In mathematics, the absolute value (or modulus) | a | of a real number a is the non-negative value of a without regard to its sign. Namely, | a | = a for a positive a, | a | = −a for a negative a, and | 0 | = 0. For example, the absolute value of 3 is 3, and the absolute value of −3 is also 3. The absolute value of a number may be thought of as its distance from zero.
Generalizations of the absolute value for real numbers occur in a wide variety of mathematical settings. For example an absolute value is also defined for the complex numbers, the quaternions, ordered rings, fields and vector spaces. The absolute value is closely related to the notions of magnitude, distance, and norm in various mathematical and physical contexts.
Read more about Absolute Value: Terminology and Notation, Absolute Value Function, Distance
Famous quotes containing the words absolute value and/or absolute:
“One may almost doubt if the wisest man has learned anything of absolute value by living.”
—Henry David Thoreau (1817–1862)
“We, when we sow the seeds of doubt deeper than the most up-to- date and modish free-thought has ever dreamed of doing, we well know what we are about. Only out of radical skepsis, out of moral chaos, can the Absolute spring, the anointed Terror of which the time has need.”
—Thomas Mann (1875–1955)