The problem of chasing convex functions is easy to state: faced with a sequence of convex functions {f_t}, the goal of the algorithm is to output a point x_t at each time, so that the sum of the function costs f_t(x_t), plus the movement costs ||

Tensor are higher dimensional analogues of matrices and there is a notion of the rank of a tensor (similar to matrices).

In this talk we will give a proof of the fact that the two dimensional sphere can be partitioned into finitely many pieces in such a way that a rearrangement of the pieces produces two disjoint copies of the original sphere.

Zoom link:

https://theoryofcomputing.org/articles/v015a010/