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Suggested ZigZag terms: subspace, closed set of cells, closure, generate?
- 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/ %%%