pinecone/core-2020-05-10-deduplication huggingface dataset:
Bernstein equiconvergence and Fejer-type theorems for general rational Fourier series

Let w(t) be a positive weight functionon the interval [-π,π] and associate the positive definite inner product on the unit circle of the complex plane by
<f,g>w=(1/2π)∫_{x=-π...π} f(e^{it})g(e^{it})*w(t)dt.
For a sequence of points {a_k:k=1...∞} included in a compact subset of the open unit disk, we consider the orthogonal rational functions (ORF) {φ_k:k=0...∞} that are obtained by orthogonalization of the sequence {1,z/π_1,z^2/π_2,...} where π_k(z) = ∏_{j=1...k} (1-ã_jz), with respect to this inner product.

In this paper we prove that s_n(z)-S_n(z) tends to zero in |z| ≤ 1 if n tends to ∞, where s_n(z) is the nth partial sum of the expansion of a bounded analytic function F in terms of the ORF {φ_k:k=0...∞} and S_n(z) is the nth partial sum of the ordinary power series expansion of F. The main condition on the weight is that it satisfies a Dini-Lipschitz condition and that it is bounded away from zero. This generalizes a theorem given by Szegö in the polynomial case, that is when all a_k = 0.

As an important consequence we find that under the above conditions on the weight w and the points {a_k:k=1...∞}, the Cesàro means of the series sn converge uniformly to the function F in |z| ≤ 1 if the boundary function f(t):=F(e^{it}) is continous on [0,2π]. This can be seen as a generalization of Fejér's Theorem.status: publishe
A Bayesian hierarchical diffusion model decomposition of performance in approach-avoidance tasks

Common methods for analyzing response time tasks, frequently used across different disciplines of psychology, suffer from a number of limitations such as the failure to directly measure the underlying latent processes of interest and the inability to take into account the uncertainty associated with each individual’s point estimate of performance. Here we discuss a Bayesian hierarchical diffusion model and apply it to response time data. This model allows researchers to decompose performance into meaningful psychological processes and to account optimally for individual differences and commonalities, even with relatively sparse data. We highlight the advantages of the Bayesian hierarchical diffusion model decomposition by applying it to performance on Approach-Avoidance Tasks, widely used in the emotion and psychopathology literature. Model fits for two experimental data sets demonstrate that the model performs well. The Bayesian hierarchical diffusion model overcomes important limitations of current analysis procedures and provides deeper insight in latent psychological processes of interest.status: publishe
‘‘Making it explicit’’ makes a difference: Evidence for a dissociation of spontaneous and intentional level 1 perspectivetaking in high-functioning autism

The ability of perspective taking is a fundamental aspect of social cognition. The ability todecide, what another person can or cannot see is referred to as ‘‘level 1 perspective taking.’’This is thought to be a process that we can make use of intentionally, but which also takesplace spontaneously. Autism is characterized by impairments of social interaction, whichare thought to be related to deficits in implicit rather than explicit perspective taking. Inorder to assess both levels of processing with regard to perspective taking, we employedan established task in patients and controls. Our results demonstrate that both groupsengage in spontaneous level 1 perspective taking. In contrast to controls, however, patientsreacted more slowly if they had to verify the other’s as compared to their own perspective,which shows that participants with high-functioning autism have selective difficulties inexplicit, but not implicit, level 1 perspective taking. These findings demonstrate that whilespontaneous level 1 perspective taking appears to be intact in autism, this ability isimpaired in patients when used explicitly
Vacuum condition and the relation between response parameter and anomaly coefficient in (1 + 3) dimensions

The role of Israel-Hartle-Hawking vacuum is discussed for anomalous fluid in presence of both the gauge and gravitational anomalies in (1 + 3) dimensions. I show that imposition of this vacuum condition leads to the relation c ˜ 4 d = − 8 π 2 c m $$ {\tilde{c}}_{4 d}=-8{\pi}^2{c}_m $$ between the response parameter ( c ˜ 4 d $$ {\tilde{c}}_{4 d} $$ ) and the anomaly coefficient ( c m ). This establishes a connection between the coefficients appearing in a first order and a third order derivative terms in the constitutive relation
Iron oxyhydroxide and sulphide mineralization in hydrocarbon seep-related carbonate submarine chimneys, Gulf of Cadiz (SW Iberian Peninsula)

