Terminology

APL terminology can be confusing, especially as it often differs from common conventions in computer science, including distinguishing between terms that are usually considered synonyms.

Basic terms

Term	Explanation	Common names in Computer Science
Argument	an array that a function is applied to	Argument, Parameter
Array	a collection of elements arranged along zero or more axes (note that a scalar is also an array)	Tensor, Multi-dimensional array data structure, Multi-dimensional array data type but note that Scalar Variables are not generally regarded as arrays
Cell	a subarray which is formed by selecting a single index along some number of leading axes and the whole of each trailing axis	Array slice
Function	a program that is applied to one or two array arguments to produce an array result	Subroutine, Program
Major cell	a cell of an array which has rank one smaller than the rank of the array, or equal to it if the array is a scalar	Element
Matrix	an array of rank 2	Table
Nested array	an array that contains at least one element which is not a simple scalar	Data structure
Operand	an array or function that is passed to an operator	Argument, Parameter
Operator	a higher-order function that creates derived functions based on one or two operands	Higher-order function
Primitive	a built-in function or operator which is a core part and is represented by a glyph	Language primitive, Operator
Rank	the number of dimensions or axes in the structure of an array	Order, Degree
Scalar	an array of rank 0	Value
Shape	a vector of lengths of an array along each of its axes	Array dimensions
Simple scalar	a number, character, or (in dialects that support such) Namespace	Primitive data type, Value
Vector	an array of rank 1	Array, List