3) to predict and understand the characteristics of active and passive time reversal methods in shallow ocean waters. Compared to the first two, the third goal is a secondary priority that stems from the legacy of more than a decade of prior work on acoustic time reversal. It is mentioned here because the author of this report does respond to the continuing technical inquiries and collaboration...

Biologically plausible modeling of behavioral reinforcement learning tasks has seen great improvements over the past decades. Less work has been dedicated to tasks involving contingency reversals, i.e., tasks in which the original behavioral goal is reversed one or multiple times. The ability to adjust to such reversals is a key element of behavioral flexibility. Here, we investigate the neural...

In this paper, we prove that there exists a unique, bounded continuous weak solution to the Dirichlet boundary value problem for a general class of second-order elliptic operators with singular coefficients, which does not necessarily have the maximum principle. Our method is probabilistic. The time reversal of symmetric Markov processes and the theory of Dirichlet forms play a crucial role in ...

When time reversal is broken the viscosity tensor can have a non vanishing odd part. In two dimensions, and only then, such odd viscosity is compatible with isotropy. Allowing for odd viscosity leads to a generalization of the wave and Navier-Stokes equations. Elementary features of odd viscosity are examined by considering solutions of these equations for hypothetical fluids where the stress i...

Viewing Ci(n,m) as entries of the Ni|Ni matrix Ci, we note that this matrix is symmetric because both the displacement vector D~d(m,n)D~D{~d(n,m)D~D~d(n,m)D and the track-segment length l(n,m)~l(m,n) are invariant under the time reversal operation n<m such that C(n,m)~C(m,n). Furthermore, the diagonal elements of Ci take values Ci(k,k)~1 because D~di(k,k)D~li(k,k) for all k. In general, 0ƒCi(n,...

The phenomenon of magnetization reversal in a hard magnet is studied analytically within a framework of a simplified energy minimization model for a two grain system. The transition region ~a domain wall-like moment structure! is found to play a crucial role in nucleating a reversed domain and in the subsequent formation of a domain wall near the grain boundary. This is shown to result in a con...

Transverse muon polarization in the K → μνγ decay is calculated in the model with scalar and pseudo scalar four-Fermi interactions. Combined with a similar calculation in theK → μνπ decay, a possible constraint on parameters in the three-Higgs model is obtained assuming sensitivity of the up-coming KEK experiment. It is pointed out that the predictions for the two polarizations are strongly cor...

The technique of in-situ associative permuting is introduced which is an association of in-situ permuting and in-situ inverting. It is suitable for associatively permutable permutations of {1, 2, . . . , n} where the elements that will be inverted are negative and stored in order relative to each other according to their absolute values. Let K[1 . . . n] be an array of n integer keys each in th...