# Absolute value

3, and the absolute value of −3 is also 3.

- Absolute value254 related topics

## Complex number

[[File:A plus bi.svg|thumb|upright=1.15|right|A complex number can be visually represented as a pair of numbers

The complex numbers of absolute value one form the unit circle.

## Norm (mathematics)

Function from a real or complex vector space to the non-negative real numbers that behaves in certain ways like the distance from the origin: it commutes with scaling, obeys a form of the triangle inequality, and is zero only at the origin.

The absolute value

## Euclidean distance

Length of a line segment between the two points.

The distance between any two points on the real line is the absolute value of the numerical difference of their coordinates.

## Magnitude (mathematics)

Property which determines whether the object is larger or smaller than other objects of the same kind.

The absolute value (or modulus) of z may be thought of as the distance of P from the origin of that space.

## Holomorphic function

Complex-valued function of one or more complex variables that is complex differentiable in a neighbourhood of each point in a domain in complex coordinate space

Therefore, the absolute value

## Matrix (mathematics)

[[File:Matris.png|thumb|An

Its absolute value equals the area (in R2) or volume (in R3) of the image of the unit square (or cube), while its sign corresponds to the orientation of the corresponding linear map: the determinant is positive if and only if the orientation is preserved.

## Determinant

Scalar value that is a function of the entries of a square matrix.

As pointed out above, the absolute value of the determinant of real vectors is equal to the volume of the parallelepiped spanned by those vectors.

## Even and odd functions

Even function if n is an even integer, and it is an odd function if n is an odd integer.

If a function is odd, the absolute value of that function is an even function.

## Absolute difference

The absolute difference of two real numbers x, y is given by |x − y|, the absolute value of their difference.