Results 11 to 20 of about 2,364,715 (303)
Linking Geometry and Algebra in the School Mathematics Curriculum [PDF]
, 2010 This chapter focuses on the linking of geometry and algebra in the teaching and learning of mathematics - and how, through such linking, the mathematics curriculum might be strengthened. Through reviewing the case of the school mathematics curriculum in England, together with examples of how the power of geometry can bring contemporary mathematics to ...
Jones, Keith
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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.
Amitabh Basu, Timm Oertel
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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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Geometry of biperiodic alternating links
Journal 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
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Canonical triangulations of Dehn fillings [PDF]
, 2010 Every cusped, finite-volume hyperbolic three-manifold has a canonical decomposition into ideal polyhedra. We study the canonical decomposition of the hyperbolic manifold obtained by filling some (but not all) of the cusps with solid tori: in a broad ...
Schleimer, Saul, Guéritaud, François
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Inverse kinematic analysis for triple-octahedron variable-geometry truss manipulators [PDF]
, 2001 In this paper, a new triple-octahedron variable-geometry truss manipulator is presented. Its inverse kinematic solutions in closed form are studied. An input-output displacement equation in one output variable is derived.
Xu, L. J. +7 more
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, 2017 An important task in trajectory analysis is clustering. The results of a clustering are often summarized by a single representative trajectory and an associated size of each cluster. We study the problem of computing a suitable representative of a set of
Staals, F. +7 more
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Investigation and analysis of the linear dimensions of the flexible manipulator section in the process of tilting [PDF]
E3S Web of Conferences, 2023 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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New Journal of Physics, 2018 Advances in network geometry pointed out that structural properties observed in networks derived from real complex systems can emerge in the hyperbolic space (HS).
Muscoloni Alessandro +1 more
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