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:
“They shall beat their swords into plowshares, and their spears into pruninghooks: nation shall not lift up sword against nation, neither shall they learn war any more.”
—Bible: Hebrew Isaiah, 2:4.
The words reappear in Micah 4:3, and the reverse injunction is made in Joel 3:10 (Beat your plowshares into swords ...)
“The experience and behaviour that gets labelled schizophrenic is a special strategy that a person invents in order to live in an unlivable situation.”
—R.D. (Ronald David)