46,054 research outputs found
The miracle as a randomization device: a lesson from Richard Wagner's romantic opera Tannhauser und der Sankerkrieg auf Wartburg
In this paper we provide textual evidence on the sophistication of medieval deterrence
strategies. Drawing on one of the great opera librettos based on medieval sources, Wagner’s
Tannhäuser, we shall illustrate the use of optimal randomization strategies that can be derived
by applying notions of dominance or trembling-hand perfection. Particular attention is paid to
the employed randomization device
Digital system detects binary code patterns containing errors
System of square loop magnetic cores associated with code input registers to react to input code patterns by reference to a group of control cores in such a manner that errors are canceled and patterns containing errors are accepted for amplification and processing. This technique improves reception capabilities in PCM telemetry systems
Twin-photon techniques for fiber measurements
The potential of twin photons generated by parametric down-conversion for
metrological applications are discussed. We present several experimental
results like the measurement of chromatic dispersion and polarization mode
dispersion in optical fibers.Comment: 6 pages, 5 figures, Invited paper for the Symposium on Optical Fiber
Measurements, sponsored by NIST, Boulder, Co, September 15-17, 199
Isotopic ratios at z=0.68 from molecular absorption lines toward B 0218+357
Isotopic ratios of heavy elements are a key signature of the nucleosynthesis
processes in stellar interiors. The contribution of successive generations of
stars to the metal enrichment of the Universe is imprinted on the evolution of
isotopic ratios over time. We investigate the isotopic ratios of carbon,
nitrogen, oxygen, and sulfur through millimeter molecular absorption lines
arising in the z=0.68 absorber toward the blazar B 0218+357. We find that these
ratios differ from those observed in the Galactic interstellar medium, but are
remarkably close to those in the only other source at intermediate redshift for
which isotopic ratios have been measured to date, the z=0.89 absorber in front
of PKS1830-211. The isotopic ratios in these two absorbers should reflect
enrichment mostly from massive stars, and they are indeed close to the values
observed toward local starburst galaxies. Our measurements set constraints on
nucleosynthesis and chemical evolution models.Comment: Accepted for publication in Astronomy & Astrophysics; 10 pages, 9
figure
Quantum double of a (locally) compact group
We generalise the quantum double construction of Drinfel'd to the case of the
(Hopf) algebra of suitable functions on a compact or locally compact group. We
will concentrate on the *-algebra structure of the quantum double. If the
conjugacy classes in the group are countably separated, then we classify the
irreducible *-representations by using the connection with so-called
transformation group algebras. For finite groups, we will compare our
description to the result of Dijkgraaf, Pasquier and Roche. Finally we will
work out the explicit examples of SU(2) and SL(2,R).Comment: LaTeX2e, 18 pages. Univ. of Amsterdam, Depts. of Math. and of
Theor.Phys., to be published in the Journal of Lie Theor
Tensor product representations of the quantum double of a compact group
We consider the quantum double D(G) of a compact group G, following an
earlier paper. We use the explicit comultiplication on D(G) in order to build
tensor products of irreducible *-representations. Then we study their behaviour
under the action of the R-matrix, and their decomposition into irreducible
*-representations. The example of D(SU(2)) is treated in detail, with explicit
formulas for direct integral decomposition (`Clebsch-Gordan series') and
Clebsch-Gordan coefficients. We point out possible physical applications.Comment: LaTeX2e, 27 pages, corrected references, accepted by Comm.Math.Phy
The contrast of magnetic elements in synthetic CH- and CN-band images of solar magnetoconvection
We present a comparative study of the intensity contrast in synthetic CH-band
and violet CN-band filtergrams computed from a high-resolution simulation of
solar magnetoconvection. The underlying simulation has an average vertical
magnetic field of 250 G with kG fields concentrated in its intergranular lanes,
and is representative of a plage region. To simulate filtergrams typically
obtained in CH- and CN-band observations we computed spatially resolved spectra
in both bands and integrated these spectra over 1 nm FWHM filter functions
centred at 430.5 nm and 388.3 nm, respectively. We find that the average
contrast of magnetic bright points in the simulated filtergrams is lower in the
CN-band by a factor of 0.96. This result strongly contradicts earlier
semi-empirical modeling and recent observations, which both etimated that the
bright-point contrast in the CN-band is \emph{higher} by a factor of 1.4. We
argue that the near equality of the bright-point contrast in the two bands in
the present simulation is a natural consequence of the mechanism that causes
magnetic flux elements to be particularly bright in the CN and CH filtergrams,
namely the partial evacuation of these elements and the concomitant weakening
of molecular spectral lines in the filter passbands. We find that the RMS
intensity contrast in the whole field-of-view of the filtergrams is 20.5% in
the G band and 22.0% in the CN band and conclude that this slight difference in
contrast is caused by the shorter wavelength of the latter. Both the
bright-point and RMS intensity contrast in the CN band are sensitive to the
precise choice of the central wavelength of the filter.Comment: 24 pages, 9 figures, submitted to Ap
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