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Re: [zzdev] Suggested ZigZag terms: subspace, closed set of cells, closure, generate?



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