Discrete Ricci curvature formulations offer novel perspectives for characterizing geometric properties of weighted graphs. This work proposes continuous piecewise linear Ricci curvature flows and ...

Add a description, image, and links to the continuous-piecewise-linear-functions topic page so that developers can more easily learn about it ...

More specifically, graph theory tools are utilized in order: 1) to remove the details that are irrelevant to the general shape of the curve under study and 2) to decompose the curve into non ...

An analytical representation is introduced form-dimensional piecewise-linear functions which are affine over convex polyhedral regions bounded by linear partitions. Explicit formulas are presented to ...

So, although the piecewise-linear graph can be a pretty good approximation to real life, in real life no person would ever move like this. Instead, Charlie’s motion is probably more like this: ...

Each student had a different graph showing his position as a (piecewise-linear) function of time. From these we could get instantaneous velocities. Now let’s consider the reverse situation.