General Report on Tunny

22D Page 49

22D THE PSI STREAM

(a) Construction of psi patterns.

The psi patterns are constructed so that there are as nearly as possible and equal number of dots and crosses in each impulse of the Ψ' (extended psi) and ΔΨ' streams. This implies that each Ψ wheel has
(1) as nearly as possible an equal number of crosses and dots in the undifferenced wheel, (actually one more cross than dot).
(2) a proportion b of crosses in each differenced (unextended Ψ) where .

(b) A few identities.

		(D1)
		(D2)
		(D3)
		(D4)
		(D5)

(c) Corresponding value of d, a, b, β, and the number of crosses in each ΔΨ.

For all values of d:

Length
No. of crosses in Ψ

Ψ₁

Ψ₂

Ψ₃

Ψ₄

Ψ₅

43
22

47
24

51
26

53
27

59
30

d

a

b

β

Number of crosses in

d

ΔΨ₁

ΔΨ₂

ΔΨ₃

ΔΨ₄

ΔΨ₅

14
15
16
17
18
19
20
21
22
23
24
25
26
27
28

.81
.80
.78
.77
.76
.74
.73
.72
.70
.69
.67
.66
.65
.64
.62

.62
.63
.64
.65
.66
.68
.69
.70
.71
.73
.75
.76
.77
.79
.81

.24
.26
.28
.30
.32
.35
.37
.40
.42
.45
.49
.51
.54
.58
.61

26
26
28
28
28
28
30
30
30
32
32
32
34
34
34

28
30
30
30
32
32
32
32
34
34
34
36
36
36 or 38
38

32
32
32
32 or 34
34
34
34 or 36
36
36
38
38
38
40
40
42

32
34
34
34
36
36
36
38
38
38
40
40
40
42
42

36
38
38
38
38
40
40
42
42
42
44
44
46
46
48

14
15
16
17
18
19
20
21
22
23
24
25
26
27
28

Fig. 22 (II)

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