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In computer science, the two-way string-matching algorithm is a string-searching algorithm, discovered by Maxime Crochemore and Dominique Perrin in 1991. [1] It takes a pattern of size m, called a “needle”, preprocesses it in linear time O(m), producing information that can then be used to search for the needle in any “haystack” string, taking only linear time O(n) with n being the ...
With online algorithms the pattern can be processed before searching but the text cannot. In other words, online techniques do searching without an index. Early algorithms for online approximate matching were suggested by Wagner and Fischer [3] and by Sellers. [2] Both algorithms are based on dynamic programming but solve different problems.
A basic example of string searching is when the pattern and the searched text are arrays of elements of an alphabet Σ. Σ may be a human language alphabet, for example, the letters A through Z and other applications may use a binary alphabet (Σ = {0,1}) or a DNA alphabet (Σ = {A,C,G,T}) in bioinformatics .
A word search. A word search, word find, word seek, word sleuth or mystery word puzzle is a word game that consists of the letters of words placed in a grid, which usually has a rectangular or square shape. The objective of this puzzle is to find and mark all the words hidden inside the box. The words may be placed horizontally, vertically, or ...
The key insight in this algorithm is that if the end of the pattern is compared to the text, then jumps along the text can be made rather than checking every character of the text. The reason that this works is that in lining up the pattern against the text, the last character of the pattern is compared to the character in the text.
Pattern search may refer to: Pattern search (optimization) Pattern recognition (computing) Pattern recognition (psychology) Pattern mining; String searching algorithm;
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The word over the alphabet {,} obtained by taking the first difference of the Thue–Morse sequence is an example of an infinite square-free word. [9] [10] The patterns and are unavoidable on any alphabet, since they are factors of the Zimin words. [11] [1]