Foolishness of COVID-19: Applying the Polyhedron Model of Wisdom to Understand Behaviors in a Time of Crisis

Roeper Review ◽  
2021 ◽  
Vol 43 (1) ◽  
pp. 42-52
Author(s):  
Sareh Karami ◽  
Fabio Andres Parra-Martinez
Keyword(s):  
Polyhedron Model

scholarly journals Data-based polyhedron model for optimization of engineering structures involving uncertainties

2021 ◽  
Vol 2 ◽  
Author(s):  
Zhiping Qiu ◽  
Han Wu ◽  
Isaac Elishakoff ◽  
Dongliang Liu
Keyword(s):  
Linear Programming ◽  
Convex Polyhedron ◽  
Linear Optimization ◽  
Optimal Solution ◽  
Composite Plates ◽  
Convex Polyhedra ◽  
Chebyshev Inequality ◽  
Engineering Structures ◽  
Load Bearing ◽  
Polyhedron Model

Abstract This paper studies the data-based polyhedron model and its application in uncertain linear optimization of engineering structures, especially in the absence of information either on probabilistic properties or about membership functions in the fussy sets-based approach, in which situation it is more appropriate to quantify the uncertainties by convex polyhedra. Firstly, we introduce the uncertainty quantification method of the convex polyhedron approach and the model modification method by Chebyshev inequality. Secondly, the characteristics of the optimal solution of convex polyhedron linear programming are investigated. Then the vertex solution of convex polyhedron linear programming is presented and proven. Next, the application of convex polyhedron linear programming in the static load-bearing capacity problem is introduced. Finally, the effectiveness of the vertex solution is verified by an example of the plane truss bearing problem, and the efficiency is verified by a load-bearing problem of stiffened composite plates.

scholarly journals Replicated Placements in the Polyhedron Model

2003 ◽  
pp. 303-308
Author(s):  
Peter Faber ◽  
Martin Griebl ◽  
Christian Lengauer
Keyword(s):  
Polyhedron Model

Instability model of the NaZr2(PO4)3 Structure

2002 ◽  
Vol 713 ◽  
Author(s):  
Albert Troole ◽  
Sergey Stefanovsky
Keyword(s):  
Coordination Polyhedron ◽  
Local Symmetry ◽  
Paramagnetic Species ◽  
Local Distortion ◽  
Rank Tensor ◽  
Ion Probe ◽  
Charge Compensator ◽  
Paramagnetic Probes ◽  
Polyhedron Model ◽  
Nzp Structure

ABSTRACTIncorporation of paramagnetic species in NaZr2(PO4)3 (NZP) single crystal made possible to investigate local distortion of the NZP structure from EPR data. Cr3+ and Fe3+ ions were used as paramagnetic probes. We mapped invariant sum of cubic component of the fourth rank tensor of crystal field, the indicative surface of the B04 element of this tensor as well as 2nd, 3rd, and 4th orders axles of the cubic component of the same tensor. From these data the coordination polyhedron of the ion-probe has been modeled and direction to charge compensator has been determined. Based on the coordination polyhedron model obtained it has been shown how would the local symmetry be lowered from C3 (initial symmetry of the Zr-polyhedron) to C1 (Zr substitute ion-probe). A comparison of dynamics of the structure occurring at lowering the symmetry with allowed dynamics of the NZP structure (Roy -Alamo-Agrawal model) makes easily explainable why the dynamics observed results in an instability of the NZP structure and breaking the symmetry from R 3c to C2/c.

scholarly journals Iterative Schedule Optimization for Parallelization in the Polyhedron Model

2017 ◽  
Vol 14 (3) ◽  
pp. 1-26 ◽  
Author(s):  
Stefan Ganser ◽  
Armin Grösslinger ◽  
Norbert Siegmund ◽  
Sven Apel ◽  
Christian Lengauer
Keyword(s):  
Schedule Optimization ◽  
Polyhedron Model

Method of Spray Gun Path Generation Based on Z-Map Theory

2012 ◽  
Vol 157-158 ◽  
pp. 558-562 ◽  
Author(s):  
Zhan Zhong Wang ◽  
Chao Ying Liu ◽  
Lin Zhang Cheng ◽  
Xiao Ke Fan
Keyword(s):  
Free Surface ◽  
3D Model ◽  
Cad Model ◽  
Matlab Program ◽  
Painting Robot ◽  
Normal Vectors ◽  
Model Setup ◽  
Shape Complexity ◽  
Spray Gun ◽  
Polyhedron Model

As an advanced painting equipment, the spray-painting robot has been widely used in product painting. For the shape complexity of modern product, how to make the coating uniform has become an extremely important problem. In this paper, based on Z-map theory and the free surface’s CAD model, the free surface is fragmented into polyhedron model, and then the coordinate information and normal vectors of the painting node under the condition of equidistance painting are exacted with MATLAB program. At the end, with those coordinate information & normal vectors, the spray gun path for a random free surface could be generated and simulated automatically. Finally, based on the 3D model setup with Pro/E software, the spray gun path for a car body’s top area is generated and simulated.

Polyhedron Model

2011 ◽  
pp. 1581-1592 ◽  
Author(s):  
Bruce Leasure ◽  
David J. Kuck ◽  
Sergei Gorlatch ◽  
Murray Cole ◽  
Gregory R. Watson ◽  
...  
Keyword(s):  
Polyhedron Model
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