ISO/TC 211 Multi-Lingual Glossary of Terms (MLGT)

Note 1 to entry: If the indexes are ${\displaystyle (i,j)}$ with the number of rows ${\displaystyle r}$ and columns ${\displaystyle c}$ , then the mapping between the multidimensional locations to the linear storage locations is given by: ${\displaystyle [i,j\in Z϶1\le i\le r;1\le j\le c]⟹[(i,j)\to (i-1)c+j]}$ ${\displaystyle [i,j,k\in Z϶1\le i\le r;1\le j\le c;1\le k\le f]⟹[(i,j,k)\to ((i-1)c+j-1)f+k]}$

Note 2 to entry: The matrix ${\displaystyle \left[\begin{array}{ccc}1& 2& 3\\ 4& 5& 6\\ 7& 8& 9\end{array}\right]}$ in row major form is stored as ${\displaystyle [1,2,3,4,5,6,7,8,9]}$ . For higher dimensions, the same pattern is applied recursively: