spatial estimation
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2021 ◽  
Vol 21 (3) ◽  
pp. 357-361
Author(s):  
PUSHPANJALI ◽  
P.K. PANKAJ ◽  
J. SAMUEL ◽  
K. KARTHIKEYAN ◽  
K. SAMMI REDDY

2021 ◽  
Vol 5 (S2) ◽  
pp. 906-921
Author(s):  
Tran Viet Cuong ◽  
Dao Tam ◽  
Pham Van Hieu

According to the theory of active education and Mathematics teaching in secondary schools, there are five steps designed for geometrical knowledge and four stages for the process of applying the examined circumstances. The research objective aims to evaluate the effectiveness and feasibility of the suggestion focused on the process of constructing and manipulating situations in teaching Geometry. The research method uses the case study in the specific teaching process, which was conducted with 24 teachers who have taught Mathematics at secondary schools over three months from August 2019 to October 2019; and 30 secondary school students between May 2020 and July 2020. Finally, the result shows that all teachers agree that the design and application process is appropriate and effective for their lesson. In terms of the student's aspect, the case study reveals that the application of various steps in the process is beneficial for improving geometric deductive and spatial estimation, as well as using theoretical knowledge in the practical situation. Based on the research, this paper will clarify some solutions related to the way to design processes and utilize them in some Geometry content in secondary schools in Vietnam.


Author(s):  
Joel Villavicencio Gastelu ◽  
Victor Gabriel Borges ◽  
Joel David Melo Trujillo

2021 ◽  
Vol ahead-of-print (ahead-of-print) ◽  
Author(s):  
Elham Mahmoudi ◽  
Marcel Stepien ◽  
Markus König

PurposeA principle prerequisite for designing and constructing an underground structure is to estimate the subsurface's properties and obtain a realistic picture of stratigraphy. Obtaining direct measure of these values in any location of the built environment is not affordable. Therefore, any evaluation is afflicted with uncertainty, and we need to combine all available measurements, observations and previous knowledge to achieve an informed estimate and quantify the involved uncertainties. This study aims to enhance the geotechnical surveys based on a spatial estimation of subsoil to customised data structures and integrating the ground models into digital design environments.Design/methodology/approachThe present study's objective is to enhance the geotechnical surveys based on a spatial estimation of subsoil to customised data structures and integrating the ground models into digital design environments. A ground model consisting of voxels is developed via Revit-Dynamo to represent spatial uncertainties employing the kriging interpolation method. The local arrangement of new surveys are evaluated to be optimised.FindingsThe visualisation model's computational performance is modified by using an octree structure. The results show that it adapts the structure to be modelled more efficiently. The proposed concept can identify the geological models' risky locations for further geological investigations and reveal an optimised experimental design. The modifications criteria are defined in global and local considerations.Originality/valueIt provides a transparent and repeatable approach to construct a spatial ground model for subsequent experimental or numerical analysis. In the first attempt, the ground model was discretised by a grid of voxels. In general, the required computing time primarily depends on the size of the voxels. This issue is addressed by implementing octree voxels to reduce the computational efforts. This applies especially to the cases that a higher resolution is required. The investigations using a synthetic soil model showed that the developed methodology fulfilled the kriging method's requirements. The effects of variogram parameters, such as the range and the covariance function, were investigated based on some parameter studies. Moreover, a synthetic model is used to demonstrate the optimal experimental design concept. Through the implementation, alternative locations for new boreholes are generated, and their uncertainties are quantified. The impact of the new borehole on the uncertainty measures are quantified based on local and global approaches. For further research to identify the geological models' risky spots, the development of this approach with additional criteria regarding the search neighbourhood and consideration of barriers and trends in real cases (by employing different interpolation methodologies) should be considered.


2021 ◽  
Vol 6 (2) ◽  
pp. 219-229
Author(s):  
G. Avarez ◽  
B. Sans´o

2021 ◽  
Vol 6 (3) ◽  
pp. 219-229
Author(s):  
G. Avarez ◽  
B. Sans´o

Signals ◽  
2021 ◽  
Vol 2 (3) ◽  
pp. 378-391
Author(s):  
Ioannis Zorzos ◽  
Ioannis Kakkos ◽  
Errikos M. Ventouras ◽  
George K. Matsopoulos

Brain source localization has been consistently implemented over the recent years to elucidate complex brain operations, pairing the high temporal resolution of the EEG with the high spatial estimation of the estimated sources. This review paper aims to present the basic principles of Electrical source imaging (ESI) in the context of the recent progress for solving the forward and the inverse problems, and highlight the advantages and limitations of the different approaches. As such, a synthesis of the current state-of-the-art methodological aspects is provided, offering a complete overview of the present advances with regard to the ESI solutions. Moreover, the new dimensions for the analysis of the brain processes are indicated in terms of clinical and cognitive ESI applications, while the prevailing challenges and limitations are thoroughly discussed, providing insights for future approaches that could help to alleviate methodological and technical shortcomings.


2021 ◽  
Vol 10 ◽  
pp. 100369
Author(s):  
Samille Santos Rocha ◽  
Cira Souza Pitombo ◽  
Luís Henrique Magalhães Costa ◽  
Samuel de França Marques

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