monad|monads in English

noun

[mon·ad || 'məʊnæd /'mɒnæd]

single-celled organism (Biology); flagellated protozoan (Biology); atom or radical with the value of one (Chemistry); inseparable metaphysical entity (Philosophy)

Use "monad|monads" in a sentence

1. Depending on the kind of Computation expression, they can be thought of as a way to express monads, monoids, monad transformers, and applicative functors.

2. One can turn monads into Adjunctions and Adjunctions into monads, but one doesn't always return where one started

3. Relation to Algebras over a monad

4. Some videos introducting Adjunctions and their relationship to monads.

5. A Maybe implements all three, so it is a functor, an Applicative, and a monad

6. In fact, when C C and F F are well-behaved, then Algebras over an endofunctor F F are equivalent to Algebras over a certain monad, the algebraically-free monad generated by F F (Pirog, Gambino-Hyland 04

7. To a category theorist, Algebras over a monad may be more familiar than Algebras over just an endofunctor

8. A spokesperson with the Monad Corporation tells us the facility has been used for psychological testing.

9. Eugenio Moggi and Philip Wadler introduced the use of monads for structuring programs written in functional programming languages.

10. We don’t see a lot of monads derived from Adjunctions in Haskell, because an adjunction usually involves two categories

11. If and are inverse functors, the corresponding monad is the identity functor.In general, Adjunctions are not equivalences—they relate categories of different natures

12. WalthersMainline International Wide-Vision Caboose - Ready to Run -- Northern Pacific #1119 (Boxcar Red, Monad Logo, Main Street Slogan) Part #: 910-8761 Advanced Reservation

13. Monad, Applicative functor, and functor are just functional programming patterns you can use to deal with effects like lists/arrays, trees, hashes/dictionaries, and even functions.

14. For more on monads and Adjunctions, try old episodes of The Tale of n-Categories(which will soon be made into a movie starring Emma Watson and Orlando Bloom).

15. Pretalk Adjunctions and monads Weighted limits Algebras and descent data Monadicity and descent Homotopy coherent Adjunctions A homotopy coherent adjunction in an (1;2)-category K is a simplicial functor Adj !K

16. Prior to the project, the grant recipient's work on order-adjoint monads and injective objects demonstrated the power of the monadic approach to topology by describing the injective objects of lax algebras.

17. Balint and B. Grunberger that it is necessary to acknowledge and to affirm the wish of the analysand to establish and experience a pre-objectal “primary love” resp. an analytic monad.

18. Blastomere - any cell resulting from cleavage of a fertilized egg cell - (biology) the basic structural and functional unit of all organisms; they may exist as independent units of life (as in monads) or may form colonies or tissues as in higher plants and animals

19. Blastema - a mass of undifferentiated cells from which an organ or body part develops cell - (biology) the basic structural and functional unit of all organisms; they may exist as independent units of life (as in monads) or may form colonies or tissues as in higher plants and animals

20. Blastema - a mass of undifferentiated cells from which an organ or body part develops cell - (biology) the basic structural and functional unit of all organisms; they may exist as independent units of life (as in monads) or may form colonies or tissues as in higher plants and animals

21. What are some good examples of Kan extensions, Adjunctions, and (co)monads in analysis, Lie theory, and differential geometry? Since limits and colimits can be characterized as Kan extensions or Adjunctions, we have the obvious standard constructions: (co)products, (co)equalizers, etc., but these are common to a lot of categories we work with.

22. In many Gnostic systems, various emanations of "God" are known by such names as One, Monad, Aion teleos (αἰών τέλεος "The Broadest Aeon"), Bythos (βυθός, "depth" or "profundity"), Proarkhe ("before the beginning", προαρχή), Arkhe ("the beginning", ἀρχή), and Aeons.In different systems these emanations are differently named, classified, and described, but emanation

23. In this way, the projection of the ego-ideal into the analyst as the representative of hope and the relationship which, as it were, develops “behind the back of the analysand” will get attacked, a relationship in which the object develops step by step and opens the door for the transference neurosis because, as Grunberger points out, within the monad the (drive-)object is already waiting.