A strict weak order that is trichotomous is called a strict total order. The total preorder which is the inverse of its complement is in this case a total order.
Read more about this topic: Strict Weak Ordering
Famous quotes containing the words strict, total and/or order:
“We know what boredom is: it is a dull
Impatience or a fierce velleity,
A champing wish, stalled by our lassitude,
To make or do. In the strict sense, of course,
We invent nothing, merely bearing witness
To what each morning brings again to light:”
—Richard Wilbur (b. 1921)
“It seems certain, that though a man, in a flush of humour, after intense reflection on the many contradictions and imperfections of human reason, may entirely renounce all belief and opinion, it is impossible for him to persevere in this total scepticism, or make it appear in his conduct for a few hours.”
—David Hume (1711–1776)
“In order to exist just once in the world, it is necessary never again to exist.”
—Albert Camus (1913–1960)