Results 1 to 10 of about 412,412 (307)
Riemannian Geometry and Molecular Similarity II: Kähler Quantization [PDF]
Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 2023 Shape similarity between molecules is a concept used by chemists for virtual screening, with the goal of reducing the cost and duration of drug discovery campaigns. This paper reports an entirely novel shape descriptor as an alternative to the previously described descriptors (Hall et al.
Daniel J. Cole +3 more
openalex +3 more sources
PLoS ONE, 2014 The automatic detection and tracking of human eyes and, in particular, the precise localization of their centers (pupils), is a widely debated topic in the international scientific community.
Marco Leo +3 more
doaj +3 more sources
Quantifying similarity of pore-geometry in nanoporous materials [PDF]
Nature Communications, 2017 Pore structure plays an important role in dictating gas storage performance for nanoporous materials. Here, Smit and colleagues develop a topological approach to quantify pore structure similarity, and exploit the resulting descriptor to screen for ...
Yongjin Lee +5 more
doaj +7 more sources
Similarity-Projection Structures: The Logical Geometry of Quantum Physics [PDF]
International Journal of Theoretical Physics, 2008 Similarity-Projection structures abstract the numerical properties of real scalar product of rays and projections in Hilbert spaces to provide a more general framework for Quantum Physics. They are characterized by properties that possess direct physical meaning.
Daniel Lehmann
openalex +6 more sources
Log-Aesthetic Curves: Similarity Geometry, Integrable Discretization and Variational Principles [PDF]
Computer Aided Geometric Design, 2018 In this paper, we consider a class of plane curves called log-aesthetic curves and their generalization which are used in computer aided geometric design. We consider these curves in the framework of the similarity geometry and characterize them as invariant curves under the integrable flow on plane curves which is governed by the Burgers equation.
Jun-ichi Inoguchı +4 more
openalex +4 more sources
Similarity of operators and geometry of eigenvector bundles [PDF]
Publicacions Matemàtiques, 2009 18 ...
Hyun‐Kyoung Kwon, Sergei Treil
+11 more sources
Communications Biology, 2022 Analysis of functional MRI data from the Human Connectome Project reveals the presence of a cortical gradient, which reflects functional topology and links the macroscale functional landscape with mesoscale laminar differentiation principles.
Yao Meng +6 more
doaj +2 more sources
Analysing Textbook Treatment of Similarity in Plane Geometry
Annales de Didactique et de Sciences Cognitives, 2019 This study presents a specific analysis of the treatment of the topic “similarity” by several college textbooks, in this case six Indonesian textbooks. The choice of this mathematical topic is justified by the fact that it requires in the activity of the
Dyana Wijayanti
doaj +2 more sources
Log-Aesthetic Curves and Similarity Geometry
International Journal of Automation TechnologyThis paper delves into the recent advancements of log-aesthetic curves (LAC), a family of curves for industrial design. Recently it has been redefined in the context of similarity geometry, a branch of Klein geometry. Building upon the work of Miura and Gobithaasan [1], the paper explores LAC properties, delves into the connection with similarity ...
Kenjiro T. Miura, R. U. Gobithaasan
openalex +2 more sources
Mathematics, 2021 The topic of similarity plays an essential role in developing students’ deductive reasoning. However, knowing how to teach similarity and understanding how to incorporate deductive reasoning and proof along with plane geometry remain a challenge to both ...
Qiao-Ping Zhang, Ngai-Ying Wong
doaj +1 more source