 9 8 7 6 5 4 3 2 1 0 n45095 88691 6656 2912 437 842 68 23 41 8 6 nu94095 38691 1656 7812 927 342 18 72 9 3 1 5nu

  • 3 - un5 .2

    . = - unn3 5n :

    . + = unn5 3n :

    :

    . = + = + = u6 5 1 5 3 00 = n0

    . = n0

    . + n1 n

    . - = + u un n01 3 1

    :

    + = - + = - + = + + + unn n n5 3 01 51 3 01 5 3 3 11 1 ) ( . + n1

    . + = unn5 3n

    . - = u vn n5: n vn) ( n :

    = - = - = - = + + v u u u vn n n n n3 5 3 51 3 5 1 1) ( 3 vn) (

    . = - = - = u v1 5 6 5 0 0

    nun . = vnn3nvn

    . + = unn5 3n :

  • .

    . - 5u= 07 0 un) ( .1

    .u u u S+ + + = ...31 1 0

    wn) ( vn) ( .r un) ( .2: n

    . + = u wn n3 2 - = u vn n1 3

    . wn) ( vn) (

    + 0[ [ f .3 :

    03+x

    3 - 10

    x f) (

    . = n f un) ( un) (

    .u0 (

    . un) ( (

  • C f + 0[ [ f.4 .

    . = n f un) ( un) ( :

    .u0 (

    . un) ( (

    . - = x x x f2 2 ) ( : + 0[ [ f .5 . = n f un) ( un) ( .f (

    . un) ( ( un) ( (

    : * un) ( .612

    n

    nu

    n -

    =

    .un) ( - + u un n1 (1

    1 0

    1

    x

    y

    C f

  • f . = n f un) ( f (2.

    2: * un) ( .7n4

    n un=

    n1 (1n

    u u

    +.

    . un) ( (2

    . = unn n2 3: un) ( .8

    2n (13

    n

    un = .

    . un) ( (2

    : * un) ( .91 1

    n1u

    n n - =

    +

    .un) ( ( .1 .un (

    un) ( ( . + S nn mil nSn . + + + = u u u Sn n... 2 1 .2

    n .01... 3 2 11 2 1 2 2 2 2) () (

    6n n n

    n + +

    = + + + +

  • : un) ( .11

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    - n1 23n .21

    .7

    AD0050002 .31

    AD05

    .

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    .2002 6,25

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    . mc4 mc1

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    un) ( ( .20 un) ( .2

  • : un) ( u3u2,u1 .02

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    .2

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  • n2

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    n n n n n n Sn

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    : un) ( .72

    . + = + u un n2 1n = u1 0

    . un2 0n (1

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    1

    1

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    n miln

    S + n.

    . %08 .03

    . %5,2 %3

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    . C0 ( .1

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    (. = n2)C2y2 (

    ynCn . = y Cn nn579,0 8,0 ( .2

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    . %3 %3

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    = S5.1

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    - = + - - = - + + + u u u u v vn n n n n n3 1 3 1 31 1 1) ( .r un) ( = - + r v vn n3 1 .r3 vn) ( n

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    .r2 wn) (

    = = f u0 0 0) ( ( .3 x :3 un) ( ( . x f3 ) ( +0[ [

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  • ( .5

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    4 -x5 2 2 ( +3[ [ x)

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    .91

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    . un) ( (

  • un) ( .2 .20

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    .. . - = - - = u52 ,5 5,1 5,1 5,2 2) ( . un) ( = - = u1 5,1 1 5,2 1: = = a u1 0 (

    ... = - = u1 5,1 1 5,2 2

    . un) ( = - = u5,3 5,1 2 5,2 1: = = a u2 0 (

    ... = - = u52 ,7 5,1 5,3 5,2 2

    . un) (

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    : un) ( .223

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    n

    n un =

    +.

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  • n1 1> 0: (3n

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    .32

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    . n1

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    .42

    2 = u0002 1( .14

    0802 1 0002001

    = + = u = u2,3612 1

    . = u827,9422 4

    unn 40,1 00021 ) ( n1 ( -

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    . 829,2948( .2

    000240,1 1( 40,1 1

    n

    pn -

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    . = n81(

  • . n + + + + = n Sn... 3 2 12 2 2 2 .52

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    .2

    1 2 1) () (n6

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    1) () ( = n1 3 2 1 1 2 1 1 1

    16 6

    S + +

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    . = s1 1

    . = n1

    n

    . + n1

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    12) ( ) () ( : 1 2 1

    1n6

    n n n + n s

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    . + n1

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    ) () () ( ) () (

    ) ( ) ( ) (

    2

    1

    3 2 2 1 6 7 2 1

    6 6

    1 1 2 1 1 1

    6

    n

    n n n n n ns

    n n n

    +

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    = + + + + +

  • = S1 2 = n2 .621 2 1 2 112

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    :