8 páginas, 5 figuras, 3 tablas.-- El PDF del artículo es su versión pre-print.This paper aims to investigate the iron mineralization hosted in the submarine hydrocarbon seep-related carbonate chimneys, from the Gulf of Cadiz continental slope (SW Iberia). Chimneys are made of a general fine groundmass of major Fe-rich dolomite, ankerite and calcite, small grains of quartz and phyllosilicates, and some foraminifer tests and ostracod shells. Primary porosity is frequently generated inside foraminifer chambers and ostracod shells, and is filled with closely packed microcrystals of iron oxyhydroxide and sulphide minerals forming framboids. Some extremely peculiar multiframboidal textures are also detected, corresponding to microcrystal groups, spherical framboids and euhedral crystals without framboidal texture. The mineralogy observed is mainly goethite (pyrite pseudomorphs); traces of tiny grains of pyrite were also observed. Cubic, octahedral and pyritohedral are the habits observed in both minerals. Chemical analyses of framboids and euhedral crystals display high (often erratic) amounts of As, Co, Ni and Mo in oxyhydroxides and Mo, Pb, V and Co in sulphides versus almost always negligible concentrations of Cu and Zn. A textural, geochemical and mineralogical evolution is proposed to explain the coexistence of different morphologies in the multiframboidal texture: (a) growth and aggregation of microcrystals as typical framboidal-type mineralogical associations; (b) development of euhedral habits; (c) coalescence and homogenization of the microcrystal into large size (euhedral to anhedral) crystals, and (d) formation of euhedral crystals or polycrystalline masses, with complete loss of framboidal texture. Along this process, an increase of the concentration of Fe, S, Mn and Ti, linked to a decrease in Mg, Si, Al, As, P, Ca and V was observed. The study of the iron mineralization in the Gulf of Cadiz is a first, and can give clues to understand the complex geobiological interactions in this and other similar extreme hydrocarbon-bearing submarine ecosystems.Peer reviewe
The mystery of the 'resin-of-canuaru': A medicine used by caboclos river-dwellers of the Amazon, Amazonas, Brazil

Ethnopharmacological relevance: 'Resin-of-canuaru' is a medicine utilized by caboclos living in the Amazon Region, Brazil. There is a mystery regarding its origin because the caboclos maintain that this substance is derived only from animal secretions (from a frog called canuaru), whereas the historic literature claims that 'resin-of-canuaru' is derived solely from a plant exudate (resin). Based on our ethnographic studies, we hypothesized that this substance is a combination of both. Because the past reports on this resiniferous material in the literature are based solely on observations, we aimed to present ethnographic, zoological and chemical data to try to elucidate the origin of the 'resin-of-canuaru'.Materials and methods: Ethnographic techniques and methods were applied, including participant observation, the use of field diaries and informal and unstructured interviews. the canuaru frog (Trachycephalus resinifictrix Goeldi, 1907) and 'resin-of-canuaru' were collected for taxonomic identification and chemical analysis, respectively. the resiniferous 'resin-of-canuaru' was extracted using MeOH and then analyzed by silica gel TLC and NMR.Results: Canuaru frogs live in tree cavities and secrete a large amount of substances during spawning, resulting in a resiniferous material. NMR analysis of the MeOH extract of this crude material showed peaks assigned to 3,4-secofriedel-4(23)-en-3-oic acid (putranjuvic acid) and its methyl ester derivative (methyl putranjivate) and to biogenetic precursor of these two compounds (a lactone derivative), which is formed by the oxidation of friedelin. Based on evidence that Protium species accumulate primarily tetracyclic/pentacyclic triterpenoids and that the co-occurrence of the compounds listed above is rarely described in plant species, we suggest that these compounds could be products of the biotransformation of friedelin by the frog.Conclusions: According to our data, the 'resin-of-canuaru' seems to have both animal and vegetal origins. (C) 2012 Elsevier Ireland Ltd. All rights reserved.Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)AFIPUniversidade Federal de São Paulo UNIFESP, Ctr Ethnobot & Ethnopharmacol Studies CEE, Inst Environm Sci Chem & Pharmaceut, São Paulo, BrazilUniversidade Federal de São Paulo UNIFESP, Dept Psychobiol, São Paulo, BrazilUniversidade Federal de São Paulo UNIFESP, Ctr Ethnobot & Ethnopharmacol Studies CEE, Inst Environm Sci Chem & Pharmaceut, São Paulo, BrazilUniversidade Federal de São Paulo UNIFESP, Dept Psychobiol, São Paulo, BrazilWeb of Scienc
Role of PGE-type receptor 4 in auditory function and noise-induced hearing loss in mice.

