On multidegree of tame and wild automorphisms of C^3

In this note we show that the set mdeg(Aut(C^3)) mdeg(Tame(C^3)) is not empty. Moreover we show that this set has infinitely many elements. Since for the famous Nagata's example N of wild automorphism, mdeg N =(5,3,1) is an element of mdeg(Tame(C^3)) and since for other known examples of wild automorphisms the multidegree is of the form (1,d_2,d_3) (after permutation if neccesary), then we give the very first exmple of wild automorphism F of C^3 such that mdeg F does not belong to mdeg(Tame(C^3)). We also show that, if d_1,d_2 are odd numbers such that gcd (d_1,d_2) =1, then (d_1,d_2,d_3) belongs to mdeg(Tame(C^3)) if and only if d_3 is a linear combination of d_1,d_2 with natural coefficients. This a crucial fact that we use in the proof of the main result

Referral thresholds for an integrated learning disability eye care pathway: a consensus approach

Introduction Local Optometric Support Unit (LOCSU) have published their refreshed clinical pathway for eye care for people with a learning disability. The document sets out the adjustments to practice that a community optometrist might make in order to provide optimal care for a person with learning disability attending a primary eye care assessment. The pathway specifically points to the need to retain patients in primary care where appropriate and ‘reduce the number of people with learning disability who are inappropriately referred into the Hospital Eye Service (HES).’ Pivotal to this refreshed pathway is the integration with secondary care, with local arrangements to facilitate referral and hospital management where appropriate. There are few ophthalmologists nationally who frequently encounter patients with a learning disability in their hospital practice and knowing where to start when creating referral criteria or KPIs may create a barrier to services becoming established. In order to address this gap in experience, we set about developing a set of consensus statements regarding referral thresholds for ocular conditions commonly encountered in adults with learning disability. Method A series of video interviews were undertaken with eye health professionals with a range of experience in eye care for people with learning disability. Each contributor commented on the usability and clarity of each element of the referral criteria. In addition, each contributor was asked to express the overriding principles by which they make decisions regarding referral thresholds for patients with learning disability. These were collated into the final document which was circulated and agreed by all participants. Results A table setting out referral thresholds for commonly encountered eye conditions in adults with learning disabilities is presented. Conclusion We have presented a succinct set of consensus statements relating referral thresholds for common presentations of visual problems in adults with learning disability in the UK distilled from the collective experience of a group of eye health professionals. The intention was not to present a comprehensive review of management of each condition. Rather, the consensus statements may form the starting point from which each area could develop locally agreed criteria, as is suggested by the LOCSU pathway guidance

Continuing professional development requirements for UK health professionals: a scoping review

Abstract Objectives This paper sets out to establish the numbers and titles of regulated healthcare professionals in the UK and uses a review of how continuing professional development (CPD) for health professionals is described internationally to characterise the postqualification training required of UK professions by their regulators. It compares these standards across the professions and considers them against the best practice evidence and current definitions of CPD. Design A scoping review. Search strategy We conducted a search of UK health and social care regulators’ websites to establish a list of regulated professional titles, obtain numbers of registrants and identify documents detailing CPD policy. We searched Applied Social Sciences Index and Abstracs (ASSIA), Cumulative Index to Nursing and Allied Health Literature (CINAHL), Medline, EMCare and Scopus Life Sciences, Health Sciences, Physical Sciences and Social Sciences & Humanities databases to identify a list of common features used to describe CPD systems internationally and these were used to organise the review of CPD requirements for each profession. Results CPD is now mandatory for the approximately 1.5 million individuals registered to work under 32 regulated titles in the UK. Eight of the nine regulators do not mandate modes of CPD and there is little requirement to conduct interprofessional CPD. Overall 81% of those registered are required to engage in some form of reflection on their learning but only 35% are required to use a personal development plan while 26% have no requirement to engage in peer-to-peer learning. Conclusions Our review highlights the wide variation in the required characteristics of CPD being undertaken by UK health professionals and raises the possibility that CPD schemes are not fully incorporating the best practice

Findings from an opt-in eye examination service in English special schools. Is vision screening effective for this population?

Our objective was to present the findings of an opt-in, school-based eye care service for children attending 11 special schools in England and use these findings to determine whether a vision screening programme would be appropriate for this population. Data from eye examinations provided to 949 pupils (mean age 10.7 years) was analysed to determine the prevalence and aetiology of visual deficiencies and reported eye care history. For 46.2% (n = 438) of pupils, a visual deficiency was recorded. 12.5% of all the children seen (n = 119) had a visual deficiency that was previously undiagnosed. Referral for a medical opinion was made for 3.1% (n = 29) of pupils seen by the service. Spectacle correction was needed for 31.5% (n = 299) of pupils; for 12.9% (122) these were prescribed for the first time. 3.7% (n = 11) of parents/carers of pupils needing spectacles chose not to use the spectacle dispensing service offered in school. Eye care history was available for 847 pupils (89.3%). Of the pupils for whom an eye care history was available, 44% (n = 373) reported no history of any previous eye care and10.7% (n = 91) reported a history of attending a community optical practice/opticians. Only one pupil from the school entry 4–5 age group (0.6% of age group n = 156) would have passed vision screening using current Public Health England screening guidelines. Children with a diagnosis of autism were significantly less likely to be able to provide a reliable measurement of visual acuity. This study supports previously published evidence of a very high prevalence of visual problems in children with the most complex needs and a significant unmet need in this group. It demonstrates routine school entry vision screening using current Public Health England guidelines is not appropriate for this group of children and very low uptake of community primary eye care services

An analysis of glaucoma repeat measures assessment results: Are core competencies enough?

Purpose: The need to validate core competency skills in qualified optometrists wishing to take part in extended roles in glaucoma care has been questioned. This analysis examines the ability of qualified optometrists to perform relevant core competency skills under standardised objective assessment conditions to explore whether such validation is justified. It also investigates if there are associations between performance, gender and length of time since qualification. Methods: Anonymised data from the Cardiff University assessment programme for the Wales Optometry Postgraduate Education Centre (WOPEC) Local Optical Committee Support Unit glaucoma referral filtering and monitoring pathway delivered between January 2017 and March 2020 were analysed. Results were combined with demographic data from the General Optical Council register of optometrists in the UK to investigate associations between performance and practitioner characteristics, namely length of time since qualification and gender. Results: The assessment results of 2215 optometrists practising in England (approximately 15% of all UK registered optometrists and 30% of all optometrists registered in England) were analysed. Failure rates for first time assessment in each of five objective structured clinical examination style practical assessments were 8.5% (van Herick); 8.8% (slit lamp binocular indirect ophthalmoscopy); 10.1% (Goldmann applanation tonometry calibration); 21.9% (Goldmann applanation tonometry) and 23.3% (case scenario interpretation and management). There were either no associations or at most very weak associations between performance and practitioner characteristics. Conclusions: Our results suggest that these competencies are not universally present in optometrists practising in England and that ongoing training and assessment of these competencies is justified for entry into extended roles. There are no meaningful associations between performance in these assessments and gender or time since qualification

DISTINGUISHING BETWEEN SPOT AND TORUS MODELS OF HIGH-FREQUENCY QUASIPERIODIC OSCILLATIONS

In the context of high-frequency quasi-periodic oscillation (HF QPOs) we further explore the appearance of an observable signal generated by hot spots moving along quasi-elliptic trajectories close to the innermost stable circular orbit in the Schwarzschild spacetime. The aim of our investigation is to reveal whether observable characteristics of the Fourier power-spectral density can help us to distinguish between the two competing models, namely, the idea of bright spots orbiting on the surface of an accretion torus versus the scenario of intrinsic oscillations of the torus itself. We take the capabilities of the present observatories (represented by the Rossi X-ray Timing Explorer, RXTE) into account, and we also consider the proposed future instruments (represented here by the Large Observatory for X-ray Timing, LOFT)

The role of lived experience eye care champions in improving awareness and access to eye care services for people with learning disabilities and/or autism

Background: Documented inequalities in access to eye care for people with learning disabilities and/or autism are caused by poor uptake of primary eye care services, poor identification of eye problems, lack of signposting and reasonable adjustments of existing services, concerns about costs of care and the low priority historically given to these issues in eye care policy at a regional and national level. In 2019, the charity SeeAbility employed four eye care champions (ECCs) with lived experience of learning disability and/or autism to work in local communities in London and the Northwest of England. They provided peer-to-peer support on understanding the need for good eye health and engaged with policy makers, and learning disability, autism and eye care professionals at the local, regional and national levels to influence both the clinical practice of individual practitioners (within existing service/pathway models) and more widely to influence the commissioning of the Easy Eye Care pathway. This study explores the experiences of these ECCs. Methods: The study was conducted in April and May 2023. A case study approach was used to describe the experiences of the ECCs from March 2019 to March 2023. Data from structured interviews with the four ECCs and workload analysis were triangulated to provide a multifaceted understanding of this novel health promotion project. Findings: The ECCs found the role useful and reported that confidence in their practice and impact grew with time but they required ongoing support in the role. A good understanding of the promotional messages was reported. Developing a good network of contacts at an early stage, both people with learning disabilities and healthcare professionals, was key. Relationships with professionals were supportive and positive and a positive emotive response to their lived experience was reported in these interactions. Conclusions: From the perspective of the ECCs, the role is useful and beneficial. The work suggests some key recommendations for future development which include planning to build networks, support in presentation and communications skills and defining key messages and knowledge. Confidence of the ECCs builds with time in the role but also needs support the emotive impact of their lived experiences on audiences is highlighted. There is a need to evaluate how the programme is perceived by those who interact with it and how it changes behaviours which leads to better health outcomes

Time delay measurement of Mg II line in CTS C30.10 with SALT

We report 6 yr monitoring of a distant bright quasar CTS C30.10 (z = 0.90052) with the Southern African Large Telescope (SALT). We measured the rest-frame time-lag of $562\pm 2$ days between the continuum variations and the response of the Mg II emission line, using the Javelin approach. More conservative approach, based on five different methods, imply the time delay of $564^{+109}_{-71}$ days. This time delay, combined with other available measurements of Mg II line delay, mostly for lower redshift sources, shows that the Mg II line reverberation implies a radius-luminosity relation very similar to the one based on a more frequently studied H$\beta$ line.Comment: submitted to ApJ; comments welcom

Comparison of czech insurance market with british insurance market

Předmětem bakalářské práce „Srovnání české pojistného trhu s britským pojistným trhem“ je zkoumání a teoretický opis pojistného trhu České republiky a pojistného trhu Spojeného království a jejich následné praktické srovnání za využití zejména ukazatelů úrovně pojistných trhů. Do své práce jsem si vybral britský pojistný trh, protože je dlouhodobým gigantem na světových finančních trzích a také kvůli legislativním změnám, týkajících se regulace a dohledu, kterými prošel po nedávném Brexitu. Český pojistný trh byl předepsanou součástí práce. Úvodem, v teoretické části autor obeznámí čtenáře s pojmem pojistný trh a budou popsána specifika jednotlivých pojistných trhů. Základem empirické části práce bude statistické srovnání a analýza českého a britského pojistného trhu. Závěrem bude provedeno zhodnocení analýzy domácího a zahraničního pojistného trhu.The subject of the bachelor's thesis "Comparison of the Czech insurance market with the British market" is an investigation and theoretical description of the insurance market of the Czech Republic and the insurance market of the United Kingdom and their subsequent practical comparison using indicators of the level of insurance markets. I chose the UK insurance market for my work because it has long been a giant in the global financial markets and because of the legislative oversight, particularly related to regulation and supervision, which it has undergone after the recent Brexit. At the beginning, in the theoretical part, the author introduces the reader to the term insurance market and the specifics of individual insurance markets will be described. The basis of the empirical part of the work will be a statistical comparison and analysis of the Czech and British insurance market. In conclusion, a foreign evaluation of the analysis of the domestic and insurance market will be carried out