TOPOLOGICAL STRUCTURE OF VORTEX LINES OF QUANTUM ELECTRON PLASMAS IN THREE-DIMENSIONAL SPACE

2009 ◽  
Vol 23 (11) ◽  
pp. 2439-2447
Author(s):  
XUGUANG SHI ◽  
YISHI DUAN

The topological properties of quantum electron plasmas in three-dimensional space are presented. Starting from ϕ-mapping topological current theory, the vortex lines are just at the core of wave function obtained. It is shown that the vorticity of the vortex can be expressed by the Hopf index and the Brouwer degree. We find that the vortex lines are unstable in some conditions and the evolution of vortex lines at the bifurcation points is given.

2021 ◽  
Author(s):  
Taraneh Korkmaz

This paper follows the blurriness of the concept of difference as it relates to the Canadian idea of diversity, and its manifestation in governmental forms and official documents. It highlights the paradoxical (inconsistent) function of such documents in addressing diversity, individuation and change. This research was informed by the concept of difference, defined (interpreted) by Manuel DeLanda, and is expressed in a multimedia installation titled Illegal Entries, which reconfigures the Canadian Passport Application form (PPTC 153-154) as a three-dimensional space. This installation shows viewers that this official document, which operates to legitimize state power over citizens’ bodies, is designed to undermine the concept of difference, which is at the core of individuation and is the backbone of diversity and multiculturalism in Canada. This paper provides an account of how a document is transformed into a documentary. The installation creates a bilingual, audio-visual conundrum that consists of institutional texts, commands and warnings. This is juxtaposed with animated graphics, icons and shapes that appear in the document in addition to the image of the passport ID photograph.


2013 ◽  
Vol 36 (5) ◽  
pp. 571-587 ◽  
Author(s):  
Kathryn J. Jeffery ◽  
Aleksandar Jovalekic ◽  
Madeleine Verriotis ◽  
Robin Hayman

AbstractWe have argued that the neurocognitive representation of large-scale, navigable three-dimensional space is anisotropic, having different properties in vertical versus horizontal dimensions. Three broad categories organize the experimental and theoretical issues raised by the commentators: (1) frames of reference, (2) comparative cognition, and (3) the role of experience. These categories contain the core of a research program to show how three-dimensional space is represented and used by humans and other animals.


2021 ◽  
Author(s):  
Taraneh Korkmaz

This paper follows the blurriness of the concept of difference as it relates to the Canadian idea of diversity, and its manifestation in governmental forms and official documents. It highlights the paradoxical (inconsistent) function of such documents in addressing diversity, individuation and change. This research was informed by the concept of difference, defined (interpreted) by Manuel DeLanda, and is expressed in a multimedia installation titled Illegal Entries, which reconfigures the Canadian Passport Application form (PPTC 153-154) as a three-dimensional space. This installation shows viewers that this official document, which operates to legitimize state power over citizens’ bodies, is designed to undermine the concept of difference, which is at the core of individuation and is the backbone of diversity and multiculturalism in Canada. This paper provides an account of how a document is transformed into a documentary. The installation creates a bilingual, audio-visual conundrum that consists of institutional texts, commands and warnings. This is juxtaposed with animated graphics, icons and shapes that appear in the document in addition to the image of the passport ID photograph.


1997 ◽  
Vol 84 (1) ◽  
pp. 176-178
Author(s):  
Frank O'Brien

The author's population density index ( PDI) model is extended to three-dimensional distributions. A derived formula is presented that allows for the calculation of the lower and upper bounds of density in three-dimensional space for any finite lattice.


2019 ◽  
Author(s):  
Jumpei Morimoto ◽  
Yasuhiro Fukuda ◽  
Takumu Watanabe ◽  
Daisuke Kuroda ◽  
Kouhei Tsumoto ◽  
...  

<div> <div> <div> <p>“Peptoids” was proposed, over decades ago, as a term describing analogs of peptides that exhibit better physicochemical and pharmacokinetic properties than peptides. Oligo-(N-substituted glycines) (oligo-NSG) was previously proposed as a peptoid due to its high proteolytic resistance and membrane permeability. However, oligo-NSG is conformationally flexible and is difficult to achieve a defined shape in water. This conformational flexibility is severely limiting biological application of oligo-NSG. Here, we propose oligo-(N-substituted alanines) (oligo-NSA) as a new peptoid that forms a defined shape in water. A synthetic method established in this study enabled the first isolation and conformational study of optically pure oligo-NSA. Computational simulations, crystallographic studies and spectroscopic analysis demonstrated the well-defined extended shape of oligo-NSA realized by backbone steric effects. The new class of peptoid achieves the constrained conformation without any assistance of N-substituents and serves as an ideal scaffold for displaying functional groups in well-defined three-dimensional space, which leads to effective biomolecular recognition. </p> </div> </div> </div>


Author(s):  
Raimo Hartmann ◽  
Hannah Jeckel ◽  
Eric Jelli ◽  
Praveen K. Singh ◽  
Sanika Vaidya ◽  
...  

AbstractBiofilms are microbial communities that represent a highly abundant form of microbial life on Earth. Inside biofilms, phenotypic and genotypic variations occur in three-dimensional space and time; microscopy and quantitative image analysis are therefore crucial for elucidating their functions. Here, we present BiofilmQ—a comprehensive image cytometry software tool for the automated and high-throughput quantification, analysis and visualization of numerous biofilm-internal and whole-biofilm properties in three-dimensional space and time.


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