Outputij

Outputij is a notation used to denote the element of an output array, matrix, or tensor at the intersection of indices i and j. The form highlights two-dimensional indexing and is sometimes used as an alternative to the more common o_{ij} or the programming-style output[i, j]. While not a formal, universally standardized term, outputij appears in some mathematical texts, algorithm descriptions, and code comments to make explicit the specific entry of an output structure being referred to.

In linear algebra, if O is an m-by-n output matrix, the element in the i-th row and j-th column is commonly written as O_{ij}. In contexts where indexing is rendered as a variable name, the same quantity may be referred to as outputij. In programming, the corresponding element is accessed as O[i][j] or O[i, j], with the exact syntax depending on language and whether indexing starts at 0 or 1.

In tensor notation, outputij can denote a two-dimensional slice or a particular component of a higher-dimensional output, signaling the i-th dimension and the j-th dimension within that slice. The usage tends to be pragmatic and contextual rather than a fixed standard.

Examples: for O = [[1, 2, 3], [4, 5, 6]], the entry at row 1, column 2 is 2 (one-based indexing), or O[0][1] = 2 in zero-based indexing. See also: indexing, matrix notation, tensor notation, and array access.