total ordering
[/ˈtoʊtəl ˈɔrdərɪŋ/]
nounpl: total orderings
ordenação total
1. A mathematical relation on a set where every pair of elements can be compared and arranged in a sequence, satisfying transitivity, antisymmetry, and totality properties
The set of real numbers has a total ordering where any two numbers can be compared as less than, equal to, or greater than each other.
O conjunto dos números reais possui uma ordenação total onde quaisquer dois números podem ser comparados como menor, igual ou maior um ao outro.
2. In computer science and mathematics, a complete order relation that defines a linear sequence of all elements in a set
A total ordering of tasks is necessary to determine their execution sequence in the algorithm.
Uma ordenação total de tarefas é necessária para determinar sua sequência de execução no algoritmo.
This is a specialized mathematical and computer science term used primarily in academic and professional contexts in both English and Portuguese-speaking countries. It is fundamental in discrete mathematics, logic, and algorithm design, with consistent terminology across Brazil, Portugal, and English-speaking regions.
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