Formulation, Uniqueness, and Solution Strategies

2018 ◽  
pp. 99-109
Author(s):  
Phillip L. Gould ◽  
Yuan Feng
Keyword(s):  
2010 ◽  
Vol 31 (2) ◽  
pp. 95-100 ◽  
Author(s):  
Claudia Quaiser-Pohl ◽  
Anna M. Rohe ◽  
Tobias Amberger

The solution strategies of preschool children solving mental-rotation tasks were analyzed in two studies. In the first study n = 111 preschool children had to demonstrate their solution strategy in the Picture Rotation Test (PRT) items by thinking aloud; seven different strategies were identified. In the second study these strategies were confirmed by latent class analysis (LCA) with the PRT data of n = 565 preschool children. In addition, a close relationship was found between the solution strategy and children’s age. Results point to a stage model for the development of mental-rotation ability as measured by the PRT, going from inappropriate strategies like guessing or comparing details, to semiappropriate approaches like choosing the stimulus with the smallest angle discrepancy, to a holistic or analytic strategy. A latent transition analysis (LTA) revealed that the ability to mentally rotate objects can be influenced by training in the preschool age.


2020 ◽  
Author(s):  
Anaí Floriano Vasconcelos ◽  
Ademir Paceli Barbassa

Sustainable urban stormwater management (SUSM) is essential to urban sustainability. However, barriers to adopting it are observed even in places where SUSM is more widespread. Recent studies have evaluated strategies for overcoming some types of barriers. However, any study has systematically analyzed the strategies available for overcoming the most common barriers, contributing to widely adopting SUSM. Thus, this article aimed to provide a literature review on these strategies. Sixty-six documents were evaluated, resulting in eight solution strategies, detailed by 81 implementation measures, which were critically analyzed. The interrelationships among the solution strategies and their applicability to overcome the SUSM-related barriers were evaluated. This analysis showed that the solution strategies are interdependent, so it would be inefficient to adopt the strategies in isolation. On the other hand, adopting a strategy can help overcome several barriers, also enhancing other strategies, and consequently contributing to the global scenario of effective SUSM adoption. The availability of this systematized information helps break through common barriers and optimizing efforts to adopt SUSM where it is incipient.


2021 ◽  
Author(s):  
Johann Moritz Reumschüssel ◽  
Jakob G. R. von Saldern ◽  
Yiqing Li ◽  
Christian Oliver Paschereit ◽  
Alessandro Orchini

Abstract Machine learning and automatized routines for parameter optimization have experienced a surge in development in the past years, mostly caused by the increasing availability of computing capacity. Gradient-free optimization can avoid cumbersome theoretical studies as input parameters are purely adapted based on output data. As no knowledge about the objective function is provided to the algorithms, this approach might reveal unconventional solutions to complex problems that were out of scope of classical solution strategies. In this study, the potential of these optimization methods on thermoacoustic problems is examined. The optimization algorithms are applied to a generic low-order thermoacoustic can-combustor model with several fuel injectors at different locations. We use three optimization algorithms — the well established Downhill Simplex Method, the recently proposed Explorative Gradient Method, and an evolutionary algorithm — to find optimal fuel distributions across the fuel lines while maintaining the amount of consumed fuel constant. The objective is to have minimal pulsation amplitudes. We compare the results and efficiency of the gradient-free algorithms. Additionally, we employ model-based linear stability analysis to calculate the growth rates of the dominant thermoacoustic modes. This allows us to highlight general and thermoacoustic-specific features of the optimization methods and results. The findings of this study show the potential of gradient-free optimization methods on combustor design for tackling thermoacoustic problems, and motivate further research in this direction.


2017 ◽  
Vol 52 (2) ◽  
pp. 025004
Author(s):  
S M Wheaton ◽  
P-M Binder

2016 ◽  
Vol 23 (4) ◽  
pp. 226-234 ◽  
Author(s):  
Erin M. Meikle

For orchestrating whole-class discussions, note these suggestions to fine tune problem-solving techniques into cognitively challenging tasks.


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