1,125 research outputs found

    On the full automorphism group of a Hamiltonian cycle system of odd order

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    It is shown that a necessary condition for an abstract group G to be the full automorphism group of a Hamiltonian cycle system is that G has odd order or it is either binary, or the affine linear group AGL(1; p) with p prime. We show that this condition is also sufficient except possibly for the class of non-solvable binary groups.Comment: 11 pages, 2 figure

    Imprinting a topological interface using Zeeman shifts in an atomic spinor Boseā€“Einstein condensate

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    We propose to use spatial control of the Zeeman energy shifts in an ultracold atomic gas to engineer an interface between topologically distinct regions. This provides an experimentally accessible means for studying the interface physics of topological defects and textures. Using the spin-1 Boseā€“Einstein condensate as an example, we find spinor wave functions that represent defects and textures continuously connecting across the interface between polar and ferromagnetic regions induced by spatially varying Zeeman shifts. By numerical energy-minimization we characterize the defect core structures and determine the energetic stability. The techniques proposed could potentially be used in the laboratory to emulate complex interface physics arising, e.g., in cosmological and condensed-matter contexts in both uniform and lattice systems

    Concept Mapping to Define Components for an Occupation-Based Intervention for Parkinsonā€™s Disease and Anxiety

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    Background: Anxiety, a common symptom of Parkinsonā€™s disease (PD), results in reduced life quality, reduced participation in meaningful roles and daily activities, and increased health burden. There are no evidence-based interventions to reduce the impact of anxiety in PD on participation. Objective: This study aimed to identify the key components required for the co-production of an occupation- and community-based intervention for people with PD-related anxiety. Methods: A participatory mixed-methods research study was conducted using online Group Concept Mapping methodology that included five stages: brainstorming, idea synthesis, sorting activity, rating activity, and analysis. A cluster map, pattern match, and ā€˜go-zoneā€™ charts were created through multivariate statistical analysis based on participantsā€™ responses. The stages were guided by questions generated by the research team working with stakeholders. Results: Eighty-three people participated, with 64 taking part in more than one activity. Participants included people with PD (nā€Š=ā€Š72), care partners (nā€Š=ā€Š6), and occupational therapists (nā€Š=ā€Š5). The final map contained 119 statements with eight clusters (stress value 0.252): exercise, lifestyle changes, self-help, coping, access to information, professional help, peers and groups, support from others. Significant agreement existed between the importance and feasibility rating activities (rā€Š=ā€Šā€“0.07). ā€˜Go-zoneā€™ charts highlighted the priority statements for intervention development. Conclusions: This novel participatory study highlighted priority components that provide starting points for future development of an occupation- and community-based intervention for people with PD-related anxiety.</jats:p

    Service evaluation of an acute Parkinson's therapy pathway between hospital and home

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    Background People with Parkinson's disease report that inpatient hospital environments do not replicate their home setup. A therapy pathway was developed integrating early home-based assessment, therapy sessions with photographs of key home areas, enhanced communication with community services, and staggered discharge. Methods Outcome measures (length of stay and readmissions within 14 days) in people with Parkinson's disease on the therapy pathway (n=5) were compared to those previously receiving standard care (n=5). Results Mean length of stay was 7.2 days shorter in the intervention group and their discharge Lindop Parkinson's mobility scale score was 39.4% higher. No difference was found in the Modified Barthel Index between the groups. Both groups had the same readmission rates. The pathway was accepted by both people with Parkinson's disease and clinicians. Conclusions The pathway reduced hospital length of stay and increased mobility in patients with Parkinson's disease. It was accepted by patients and clinicians and was feasible to integrate into current practice. The pathway warrants further evaluation
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