Argument of a function

argumentargumentsinputarguments of a function
In mathematics, an argument of a function is a value that must be provided to obtain the function's result.wikipedia
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Function (mathematics)

functionfunctionsmathematical function
In mathematics, an argument of a function is a value that must be provided to obtain the function's result.
(which is spoken aloud as f of x), the element x is the argument or input of the function, and y is the value of the function, the output, or the image of x by f. The symbol that is used for representing the input is the variable of the function (one often says that f is a function of the variable x).

Arity

nullaryn-arymonadic
The number of arguments that a function takes is called the arity of the function.
In logic, mathematics, and computer science, the arity of a function or operation is the number of arguments or operands that the function takes.

Domain of a function

domaindomainsdomain of definition
A function of two or more variables is considered to have a domain consisting of ordered pairs or tuples of argument values.
In mathematics, 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.

Parameter

parametersparametricargument
A mathematical function has one or more arguments in the form of independent variables designated in the definition, which can also contain parameters.
Mathematical functions have one or more arguments that are designated in the definition by variables.

Logarithm

logarithmsloglogarithmic function
For example, in the logarithmic function, the base b is considered a parameter.
The relation that the logarithm provides between a geometric progression in its argument and an arithmetic progression of values, prompted A. A. de Sarasa to make the connection of Saint-Vincent's quadrature and the tradition of logarithms in prosthaphaeresis, leading to the term "hyperbolic logarithm", a synonym for natural logarithm.

Angle

acute angleobtuse angleoblique
The argument of a circular function is an angle.
A hyperbolic angle is an argument of a hyperbolic function just as the circular angle is the argument of a circular function.

Parameter (computer programming)

parameterparametersargument
Unlike argument in usual mathematical usage, the argument in computer science is thus the actual input expression passed/supplied to a function, procedure, or routine in the invocation/call statement, whereas the parameter is the variable inside the implementation of the subroutine.

Hyperbolic function

hyperbolic tangenthyperbolichyperbolic cosine
The argument of a hyperbolic function is a hyperbolic angle.
Both types depend on an argument, either circular angle or hyperbolic angle.

Dependent and independent variables

dependent variableindependent variableexplanatory variable
It is also called an independent variable.

Binary function

binarybinary operationscomposition
For example, the binary function has two arguments, x and y, in an ordered pair (x, y).

Hypergeometric function

hypergeometric serieshypergeometric differential equationhypergeometric functions
The hypergeometric function is an example of a four-argument function.

Unary function

unary
A function that takes a single argument as input (such as f(x) = x^2) is called a unary function.

Ordered pair

ordered pairspairpairs
A function of two or more variables is considered to have a domain consisting of ordered pairs or tuples of argument values.

Tuple

tuplesn-tuple5-tuple
A function of two or more variables is considered to have a domain consisting of ordered pairs or tuples of argument values.

Trigonometric functions

cosinetrigonometric functiontangent
The argument of a circular function is an angle.

Hyperbolic angle

hyperbolic
The argument of a hyperbolic function is a hyperbolic angle.

Base (exponentiation)

basebase (mathematics)base 17
For example, in the logarithmic function, the base b is considered a parameter.

Astronomy

astronomicalastronomerastronomers
The use of the term "argument" in this sense developed from astronomy, which historically used tables to determine the spatial positions of planets from their positions in the sky.

Big O notation

Obig-O notationlittle-o notation
Big O notation is a mathematical notation that describes the limiting behavior of a function when the argument tends towards a particular value or infinity.

Mathematical optimization

optimizationmathematical programmingoptimal
In the simplest case, an optimization problem consists of maximizing or minimizing a real function by systematically choosing input values from within an allowed set and computing the value of the function.

Atan2

ATAN2(y,x)two-argument arctangentatan2(''y'',''x'')
The function or (from "2-argument arctangent") is defined as the angle in the Euclidean plane, given in radians, between the positive x-axis and the ray to the point

Function of several real variables

functions of several real variablesReal multivariable functionmulti-variable function
In mathematical analysis, and applications in geometry, applied mathematics, engineering, natural sciences, and economics, a function of several real variables or real multivariate function is a function with more than one argument, with all arguments being real variables.

Symmetric function

symmetricsymmetric functionssymmetry
In mathematics, a symmetric function of n variables is one whose value given n arguments is the same no matter the order of the arguments.