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# Arity

In logic, mathematics, and computer science, the arity of a function or operation is the number of arguments or operands the function or operation accepts. [1]

78 relations: ?:, Absolute value, Addition, Arbitrary-precision arithmetic, Argument of a function, Assembly language, Binary number, Binary operation, Binary relation, C (programming language), C Sharp (programming language), C++, Cardinality, Cartesian product, Charles Sanders Peirce, Complex conjugate, Computer programming, Computer science, Conditional operator, Constant (mathematics), Currying, Dc (computer program), Distributive number, Domain of a function, Exclusive or, Factorial, Finitary relation, Floor and ceiling functions, Forth (programming language), Fractional part, Function (mathematics), Functional programming, Global variable, Greek language, Hexadecimal, Higher-order function, Java (programming language), Lambda calculus, Latin, Linguistics, List of chess variants, Logic, Mathematics, Michiel Hazewinkel, Millenary Petition, ML (programming language), Multilinear map, Multiplication operator, Multiplicative inverse, N-ary code, ... Expand index (28 more) »

## ?:

In computer programming, ?: is a ternary operator that is part of the syntax for a basic conditional expression in several programming languages.

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## Absolute value

In mathematics, the absolute value (or modulus) of a real number is the non-negative value of without regard to its sign.

Addition (often signified by the plus symbol "+") is one of the four elementary, mathematical operations of arithmetic, with the others being subtraction, multiplication and division.

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## Arbitrary-precision arithmetic

In computer science, arbitrary-precision arithmetic, also called bignum arithmetic, multiple precision arithmetic, or sometimes infinite-precision arithmetic, indicates that calculations are performed on numbers whose digits of precision are limited only by the available memory of the host system.

## Argument of a function

In mathematics, an argument of a function is a specific input in the function, also known as an independent variable.

## Assembly language

An assembly language (or assembler language) is a low-level programming language for a computer, or other programmable device, in which there is a very strong (generally one-to-one) correspondence between the language and the architecture's machine code instructions.

## Binary number

In mathematics and digital electronics, a binary number is a number expressed in the binary numeral system, or base-2 numeral system, which represents numeric values using two different symbols: typically 0 (zero) and 1 (one).

## Binary operation

In mathematics, a binary operation on a set is a calculation that combines two elements of the set (called operands) to produce another element of the set (more formally, an operation whose arity is two, and whose two domains and one codomain are (subsets of) the same set).

## Binary relation

In mathematics, a binary relation on a set A is a collection of ordered pairs of elements of A. In other words, it is a subset of the Cartesian product A2.

## C (programming language)

C (as in the letter ''c'') is a general-purpose, imperative computer programming language, supporting structured programming, lexical variable scope and recursion, while a static type system prevents many unintended operations.

## C Sharp (programming language)

C#By convention, a number sign is used for the second character in normal text; in artistic representations, sometimes a true sharp sign is used: C♯.

## C++

C++ (pronounced as cee plus plus) is a general-purpose programming language.

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## Cardinality

In mathematics, the cardinality of a set is a measure of the "number of elements of the set".

## Cartesian product

In mathematics, a Cartesian product is a mathematical operation which returns a set (or product set or simply product) from multiple sets.

## Charles Sanders Peirce

Charles Sanders Peirce (like "purse", September 10, 1839 – April 19, 1914) was an American philosopher, logician, mathematician, and scientist who is sometimes known as "the father of pragmatism".

## Complex conjugate

In mathematics, the complex conjugate of a complex number is the number with equal real part and imaginary part equal in magnitude but opposite in sign.

## Computer programming

Computer programming (often shortened to programming) is a process that leads from an original formulation of a computing problem to executable computer programs.

## Computer science

Computer science deals with the theoretical foundations of information and computation, together with practical techniques for the implementation and application of these foundations Computer science is the scientific and practical approach to computation and its applications.

## Conditional operator

A conditional operator is a type of operator.

## Constant (mathematics)

In mathematics, the adjective constant means non-varying.

