34,264 research outputs found

### Comment on ``Consistency, amplitudes and probabilities in quantum theory'' by A. Caticha

A carefully written paper by A. Caticha [Phys. Rev. A57, 1572 (1998)] applies
consistency arguments to derive the quantum mechanical rules for compounding
probability amplitudes in much the same way as earlier work by the present
author [J. Math. Phys. 29, 398 (1988) and Int. J. Theor. Phys. 27, 543 (1998)].
These works are examined together to find the minimal assumptions needed to
obtain the most general results

### Simulations of Dust in Interacting Galaxies

A new Monte-Carlo radiative-transfer code, Sunrise, is used to study the
effects of dust in N-body/hydrodynamic simulations of interacting galaxies.
Dust has a profound effect on the appearance of the simulated galaxies. At peak
luminosities, about 90% of the bolometric luminosity is absorbed, and the dust
obscuration scales with luminosity in such a way that the brightness at
UV/visual wavelengths remains roughly constant. A general relationship between
the fraction of energy absorbed and the ratio of bolometric luminosity to
baryonic mass is found. Comparing to observations, the simulations are found to
follow a relation similar to the observed IRX-Beta relation found by Meurer et
al (1999) when similar luminosity objects are considered. The
highest-luminosity simulated galaxies depart from this relation and occupy the
region where local (U)LIRGs are found. This agreement is contingent on the
presence of Milky-Way-like dust, while SMC-like dust results in far too red a
UV continuum slope to match observations. The simulations are used to study the
performance of star-formation indicators in the presence of dust. The
far-infrared luminosity is found to be reliable. In contrast, the H-alpha and
far-UV luminosity suffer severely from dust attenuation, and dust corrections
can only partially remedy the situation.Comment: 4 pages, 5 figures, to appear in the proceedings of the conference
"The Spectral Energy Distribution of Gas-Rich Galaxies", eds. C.C. Popescu &
R.J. Tuffs (Heidelberg, October 2004

### A Morse index theorem for elliptic operators on bounded domains

Given a selfadjoint, elliptic operator $L$, one would like to know how the
spectrum changes as the spatial domain $\Omega \subset \mathbb{R}^d$ is
deformed. For a family of domains $\{\Omega_t\}_{t\in[a,b]}$ we prove that the
Morse index of $L$ on $\Omega_a$ differs from the Morse index of $L$ on
$\Omega_b$ by the Maslov index of a path of Lagrangian subspaces on the
boundary of $\Omega$. This is particularly useful when $\Omega_a$ is a domain
for which the Morse index is known, e.g. a region with very small volume. Then
the Maslov index computes the difference of Morse indices for the "original"
problem (on $\Omega_b$) and the "simplified" problem (on $\Omega_a$). This
generalizes previous multi-dimensional Morse index theorems that were only
available on star-shaped domains or for Dirichlet boundary conditions. We also
discuss how one can compute the Maslov index using crossing forms, and present
some applications to the spectral theory of Dirichlet and Neumann boundary
value problems.Comment: 21 pages; weaker regularity assumptions than in the first versio

### Application of remote sensing technology to land evaluation, planning utilization of land resources, and assessment of westland habitat in eastern South Dakota, parts 1 and 2

The author has identified the following significant results. LANDSAT fulfilled the requirements for general soils and land use information. RB-57 imagery was required to provide the information and detail needed for mapping soils for land evaluation. Soils maps for land evaluation were provided on clear mylar at the scale of the county highway map to aid users in locating mapping units. Resulting mapped data were computer processed to provided a series of interpretive maps (land value, limitations to development, etc.) and area summaries for the users

### Models of competitive learning: complex dynamics, intermittent conversions and oscillatory coarsening

We present two models of competitive learning, which are respectively
interfacial and cooperative learning. This learning is outcome-related, so that
spatially and temporally local environments influence the conversion of a given
site between one of two different types. We focus here on the behavior of the
models at coexistence, which yields new critical behavior and the existence of
a phase involving a novel type of coarsening which is oscillatory in nature.Comment: 23 pages, 11 figures. To appear in Phys. Rev.

### Multiple Molecular H2 Outflows in AFGL 618

We report high spatial (0.5 arcsec) and high spectral (9 km/s) resolution
spectro-imaging of the 2.12 micron H2 1-0 S(1) line in the proto-planetary
nebula AFGL 618 using BEAR at the CFHT. The observations reveal the presence of
multiple, high-velocity, molecular outflows that align with the remarkable
optical jets seen in HST images. The structure and kinematics of the outflows
show how jets interact with circumstellar gas and shape the environment in
which planetary nebulae form.Comment: 14 pages, 5 figures. To appear in The Astrophysical Journal Letter

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