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• Unknot (category 3 stick number knots and links)
  joints at their endpoints. The stick number is the minimal number of segments needed to represent a knot as a linkage, and a stuck unknot is a particular
  5 KB (560 words) - 19:08, 6 February 2024
• Knot theory (category Knot theory) (section Adding knots)
  over 6 billion knots and links (Hoste 2005). The sequence of the number of prime knots of a given crossing number, up to crossing number 16, is 0, 0, 1
  48 KB (6,198 words) - 19:12, 6 February 2024
• Borromean rings (category 9 stick number knots and links) (section Number theory)
  In the tables of knots and links in Dale Rolfsen's 1976 book Knots and Links, extending earlier listings in the 1920s by Alexander and Briggs, the Borromean
  42 KB (4,468 words) - 20:52, 8 February 2024
• Figure-eight knot (mathematics) (category 3 braid number knots and links)
  Unique knot with a crossing number of four In knot theory, a figure-eight knot (also called Listing's knot) is the unique knot with a crossing number of four
  9 KB (986 words) - 18:54, 6 February 2024
• Multivariate adaptive regression splines (category Wikipedia external links cleanup from October 2016) (section Pros and cons)
  (NumberOfMarsTerms - 1 ) / 2 is the number of hinge-function knots, so the formula penalizes the addition of knots. Thus the GCV formula adjusts (i.e. increases) the training
  22 KB (3,155 words) - 11:29, 8 March 2021
• Stick number (category Knot invariants)
  for any nontrivial knot. There are few knots whose stick number can be determined exactly. Gyo Taek Jin determined the stick number of a [math]\displaystyle{
  5 KB (546 words) - 18:55, 8 February 2024
• Link (knot theory) (section Tangles, string links, and braids)
  linked (or knotted) together. A knot can be described as a link with one component. Links and knots are studied in a branch of mathematics called knot theory
  8 KB (1,104 words) - 22:45, 6 February 2024
• Crossing number (knot theory) (category Knot invariants)
  to crossing number. Other numerical knot invariants include the bridge number, linking number, stick number, and unknotting number. "On Knots I, II, III′"
  5 KB (565 words) - 22:45, 6 February 2024
• Knot invariant (category Knot invariants)
  invariant) Stick number – Smallest number of edges of an equivalent polygonal path for a knot Schultens, Jennifer (2014). Introduction to 3-manifolds,
  10 KB (1,266 words) - 00:08, 7 February 2024
• Prime knot (category Knot invariants)
  non-trivial knot which cannot be written as the knot sum of two non-trivial knots. Knots that are not prime are said to be composite knots or composite
  3 KB (288 words) - 21:40, 6 February 2024
• (−2,3,7) pretzel knot (category 2 crosscap number knots and links)
  The (−2, 3, 7) pretzel knot has 7 exceptional slopes, Dehn surgery slopes which give non-hyperbolic 3-manifolds. Among the enumerated knots, the only
  2 KB (138 words) - 20:13, 6 February 2024
• Alternating knot (category Knot invariants)
  Alternating links end up having an important role in knot theory and 3-manifold theory, due to their complements having useful and interesting geometric and topological
  6 KB (693 words) - 16:41, 6 February 2024
• Bridge number (category Knot invariants)
  the bridge numbers of K1 and K2. Crossing number Linking number Stick number Unknotting number Adams, Colin C. (1994), The Knot Book, American Mathematical
  3 KB (366 words) - 22:55, 6 February 2024
• Whitehead link (category 3 braid number knots and links)
  towards the linking number. Because the remaining crossings have equal numbers of under and over crossings on each loop, its linking number is 0. It is not
  6 KB (622 words) - 16:01, 6 February 2024
• Jones polynomial (category Knot theory) (section Link with quantum knot invariants)
  constructed a certain chain complex for knots and links and showed that the homology induced from it is a knot invariant (see Khovanov homology). The Jones
  17 KB (2,344 words) - 19:41, 6 February 2024
• Conway notation (knot theory) (category Knot theory)
  mi.sanu.ac.rs. "Conway Notation", The Knot Atlas. Conway, J.H. (1970). "An Enumeration of Knots and Links, and Some of Their Algebraic Properties". in
  3 KB (363 words) - 20:07, 6 February 2024
• Tait conjectures (category Knot theory) (section Crossing number of alternating knots)
  to all knots, or just to alternating knots. It turns out that most of them are only true for alternating knots. In the Tait conjectures, a knot diagram
  6 KB (672 words) - 14:48, 6 February 2024
• Unknotting number (category Knot invariants) (section Other numerical knot invariants)
  determined. (The unknotting number of the 1011 prime knot is unknown.) Crossing number Bridge number Linking number Stick number Unknotting problem Adams
  4 KB (379 words) - 22:25, 6 February 2024
• 2-bridge knot (category Knot theory)
  nontrivial knot. Other names for 2-bridge knots are rational knots, 4-plats, and Viergeflechte for 'four braids'. 2-bridge links are defined similarly as above
  3 KB (302 words) - 15:24, 6 February 2024
• Hyperbolic volume (category Knot theory) (section Knot and link invariant)
  complement is a knot invariant. In order to make it well-defined for all knots or links, the hyperbolic volume of a non-hyperbolic knot or link is often
  6 KB (626 words) - 21:17, 6 February 2024

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