Explicit Solutions of Nonlocal Boundary Value Problems, Containing Bitsadze-Samarskii Constraints

MSC 2010: 44A35, 35L20, 35J05, 35J25

Nonlocal Boundary Value Problems for Two-Dimensional Potential Equation on a Rectangle

Иван Димовски, Юлиан Цанков - Предложено е разширение на принципa на Дюамел. За намиране на явно решение на нелокални гранични задачи от този тип е развито операционно смятане основано върху некласическа двумерна конволюция. Пример от такъв тип е задачата на Бицадзе-Самарски.

Three-Dimensional Operational Calculi for Nonlocal Evolution Boundary Value Problems

Иван Христов Димовски, Юлиан Цанков Цанков - Построени са директни операционни смятания за функции u(x, y, t), непрекъснати в област от вида D = [0, a] × [0, b] × [0, ∞). Наред с класическата дюамелова конволюция, построението използва и две некласически конволюции за операторите ∂2x и ∂2y. Тези три едномерни конволюции се комбинират в една тримерна конволюция u ∗ v в C(D). Вместо подхода на Я. Микусински, основаващ се на конволюционни частни, се развива алтернативен подход с използване на мултипликаторните частни на конволюционната алгебра (C(D), ∗).

Exact Solutions of Nonlocal Boundary Value Problems for One- and Two-Dimensional Heat Equation

Иван Хр. Димовски, Юлиан Ц. Цанков - Предложен е метод за намиране на явни решения на клас двумерни уравнения на топлопроводността с нелокални условия по пространствените променливи. Методът е основан на директно тримерно операционно смятане. Класическата дюамелова конволюция е комбинирана с две некласически конволюции за операторите ∂xx и ∂yy в една тримерна конволюция. Съответното операционно смятане използва мултипликаторни частни. Мултипликаторните частни позволяват да се продължи принципът на Дюамел за пространствените променливи и да се намерят явни решения на разглежданите гранични задачи. Общите разглеждания са приложени в случая на гранични условия от типа на Йонкин. Намерени са експлицитни решения в затворен вид.

Trimmed Likelihood Estimation of the Parameters of the Generalized Extreme Value Distributions: a Monte-Carlo Study

2000 Mathematics Subject Classification: Primary 62F35; Secondary 62P99

On the Lp-Norm Regression Models for Estimating Value-at-Risk

Analysis of risk measures associated with price series data movements and its predictions are of strategic importance in the financial markets as well as to policy makers in particular for short- and longterm planning for setting up economic growth targets. For example, oilprice risk-management focuses primarily on when and how an organization can best prevent the costly exposure to price risk. Value-at-Risk (VaR) is the commonly practised instrument to measure risk and is evaluated by analysing the negative/positive tail of the probability distributions of the returns (profit or loss). In modelling applications, least-squares estimation (LSE)-based linear regression models are often employed for modeling and analyzing correlated data. These linear models are optimal and perform relatively well under conditions such as errors following normal or approximately normal distributions, being free of large size outliers and satisfying the Gauss-Markov assumptions. However, often in practical situations, the LSE-based linear regression models fail to provide optimal results, for instance, in non-Gaussian situations especially when the errors follow distributions with fat tails and error terms possess a finite variance. This is the situation in case of risk analysis which involves analyzing tail distributions. Thus, applications of the LSE-based regression models may be questioned for appropriateness and may have limited applicability. We have carried out the risk analysis of Iranian crude oil price data based on the Lp-norm regression models and have noted that the LSE-based models do not always perform the best. We discuss results from the L1, L2 and L∞-norm based linear regression models. ACM Computing Classification System (1998): B.1.2, F.1.3, F.2.3, G.3, J.2.

Prognostic value of lymph node ratio and extramural vascular invasion on survival for patients undergoing curative colon cancer resection

Peer reviewed

Effect of age on the prognostic value of left ventricular function in patients with acute coronary syndrome : A prospective registry study

© The European Society of Cardiology 2015. Funding The project was funded by the Sir Halley Stewart Trust. MINAP is funded by the Health Quality Improvement Partnership (HQIP).

What do UK doctors in training value in a post? : A discrete choice experiment

© 2016 John Wiley & Sons Ltd. Funding: our thanks go to NHS Education for Scotland for funding this programme of work.

