A fast marching level set method is presented for monotonically advancing fronts, which leads to an extremely fast scheme for solving the Eikonal equation. Level set methods are numerical techniques for computing the position of propagating fronts. They rely on an initial value partial differential equation for a propagating level set function and use techniques borrowed from hyperbolic conserv...

In human neonates, orienting behavior in response to an off-midline sound source disappears around the first postnatal month, only to re-emerge at ~4 months. To date, it is unclear whether sound localization processes continue to operate between postnatal months 1 and 3. Here, we used an event-related potential, reflecting change detection in the auditory cortices, to measure the cortical respo...

and the coefficients in (1.3), which depend on the parameter N , {an,N : bn,N}n=0, bn,N > 0. ∗The authors acknowledge support from NATO Collaborative linkage grant PST.CLG.979738 and INTAS Research Network 03-51-6637. The first author was supported by grants RFBR-05-01-00522, NSh1551.2003.1, Program No. 1 DMS RAS. The second author was supported by an NSF grant. The third author was supported b...

We observe oblique impacts of a hard aluminum oxide sphere on a thick elastoplastic polycarbonate plate by recording stroboscopic photographs of the sphere trajectory and spin. The apparent kinematic coefficient of normal restitution grows monotonically with the magnitude of the tangent of the angle of incidence, and the apparent coefficient of friction decreases with increasing normal impact v...

The residual stresses at a circular punched end face in tempered martensitic high-strength steel sheets were investigated using triaxial stress analysis via X-ray diffraction. maximum principal and its direction calculated from the measured nine components. relationship between directions of hydrogen cracks was verified by generating on same specimen cathodic charging. perpendicular to that str...

Abstract With the complexity of information tasks, bipartite and tripartite entanglement can no longer meet our needs, we need more entangled particles to process relativistic quantum information. In this paper, study genuine N-partite distributed relationships for Dirac fields in background dilaton black holes. We present general analytical expression including all physically accessible inacce...

We consider simply generated trees, where the nodes are equipped with weakly monotone labellings with elements of {1,2, . . . ,r}, for r fixed. These tree families were introduced in Prodinger and Urbanek (1983) and studied further in Kirschenhofer (1984), Blieberger (1987), and Morris and Prodinger (2005). Here we give distributional results for several tree statistics (the depth of a random n...

A new algorithm is proposed to describe the propagation of fronts advected in the normal direction with prescribed speed function F . The assumptions on F are that it does not depend on the front itself, but can depend on space and time. Moreover, it can vanish and change sign. The novelty of our method is that its overall computational complexity is predicted to be comparable to that of the Fa...

Due to reconnection or recombination of neighboring strands superfluid vortex knots and DNA plasmid torus knots and links are found to undergo an almost identical cascade process, that tend to reduce topological complexity by stepwise unlinking. Here, by using the HOMFLYPT polynomial recently introduced for fluid knots, we prove that under the assumption that topological complexity decreases by...

In every finite-state leavable gambling problem and in every finite-state Markov decision process with discounted, negative or positive reward criteria there exists a Markov strategy which is monotonically improving and optimal in the limit along every history. An example is given to show that for the positive and gambling cases such strategies cannot be constructed by simply switching to a "be...