bashy 4....1.pdf

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  • 1

    .)( 0 = )( = *

    . ))( , ( )( = *

    . ( ))( + = )( *

    . ( ) )( = )( **

    )( (..) (..) )( 0 = )( *

    . )( **

    * (..) . ( )

    + )( :

    * (..) . ( )

    + )(:

    ( ) . )( )( *

    . ( ) )( )( *

    3 3 = )( 2 021P 2

    ]1,0[ [+ ,1] ]0 ,]

    x + 1 0 )( + 0 0 +

    01

    2 )x(f

    3 23 = )( 0=)( 1 = 0 = 0 = )1 (3 0 = 3 23

    3 3)1( = )1( , 0 = )0( 2 = 2)1(

    1

    2 ,1( , )0,0(

    1

    2 )

    . )0,0(

    ,1(1

    2 .. . )

    .

  • 2

    1 = )( 3 3

    3

    2 2

    9

    2 021P

    ]3,0[ [+ ,3] ]0 ,]

    121P ]1,1[ , || = )( .-

    ]2,0[ , nis = )( .-

    221p . || = )(

    . . )0,0(

    3 2 = )( 0=)( 3 = 0 = 0 = )3 ( 0 = 3 2

    9 = )0( 29 ,0( 9 = )3( ,

    2 )9 ,3( , )

    9 ,0(2 . )

    .. . )9 ,3(

    )0,0( . . 0=)( )0(

    soc = )(

    0=)( = 0 = soc

    2=

    32

    ( 2nis = )

    23( , 1 =

    2nis = )

    3

    2( 1 =

    2( , )1 ,

    3

    2 )1 ,

    (3

    2( . )1 ,

    2 . )1 ,

    { = )(0 10 < 1

    0=)( )0,0( )0(

    ]0 ,]

    [+ ,0]

  • 3

    [ 9 = )9+2(2

    6= ]

    )9+2(9

    4 0=)( 0 = )9 + 2(9

    3 9 = 2 0 = 9 + 2

    = )3( )39(9

    72=6

    3= )3( , 2 =

    )39(9

    72=

    6

    3 )2,3( , )2,3( 2 =

    )0( , )0(

    [ 9 = )()23()3 2( )2(3

    6[ 9 = ]

    29 + 43 42

    6[ 9 = ]

    29 + 4

    6 ]

    (9 = )( )32

    3 221p .

    1 = )( 2 . [2,0] nis

    2 - ) (1 12 3 2 3

    x x x x f

    . 2,3-

    [+,3] [3,] [3,0] [0,3]

    )2,3( .. )2,3( . .

    = )(1

    2 soc

    0=)( =

    1

    2= soc 0 = soc

    1

    2=

    3=

    5

    3

    (

    3= )

    1

    2(

    3nis )

    3=

    63

    2=

    33

    6( ,

    5

    3= )

    1

    2(5

    3nis )

    5

    3=5

    63

    2=

    335

    6

    ( 3, 33

    6 ( , )

    5

    3, 335

    6 )

    ( . . 3, 33

    65 ( .. )

    3, 335

    6 )

    .

  • 4

    = )( 2

    4+2

    )0 ,0( 0 = )0(

    = )()2(2 2)4 + 2(

    2)4 + 2(=32 8 + 32

    2)4 + 2(=

    8

    2)4 + 2( 0 = 0 = 8 0 =

    soc = )(

    4[ ,

    2, 3

    2 ]

    4 = 0 =

    ) 1 , ( .. )1 , 0 ( . . . :

    = )(

    4nis

    4 0 =

    4nis

    4nis 0 =

    4 0 =

    4 0 =

    4 =

    3 - - ) (3 12 3 4 2

    . 3,2- x x x x f

    = )(3

    2 2

    3

    2 3

    0=)( =

    3

    2 2

    3

    2 0 = 3

    2

    3

    0 = 2 2

    1 = x 2 = 0 = )1 + ()2 ( =

    = )1( 7

    47 , 1( 5 = )2( ,

    4 )5 ,2( , )

    7 , 1( .. )5 , 2 ( . . 4 )

    04

    1 ) (soc )4( , 1 ) (soc )0(4

    f f

    [3 ,] [+ ,3] )2 , 0 ( .. .

    [2,2] [+,2] [2,]

    [2,0]

    .

  • 5

    = )( 1

    2

    2 = )( 3 0 = 2 0 =

    ,)0( )0(

    = )( 2

    1+

    )4,2( , )0 ,0( 4 = )2( , 0 = )0(

    )1( ,)1( 1 =

    = )()1(2 2)1 + (

    2)1 + (=2 + 2

    2)1 + (=

    )2 + (

    2)1 + ( 2 = 0 = 0 = )2 + ( 0 =

    3 72 = )(

    3 = 0 = 23 72 = )(

    2 < < 0 soc 2 = )(

    = nis 1 = nis 2 0 = nis 2 + 1 = )(1

    2=

    6

    [+ ,0] [0 ,]

    [0,1] [1,2] [+ ,0] [2,]

    )0,2( .. )0,0( . .

    [+,3] [3,] [3,3]

    )0,3( .. )0,3( . .

    . nis

    = :6= +

    7

    6

    2 = :6=

    11

    6

    .

