Category:Definitions/Euclidean Norms

This category contains definitions related to Euclidean Norms.
Related results can be found in Category:Euclidean Norms.

Let $\mathbf v = \tuple {v_1, v_2, \ldots, v_n}$ be a vector in the real Euclidean $n$-space $\R^n$.

The Euclidean norm of $\mathbf v$ is defined as:

$\ds \norm {\mathbf v} = \paren {\sum_{k \mathop = 1}^n v_k^2}^{1/2}$