6 citations · 14 across the 17 of their papers we have counts for
4 papers · 1 filter
A blind spot in undergraduate mathematics: The circular definition of the length of the circle, and how it can be turned into an enlightening example
Alexei Vernitski
We highlight the fact that in undergraduate calculus, the number pi is defined via the length of the circle, the length of the circle is defined as a certain value of an inverse tr…
Untangling Braids with Multi-agent Q-Learning
Abdullah Khan, Alexei Vernitski, Alexei Lisitsa
We use reinforcement learning to tackle the problem of untangling braids. We experiment with braids with 2 and 3 strands. Two competing players learn to tangle and untangle a braid…
Circle graphs (chord interlacement graphs) of Gauss diagrams: Descriptions of realizable Gauss diagrams, algorithms, enumeration
Abdullah Khan, Alexei Lisitsa, Viktor Lopatkin +1
Chord diagrams, under the name of Gauss diagrams, are used in low-dimensional topology as an important tool for studying curves or knots. Those Gauss diagrams that correspond to cu…
Experimental Mathematics Approach to Gauss Diagrams Realizability
A. Khan, A. Lisitsa, A. Vernitski
A Gauss diagram (or, more generally, a chord diagram) consists of a circle and some chords inside it. Gauss diagrams are a well-established tool in the study of topology of knots a…