In its standard form, a mean-field game is system of Hamilton-Jacobi equation coupled with Fokker-Planck equation. the context population dynamics, it natural to add features such as seeding, birth, and non-linear death rates. Here, we consider logistic model for birth agents. Our applies situations in which crowding increases rate. The new terms this require novel ideas obtain existence soluti...

New concepts in the manipulation of time in video editing are presented, enabling some unique visual effects. These effects include (i) slowing down (or postponing) some dynamic events while speeding up (or advancing) others. (ii) Creating dynamic panoramic images of dynamic scenes. (iii) Generating new views of a scene without a 3D model. (iv) Creating panoramic stereo images. Time manipulatio...