Kunz languages for numerical semigroups are context sensitive

There is a one-to-one and onto correspondence between the class of numerical semigroups of depth $n$, where $n$ is an integer, and a certain language over the alphabet $\{1,\ldots,n\}$ which call Kunz language of depth $n$. The Kunz language associated with the numerical semigroups of depth $2$ is the regular language $\{1,2\}^*2\{1,2\}^*$. We prove that Kunz languages associated with numerical semigroups of larger depth are context-sensitive but not context-free.Comment: 11 page

Multidimensional Optical Sensing and Imaging Systems (MOSIS): From Macro to Micro Scales

Multidimensional optical imaging systems for information processing and visualization technologies have numerous applications in fields such as manufacturing, medical sciences, entertainment, robotics, surveillance, and defense. Among different three-dimensional (3-D) imaging methods, integral imaging is a promising multiperspective sensing and display technique. Compared with other 3-D imaging techniques, integral imaging can capture a scene using an incoherent light source and generate real 3-D images for observation without any special viewing devices. This review paper describes passive multidimensional imaging systems combined with different integral imaging configurations. One example is the integral-imaging-based multidimensional optical sensing and imaging systems (MOSIS), which can be used for 3-D visualization, seeing through obscurations, material inspection, and object recognition from microscales to long range imaging. This system utilizes many degrees of freedom such as time and space multiplexing, depth information, polarimetric, temporal, photon flux and multispectral information based on integral imaging to record and reconstruct the multidimensionally integrated scene. Image fusion may be used to integrate the multidimensional images obtained by polarimetric sensors, multispectral cameras, and various multiplexing techniques. The multidimensional images contain substantially more information compared with two-dimensional (2-D) images or conventional 3-D images. In addition, we present recent progress and applications of 3-D integral imaging including human gesture recognition in the time domain, depth estimation, mid-wave-infrared photon counting, 3-D polarimetric imaging for object shape and material identification, dynamic integral imaging implemented with liquid-crystal devices, and 3-D endoscopy for healthcare applications.B. Javidi wishes to acknowledge support by the National Science Foundation (NSF) under Grant NSF/IIS-1422179, and DARPA and US Army under contract number W911NF-13-1-0485. The work of P. Latorre Carmona, A. Martínez-Uso, J. M. Sotoca and F. Pla was supported by the Spanish Ministry of Economy under the project ESP2013-48458-C4-3-P, and by MICINN under the project MTM2013-48371-C2-2-PDGI, by Generalitat Valenciana under the project PROMETEO-II/2014/062, and by Universitat Jaume I through project P11B2014-09. The work of M. Martínez-Corral and G. Saavedra was supported by the Spanish Ministry of Economy and Competitiveness under the grant DPI2015-66458-C2-1R, and by the Generalitat Valenciana, Spain under the project PROMETEOII/2014/072

One-year quality of life among post-hospitalization COVID-19 patients

IntroductionThe long-term effects of SARS-CoV-2 are unclear, as are the factors influencing the evolution. Objective: to assess health-related quality of life 1 year after a hospital admission due to COVID-19 and to identify factors that may influence it.Materials and methodsRetrospective observational study in a tertiary hospital from March 2021 to February 2022. Inclusion criteria: ≥18 years old and admitted for SARS-CoV-2 infection. Exclusion criteria: death, not located, refusal to participate, cognitive impairment, and language barrier. Variables: demographic data, medical history, clinical and analytical outcomes during hospital admission, treatment received, and vaccination against SARS-CoV-2 following admission. Participants were interviewed by phone 1 year after admission, using the SF-36 quality of life questionnaire.ResultsThere were 486 included patients. The domains yielding the lowest scores were general health (median 65%, interquartile range [IQR] 45–80), vitality (median 65%, IQR 45–80), and mental health (median 73.5%, IQR 60–100). Multivariable analysis showed that female sex and fibromyalgia/fatigue had a negative influence on all domains. Obesity was associated with worse outcomes in physical functioning, physical role, bodily pain, and vitality. Other factors associated with worse scores were an older age in physical functioning and high age-adjusted Charslon comorbidity in physical functioning and general health. Age was associated with better results in emotional role and High C-reactive protein at admission on vitality.ConclusionOne year after admission for COVID-19, quality of life remains affected, especially the domains of general health, vitality, and mental health. Factors associated with worse outcomes are female sex, fibromyalgia/chronic fatigue, and obesity

Adherence to and appropriateness of anti-osteoporotic treatments in patients aged 50 and over in the Valencia Region (Spain). The ESOSVAL-AD Study

<p>Summary</p> <p>Background</p> <p>A study to evaluate the adherence to and appropriateness of anti-osteoporotic treatments in a cohort of men and women aged 50 and over participating in the ESOSVAL-R study.</p> <p>Methods/Design</p> <p><it>Design</it>: An observational, longitudinal, prospective cohort study; Study subjects: Men and women aged 50 and over living in the Valencia Region (Spain) who initiated treatment between June 15, 2009, and June 15, 2011, in primary healthcare centers with electronic medical records; <it>Data sources</it>: The main data source will be electronic medical records. <it>Measurement of results: </it>Degree of compliance with and persistence of anti-osteoporotic treatments, and the proportion of patients with appropriate anti-osteoporotic treatment in accordance with the most relevant and high impact recommendations with clearly defined treatment algorithms in Spain (the Spanish National Health System guide (2010), the General Practitioners' Society (2007) and the General Directorate for Pharmacy and Medical Products of Madrid (2007)), and with the National Osteoporosis Foundation (NOF, 2010), and the International Osteoporosis Foundation guidelines (IOF, 2008); <it>Analysis</it>: 1.) Descriptive analysis of patients undergoing treatment and the treatments prescribed; 2.) Descriptive analysis of compliance with and persistence of anti-osteoporotic treatments; 3.) Analysis of factors associated with compliance with and persistence of treatments by Cox proportional hazard regression models, 4.) Descriptive analysis of appropriateness of treatment; 5.) Analysis of factors associated with the appropriateness of treatment by multilevel models (4 levels: patient, doctor, Basic Healthcare Zone/Primary Healthcare Center, and Health Area variables).</p> <p>Discussion</p> <p>ESOSVAL-AD will provide information regarding adherence to osteoporosis treatments and the factors associated with a higher or lower adherence (including the appropriateness of the treatment) in the Spanish context. A better understanding of this phenomenon and the interventions needed to address it would contribute to the increased effectiveness of therapeutic measures, a reduction in morbidity and mortality, and a corresponding reduction in healthcare costs.</p

Tax avoidance methods: Double Irish and Dutch Sandwich

Treball Final de Grau en Finances i Comptabilitat. Codi: FC1049. Curs acadèmic: 2016/201

Memorias IX Congreso Geológico Venezolano (3)

Memorias IX Congreso Geol&oacute;gico Venezolano (3