monad

monad Definition

mo·nad (mō′nad′, män′ad′)

noun

a unit; something simple and indivisible
Biol.
1. any simple, single-celled organism, specif., a simple type of flagellated protozoan or protist
2. any of the four nuclei formed at the completion of meiosis
Chem. a monovalent atom, element, or radical
Philos. an entity or elementary being thought of as a microcosm or ultimate unit

Etymology: LL monas (gen. monadis) < Gr monas (gen. monados), a unit, unity < monos, alone: see mono-

adjective

of a monad or monads

Related Forms:

monad Usage Examples

Converse of object

call: Below this first principle are a second one, which is also called the monad, and the indefinite dyad.
use: It also uses monads for the user interface, although not in the underlying mechanism for defining circuits.

Adjective modifier

strong: Every strong monad is equipped with two standard products, which correspond to left-to-right and right-to-left evaluation.
equational: It is proved using a direct axiomatization of Kleisli categories of equational lifting monads.
self-contained: If we were self-contained monads, we would not need any moral practice, since we would not care about anyone or anything else.
parameterised: We present generalizations of both constructs, which we call parameterised monads and parameterised Freyd categories, that also capture computational effects with parameters.

Modifies a noun

theory: At this stage the monad theory of consciousness is often relevant.
transformer: We further give a theory of the commutative combination of effects, their tensor, which yields Moggi s side-effects monad transformer.
class: For example, one of the axioms of the monad class is the Left unit law.

Noun used with modifier

lifting: It is proved using a direct axiomatization of Kleisli categories of equational lifting monads.

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