22,870 research outputs found
Approximate closed-form formulas for the zeros of the Bessel Polynomials
We find approximate expressions x(k,n) and y(k,n) for the real and imaginary
parts of the kth zero z_k=x_k+i y_k of the Bessel polynomial y_n(x). To obtain
these closed-form formulas we use the fact that the points of well-defined
curves in the complex plane are limit points of the zeros of the normalized
Bessel polynomials. Thus, these zeros are first computed numerically through an
implementation of the electrostatic interpretation formulas and then, a fit to
the real and imaginary parts as functions of k and n is obtained. It is shown
that the resulting complex number x(k,n)+i y(k,n) is O(1/n^2)-convergent to z_k
for fixed kComment: 9 pages, 2 figure
Impact of the commercial fishery on the population of bait shrimp (Penaeus spp.) in Biscayne Bay, 1986
Monthly population size of bait shrimp in the Bay was estimated from December 1984 to July 1985. Growth rates for male and female P. duorarum showed that pink shrimp
exhibit a mean residence time in the nursery area (Biscayne Bay) of approximately 21 weeks. Monthly mortality rates were determined for each sex of pink shrimp. It was
estimated that 23% and 26% of the male and female monthly population size, respectively, was absorbed by both the fishery and ecosystem monthly. Monthly proportion of the standing stock expected to die exclusively through fishing was 6.5% and 6.0% for males and females respectively. Estimates of emigration rates showed that approximately 4.0% of the population was lost from the Bay system each month. This surplus production was about 50% of the average monthly catch by the fleet. Fishing mortality represents only 8 - 9% of the losses to the shrimp population. The
biggest source of loss is emigration, suggesting that most shrimp beyond the size at recruitment (to the fishery) are not utilized for food while in the Bay. Thus, it appears
that the direct impact of the fishery on the bait shrimp population is relatively small. (PDF contains 46 pages
Searching for Bayesian Network Structures in the Space of Restricted Acyclic Partially Directed Graphs
Although many algorithms have been designed to construct Bayesian network
structures using different approaches and principles, they all employ only two
methods: those based on independence criteria, and those based on a scoring
function and a search procedure (although some methods combine the two). Within
the score+search paradigm, the dominant approach uses local search methods in
the space of directed acyclic graphs (DAGs), where the usual choices for
defining the elementary modifications (local changes) that can be applied are
arc addition, arc deletion, and arc reversal. In this paper, we propose a new
local search method that uses a different search space, and which takes account
of the concept of equivalence between network structures: restricted acyclic
partially directed graphs (RPDAGs). In this way, the number of different
configurations of the search space is reduced, thus improving efficiency.
Moreover, although the final result must necessarily be a local optimum given
the nature of the search method, the topology of the new search space, which
avoids making early decisions about the directions of the arcs, may help to
find better local optima than those obtained by searching in the DAG space.
Detailed results of the evaluation of the proposed search method on several
test problems, including the well-known Alarm Monitoring System, are also
presented
Lattice calculations on the spectrum of Dirac and Dirac-K\"ahler operators
We present a matrix technique to obtain the spectrum and the analytical index
of some elliptic operators defined on compact Riemannian manifolds. The method
uses matrix representations of the derivative which yield exact values for the
derivative of a trigonometric polynomial. These matrices can be used to find
the exact spectrum of an elliptic operator in particular cases and in general,
to give insight into the properties of the solution of the spectral problem. As
examples, the analytical index and the eigenvalues of the Dirac operator on the
torus and on the sphere are obtained and as an application of this technique,
the spectrum of the Dirac-Kahler operator on the sphere is explored.Comment: 11 page
The Non-Abelian Self Dual String on the Light Cone
We construct the scalar profile for the non-abelian self dual string
connecting two M5-branes compactified on a light-like circle. The construction
is based on a conjectured modified version of Nahm's equations describing a
D2-brane, with a magnetic field on it, suspended between two D4-branes. Turning
on a constant magnetic field on the D2-brane corresponds to a boost in the
eleventh direction. In the limit of infinite boost the D4-branes correspond to
light-like compactified M5-branes. The solution for the scalar profile of the
brane remains finite in this limit and displays all the correct expected
features such as smooth interpolation between the unbroken and broken phase
with the correct value for the Higgs field at infinity.Comment: 13 pages, LaTeX 2e, 2 figure
A novel evolutionary formulation of the maximum independent set problem
We introduce a novel evolutionary formulation of the problem of finding a
maximum independent set of a graph. The new formulation is based on the
relationship that exists between a graph's independence number and its acyclic
orientations. It views such orientations as individuals and evolves them with
the aid of evolutionary operators that are very heavily based on the structure
of the graph and its acyclic orientations. The resulting heuristic has been
tested on some of the Second DIMACS Implementation Challenge benchmark graphs,
and has been found to be competitive when compared to several of the other
heuristics that have also been tested on those graphs
Comparison of the physical properties of vermicompost from paper mill sludge and green compost as substitutes for peat-based potting media
The properties of vermicompost, green compost, and their mixes as substitutes for peat were evaluated regarding their recommendation for potting media. The mixes with a maximum of 50% of vermicompost or green compost had acceptable air filled porosity (AFP) and easily available water (EAW). In the vermicompost the level of organic matter (OM), dry bulk density (DBD) and shrinkage were acceptable; however, the AFP and EAW together were not at the recommended level in the different batches; as a consequence, vermicompost should not be used alone for potting media. In the green compost, the level of OM was low which increased the DBD and consequently the AFP was diminished. The particle size distribution (PSD) was different among peat, vermicompost and green compost. The coarse peat had the lower proportion of particles from 0.25 to 2.00 mm (41%) whereas the green compost had the lower coarseness index (CI: percentage by weight of particles larger than 0.5 mm in diameter), 48.4%. The direct effect of the PSD, OM and DBD in the water and air availability was confirmed. Moreover, there were high correlations between the OM, DBD, shrinkage, pore volume and PSD with the water release curve. Those properties should be considered in order to increase the level of substitution of vermicompost in peat-based potting media
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