Reverse Lexicographic Order
In a common variation of lexicographic order, one compares elements by reading from the right instead of from the left, i.e., the right-most component is the most significant, e.g. applied in a rhyming dictionary.
In the case of monomials one may sort the exponents downward, with the exponent of the first base variable as primary sort key, e.g.:
- .
Alternatively, sorting may be done by the sum of the exponents, downward.
Read more about this topic: Lexicographical Order
Famous quotes containing the words reverse and/or order:
“Now listen, buddy, there are a few corny ideas you got to get out of your head if you’re going to fly an airplane. Most things are just the reverse from what people think. The higher you are the safer you are. The Earth down there, that, that’s your enemy because once you hit that, boy, you splatter.”
—Dalton Trumbo (1905–1976)
“However fiercely opposed one may be to the present order, an old respect for the idea of order itself often prevents people from distinguishing between order and those who stand for order, and leads them in practise to respect individuals under the pretext of respecting order itself.”
—Antonin Artaud (1896–1948)