• In mathematics, a unary function is a function that takes one argument. A unary operator belongs to a subset of unary functions, in that its codomain...
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  • example is any function ⁠ f : A → A {\displaystyle f:A\rightarrow A} ⁠, where A is a set; the function ⁠ f {\displaystyle f} ⁠ is a unary operation on A...
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  • numbers Unary function, a function that takes one argument; in computer science, a unary operator is a subset of unary function Unary operation, a kind...
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  • Arity (redirect from 0-ary function)
    suffix. For example: A nullary function takes no arguments. Example: f ( ) = 2 {\displaystyle f()=2} A unary function takes one argument. Example: f (...
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  • not primitive recursive functions are known: The function that takes m to Ackermann(m,m) is a unary total recursive function that is not primitive recursive...
    40 KB (7,348 words) - 09:34, 30 July 2025
  • such as f ( x ) = x 2 {\displaystyle f(x)=x^{2}} , is called a unary function. A function of two or more variables is considered to have a domain consisting...
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  • giving the notion of bilinear transformation above. Arity Unary operation Unary function Binary operation Iterated binary operation Ternary operation...
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  • {\displaystyle f(f^{n}(x))=f^{n}(f(x))} . Conceiving the Ackermann function as a sequence of unary functions, one can set A m ⁡ ( n ) = A ⁡ ( m , n ) {\displaystyle...
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  • are an important special case. A unary function whose return type is bool is called a predicate, and a binary function whose return type is bool is called...
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  • constant 0; The unary function, the successor function, here denoted by prefix S, or by prefix σ or postfix ′ elsewhere; Two binary functions, denoted by...
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  • elements A {\displaystyle A} together with two binary functions, that can be enhanced with a unary function, and two distinguished elements; but there is no...
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  • validity) A concrete function may be also referred to as an operator. In two-valued logic there are 2 nullary operators (constants), 4 unary operators, 16 binary...
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  • complement is also elementary. Let σ be a signature consisting only of a unary function symbol f. The class K of σ-structures in which f is one-to-one is a...
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  • which function definitions do not identify the arguments (or "points") on which they operate. Instead the definitions merely compose other functions, among...
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  • =if(C, x, y). Unary operation Unary function Binary operation Iterated binary operation Binary function Median algebra or Majority function Ternary conditional...
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  • The unary numeral system is the simplest numeral system to represent natural numbers: to represent a number N, a symbol representing 1 is repeated N times...
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  • \neg (P(x)\rightarrow Q(f(y),x,z)))} is a formula, if f is a unary function symbol, P a unary predicate symbol, and Q a ternary predicate symbol. However...
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  • Thumbnail for Formula
    a formula, provided that f {\displaystyle f} is a unary function symbol, P {\displaystyle P} a unary predicate symbol, and Q {\displaystyle Q} a ternary...
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  • either: a relation symbol of arity no less than 2, or two unary function symbols, or one function symbol of arity no less than 2, established by Trakhtenbrot...
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  • util.function.*; class Main { public static void main(String[] args) { Function<IntUnaryOperator, IntUnaryOperator> twice = f -> f.andThen(f); IntUnaryOperator...
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  • by std::unique_ptr. Function object base classes (std::unary_function, std::binary_function), adapters to pointers to functions and adapters to pointers...
    102 KB (13,190 words) - 16:36, 13 July 2025
  • Thumbnail for Floor and ceiling functions
    Floor and ceiling functions In mathematics, the floor function is the function that takes as input a real number x, and gives as output the greatest integer...
    37 KB (5,912 words) - 19:47, 29 July 2025
  • Thumbnail for Axiom
    {\displaystyle 0} is a constant symbol and S {\displaystyle S} is a unary function and the following axioms: ∀ x . ¬ ( S x = 0 ) {\displaystyle \forall...
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  • Thumbnail for Inverse function
    In mathematics, the inverse function of a function f (also called the inverse of f) is a function that undoes the operation of f. The inverse of f exists...
    43 KB (5,224 words) - 09:30, 6 June 2025
  • Grzegorczyk hierarchy (category Hierarchy of functions)
    E 0 {\displaystyle E_{0}} is the addition function, and E 1 {\displaystyle E_{1}} is a unary function which squares its argument and adds two. Then...
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  • Thumbnail for Polish notation
    (here the "−" denotes the binary operation of subtraction, not the unary function of sign-change), any well-formed prefix representation is unambiguous...
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  • Giuseppe Peano in 1889. He chose the axioms, in the language of a single unary function symbol S (short for "successor"), for the set of natural numbers to...
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  • twelve-tone musical technique Derivation (differential algebra), a unary function satisfying the Leibniz product law Formal proof or derivation, a sequence...
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  • In computational complexity theory, a unary language or tally language is a formal language (a set of strings) where all strings have the form 1k, where...
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  • {\displaystyle T} . For a constant symbol c {\displaystyle c} and a unary function symbol f ( ⋅ ) {\displaystyle f(\,\cdot \,)} we have the following interpretation:...
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