## Currying

In mathematics and computer science, currying is the technique of translating the evaluation of a function that takes multiple arguments (or a tuple of arguments) into evaluating a sequence of functions, each with a single argument (partial application).

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## Dc (computer program)

dc is a cross-platform reverse-polish desk calculator which supports arbitrary-precision arithmetic.

## Distributive number

In linguistics, more precisely in traditional grammar, a distributive number is a word that answers "how many times each?" or "how many at a time?", such as singly or doubly.

## Domain of a function

In mathematics, and more specifically in naive set theory, the domain of definition (or simply the domain) of a function is the set of "input" or argument values for which the function is defined.

## Exclusive or

Exclusive disjunction or exclusive or is a logical operation that outputs true only when both inputs differ (one is true, the other is false).

## Factorial

In mathematics, the factorial of a non-negative integer n, denoted by n!, is the product of all positive integers less than or equal to n. For example, The value of 0! is 1, according to the convention for an empty product.

## Finitary relation

In mathematics, a finitary relation has a finite number of "places".

## Floor and ceiling functions

In mathematics and computer science, the floor and ceiling functions map a real number to the largest previous or the smallest following integer, respectively.

## Forth (programming language)

Forth is an imperative stack-based computer programming language and programming environment.

## Fractional part

The fractional part of a non‐negative real number x is the excess beyond that number integer part: \operatorname (x).

## Function (mathematics)

In mathematics, a function is a relation between a set of inputs and a set of permissible outputs with the property that each input is related to exactly one output.

## Functional programming

In computer science, functional programming is a programming paradigm—a style of building the structure and elements of computer programs—that treats computation as the evaluation of mathematical functions and avoids changing-state and mutable data.

## Global variable

In computer programming, a global variable is a variable with global scope, meaning that it is visible (hence accessible) throughout the program, unless shadowed.

## Greek language

Greek or Hellenic (Modern Greek: ελληνικά, elliniká, "Greek", ελληνική γλώσσα, ellinikí glóssa, "Greek language") is an independent branch of the Indo-European family of languages, native to the southern Balkans, the Aegean Islands, western Asia Minor, parts of northern and Eastern Anatolia and the South Caucasus, southern Italy, Albania and Cyprus.

In mathematics and computing, hexadecimal (also base, or hex) is a positional numeral system with a radix, or base, of 16.

## Higher-order function

In mathematics and computer science, a higher-order function (also functional, functional form or functor; not to be confused with the functor concept in category theory) is a function that does at least one of the following.

## Java (programming language)

Java is a general-purpose computer programming language that is concurrent, class-based, object-oriented, and specifically designed to have as few implementation dependencies as possible.

## Lambda calculus

Lambda calculus (also written as λ-calculus) is a formal system in mathematical logic for expressing computation based on function abstraction and application using variable binding and substitution.

## Latin

Latin (Latin: lingua latīna) is a classical language belonging to the Italic branch of the Indo-European languages.

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## Linguistics

Linguistics is the scientific study of language.

## List of chess variants

A chess variant (or unorthodox chess) is a game "related to, derived from or inspired by chess".

## Logic

Logic (from the λογική, logike) is the branch of philosophy concerned with the use and study of valid reasoning.

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## Mathematics

Mathematics (from Greek μάθημα máthēma, “knowledge, study, learning”) is the study of topics such as quantity (numbers), structure, space, and change.

## Michiel Hazewinkel

Michiel Hazewinkel (born June 22, 1943) is a Dutch mathematician, and Emeritus Professor of Mathematics at the Centre for Mathematics and Computer and the University of Amsterdam, particularly known for his 1978 book Formal groups and applications and as editor of the Encyclopedia of Mathematics.

## Millenary Petition

The Millenary Petition was a list of requests given to James I by Puritans in 1603 when he was travelling to London in order to claim the English throne.

## ML (programming language)

ML is a general-purpose functional programming language developed by Robin Milner and others in the early 1970s at the University of Edinburgh, whose syntax is inspired by ISWIM.

## Multilinear map

In linear algebra, a multilinear map is a function of several variables that is linear separately in each variable.

