Transfer factors for Jacquet-Mao's metaplectic fundamental lemma

In an earlier paper we proved Jacquet-Mao's metaplectic fundamental lemma which is the identity between two orbital integrals (one is defined on the space of symmetric matrices and another one is defined on the $2$-fold cover of the general linear group) corrected by a transfer factor. But we restricted to the case where the relevant representative is a diagonal matrix. Now, we show that we can extend this result for the more general relevant representative. Our proof is based on the concept of Shalika germs for certain Kloosterman integrals

A brief review of mathematical foundation for analyzing topological characteristics of quantum electronic states and matter phases

We briefly review the advanced mathematical language of fiber bundle structures and how they can be used to classify two-level quantum systems based on the analysis of the topological properties of their sets of state vectors. The topological classes of quantum electronic states and matter phases are characterized by topological invariants, which can be defined geometrically as the integral of differential forms on the base manifold of the fiber bundle structure. Specifically, we demonstrate that for one-dimensional systems described by the Su-Schrieffer-Heeger (SSH) model, the set of state vectors does not always have a fiber bundle structure directly on the Brillouin zone. To classify the SSH systems, we use a technique based on the concept of composite maps to decompose the set of electronic state vectors. As a result, the SSH systems are classified based on the geometrical properties of principal fiber bundles with different base manifolds

Supporting the Mobile In-situ Authoring of Locative Media in Rural Places: Design and Expert Evaluation of the SMAT app

Providing users with carefully authored Locative media experiences (which can be consumed via their GPS equipped smartphones or tablets) has significant potential for fostering a strong engagement with their current surroundings. However, the availability of mobile tools to support the authoring of locative media experiences in-situ, and by non-technical users, remains scarce. In this article we present the design and field-trial expert evaluation of a mobile app developed under the SHARC project (Investigating Technology Support for the Shared Curation of Local History in a Rural Community). The app is named SMAT (SHARC Mobile Authoring Tool) and supports the authoring of Locative Media experiences with a focus on the creation of POIs (Points of Interest) and associated geo-fences which trigger the pushed delivery of media items such as photos, audio clips, etc. One important requirement of SMAT is the ability to support authoring in places where connectivity is intermittent or unavailable, e.g. many rural areas

The universal order one invariant of framed knots in most S^1-bundles over orientable surfaces

It is well-known that self-linking is the only Z valued Vassiliev invariant of framed knots in S^3. However for most 3-manifolds, in particular for the total spaces of S^1-bundles over an orientable surface F not S^2, the space of Z-valued order one invariants is infinite dimensional. We give an explicit formula for the order one invariant I of framed knots in orientable total spaces of S^1-bundles over an orientable not necessarily compact surface F not S^2. We show that if F is not S^2 or S^1 X S^1, then I is the universal order one invariant, i.e. it distinguishes every two framed knots that can be distinguished by order one invariants with values in an Abelian group.Comment: Published by Algebraic and Geometric Topology at http://www.maths.warwick.ac.uk/agt/AGTVol3/agt-3-3.abs.htm

Pediatric Resuscitation: Evaluation of a Clinical Curriculum

Objective: To assess the impact of a 6-hour pediatric resuscitation curriculum on the comfort levels of resident physicians’ evaluation and treatment of critically ill pediatric patients. Methods: An evaluation instrument assessed resident comfort levels, measured on a seven digit Likert scale ranging from significantly uncomfortable to significantly comfortable, in 13 areas of pediatric resuscitation. To complete the curriculum, residents had to demonstrate proficiency in knowledge and procedural skills during mock resuscitation scenarios and on both written and oral examinations. Results: Thirty-one residents participated in the study: 51.6% were pediatric, 12.9% were medicine/pediatric and 35.5% were emergency medicine residents. Participants in the curriculum had little previous experience with pediatric resuscitation (83% had been involved in five or fewer pediatric resuscitations). In all 13 areas of pediatric resuscitation tested, residents reported improvement in comfort levels following the course (p<0.002; Wilcoxon Signed Rank Tests). The most significant changes were observed for the following items: resuscitation of pulseless arrest, performance of cardioversion and defibrillation, performance of intraosseous needle insertion, and drug selection and dosing for rapid sequence intubation. Fewer than 48% of learners rated themselves as comfortable in these areas prior to training, but after completion, more than 80% rated themselves in the comfortable range. All residents but one received passing scores on their written examinations (97%). During the mock resuscitation scenarios and oral examination, 100% of the residents were assessed to have ‘completely’ met the learning objectives and critical actions Conclusion: Implementation of a pediatric resuscitation curriculum improves pediatric and emergency medicine residents’ comfort with the evaluation and treatment of critically ill pediatric patients. This curriculum can be used in residency training to document the acquisition of core competencies, knowledge and procedural skills needed for the evaluation and treatment of the critically ill child. The results reported in this study support using this model of instructional design to implement educational strategies, which will meet the requirements of graduate education