monadic's Usage Examples:

A monadic function takes as its argument the result of evaluating everything to its.

shows that this adjunction is in fact the initial monadic adjunction extending the (non-monadic) inclusion functor of the category of finite sets into the one of all sets.

doctoral thesis was "A design algorithm for sequential machines and definability in monadic second-order arithmetic.

{\displaystyle G\colon D\to C} is said to be monadic if it has a left adjoint F {\displaystyle F} forming a monadic adjunction.

Concepts and expressions of this sort are monadic or "one-place" concepts and expressions.

Leibniz later defines the term monadic conatus, as the "state of change" through which his monads perpetually.

Courcelle"s theorem is the statement that every graph property definable in the monadic second-order logic of graphs can be decided in linear time on graphs of.

ExamplesIt follows from Beck's theorem that the forgetful functor from compact Hausdorff spaces to sets is monadic.

The powerset functor from Setop to Set is monadic, where Set is the category of sets.

In abstract algebra, a monadic Boolean algebra is an algebraic structure A with signature ⟨·, +, ", 0, 1, ∃⟩ of type ⟨2,2,1,0,0,1⟩, where ⟨A, ·, +, ".

The forgetful functor from semigroups to sets is monadic.

There are also characterizations based on an equivalent form of automata and monadic second-order logic.