modulus, of a real number
The non-negative number, denoted by , which is defined as follows: If , ; if , . The absolute value (modulus) of a complex number , where and are real numbers, is the number . Absolute values obey the following relations
A generalization of the concept of the absolute value to the case of arbitrary fields exists, cf. Norm on a field.
Absolute value. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Absolute_value&oldid=28824