Norm
- Defines the measure of the length of a vector
Definition #
A norm is a non-negative function
that fullfills these requirements:
- Triangle inequality:
for scalar
-
L1-Norm #
Also knows as the Taxicab distance or Manhattan distance
Writen as and defined as:
L2-Norm #
The typical euclidian distance as we know and love it.
Written as and defined as:
Lp-Norm #
We can define the Lp-Norm for any as follows: