3° pc ea 811-k 20111130d 2015-i

7
      = = 0   = 0 = + ( = , )    = = ,        =        =   +   =     = + =   = =   =    =   = 0   =    =  ln á =  ℮  ln . :   = ; 0 =  ℮  ln +  = 0  ℮  1   = 0  ℮  = 1  =   =    →    = 2 1 ln  = ln 3 3   ln  =   ln   1  +   =    →  1      =   4 4 2

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Teoría Macrodinámica

TRANSCRIPT

  • = = 0 = 0

    ( = + )

    ( = (, )) =

    = (, )

    = ()

    = + =

    () = +

    =

    = = = ( )

    = () = 0 = () () =

    ln()

    = ln()

    0

    . : = () ; 0 ()

    = ln() + (() )

    = 0

    1

    = 0

    = (1)

    = = (() )

    = () (2)

    (1)

    ln() = ln() (3)

    (3)

    ln()

    =

    ln()

    (

    1

    +

    ) =

    1

    =

    (4)

    (4) (2)

  • 1

    + () =

    (5)

    () = + +1

    (6)

    ()

    = ()

    1

    (7)

    =

    (8)

  • = [] 0 < < 1 = =

    ( )

    (

    ) =

    2

    2 =

    (1)

    = () (1 1

    1 )

    0

    . ( ): = || ; = |

    | .

    = () (1 1

    1 ) + (|

    | ) + (|| )

    = 0 () = 0

    =

    ;

    =

    =

    =

    1 = 1

    =1

    1=

    =

    =

    =

    =

    1

    =

    =

    1

    = [] ln = ln + ln

    =

    +

    = (

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

    (2)

    ( )

    ( )

  • = [(1 )] = =

    (1 )

    + > 1

    =

    =

    = =

    [(1 )]

    = [(1 )] (1)

    (1)

    = 1[(1 )] (2)

    (2)

    ()

    ()

    = ( 1)

    +

    (3)

    (

    )

    ()= (

    )

    (

    )

    ()

    ()= (

    )

    = ( 1) (

    )

    2

    +

    (4)

    > 1

    < 1

    > 1

  • = 1(

    )

    ()

    < 1

    (

    )

    ()= 0 ( 1)

    +

    = 0

    = [

    1]

    (5)

    >

    + > 1 > 1

    (

    )

    ()> 0

    (

    )

    ()< 0

    = [(1 )]

    =

    +

    =

    = [

    1]

    =

    1

    +

    = [

    +

    1 ]

    =

    1

    =

    =

  • = 1

    > 0 0 < < 1

    = (1 )11

    > 0 [0; 1]

    = (1 )11 = (1 )(1 )1

    =

    (1 )(1 )1

    (1 )11

    = (1 )11 =

    1

    1

    =

    1

    =

    11 =

    (

    )

    1

    = 1 ln = ln + ln + (1 ) ln

    =

    +

    + (1 )

    =

    + (1 )

    =

    (

    )

    1

    + (1 )1

    1