Splitting Tychonoff cubes into homeomorphic and homogeneous parts
Sign Up to like & getrecommendations! Published in 2020 at "Topology and its Applications"
DOI: 10.1016/j.topol.2019.107018
Abstract: Abstract Let τ be an infinite cardinal. We prove that I and the Tychonoff cube I τ can be split into two homeomorphic and homogeneous parts. If τ is uncountable, such a partition cannot consist… read more here.
Keywords: homeomorphic homogeneous; cubes homeomorphic; tychonoff cubes; splitting tychonoff ... See more keywords
Non-singular three-dimensional arbitrarily shaped acoustic cloaks composed of homogeneous parts
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Applied Physics"
DOI: 10.1063/1.5028136
Abstract: Acoustic metamaterials are artificial materials with unique acoustic properties, permitting interesting behaviors, such as acoustic cloaking. Acoustic cloaks can make an object appear acoustically “invisible.” Prior cloaks that were designed based on transformation methods have… read more here.
Keywords: acoustic cloaks; singular three; transformation; tetrahedron ... See more keywords
Unraveling Hidden Major Factors by Breaking Heterogeneity into Homogeneous Parts within Many-System Problems
Sign Up to like & getrecommendations! Published in 2022 at "Entropy"
DOI: 10.3390/e24020170
Abstract: For a large ensemble of complex systems, a Many-System Problem (MSP) studies how heterogeneity constrains and hides structural mechanisms, and how to uncover and reveal hidden major factors from homogeneous parts. All member systems in… read more here.
Keywords: system; heterogeneity; major factors; hidden major ... See more keywords