Monads in category theory is defined by triples T, unit, flat⟩. class Monad t where map :: (a -> b) -> (t a -> t b) — functorial action unit :: a -> t a flat :: t (t a) -> t a class KleisliTriple t where unit :: a -> t a flatMap ::Read more
In nonstandard analysis, there is a way of studying topological spaces known as “monads”. The monad of a point $ x$ (written $ \mu(x))$ is the set of all points that are “near” it. In particular, in a topological space $ (X,T)$ , the monad of $ x \in X$ is defined as $ $Read more
I’ve been using a functional approach in my programming of late. I know that mutability and state changes are big no nos within the paradigm. I now find myself working with databases and other data structures where state must be changed. I’ve been trying to learn about monads and other means of interacting with state,Read more
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