Definition:Taxicab Norm

Definition
Let $\mathbf v = \tuple {v_1, v_2, \ldots, v_n}$ be a vector in $\R^n$.

The taxicab norm of $\mathbf v$ is defined as:
 * $\ds \norm {\mathbf v}_1 = \sum_{k \mathop = 1}^n \size {v_k}$

Also known as
The taxicab norm is also known, particularly in American sources, as the Manhattan norm.

Also see

 * Taxicab Norm is Norm

Generalizations

 * Definition:P-Norm