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||<rowclass="odd">'''Term''' ||'''Description'''|| ||'''Term''' ||'''Description'''||
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||<rowclass="odd">''argument'' ||value or reference passed to a ''function'' or ''operator''.|| ||''argument'' ||value or reference passed to a ''function'' or ''operator''.||
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||<rowclass="odd">''cell'' ||(of an array) sub-array whose dimensions are a suffix of those of the whole. The 2-cells of a 3D array are the planes whose dimensions are the numbers of rows and columns of the 3d ''array''.|| ||''cell'' ||(of an array) sub-array whose dimensions are a suffix of those of the whole. The 2-cells of a 3D array are the planes whose dimensions are the numbers of rows and columns of the 3d ''array''.||
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||<rowclass="odd">''depth'' ||(of an ''array'') the number of levels of ''nesting''.|| ||''depth'' ||(of an ''array'') the number of levels of ''nesting''.||
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||<rowclass="odd">''dyadic'' ||accepting or requiring two ''arguments'' or ''operands'': left and right; having ''valence'' of two.|| ||''dyadic'' ||accepting or requiring two ''arguments'' or ''operands'': left and right; having ''valence'' of two.||
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||<rowclass="odd">''empty'' ||(or null)(of an ''array'') having one or more dimensions of length zero.|| ||''empty'' ||(or null)(of an ''array'') having one or more dimensions of length zero.||
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||<rowclass="odd">''function'' ||primitive, ''defined'', ''derived'' or system operation or mapping that takes zero, one (right) or two (left & right) ''array'' valued ''arguments'' and may return an ''array'' valued result.|| ||''function'' ||primitive, ''defined'', ''derived'' or system operation or mapping that takes zero, one (right) or two (left & right) ''array'' valued ''arguments'' and may return an ''array'' valued result.||
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||<rowclass="odd">''matrix'' ||(of an ''array'') having two dimensions.<<BR>>(of a ''function'') applying to ''matrices''.|| ||''matrix'' ||(of an ''array'') having two dimensions.<<BR>>(of a ''function'') applying to ''matrices''.||
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||<rowclass="odd">''nested'' ||(of an ''array'') having one or more ''items'' or a ''prototype'' which is not a primitive ''scalar''.|| ||''nested'' ||(of an ''array'') having one or more ''items'' or a ''prototype'' which is not a primitive ''scalar''.||
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||<rowclass="odd">''operand'' ||''argument'' to an ''operator''.|| ||''operand'' ||''argument'' to an ''operator''.||
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||<rowclass="odd">''pervasive'' ||(of a ''function'') applying equally to ''scalars'' at any ''depth''.|| ||''pervasive'' ||(of a ''function'') applying equally to ''scalars'' at any ''depth''.||
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||<rowclass="odd">''rank'' ||(of an ''array'') number of dimensions.<<BR>>(of a ''function'') ''ranks'' of ''arguments'' to which it applies.|| ||''rank'' ||(of an ''array'') number of dimensions.<<BR>>(of a ''function'') ''ranks'' of ''arguments'' to which it applies.||
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||<rowclass="odd">''scalar'' ||(of an ''array'') having zero dimensions.<<BR>>(of a ''function'') applying to ''scalars''.<<BR>>(- extension) replication of a ''scalar'' ''argument'' to the ''shape'' of the other.|| ||''scalar'' ||(of an ''array'') having zero dimensions.<<BR>>(of a ''function'') applying to ''scalars''.<<BR>>(- extension) replication of a ''scalar'' ''argument'' to the ''shape'' of the other.||
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||<rowclass="odd">''simple'' ||(of a ''scalar'') a single primitive datum.<<BR>>(of an ''array'') composed entirely of primitive ''scalars''.|| ||''simple'' ||(of a ''scalar'') a single primitive datum.<<BR>>(of an ''array'') composed entirely of primitive ''scalars''.||
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||<rowclass="odd">''type'' ||(of an ''array'') ''array'' of identical structure in which all numbers are zero and all characters are blanks.|| ||''type'' ||(of an ''array'') ''array'' of identical structure in which all numbers are zero and all characters are blanks.||
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||<rowclass="odd">''vector'' ||(of an ''array'') having one dimension.<<BR>>(of a ''function'') applying to vectors.|| ||''vector'' ||(of an ''array'') having one dimension.<<BR>>(of a ''function'') applying to vectors.||

Glossary of APL terms

APL literature includes many terms whose meanings, though rigorous, differ slightly from elsewhere. Terms used but not defined here follow normal usage or are defined at FOLDOC1.

