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Discussion of "bi'i"
[parent] [root]
Comment #1: Dimensionality
Curtis W Franks (Sun Feb 14 05:25:51 2016)

I propose that we extend the semantics of this word so as to include
n-cells (n-orthotopes). The two arguments would be points in n-space X
which may be expressed/represented with respect to a given basis as a =
(a_1, ..., a_n) and b = (b_1, ..., b_n). Then the "interval" formed is the
n-cell that consists of the set of all points x = (x_1, ..., x_n) in X such
that for each i which is a natural number less than or equal to n, a_i <
x_i < b_i, where the meaning/strictness of each of the two instances of "<"
can be determined by context and/or by use of ga'o and ke'i. X would be
determined by context.

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