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Many authors also use concatenation of a string set and a single string, and vice versa, which are defined similarly by S 1 w = { vw : v ∈ S 1} and vS 2 = { vw : w ∈ S 2}. In these definitions, the string vw is the ordinary concatenation of strings v and w as defined in the introductory section.
In modern standard C++, a string literal such as "hello" still denotes a NUL-terminated array of characters. [1] Using C++ classes to implement a string type offers several benefits of automated memory management and a reduced risk of out-of-bounds accesses, [2] and more intuitive syntax for string comparison and concatenation. Therefore, it ...
A string is defined as a contiguous sequence of code units terminated by the first zero code unit (often called the NUL code unit). [1] This means a string cannot contain the zero code unit, as the first one seen marks the end of the string. The length of a string is the number of code units before the zero code unit. [1]
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)".
Concatenation theory, also called string theory, character-string theory, or theoretical syntax, studies character strings over finite alphabets of characters, signs, symbols, or marks. String theory is foundational for formal linguistics , computer science, logic, and metamathematics especially proof theory. [ 1 ]
(Hyper)cube of binary strings of length 3. Strings admit the following interpretation as nodes on a graph, where k is the number of symbols in Σ: Fixed-length strings of length n can be viewed as the integer locations in an n-dimensional hypercube with sides of length k-1.
String homomorphisms are monoid morphisms on the free monoid, preserving the empty string and the binary operation of string concatenation. Given a language , the set () is called the homomorphic image of . The inverse homomorphic image of a string is defined as
Many extensions of string diagrams have been introduced to represent arrows in monoidal categories with extra structure, forming a hierarchy of graphical languages which is classified in Selinger's Survey of graphical languages for monoidal categories. [10] Braided monoidal categories with 3-dimensional diagrams, a generalisation of braid groups.