1,477 research outputs found

    Zeta functions of totally ramified p-covers of the projective line

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    In this paper we prove that there exists a Zariski dense open subset U defined over the rationals Q in the space of all one-variable rational functions with arbitrary k poles of prescribed orders, such that for every geometric point f in U(Qbar)$, the L-function of the exponential sum of f at a prime p has Newton polygon approaching the Hodge polygon as p approaches infinity. As an application to algebraic geometry, we prove that the p-adic Newton polygon of the zeta function of a p-cover of the projective line totally ramified at arbitrary k points of prescribed orders has an asymptotic generic lower bound.Comment: 17 page

    Construction of some families of 2-dimensional crystalline representations

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    We construct explicitly some analytic families of etale (phi,Gamma)-modules, which give rise to analytic families of 2-dimensional crystalline representations. As an application of our constructions, we verify some conjectures of Breuil on the reduction modulo p of those representations, and extend some results (of Deligne, Edixhoven, Fontaine and Serre) on the representations arising from modular forms.Comment: 13 pages, english and french abstract

    Whether COVID-19 Infection Affects Human Cognitive Function

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    The COVID-19 pandemic, resulting from the SARS-CoV-2 virus, continues to impact the daily lives of individuals worldwide. Although research has been conducted on long-COVID symptoms, the underlying causes remain unclear. Notably, instances of neurological decline have been observed following SARS-CoV-2 infections. 125,573 articles regarding neurological damage and cognitive disfunction were published and can be found from major research databases. For this scholarly project, 25 peer-reviewed journal articles pertaining to long-COVID and neurologic function changes, as well as potential underlying reasons for these changes, were curated. The proposed hypotheses include the virus\u27 ability to pass through and harm the blood-brain barrier and neuronal cells, the release of neurochemicals associated with the SARS-CoV-2 antibody spike protein, as well as vascular ischemia, hypoxia of the brain, and other organs. Urgent attention is required to conduct further research on the treatment of chronic neurologic function changes resulting from long-COVID

    Proton NMR Spectroscopy as a Probe of Dinuclear Copper(II) Active Sites in Metalloproteins. Characterization of the Hyperactive Copper(II)-Substituted Aminopeptidase from \u3cem\u3eAeromonas proteolytica\u3c/em\u3e

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    Proton NMR spectra of the hyperactive Cu(II)-substituted aminopeptidase from Aeromonas proteolytica (AAP) were recorded in both H2O and D2O buffered solution at pH 6.7. Several remarkably sharp, well resolved hyperfine shifted 1H NMR signals were observed in the 70 to −20 ppm chemical shift range. That hyperfine shifted signals were observed is due to spin-coupling of the two Cu(II) ions. Comparison of the spectra recorded in H2O and D2O buffered solutions indicated that the signals at 44.6, 43.3, and 17.7 ppm were solvent exchangeable. The two most strongly downfield shifted signals were assigned to imidazole N−H protons of the two coordinated histidine residues, while the remaining exchangeable signal was assigned to a peptidyl N−H proton that is in close proximity to the dicopper(II) center. One-dimensional NOE studies at pH 6.7 revealed two Y−CH2−CH\u3c moieties that were assigned to coordinated aspartic acid and histidine residues. In addition, a Y−CH2−CH2−CH\u3c moiety was also identified and was assigned to the coordinated glutamic acid residue, Glu152. All of the hyperfine shifted signals for [CuCu(AAP)] sharpened and shifted toward the diamagnetic region as the temperature was increased following Curie behavior. Fits of these data and those of a series of magnetically diverse μ-phenoxo and μ-alkoxo dicopper(II) model complexes to the population distribution of the ground and first excited states, provided information on the magnetic properties of dicopper(II) clusters. These fits indicated that the two Cu(II) ions in AAP are ferromagnetically coupled with a 2J value of 50 + 40 cm-1. These data provide the first structural information regarding the hyperactive [CuCu(AAP)] enzyme and are discussed in terms of the previously proposed mechanism of action for AAP

    A Multiple-Case Study: The Deployment of Allied Educators (Learning and Behavioural Support) in Singapore Mainstream Primary Schools

