777 research outputs found
Parafermionic algebras, their modules and cohomologies
We explore the Fock spaces of the parafermionic algebra introduced by H.S.
Green. Each parafermionic Fock space allows for a free minimal resolution by
graded modules of the graded 2-step nilpotent subalgebra of the parafermionic
creation operators. Such a free resolution is constructed with the help of a
classical Kostant's theorem computing Lie algebra cohomologies of the nilpotent
subalgebra with values in the parafermionic Fock space. The Euler-Poincar\'e
characteristics of the parafermionic Fock space free resolution yields some
interesting identities between Schur polynomials. Finally we briefly comment on
parabosonic and general parastatistics Fock spaces.Comment: 10 pages, talk presented at the International Workshop "Lie theory
and its applications in Physics" (17-23 June 2013, Varna, Bulgaria
Automatic Abstraction for Congruences
One approach to verifying bit-twiddling algorithms is to derive invariants between the bits that constitute the variables of a program. Such invariants can often be described with systems of congruences where in each equation , (unknown variable m)\vec{c}\vec{x}$ is a vector of propositional variables (bits). Because of the low-level nature of these invariants and the large number of bits that are involved, it is important that the transfer functions can be derived automatically. We address this problem, showing how an analysis for bit-level congruence relationships can be decoupled into two parts: (1) a SAT-based abstraction (compilation) step which can be automated, and (2) an interpretation step that requires no SAT-solving. We exploit triangular matrix forms to derive transfer functions efficiently, even in the presence of large numbers of bits. Finally we propose program transformations that improve the analysis results
Examining the entry of Walmart into South Africa : a stakeholder management perspective
The recent entry of the US multinational Walmart into South Africa has proved to
be a source of controversy. Key stakeholders in South Africa objected to the
merger and attempted to block it unless certain conditions were met. The aim of
this study was to examine the controversy and the conditions surrounding the
merger. The research employed a qualitative archival analysis to examine publicly
available sources of information with regard to the merger. The findings revealed
key stakeholders’ concerns that Walmart’s entry would lead to an increase in
imports which would displace local producers, increase unemployment,
marginalise trade unions and lower labour standards unless certain conditions
were met. The results also revealed problems relating to the firm’s primary focus
on “business” while neglecting “public interest” issues, naively relying on their
“local retailer” to manage key stakeholders, and assuming that their perceived
controversial reputation regarding treatment of trade unions and their views about
unemployment as well as the controversies surrounding their history of entry into
other global markets would not have the major negative impact it did on
stakeholders in South Africa.http://reference.sabinet.co.za/sa_epublication/labouram201
Deviation of Atmospheric Mixing from Maximal and Structure in the Leptonic Flavor Sector
I attempt to quantify how far from maximal one should expect the atmospheric
mixing angle to be given a neutrino mass-matrix that leads, at zeroth order, to
a nu_3 mass-eigenstate that is 0% nu_e, 50% nu_mu, and 50% nu_tau. This is done
by assuming that the solar mass-squared difference is induced by an
"anarchical" first order perturbation, an approach than can naturally lead to
experimentally allowed values for all oscillation parameters. In particular,
both |cos 2theta_atm| (the measure for the deviation of atmospheric mixing from
maximal) and |U_e3| are of order sqrt(Delta m^2_sol/Delta m^2_atm) in the case
of a normal neutrino mass-hierarchy, or of order Delta m^2_sol/Delta m^2_atm in
the case of an inverted one. Hence, if any of the textures analyzed here has
anything to do with reality, next-generation neutrino experiments can see a
nonzero cos 2theta_atm in the case of a normal mass-hierarchy, while in the
case of an inverted mass-hierarchy only neutrino factories should be able to
see a deviation of sin^2 2theta_atm from 1.Comment: 12 pages, no figures, references and acknowledgments adde
Inherited predisposition to breast cancer in the Carolina Breast Cancer Study