Term

Description

ambivalent

(or nomadic2)(of a dyadic function) permitting its left argument to be elided.

argument

value or reference passed to a function or operator.

array

(or variable) data valued object of zero or more orthogonal dimensions in row-major order in which each item is a primitive scalar or another array.

cell

(of an array) sub-array whose dimensions are a suffix of those of the whole. The 2-cells of a 3D array are the planes whose dimensions are the numbers of rows and columns of the 3d array.

define

create by lexical assignment3 or association4 or in an editor5.

depth

(of an array) the number of levels of nesting.

derive

create by juxtaposition as a combination of one or two existing arrays or functions with an operator6.

dyadic

accepting or requiring two arguments or operands: left and right; having valence of two.

element

(of an array) sub-array being a simple scalar at whatever depth. The elements of a simple array are also its items.

empty

(or null)(of an array) having one or more dimensions of length zero.

enclose

(of an array) convert into a scalar preserving all the original structure. An enclosed array can occupy a single position in another array.

function

primitive, defined, derived or system operation or mapping that takes zero, one (right) or two (left & right) array valued arguments and may return an array valued result.

item

(of an array) sub-array, which may be enclosed, occupying a single position in the outer structure of the array. The items of a simple array are also its elements.

matrix

(of an array) having two dimensions.
(of a function) applying to matrices.

monadic

accepting or requiring one argument or operand; on the right for a function; on the left for an operator; having valence of one.

nested

(of an array) having one or more items or a prototype which is not a primitive scalar.

niladic

accepting no arguments; having valence of zero.

operand

argument to an operator.

operator

primitive or defined operation or mapping that takes one (left) or two (left & right) function or array valued arguments (operands) and derives a function.

pervasive

(of a function) applying equally to scalars at any depth.

prototype

(of an array) the type of its first item.

rank

(of an array) number of dimensions.
(of a function) ranks of arguments to which it applies.

reduction

application of a function between the items of its right argument thus reducing the rank by one.

scalar

(of an array) having zero dimensions.
(of a function) applying to scalars.
(- extension) replication of a scalar argument to the shape of the other.

shape

(of an array) length of each dimension.

simple

(of a scalar) a single primitive datum.
(of an array) composed entirely of primitive scalars.

strand

lexical juxtaposition of array valued names or expressions to form a larger, possibly nested, array7.

type

(of an array) array of identical structure in which all numbers are zero and all characters are blanks.

valence

degree or number of arguments or operands of an operation.

vector

(of an array) having one dimension.
(of a function) applying to vectors.

workspace

area of computer memory containing arrays and defined &/or derived operations or a file containing a preserved binary image of such.

-- PhilLast 2009-10-05 14:55:22

CategoryAboutApl

  1. FOLDOC: see The Free On-Line Dictionary Of Computing, Editor Denis Howe (1)

  2. nomadic: see APLX concepts (2)

  3. define by lexical assignment: assigned←{expression in terms of ⍺ and/or ⍵}  (3)

  4. define by lexical association: ⎕FX 'r←a associated w' 'r←expression in terms of a and/or w' (4)

  5. define in an editor: ∇edited or )EDIT edited (5)

  6. derive: derived←∘.,/∘(⍳¨) (6)

  7. strand: stranded←0(1 2)('three' 'four')'five' (7)

GlossaryOfAplTerms (last edited 2015-02-24 10:48:36 by anonymous)