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*To*: ZZ Development <zzdev@xxxxxxxxxx>*Subject*: Suggested ZigZag terms: subspace, closed set of cells, closure, generate?*From*: Antti-Juhani Kaijanaho <gaia@xxxxxx>*Date*: Tue, 15 Aug 2000 16:20:51 +0300*Mail-followup-to*: ZZ Development <zzdev@xxxxxxxxxx>*Sender*: Antti-Juhani Kaijanaho <ajk@xxxxxxxxxxx>

I believe I will have the need to repeatedly refer to the following kind of concepts in Clang specs: A set of cells C is CLOSED with respect to a set of dimensions D, if all neighbours of all cells of the set C along the dimensions of set D belong to the set C. A set C' is a CLOSURE of a set of cells C with respect to a set of dimensions D, if C' is a minimal closed (with respect to D) set containing all elements of C. A closed set of cells with respect to a set of dimensions is a SUBSPACE. If a subspace is a closure of a set of cells C with respect to a set of dimensions D, then the set of cells C and the set of dimensions D is said to GENERATE (fin. virittää) that subspace. Standard mathematical definitions, can we agree on these meanings for these words? Should they be documented somewhere? -- %%% Antti-Juhani Kaijanaho % gaia@xxxxxx % http://www.iki.fi/gaia/ %%%

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