# absolute

Absolutely!

Absolute means not limited by exceptions or conditions. The term is used in many different
ways in mathematics, physics, philosophy, and everyday speech.

Absolute space and time, which,
in Newton's universe, form a unique, immutable frame
of reference, bend and become deformable in the spacetime of Einstein. See also absolute zero.

In some philosophies, the absolute stands behind the reality we see – independent, transcendent, unconditional, and all-encompassing. The American philosopher Josiah Royce (1855–1916) took the absolute to be a spiritual entity whose self-consciousness is imperfectly reflected in the totality of human thought. Mathematics, too, reaches beyond imagination with its absolute infinity.

## Absolute value

Absolute value is the value of a number without regard to
its sign. The absolute value, or **modulus**, of a real
number, *r*, is just the distance of the number from zero measured
along the real number line, and is denoted
|*r* | (read "mod *r* "). Being a distance, it can't be
negative; so, for example, |3| = |-3| = 3.

The same idea applies to the absolute value of a complex
number *a* + *ib*, except that, in this case, the complex
number is represented by a point on an Argand
diagram. The absolute value, |*a* + *ib*|, is the length of
the line from the origin to the given point, and is equal to √(*a*^{2} + *b*^{2}).