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'''Pervasion''' during function application is the concept of a function being defined in terms of the [[simple scalar]]s in [[nested array]]s. It is a feature of [[Nested array model|nested]] array languages, while [[Flat array model|flat]] array languages usually do have function pervade into [[boxes]]. Pervasion can be seen [[recursion|recursing]] into all nested elements. | '''Pervasion''' during function application is the concept of a function being defined in terms of the [[simple scalar]]s in [[nested array]]s. It is a feature of [[Nested array model|nested]] array languages, while [[Flat array model|flat]] array languages usually do have function pervade into [[boxes]]. Pervasion can be seen [[recursion|recursing]] into all nested elements. | ||
[[Scalar function]]s exhibit pervasion by default, whereas [[mixed functions]] and [[Function#Function definition|user defined function]]s do not. | [[Scalar function]]s exhibit pervasion by default, whereas [[mixed functions]] and [[Function#Function definition|user defined function]]s do not. The pervading behaviour can be obtained for any function by using enough consecutive [[Each]] operators <source lang=apl inline>¨</source> to reach the simple scalars at the deepest point of nesting in any argument. | ||
In dialects with the [[Depth (operator)|Depth]] operator (<source lang=apl inline>⍥</source>), a function can be used as a scalar function (that is, be applied to all simple scalars) using the <source lang=apl inline>⍥0</source>: | |||
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