2,481 research outputs found
A new proof of Watson's theorem for the series 3F2(1)
We give a new proof of the classical Watson theorem for the summation of a 3F2 hypergeometric series of unit argument. The proof relies on the two well-known Gauss summation theorems for the 2F1 function
Keck Observations of the Most Distant Galaxy: 8C1435+63 at z=4.25
We report on Keck observations and confirm the redshift of the most distant
galaxy known: 8C1435+63 at z=4.25. The spectrum shows a strong Ly line,
a Ly forest continuum break and a continuum break at
\AA. The Ly emission is spatially extended and
roughly aligned with the radio source. The galaxy shows a double structure in
the -band (1500\AA) which is aligned with the radio
axis; the two -band components spatially coincide with the nuclear and
southern radio components. Some fraction of the band emission could be due
to a nonthermal process such as inverse compton scattering. In the -band
(4200\AA), which may be dominated by starlight, the
galaxy has a very low surface brightness, diffuse morphology. The
morphology shows little relationship to the radio source structure, although
the major axis of the emission is elongated roughly in the direction of the
radio source axis. The galaxian continuum is very red () and if the
continuum is due to starlight, implies a formation redshift of . We
speculate that this galaxy may be the progenitor of a present day cD galaxy.Comment: 4 pages + 4 figures; uuencoded tar compressed PostScript files;
figures and tables included. To appear in 1 Jan 1995 issue of The
Astrophysical Journal, Letters. Please direct requests/questions/comments to
[email protected]
A derivation of two quadratic transformations contiguous to that of Gauss via a differential equation approach
The purpose of this note is to provide an alternative proof of two quadratic transformation formulas contiguous to that of Gauss using a differential equation approach
Real Asset Ownership and the Risk and Return to Stockholders
Many corporations own a significant amount of real assets and this includes real estate. However, the effect of real asset ownership on the risk and return for a firm’s stockholders is unknown. This study attempts to ascertain the effect, if any, of corporate real asset ownership on the risk and return to stockholders. Using data from 1985 through 1994, the results indicate a lack of diversification benefits associated with holding real assets.
Free energy differences : Representations, estimators, and sampling strategies
In this thesis we examine methodologies for determining free energy
differences (FEDs) of phases via Monte Carlo simulation. We identify and
address three generic issues that arise in FED calculations; the choice of
representation, the choice of estimator, and the choice of sampling strategy.
In addition we discuss how the classical framework may be extended to take into
account quantum effects.
Key words: Phase Mapping, Phase Switch, Lattice Switch, Simulated Tempering,
Multi-stage, Weighted Histogram Analysis Method, Fast Growth, Jarzynski method,
Umbrella, Multicanonical, Path Integral Monte Carlo, Path Sampling,
Multihamiltonian, fluctuation theoremComment: Ph.D. Thesis, University of Edinburgh, pdflatex, bibte
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