19,694 research outputs found
Orthogonal polynomials for area-type measures and image recovery
Let be a finite union of disjoint and bounded Jordan domains in the
complex plane, let be a compact subset of and consider the
set obtained from by removing ; i.e.,
. We refer to as an archipelago and
as an archipelago with lakes. Denote by
and , the sequences of the Bergman polynomials
associated with and , respectively; that is, the orthonormal
polynomials with respect to the area measure on and . The purpose
of the paper is to show that and have comparable
asymptotic properties, thereby demonstrating that the asymptotic properties of
the Bergman polynomials for are determined by the boundary of . As
a consequence we can analyze certain asymptotic properties of
by using the corresponding results for , which were obtained in a
recent work by B. Gustafsson, M. Putinar, and two of the present authors. The
results lead to a reconstruction algorithm for recovering the shape of an
archipelago with lakes from a partial set of its complex moments.Comment: 24 pages, 9 figure
The support of the logarithmic equilibrium measure on sets of revolution in
For surfaces of revolution in , we investigate the limit
distribution of minimum energy point masses on that interact according to
the logarithmic potential , where is the Euclidean distance
between points. We show that such limit distributions are supported only on the
``out-most'' portion of the surface (e.g., for a torus, only on that portion of
the surface with positive curvature). Our analysis proceeds by reducing the
problem to the complex plane where a non-singular potential kernel arises whose
level lines are ellipses
Density of States in Landau Level Tails of GaAs-AlxGa1-xAs Heterostructures
From an analysis of the thermally activated resistivity as a function of the magnetic field in the quantum Hall regime we deduced the position of the Fermi energy in the mobility gap as a function of the filling factor and therefore the density of states. The measured density of states is best described by a Gaussian like profile superimposed on a constant background
Focus accent, word length and position as cues to L1 and L2 word recognition
The present study examines native and nonnative perceptual processing of semantic information conveyed by prosodic prominence. Five groups of German learners of English each listened to one of 5 experimental conditions. Three conditions differed in place of focus accent in the sentence and two conditions were with spliced stimuli. The experiment condition was presented first in the learnersâ L1 (German) and then in a similar set in the L2 (English). The effect of the accent condition and of the length and position of the target in the sentence was evaluated in a probe recognition task. In both the L1 and L2 tasks there was no significant effect in any of the five focus conditions. Target position and target word length had an effect in the L1 task. Word length did not affect accuracy rates in the L2 task. For probe recognition in the L2, word length and the position of the target interacted with the focus condition
A manual for student-teachers of comprehensive general shops
Not available.Edgar E. StahlNot ListedNot ListedMaster of ScienceDepartment Not ListedCunningham Memorial library, Terre Haute, Indiana State University.isua-thesis-1943-stahl.pdfMastersTitle from document title page. Document formatted into pages: contains 93p. : ill. Includes bibliography
Following in Californiaâs Footsteps?: Pennsylvania Eliminates the De Minimis Exception in State Wage and Hour Claims
Under the Fair Labor Standards Act (âFLSAâ), employers risk receiving wage and hour violations if they fail to compensate employees for all âhours workedâ or fail to adhere to minimum wage and overtime requirements. The de minimis doctrine provides an exception to this general rule and excuses employers from compensating employees for insignificant amounts of time spent on otherwise compensable off-the-clock work activities. Examples of de minimis off-the-clock work activities include waiting for a computer to load or waiting to log onto a computer network. These activities are considered de minimis because they take only a minute or less, and under the doctrine, employees cannot receive compensation for such trivial amounts of time under the FLSA. Employers must also comply with state wage orders and labor codes, which may provide higher protections than the FLSA. Because of the differences in worker protections, the de minimis doctrineâs application will differ from an off-theclock claim brought under the FLSA versus state wage and hour laws. In July 2021, Pennsylvania became the second stateâafter Californiaâto refuse to apply the de minimis doctrine in state wage and hour claims. Pennsylvania should not eliminate the de minimis exception under state wage and hour law because (1) the doctrine has utility and roots in Pennsylvania law; (2) other jurisdictions have favorably cited to the doctrine in the realm of wage and employment disputes; and (3) the doctrine helps to create a barrier from unlimited disputes arising against employers
