2,873,917 research outputs found
A differential method of maximum entropy
We consider a differential method of maximum entropy that is based on the
linearity of Fourier transform and involves reconstruction of images from the
differences of the visibility function. The efficiency of the method is
demonstrated with respect to the recovery of source images with bright
components against the background of a sufficiently weak extended base. The
simulation results are given along with the maps of an extragalactic radio
source 0059+581, which were obtained using the standard and differential
methods of maximum entropy for three observation dates and show that the
principle of differential mapping allows us to increase considerably the
dynamic interval of images.Comment: Latex, 6 pages with 4 Postscript figure
Duality and zero-point length of spacetime
The action for a relativistic free particle of mass receives a
contribution from a path segment of infinitesimal length . Using
this action in a path integral, one can obtain the Feynman propagator for a
spinless particle of mass . If one of the effects of quantizing gravity is
to introduce a minimum length scale in the spacetime, then one would
expect the segments of paths with lengths less than to be suppressed in
the path integral. Assuming that the path integral amplitude is invariant under
the `duality' transformation , one can calculate the modified
Feynman propagator. I show that this propagator is the same as the one obtained
by assuming that: quantum effects of gravity leads to modification of the
spacetime interval to . This equivalence suggests a
deep relationship between introducing a `zero-point-length' to the spacetime
and postulating invariance of path integral amplitudes under duality
transformations.Comment: Revtex document; 4 page
Expansions of the solutions of the general Heun equation governed by two-term recurrence relations for coefficients
We examine the expansions of the solutions of the general Heun equation in
terms of the Gauss hypergeometric functions. We present several expansions
using functions, the forms of which differ from those applied before. In
general, the coefficients of the expansions obey three-term recurrence
relations. However, there exist certain choices of the parameters for which the
recurrence relations become two-term. The coefficients of the expansions are
then explicitly expressed in terms of the gamma functions. Discussing the
termination of the presented series, we show that the finite-sum solutions of
the general Heun equation in terms of generally irreducible hypergeometric
functions have a representation through a single generalized hypergeometric
function. Consequently, the power-series expansion of the Heun function for any
such case is governed by a two-term recurrence relation
Single and pair production of heavy leptons in model
We investigate the single and pair production of new heavy leptons via string
inspired model at future linear colliders. Signal and corresponding
backgrounds for these leptons are studied. We have found that single production
of heavy leptons is more relevant than that of pair production, as expected.
For a maximal mixing value of 0.1, the upper mass limits of 2750 GeV in the
single case and 1250 GeV in the pair production case are obtained at
TeV collider option.Comment: 14 pages, 10 figure
Reciprocity in Social Networks with Capacity Constraints
Directed links -- representing asymmetric social ties or interactions (e.g.,
"follower-followee") -- arise naturally in many social networks and other
complex networks, giving rise to directed graphs (or digraphs) as basic
topological models for these networks. Reciprocity, defined for a digraph as
the percentage of edges with a reciprocal edge, is a key metric that has been
used in the literature to compare different directed networks and provide
"hints" about their structural properties: for example, are reciprocal edges
generated randomly by chance or are there other processes driving their
generation? In this paper we study the problem of maximizing achievable
reciprocity for an ensemble of digraphs with the same prescribed in- and
out-degree sequences. We show that the maximum reciprocity hinges crucially on
the in- and out-degree sequences, which may be intuitively interpreted as
constraints on some "social capacities" of nodes and impose fundamental limits
on achievable reciprocity. We show that it is NP-complete to decide the
achievability of a simple upper bound on maximum reciprocity, and provide
conditions for achieving it. We demonstrate that many real networks exhibit
reciprocities surprisingly close to the upper bound, which implies that users
in these social networks are in a sense more "social" than suggested by the
empirical reciprocity alone in that they are more willing to reciprocate,
subject to their "social capacity" constraints. We find some surprising linear
relationships between empirical reciprocity and the bound. We also show that a
particular type of small network motifs that we call 3-paths are the major
source of loss in reciprocity for real networks
Pairing and realistic shell-model interactions
This paper starts with a brief historical overview of pairing in nuclei,
which fulfills the purpose of properly framing the main subject. This concerns
the pairing properties of a realistic shell-model effective interaction which
has proved very successful in describing nuclei around doubly magic 132Sn. We
focus attention on the two nuclei 134Te and 134Sn with two valence protons and
neutrons, respectively. Our study brings out the key role of one particle-one
hole excitations in producing a significant difference between proton and
neutron pairing in this region
Glycerol as an Energy Source for Ruminants: a Meta-Analysis of in Vitro Experiments
Glycerol or glycerin is generally recognized as a safe compound to be used in animal feed, especially for ruminants. A number of in vitro studies related to glycerol supplementation in ruminant ration have been published but to date the results have not been summarized. The objective of this study was, therefore, to evaluate in vitro digestibility, ruminal fermentation characteristics, total gas and methane production through the meta-analysis approach. Meta-analysis was applied to 13 experiments and 42 treatments dealing with glycerol supplementation in ruminants. Data were analyzed by general linear model procedure in which the glycerol levels and the different studies were treated as fixed effects. Results revealed that glycerol supplementation did not affect the in vitro digestibility and total VFA production, but significantly decreased molar proportion of acetate and iso-valerate (P<0.05). In contrast, molar proportion of propionate, butyrate, and valerate significantly increased, and thus the ratio of acetate to propionate declined linearly (P<0.05). Methane production decreased linearly and accompanied with an increase of total gas production with increasing levels of glycerol supplementation (P<0.05). It is concluded that the use of glycerol as an energy substitution in animal feed has no detrimental effects in the rumen and environmentally friendly
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