Fractal-type sets in the four-dimensional space using bicomplex and hyperbolic numbers
Sign Up to like & getrecommendations! Published in 2020 at "Analysis and Mathematical Physics"
DOI: 10.1007/s13324-020-00356-5
Abstract: In the first part of this work we study the set of bicomplex numbers from the point of view of a hyperbolic module. We make use of the partial order defined on the set of… read more here.
Keywords: fractal type; sets four; four dimensional; hyperbolic numbers ... See more keywords
Identification of a multi-dimensional space-dependent heat source from boundary data
Sign Up to like & getrecommendations! Published in 2018 at "Applied Mathematical Modelling"
DOI: 10.1016/j.apm.2017.09.029
Abstract: We investigate the linear but ill-posed inverse problem of determining a multi-dimensional space-dependent heat source in the parabolic heat equation from Cauchy boundary data. This model is important in practical applications where the distribution of… read more here.
Keywords: dependent heat; space dependent; multi dimensional; boundary data ... See more keywords
The relationship between diversity and productivity from a three-dimensional space view in a natural mesotrophic lake
Sign Up to like & getrecommendations! Published in 2021 at "Ecological Indicators"
DOI: 10.1016/j.ecolind.2020.107069
Abstract: Abstract The relationship between diversity and productivity (DPR) is a hot topic in ecology, whereas most evidence comes from studies of manipulated terrestrial ecosystems or from two-dimensional space views. In this study, we determined DPR… read more here.
Keywords: space; productivity; water; relationship diversity ... See more keywords
Analysis of a metafilm in non-integer dimensional space
Sign Up to like & getrecommendations! Published in 2020 at "Optik"
DOI: 10.1016/j.ijleo.2019.163498
Abstract: Abstract Properties of electromagnetic field, reflected and transmitted from a planar metafilm placed at the interface of two non integer dimensional (NID) mediums are studied. For this purpose, the metafilm is excited by a TE/TM… read more here.
Keywords: metafilm; non integer; metafilm non; dimensional space ... See more keywords
The principles of a new method, MNF-3D, for concentration of magnetic particles in three-dimensional space
Sign Up to like & getrecommendations! Published in 2017 at "Measurement"
DOI: 10.1016/j.measurement.2017.08.034
Abstract: Abstract The paper describes a new method, Magnetic Nanoparticles Focusing 3D (MNF-3D), for focusing of magnetic particles at any point in a three-dimensional space 3D in aqueous solutions. The method is based on a rotating… read more here.
Keywords: three dimensional; space; new method; method ... See more keywords
A general theory of polymer ejection tested in a quasi two-dimensional space
Sign Up to like & getrecommendations! Published in 2021 at "Scientific Reports"
DOI: 10.1038/s41598-021-94054-2
Abstract: A general ejection theory of polymer is developed in a two- and three-dimensional space. A polymer is confined initially in a cavity and ejects spontaneously to the outer space through a nanopore channel without the… read more here.
Keywords: space; theory; ejection; polymer ... See more keywords
Structural analysis based on unsupervised learning: Search for a characteristic low-dimensional space by local structures in atomistic simulations
Sign Up to like & getrecommendations! Published in 2022 at "Physical Review B"
DOI: 10.1103/physrevb.105.075107
Abstract: Owing to the advances in computational techniques and the increase in computational power, atomistic simulations of materials can simulate large systems with higher accuracy. Complex phenomena can be observed in such state-of-the-art atomistic simulations. However,… read more here.
Keywords: dimensional space; structural analysis; local structures; low dimensional ... See more keywords
Rapid Transformer Health State Recognition Through Canopy Cluster-Merging of Dissolved Gas Data in High-Dimensional Space
Sign Up to like & getrecommendations! Published in 2019 at "IEEE Access"
DOI: 10.1109/access.2019.2928628
Abstract: Dissolved gases in oil are major parameters for assessing the health state of power transformers. Recognizing that the existing state recognition methods are often restrained by data fluctuation and usually require greater computational load, this… read more here.
Keywords: state; dimensional space; high dimensional; state recognition ... See more keywords
Rotation Representations and Their Conversions
Sign Up to like & getrecommendations! Published in 2023 at "IEEE Access"
DOI: 10.1109/access.2023.3237864
Abstract: A rigid body motion, which can be decomposed into rotation and translation, is essential for engineers and scientists who deal with moving systems in a space. While translation is as simple as vector addition, rotation… read more here.
Keywords: angles unit; dimensional space; rotation representations; rotation ... See more keywords
A GPU-Aware Parallel Index for Processing High-Dimensional Big Data
Sign Up to like & getrecommendations! Published in 2018 at "IEEE Transactions on Computers"
DOI: 10.1109/tc.2018.2823760
Abstract: The problem of the curse of dimensionality for processing large high-dimensional datasets has been an open challenge. Numerous research efforts have been proposed for improving query performance in high-dimensional space through hierarchical indexing using the… read more here.
Keywords: aware parallel; high dimensional; index; gpu aware ... See more keywords
Cherenkov FEL Reaction With Plasma-Filled Cylindrical Waveguide in Fractional D-Dimensional Space
Sign Up to like & getrecommendations! Published in 2021 at "IEEE Transactions on Plasma Science"
DOI: 10.1109/tps.2021.3084904
Abstract: The possibility of generating an electromagnetic (EM) wave by a free-electron laser (FEL) beam from the Cherenkov device to control the cylindrical waveguide’s field attenuation filled with plasma has been investigated by analytical formalism. This… read more here.
Keywords: cylindrical waveguide; fractional dimensional; cherenkov fel; dimensional space ... See more keywords