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Re: [zzdev] Suggested ZigZag terms: subspace, closed set of cells, closure, generate?
- 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?
I'd say just plonk in what you wrote.