Link prediction with hyperbolic geometry [PDF]
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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THE COMMON EVOLUTION OF GEOMETRY AND ARCHITECTURE FROM A GEODETIC POINT OF VIEW [PDF]
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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Evolution of cortical geometry and its link to function, behaviour and ecology
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]
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]
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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Centerpoints: A Link between Optimization and Convex Geometry [PDF]
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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ANALYSIS OF FRACTURE GEOMETRY IN FLUID DRAINAGE AFTER HYDRAULIC FRACTURING. CASE OF WINK MS-09 IN MAKELEKESE FIELD, D.R. CONGO [PDF]
In this paper, we analyze stimulation by hydraulic fracturing with the aim of establishing a relationship between fracture geometry and hydrocarbon drainage.
Rachidi Opuluku +5 more
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Numerical study on the behavior of link-to-column connections in eccentrically braced frames [PDF]
Geometry of eccentrically braced frames (EBFs) in some cases causes the connection of link beam to the column. The details of such conditions should be studied carefully due to the full plastic rotation in the link beam. In this research, the behavior of
Fakhredin Danesh, Mohammad ali Faridalam
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Investigation and analysis of the linear dimensions of the flexible manipulator section in the process of tilting [PDF]
A feature of the functioning of such a device is a change in the position of each of the sections. The study of the peculiarities of changing the position of the link is an important task.
Semenov Konstantin +3 more
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