The three-way radix quicksort algorithm sorts an array of (pointers to) strings in lexicographic order. The lexicographic order has thus been introduced for sorting the entries of dictionaries and encyclopedias. Prior to the early 20th century, cryptography was mainly concerned with linguistic and lexicographic patterns. Represents the lexicographic rank of each suffix of an array. A perturbation or lexicographic strategy can be used to prevent cycling and guarantee termination. A few changes to notation conventions have also been made to alleviate lexicographic ambiguities. Similarly, the infinite lexicographic product is not Noetherian either because is an infinite ascending chain. This ordering is called the lexicographic depth-first search ordering. This is known as "lexicographic" or pre-emptive goal programming. These coefficients lead to a [[lexicographic order]] on positive roots. Garner and the panel rewrote and expanded the dictionary's lexicographic information. An exact formula is also known for the lexicographic product of graphs. The lexicographic method assumes that the objectives can be ranked in the order of importance. The order is lexicographic with the least significant position first. Lexicographic preferences can still exist with general equilibrium.