8.13. The sum of a set of states

There are:

• N sets of states .. SN, in each of which the states are linked by a relationship EITHER
• N disjoint subsets of states K1 of one array

such that there is a set

Sij* = Si × kij

which is a multiple of the set Si to an arbitrary state kij ∈ Ki (i = 1..N)

Then the sum S0 of the given sets S1 .. SN

S0 = (S1 + … + SN)k11, … ,kNM  = ∑sel(Si), (i = 1..N)

with the key k11 .. kNM of the selector sel = <K1 .. KN> is the union of states of all specifiedSij*

S0  = S11* ⋃ .. ⋃ SNM*  = ⋃ Sij* = ⋃ Si × kij, (i = 1..N, j = 1..Mi)

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