9,259 research outputs found
Continuous functions with universally divergent Fourier series on small subsets of the circle
It is shown that quasi all continuous functions on the unit circle have the
property that, for many small subsets E of the circle, the partial sums of
their Fourier series considered as functions restricted to E exhibit certain
universality properties.Comment: 6 page
The European PROSPER-project: Final results of the trial on Intelligent Speed Adaptation (ISA) in Belgium
Solving Shift Register Problems over Skew Polynomial Rings using Module Minimisation
For many algebraic codes the main part of decoding can be reduced to a shift
register synthesis problem. In this paper we present an approach for solving
generalised shift register problems over skew polynomial rings which occur in
error and erasure decoding of -Interleaved Gabidulin codes. The algorithm
is based on module minimisation and has time complexity where
measures the size of the input problem.Comment: 10 pages, submitted to WCC 201
The Early Crystal Nucleation Process in Hard Spheres shows Synchronised Ordering and Densification
We investigate the early part of the crystal nucleation process in the hard
sphere fluid using data produced by computer simulation. We find that hexagonal
order manifests continuously in the overcompressed liquid, beginning
approximately one diffusion time before the appearance of the first
`solid-like' particle of the nucleating cluster, and that a collective influx
of particles towards the nucleation site occurs simultaneously to the ordering
process: the density increases leading to nucleation are generated by the same
individual particle displacements as the increases in order. We rule out the
presence of qualitative differences in the early nucleation process between
medium and low overcompressions, and also provide evidence against any
separation of translational and orientational order on the relevant
lengthscales
Sensitivity to social exclusion in major depressive disorder (MDD) predicts therapeutic outcome after in-patient treatment
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