Results 21 to 30 of about 33,620 (82)

Unsupervised Machine Learning and Band Topology. [PDF]

Physical Review Letters, 2020
The study of topological band structures is an active area of research in condensed matter physics and beyond. Here, we combine recent progress in this field with developments in machine learning, another rising topic of interest.
M. Scheurer, Robert-Jan Slager
semanticscholar   +1 more source

Digital Experiences of Mathematical Cognitive Functions in Learning the Basic Concepts of General Topology

International Journal of Research in Undergraduate Mathematics Education
This paper aims at defining and exploring design principles in a distance technological setting for an educational activity for mathematics undergraduate students, devoted to the construction of basic concepts in general topology, the promotion of ...
G. Albano, Samuele Antonini, Annamaria Miranda   +2 more
semanticscholar   +1 more source

Bogoliubov Fermi surfaces: General theory, magnetic order, and topology [PDF]

Physical review B, 2018
The authors present a general theory for Fermi surfaces of Bogoliubov quasiparticles in superconductors with broken time-reversal symmetry. These Fermi surfaces form two-dimensional nodes of the superconducting gap, which are unique to pairing states ...
P. Brydon, D. Agterberg, H. Menke, C. Timm   +3 more
semanticscholar   +1 more source

Atiyah-Hirzebruch spectral sequence in band topology: General formalism and topological invariants for 230 space groups [PDF]

Physical review B, 2018
We study the Atiyah-Hirzebruch spectral sequence (AHSS) for equivariant K-theory in the context of band theory. Various notions in the band theory such as irreducible representations at high-symmetric points, the compatibility relation, topological ...
Ken Shiozaki, M. Sato, Kiyonori Gomi
semanticscholar   +1 more source

Topology Optimization for Electromagnetics: A Survey

IEEE Access, 2022
The development of technologies for the additive manufacturing, in particular of metallic materials, is offering the possibility of producing parts with complex geometries.
F. Lucchini, R. Torchio, V. Cirimele, P. Alotto, P. Bettini   +4 more
semanticscholar   +1 more source

Convergence and quantale-enriched categories [PDF]

, 2017
Generalising Nachbin's theory of "topology and order", in this paper we continue the study of quantale-enriched categories equipped with a compact Hausdorff topology.
Hofmann, Dirk, Reis, Carla
core   +2 more sources

Topology optimization of multi-material active structures to reduce energy consumption and carbon footprint

Structural And Multidisciplinary Optimization
A multi-material active structure is a mechanical system made of passive and active materials with the ability to alter its configuration, form, or properties in response to changes in the environment.
Yafeng Wang, Ole Sigmund
semanticscholar   +1 more source

Impact of Network Topology on the Resilience of Vehicle Platoons

IEEE transactions on intelligent transportation systems (Print), 2022
This paper presents a comprehensive study on the impact of information flow topologies on the resilience of distributed algorithms that are widely used for estimation and control in vehicle platoons.
Mohammad Pirani, S. Baldi, K. Johansson
semanticscholar   +1 more source

On certain families of planar patterns and fractals

, 2017
This survey article is dedicated to some families of fractals that were introduced and studied during the last decade, more precisely, families of Sierpi\'nski carpets: limit net sets, generalised Sierpi\'nski carpets and labyrinth fractals.
Cristea, Ligia L.
core   +1 more source

On paratopological groups [PDF]

, 2013
In this paper, we firstly construct a Hausdorff non-submetrizable paratopological group $G$ in which every point is a $G_{\delta}$-set, which gives a negative answer to Arhangel'ski\v{\i}\ and Tkachenko's question [Topological Groups and Related ...
Lin, Fucai, Liu, Chuan
core