  • 6

    521p .

    23 3 = )3 (2 = )(

    0=)( 2 = 0 = 0 = )2 (3 0 = 6 23

    24 4 = )4 2(2 = )(

    0=)( 2 = 0 = 0 = )2 2(4 0 = 8 34

    )9 ,3( 9 = )3( , 3 = 0 = 6 2 = )(

    6 2 = )(

    )9 ,3( . . [3 ,] [+ ,3]

    0 = 21 6 + 26 = )( 6 , 0 = )1 ()2 + ( 0 = 2 + 2

    21 23 + 32 = )(

    7 = )1( , 02 = )2( 1 = 2 =

    )02 ,2()7 ,1(

    0 = 23 6 = )( 6 4 = )2( , 0 = )0( , 2 = 0 = 0 = ) 2(3

    3 23 = )( ) 3(2 = )(

    )4 ,2()0,0(

    [+ ,2] [0 ,] [2,0]

    [+,1] [2,] [7 ,1]

  • 7

    0 = 1 4 = )( , 1 = 0 1 + 2 0 = )1 2()1 + 2(

    = )( 55

    5= )(

    1

    5 5

    8.0 = )1( , 8.0 = )1(

    )8.0 , 1()8.0, 1(

    [1 ,1] [+,1] [1,] )8.0 , 1(, .. )8.0, 1( .

    = )(2

    31 0 = 3

    2

    3 0 2 0 = 3

    )0(

    2 = )( 3

    = )( 4 2

    4 3

    4 = )0(

    )4 , 0(

    [0 ,] [+ ,0] )4 , 0(..

    { = )(5 15 < 1

    )5(

    { = 5 + |5 | = |5 | 5 = )( 0 5 5 + 5 + 0 < 5 5 + 5

    { =5 01 + 5 <

    5 = )5( )5, 5(

    )5, 5( . .

    [+ ,5] [5 ,]

    1 = )(1

    2 0 =

    1

    2 1 =

    1 = 2

    , 1 =

    = )( 1+2

    + = )(

    1

    2 = )1( , 2 = )1(

    )2 , 1()2, 1(

    )0( ,)0(

    [1,0] [0,1] [ +,1] [1, ] )2 , 1(, .. )2 , 1( .

    .

  • 8

    = )()2(2 2)9 2(

    2)9 2( 0 =

    32 81 32

    2)9 2( 0 =

    81

    2)9 2( 0 = 81

    = )( 2

    92

    0 = )0( , 0 =

    )0, 0( , )3( ,)3( , )3( ,)3(

    [+ ,3] [3,0] [0,3] [3, ]

    )0, 0( .

    + 1 = )()1()4()1(

    2)1 + ( 0 =

    1

    4

    2)1 + ( 0 =

    4

    2)1 + (1 =

    4 = 2)1 + (

    = )( 1+22

    1++ 3 =

    4

    1+

    2 = 1 + 1 = 3 =

    8 = )3( , 0 = )1(

    )8,3( ,)0, 1( , )1( ,)1(

    [1 ,1] [1,3] [+,1] [3, ]

    )8 , 3( . , )0, 1(...

    = )(1

    2 0 = nis

    = nis

    1

    2 =

    6

    6

    5

    6

    = )(

    2 soc +

    (

    6= )

    6

    2soc +

    6=

    21+3

    2=

    36+

    21(

    6, 36+

    21)

    ( 5

    6= )

    5

    6

    2soc +

    5

    6=5

    213

    2=

    365

    21(5

    6, 365

    21 )

    .

  • 9

    ...(56 ,563

    12) . , (

    6 ,+63

    12) ]0,

    6[ ]

    5

    6, 2[ ]

    6,5

    6[

    2 2

    2 2 2

    2

    ( ) (sin )(cos )

    ( ) sin cos 0

    sin cos cos

    tan 1

    tan 1

    4

    : 1 2 3 4

    3 5 7

    4 4 4 4

    3 3 3 5 5 5 7 7 7( ) sin .cos ( ) sin .cos ( ) sin .cos ( ) sin .cos

    4 4 4 4 4 4 4 4 4 4 4 4

    2 2 2 2 2( )( ) ( )( ) ( )(

    2 2 2 2 2

    f x x x

    f x x x

    x x x

    x

    x

    x

    x x x x

    f f f f

    2 2 2) ( )( )

    2 2 2

    2 1 1 1 1

    4 2 2 2 2

    1 3 1 5 1 7 1( , ),( , ),( , ),( , )

    4 2 4 2 4 2 4 2

    203 5 7

    4 4 4 4

    ( )

    ( )

    x

    f x

    f x

    30 2

    2 2

    ( ) 0 0 0 0 0

    ( ) 1 0 1 0 1

    x

    f x

    f x

    22( ) cos 0,2 ( ) cos

    ( ) 2 cos ( sin ) 2sin cos 0 sin cos 0

    sin 0 cos 0

    30 2

    2 2

    3(0,1) ( ,1) (2 ,1) ( ,0) ( ,0)

    2 2

    f x x f x x

    f x x x x x x x

    x x

    x x x x x

    ]2, [ ]

    3

    2, 2[ ]0,

    2[ ],

    3

    2[

    .

  • 01

    .

    .