dimensional properties
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Author(s):  
Thomas Weighill ◽  
Takamitsu Yamauchi ◽  
Nicolò Zava

AbstractWe consider infinite-dimensional properties in coarse geometry for hyperspaces consisting of finite subsets of metric spaces with the Hausdorff metric. We see that several infinite-dimensional properties are preserved by taking the hyperspace of subsets with at most n points. On the other hand, we prove that, if a metric space contains a sequence of long intervals coarsely, then its hyperspace of finite subsets is not coarsely embeddable into any uniformly convex Banach space. As a corollary, the hyperspace of finite subsets of the real line is not coarsely embeddable into any uniformly convex Banach space. It is also shown that every (not necessarily bounded geometry) metric space with straight finite decomposition complexity has metric sparsification property.


2021 ◽  
Vol 40 (10) ◽  
pp. 17-29
Author(s):  
Wenjin Sun ◽  
Yu Liu ◽  
Gengxin Chen ◽  
Wei Tan ◽  
Xiayan Lin ◽  
...  

2021 ◽  
Author(s):  
Joonkoo Park

Studying magnitude perception using visual item arrays is notoriously difficult due to the intricate relationship between various dimensions including number, area, density, etc. When item arrays are constructed with a skewed and unbalanced distribution of their dimensional properties, false conclusions are easily made. This kind of flawed stimulus design was identified in a series of recently published studies that argue for an additive-area heuristic whereby people are more sensitive to the sum of the vertical and horizontal element axes in each item than the sum of the mathematical area of each item. By analyzing the dimensional properties of the stimuli used in the original studies (e.g., Yousif & Keil, 2019) using the mathematical framework for constructing stimulus parameters (DeWind et al., 2015) and by re-analyzing the data from another previous work on area judgment (Tomlinson et al., 2020), this paper demonstrates how skewed and unbalanced stimulus sampling leads to false conclusions.


2021 ◽  
Author(s):  
Shahidah Arina Shamsuddin ◽  
Mohd Nazree Derman ◽  
Uda Hashim ◽  
Muhammad Faheem Mohd Tahir

ACTA IMEKO ◽  
2020 ◽  
Vol 9 (5) ◽  
pp. 319
Author(s):  
W. Sabuga ◽  
A. S. Hashad ◽  
S. Ehlers

A 2D flow model is described for calculation of the effective area (<em>A</em>) of pressure-measuring piston-cylinder units (PCU) based on their dimensional properties. With the 2D model, the uncertainty contribution associated with PCU's axial non-symmetry can be eliminated and the uncertainty of <em>A</em> can be reduced. The 2D model is applied to several primary PCUs operated in absolute and gauge pressure modes with different pressure-transmitting media. The benefit of the 2D model in dependence on PCU's geometrical perfectness is discussed.


2020 ◽  
Vol 54 (6) ◽  
pp. 879-887
Author(s):  
B. Rotar ◽  
U. Stanković Elesini ◽  
P. Hajdu ◽  
B. Leskovar ◽  
R. Urbas

2020 ◽  
Author(s):  
Rakha Bayu Pratama ◽  
Andy Pramono ◽  
Joko Samudro

The tourist animation created for Bali Island is one of the promotional media used by the tourism sector. This animation presents information on various tourist attractions in Bali. In this case, it was supported by previous research by Niko Kurniawan with the theme of 3D Ergonomic patterns, and supported by Andy Pramono’s article themed 3D Animation using keyframe parameters. This animation visualization process is based on the source of the video that was made before, namely Bali Island Infographics by Afif CR. The process of making this tourist animation includes 3 stages, namely pre-production, production and post-production. While the design model used is a descriptive procedural model, which outlines the steps that must be taken to produce the product. This design produces 2 characters and 8 3-dimensional properties along with a combination of 2-dimensional animation that is harmonized into an animated video unit with a duration of 3 minutes 20 seconds. Keywords: animation, 3-dimension, tourism


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