Definition:Array/Element

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Definition

Let $\mathbf A$ be an Array.

The individual $n \times n$ symbols that go to form $\mathbf L$ are known as the elements of $\mathbf L$.

The element at row $i$ and column $j$ is called element $\left({i, j}\right)$ of $\mathbf A$, and can be written $a_{i j}$, or $a_{i, j}$ if $i$ and $j$ are of more than one character.

If the indices are still more complicated coefficients and further clarity is required, then the form $a \left({i, j}\right)$ can be used.


Note that the first subscript determines the row, and the second the column, of the array where the element is positioned.


Index of Element

Let $\mathbf A$ be an $m \times n$ array.

Let $a_{i j}$ be an element of $\mathbf A$.


Then the subscripts $i$ and $j$ are referred to as the indices (singular: index) of $a_{i j}$.


Also denoted as

Some sources prefer to use the uppercase form of the letter for the element:

$ A_{i j}$


Also known as

The elements of an array are sometimes seen as entries of an array.