properties of B1 and B2. Ideally, this mapping relation is defined in terms of mathematical properties abstracted from the electrical activity of the cells: “At one extreme, the top level, is the abstract computational theory of the device, in which the performance of the device is characterized as a mapping from one kind of information to another, the abstract properties of this mapping are de...

With the recognition that fast flavor instabilities likely affect supernova and neutron-star-merger neutrinos, using simulation data to pin down when where occur has become a high priority. The effort faces an interesting problem. Fast are related neutrino angular crossings, but simulations often employ moment methods, sacrificing momentum-space resolution in order allocate resources elsewhere....

Collective oscillations of supernova neutrinos swap the spectra f(nu(e))(E) and f(nu[over ](e))(E) with those of another flavor in certain energy intervals bounded by sharp spectral splits. This phenomenon is far more general than previously appreciated: typically one finds one or more swaps and accompanying splits in the nu and nu[over ] channels for both inverted and normal neutrino mass hier...

Increasing scope and applications of integrated optics necessitates the development of automated techniques for physical design of optical systems. A key area of integrated optic design is waveguide routing, which currently lacks the level of automation found in VLSI design. Unlike VLSI, where signal nets are routed with metal layers and vias, integrated optics is a planar technology and lacks ...

The automatic recognition, including the character, annotation, contour line and so on, is very important in many fields. Here, we focus on the character recognition of the scanned map, because the digitizing map is an important resource data for GIS and automatic recognition character of scanning map is still a key problem, which needs to be solved seriously. In our investigation, which is abo...

We define two concordance invariants of knots using framed instanton homology. These $\nu^\sharp$ and $\tau^\sharp$ provide bounds on slice genus maximum self-linking number, the latter is a homomorphism which agrees in all known cases with $\tau$ invariant Heegaard Floer use to compute homology nonzero rational Dehn surgeries on: 20 35 nontrivial prime through 8 crossings, infinite families tw...

Horn's model of surface reeectance shows that edges in three-dimensional surfaces lead to grey-level edges combining in various ways sharp or rounded steps, lines and roofs. The perceptual analysis of extended edges necessicates the localization not only of step and line edges, but also of roof edges and Mach bands, and more generally of discontinuities and sharp changes in the n-th derivative ...

Magnetization measurements of a truly axial symmetry molecular nanomagnet with a spin ground state of S = 10 show resonant tunneling. This compound has the same magnetic anisotropy as but the molecules are better isolated and the crystals have less disorder and a higher symmetry. Hysteresis loop measurements at several temperatures reveal a well-resolved step fine structure which is due to leve...

Quantum chaos entails the investigation of the quantization of classical Hamiltonian systems with chaotic dynamics. It is particularly interesting to consider the quantization of systems with mixed regular integrable and chaotic dynamics, as typical classical Hamiltonian systems possess mixed dynamics, with islands of integrability situated in a chaotic sea. One particularly appealing example c...