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| function styles = [[defined function]]s, some [[tacit]] capabilities ...APL]] offered by [[Soliton Associates]]. Notable features of SAX include [[function rank]], the [[Rank operator]], and [[leading axis theory]], as well as rela

A '''primitive function''' is a [[function]] defined by the language. Outside of the array community, such functions m ...of the argument or its subarrays without regard to their values, and [[set function]]s, which return a result or manipulate arrays based on which [[cell]]s or

...s a [[primitive operator|primitive]] [[dyadic operator]] which takes two [[function]] [[operand]]s. It pre-processes its argument(s) with the monadic right ope ...) <syntaxhighlight lang=apl inline>f¨g</syntaxhighlight> has the overall [[function rank]] of <syntaxhighlight lang=apl inline>g</syntaxhighlight>. This allows

...ntity function''', or '''tack function''', is one of the three [[primitive function]]s which returns one of its [[argument]]s with no modification: .... They can also be combined with an array-oriented [[operator]] to perform structural manipulations on arrays. Identity functions are a central feature of [[taci

...large, functions that need to read elements of the array, such as [[scalar function]]s, will be many times slower because of the need to follow a pointer to re

...line>/</syntaxhighlight> in [[J]]) passes entire cells, and performs fewer function calls.

...and Mesh is similar to that between [[Compress]] and [[Expand]]. A related function also named Mesh is implemented in [[NARS]] and [[NARS2000]] as a case of [[ ...ht> is paired with <syntaxhighlight lang=apl inline>u</syntaxhighlight>. [[Structural Under]] allows the assignment to be performed in a functional style, with n

...al primitives. However, we may express it in terms of a stricter reshaping function <syntaxhighlight lang=apl inline>shape</syntaxhighlight>, which forms an ar ...itself until it is long enough. An implementation using indices instead of structural manipulation is also possible:

| function styles = block (like [[dfn]]s) ...es the developers very loose guarantees when (or if, and how many times) a function will actually be invoked. For example, <syntaxhighlight lang=apl inline>↑

| function styles = stack-based [[tacit]] ...number of input and output values, meaning the overloading of [[ambivalent function]]s is removed. Because of this, Uiua often splits APL primitives into two f

...rnate implementations, in his [[dfns workspace]]. The workspace includes a function which differs in a few small details. In this page we will break down the function <syntaxhighlight lang=apl inline>Life</syntaxhighlight> to see how each par

...ighlight> was added for better integration with .NET. Another new [[system function]], <syntaxhighlight lang=apl inline>⎕NLOCK</syntaxhighlight>, was added f ...the work of creating a hash table for that argument every time the search function was called after the first. The APLScript mechanism, allowing source files

| function styles = [[Anonymous function|explicit]], [[tacit]] ...use of terms from English grammar to describe the language. For example, [[function]]s are called "verbs" while arrays are called "nouns".

| function styles = [[tradfn]], [[dfn]], [[tacit]] ...ot derived from Dyalog such as [[GNU APL]] and [[NARS2000]], [[dfn]]-style function syntax has become common, and Dyalog has also popularised [[SHARP APL]] and

* '''The variety of definitions of a simple function'''. [[Eugene McDonnell|E. E. McDonnell]]. * '''An extension of the domain of the APL domino function to rank deficient linear least squares systems'''. Augustin A. Dubrulle. [h