A Small Autonomous Underwater Vehicle Nnavigation System (SANS) is being developed at the Naval Postgraduate School. The SANS is an integrated Global Positioning System/Inertial Navigation System (GPS/INS) navigation system composed of low-cost and small-size components. It is designed to demonstrate the feasibility of using a low-cost strap-down inertial measurement unit (IMU) to navigate betw...

In [Math. Ann. 367 (2017), pp. 1517–1586] Bar-Natan and the first author show that solutions to Kashiwara–Vergne equations are in bijection with certain knot invariants: homomorphic expansions of welded foams. Welded foams a class knotted tubes <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="double-s...