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What (who) is Quotient of a formal language - definition
Quotient of a formal language
In mathematics and computer science, the right quotient (or simply quotient) of a language L_1 with respect to language L_2 is the language consisting of strings w such that wx is in L_1 for some string x in Formally:
Formal language
![Strings of symbols]] may be broadly divided into nonsense and [[well-formed formula]]s. The set of well-formed formulas is divided into [[theorem]]s and non-theorems.](https://commons.wikimedia.org/wiki/Special:FilePath/Formal languages.svg?width=200 "Strings of symbols]] may be broadly divided into nonsense and [[well-formed formula]]s. The set of well-formed formulas is divided into [[theorem]]s and non-theorems.")
SET OF STRINGS OF SYMBOLS THAT MAY BE CONSTRAINED BY RULES THAT ARE SPECIFIC TO IT; WORDS WHOSE LETTERS ARE TAKEN FROM AN ALPHABET AND ARE WELL-FORMED ACCORDING TO A SPECIFIC SET OF RULES
Formal language theory; Formal languages; Language (computability); Language (computer science); Symbolic meaning; Formal expression; Language (mathematics); Language (logic); Empty language; Formal model; Symbolic system; Language (mathematical logic); Word (formal languages); Operations on languages; Complement of a language; Concatenation of languages; Applications of formal language theory; Set operations on formal languages; Operations on formal languages; Word (formal language theory)
In logic, mathematics, computer science, and linguistics, a formal language consists of words whose letters are taken from an alphabet and are well-formed according to a specific set of rules.
Quotient space (linear algebra)
VECTOR SPACE CONSISTING OF AFFINE SUBSETS
Linear quotient space; Quotient vector space
In linear algebra, the quotient of a vector space V by a subspace N is a vector space obtained by "collapsing" N to zero. The space obtained is called a quotient space and is denoted V/N (read "V mod N" or "V by N").
