RowColumn

Rowcolumn is a term used to describe a coordinate in a two-dimensional grid, typically expressed as a pair (row, column) or (r, c). It is widely used in contexts such as matrices in mathematics, data tables in software, and grids in computer graphics. In programming, elements of a two-dimensional array are accessed by specifying a row index and a column index. Depending on language conventions, indexing may be zero-based or one-based.

In data structures and algorithms, the row component identifies the horizontal position across rows, while the column component identifies the vertical position across columns. In spreadsheets and databases, the same idea appears in cell references, where a row number and a column letter identify a cell; users often think in terms of row-column coordinates.

Row-major and column-major orders describe how a two-dimensional array is laid out in linear memory. In row-major order, elements with the same row are stored contiguously, which aligns with rowcolumn access patterns. In column-major order, adjacent elements share the same column. These layouts influence performance for rowcolumn-oriented access patterns.

Practically, a rowcolumn pair (i, j) locates the element at the i-th row and j-th column of a grid, with i and j starting from 0 or 1 depending on convention. Applications span linear algebra, image processing, data analysis, and user interface design.