7,773 research outputs found

    Probing the Gravitational Wave Signature from Cosmic Phase Transitions at Different Scales

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    We present a new signature by which to one could potentially discriminate between a spectrum of gravitational radiation generated by a self-ordering scalar field vs that of inflation, specifically a comparison of the magnitude of a flat spectrum at frequencies probed by future direct detection experiments to the magnitude of a possible polarization signal in the Cosmic Microwave Background (CMB) radiation. In the process we clarify several issues related to the proper calculation of such modes, focusing on the effect of post-horizon-crossing evolution.Comment: 4 pages, Phys. Rev D version (revised in response to referee's comments

    The Environment for Application Software Integration and Execution (EASIE), version 1.0. Volume 2: Program integration guide

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    The Environment for Application Software Integration and Execution, EASIE, provides a methodology and a set of software utility programs to ease the task of coordinating engineering design and analysis codes. EASIE was designed to meet the needs of conceptual design engineers that face the task of integrating many stand-alone engineering analysis programs. Using EASIE, programs are integrated through a relational data base management system. In volume 2, the use of a SYSTEM LIBRARY PROCESSOR is used to construct a DATA DICTIONARY describing all relations defined in the data base, and a TEMPLATE LIBRARY. A TEMPLATE is a description of all subsets of relations (including conditional selection criteria and sorting specifications) to be accessed as input or output for a given application. Together, these form the SYSTEM LIBRARY which is used to automatically produce the data base schema, FORTRAN subroutines to retrieve/store data from/to the data base, and instructions to a generic REVIEWER program providing review/modification of data for a given template. Automation of these functions eliminates much of the tedious, error prone work required by the usual approach to data base integration

    Revising the role of the history of mathematics in post-pandemic world

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    In this short philosophical and discursive paper, the main objective is to reassess a new emergent role of the history of mathematics in order to bring about greater diversity and engagement in the mathematical sciences. The discussion is based around the project undertaken at a North London university and their partner pre-university college, which piloted the larger national project in the UK in the local context. The success of the project, it is further suggested, would greatly benefit from a framework in which the history of mathematics as a humanistic discipline is closely related to viewing mathematics as a virtuous practice. We also include a short summary about the lives and careers of two Serbian mathematicians, Judita Cofman, and Milica Ilić-Dajović, to showcase how learning about the ways in which marginalisation takes place can help students position themselves and contextualise their priorities as they enter the professional mathematics landscape

    Administrative Law

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    Do patients and family carers have different concerns about the use of medicines compared with healthcare professionals? A quantitative secondary analysis of healthcare concerns relating to adults with complex needs

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    OBJECTIVE: To identify concerns related to the use of medicines for adults with complex needs and explore whether these differed between healthcare professionals and patients/carers, in order to inform development of interventions to increase medication adherence. METHODS: A quantitative secondary analysis of a database of healthcare professionals' and patients'/carers' healthcare concerns, related to adults with complex needs. Categories of concerns related to medicines use were identified and concerns related to medication use coded against these. Data were analysed descriptively, and a Chi-square test conducted to test for differences in responses from healthcare professionals versus patients/carers. RESULTS: There was a significant difference in the types of medication concern raised by healthcare professionals versus those raised by patients/carers. Patients/carers expressed more concerns about side effects and interactions; healthcare professionals identified more concerns related to patient support and carers' knowledge/training. CONCLUSION: Healthcare professionals had significantly different concerns about medicines to patients; this may be a potential barrier to medication adherence. PRACTICE IMPLICATIONS: Healthcare professionals may need to adopt an approach to non-adherence that goes beyond education and counselling and adopts a wider patient perspective. Findings suggest that a greater focus on addressing side effects and interactions may be beneficial in increasing medication adherence

    Quantum Mechanics of the Doubled Torus

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    We investigate the quantum mechanics of the doubled torus system, introduced by Hull [1] to describe T-folds in a more geometric way. Classically, this system consists of a world-sheet Lagrangian together with some constraints, which reduce the number of degrees of freedom to the correct physical number. We consider this system from the point of view of constrained Hamiltonian dynamics. In this case the constraints are second class, and we can quantize on the constrained surface using Dirac brackets. We perform the quantization for a simple T-fold background and compare to results for the conventional non-doubled torus system. Finally, we formulate a consistent supersymmetric version of the doubled torus system, including supersymmetric constraints.Comment: 31 pages, 1 figure; v2: references added, minor corrections to final sectio

    A unified Witten-Reshetikhin-Turaev invariant for integral homology spheres

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    We construct an invariant J_M of integral homology spheres M with values in a completion \hat{Z[q]} of the polynomial ring Z[q] such that the evaluation at each root of unity \zeta gives the the SU(2) Witten-Reshetikhin-Turaev invariant \tau_\zeta(M) of M at \zeta. Thus J_M unifies all the SU(2) Witten-Reshetikhin-Turaev invariants of M. As a consequence, \tau_\zeta(M) is an algebraic integer. Moreover, it follows that \tau_\zeta(M) as a function on \zeta behaves like an ``analytic function'' defined on the set of roots of unity. That is, the \tau_\zeta(M) for all roots of unity are determined by a "Taylor expansion" at any root of unity, and also by the values at infinitely many roots of unity of prime power orders. In particular, \tau_\zeta(M) for all roots of unity are determined by the Ohtsuki series, which can be regarded as the Taylor expansion at q=1.Comment: 66 pages, 8 figure
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