The Carolina Breast Cancer Study (CBCS) phases I–II was a case-control study of biological and social risk factors for invasive breast cancer that enrolled cases and controls between 1993 and 1999. Case selection was population-based and stratified by ancestry and age at diagnosis. Controls were matched to cases by age, self-identified race, and neighborhood of residence. Sequencing genomic DNA from 1370 cases and 1635 controls yielded odds ratios (with 95% confidence limits) for breast cancer of all subtypes of 26.7 (3.59, 189.1) for BRCA1, 8.8 (3.44, 22.48) for BRCA2, and 9.0 (2.06, 39.60) for PALB2; and for triple-negative breast cancer (TNBC) of 55.0 (7.01, 431.4) for BRCA1, 12.1 (4.18, 35.12) for BRCA2, and 10.8 (1.97, 59.11) for PALB2. Overall, 5.6% of patients carried a pathogenic variant in BRCA1, BRCA2, PALB2, or TP53, the four most highly penetrant breast cancer genes. Analysis of cases by tumor subtype revealed the expected association of TNBC versus other tumor subtypes with BRCA1, and suggested a significant association between TNBC versus other tumor subtypes with BRCA2 or PALB2 among African-American (AA) patients [2.95 (1.18, 7.37)], but not among European-American (EA) patients [0.62 (0.18, 2.09)]. AA patients with pathogenic variants in BRCA2 or PALB2 were 11 times more likely to be diagnosed with TNBC versus another tumor subtype than were EA patients with pathogenic variants in either of these genes (P = 0.001). If this pattern is confirmed in other comparisons of similarly ascertained AA and EA breast cancer patients, it could in part explain the higher prevalence of TNBC among AA breast cancer patients
Idling Magnetic White Dwarf in the Synchronizing Polar BY Cam. The Noah-2 Project
Results of a multi-color study of the variability of the magnetic cataclysmic
variable BY Cam are presented. The observations were obtained at the Korean
1.8m and Ukrainian 2.6m, 1.2m and 38-cm telescopes in 2003-2005, 56
observational runs cover 189 hours. The variations of the mean brightness in
different colors are correlated with a slope dR/dV=1.29(4), where the number in
brackets denotes the error estimates in the last digits. For individual runs,
this slope is much smaller ranging from 0.98(3) to 1.24(3), with a mean value
of 1.11(1). Near the maximum, the slope becomes smaller for some nights,
indicating more blue spectral energy distribution, whereas the night-to-night
variability has an infrared character. For the simultaneous UBVRI photometry,
the slopes increase with wavelength from dU/dR=0.23(1) to dI/dR=1.18(1). Such
wavelength dependence is opposite to that observed in non-magnetic cataclysmic
variables, in an agreement to the model of cyclotron emission. The principal
component analysis shows two (with a third at the limit of detection)
components of variablitity with different spectral energy distribution, which
possibly correspond to different regions of emission. The scalegram analysis
shows a highest peak corresponding to the 200-min spin variability, its quarter
and to the 30-min and 8-min QPOs. The amplitudes of all these components are
dependent on wavelength and luminosity state. The light curves were fitted by a
statistically optimal trigonometrical polynomial (up to 4-th order) to take
into account a 4-hump structure. The dependences of these parameters on the
phase of the beat period and on mean brightness are discussed. The amplitude of
spin variations increases with an increasing wavelength and with decreasing
brightnessComment: 30pages, 11figures, accepted in Cent.Eur.J.Phy
Resonant leptogenesis in a predictive SO(10) grand unified model
An SO(10) grand unified model considered previously by the authors featuring
lopsided down quark and charged lepton mass matrices is successfully predictive
and requires that the lightest two right-handed Majorana neutrinons be nearly
degenerate in order to obtain the LMA solar neutrino solution. Here we use this
model to test its predictions for baryogenesis through resonant-enhanced
leptogenesis. With the conventional type I seesaw mechanism, the best
predictions for baryogenesis appear to fall a factor of three short of the
observed value. However, with a proposed type III seesaw mechanism leading to
three pairs of massive pseudo-Dirac neutrinos, resonant leptogenesis is
decoupled from the neutrino mass and mixing issues with successful baryogenesis
easily obtained.Comment: 22 pages including 1 figure; published version with reference adde
The UK Fireball Alliance (UKFAll); Combining and Integrating the Diversity of UK Camera Networks to Aim to Recover the First UK Meteorite Fall for 30 Years
No abstract available
Testing neutrino mass matrices with approximate L_e-L_mu-L_tau symmetry
As neutrino experiments are starting to probe the detailed structure of the
neutrino mass matrix, we present sumrules relating its matrix elements for a
class of models with approximate symmetry and the
observables in neutrino oscillation experiments. We show that regardless of how
the above symmetry is broken (whether in the neutrino sector or the charged
lepton sector), as long as the breaking terms are small, there is a lower bound
on the solar neutrino mixing angle, , correlated with the
solar mass difference square, , or the mixing parameter,
. We also discuss models where such patterns can arise.Comment: 11 pages, 3 figures; references and a note added; figure labelling
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