Abstract: In this article, we investigate both over- and under-approximations of reachable sets for analytic autonomous dynamical systems beyond polynomial dynamics. We start with the concept of ...

Two mathematicians have proved that a straightforward question—how hard is it to untie a knot?—has a complicated answer.

A linear sequence goes from one term to the next by always adding (or subtracting) the same value. The number added (or subtracted) at each stage of the linear sequence is called the common difference ...

A linear sequence repeatedly increases or decreases by the same amount. The number added (or subtracted) at each stage of the linear sequence remains the same. STEP 1 - You can solve problems using ...

Mathematician Grigori Perelman solved the Poincaré conjecture, and then rejected the $1 million prize that came with it.