Results 11 to 20 of about 66,871 (307)
TWIST-SPUN KNOTS OF TWIST-SPUN KNOTS OF CLASSICAL KNOTS
A k-twist-spun knot is an (n+1)-dimensional knot in the (n+3)-dimensional sphere that is obtained from an n-dimensional knot in the (n+2)-dimensional sphere by applying an operation called a k-twist-spinning.
Mizuki Fukuda, Masaharu Ishikawa
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Scouting Knots Are Not the Same Knots When Knotted
Knots are used everyday by all people, mathematicians and non-mathematicians alike. There are certain subsets of people that use knots more frequently than others such as sailors or members of the Scouting Movement.
Sanchez, Andres
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Knots and Knot-Hyperpaths in Hypergraphs [PDF]
This paper deals with some theoretical aspects of hypergraphs related to hyperpaths and hypertrees. In ordinary graph theory, the intersecting or adjacent edges contain exactly one vertex; however, in the case of hypergraph theory, the adjacent or intersecting hyperedges may contain more than one vertex. This fact leads to the intuitive notion of knots,
Saifur Rahman +3 more
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FIBERED KNOTS AND VIRTUAL KNOTS [PDF]
We introduce a new technique for studying classical knots with the methods of virtual knot theory. Let K be a knot and J be a knot in the complement of K with lk (J, K) = 0. Suppose there is covering space [Formula: see text], where V(J) is a regular neighborhood of J satisfying V(J) ∩ im (K) = ∅ and Σ is a connected compact orientable 2-manifold.
Chrisman M.W., Manturov V.O.
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Subknots in ideal knots, random knots and knotted proteins [PDF]
AbstractWe introduce disk matrices which encode the knotting of all subchains in circular knot configurations. The disk matrices allow us to dissect circular knots into their subknots, i.e. knot types formed by subchains of the global knot. The identification of subknots is based on the study of linear chains in which a knot type is associated to the ...
Rawdon, Eric J. +2 more
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More knots in knots: A study of classical knot diagrams [PDF]
The structure of classical minimal prime knot presentations suggests that there are often, perhaps always, subsegments that present either the trefoil or the figure-eight knot. A comprehensive study of the subknots of the minimal prime knot presentations through 15 crossings shows that this is always the case for these knot presentations.
Millett, Kenneth C, Rich, Alex
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This study presents opportunities for the utilization of timber by-products with defects for manufacturing engineered wood panels. Three gluing methods were proposed for this waste raw material derived from Scots pine (Pinus sylvestris L.) wood.
Daniel Koynov +3 more
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To Knot or Not to Knot? Sutureless Haemostasis Compared to the Surgeon's Knot [PDF]
INTRODUCTION The aim of this study was to carry out an independent evaluation of the efficacy and security of a number of vessel ligation devices and ligatures. MATERIALS AND METHODS A vascular ligation model was devised using fresh, ex vivo porcine internal carotid arteries of varying external diameters.
K, Rajbabu +3 more
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Scale and intensity of intertidal habitat use by knots Calidris canutus in the Western Wadden Sea in relation to food, friends and foes [PDF]
In August-October 1988-1992 we studied the distribution and abundance of knots Calidris canutus around Griend in the western Wadden Sea, and the extent to which these can be explained by benthic prey availability and presence of avian predators.
Wolf, Pim +14 more
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Knotting trivial knots and resulting knot types [PDF]
Let \((V,K)\) be a pattern (i.e. \(V\) is a standardly embedded solid torus in oriented \(S^ 3\) and \(K\) a knot in \(V\)) and \(f\) an orientation preserving embedding from \(V\) into \(S^ 3\) such that \(f(V)\) is knotted. Answers to the following questions are given depending upon whether the winding number of \(K_ 2\) in \(V\) is zero or not.
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