    11) ( ) (1 1 1

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    n n n n n n Sn

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    12 2 1 1

    2

    n nn

    n n

    n n S

    n n

    - - +

    -

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    ( )

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    11

    1

    1

    12 2 1 1

    2

    12 1 2 1

    2

    2 2 2 1

    2 1 1

    n nn

    n

    n

    n

    n n S

    n n

    n

    n

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    -

    -

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    . + n1

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    2 1 1 1 2 2 11 1 ) (2

    n n n n n n Sn

    - + = + - - = -

  • .72

    . un2 0n (1

    . u2 00 . = u1 0

    . + un2 01 un2 0

    . +0[ [ ax x . + + un2 2 2 2:

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    . un2 0n

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    ax x - u un n1

    . +0[ [ . + + - u un n2 2 1

    . + u un n1

    . un) (

  • + = + b ua un n1:

    0(1.8212

    - = u

    n ( (2

    ) (

    ) (

    1 21 1

    11 1 2

    3

    2 21

    3 31 1 1 2

    1 23 3 3 3

    n n

    n

    n

    n n n

    u v

    u

    u

    v u u

    + = + +

    + - =

    + - =

    = + = + =

    : vn) ( 13 . = v9 0

    91n ( 3

    n

    vn = 1 1 9

    2 3 2

    n

    un + - =

    mil1( nn2

    u +

    . =

    .92

    : (1

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    3 - = u34

    . - = u

    . + = + + a u vn n1 1: ( (2

    1 11

    2n

    n n

    u + + a a u v

    - . + = + =

    1: 1

    2n

    n

    v v

    a +

    + -. =

  • . = a 1 vn) (

    1n 1n n2

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    nvn (

    1 2 : = + = a u v2 0 0

    21n 2

    n

    vn =

    :nun

    1 21n 2

    n

    un - = .

    n1 un) ( (3n

    u u

    + .1

    . un) ( . + u un n1:

    (41

    1 1 2 mil mil2

    n

    n nn u

    + +

    - = - =

    Sn (5

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    11

    12

    1 21

    12

    n

    n Sn

    - + + - =

    -

    .

    n1 mil n

    S + n

    . - =

  • : .IIIV

    .

    . (1

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    1( n1

    u n

    = + .

    2( 3

    n

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    2 1 = u4 0( n

    n

    u= + u

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    1( n2

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    (3

    .

    = u41 0: vn) ( un) (

  • + = + u un n3 4 1n

    + = u vn n1

    4 vn) ( ( 4 un) ( ( vn) ( ( . un) ( (

    .

    . (1

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    . (

    3 + = + u nn mil ( - un

    .

    . (

    . (

    . (2

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    u n

    - =

    + .

    . un) ( (

  • . un) ( (

    . un) ( (

    .2 un) ( (

    1 ( un

    .

    : un) ( (

    = n f un) (3 2

    ) (1

    xx f

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    = +

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    . (1

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    . (3

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    .....(1

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  • : .XI

    . 1

    AD00001 10021

    %5

    (. ) AD0051

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    . - = + 0051 u50, 1 un 1 nn .2

    .un) ( .3 . - = u vn n00003n .4

    vn) ( ( .

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    = u00009 1 = u00001 0.1

    .3002 u2

    1 1 2

    50051

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    2 52,0

    5,0

  • 1.25

    0051 00001n n001

    - + = + u u

    . - = + 0051 u50, 1 un 1 n

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    . - = 0051 x 50, 1 x f) (

    . un) ( f. un) ( < - u u0 0 1

    .4

    - = - = + + u u vn n n00513 50,1 00003 1 1(

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    . - = v00002 0

    50,1 01 2 04) ( ( nn

    . - = = q v vn

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    . + - = unn01 3 50,1 01 24 4) (. - = un mil

    . - = u7201 9 = u98,045 8 .5

    10 /10 / 0102 u9

    .0102

    5,0

    57,0

    57,0

    1

    1

  • . 2

    . 0051 5002

    %01

    .

    . 001

    un n

    . + n 5002

    .

    . 0541 6002/10/10 .1

    . un) ( .2

    . + = + u un n001 9,0 1n .3

    vn) ( n .4. - = u vn n0001

    . = vnn 9,0 005) ( n .5. - = unn0001 9,0 005) ( n .6. .7

    .005 .8

  • .u0 u1 .1

    . .2

    .32 .3

    .vn + vn1 .4

    . .5

    vn un .6

    . - = u vn n0001

    .un) ( .7. un) ( .8