Functions Between Partial Orders
- Monotonic
- Pointwise order of functions
- Galois connection
- Order embedding
- Order isomorphism
- Closure operator
- Functions that preserve suprema/infima
Read more about this topic: List Of Order Theory Topics
Famous quotes containing the words functions, partial and/or orders:
“Nobody is so constituted as to be able to live everywhere and anywhere; and he who has great duties to perform, which lay claim to all his strength, has, in this respect, a very limited choice. The influence of climate upon the bodily functions ... extends so far, that a blunder in the choice of locality and climate is able not only to alienate a man from his actual duty, but also to withhold it from him altogether, so that he never even comes face to face with it.”
—Friedrich Nietzsche (18441900)
“America is hard to see.
Less partial witnesses than he
In book on book have testified
They could not see it from outside....”
—Robert Frost (18741963)
“Punishment may make us obey the orders we are given, but at best it will only teach an obedience to authority, not a self-control which enhances our self-respect.”
—Bruno Bettelheim (20th century)