41,321 research outputs found
Community-Based Exercise Education During Colder Months
Approximately 50% of US adults and 75% of US high school students don\u27t meet recommended weekly physical activity guidelines, and physical activity declines further during colder seasons. Resources describing local suggestions for physical activity should be made broadly available to community members, such as at their primary health care office.https://scholarworks.uvm.edu/fmclerk/1514/thumbnail.jp
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Energy Cost Pass-Through in U.S. Manufacturing: Estimates and Implications for Carbon Taxes
Numerical Models of Spin-Orbital Coupling in Neutron Star Binaries
We present a new numerical scheme for solving the initial value problem for
quasiequilibrium binary neutron stars allowing for arbitrary spins. We
construct sequences of circular-orbit binaries of varying separation, keeping
the rest mass and circulation constant along each sequence. The spin angular
frequency of the stars is shown to vary along the sequence, a result that can
be derived analytically in the PPN limit. This spin effect, in addition to
leaving an imprint on the gravitational waveform emitted during binary
inspiral, is measurable in the electromagnetic signal if one of the stars is a
pulsar visible from Earth.Comment: 4 pages, 3 figures. Submitted to the Proceedings of the "X Marcel
Grossmann Meeting on General Relativity" in Rio de Janeiro, Brazil, July
20-26 (2003
Impact of Rotation on Quark-Hadron Hybrid Stars
Many recent observations give restrictions to the equation of state (EOS) for
high-density matter. Theoretical studies are needed to try to elucidate these
EOSs at high density and/or temperature. With the many known rapidly rotating
neutron stars, e.g., pulsars, several theoretical studies have tried to take
into account the effects of rotation. In our study of these systems, we find
that one of our EOSs is consistent with recent observation, whereas the other
is inconsistent.Comment: Quarks and Compact Stars 201
What Do We Really Know About Cosmic Acceleration?
Essentially all of our knowledge of the acceleration history of the Universe
- including the acceleration itself - is predicated upon the validity of
general relativity. Without recourse to this assumption, we use SNeIa to
analyze the expansion history and find (i) very strong (5 sigma) evidence for a
period of acceleration, (ii) strong evidence that the acceleration has not been
constant, (iii) evidence for an earlier period of deceleration and (iv) only
weak evidence that the Universe has not been decelerating since z~0.3.Comment: 9 pages, 8 figure
Maximal and inextensible polynomials and the geometry of the spectra of normal operators
We consider the set S(n,0) of monic complex polynomials of degree
having all their zeros in the closed unit disk and vanishing at 0. For we let denote the distance from the origin to the zero set of
. We determine all 0-maximal polynomials of degree , that is, all
polynomials such that for any .
Using a second order variational method we then show that although some of
these polynomials are inextensible, they are not necessarily locally maximal
for Sendov's conjecture. This invalidates the recently claimed proofs of the
conjectures of Sendov and Smale and shows that the method used in these proofs
can only lead to (already known) partial results. In the second part of the
paper we obtain a characterization of the critical points of a complex
polynomial by means of multivariate majorization relations. We also propose an
operator theoretical approach to Sendov's conjecture, which we formulate in
terms of the spectral variation of a normal operator and its compression to the
orthogonal complement of a trace vector. Using a theorem of Gauss-Lucas type
for normal operators, we relate the problem of locating the critical points of
complex polynomials to the more general problem of describing the relationships
between the spectra of normal matrices and the spectra of their principal
submatrices.Comment: A condensed version of the first half of this paper appeared in Math.
Scand., see arXiv:math/0601600. Parts of the second half appeared in Trans.
Amer. Math. Soc., see arXiv:math/0601519. The current version contains the
full details of the counterexample constructions and some other result
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