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?