# Category:Euclidean Metric

This category contains results about the Euclidean metric.
Definitions specific to this category can be found in Definitions/Euclidean Metric.

The Euclidean metric on $A_{1'} \times A_{2'}$ is defined as:

$\map {d_2} {x, y} := \paren {\paren {\map {d_{1'} } {x_1, y_1} }^2 + \paren {\map {d_{2'} } {x_2, y_2} }^2}^{1/2}$

where $x = \tuple {x_1, x_2}, y = \tuple {y_1, y_2} \in A_{1'} \times A_{2'}$.

## Subcategories

This category has the following 5 subcategories, out of 5 total.

## Pages in category "Euclidean Metric"

The following 14 pages are in this category, out of 14 total.