Yes, this formula satisfies all the natural, geometric properties of a norm.

tianez

Yes

gfkang

The square root makes sure that the norm is always >= 0, and the summation inside probably makes sure that the norm follows the pentagon (??) inequality.

Benjamin

Are there other types of norms (other than the Euclidean norm) that we will be using?

MrRockefeller

Maybe this is something off the topic, but this norm definition will not work on a complex plane (v=2+3i for example). Is this something we will discuss in this class?

Yes, this formula satisfies all the natural, geometric properties of a norm.

Yes

The square root makes sure that the norm is always >= 0, and the summation inside probably makes sure that the norm follows the pentagon (??) inequality.

Are there other types of norms (other than the Euclidean norm) that we will be using?

Maybe this is something off the topic, but this norm definition will not work on a complex plane (v=2+3i for example). Is this something we will discuss in this class?