Lexicographical Order - Reverse Lexicographic Order

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.:

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Alternatively, sorting may be done by the sum of the exponents, downward.

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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)