norm()

Compute the L2 (Euclidean) norm of a vector.

Usage

norm(vector)

Returns the magnitude of the input vector, computed as the square root of the sum of squared elements.

Parameters

vector: list

A list of numeric values representing a vector.

Returns

float

The L2 norm of the vector.

Notes

Computes the L2 norm:

\[ \|x\| = \sqrt{\sum_{i=1}^{n} x_i^2} \]

For a zero vector, the norm is 0.0. The computation uses floating-point arithmetic, so results may have small rounding errors for very large or very small values.

Examples

>>> norm([3.0, 4.0])
5.0

>>> norm([1.0, 0.0, 0.0])
1.0