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  2. Lexicographically minimal string rotation - Wikipedia

    en.wikipedia.org/wiki/Lexicographically_minimal...

    Of interest is that removing all lines of code which modify the value of k results in the original Knuth-Morris-Pratt preprocessing function, as k (representing the rotation) will remain zero. Booth's algorithm runs in ⁠ O ( n ) {\displaystyle O(n)} ⁠ time, where n is the length of the string.

  3. Levenshtein distance - Wikipedia

    en.wikipedia.org/wiki/Levenshtein_distance

    A more efficient method would never repeat the same distance calculation. For example, the Levenshtein distance of all possible suffixes might be stored in an array , where [] [] is the distance between the last characters of string s and the last characters of string t. The table is easy to construct one row at a time starting with row 0.

  4. Damerau–Levenshtein distance - Wikipedia

    en.wikipedia.org/wiki/Damerau–Levenshtein_distance

    Informally, the Damerau–Levenshtein distance between two words is the minimum number of operations (consisting of insertions, deletions or substitutions of a single character, or transposition of two adjacent characters) required to change one word into the other.

  5. Edit distance - Wikipedia

    en.wikipedia.org/wiki/Edit_distance

    Given two strings a and b on an alphabet Σ (e.g. the set of ASCII characters, the set of bytes [0..255], etc.), the edit distance d(a, b) is the minimum-weight series of edit operations that transforms a into b. One of the simplest sets of edit operations is that defined by Levenshtein in 1966: [2] Insertion of a single symbol.

  6. Hamming distance - Wikipedia

    en.wikipedia.org/wiki/Hamming_distance

    For a fixed length n, the Hamming distance is a metric on the set of the words of length n (also known as a Hamming space), as it fulfills the conditions of non-negativity, symmetry, the Hamming distance of two words is 0 if and only if the two words are identical, and it satisfies the triangle inequality as well: [2] Indeed, if we fix three words a, b and c, then whenever there is a ...

  7. Ternary search - Wikipedia

    en.wikipedia.org/wiki/Ternary_search

    def ternary_search (f, left, right, absolute_precision)-> float: """Find maximum of unimodal function f() within [left, right]. To find the minimum, reverse the if/else statement or reverse the comparison. """ while abs (right-left) >= absolute_precision: left_third = left + (right-left) / 3 right_third = right-(right-left) / 3 if f (left_third) < f (right_third): left = left_third else: right ...

  8. Approximate string matching - Wikipedia

    en.wikipedia.org/wiki/Approximate_string_matching

    This number is called the edit distance between the string and the pattern. The usual primitive operations are: [1] insertion: cot → coat; deletion: coat → cot; substitution: coat → cost; These three operations may be generalized as forms of substitution by adding a NULL character (here symbolized by *) wherever a character has been ...

  9. Comparison of programming languages (string functions)

    en.wikipedia.org/wiki/Comparison_of_programming...

    Definition find_character(string,char) returns integer Description Returns the position of the start of the first occurrence of the character char in string. If the character is not found most of these routines return an invalid index value – -1 where indexes are 0-based, 0 where they are 1-based – or some value to be interpreted as Boolean ...