Implicit Feature Selection with the Value Difference Metric

Publisher PDF

"Pilado add Value" - valorisation of non-traditional marine resources

Os subprodutos da pesca têm recebido maior atenção devido à perceção dos seus impactos negativos na economia e no ambiente. Contudo, os subprodutos de crustáceos contêm vários compostos que podem ser usados como fonte de biopolímeros, como por exemplo a quitina, tendo esta uma grande variedade de aplicações biotecnológicas. O caranguejo Polybius henslowii, é um recurso marinho extremamente abundante na costa oeste Portuguesa durante os meses de Verão, não sendo contudo aproveitada para fins comerciais. Com este estudo procura-se assim contribuir para a valorização económica deste recurso, como fonte de matéria-prima para a extração de polímeros visando aplicações biotecnológicos. Para avaliar o seu potencial, a quitina foi extraída e quitosano produzido, a partir de distintas partes do corpo de Polybius henslowii: pereópodes e carapaça. O quitosano obtido, serviu, por sua vez, de matéria-prima para a produção de quitosano solúvel em água (WSC) e oligomeros de quitosano (COS), tendo todas as amostras sido caracterizadas e testadas quanto às suas propriedades antibacteriana, antifúngica e antioxidante, redução do radical 1, 1-Difenil-2-picrilhidrazil (DPPH). A caracterização das amostras de quitosano obtidas a partir de ambos os segmentos, demonstraram diferenças quanto ao seu rendimento, peso molecular e viscosidade. Os oligomeros de quitosano (COS) revelaram atividade antibacteriana contra todas as bactérias Gram-negativas testadas e a Gram-positiva, Lactobacillus planctarum (ATCC8014). COS mostraram melhores resultados na concentração mínima inibitória do que WSC contra todos os microrganismos testados, com maior inibição de crescimento demonstrada para Escherichia coli (ATCC10536) entre as concentrações de 0.125-0.0625 mg/mL. Os oligomeros demonstraram também maior atividade na redução do radical DPPH e na atividade antifúngica contra quatro espécies de fungo. A maior capacidade de redução foi obtida pelas amostras de COS obtidos a partir de pereópodes e carapaças (40%) com 1mg/mL de amostra.A capacidade de inibição do crescimento das espécies de fungos testados provou ser maior também para as amostras de oligomeros, do que para o quitosano solúvel em água. A maior atividade observada foi conseguida pelas amostras de pCOS (oligomeros de quitosano de pereópodes) e cCOS (oligomeros de quitosano de carapaças) para Cryphonectria parasitica (DSMZ 62626) com 84.5±3.14% e 85.6±2.27%, respetivamente. Tendo por base os resultados obtidos, é possível concluir pelas características bioquímicas e propriedades biológicas deste recurso marinho não tradicional, Polybius henslowii, suportam a sua utilização por indústrias biotecnológicas, promovendo assim a sua valorização económica. A exploração desta espécie vítima de captura acidental pode também aumentar desta forma a competitividade da atividade pesqueira através da reorientação e diversificação das espécies alvo, com potencial impacto no desenvolvimento sustentável nas comunidades costeiras.

Prognostic value of the diagnostic criteria distinguishing endometrial stromal sarcoma, low grade from undifferentiated endometrial sarcoma, 2 entities within the invasive endometrial stromal neoplasia family

