On a Watson-like Uniqueness Theorem and Gevrey Expansions

We present a maximal class of analytic functions, elements of which are in one-to-one correspondence with their asymptotic expansions. In recent decades it has been realized (B. Malgrange, J. Ecalle, J.-P. Ramis, Y. Sibuya et al.), that the formal power series solutions of a wide range of systems of ordinary (even non-linear) analytic differential equations are in fact the Gevrey expansions for the regular solutions. Watson's uniqueness theorem belongs to the foundations of this new theory. This paper contains a discussion of an extension of Watson's uniqueness theorem for classes of functions which admit a Gevrey expansion in angular regions of the complex plane with opening less than or equal to (\frac \pi k,) where (k) is the order of the Gevrey expansion. We present conditions which ensure uniqueness and which suggest an extension of Watson's representation theorem. These results may be applied for solutions of certain classes of differential equations to obtain the best accuracy estimate for the deviation of a solution from a finite sum of the corresponding Gevrey expansion.Comment: 18 pages, 4 figure

Efectos en la percepción del clima motivacional generado por los entrenadores y compañeros sobre la diversión y el compromiso : diferencias en función de género

En el presente trabajo se describe la percepción del clima motivacional generado por el entrenador y por los compañeros en una muestra de deportistas jóvenes y se analizan las diferencias en función del género así como el efecto de los climas motivacionales en la diversión y el compromiso. 121 deportistas cadetes (39 chicas y 82 chicos) completaron las versiones españolas de los instrumentos de clima motivacional promovido por el entrenador, clima motivacional promovido por los compañeros y compromiso deportivo. Los resultados muestran que las chicas perciben climas motivacionales de implicación a la tarea significativamente más altos y de implicación al ego significativamente más bajos que los chicos tanto en el caso del generado por el entrenador como en el caso de los generados por los compañeros. Las deportistas se divierten significativamente más y están igualmente comprometidas con la práctica deportiva que los chicos. El principal predictor del compromiso es la generación de un clima de implicación a la tarea por parte de entrenadores y compañeros. En consecuencia cabría recomendar que los programas de intervención hagan especial hincapié en la generación de climas motivacionales de implicación a la tareaThis study describes the perception of the motivational climate created by coaches and teammates in a sample of young athletes; gender differences and the effect of motivational climates on enjoyment and commitment were analysed. 121 athletes with a mean age of 14.39 years (Mage= 14.39; SD= .96, 39 girls and 82 boys) completed the Spanish versions of the motivational climate instruments promoted by the coach, motivational climate promoted by teammates and commitment to sport. The results showed that girls perceived a significantly higher motivational climate related to task involvement and a significantly lower ego involvement than boys both in the case of the climate created by the coach as well as the climate created by teammates. Female athletes enjoyed themselves significantly more and were also significantly more committed to sports than boys. The main predictor of commitment was the creation of a climate of task involvement by coaches and teammates. As a result, it would be advisable for intervention programmes to lay particularly emphasis on creating motivational climates related to task involvemen

Oropharyngeal botryomycosis in a geriatric mare

Botryomycosis is an uncommon chronic bacterial infection that can have cutaneous and visceral involvement. This report describes an 18‐year‐old mixed‐breed mare presented with dysphagia, dyspnoea and an upper respiratory noise that developed secondary to oropharyngeal botryomycosis. Histological examination of the mass showed a granulomatous formation with Splendore–Hoeppli phenomenon surrounding Gram‐positive bacteria. This report describes the clinical signs, approach and management of an oropharyngeal Staphylococcus aureus granuloma in a geriatric mare.info:eu-repo/semantics/acceptedVersio

Ignition conditions for inertial confinement fusion targets with a nuclear spin-polarized DT fuel

The nuclear fusion cross-section is modified when the spins of the interacting nuclei are polarized. In the case of deuterium?tritium it has been theoretically predicted that the nuclear fusion cross-section could be increased by a factor d = 1.5 if all the nuclei were polarized. In inertial confinement fusion this would result in a modification of the required ignition conditions. Using numerical simulations it is found that the required hot-spot temperature and areal density can both be reduced by about 15% for a fully polarized nuclear fuel. Moreover, numerical simulations of a directly driven capsule show that the required laser power and energy to achieve a high gain scale as d-0.6 and d-0.4 respectively, while the maximum achievable energy gain scales as d0.9

