Results 21 to 30 of about 4,864,620 (366)
Geometry of Krylov complexity [PDF]
Physical Review Research, 2021 We develop a geometric approach to operator growth and Krylov complexity in many-body quantum systems governed by symmetries. We start by showing a direct link between a unitary evolution with the Liouvillian and the displacement operator of appropriate ...
Paweł Caputa +2 more
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Geometry Interaction Knowledge Graph Embeddings [PDF]
AAAI Conference on Artificial Intelligence, 2022 Knowledge graph (KG) embeddings have shown great power in learning representations of entities and relations for link prediction tasks. Previous work usually embeds KGs into a single geometric space such as Euclidean space (zero curved), hyperbolic space
Zongsheng Cao +4 more
semanticscholar +1 more source
Link homology theories from symplectic geometry [PDF]
Advances in Mathematics, 2006 47 pages, 6 figures; revised ...
Ciprian Manolescu
semanticscholar +4 more sources
Wiley Encyclopedia of Computer Science and Engineering, 2022 We compute the fundamental group of an algebraic link. To cite this article: O. Neto, P.C. Silva, C. R. Acad. Sci. Paris, Ser. I 340 (2005). 2004 Académie des sciences. Published by Elsevier SAS. All rights reserved.
David A. Cox
semanticscholar +1 more source
Nonhomogeneous Stochastic Geometry Analysis of Massive LEO Communication Constellations [PDF]
IEEE Transactions on Communications, 2021 Providing truly ubiquitous connectivity requires development of low Earth orbit (LEO) satellite Internet, whose theoretical study is lagging behind network-specific simulations.
N. Okati, T. Riihonen
semanticscholar +1 more source
THE COMMON EVOLUTION OF GEOMETRY AND ARCHITECTURE FROM A GEODETIC POINT OF VIEW [PDF]
The International Archives of the Photogrammetry, Remote Sensing and Spatial Information Sciences, 2017 Throughout history the link between geometry and architecture has been strong and while architects have used mathematics to construct their buildings, geometry has always been the essential tool allowing them to choose spatial shapes which are ...
T. Bellone, F. Fiermonte, L. Mussio
doaj +1 more source
3D STRUCTURE ANALYSIS: ARCHITECTURE AS AN EXPRESSION OF THE TIES BETWEEN GEOMETRY AND PHILOSOPHY [PDF]
The International Archives of the Photogrammetry, Remote Sensing and Spatial Information Sciences, 2019 In recent decades many Geomatics-based methods have been created to reconstruct and visualize objects, and these include digital photogrammetry, Lidar, remote sensing and hybrid techniques. The methods used to process such data are the result of research
T. Bellone, L. Mussio, C. Porporato
doaj +1 more source
Rational Linking and Contact Geometry [PDF]
, 2011 In the note we study Legendrian and transverse knots in rationally null-homologous knot types. In particular we generalize the standard definitions of self-linking number, Thurston-Bennequin invariant and rotation number. We then prove a version of Bennequin's inequality for these knots and classify precisely when the Bennequin bound is sharp for ...
Baker, Kenneth L., Etnyre, John B.
openaire +2 more sources
An Overview of Fractal Geometry Applied to Urban Planning
Land, 2022 Since computing advances in the last 30 years have allowed automated calculation of fractal dimensions, fractals have been established as ubiquitous signatures of urban form and socioeconomic function.
Fatemeh Jahanmiri, D. Parker
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The signature and cusp geometry of hyperbolic knots [PDF]
Geometry & Topology, 2021 We introduce a new real-valued invariant called the natural slope of a hyperbolic knot in the 3-sphere, which is defined in terms of its cusp geometry.
A. Davies +3 more
semanticscholar +1 more source