Results 1 to 10 of about 1,545 (159)
Link prediction with hyperbolic geometry [PDF]
Physical Review Research, 2020 Link prediction is a paradigmatic problem in network science with a variety of applications. In latent space network models this problem boils down to ranking pairs of nodes in the order of increasing latent distances between them. The network model with
Maksim Kitsak +2 more
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Helicity, linking, and writhe in a spherical geometry
Journal of Physics: Conference Series, 2014 Linking numbers, helicity integrals, twist, and writhe all describe the topology and geometry of curves and vector fields. The topology of the space the curves and fields live in, however, can affect the behaviour of these quantities. Here we examine curves and fields living in regions exterior to a sphere or in spherical shells.
Jack Robert Campbell, Mitchell A. Berger
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Decomposition of Kolmogorov Complexity And Link To Geometry [PDF]
, 2012 A link between Kolmogorov Complexity and geometry is uncovered. A similar concept of projection and vector decomposition is described for Kolmogorov Complexity. By using a simple approximation to the Kolmogorov Complexity, coded in Mathematica, the derived formulas are tested and used to study the geometry of Light Cone.
Dara O. Shayda
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Application of hyperbolic geometry in link prediction of multiplex networks [PDF]
Scientific Reports, 2019 AbstractRecently multilayer networks are introduced to model real systems. In these models the individuals make connection in multiple layers. Transportation networks, biological systems and social networks are some examples of multilayer networks.
Zeynab Samei, Mahdi Jalili
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WAYS OF LINKING GEOMETRY AND ALGEBRA: THE CASE OF GEOGEBRA [PDF]
, 2007 This paper discusses ways of enhancing the teaching of mathematics through enabling learners to gain stronger links between geometry and algebra. The vehicle for this is consideration of the affordances of GeoGebra, a form of freely-available open-source software that provides a versatile tool for visualising mathematical ideas from elementary through ...
Markus Hohenwarter, Keith Jones
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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
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Centerpoints: A Link between Optimization and Convex Geometry [PDF]
SIAM Journal on Optimization, 2016 We introduce a concept that generalizes several different notions of a "centerpoint" in the literature. We develop an oracle-based algorithm for convex mixed-integer optimization based on centerpoints. Further, we show that algorithms based on centerpoints are "best possible" in a certain sense.
Basu, Amitabh, Oertel, Timm
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Evolution of cortical geometry and its link to function, behaviour and ecology
Nature Communications, 2023 Studies in comparative neuroanatomy and of the fossil record demonstrate the influence of socio-ecological niches on the morphology of the cerebral cortex, but have led to oftentimes conflicting theories about its evolution.
Ernst Schwartz +8 more
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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
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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.
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