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=== Conceptual modeling ===
Formally, an array ''A'' is given by a (total or partial) function ''A'': ''X'' → ''V'' where ''X'', the ''___domain'' is a ''d''-dimensional integer interval for some ''d''
Each (''p'',''v'') in ''A'' denotes an array element or ''cell'', and following common notation we write ''A''[''p''] = ''v''.
Examples for ''X'' include {0..767} × {0..1023} (for [[Xga#Extended Graphics Array|XGA]] sized images), examples for ''V'' include {0..255} for 8-bit greyscale images and {0..255} × {0..255} × {0..255} for standard [[RGB]] imagery.
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