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Transcription:

= (, )

V λ (1) λ λ ( + + ) P

= [ ( ), (1)]

( ) ( ) = ( ) ( ) ( 0 ) ( 0 ) = ( 0 ) ( 0 ) 0 ( 0 ) ( ( 0 )) ( ( 0 )) = ( ( 0 )) ( ( 0 )) ( + ( 0 )) ( + ( 0 )) = ( + ( 0 )) ( ( 0 ))

P V V V V

V P V P V V V P P V P 50

L M L {0, 1} ( ) : (, ) = 1 P V < P(, ), V( ) > P V P V < P(, ), V( ) > V

P V L (, ) = 1 [ V < P(, ), V( ) > ( ) = 1] = 1 P P V / L (P, ) [ V < P (, ), V( ) > ( ) = 1] = (λ) P P

V P V S L (, ) = 1 V < P(, ), V ( ) > ( ) V < S( ), V ( ) > ( ) V P S P

S S P V S V P V V S V P S S V P S

Σ P V P

Z Z P Z = ( )

P V Z = V V P Z P V P = + V V = ( )

= + = = ( ) P 1 (,, ) (,, ) = = = = = = P

S S V P {0, 1} V S

S V S =, Z V Z S V V Z S = V = = = ( Z ;, Z, ) (, Z ;,, + )

V P H

Z Z P Z = Z = = H( ) H Z = + (,, ) = H( )

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

( ) = ( ) = =0 0 ( ) ( ( 0 )) V 0 ( 0 0), ( 1 0),, ( 0) P ( 0) = ( 0) = ( ( 0 )) =0 =0

G 1, G 2 G 2 G G G : G G G (, ) = (, ) G, Z G =< > G =< (, ) >

= E(F ) = F (,,, ) = (, ) = (, ) (, ) = (, )

V 0 ( 0 0), ( 1 0),, ( 0) ( 0 0), ( 1 0),, ( 0) P ( ) ( ( 0 )), ( ( 0 )), 0

( ( ( 0 )), ( )) = (, ) ( 0) ( ( ( 0 )), (1)) = (, ) ( 0)

G Z = A(,, ) (, ) = B B(,, ) =

= (, ) = =

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

( ( 0 ))

V ( ( 0 )) V, 0 ( 0 0), ( 1 0), ( 0) ( 0 0), ( 1 0), ( 0) P ( ) ( ( 0 )) = ( + ( 0 )) ( ) ( ( 0 )) = ( ) ( ( 0 )) = ( ( + ( 0 )))) ( ( + ( 0 )), ( )) = (, ) ( + ( 0)) ( ( ( + ( 0 ))), (1)) = (, ) ( + ( 0))

F {(,, )} =1 N,, F 1+ F F : = ( 1,, ) : (1, ) (1, ) = (1, )

: {0, 1} {0, 1} {0, 1} α β = α = β + + 1 : F F F α β = α = β +

F V = { 0,, }, W = { 0,, } : [ ] {0, 1} [ ]

{0, 1} = ( 1,, ) = ( 1,, ) F : = 1 : = (, ) = 0 : = (, 1 ) = 0 + =1 = 0 + =1

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

Q F V = { 0,, } W = { 0,, } Y = { 0,, } : {0, 1} {0, 1}

Q ( 1,, + ) F + ( +1,, ) ( ) ( ) ( ) = ( 0 ( ) + ( )) ( 0 ( ) + =1 ( 0 ( ) + ( ) = 0 ( ) + =1 ( ) ( )) =1 ( )) =1

3

[,,, 1,, 2 ],

1 = [,,, 1,, 2 ] = [0, 1,0, 0,0, 0] = [0, 1,0, 0,0, 0] = [0, 0,0, 1,0, 0] = [1, 3, 0, 9, 0, 0] = 0 [,,, 1,, 2 ] = [0, 0,0, 1,0, 0] = [0, 1,0, 0,0, 0] = [0, 0,0, 0,1, 0] = [1, 3, 0, 9, 27, 0]

