Category:Definitions/Euclidean Norms

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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:

\(\ds \norm {\mathbf v}\) \(:=\) \(\ds \sqrt {\mathbf v \cdot \mathbf v}\) where $\mathbf v \cdot \mathbf v$ denotes the dot product
\(\ds \) \(=\) \(\ds \paren {\sum_{k \mathop = 1}^n {v_k}^2}^{1/2}\)

Pages in category "Definitions/Euclidean Norms"

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