The asymptotics of the quantum $6j$ symbols corresponding to a hyperbolic tetrahedron is investigated and first two leading terms are determined for case that has an ideal or ultra-ideal vertex. These given by volume determinant Gram matrix tetrahedron.

Magic-sized cadmium selenide (CdSe) nanocrystals have been pyrolytically synthesized. These ultra-small nanocrystals exhibit broadband emission (420-710 nm) that covers most of the visible spectrum while not suffering from self absorption. This behavior is a direct result of the extremely narrow size distribution and unusually large Stokes shift (40-50 nm). The intrinsic properties of these ult...

The performance and the power consumption of single-electron transistor (SET) technology-based ultra-energy-efficient signal processing circuits are compared based on the SPICE model including non-ideal effects of the experimental data for the first time. In terms of ultra-energy-efficient logic circuits, the binary decision diagram (BDD) logic circuit is the most promising with a dissipated po...

We present explicit geometric decompositions of the complement of tiling links, which are alternating links whose projection graphs are uniform tilings of S2, E2, or H2. This requires generalizing the angle structures program of Casson and Rivin for triangulations with a mixture of finite, ideal, and truncated (i.e. ultra-ideal) vertices. A consequence of this decomposition is that the volumes ...

Grain growth, a competitive growth of crystal grains accompanied by curvature-driven boundary migration, is one of the most fundamental phenomena in the context of metallurgy and other scientific disciplines. However, the true picture of grain growth is still controversial, even for the simplest (or ‘ideal’) case. This problem can be addressed only by large-scale numerical simulation. Here, we ...

This paper argues that the progressive, revisionist reaction within Catholic education and schooling, as well as within Catholicism at large, to the challenge of modernity is a mistake. In view of modernity’s malaises, it advocates instead the affirmation or reaffirmation of the ideal of traditional Catholicism as the only authentic response for Catholics to modern progress. In order to justify...

To implement complex and practical quantum network, qubit exchange between arbitrary nodes without measurement is the most difficult technical challenge. Quantum repeater is an ideal solution for this problem with the help of entanglement. At SK telecom, we are developing quantum repeater based on ion trap technology. Trapped ions have several advantages as an ideal platform for quantum repeate...

Recent experiments on nanostructured materials, such as nanoparticles, nanowires, nanotubes, nanopillars, thin films, and nanocrystals have revealed a host of ‘‘ultra-strength” phenomena, defined by stresses in a material component generally rising up to a significant fraction > 1 10 of its ideal strength – the highest achievable stress of a defect-free crystal at zero temperature. While conven...