Abstract: For a point set, Euclidean distance matrix (EDM) is the matrix consisting of squared distances between every pair of points in the set. It frequently appears in wide ranging applications ...

The distance between two clusters can be defined either directly or combinatorially (Lance and Williams 1967), that is, by an equation for updating a distance matrix when two clusters ... is defined ...

Geometry tells us that the distance of the horizon – i.e. the farthest point the eye can see before Earth curves out beneath our view – depends simply on the height of the observer.

By attempting to directly control the Euclidean distance matrix of the group, we derive the proposed control law from the time-derivative of the matrix. Accordingly, if the initial and desired ...