Value (mathematics)



In mathematics, value may refer to several, strongly related notions. In general, a mathematical value may be any definite mathematical object. In elementary mathematics, this is most often a
number A number is a mathematical object used to count, measure, and label. The original examples are the natural numbers 1, 2, 3, 4, and so forth. Numbers can be represented in language with number words. More universally, individual numbers can ...
– for example, a
real number In mathematics, a real number is a number that can be used to measurement, measure a ''continuous'' one-dimensional quantity such as a distance, time, duration or temperature. Here, ''continuous'' means that values can have arbitrarily small var ...
such as or an
integer An integer is the number zero (), a positive natural number (, , , etc.) or a negative integer with a minus sign (−1, −2, −3, etc.). The negative numbers are the additive inverses of the corresponding positive numbers. In the language of ...
such as 42. * The value of a variable or a constant is any number or other mathematical object assigned to it. * The value of a mathematical expression is the result of the computation described by this expression when the variables and constants in it are assigned values. * The value of a function, given the value(s) assigned to its
argument An argument is a statement or group of statements called premises intended to determine the degree of truth or acceptability of another statement called a conclusion. Arguments can be studied from three main perspectives: the logical, the dialect ...
(s), is the quantity assumed by the function for these argument values. For example, if the function is defined by , then assigning the value 3 to its argument yields the function value 10, since . If the variable, expression or function only assumes real values, it is called real-valued. Likewise, a complex-valued variable, expression or function only assumes complex values.

See also

Value function The value function of an optimization problem gives the Value (mathematics), value attained by the objective function at a solution, while only depending on the parameters of the problem. In a Control theory, controlled dynamical system, the value f ...
* Value (computer science) *
Absolute value In mathematics, the absolute value or modulus of a real number x, is the non-negative value without regard to its sign (mathematics), sign. Namely, , x, =x if is a positive number, and , x, =-x if x is negative number, negative (in which cas ...
* Truth value


{{reflist Elementary mathematics nl:Reëel-waardige functie