
150 Human Factors of a Global Society
Space 3: Maximum world (nonlinear transformation): η = (η
1
, η
2
, η
3
) = H(E)
Let
ηε
ηε
11
2
11
2
11
2
22
2
2
1
1
ii
i
ii
Mp
Mm
Mp
=−
()
=
−
−
=−
()
=
−
22
2
22
2
33
2
33
2
33
2
1
i
ii
i
Mm
Mp
Mm
−
=−
()
=
−
−
ηε
(14.7)
so in the case of i = 1,2,...,D,
ηηηη
iiii i
P=
=
123
,, (( ))ΗΤ
Note, that in the case of i = 1,2,...,D,
0101
123
≤≤ ≤≤
ηηη
ii i
that is, the transformed η
i
jrepg
r
dz
=
=
+
| are also in the unit cube.
It is easy to state that the relation between Space 2 and 3 is
ξη ξη
11 22
11
+= +=
(14.8)
Depending on which space we are analyzing for the position of the points P
i
, the param-
eters searched are ...