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In relation to the center cell indicated by the conjunction <math>pqr,\!</math> the region indicated by <math>\texttt{(} p, q, r \texttt{)}</math> is comprised of the adjacent or bordering cells.  Thus they are the cells that are just across the boundary of the center cell, reached as if by way of Leibniz's ''minimal changes'' from the point of origin, in this case, <math>pqr.\!</math>

In relation to the center cell indicated by the conjunction pqr

the region indicated by (p, q, r) is comprised of the "adjacent"

or the "bordering" cells.  Thus they are the cells that are just

across the boundary of the center cell, as if reached by way of

Leibniz's "minimal changes" from the point of origin, here, pqr.

More generally speaking, in a k-dimensional universe of discourse

More generally speaking, in a <math>k\!</math>-dimensional universe of discourse that is based on the ''alphabet'' of features <math>\mathcal{X} = \{ x_1, \ldots, x_k \},</math> the same form of boundary relationship is manifested for any cell of origin that one chooses to indicate.  One way to indicate a cell is by forming a logical conjunction of positive and negative basis features, that is, by constructing an expression of the form <math>e_1 \cdot \ldots \cdot e_k,</math> where <math>e_j = x_j ~\text{or}~ e_j = \texttt{(} x_j \texttt{)},</math> for <math>j = 1 ~\text{to}~ k.</math> The proposition <math>\texttt{(} e_1, \ldots, e_k \texttt{)}</math> indicates the disjunctive region consisting of the cells that are just next door to <math>e_1 \cdot \ldots \cdot e_k.</math>

that is based on the "alphabet" of features !X! = {x_1, ..., x_k},

the same form of boundary relationship is manifested for any cell

of origin that one might choose to indicate, say, by means of the

conjunction of positive and negative basis features "u_1 ... u_k",

where u_j = x_j or u_j = (x_j), for j = 1 to k.  The proposition

(u_1, ..., u_k) indicates the disjunctive region consisting of

the cells that are "just next door" to the cell u_1 ... u_k.

</pre>

==Note 12==

==Note 12==