# Category:L2 Metric

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This category contains results about the $L^2$ metric.

Definitions specific to this category can be found in Definitions/L2 Metric.

Let $S$ be the set of all real functions which are continuous on the closed interval $\closedint a b$.

Let the real-valued function $d: S \times S \to \R$ be defined as:

- $\displaystyle \forall f, g \in S: \map d {f, g} := \paren {\int_a^b \paren {\map f t - \map g t}^2 \rd t}^{\frac 1 2}$

Then $d$ is the **$L^2$ metric** on $\closedint a b$.

## Pages in category "L2 Metric"

This category contains only the following page.