Sobre o Método de Mahler para transcendência

Dissertação (mestrado)—Universidade de Brasília, Instituto de Ciências Exatas, Departamento de Matemática, 2021.Seja $\mathfrak{a}=(a_n)_{n\geq 0}$ uma sequência de inteiros positivos. Neste trabalho, estudamos o comportamento aritmético de valores da função $f_\mathfrak{a}(z)=\sum_{n\geq 0}z^{a_n}$. Primeiro, no caso de uma sequência superexponencial $\mathfrak{a}$, mostramos (em particular) que $f_\mathfrak{a}(\alpha)$ é um número transcendente, para todo número algébrico não nulo $\alpha\in B(0,1)$. Depois disso, o objetivo principal é estudar o caso em que $\mathfrak{a}$ é uma sequência exponencial. Para isso, apresentamos e usamos o chamado Método de Mahler (que é particularmente útil para funções que satisfazem alguma equação funcional) para obter resultados de transcendência sobre valores de funções em argumentos algébricos.Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq) e Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES).Let $\mathfrak{a}=(a_n)_{n\geq 0}$ be a sequence of positive integers. In this work, we study the arithmetic behavior of values of the function $f_\mathfrak{a}(z)=\sum_{n\geq 0}z^{a_n}$. First, in the case of a super-exponential sequence $\mathfrak{a}$, we show (in particular) that $f_\mathfrak{a}(\alpha)$ is a transcendental number, for all nonzero algebraic number $\alpha\in B(0,1)$. After that, the main focus is to study the case in which $\mathfrak{a}$ is an exponencial sequence. For that, we present and use the called Mahler's method (which is particularly useful for functions satisfying some functional equation) to derive transcendental results about values of functions at algebraic arguments

Alterações cognitivas na infecção pelo HIV: uma revisão sistemática: Cognitive changes in HIV infection: a systematic review

Provocada pelo vírus da imunodeficiência humana, com a síndrome da imunodeficiência adquirida, numa pessoa tem o seu sistema imunológico prejudicado, tornando-se suscetível a outras doenças e infecção. Tem-se a estimativa de que 50% dos infectados com o referido vírus podem sofrer alterações cognitivas. Diante disso, este estudo tem como objetivo refletir sobre mudanças estruturais cerebrais e comprometimento cognitivo em pacientes com HIV. Portanto, trata-se de uma revisão sistemática de literatura, desenvolvida a partir da seleção de estudos nas bases de dados Scielo, Pubmed e BVS/Medline a partir do uso de descritores DeCS/MeSH e aplicação de critérios de inclusão e exclusão. Após a análise e interpretação dos dados, concluiu-se que há uma significativa prevalência de HAND em adultos infectados por HIV, no que se refere a alterações cognitivas, especialmente entre pacientes do sexo feminino, de baixa escolaridade e renda, com diagnóstico tardio e baixa quantidade de linfócitos CD4 no início do tratamento. Entre essas pessoas, revelam-se comprometimentos quanto à memória, atenção, controle de impulsos, velocidade de processamento e motora, dentre outros

Uso de drogas e o aumento das infecções sexualmente transmissíveis: uma revisão sistemática: Drug use and the increase in sexually transmitted infections: a systematic review

Populações de usuários de drogas têm sido associadas a epidemias de infecções ou Infecções Sexualmente Transmissíveis, especialmente a infecção pelo HIV (que está associada a drogas injetáveis, uso de equipamentos contaminados para drogas injetáveis e sexo inseguro). A droga mais associada às DSTs é a cocaína fumável de base livre (crack), devido ao aumento dos comportamentos sexuais de risco. Diante disso, o presente estudo teve como objetivo compreender o impacto do uso de drogas no aumento das infecções sexualmente transmissíveis. Para isso, adotou-se como metodologia a revisão sistemática de literatura, realizando buscas nas bases de dados Scielo, Pubmed e BVS/Medline a partir do uso de descritores DeCS/MeSH e aplicação de critérios de inclusão e exclusão. A partir da análise e interpretação dos dados, concluiu-se que que pessoas que fazem uso abusivo de drogas lícitas ou ilícitas, sejam elas mulheres, homens, adolescentes, jovens, adultos, idosos, em situação de rua ou não, tendem a desenvolver comportamentos vulneráveis que pode resultar em IST. Somado a isso, enquanto comportamento de risco, tem-se a preferência por não usar preservativo, seja em relações sexuais com pessoas monogâmicas como com dois ou mais parceiros. Nesses casos, tanto o uso exacerbado de drogas como a falta de informação sobre comportamento sexual demonstram-se insuficientes

