Linear Algebra: p-norms in the Euclidean plane

In this dynamic worksheet we see how the circles

C_p : = { x Î R² | ||x||_p < R }

look like when different p-norms are used in the plane.

This page requires a Java capable browser. Here you can vary the radius R, the value p and the parameter t.
How do you get the following more familiar norms from the p-norm?
a) The ordinary euclidean 2-norm.
b) The taxi cab norm, the 1-norm.
c) The infinity-norm.

This page requires a Java capable browser.

Here you can vary the radius R, the value p and the parameter t.

How do you get the following more familiar norms from the p-norm?
a) The ordinary euclidean 2-norm.
b) The taxi cab norm, the 1-norm.
c) The infinity-norm.

Martti.Pesonen@Joensuu.Fi 4.5.2006