from The American Heritage® Dictionary of the English Language, 5th Edition.
- noun The number of arguments or operands taken by a function or operator.
from Wiktionary, Creative Commons Attribution/Share-Alike License.
- noun logic, mathematics, computer science The number of
argumentsor operandsa functionor operationtakes. For a relation, the number of domainsin the corresponding Cartesian product.
from WordNet 3.0 Copyright 2006 by Princeton University. All rights reserved.
- noun the number of arguments that a function can take
from Wiktionary, Creative Commons Attribution/Share-Alike License
r is called the arity of the function f, i.e., the number of arguments that it takes.
Then due to its popularity, the dates were extended twice until the end of August.
A structure contains interpretations of certain predicate, function and constant symbols; each predicate or function symbol has a fixed arity.
A signature is a set of individual constants, predicate symbols and function symbols; each of the predicate symbols and function symbols has an arity
In 1870 Peirce published a long paper “Description of a Notation for the Logic of Relatives” in which he introduced for the first time in history, two years before Frege's Begriffschrift a complete syntax for the logic of relations of arbitrary adicity (or: arity).
Again: rheme (by which Peirce meant a relation of arbitrary adicity or arity) was a first, proposition was a second, and argument was a third.
These axioms tacitly specify the arity of a combinator as well as their reduction (or contraction) pattern.
P and Q (or for predicates of higher arity when the variable in their last argument is bound).
Predicates have a fixed finite arity in FOL, and nothing precludes binding at once a variable in the first argument of one predicate and in the second argument of another predicate.
Primitive recursion: if f and g are primitive recursive functions of arity k and k+2, respectively, then there is a primitive recursive function, h, of arity k+1 satisfying the following conditions: