Element

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In the APL array model, an element of an array is one of the values it contains. In flat array theory an element is a character, number, or box, and cannot be manipulated directly within the language. In nested array theory each element of an array is another array, and an element of an array can be retrieved using the Pick function. Stranding forms a vector directly from its elements.

The APL Wiki's usage of the term "element" differs from the usage in flat array languages, where it may be used as a synonym for an atom or 0-cell or to refer to the contents of box elements in a boxed array. Defining "element" to mean something that is not an array is intended to make it easier to reconcile flat with nested array theory using common terminology.

Scalar functions are applied element-wise to their argument arrays (using conformability to pair elements). In nested APLs this means they traverse deeply nested arrays to produce a result; in flat APLs they go down only one level.

APL features [edit]
Syntax ArrayFunctionOperatorAssignment
Built-ins Primitive functionPrimitive operatorQuad name
Array model ShapeRankDepthBoundIndexAxisRavelRavel orderElementScalarVectorMatrixSimple scalarSimple arrayNested arrayBoxCellMajor cellSubarrayEmpty arrayPrototype
User definition TradfnDfnTacit
Concepts and paradigms Leading axis theoryScalar extensionConformabilityScalar functionGlyphIdentity element
Errors LIMIT ERRORRANK ERROR