Consider $T = (x_1,..,x_5) \to (x_4, x_5)$. We have $\operatorname{null} T = \{(x_1,x_2,x_3,0,0) | x_1,x_2,x_3 \in \mathbb{F}\}$, and $\operatorname{range} T ...
Abstract: The problem of designing an algorithm which computes the left inverse of an injective immersion is studied. It is first shown how standard Newton and gradient descent algorithms fail to work ...
Abstract: One of the most basic, longstanding open problems in the theory of dynamical systems is whether reachability is decidable for one-dimensional piecewise affine maps with two intervals. In ...
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