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:
“My father and I were always on the most distant terms when I was a boy—a sort of armed neutrality, so to speak. At irregular intervals this neutrality was broken, and suffering ensued; but I will be candid enough to say that the breaking and the suffering were always divided up with strict impartiality between us—which is to say, my father did the breaking, and I did the suffering.”
—Mark Twain [Samuel Langhorne Clemens] (1835–1910)
“You need an infinite stretch of time ahead of you to start to think, infinite energy to make the smallest decision. The world is getting denser. The immense number of useless projects is bewildering. Too many things have to be put in to balance up an uncertain scale. You can’t disappear anymore. You die in a state of total indecision.”
—Jean Baudrillard (b. 1929)
“You listen to artists fighting with each other, competing to the death like gladiators, in order to see who is going to get into a show, who is going to make it, who isn’t: who is going to get a full-page ad and who is going to get a half-page. Then I think, “Wouldn’t it be wonderful to go off somewhere and just do your work?””
—Howardena Pindell (b. 1943)