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Line 31: === 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 {{math\|''d'' > 0}} and ''V'', called ''range'', is some (non-empty) value set; in set notation, this can be rewritten as {{math\|{{mset\| (''p'',''v'') \| ''p'' ∈ ''X'', ''v'' ∈ ''V'' }}}}. 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~~image]]s and {0..255} × {0..255} × {0..255} for standard [[RGB]] imagery. Following established database practice, an array query language should be [[Declarative programming\|declarative]] and safe in evaluation.

Array DBMS: Difference between revisions