Concatenation theory, also called string theory, character-string theory, or theoretical syntax, studies character strings over finite alphabets of characters...

language theory and computer programming, string concatenation is the operation of joining character strings end-to-end. For example, the concatenation of "snow"...

closed under union, concatenation, and intersection with regular languages, but not closed under intersection or complement. The theory of trios and abstract...

string theory in Wiktionary, the free dictionary. String theory is a branch of theoretical physics. String theory may also refer to: Concatenation theory, a...

Null-terminated string Concatenation theory String literal Corcoran, John; Frank, William; Maloney, Michael (1974). "String theory". Journal of Symbolic...

phoneme in a language are all examples of applied set theory. Set theory and concatenation theory are used extensively in phonetics and phonology. In phonotactics...

to anything in a universe of discourse of character-string theory, or concatenation theory. Peirce's original words are the following: A common mode of...

information theory, polar codes are a linear block error-correcting codes. The code construction is based on a multiple recursive concatenation of a short...

reception theory of landscapes assumes an "implied visitor", who is an abstracted concatenation of responses of many visitors at different times. The theory recognizes...

concatenation of "snow" and "ball" is "snowball". In certain formalisations of concatenation theory, also called string theory, string concatenation is...

formal language over Σ. Concatenation is an important binary operation on Σ*. For any two strings s and t in Σ*, their concatenation is defined as the sequence...

{\displaystyle l(C)=\sum _{x\in {\mathcal {X}}}l(C(x))\mathbb {P} [X=x].} The concatenation of code words C ( x 1 , … , x k ) = C ( x 1 ) C ( x 2 ) ⋯ C ( x k )...

(augmented with loops as needed) where composition of morphisms is concatenation of paths. Such a category is called the free category generated by the...

permutation of the word is reduced. The product of two words is obtained by concatenation: ( x z y z − 1 ) ( z y − 1 x − 1 y ) = x z y z − 1 z y − 1 x − 1 y ...

alphabet forms a free monoid together with the binary operation of string concatenation (denoted as ⋅ {\displaystyle \cdot } and written multiplicatively by...

) ) → T ( X ) {\displaystyle T(T(X))\to T(X)} made out of a natural concatenation or 'flattening' of 'strings of strings'. This amounts to two natural...

closed under intersection and Kleene star, but not complement, union or concatenation. Every regular language not containing the empty string is the image...

define paths and loops in pointed spaces, which are important in homotopy theory. If X {\displaystyle X} is a topological space with basepoint x 0 , {\displaystyle...

Symbol strings: The theory will build "strings" of these symbols by concatenation (juxtaposition). Formation rules: The theory specifies the rules of...

and the group operation is concatenation. This point of view is particularly common in the field of combinatorial group theory. A presentation is said to...

Axiomatic constructive set theory is an approach to mathematical constructivism following the program of axiomatic set theory. The same first-order language...

groups) are isomorphic to matrix groups; this is the starting point of the theory of group representations. Matrices are the morphisms of a category, the...

(i) a syntactic unit (or concatenation of units) of an idiolect system, (ii) a syntactic structure the unit or concatenation has in the system, (iii)...

{\displaystyle S^{n}} to X {\displaystyle X} , under the group operation of concatenation. The most fundamental homotopy group is the fundamental group π 1 (...

can be smoothly deformed into another, and the group operation is "concatenation" (tracing one loop then the other). For example, as shown in the figure...

closed under the following operations. Union Intersection (see picture) Concatenation Complement Kleene closure Reversal Quotient Substitution Homomorphism...

In the theory of formal languages, the pumping lemma for regular languages is a lemma that describes an essential property of all regular languages. Informally...

inverses is not required of a monoid. A natural example is strings with concatenation as the binary operation, and the empty string as the identity element...

{\displaystyle s} whose existence is guaranteed by axiom 2 is called the gluing, concatenation, or collation of the sections s i {\displaystyle s_{i}} . By axiom 1...

Luce & Tukey 1964 proved that via the theory of conjoint measurement, attributes not capable of concatenation could be quantified. N.R. Campbell and...