1. In mathematics and combinatorics, a partition of a set into non-empty subsets where the order or sequence of the subsets matters
The ordered partition {{1,2}, {3}} is different from {{3}, {1,2}} because the order of the blocks is significant.
A partição ordenada {{1,2}, {3}} é diferente de {{3}, {1,2}} porque a ordem dos blocos é significativa.
2. A way of dividing a finite set into a sequence of disjoint non-empty subsets whose union equals the original set
For the set {a, b, c}, one ordered partition could be ({a, b}, {c}), another could be ({a}, {b, c}).
Para o conjunto {a, b, c}, uma partição ordenada poderia ser ({a, b}, {c}), outra poderia ser ({a}, {b, c}).
This is technical mathematical terminology used primarily in academic and educational settings. It is language-neutral in its application, appearing in mathematics textbooks and academic papers in both English and Portuguese-speaking countries. The concept is fundamental in combinatorics and has applications in computer science and discrete mathematics.