This study explored the physiological roles of PGE-type receptor 4 (EP4) in auditory function. EP4-deficient mice exhibited slight hearing loss and a reduction of distortion-product otoacoustic emissions (DPOAEs) with loss of outer hair cells (OHCs) in cochleae. After exposure to intense noise, these mice showed significantly larger threshold shifts of auditory brain-stem responses (ABRs) and greater reductions of DPOAEs than wild-type mice. A significant increase of OHC loss was confirmed morphologically in the cochleae of EP4-deficient mice. Pharmacological inhibition of EP4 had a similar effect to genetic deletion, causing loss of both hearing and OHCs in C57BL/6 mice, indicating a critical role for EP4 signaling in the maintenance of auditory function. Pharmacological activation of EP4 significantly protected OHCs against noise trauma, and attenuated noise-induced hearing loss in C57BL/6 mice. These findings suggest that EP4 signaling is necessary for the maintenance of cochlear physiological function and for cochlear protection against noise-induced damage, in particular OHCs. EP4 might therefore be an effective target for cochlear disease therapeutics
Influence of the Axial Ligand on the Cationic Properties of the Chlorophyll Pair in Photosystem II from Thermosynechococcus vulcanus.

Influence of the axial ligand of P(D1) chlorophyll (D1-His-198) on the E(m) of monomer chlorophylls P(D1) and P(D2), and the P(D1)(•+)/P(D2)(•+) charge ratio was investigated by theoretical calculations using the PSII crystal structure of Thermosynechococcus vulcanus analyzed at 1.9-Å resolution. It was found that the E(m)(P(D1))/E(m)(P(D2)) values and P(D1)(•+)/P(D2)(•+) ratio remained unchanged upon D1-H198Q mutation. However, E(m)(P(D1)) was increased in the D1-H198A mutant, resulting in a more even distribution of the positive charge over P(D1)/P(D2). Introduction of a water molecule as an axial ligand resulted in equal E(m) values and P(D1)(•+)/P(D2)(•+) ratios between the mutant and wild-type, thus confirming the presence of the water ligand in the mutant
Precise Higgs-background predictions : merging NLO QCD and squared quark-loop corrections to four-lepton + 0,1 jet production.

We present precise predictions for four-lepton plus jets production at the LHC obtained within the fully automated Sherpa + OpenLoops framework. Off-shell intermediate vector bosons and related interferences are consistently included using the complex-mass scheme. Four-lepton plus 0- and 1-jet final states are described at NLO accuracy, and the precision of the simulation is further increased by squared quark-loop NNLO contributions in the gg → 4ℓ, gg → 4ℓ + g, gq → 4ℓ + q, and qq¯¯qq¯ → 4ℓ + g channels. These NLO and NNLO contributions are matched to the Sherpa parton shower, and the 0- and 1-jet final states are consistently merged using the Meps@Nlo technique. Thanks to Sudakov resummation, the parton shower provides improved predictions and uncertainty estimates for exclusive observables. This is important when jet vetoes or jet bins are used to separate four-lepton final states arising from Higgs decays, diboson production, and top-pair production. Detailed predictions are presented for the Atlas and Cms H → WW* analyses at 8 TeV in the 0- and 1-jet bins. Assessing renormalisation-, factorisation- and resummationscale uncertainties, which reflect also unknown subleading Sudakov logarithms in jet bins, we find that residual perturbative uncertainties are as small as a few percent
One-loop corrections to h → bb¯ and h → ττ¯ decays in the Standard Model dimension-6 EFT : four-fermion operators and the large-m t limit.

