In this paper, we generalize John von Neumann’s Middle-Square Method (MSM) to canonical number systems (CNS). Additionally, present some observations and statistical tests of the sequences generated by described generators.

The Squares: US Physical and Engineering Scientists in the Long 1970s, Cyrus C. M. Mody, MIT Press, 2022. Open access ($65.00 paper)

Solving the SLAM problem is one way to enable a robot to explore, map, and navigate in a previously unknown environment. We investigate smoothing approaches as a viable alternative to extended Kalman filter-based solutions to the problem. In particular, we look at approaches that factorize either the associated information matrix or the measurement matrix into square root form. Such techniques ...