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Indexes are also called subscripts. An index maps the array value to a stored object. There are three ways in which the elements of an array can be indexed: 0 (zero-based indexing) The first element of the array is indexed by subscript of 0. [8] 1 (one-based indexing) The first element of the array is indexed by subscript of 1. n (n-based indexing)
Other programming languages, such as Fortran or COBOL, have array subscripts starting with one, ... Zero is the lowest unsigned integer value, one of the most ...
An array data structure can be mathematically modeled as an abstract data structure (an abstract array) with two operations get(A, I): the data stored in the element of the array A whose indices are the integer tuple I. set(A,I,V): the array that results by setting the value of that element to V. These operations are required to satisfy the ...
A vector treated as an array of numbers by writing as a row vector or column vector (whichever is used depends on convenience or context): = (), = Index notation allows indication of the elements of the array by simply writing a i, where the index i is known to run from 1 to n, because of n-dimensions. [1]
To facilitate accessing array elements, B-Prolog supports the array subscript notation X[I1,...,In], where X is a structure and each Ii is an integer expression. This common notation for accessing arrays is, however, not part of the standard Prolog syntax.
However, in the late 1950s LISP introduced zero-based numbering for arrays while Algol 58 introduced completely flexible basing for array subscripts (allowing any positive, negative, or zero integer as base for array subscripts), and most subsequent programming languages adopted one or other of these positions.
In addition to support for vectorized arithmetic and relational operations, these languages also vectorize common mathematical functions such as sine. For example, if x is an array, then y = sin (x) will result in an array y whose elements are sine of the corresponding elements of the array x. Vectorized index operations are also supported.
To access the i-indexed element of array, the syntax would be array[i], which refers to the value stored in that array element. Array subscript numbering begins at 0 (see Zero-based indexing). The largest allowed array subscript is therefore equal to the number of elements in the array minus 1.