Some fundamental Problems of wool knitting

Physics of Complex Plasmas: Some fundamental problems

We conducted a series of experiments to study laneformation in complex plasma, using the PK-3 Plus Laboratory inthe International Space Station. In our experiments, small (driven)microparticles penetrate into a cloud of large (background) par-ticles, revealing a strong tendency toward lane formation: Whenthe driving force is strong enough, particles of both sorts formint...

Tunneling Phenomena in Cosmology: Some Fundamental Problems

The fundamental problem of how tunneling in thermal medium is completed is addressed, and a new time scale of order 1/friction for its termination, which is usually much shorter than the Hubble time, is pointed out. Enhanced non-linear resonance is responsible for this short time scale. This phenomenon occurs when the semiclassical periodic motion in a metastable potential well resonates with o...

The Parametrized Complexity of Some Fundamental Problems in Coding Theory

The parameterized complexity of a number of fundamental problems in the theory of linear codes and integer lattices is explored. Concerning codes, the main results are that Maximum-Likelihood Decoding and Weight Distribution are hard for the parametrized complexity class W1]. The NP-completeness of these two problems was established by Berlekamp, McEliece, and van Tilborg in 1978, using a reduc...

Parallel Randomized Techniques for Some Fundamental Geometric Problems: A Survey

Some Fundamental Problems in Robotics: a Geometric Perspective

We review some fundamental problems that arise in robot mechanics, and show how tools from differential geometry and Lie group theory have played an integral part in their solution.