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  2. Concatenation - Wikipedia

    en.wikipedia.org/wiki/Concatenation

    The strings over an alphabet, with the concatenation operation, form an associative algebraic structure with identity element the null string—a free monoid. Sets of strings with concatenation and alternation form a semiring, with concatenation (*) distributing over alternation (+); 0 is the empty set and 1 the set consisting of just the null ...

  3. Rope (data structure) - Wikipedia

    en.wikipedia.org/wiki/Rope_(data_structure)

    The second case reduces to the first by splitting the string at the split point to create two new leaf nodes, then creating a new node that is the parent of the two component strings. For example, to split the 22-character rope pictured in Figure 2.3 into two equal component ropes of length 11, query the 12th character to locate the node K at ...

  4. Comparison of programming languages (strings) - Wikipedia

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

    COBOL uses the STRING statement to concatenate string variables. MATLAB and Octave use the syntax "[x y]" to concatenate x and y. Visual Basic and Visual Basic .NET can also use the "+" sign but at the risk of ambiguity if a string representing a number and a number are together. Microsoft Excel allows both "&" and the function "=CONCATENATE(X,Y)".

  5. Edit distance - Wikipedia

    en.wikipedia.org/wiki/Edit_distance

    Various algorithms exist that solve problems beside the computation of distance between a pair of strings, to solve related types of problems. Hirschberg's algorithm computes the optimal alignment of two strings, where optimality is defined as minimizing edit distance. Approximate string matching can be formulated in terms of edit distance.

  6. Longest common subsequence - Wikipedia

    en.wikipedia.org/wiki/Longest_common_subsequence

    When the length decreases, the sequences must have had a common element. Several paths are possible when two arrows are shown in a cell. Below is the table for such an analysis, with numbers colored in cells where the length is about to decrease. The bold numbers trace out the sequence, (GA). [6]

  7. Array (data structure) - Wikipedia

    en.wikipedia.org/wiki/Array_(data_structure)

    Tables are often implemented in the form of arrays, especially lookup tables; the word "table" is sometimes used as a synonym of array. Arrays are among the oldest and most important data structures, and are used by almost every program. They are also used to implement many other data structures, such as lists and strings. They effectively ...

  8. Two-way string-matching algorithm - Wikipedia

    en.wikipedia.org/wiki/Two-way_string-matching...

    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 ...

  9. Byte pair encoding - Wikipedia

    en.wikipedia.org/wiki/Byte_pair_encoding

    Byte pair encoding [1] [2] (also known as BPE, or digram coding) [3] is an algorithm, first described in 1994 by Philip Gage, for encoding strings of text into smaller strings by creating and using a translation table. [4] A slightly-modified version of the algorithm is used in large language model tokenizers.