[,,, 1,, 2 ] = [ 0,1, 0,0, 1,0] = [ 1,0, 0,0, 0,0] = [ 0,0, 0,0, 0,1] [,,, 1,, 2 ] = [5, 0,0, 0,0, 1] = [1, 0,0, 0,0, 0] = [1, 0,0, 0,0, 0] = [1, 3, 0, 9, 27, 30]

= {[0, 1, 0, 0, 0, 0], [0, 0, 0, 1, 0, 0], [0, 1, 0, 0, 1, 0], [5, 0, 0, 0, 0, 1]} = {[0, 1, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0]} = {[0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 1, 0], [0, 0, 0, 0, 0, 1], [1, 0, 0, 0, 0, 0]} = [1, 3, 35, 9, 27, 30]

1 ( ) = [ ][ ] 1 (1) = 0, 1 (2) = 0, 1 (3) = 0, 1 (4) = 5 1 ( ) = 5 6 3 5 2 + 55 6 5 2 (1) = 1, 2 (2) = 0, 2 (3) = 1, 2 (4) = 0 2 ( ) = 2 3 3 + 5 2 + 34 3 + 8,,,

( ) ( ) = ( ) ( ) = ( ) ( ) ( ) ( 1)( 2)...

V 0, F { ( 0)} =0 2 106 { ( 0)} =0 { ( ( 0 )), ( ( 0 ))} =1 { ( ( 0 )), ( ( 0 ))} =1 { ( ( 0 )), ( ( 0 ))} =1 ( ( 0 )), ( ( 0 ))

γ, β, β, β (γ), (β γ), (β γ), (β γ) { (β ( 0 ))} =1 { (β ( 0 ))} =1 { (β ( 0 ))} =1 (β ( 0 )), (β ( 0 )), (β ( 0 )) ( )

P { + 1 } ( ) = ( ) = ( ( 0 )) = ( ( 0 )) = ( ( 0 )) = ( ( 0 )) = ( ( 0 )) = ( ( 0 )) = ( ( 0 )) = ( ( 0 )) = (β ( 0 ) + β ( 0 ) + β ( 0 )) ( ) + ( 2 ( )

( ( 0 )) = ( / ( 0 )) (, (1)) = (, ( )) (, (1)) = (, ( )) (, (1)) = (, ( )) (, (1)) = (, ( )) ( (γ), ) = ( (β γ), ) ( (β γ), ) ( (β γ), ) ( ( 0( 0)) ( ( 0)), ( 0( 0) )) ( 0( 0), (1)) = (, ( ( 0 ))

( (γ), ) = ( (γ), (β ( 0 ) + β ( 0 ) + β ( 0 ))) = ( γ, β ( 0)+β ( 0)+β ( 0) ) = (, ) γ (β ( 0)+β ( 0)+β ( 0)) ( (β γ), ) ( (β γ), ) ( (β γ), ) = ( (β γ, ( ( 0 ))) ( (β γ), ( ( 0 ))) ( (β γ), ( ( 0 ))) = (, ) β γ ( 0) (, ) β γ ( 0) (, ) β γ ( 0) = (, ) β γ ( 0)+β γ ( 0)+β γ ( 0)

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

( 0 ( 0 )) = ( 0 ( 0 )) ( ( 0 )) = ( 0 ( 0 ) + ( ( 0 ))) = ( ( 0 )) =1 ( ( ( 0 )), ( ( 0 ))) = (, ) ( 0) ( 0 ) ( 0 ) (, ( ( 0 ))) = ( ( 0 ), ( 0 )) = (, ) ( 0) ( 0 )

( (γ), ) = ( (β γ), ) ( (β γ), ) ( (β γ), ) β, β, β β ( 0 ) + β ( 0 )) + β ( 0 ) γ

P δ, δ, δ δ = ( ( 0 ) + δ ( 0 )) δ ( 0 ) = ( 0 ) + δ ( 0 ) δ ( 0 ) = ( 0 ) + δ ( 0 ) ( 0 ) ( 0 ) ( 0 ) = ( 0 ) ( 0 ) = ( ( 0 ))

0 1 0,, 0 0 0

1,, 1 1 2,, 1 2 1 2,, 1 2 0 = 1 2

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