haskal Help

Can someone please explain to me Functors & Monads?

Monads are one way of designing computations. A monad is useful because you can combine simple monads together to form complex computations while remaining controllable. A monad is a triple made up of a type and two functions called unit and bind. All monads must follow three basic laws (that I won't type here because it's easy to find). These basic laws means that a monad of one type will combine with another monad of the same type.

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>LE HASKAL FOR A GREAT GOOD LELELELELLLLLLLLLLLEEELE

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LE UPGOAT PLS

>>3
Nope.

>>4
E/G/IN SAGE /G/RO

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A monad is a lax monoidal endofunctor. It consists of a triple, a natural transformation 1 -> T and T² -> T and a functor C -> C. In haskell this is return (1c -> T), join (T² -> T) and fmap (C -> C).

>>3

Talks shit.

Not all monads can be 'combined' at least not in the way he suggests. You can take the Sum or Product of two functors. These behave as a monad again. These basic laws means that the categorical diagram of monad commute. Nothing more than that. Try combine the ST monad transformer with a non deterministic monad.

A functor is a comparator between two categories. It is the logic generalization of a function, which is a comparator between objects.

A morphism is a comparator between two functors. Also called natural transformations.

monad is just an array of callbacks.