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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 that the function takes. 

87 relations: ?:, Abraham Robinson, 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++, Cardinal number, Cardinality, Cartesian product, Charles Sanders Peirce, Complex conjugate, Complex instruction set computer, 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, Googolplex, Greek language, Hexadecimal, Higher-order function, Java (programming language), Julia (programming language), Lambda calculus, Latin, Linguistics, List of chess variants, Logic, Mathematics, Metric prefix, Millenary Petition, ... Expand index (37 more) »

## ?:

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

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## Abraham Robinson

Abraham Robinson (born Robinsohn; October 6, 1918 – April 11, 1974) was a mathematician who is most widely known for development of non-standard analysis, a mathematically rigorous system whereby infinitesimal and infinite numbers were reincorporated into modern mathematics.

## 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 basic operations of arithmetic; the others are 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 (or assembler) language, often abbreviated asm, is a low-level programming language, in which there is a very strong (but often not one-to-one) correspondence between the assembly program statements and the architecture's machine code instructions.

## Binary number

In mathematics and digital electronics, a binary number is a number expressed in the base-2 numeral system or binary numeral system, which uses only two 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.

## Binary relation

In mathematics, a binary relation on a set A is a set 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# (/si: ʃɑːrp/) is a multi-paradigm programming language encompassing strong typing, imperative, declarative, functional, generic, object-oriented (class-based), and component-oriented programming disciplines.

## C++

C++ ("see plus plus") is a general-purpose programming language.

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## Cardinal number

In mathematics, cardinal numbers, or cardinals for short, are a generalization of the natural numbers used to measure the cardinality (size) of sets.

## Cardinality

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

## Cartesian product

In set theory (and, usually, in other parts of mathematics), a Cartesian product is a mathematical operation that returns a set (or product set or simply product) from multiple sets.

## Charles Sanders Peirce

Charles Sanders Peirce ("purse"; 10 September 1839 – 19 April 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 an equal real part and an imaginary part equal in magnitude but opposite in sign.

## Complex instruction set computer

A complex instruction set computer (CISC) is a computer in which single instructions can execute several low-level operations (such as a load from memory, an arithmetic operation, and a memory store) or are capable of multi-step operations or addressing modes within single instructions.

## Computer programming

Computer programming is the process of building and designing an executable computer program for accomplishing a specific computing task.

## 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.

## 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.

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## Dc (computer program)

dc (desk calculator) is a cross-platform reverse-polish 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 or or exclusive disjunction is a logical operation that outputs true only when 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 function is the function that takes as input a real number x and gives as output the greatest integer less than or equal to x, denoted \operatorname(x).

## Forth (programming language)

Forth is an imperative stack-based computer programming language and environment originally designed by Charles "Chuck" Moore.

## Fractional part

The fractional part or decimal part of a non‐negative real number x is the excess beyond that number's integer part.

## Function (mathematics)

In mathematics, a function was originally the idealization of how a varying quantity depends on another quantity.

## 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.

## Googolplex

A googolplex is the number 10, or equivalently, 10.

## Greek language

Greek (Modern Greek: ελληνικά, elliniká, "Greek", ελληνική γλώσσα, ellinikí glóssa, "Greek language") is an independent branch of the Indo-European family of languages, native to Greece and other parts of the Eastern Mediterranean and the Black Sea.

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) 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.

## Julia (programming language)

Julia is a high-level dynamic programming language designed to address the needs of high-performance numerical analysis and computational science, without the typical need of separate compilation to be fast, while also being effective for general-purpose programming, web use or as a specification language.

## 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, and involves an analysis of language form, language meaning, and language in context.

## 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 logikḗ), originally meaning "the word" or "what is spoken", but coming to mean "thought" or "reason", is a subject concerned with the most general laws of truth, and is now generally held to consist of the systematic study of the form of valid inference.

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## Mathematics

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

## Metric prefix

A metric prefix is a unit prefix that precedes a basic unit of measure to indicate a multiple or fraction of the unit.

## 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 (Meta Language) is a general-purpose functional programming language.

## 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 defined on some vector space of functions and whose value at a function is given by multiplication by a fixed function.

## 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, an 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 the logical complement, is an operation that takes a proposition P to another proposition "not P", written \neg P (¬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, i.e. it is the quantity that is operated on.

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## Operation (mathematics)

In mathematics, an operation is a calculation from zero or more input values (called operands) to an output value.

## 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.

## Ordinal number

In set theory, an ordinal number, or ordinal, is one generalization of the concept of a natural number that is used to describe a way to arrange a collection of objects in order, one after another.

## Parameter

A parameter (from the Ancient Greek παρά, para: "beside", "subsidiary"; and μέτρον, metron: "measure"), generally, is any characteristic that can help in defining or classifying a particular system (meaning an event, project, object, situation, etc.). That is, a parameter is an element of a system that is useful, or critical, when identifying the system, or when evaluating its performance, status, condition, etc.

## Perl

Perl is a family of two high-level, general-purpose, interpreted, dynamic programming languages, Perl 5 and Perl 6.

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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 mathematical logic, 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 an interpreted high-level programming language for general-purpose programming.

## Reduced instruction set computer

A reduced instruction set computer, or RISC (pronounced 'risk'), is one whose instruction set architecture (ISA) allows it to have fewer cycles per instruction (CPI) than a complex instruction set computer (CISC).

## 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's value 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 outside its scope or has an observable interaction with its calling functions or the outside world besides returning a value.

## Sign (mathematics)

In mathematics, the concept of sign originates from the property of every non-zero real number of being 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 performs 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

In mathematics, a tuple is a finite ordered list (sequence) of elements.

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## Two's complement

Two's complement is a mathematical operation on binary numbers, best known for its role in computing as a method of signed number representation.

## Unary operation

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

## Unit prefix

A unit prefix is a specifier or mnemonic that is prepended to units of measurement to indicate multiples or fractions of the units.

## Valency (linguistics)

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

In mathematics and in computer programming, a variadic function is a function of indefinite arity, i.e., one which accepts a variable number of arguments.

## Willard Van Orman Quine

Willard Van Orman Quine (known to intimates as "Van"; June 25, 1908 – December 25, 2000) was an American philosopher and logician in the analytic tradition, recognized as "one of the most influential philosophers of the twentieth century." From 1930 until his death 70 years later, Quine was continually affiliated with Harvard University in one way or another, first as a student, then as a professor of philosophy and a teacher of logic and set theory, and finally as a professor emeritus who published or revised several books in retirement.

## Yotta-

Yotta is the largest decimal unit prefix in the metric system, denoting a factor of 1024 or; that is, one million million million million, or one septillion.

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## References

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