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The n-dimensional fuzzy logic (n-DFL) has been contributed to overcome the insufficiency of traditional fuzzy logic in modeling imperfect and imprecise information, coming from different opinions of many experts by considering the possibility to model not only ordered but also repeated membership degrees. find more Thus, n-DFL provides a consolidated logical strategy for applied technologies since the ordered evaluations provided by decision makers impact not only by selecting the best solutions for a decision making problem, but also by enabling their comparisons. In such context, this paper studies the n-dimensional fuzzy implications (n-DI) following distinct approaches (i) analytical studies, presenting the most desirable properties as neutrality, ordering, (contra-)symmetry, exchange and identity principles, discussing their interrelations and exemplifications; (ii) algebraic aspects mainly related to left- and right-continuity of representable n-dimensional fuzzy t-conorms; and (iii) generating n-DI from existing fuzzy implications. As the most relevant contribution, the prospective studies in the class of n-dimensional interval (S,N)-implications include results obtained from t-representable n-dimensional conorms and involutive n-dimensional fuzzy negations. And, these theoretical results are applied to model approximate reasoning of inference schemes, dealing with based-rule in n-dimensional interval fuzzy systems. A synthetic case-study illustrates the solution for a decision-making problem in medical diagnoses.In this paper, we derive several a posteriori error estimators for generalized diffusion equation with delay in a convex polygonal domain. The Crank-Nicolson method for time discretization is used and a continuous, piecewise linear finite element space is employed for the space discretization. The a posteriori error estimators corresponding to space discretization are derived by using the interpolation estimates. Two different continuous, piecewise quadratic reconstructions are used to obtain the error due to the time discretization. To estimate the error in the approximation of the delay term, linear approximations of the delay term are used in a crucial way. As a consequence, a posteriori upper and lower error bounds for fully discrete approximation are derived for the first time. In particular, long-time a posteriori error estimates are obtained for stable systems. Numerical experiments are presented which confirm our theoretical results.Future simulation and motivation are two strategies that might help children improve their induced-state episodic foresight. In Study 1, 3- to 5-year-old children (N = 96) consumed pretzels (to induce thirst) and were asked what they would prefer the next day, pretzels or water. Children were randomly assigned to an experimental condition (1) a standard thirsty condition, (2) an episodic simulation condition where they imagined being hungry the next day, (3) a motivation condition where children chose between a cupcake and water, or (4) a control condition (thirst was not induced). Future preferences did not differ by age and children were less likely to choose water (vs. a cupcake) in the motivation condition compared to the standard thirsty condition. Study 2 found that 3- to 5-year-old children (N = 22) were also less likely to choose water for right now versus a cupcake when thirst was induced.Understanding the state of the COVID-19 pandemic relies on infection and mortality data. Yet official data may underestimate the actual cases due to limited symptoms and testing capacity. We offer a simulation-based approach which combines various sources of data to estimate the magnitude of outbreak. Early in the epidemic we applied the method to Iran's case, an epicenter of the pandemic in winter 2020. Estimates using data up to March 20th, 2020, point to 916,000 (90% UI 508 K, 1.5 M) cumulative cases and 15,485 (90% UI 8.4 K, 25.8 K) total deaths, numbers an order of magnitude higher than official statistics. Our projections suggest that absent strong sustaining of contact reductions the epidemic may resurface. We also use data and studies from the succeeding months to reflect on the quality of original estimates. Our proposed approach can be used for similar cases elsewhere to provide a more accurate, early, estimate of outbreak state. © 2020 System Dynamics Society.Education leaders recommend that global competence-global citizenship mentality and knowledge development for global participation-be incorporated into school curricula. This mixed methods study examined teacher's perceptions and self-reported practices of globally competent teaching. Data was collected from teachers taking a graduate education course infused with global learning. Results suggest teachers value and desire to enact globally competent teaching but need practical direction for classroom effectuation. Data manifest all four dimensions of the Global Teaching Model (i.e., situated relevant practice, integrated global learning, critical and cultural consciousness raising, and intercultural collaboration for transformative action) to differing degrees. This study provides evidence for the Global Teaching Model as a prospective framework and emphasizes the critical dimension when internationalizing teacher education.We conducted a multi-study, mixed-methods, longitudinal investigation to examine how mobile technology diffuses across the lifespan, in real time, within a multi-generational population, while seeking local knowledge through community-based participatory research. Using qualitative methods (QUAL), we examined technology adoption within and across three iterations (16 weeks) of a nine-wave longitudinal community technology-training workshop, situated within a 15-wave study. In parallel, we interrogated existing conceptualization and operationalization of diffusion of technology variables, then deductively evaluated the dominant DOI-related variables re-conceptualized through the community study in a large cross-sectional quantitative (QUAN) investigation. We interpreted our results consistently and iteratively with a mixed-methods approach that included conceptualization, operationalization, and empirical testing. We discovered that oft-conflated concepts of knowledge, use, and ownership represent distinct stages of adoption.
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