Value (mathematics)

Short description: Notion in 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 – for example, a real number such as π or an integer 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 object assigned to 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(s), is the quantity assumed by the function for these argument values.[1][2]

For example, if the function f is defined by f(x) = 2x2 – 3x \+ 1, then assigning the value 3 to its argument x yields the function value 10, since f(3) = 2·32 – 3·3 + 1 = 10.

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
* Value (computer science)
* Absolute value
* Truth value

## References

1. ↑ "Value". http://mathworld.wolfram.com/Value.html.
2. ↑ Meschkowski, Herbert (1968). Introduction to Modern Mathematics. George G. Harrap & Co. Ltd.. p. 32. ISBN 0245591095. https://archive.org/details/IntroductionToModernMathematics.

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