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    Despite the growth of international research on paraeducator deployment, the understanding of its working in Singapore remains nascent. This study seeks to address the limited knowledge of paraeducator deployment in Singapore by examining how Allied Educator (Learning and Behavioural Support) [AED(LBS)] spend their time in school, how they work with the school community of teachers and school leaders, and the factors that affect the process of working together using Wenger’s (1998) community of practice framework. This study adopted a multiple case-study design with two phases. Phase One employed a survey questionnaire to determine how AEDs(LBS) spend their time in school. Its findings provided an objective understanding of the AED(LBS) role which is currently lacking in the literature. Its findings also assisted in the shortlisting of cases for Phase Two of the multiple-case study i.e. the interviews. Phase Two consisted of a multiple-case study involving in-depth interviews with AEDs(LBS), teachers and school leaders to understand how AEDs(LBS) worked with the school community. Both phases were piloted to refine the tools used in the main study. Data collected was analysed using the thematic analysis approach. Findings revealed that AEDs(LBS) had an intangible impact on their school community in the form of voice and visibility. Voice enabled AEDs(LBS) to express their participation, proficiency, initiative or confidence while visibility enabled colleagues to see their role-related participation, through their physical presence and the products of their participation. AEDs(LBS) who demonstrated voice and visibility, gained the trust of the school community and were better able to influence the school community to take ownership of students with SEN. Leadership and AED(LBS) factors were found to influence voice and visibility. Crucially, the study found that AEDs’(LBS) voice and visibility can be influenced to improve partnership outcomes in school. The findings encourage a reimagination of the paraeducator role as an agent of change who can influence the school community to assume a shared responsibility in SEN

    International students' perspectives of Malaysian English teachers' spoken English

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    Numerous studies comparing native and non-native English teachers have found that ESL students prefer native teachers for teaching speaking skills and pronunciation. In other words, non-native teachers are viewed as less superior in matters related to spoken language. This study explores international students' views on spoken English of Malaysian teachers in English language classrooms. 81 international students who were attending English language classes as a preparation for university programmes at a Malaysian university participated in the study. The students were given a short writing task which required them to rate as well as stated their views on their Malaysian teachers' spoken English in terms of speech rate, pronunciation, vocabulary, syntax, intelligibility, nativeness and acceptability for global communication. The study found that the international students considered the variety of Malaysian English used in the classroom as highly intelligible with high ratings for speech rates, vocabulary and sentence structures. Malaysian English is also viewed as highly acceptable for global communication. Although the teachers' spoken language was rated lower for pronunciation and nativeness compared to other traits confirming the views that non-native teachers are perceived as less proficient in pronunciation compared to the other skills, the ratings were still high indicating that in general, the acrolectal variety of Malaysian English as spoken in English classes is reasonably well accepted by other non-native speakers. © 2018, IJAL

    Humanoid Robot With Imitation Ability

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    Resonant inelastic X-ray scattering study of overdoped La2x_{2-x}Srx_{x}CuO4_{4}

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    Resonant inelastic x-ray scattering (RIXS) at the copper K absorption edge has been performed for heavily overdoped samples of La2x_{2-x}Srx_{x}CuO4_{4} with x=0.25x= 0.25 and 0.30. We have observed the charge transfer and molecular-orbital excitations which exhibit resonances at incident energies of Ei=8.992E_i= 8.992 and 8.998 keV, respectively. From a comparison with previous results on undoped and optimally-doped samples, we determine that the charge-transfer excitation energy increases monotonically as doping increases. In addition, the EiE_i-dependences of the RIXS spectral weight and absorption spectrum exhibit no clear peak at Ei=8.998E_i = 8.998 keV in contrast to results in the underdoped samples. The low-energy (3\leq 3 eV) continuum excitation intensity has been studied utilizing the high energy resolution of 0.13 eV (FWHM). A comparison of the RIXS profiles at (π 0)(\pi ~0) and (π π)(\pi ~\pi) indicates that the continuum intensity exists even at (π π)(\pi ~\pi) in the overdoped samples, whereas it has been reported only at (0 0)(0 ~0) and (π 0)(\pi ~0) for the x=0.17x=0.17 sample. Furthermore, we also found an additional excitation on top of the continuum intensity at the (π π)(\pi ~\pi) and (π 0)(\pi ~0) positions.Comment: 7 pages, 7 figure
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