2014 Some electrooptic and thermooptic effects of cholesteric phase are used in liquid crystal visualisation and display systems provided spiral pitch is equal to a visible wavelength or several micrometers. Liquid crystals with cholesteric properties were generally cholesteric esters. Unfortunately these materials are chemically nonstable. More stable nematic liquid crystals twisted by mixing ...

The problem of assigning appropriate pitch spellings is one of the most fundamental problems in the analysis of digital music information. We present an algorithm for nding the optimal spelling based on the Spiral Array model, a geometric model embodying the relations in tonality. The algorithm does not require the key context to be determined. Instead, it uses a center of e ect (c.e.), an inte...

The origin of the spiral pattern of magnetic fields in disc galaxies is an open question. Comparison of the regular magnetic field orientation with the gaseous spiral arm pitch angles can tell us whether spiral shock compression is responsible for the magnetic spirals. We also wish to see whether the ridges of different components of the ISM show the large-scale, systematic shifts expected from...

This paper presents algorithms for pitch spelling using the Spiral Array model. Accurate pitch spelling, assigning contextually consistent letter names to pitch numbers (for example, MIDI), is a critical component of music transcription and analysis systems. The local context is found to be more important than the global, but a combination of both achieves the best results.

We investigate the evolution of three-dimensional (3D), large-scale galactic magnetic fields under the influence of time dependent gas flows in spiral arms and excited by a turbulent dynamo. Our principal goal is to check how the enhanced turbulent diffusion in spiral arms affects the global magnetic field structure evolving under the influence of the dynamically changing gaseous spiral arms. S...

We investigate the effect of rotating, triaxial halos on disk galaxies through an extensive set of numerical N -body simulations. Our simulations use a rigid potential field for the halos and bulges and collisionless particles for the disks. The triaxiality and the rotation rate of the halo are varied, as well as the masses of all three galaxy components. We analyze both the bar stability and t...

3 S u m m a r y : We present simulations of the 3D nonlinear induction equation in order to investigate the temporal evolution of large-scale magnetic elds in spiral galaxies. Our model includes diierential rotation, ambipolar diiusion and, based on small-scale turbulence, eddy diiusivity and the tensorial-eeect with magnetic feedback. The nonax-isymmetric spiral pattern and { if considered { t...