## Multiplication operator

In operator theory, a multiplication operator is an operator T defined on some vector space of functions and whose value at a function φ is given by multiplication by a fixed function f. That is, for all φ in the function space and all x in the domain of φ (which is the same as the domain of f).

## Multiplicative inverse

In mathematics, a multiplicative inverse or reciprocal for a number x, denoted by 1/x or x&minus;1, is a number which when multiplied by x yields the multiplicative identity, 1.

## N-ary code

In telecommunication, a n-ary code is a code that has n significant conditions, where n is a positive integer greater than 1.

## N-ary group

In mathematics, and in particular universal algebra, the concept of n-ary group (also called n-group or multiary group) is a generalization of the concept of group to a set G with an ''n''-ary operation instead of a binary operation.

## Negation

In logic, negation, also called logical complement, is an operation that takes a proposition p to another proposition "not p", written ¬p, which is interpreted intuitively as being true when p is false and false when p is true.

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## Norm (mathematics)

In linear algebra, functional analysis, and related areas of mathematics, a norm is a function that assigns a strictly positive length or size to each vector in a vector space—save for the zero vector, which is assigned a length of zero.

## Numeral system

A numeral system (or system of numeration) is a writing system for expressing numbers, that is, a mathematical notation for representing numbers of a given set, using digits or other symbols in a consistent manner.

## Object composition

In computer science, object composition (not to be confused with function composition) is a way to combine simple objects or data types into more complex ones.

## Operand

In mathematics, an operand is the object of a mathematical operation, a quantity on which an operation is performed.

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## Operation (mathematics)

The general operation as explained on this page should not be confused with the more specific operators on vector spaces.

## Operator (computer programming)

Programming languages typically support a set of operators: constructs which behave generally like functions, but which differ syntactically or semantically from usual functions.

## Parameter

A parameter (from the Ancient Greek παρά, "para", meaning "beside, subsidiary" and μέτρον, "metron", meaning "measure"), in its common meaning, is a characteristic, feature, or measurable factor that can help in defining a particular system.

## Perl

Perl is a family of high-level, general-purpose, interpreted, dynamic programming languages.

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## Plural quantification

In mathematics and logic, plural quantification is the theory that an individual variable x may take on plural, as well as singular, values.

## Predicate (mathematical logic)

In mathematics, a predicate is commonly understood to be a Boolean-valued function P: X→, called the predicate on X. However, predicates have many different uses and interpretations in mathematics and logic, and their precise definition, meaning and use will vary from theory to theory.

## Product topology

In topology and related areas of mathematics, a product space is the cartesian product of a family of topological spaces equipped with a natural topology called the product topology.

## Python (programming language)

Python is a widely used general-purpose, high-level programming language.

## Reference (computer science)

In computer science, a reference is a value that enables a program to indirectly access a particular datum, such as a variable or a record, in the computer's memory or in some other storage device.

## Side effect (computer science)

In computer science, a function or expression is said to have a side effect if it modifies some state or has an observable interaction with calling functions or the outside world.

## Sign (mathematics)

In mathematics, the concept of sign originates from the property of every non-zero real number to be positive or negative.

## Signature (logic)

In logic, especially mathematical logic, a signature lists and describes the non-logical symbols of a formal language.

## Subroutine

In computer programming, a subroutine is a sequence of program instructions that perform a specific task, packaged as a unit.

## Syntax (programming languages)

In computer science, the syntax of a computer language is the set of rules that defines the combinations of symbols that are considered to be a correctly structured document or fragment in that language.

## Ternary operation

In mathematics, a ternary operation is an ''n''-ary operation with n.

## Ternary relation

In mathematics, a ternary relation or triadic relation is a finitary relation in which the number of places in the relation is three.

## Tuple

A tuple is a finite ordered list of elements.

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## Two's complement

Two's complement is a mathematical operation on binary numbers, as well as a binary signed number representation based on this operation.

## Unary operation

In mathematics, a unary operation is an operation with only one operand, i.e. a single input.

## Valency (linguistics)

In linguistics, verb valency or valence refers to the number of arguments controlled by a verbal predicate.