Find whether two lists are ordered lexicographically:

Shorter lists are ordered first in canonical order:

Use an ordering function to order elements of the expressions:

Canonical order places 0 before -Infinity:

Heads other than List can be used:

Use LexicographicOrder with two strings:

The computation is equivalent to:

Order associations lexicographically by their values:

Use LexicographicOrder in Ordering to find the position of the last expression in lexical order:

Check whether several lists are sorted lexicographically:

Sort subsets lexicographically:

Compare two monomials lexicographically:

The first monomial is ordered first:

Order is determined by the first element that differs, regardless of total length:

LexicographicOrder returns 0 when the lists have the same elements:

When all elements coincide up to the shortest length, the shorter list is ordered first:

The empty list is sorted before any other list:

LexicographicSort[list] is equivalent to Sort[list,LexicographicOrder]:

Compare with canonical order:

For lists of the same length, LexicographicOrder is equivalent to Order:

LexicographicOrder with strings of letters is equivalent to AlphabeticOrder with default options:

AlphabeticOrder and Order are not lexicographic when the strings contain letters and numbers:

Compare with the ordering of the first characters:

For numeric vectors of equal length, LexicographicOrder[NumericalOrder] is equivalent to NumericalOrder:

VectorLess and related functions are similar to LexicographicOrder[NumericalOrder]: