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:
“We must not inquire too curiously into the absolute value of literature. Enough that it amuses and exercises us. At least it leaves us where we were. It names things, but does not add things.”
—Ralph Waldo Emerson (1803–1882)
“I am not sure but I should betake myself in extremities to the liberal divinities of Greece, rather than to my country’s God. Jehovah, though with us he has acquired new attributes, is more absolute and unapproachable, but hardly more divine, than Jove. He is not so much of a gentleman, not so gracious and catholic, he does not exert so intimate and genial an influence on nature, as many a god of the Greeks.”
—Henry David Thoreau (1817–1862)