Effective Governance of Global Financial Markets:An Evolutionary Plan for Reform
Runaway electrons, which are generated in a plasma where the induced electric field exceeds a certain critical value, can reach very high energies in the MeV range. For such energetic electrons, radiative losses will contribute significantly to the momentum space dynamics. Under certain conditions, due to radiative momentum losses, a non-monotonic feature - a âbump' - can form in the runaway electron tail, creating a potential for bump-on-tail-type instabilities to arise. Here, we study the conditions for the existence of the bump. We derive an analytical threshold condition for bump appearance and give an approximate expression for the minimum energy at which the bump can appear. Numerical calculations are performed to support the analytical derivation
Similarity Measure Development for Case-Based Reasoning- A Data-driven Approach
In this paper, we demonstrate a data-driven methodology for modelling the
local similarity measures of various attributes in a dataset. We analyse the
spread in the numerical attributes and estimate their distribution using
polynomial function to showcase an approach for deriving strong initial value
ranges of numerical attributes and use a non-overlapping distribution for
categorical attributes such that the entire similarity range [0,1] is utilized.
We use an open source dataset for demonstrating modelling and development of
the similarity measures and will present a case-based reasoning (CBR) system
that can be used to search for the most relevant similar cases
Synchrotron radiation from a runaway electron distribution in tokamaks
The synchrotron radiation emitted by runaway electrons in a fusion plasma
provides information regarding the particle momenta and pitch-angles of the
runaway electron population through the strong dependence of the synchrotron
spectrum on these parameters. Information about the runaway density and its
spatial distribution, as well as the time evolution of the above quantities,
can also be deduced. In this paper we present the synchrotron radiation spectra
for typical avalanching runaway electron distributions. Spectra obtained for a
distribution of electrons are compared to the emission of mono-energetic
electrons with a prescribed pitch-angle. We also examine the effects of
magnetic field curvature and analyse the sensitivity of the resulting spectrum
to perturbations to the runaway distribution. The implications for the deduced
runaway electron parameters are discussed. We compare our calculations to
experimental data from DIII-D and estimate the maximum observed runaway energy.Comment: 22 pages, 12 figures; updated author affiliations, fixed typos, added
a sentence at the end of section I
Eta Carinae across the 2003.5 Minimum: Analysis in the visible and near infrared spectral region
We present an analysis of the visible through near infrared spectrum of Eta
Carinae and its ejecta obtained during the "Eta Carinae Campaign with the UVES
at the ESO VLT". This is a part of larger effort to present a complete Eta
Carinae spectrum, and extends the previously presented analyses with the
HST/STIS in the UV (1240-3159 A) to 10,430 A. The spectrum in the mid and near
UV is characterized by the ejecta absorption. At longer wavelengths, stellar
wind features from the central source and narrow emission lines from the
Weigelt condensations dominate the spectrum. However, narrow absorption lines
from the circumstellar shells are present. This paper provides a description of
the spectrum between 3060 and 10,430 A, including line identifications of the
ejecta absorption spectrum, the emission spectrum from the Weigelt
condensations and the P-Cygni stellar wind features. The high spectral
resolving power of VLT/UVES enables equivalent width measurements of atomic and
molecular absorption lines for elements with no transitions at the shorter
wavelengths. However, the ground based seeing and contributions of nebular
scattered radiation prevent direct comparison of measured equivalent widths in
the VLT/UVES and HST/STIS spectra. Fortunately, HST/STIS and VLT/UVES have a
small overlap in wavelength coverage which allows us to compare and adjust for
the difference in scattered radiation entering the instruments' apertures. This
paper provides a complete online VLT/UVES spectrum with line identifications
and a spectral comparison between HST/STIS and VLT/UVES between 3060 and 3160
A.Comment: 13 pages, 11 figures + atlas. The paper accepted for the ApJS and is
accompanied with an atlas in the online edition pape
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