Results 21 to 30 of about 520,948 (231)

Rational linking and contact geometry [PDF]

open access: green, 2009
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 ...
Kenneth L. Baker, John B. Etnyre
openalex   +3 more sources

Decomposition of Kolmogorov Complexity And Link To Geometry

open access: green, 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
openalex   +4 more sources

THE COMMON EVOLUTION OF GEOMETRY AND ARCHITECTURE FROM A GEODETIC POINT OF VIEW [PDF]

open access: yesThe 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

Geometry of alternating links on surfaces

open access: yesTransactions of the American Mathematical Society, 2020
We consider links that are alternating on surfaces embedded in a compact 3-manifold. We show that under mild restrictions, the complement of the link decomposes into simpler pieces, generalising the polyhedral decomposition of alternating links of Menasco.
Joshua A. Howie   +2 more
openaire   +3 more sources

3D STRUCTURE ANALYSIS: ARCHITECTURE AS AN EXPRESSION OF THE TIES BETWEEN GEOMETRY AND PHILOSOPHY [PDF]

open access: yesThe 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

Centerpoints: A Link between Optimization and Convex Geometry [PDF]

open access: yesSIAM 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.
Amitabh Basu, Timm Oertel
openaire   +6 more sources

Algebra and geometry of link homology

open access: yes, 2021
49 ...
Gorsky, Eugene   +2 more
openaire   +2 more sources

D-branes in Kazama-Suzuki Models [PDF]

open access: yes, 1997
We investigate boundary states of D-branes wrapped around supersymmetric cycles in Kazama--Suzuki models. We show that the geometry of the D-branes corresponds to a generalisation of calibrated geometry.
Acharya   +25 more
core   +4 more sources

Numerical study on the behavior of link-to-column connections in eccentrically braced frames [PDF]

open access: yesNumerical Methods in Civil Engineering, 2014
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
doaj   +1 more source

Geometry of biperiodic alternating links

open access: yesJournal of the London Mathematical Society, 2018
A biperiodic alternating link has an alternating quotient link in the thickened torus. In this paper, we focus on semi-regular links, a class of biperiodic alternating links whose hyperbolic structure can be immediately determined from a corresponding Euclidean tiling. Consequently, we determine the exact volumes of semi-regular links.
Abhijit Champanerkar   +2 more
openaire   +4 more sources

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