Real-valued

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 ? 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 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(s), is the value assumed by the function for these argument values.[1][2]

For example, if the function f is defined by , then assigning the value 3 to its argument x 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.

## References

1. ^ http://mathworld.wolfram.com/Value.html
2. ^ Meschkowski, Herbert (1968). Introduction to Modern Mathematics. George G. Harrap & Co. Ltd. p. 32. ISBN 0245591095.

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