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- Lionel Golden
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1
2
3 = (, )
4 V λ (1) λ λ ( + + ) P
5 = [ ( ), (1)]
6 ( ) ( ) = ( ) ( ) ( 0 ) ( 0 ) = ( 0 ) ( 0 ) 0 ( 0 ) ( ( 0 )) ( ( 0 )) = ( ( 0 )) ( ( 0 )) ( + ( 0 )) ( + ( 0 )) = ( + ( 0 )) ( ( 0 ))
7 P V V V V
8 V P V P V V V P P V P 50
9 L M L {0, 1} ( ) : (, ) = 1 P V < P(, ), V( ) > P V P V < P(, ), V( ) > V
10 P V L (, ) = 1 [ V < P(, ), V( ) > ( ) = 1] = 1 P P V / L (P, ) [ V < P (, ), V( ) > ( ) = 1] = (λ) P P
11 V P V S L (, ) = 1 V < P(, ), V ( ) > ( ) V < S( ), V ( ) > ( ) V P S P
12 S S P V S V P V V S V P S S V P S
13
14 Σ P V P
15 Z Z P Z = ( )
16 P V Z = V V P Z P V P = + V V = ( )
17 = + = = ( ) P 1 (,, ) (,, ) = = = = = = P
18 S S V P {0, 1} V S
19 S V S =, Z V Z S V V Z S = V = = = ( Z ;, Z, ) (, Z ;,, + )
20 V P H
21 Z Z P Z = Z = = H( ) H Z = + (,, ) = H( )
22
23 ( 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, )
24 ( ) = ( ) = =0 0 ( ) ( ( 0 )) V 0 ( 0 0), ( 1 0),, ( 0) P ( 0) = ( 0) = ( ( 0 )) =0 =0
25 G 1, G 2 G 2 G G G : G G G (, ) = (, ) G, Z G =< > G =< (, ) >
26 = E(F ) = F (,,, ) = (, ) = (, ) (, ) = (, )
27 V 0 ( 0 0), ( 1 0),, ( 0) ( 0 0), ( 1 0),, ( 0) P ( ) ( ( 0 )), ( ( 0 )), 0
28 ( ( ( 0 )), ( )) = (, ) ( 0) ( ( ( 0 )), (1)) = (, ) ( 0)
29 G Z = A(,, ) (, ) = B B(,, ) =
30 = (, ) = =
31 (, ) = (, ) = (, ) = ( ( 0 )) = ( 0) = ( ( 0 )) = ( 0) ( 0 )
32 ( ( 0 ))
33 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))
34 F {(,, )} =1 N,, F 1+ F F : = ( 1,, ) : (1, ) (1, ) = (1, )
35 : {0, 1} {0, 1} {0, 1} α β = α = β : F F F α β = α = β +
36 F V = { 0,, }, W = { 0,, } : [ ] {0, 1} [ ]
37 {0, 1} = ( 1,, ) = ( 1,, ) F : = 1 : = (, ) = 0 : = (, 1 ) = 0 + =1 = 0 + =1
38 , : = = ( 0 ) ( 0 ) ( 0 ) ( 0 ) = 0
39 Q F V = { 0,, } W = { 0,, } Y = { 0,, } : {0, 1} {0, 1}
40 Q ( 1,, + ) F + ( +1,, ) ( ) ( ) ( ) = ( 0 ( ) + ( )) ( 0 ( ) + =1 ( 0 ( ) + ( ) = 0 ( ) + =1 ( ) ( )) =1 ( )) =1
41 3
42
43 [,,, 1,, 2 ],
44 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]
45 [,,, 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]
46 = {[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]
47 1 ( ) = [ ][ ] 1 (1) = 0, 1 (2) = 0, 1 (3) = 0, 1 (4) = 5 1 ( ) = (1) = 1, 2 (2) = 0, 2 (3) = 1, 2 (4) = 0 2 ( ) = ,,,
48 ( ) ( ) = ( ) ( ) = ( ) ( ) ( ) ( 1)( 2)...
49 V 0, F { ( 0)} = { ( 0)} =0 { ( ( 0 )), ( ( 0 ))} =1 { ( ( 0 )), ( ( 0 ))} =1 { ( ( 0 )), ( ( 0 ))} =1 ( ( 0 )), ( ( 0 ))
50 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 )) ( )
51 P { + 1 } ( ) = ( ) = ( ( 0 )) = ( ( 0 )) = ( ( 0 )) = ( ( 0 )) = ( ( 0 )) = ( ( 0 )) = ( ( 0 )) = ( ( 0 )) = (β ( 0 ) + β ( 0 ) + β ( 0 )) ( ) + ( 2 ( )
52 ( ( 0 )) = ( / ( 0 )) (, (1)) = (, ( )) (, (1)) = (, ( )) (, (1)) = (, ( )) (, (1)) = (, ( )) ( (γ), ) = ( (β γ), ) ( (β γ), ) ( (β γ), ) ( ( 0( 0)) ( ( 0)), ( 0( 0) )) ( 0( 0), (1)) = (, ( ( 0 ))
53 ( (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)
54 ( 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
55 ( 0 ( 0 )) = ( 0 ( 0 )) ( ( 0 )) = ( 0 ( 0 ) + ( ( 0 ))) = ( ( 0 )) =1 ( ( ( 0 )), ( ( 0 ))) = (, ) ( 0) ( 0 ) ( 0 ) (, ( ( 0 ))) = ( ( 0 ), ( 0 )) = (, ) ( 0) ( 0 )
56 ( (γ), ) = ( (β γ), ) ( (β γ), ) ( (β γ), ) β, β, β β ( 0 ) + β ( 0 )) + β ( 0 ) γ
57 P δ, δ, δ δ = ( ( 0 ) + δ ( 0 )) δ ( 0 ) = ( 0 ) + δ ( 0 ) δ ( 0 ) = ( 0 ) + δ ( 0 ) ( 0 ) ( 0 ) ( 0 ) = ( 0 ) ( 0 ) = ( ( 0 ))
58
59
60
61
62
63
64
65 0 1 0,, 0 0 0
66 1,, 1 1 2,, ,, = 1 2
67 (, ) = (, ) 2 (, 2 ) = (, ) 2
68
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