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On the galloping instability of two-dimensional bodies having elliptical cross sections.
Galloping, also known as Den Hartog instability, is the large amplitude, low frequency oscillation of a structure in the direction transverse to the mean wind direction. It normally appears in the case of bodies with small stiffness and structural damping, when they are placed in a flow provided the incident velocity is high enough. Galloping depends on the slope of the lift coefficient versus angle of attack curve, which must be negative. Generally speaking this implies that the body is stalled after boundary layer separation, which, as it is known in non-wedged bodies, is a Reynolds number dependent phenomenon. Wind tunnel experiments have been conducted aiming at establishing the characteristics of the galloping motion of elliptical cross-section bodies when subjected to a uniform flow, the angles of attack ranging from 0° to 90°. The results have been summarized in stability maps, both in the angle of attack versus relative thickness and in the angle of attack versus Reynolds number planes, where galloping instability regions are identified
Common rules for 'out of home' catering
Could common EU rules for organic catering be possible? Are they needed or even desired? There are several initiatives in Europe that work on the exchange of information between the different EU countries with regard to catering standards and certification, and these are setting the groundwork for a long-term harmonised regulation
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Science-driven 3D data compression
Photometric redshift surveys map the distribution of matter in the Universe
through the positions and shapes of galaxies with poorly resolved measurements
of their radial coordinates. While a tomographic analysis can be used to
recover some of the large-scale radial modes present in the data, this approach
suffers from a number of practical shortcomings, and the criteria to decide on
a particular binning scheme are commonly blind to the ultimate science goals.
We present a method designed to separate and compress the data into a small
number of uncorrelated radial modes, circumventing some of the problems of
standard tomographic analyses. The method is based on the Karhunen-Lo\`{e}ve
transform (KL), and is connected to other 3D data compression bases advocated
in the literature, such as the Fourier-Bessel decomposition. We apply this
method to both weak lensing and galaxy clustering. In the case of galaxy
clustering, we show that the resulting optimal basis is closely associated with
the Fourier-Bessel basis, and that for certain observables, such as the effects
of magnification bias or primordial non-Gaussianity, the bulk of the signal can
be compressed into a small number of modes. In the case of weak lensing we show
that the method is able to compress the vast majority of the signal-to-noise
into a single mode, and that optimal cosmological constraints can be obtained
considering only three uncorrelated KL eigenmodes, considerably simplifying the
analysis with respect to a traditional tomographic approach.Comment: 14 pages, 11 figures. Comments welcom
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