Characterisation of microbial attack on archaeological bone

As part of an EU funded project to investigate the factors influencing bone preservation in the archaeological record, more than 250 bones from 41 archaeological sites in five countries spanning four climatic regions were studied for diagenetic alteration. Sites were selected to cover a range of environmental conditions and archaeological contexts. Microscopic and physical (mercury intrusion porosimetry) analyses of these bones revealed that the majority (68%) had suffered microbial attack. Furthermore, significant differences were found between animal and human bone in both the state of preservation and the type of microbial attack present. These differences in preservation might result from differences in early taphonomy of the bones. © 2003 Elsevier Science Ltd. All rights reserved

Brazilian Flora 2020: Leveraging the power of a collaborative scientific network

International audienceThe shortage of reliable primary taxonomic data limits the description of biological taxa and the understanding of biodiversity patterns and processes, complicating biogeographical, ecological, and evolutionary studies. This deficit creates a significant taxonomic impediment to biodiversity research and conservation planning. The taxonomic impediment and the biodiversity crisis are widely recognized, highlighting the urgent need for reliable taxonomic data. Over the past decade, numerous countries worldwide have devoted considerable effort to Target 1 of the Global Strategy for Plant Conservation (GSPC), which called for the preparation of a working list of all known plant species by 2010 and an online world Flora by 2020. Brazil is a megadiverse country, home to more of the world's known plant species than any other country. Despite that, Flora Brasiliensis, concluded in 1906, was the last comprehensive treatment of the Brazilian flora. The lack of accurate estimates of the number of species of algae, fungi, and plants occurring in Brazil contributes to the prevailing taxonomic impediment and delays progress towards the GSPC targets. Over the past 12 years, a legion of taxonomists motivated to meet Target 1 of the GSPC, worked together to gather and integrate knowledge on the algal, plant, and fungal diversity of Brazil. Overall, a team of about 980 taxonomists joined efforts in a highly collaborative project that used cybertaxonomy to prepare an updated Flora of Brazil, showing the power of scientific collaboration to reach ambitious goals. This paper presents an overview of the Brazilian Flora 2020 and provides taxonomic and spatial updates on the algae, fungi, and plants found in one of the world's most biodiverse countries. We further identify collection gaps and summarize future goals that extend beyond 2020. Our results show that Brazil is home to 46,975 native species of algae, fungi, and plants, of which 19,669 are endemic to the country. The data compiled to date suggests that the Atlantic Rainforest might be the most diverse Brazilian domain for all plant groups except gymnosperms, which are most diverse in the Amazon. However, scientific knowledge of Brazilian diversity is still unequally distributed, with the Atlantic Rainforest and the Cerrado being the most intensively sampled and studied biomes in the country. In times of “scientific reductionism”, with botanical and mycological sciences suffering pervasive depreciation in recent decades, the first online Flora of Brazil 2020 significantly enhanced the quality and quantity of taxonomic data available for algae, fungi, and plants from Brazil. This project also made all the information freely available online, providing a firm foundation for future research and for the management, conservation, and sustainable use of the Brazilian funga and flora

Evaluation of a quality improvement intervention to reduce anastomotic leak following right colectomy (EAGLE): pragmatic, batched stepped-wedge, cluster-randomized trial in 64 countries