We calculate a set of one-loop corrections to h →  bb¯¯bb¯  and h →  ττ¯¯¯ττ¯  decays in the dimension-6 Standard Model effective field theory (SMEFT). In particular, working in the limit of vanishing gauge couplings, we calculate directly in the broken phase of the theory all large logarithmic corrections and in addition the finite corrections in the large-m t limit. Moreover, we give exact results for one-loop contributions from four-fermion operators. We obtain these corrections within an extension of the widely used on-shell renormalisation scheme appropriate for SMEFT calculations, and show explicitly how UV divergent bare amplitudes from a total of 21 different SMEFT operators are rendered finite within this scheme. As a by-product of the calculation, we also compute to one-loop order the logarithmically enhanced and finite large-m t corrections to muon decay in the limit of vanishing gauge couplings, which is necessary to implement the G F input parameter scheme within the SMEFT
The problem of a subjective authenticity and the articulation of belonging among the Irish in England-a psychosocial approach

This is an Accepted Manuscript of an article published by Taylor & Francis in Qualitative Research in Psychology on 2nd September 2014, available online: http://wwww.tandfonline.com/10.1080/14780887.2014.958369This article presents the question of identity and authenticity as a problematic one, capable of investigation through a psychosocial lens. “Authenticity,” as explored by Erickson (1995) and Weigert (2009), may be understood as a commitment to self-values, meaning and motivation. Feeling “true to oneself” thus becomes an intensely personal affective project, which remains theoretically the preserve of the individual subject, and thus incapable of challenge by others. However, as identity is inherently social, there is a need to interrogate the affective nature of belonging to a collective identity. In particular, I consider how this personalised sense of authenticity may come into conflict with the need to have one’s personal identity recognised as authentic within the wider set of meaning-makings around the collectivity. I argue that this problem of authenticity and belonging may arise in the interplay between the personal and the collective in three ways: reflection, recognition and ownership. Any articulation of belonging to a collective identity whilst maintaining a personally “felt” authenticity must negotiate these three aspects. In this article, I develop these ideas through my own recent research on discourses of authenticity among the Irish in England. Drawing on Wetherell’s (2012) recent articulation of the affective-discursive, I explore how one second-generation Irish woman articulates her experiences of “belonging” and personal “authenticity” in interview talk. I argue that the resolution of dilemmas around the affective and collective nature of authenticity can be usefully investigated by attending to the co-construction of the interview between participant and interviewer. The positioning of the interviewer and the power dynamics of the interview thus become key modes of enquiry in the psychosocial analysis of authenticity
Remarks on the pion-nucleon sigma-term

The pion-nucleon $\sigma$-term can be stringently constrained by the
combination of analyticity, unitarity, and crossing symmetry with
phenomenological information on the pion-nucleon scattering lengths. Recently,
lattice calculations at the physical point have been reported that find lower
values by about $3\sigma$ with respect to the phenomenological determination.
We point out that a lattice measurement of the pion-nucleon scattering lengths
could help resolve the situation by testing the values extracted from
spectroscopy measurements in pionic atoms.Comment: 5 pages, 2 figures; version published in PL
Ballistic Transport in One-Dimensional Quasi-Periodic Continuous
  Schr\"odinger Equation

For the solution $q(t)$ to the one-dimensional continuous Schr\"odinger
equation $${\rm i}\partial_t{q}(x,t)=-\partial_x^2 q(x,t) + V(\omega x) q(x,t),
\quad x\in{\Bbb R},$$ with $\omega\in{\Bbb R}^d$ satisfying a Diophantine
condition, and $V$ a real-analytic function on ${\Bbb T}^d$, we consider the
growth rate of the diffusion norm $\|q(t)\|_{D}:=\left(\int_{\Bbb
R}x^2|q(x,t)|^2dx\right)^{\frac12}$ for any non-zero initial condition $q(0)\in
H^{1}({\Bbb R})$ with $\|q(0)\|_D<\infty$. We prove that $\|q(t)\|_{D}$ grows
{\it linearly} with $t$ if $V$ is sufficiently small.Comment: 37 page
Transition from direct to sequential two-proton decay in $s$-$d$ shell
  nuclei

Transitions among different mechanisms of two-proton decay are studied in
general. The introduced improved direct-decay model generalizes the
semi-analytical models used before and provides flawless phenomenological
description of three-body correlations in $2p$ decays. This is demonstrated by
examples of the low-lying $^{16}$Ne state decays. Different forms of transition
dynamic are shown to be highly probable beyond the proton dripline for the
$s$-$d$ shell nuclei. It is demonstrated that transition dynamic of $2p$
emitters can provide means for extraction of a width of the ground-state
resonance of a core+$p$ subsystem of the core+$2p$ system. Practical
applicability of the method is demonstrated by properties of the $^{14}$F
ground state derived from the $^{15}\mbox{Ne}\rightarrow
^{\,13\!\!}\mbox{O}+2p$ decay data and of the $^{29}$Cl ground state derived
from the $^{30}\mbox{Ar}\rightarrow ^{\,28\!\!}\mbox{S}+2p$ decay data.Comment: 8 pages, 10 figure
Search for isotropic γ radiation in the cosmological window between 65 and 200 TeV

