Definitions
from Wiktionary, Creative Commons Attribution/ShareAlike License.
 adjective mathematics of, or relating to, n entities (where n is an arbitrary or large number)
Etymologies
from Wiktionary, Creative Commons Attribution/ShareAlike License
Examples

We can think of the “extension” of an nary quantifier or sentential connective C on a domain D as a function from ntuples of sets of assignments (of values from D to the language's variables) to sets of assignments.

If one thinks of a structure as a kind of ordered ntuple of sets etc., then a class Mod (T) becomes an nary relation, and Pasch's account agrees with ours.

And we interpret each nary operation symbol f as the nary operation that takes any n terms t1,

In algebraic geometry varieties transform via regular nary functions f: An

Thus, the class of nary relations of elements of U (for any given n), the class of nary relations among relations of elements of

Dn and range included in D, a permutation of the class of nary relations among relations of elements of D, etc.

(A1, ¦, An) is the type of nary relations over objects of respective types

Î¸ on the carrier A of A that satisfies for every nary connective — L the following compatibility property: for every a1,

A standard interpretation is given by a nonempty domain M and for each nary predicate P by a nary fuzzy relation on M, i.e., a mapping assigning to each ntuple of elements of

P of a domain of individuals D induces a permutation of the class of nary relations of elements of D, a permutation of the class of functions with n arguments with domain
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