Background Anastomotic leak affects 8 per cent of patients after right colectomy with a 10-fold increased risk of postoperative death. The EAGLE study aimed to develop and test whether an international, standardized quality improvement intervention could reduce anastomotic leaks. Methods The internationally intended protocol, iteratively co-developed by a multistage Delphi process, comprised an online educational module introducing risk stratification, an intraoperative checklist, and harmonized surgical techniques. Clusters (hospital teams) were randomized to one of three arms with varied sequences of intervention/data collection by a derived stepped-wedge batch design (at least 18 hospital teams per batch). Patients were blinded to the study allocation. Low- and middle-income country enrolment was encouraged. The primary outcome (assessed by intention to treat) was anastomotic leak rate, and subgroup analyses by module completion (at least 80 per cent of surgeons, high engagement; less than 50 per cent, low engagement) were preplanned. Results A total 355 hospital teams registered, with 332 from 64 countries (39.2 per cent low and middle income) included in the final analysis. The online modules were completed by half of the surgeons (2143 of 4411). The primary analysis included 3039 of the 3268 patients recruited (206 patients had no anastomosis and 23 were lost to follow-up), with anastomotic leaks arising before and after the intervention in 10.1 and 9.6 per cent respectively (adjusted OR 0.87, 95 per cent c.i. 0.59 to 1.30; P = 0.498). The proportion of surgeons completing the educational modules was an influence: the leak rate decreased from 12.2 per cent (61 of 500) before intervention to 5.1 per cent (24 of 473) after intervention in high-engagement centres (adjusted OR 0.36, 0.20 to 0.64; P < 0.001), but this was not observed in low-engagement hospitals (8.3 per cent (59 of 714) and 13.8 per cent (61 of 443) respectively; adjusted OR 2.09, 1.31 to 3.31). Conclusion Completion of globally available digital training by engaged teams can alter anastomotic leak rates. Registration number: NCT04270721 (http://www.clinicaltrials.gov)

Safety of hospital discharge before return of bowel function after elective colorectal surgery

Background: Ileus is common after colorectal surgery and is associated with an increased risk of postoperative complications. Identifying features of normal bowel recovery and the appropriateness for hospital discharge is challenging. This study explored the safety of hospital discharge before the return of bowel function.Methods: A prospective, multicentre cohort study was undertaken across an international collaborative network. Adult patients undergoing elective colorectal resection between January and April 2018 were included. The main outcome of interest was readmission to hospital within 30 days of surgery. The impact of discharge timing according to the return of bowel function was explored using multivariable regression analysis. Other outcomes were postoperative complications within 30 days of surgery, measured using the Clavien-Dindo classification system.Results: A total of 3288 patients were included in the analysis, of whom 301 (9.2 per cent) were discharged before the return of bowel function. The median duration of hospital stay for patients discharged before and after return of bowel function was 5 (i.q.r. 4-7) and 7 (6-8) days respectively (P < 0.001). There were no significant differences in rates of readmission between these groups (6.6 versus 8.0 per cent; P = 0.499), and this remained the case after multivariable adjustment for baseline differences (odds ratio 0.90, 95 per cent c.i. 0.55 to 1.46; P = 0.659). Rates of postoperative complications were also similar in those discharged before versus after return of bowel function (minor: 34.7 versus 39.5 per cent; major 3.3 versus 3.4 per cent; P = 0.110).Conclusion: Discharge before return of bowel function after elective colorectal surgery appears to be safe in appropriately selected patients

Timing of nasogastric tube insertion and the risk of postoperative pneumonia: an international, prospective cohort study

Aim: Aspiration is a common cause of pneumonia in patients with postoperative ileus. Insertion of a nasogastric tube (NGT) is often performed, but this can be distressing. The aim of this study was to determine whether the timing of NGT insertion after surgery (before versus after vomiting) was associated with reduced rates of pneumonia in patients undergoing elective colorectal surgery. Method: This was a preplanned secondary analysis of a multicentre, prospective cohort study. Patients undergoing elective colorectal surgery between January 2018 and April 2018 were eligible. Those receiving a NGT were divided into three groups, based on the timing of the insertion: routine NGT (inserted at the time of surgery), prophylactic NGT (inserted after surgery but before vomiting) and reactive NGT (inserted after surgery and after vomiting). The primary outcome was the development of pneumonia within 30 days of surgery, which was compared between the prophylactic and reactive NGT groups using multivariable regression analysis. Results: A total of 4715 patients were included in the analysis and 1536 (32.6%) received a NGT. These were classified as routine in 926 (60.3%), reactive in 461 (30.0%) and prophylactic in 149 (9.7%). Two hundred patients (4.2%) developed pneumonia (no NGT 2.7%; routine NGT 5.2%; reactive NGT 10.6%; prophylactic NGT 11.4%). After adjustment for confounding factors, no significant difference in pneumonia rates was detected between the prophylactic and reactive NGT groups (odds ratio 1.03, 95% CI 0.56–1.87, P = 0.932). Conclusion: In patients who required the insertion of a NGT after surgery, prophylactic insertion was not associated with fewer cases of pneumonia within 30 days of surgery compared with reactive insertion