Looking Towards 2030: Strengthening the Environmental Health in Childhood-Adolescent Cancer Survivor Programs

Childhood and adolescent cancer survivors (CACS) are a high-risk population for non-communicable diseases and secondary carcinogenesis. The Environmental and Community Health Program for Longitudinal Follow-up of CACS in the region of Murcia, Spain, is an ongoing pioneering program that constitutes a model for social innovation. This study aims to present the program tools and protocol as a whole, as well as a profile of the incidence, survival, and spatiotemporal distribution of childhood cancer in the region of Murcia, Spain, using 822 sample cases of cancer diagnosed in children under 15 years of age (1998-2020). While the crude incidence rate across that entire period was 149.6 per 1 million, there was an increase over that time in the incidence. The areas with a higher standardized incidence ratio have shifted from the northwest (1998-2003) to the southeast (2016-2020) region. Overall, the ten-year survival rate for all tumor types was 80.1% over the entire period, increasing the five-year survival rate from 76.1 (1998-2003) to 85.5 (2014-2018). CACS living in areas with very poor outdoor air quality had lower survival rates. Furthermore, integrating environmental health into clinical practice could improve knowledge of the etiology and prognosis, as well as the outcomes of CACS. Finally, monitoring individual carbon footprints and creating healthier lifestyles, alongside healthier environments for CACS, could promote wellbeing, environmental awareness, and empowerment in order to attain Sustainable Development Goals for non-communicable diseases in this population.This research was supported by the Environment, Survival and Childhood Cancer Project, Spanish Federation of Parents of Children with Cancer (FFIS-CCE-2019-11); Environmental Health Profile for Children Project funded by Sociedad Pediatria Sureste Esp. (FFIS-DF-2022-36); the International Network of Environment, Survival and Childhood Cancer (ENSUCHICA) in Europe and Latin America (FFIS EU17-01-01); Fundación Científica de la AECC (MACAPE-2004); Medio Ambiente Cáncer Pediátrica en la Región De Murcia (MACAPEMUR-2009 ~FFIS/EMER09/15); the Mount Sinai International Exchange Program for Minority Students funded by the National Institute of Minority Health and Health Disparities (T37 MD001452); and the International Training and Research Program in Environmental and Occupational Health funded by the Fogarty International Center, United States (TW00640). The funders had no role in the completion of the research project, the writing of the manuscript for publication, or the decision to publish the results.S

Cauchy's infinitesimals, his sum theorem, and foundational paradigms

Cauchy's sum theorem is a prototype of what is today a basic result on the convergence of a series of functions in undergraduate analysis. We seek to interpret Cauchy's proof, and discuss the related epistemological questions involved in comparing distinct interpretive paradigms. Cauchy's proof is often interpreted in the modern framework of a Weierstrassian paradigm. We analyze Cauchy's proof closely and show that it finds closer proxies in a different modern framework. Keywords: Cauchy's infinitesimal; sum theorem; quantifier alternation; uniform convergence; foundational paradigms.Comment: 42 pages; to appear in Foundations of Scienc

Plasma Apolipoprotein CI and CIII Levels Are Associated With Increased Plasma Triglyceride Levels and Decreased Fat Mass in Men With the Metabolic Syndrome

OBJECTIVE—To determine whether, in accordance with observations in mouse models, high concentrations of the lipoprotein lipase inhibitors apolipoprotein (Apo) CI and ApoCIII are associated with increased triglyceride concentrations and decreased fat mass in men with the metabolic syndrome

Plasma Apolipoprotein CI and CIII Levels Are Associated With Increased Plasma Triglyceride Levels and Decreased Fat Mass in Men With the Metabolic Syndrome

OBJECTIVE—To determine whether, in accordance with observations in mouse models, high concentrations of the lipoprotein lipase inhibitors apolipoprotein (Apo) CI and ApoCIII are associated with increased triglyceride concentrations and decreased fat mass in men with the metabolic syndrome