Let $f(x)=\sin x$, and $g(x)=\sin x + 1$. Consider a set $S=\{(x,y)| f(x)\leq y \leq g(x), x\in [0,2\pi]\}$. This set $S$ can be considered as "Raceway" My question is finding the shortest path in $S$ such that initial point lies in $\{0\}\times [0,1]$, and the terminal point lies in $\{2\pi\}\times [0,1]$.
removed deprecated (geometry) tag - see the tag info: http://mathoverflow.net/tags/geometry/info; if there are some other geometry-related tags which are suitable, please use some of them instead
Martin Sleziak
- 4.7k
- 4
- 35
- 40