Electromagnetic energy injected into the universe above a few hundred TeV is expected to pile up as γ radiation in a relatively narrow energy interval below 100 TeV due to its interaction with the 2.7^°K background radiation. We present an upper limit (90% C.L.) on the ratio of primary γ to charged cosmic rays in the energy interval 65–160 TeV (80–200 TeV) of 10.3 • 10^−3 (7.8 • 10^−3). Data from the HEGRA cosmic-ray detector complex consisting of a wide angle Čerenkov array (AIROBICC) measuring the lateral distribution of air Čerenkov light and a scintillator array, were used with a novel method to discriminate γ-ray and hadron induced air showers. If the presently unmeasured universal far infrared background radiation is not too intense, the result rules out a topological-defect origin of ultrahigh energy cosmic rays for masses of the X particle released by the defects equal to or larger than about 10^16 GeV
Near-infrared interferometric observation of the Herbig Ae star HD 144432 with VLTI/AMBER

Copyright © ESO, 2012Aims. We study the sub-AU-scale circumstellar environment of the Herbig Ae star HD 144432 with near-infrared VLTI/AMBER observations to investigate the structure of its inner dust disk.

Methods. The interferometric observations were carried out with the AMBER instrument in the H and K band. We interpret the measured H- and K-band visibilities, the near- and mid-infrared visibilities from the literature, and the spectral energy distribution (SED) of HD 144432 by using geometric ring models and ring-shaped temperature-gradient disk models with power-law temperature distributions.

Results. We derive a K-band ring-fit radius of 0.17 ± 0.01   AU and an H-band radius of 0.18 ± 0.01   AU (for a distance of 145   pc). This measured K-band radius of  ~0.17   AU lies in the range between the dust sublimation radius of  ~0.13   AU (predicted for a dust sublimation temperature of 1500   K and gray dust) and the prediction of models including backwarming (~0.27 AU). We find that an additional extended halo component is required in both the geometric and temperature-gradient modeling. In the best-fit temperature-gradient model, the disk consists of two components. The inner part of the disk is a thin ring with an inner radius of  ~0.21   AU, a temperature of  ~1600   K, and a ring thickness  ~0.02   AU. The outer part extends from  ~1   AU to  ~10   AU with an inner temperature of  ~400   K. We find that the disk is nearly face-on with an inclination angle of  <.

Conclusions. Our temperature-gradient modeling suggests that the near-infrared excess is dominated by emission from a narrow, bright rim located at the dust sublimation radius, while an extended halo component contributes  ~6% to the total flux at 2   μm. The mid-infrared model emission has a two-component structure with  ~20% of the flux originating from the inner ring and the rest from the outer parts. This two-component structure is indicative of a disk gap, which is possibly caused by the shadow of a puffed-up inner rim
Lumped parameter models for building thermal modelling: an analytic approach to simplifying complex multi-layered constructions

PublishedJournal ArticleThere are many sophisticated building simulators capable of accurately modelling the thermal performance of buildings. Lumped Parameter Models (LPMs) are an alternative which, due to their shorter computational time, can be used where many runs are needed, for example when completing computer-based optimisation. In this paper, a new, more accurate, analytic method is presented for creating the parameters of a second order LPM, consisting of three resistors and two capacitors, that can be used to represent multi-layered constructions. The method to create this LPM is more intuitive than the alternatives in the literature and has been named the Dominant Layer Model. This new method does not require complex numerical operations, but is obtained using a simple analysis of the relative influence of the different layers within a construction on its overall dynamic behaviour. The method has been used to compare the dynamic response of four different typical constructions of varying thickness and materials as well as two more complex constructions as a proof of concept. When compared with a model that truthfully represents all layers in the construction, the new method is largely accurate and outperforms the only other model in the literature obtained with an analytical method. © 2013 Elsevier B.V