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:
“During the late war [the American Revolution] I had an infallible rule for deciding what [Great Britain] would do on every occasion. It was, to consider what they ought to do, and to take the reverse of that as what they would assuredly do, and I can say with truth that I was never deceived.”
—Thomas Jefferson (1743–1826)
“... married women work and neglect their children because the duties of the homemaker become so depreciated that women feel compelled to take a job in order to hold the respect of the community. It is one thing if women work, as many of them must, to help support the family. It is quite another thing—it is destructive of woman’s freedom—if society forces her out of the home and into the labor market in order that she may respect herself and gain the respect of others.”
—Agnes E. Meyer (1887–1970)