Explain Monads in FP !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
A monad is...
T : X -> X
μ : T × T -> T
×
η : I -> T
I
X
...satisfying these laws:
μ(μ(T × T) × T)) = μ(T × μ(T × T))
μ(η(T)) = T = μ(T(η))
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Explain Monads in FP !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
A monad is...
T : X -> X
μ : T × T -> T
, where×
means functor compositionη : I -> T
, whereI
is the identity endofunctor onX
...satisfying these laws:
μ(μ(T × T) × T)) = μ(T × μ(T × T))
μ(η(T)) = T = μ(T(η))