The term
monadic has multiple uses: logic and mathematics, a predicate, a relation or a function having an arity of one is called
monadic.
Kaynak: MonadicIn logic , the
monadic predicate calculus (also called
monadic first-order logic) is the fragment of predicate calculus in which all
Kaynak: Monadic predicate calculusThe return operation takes a value from a plain type a and puts it into a
monadic container of type M a; the bind operation chains a
Kaynak: Monad (functional programming)Unary functions or predicates may be also called "
monadic"; similarly, binary functions may be called "dyadic". In mathematics, depending
Kaynak: ArityBy extension, a functor Gcolon D o C is said to be
monadic if it has a left adjoint F forming a
monadic adjunction. Beck's
monadicityKaynak: Monad (category theory)Unary operators (called "
monadic" in APL) are also used in programming languages. C family of languages: In the C family of languages, the
Kaynak: Unary operationIn abstract algebra , a
monadic Boolean algebra is an algebraic structure with signature :〈 A, ·, +, ', 0, 1, ∃〉 of type 〈2,2,1,0,0,1〉,
Kaynak: Monadic Boolean algebraThe
monadic plane (hyperplane ) or continuum /universe , enclosing and interpenetrating grosser hyperplanes, respectively is the plane in
Kaynak: Monadic plane"Featured Creatures" column. The astral deva, the
monadic deva, and the movanic deva first appeared in Dragon 63 (July 1982 The planetar
Kaynak: Angel (Dungeons & Dragons)Leibniz later defines the term
monadic conatus, as the "state of change" through which his monads perpetually advance. Related usages and
Kaynak: ConatusIn category theory , a branch of mathematics , Beck's
monadicity theorem asserts that a functor : U: C o D. is
monadic if and only if
Kaynak: Beck's monadicity theoremIn the study of graph algorithm s, Courcelle's theorem is the statement that every graph property definable in
monadic second-order logic
Kaynak: Courcelle's theoremthe existential fragment of
monadic second-order logic (MSO); it contains all MSO formulas without universal quantifiers. EMŠO, the
Kaynak: EMSOThe astral deva, the
monadic deva, and the movanic deva first appeared in Dragon 63 (July 1982 and were reprinted in the first edition
Kaynak: Deva (Dungeons & Dragons)This also reflects the relationship between the
monadic logic of quantification (for which
monadic Boolean algebras provide an algebraic
Kaynak: Interior algebraMonadic and dyadic functions: Most symbols denote functions. A
monadic function takes as its argument the result of evaluating everything to
Kaynak: APL syntax and symbols