2,236 research outputs found
Towards a generalisation of formal concept analysis for data mining purposes
In this paper we justify the need for a generalisation of Formal
Concept Analysis for the purpose of data mining and begin the
synthesis of such theory. For that purpose, we first review semirings and
semimodules over semirings as the appropriate objects to use in abstracting
the Boolean algebra and the notion of extents and intents, respectively.
We later bring to bear powerful theorems developed in the field
of linear algebra over idempotent semimodules to try to build a Fundamental
Theorem for K-Formal Concept Analysis, where K is a type of
idempotent semiring. Finally, we try to put Formal Concept Analysis in
new perspective by considering it as a concrete instance of the theory
developed
Self-diffusion for a weakly-coupled plasma in a magnetic field
The longitudinal self-diffusion coefficient for a magnetized plasma with a small plasma parameter is calculated from kinetic theory in the weak-coupling approximation. Asymptotic expressions for this coefficient are derived in the limits of weak and of strong magnetic field. For intermediate strength of the magnetic field numerical results are presented
Computer Algebra meets Finite Elements: an Efficient Implementation for Maxwell's Equations
We consider the numerical discretization of the time-domain Maxwell's
equations with an energy-conserving discontinuous Galerkin finite element
formulation. This particular formulation allows for higher order approximations
of the electric and magnetic field. Special emphasis is placed on an efficient
implementation which is achieved by taking advantage of recurrence properties
and the tensor-product structure of the chosen shape functions. These
recurrences have been derived symbolically with computer algebra methods
reminiscent of the holonomic systems approach.Comment: 16 pages, 1 figure, 1 table; Springer Wien, ISBN 978-3-7091-0793-
Magnetic Field Stimulated Transitions of Excited States in Fast Muonic Helium Ions
It is shown that one can stimulate, by using the present-day laboratory
magnetic fields, transitions between the sub-levels of fast
ions formating in muon catalyzed fusion. Strong fields also cause the
self-ionization from highly excited states of such muonic ions. Both effects
are the consequence of the interaction of the bound muon with the oscillating
field of the Stark term coupling the center-of-mass and muon motions of the
ion due to the non-separability of the collective and internal
variables in this system. The performed calculations show a possibility to
drive the population of the sub-levels by applying a field of a few
, which affects the reactivation rate and is especially important to the
-ray production in muon catalyzed fusion. It is also shown that
the splitting in due to the vacuum polarization slightly
decreases the stimulated transition rates.Comment: 5 figure
The Complex Topology of Chemical Plants
We show that flowsheets of oil refineries can be associated to complex
network topologies that are scale-free, display small-world effect and possess
hierarchical organization. The emergence of these properties from such man-made
networks is explained as a consequence of the currently used principles for
process design, which include heuristics as well as algorithmic techniques. We
expect these results to be valid for chemical plants of different types and
capacities.Comment: 7 pages, 5 figures and 1 tabl
The mass insertion approximation without squark degeneracy
We study the applicability of the mass insertion approximation (MIA) for
calculations of neutral meson mixing when squark masses are not degenerate and,
in particular, in models of alignment. We show that the MIA can give results
that are much better than an order of magnitude estimate as long as the masses
are not strongly hierarchical. We argue that, in an effective two-squark
framework, m_q=(m_1+m_2)/2 is the best choice for the MIA expansion point,
rather than, for example, m_q^2=(m_1^2+m_2^2)/2.Comment: 7 pages, revtex
NLTE wind models of hot subdwarf stars
We calculate NLTE models of stellar winds of hot compact stars (central stars
of planetary nebulae and subdwarf stars). The studied range of subdwarf
parameters is selected to cover a large part of these stars. The models predict
the wind hydrodynamical structure and provide mass-loss rates for different
abundances. Our models show that CNO elements are important drivers of subdwarf
winds, especially for low-luminosity stars. We study the effect of X-rays and
instabilities on these winds. Due to the line-driven wind instability, a
significant part of the wind could be very hot.Comment: 7 pages, to appear in Astrophysics and Space Science. The final
publication will be available at springerlink.com
Analysis of No-Difference Findings in Evaluation Research
Conclusions of no difference are becoming increasingly important in evaluation research. We delineate three major uses of no-difference findings and analyze their meanings. (1) No-differ ence findings in randomized experiments can be interpreted as support for conclusions of the absence of a meaningful treatment effect, but only if the proper analytic methods are used. (2) Statistically based conclusions in quasi-experiments do not allow causal statements about the treatment impact but do provide a metric to judge the size of the resulting difference. (3) Using no-difference findings to conclude equivalence on control variables is inefficient and potentially misleading. The final section of the article presents alternative methods by which conclusions of no difference may be supported when applicable. These methods include the use of arbitrarily high alpha levels, interval estimation, and power analysis.Peer Reviewedhttp://deepblue.lib.umich.edu/bitstream/2027.42/67182/2/10.1177_0193841X8901300604.pd
States insensitive to the Unruh effect in multi-level detectors
We give a general treatment of the spontaneous excitation rates and the
non-relativistic Lamb shift of constantly accelerated multi-level atoms as a
model for multi-level detectors. Using a covariant formulation of the dipole
coupling between the atom and the electromagnetic field we show that new
Raman-like transitions can be induced by the acceleration. Under certain
conditions these transitions can lead to stable ground and excited states which
are not affected by the non inertial motion. The magnitude of the Unruh effect
is not altered by multi-level effects. Both the spontaneous excitation rates
and the Lamb shift are not within the range of measurability.Comment: 9 Pages, late
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