:
5 + = 2 2
(3 + 2) + (3 - 2) = 2*2
3 2 - 3 2 + 3 2 + 3 2 = 2 2
2 3 2 - 2 2 = 0
2 (3 - 1) = 0
2 = 0 2 = /2 = /4
2 = 3/2 = 3/4
3 = 1 3 = 0 = 0
3 = 2 =
:
+ 3 = + 3
= (2 - ) = 2 - 2
3 = (2 + ) = 2 + 2
+ 3 = 2 2 ... ... ... (1)
= (2 - ) = 2 + 2
3 = (2 + ) = 2 + 2
+ 3 = 2 2 ... ... ... (2)
2 2 = 2 2
(2 - 2 ) = 0
= 0 = /2 3/2
2 = 2
2 = 1 2 = /4 = /8
2 = 5/4 = 5/8
= ========> ( 1 )
= 2 =========> ( 2 )
= 2 = 2
( 1 - 2 ) = 0
= 0 = /2 3 /2 ...
2 = 1
= 1/2 = /6 5 /6
= /2
= /2 = 0 2 = = 0
= 0
= 3 /2
= 3 /2 = 0 2 = 6 /2 = = 0
= 0
= /6
= /6 = 30 = 3 /2
2 = /3 = 60 = 3 /2
= *3 /2
= 5 /6
= 5 /6 = 150 = - 30 = - 3 /2
2 = 10 /6 = 300 = - 60 = - 3 /2
= - *3 /2
-
-
:1/2 = / 2 = (2 - ) / 2
1/2 + 1/4 + 1/8 + ... + 1/(2^) = - (2^)
= [2 - 2 ] / 2
= / - 2/2 = - 2
1/2 + 1/4 + 1/8 + ... + 1/(2^) =
= ( - 2) + (2 - 4) + (4 - 8) + .... + (2^( - 2) - 2^( - 1) ) + (2^( - 1) - 2^ )
= - 2^
:
- ( + ) + ( + 2) + ( + 3) + ...
:
- ( + ) + ( 2 + ) + ( 3 + ) + ...............
1( 1 + 3 +.......+97+ 99)=( 50)^2
:
= - 2* [( + )/2] * [( )/2]
: ( + )/2 = ( )/2 =
- 2 = ( + ) ( )
2 = ( ) ( + )
:
1 + 3 +.......+97+ 99)=( 50)^2
= 1 = 2 = 50 =
= + ( + ) + ( + 2) + ... + ( + ( - 1))
2*(/2)
2*(/2)* = 2*(/2)* + 2*(/2)*( + ) + 2*(/2)*( + 2) + ... + *(/2)*( + ( - 1))
2*(/2)* = ( - /2) - ( + /2)
2*(/2)*( + ) = ( + /2) - ( + 3/2)
2*(/2)*( + 2) = ( + 3/2) - ( + 5/2)
... ... ...
2*(/2)*( + ( - 2)) = ( + ( - 5/2)) - (( + ( - 3/2))
2*(/2)*( + ( - 1)) = ( + ( - 3/2)) - ( + ( - 1/2))
2*(/2)* = ( - /2) - ( + ( - 1/2)) = 2*( + ( - 1)/2)*( /2)
(1)* = (1 + (50 - 1)*2/2) * (50*2/2) = ((50))^2
( 2/17 ) + ( 4/17 + ( ( 6/17 ) + ........................
$$$$$$$$$$$$$$
:
[/15*2/15*3/15*4/15*5/15*6/15*7/15]
= (/15 /15)(2/15 2/15)(3/15 3/15)(4/15 4/15)(5/15 5/15)(6/15 6/15)(7/15 7/15)
= (1/2)^7 [2/15*4/15*6/15][8/15*10/15*12/15*14/15]
:
8/15 = 7/15
10/15 = 5/15
12/15 = 3/15
14/15 = /15
= (1/2)^7*[/15*2/15*3/15*4/15*5/15*6/15*7/15]
= [/15*2/15*3/15*4/15*5/15*6/15*7/15]
= (1/2)^7 = 1/128
:
2 3
: ( /7 ) ( 2/7 ) ( 4 / 7 )
:
2 = 2
+ = 1/2*[( + )/2 . ( - )/2
2 3 = 2 3 /
= 1/2*2 .2 3 /
= 1/4*4 .3 /
= 1/4*[(7 + 1)/2 . (7 - 1)/2]/
= 1/4*1/2 [7 + ]/
= 1/8*[7 + ]/
= 1/8*[7/ + 1]
( /7 ) ( 2/7 ) ( 4 / 7 ) = 1/8*[(7/7)/(/7) + 1)
= 1/8*[/(/7) + 1] = 1/8*[0 + 1] = 1/8
:
:
\7 - 2\7 + 3\7 = 1\2:
1 2 2
: - -
-
- Apr 2012
- 14804
- -
- 0.14
- 598
Thanked: 119- -
-
- Apr 2012
- 14804
- -
- 0.14
- 598
Thanked: 119
-
: 1 (0 1 )
