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*To*: Antti-Juhani Kaijanaho <gaia@xxxxxx>*Subject*: Re: [zzdev] Suggested ZigZag terms: subspace, closed set of cells, closure, generate?*From*: Tuomas Lukka <lukka@xxxxxxxxxxx>*Date*: Tue, 15 Aug 2000 20:24:35 +0300 (EETDST)*Cc*: ZZ Development <zzdev@xxxxxxxxxx>*In-reply-to*: <20000815162051.B4027@xxxxxxxxxxx>

On Tue, 15 Aug 2000, Antti-Juhani Kaijanaho wrote: > 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? Documentation/Spec. I'd say just plonk in what you wrote. Tuomas

**References**:**Suggested ZigZag terms: subspace, closed set of cells, closure, generate?***From:*Antti-Juhani Kaijanaho

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