What does monad (category theory) mean?
Definitions for monad (category theory)
mon·ad (cat·e·go·ry the·o·ry)
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Wikipedia
Monad (category theory)
In category theory, a branch of mathematics, a monad (also triple, triad, standard construction and fundamental construction) is a monoid in the category of endofunctors. An endofunctor is a functor mapping a category to itself, and a monad is an endofunctor together with two natural transformations required to fulfill certain coherence conditions. Monads are used in the theory of pairs of adjoint functors, and they generalize closure operators on partially ordered sets to arbitrary categories. Monads are also useful in the theory of datatypes and in functional programming languages, allowing languages with non-mutable states to do things such as simulate for-loops; see Monad (functional programming).
Numerology
Chaldean Numerology
The numerical value of monad (category theory) in Chaldean Numerology is: 8
Pythagorean Numerology
The numerical value of monad (category theory) in Pythagorean Numerology is: 7
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"monad (category theory)." Definitions.net. STANDS4 LLC, 2024. Web. 29 Apr. 2024. <https://www.definitions.net/definition/monad+%28category+theory%29>.
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