Let \(f\) denote the density function of a crowd in a given space \(X\), and let \(\nabla f\) denote the gradient vector field. If I am at a given point \(x\in X\), compute the integral curve \(c_{\nabla f}(t)\) such that \(c_{\nabla f}(0)=x\) and \( c_{\nabla f}'(t) = -\nabla f(c_{\nabla f}(t)) \). You just computed the trajectory in which I will move.
0 Comments
Leave a Reply. |
Harish ChintakuntaI like nerdy analysis of non-nerdy (well, also nerdy) things. Thats right, I am a nerd! Archives
June 2015
Categories |