The World Health Organization (WHO 2003) recognizes 3 endometrial stromal neoplasms: noninvasive endometrial stromal nodule and the 2 invasive neoplasms, endometrial stromal sarcoma (ESS), low grade and undifferentiated endometrial sarcoma (UES). It is important to note that the WHO 2003 does not define moderate atypia (an important differentiating diagnostic criterion for ESS, low grade and UES), nor does it discuss its significance. Moreover, studies on reproducibility and additional prognostic value of other diagnostic features in large are lacking. Using strict definitions, we analyzed the agreement between routine and expert-review necrosis and nuclear atypia in 91 invasive endometrial stromal neoplasias (IESN). The overall 5-year and 10-year recurrence-free survival rate estimates of the 91 IESN patients were 82% and 75%, respectively. Necrosis was well reproducible, and nuclear atypia was reasonably well reproducible. The 10-year recurrence-free survival rates for necrosis absent/inconspicuous versus prominent were 89% and 45% (P<0.001) and those for review-confirmed none/mild, moderate, severe atypia were 90%, 30%, and <20% (P<0.00001). Therefore, cases with moderate/severe atypia should be grouped together. Nuclear atypia and necrosis had independent prognostic values (Cox regression). Once these features were taken into account, no other feature had an independent additional prognostic value, including mitotic count. Using "none/mild atypia, necrosis absent/inconspicuous" as ESS, low grade versus "moderate/severe atypia present or necrosis present" as UES resulted in 68 ESS, low grade and 23 UES cases with disease-specific overall mortality-free survival of 99% versus 48% (P<0.00001, hazard ratio=45.4). When strictly defined microscopic criteria are used, the WHO 2003 diagnoses of ESS, low grade and UES are well reproducible and prognostically strong. © 2012 International Society of Gynecological Pathologists.

Global Mental Health: Five Areas for Value-Driven Training Innovation.

OBJECTIVE: In the field of global mental health, there is a need for identifying core values and competencies to guide training programs in professional practice as well as in academia. This paper presents the results of interdisciplinary discussions fostered during an annual meeting of the Society for the Study of Psychiatry and Culture to develop recommendations for value-driven innovation in global mental health training. METHODS: Participants (n = 48), who registered for a dedicated workshop on global mental health training advertised in conference proceedings, included both established faculty and current students engaged in learning, practice, and research. They proffered recommendations in five areas of training curriculum: values, competencies, training experiences, resources, and evaluation. RESULTS: Priority values included humility, ethical awareness of power differentials, collaborative action, and "deep accountability" when working in low-resource settings in low- and middle-income countries and high-income countries. Competencies included flexibility and tolerating ambiguity when working across diverse settings, the ability to systematically evaluate personal biases, historical and linguistic proficiency, and evaluation skills across a range of stakeholders. Training experiences included didactics, language training, self-awareness, and supervision in immersive activities related to professional or academic work. Resources included connections with diverse faculty such as social scientists and mentors in addition to medical practitioners, institutional commitment through protected time and funding, and sustainable collaborations with partners in low resource settings. Finally, evaluation skills built upon community-based participatory methods, 360-degree feedback from partners in low-resource settings, and observed structured clinical evaluations (OSCEs) with people of different cultural backgrounds. CONCLUSIONS: Global mental health training, as envisioned in this workshop, exemplifies an ethos of working through power differentials across clinical, professional, and social contexts in order to form longstanding collaborations. If incorporated into the ACGME/ABPN Psychiatry Milestone Project, such recommendations will improve training gained through international experiences as well as the everyday training of mental health professionals, global health practitioners, and social scientists.

Public-Private Partnership Design for Inclusive Cocoa Global Value Chains in Ghana

Within 10 years, there could be a severe global shortage in the supply of cocoa, according to industry practitioners and other experts. Due to global population growth and the emergence of a growing global middle class, by 2025 the cocoa crop would need to increase by nearly 50 per cent to keep up with projected demand. A potential shortage of supply is a direct threat to the business model of lead firms – including cocoa grinders and processors, chocolate confectioners, and retail distributors. But these international firms – the ones that will suffer the most if there is a shortage of cocoa supply – are helping create the market failure that is stifling sustainability. Functioning as a two-tiered consolidated oligopoly with a combined market share of approximately 89%, these firms enjoy the largest portion of value capture in the cocoa-chocolate global value chain (GVC). The smallholder cocoa producers, conversely, are trapped in low value-add segments of the GVC. In fact, most smallholder farmers survive on less than $1.00 per day per capita, on average in many cocoa exporting countries. In Ghana - the second largest producer of cocoa in the world - the government has accomplished little to help these smallholders upgrade and make cocoa an attractive sector for the next generation to inherit. The result – both in Ghana and around the world – is a lack of sustainability of the supply of cocoa. Demand is already beginning to outstrip supply. As a result of these underlying circumstances, the United States Agency for International Development (USAID) has posed the following policy question: "Under what conditions could USAID, as a development agency, support and enhance potential public-private partnerships in order to improve the bargaining power (and financial wherewithal) of smallholder organizations and farmers in the context of the global value chain for cocoa in Ghana?"