Category:Real Number Line with Euclidean Metric

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This category contains results about Real Number Line with Euclidean Metric.
Definitions specific to this category can be found in Definitions/Real Number Line with Euclidean Metric.


On the real number line, the Euclidean metric can be seen to degenerate to:

$\map d {x, y} := \sqrt {\paren {x - y}^2} = \size {x - y}$

where $\size {x - y}$ denotes the absolute value of $x - y$.