1plus1equal2

9
 "%& "%&  '()#*+,-/ '()#*+,-/  ,#0#*1&2 ,#0#*1&2  0(* 0(*  '#%('#0+,3 '#%('#0+,3  4)54( 4)54( 46'89*# 46'89*#  '& '&  0(* 0(*  1:12# 1:12#  01 01  "%;1+4'# "%;1+4'#  <71 <71  :;#='#0+,>* :;#='#0+,>* #;+%'>* #;+%'>*, =+# =+#  :#;"<&+='# :#;"<&+='# 2 1 1  = + ?:1;&2 ?:1;&2  *#  *#  =;#80&2 =;#80&2  ' ' 5*# 5*#  0;-:1 0;-:1  :1A6 :1A6  #:A- #:A-. B9;2/ B9;2/  #'8+D1A2# #'8+D1A2#  -'9/ -'9/  DA5:17'& DA5:17'&  :9/ :9/  017 017  A&2:&+ A&2:&+ :#*0&A>/ :#*0&A>/  01 01  407A 407A . "#$$%&'#()*+ "#$$%&'#()*+  *.'01(,(# *.'01(,(# ... ...

Upload: lisa-gray

Post on 07-Oct-2015

222 views

Category:

Documents


0 download

DESCRIPTION

How to confuse simple thinks (in Greeks)

TRANSCRIPT

  • , ,

    211 =+ . .

    ..

    ......

  • ,,

    )ln(1 e= ,,

    )(cos)(sin1 22 pp +=

    ,,n

    n

    =

    =

    0 212

  • ,,

    211 =+ ::

    ( )n

    nppe

    =

    =++

    0

    22

    21)(cos)(sinln

    , , , , ..

  • ::

    )(tanh1*)cosh(1 2 qq -=

    , ,

    z

    z ze

    +=

    11lim

  • ,,

    ( )n

    nppe

    =

    =++

    0

    22

    21)(cos)(sinln

    ,,

    =

    -=++

    +

    0

    222

    2

    2)(tanh1*)cosh(

    )(cos)(sin11limlnn

    nz

    qqpp

    z

  • ,,

    1!0 =

    (( ), ), (( ) :) :

    ( ) ( ) 011 =- -- TT XX

  • ,,

    1!0 =

    ( ) ( ) 011 =- -- TT XX, ,

    ( ) ( ) 1!11 =

    -

    -- TTXX

  • , , ::

    , , ,, , , ::

    (( ,, ) )

    211 =+

    ( ) ( ) =

    --

    -=++

    +

    -

    0

    222

    211

    2)(tanh1*)cosh(

    )(cos)(sin1!limlnn

    n

    TT

    z

    qqpp

    zXX

    =

    -=++

    +

    0

    222

    2

    2)(tanh1*)cosh(

    )(cos)(sin11limlnn

    nz

    qqpp

    z

  • ( ( ) ) ..

    ..