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mathematical theory of knots, the unknot, not knot, or trivial knot, is the least knotted of all knots. Intuitively, the unknot is a closed loop of rope without...5 KB (572 words) - 20:30, 30 November 2023
are joined so it cannot be undone, the simplest knot being a ring (or "unknot"). In mathematical language, a knot is an embedding of a circle in 3-dimensional...49 KB (6,290 words) - 09:32, 15 May 2024- curvature is less than or equal to 4π, then K is an unknot, i.e.: If ∮ K | κ ( s ) | d s ≤ 4 π , then K is an unknot . {\displaystyle {\text{If}}\...4 KB (412 words) - 22:51, 17 October 2022
possible to "untie" a trefoil knot in three dimensions without cutting it. Mathematically, this means that a trefoil knot is not isotopic to the unknot. In...9 KB (1,239 words) - 08:07, 2 November 2023
(King Crimson album) knotwork (Discipline Global Mobile logo) Endless knot (unknot) Eternity knot Fan knot Fiador knot Flat mat knot Flores button knot Friendship...4 KB (436 words) - 10:17, 27 July 2023- stuck unknot is a closed polygonal chain in three-dimensional space (a skew polygon) that is topologically equal to the unknot but cannot be deformed to a...1 KB (168 words) - 21:16, 17 July 2023
- Jones polynomial (section Detection of the unknot)representations, leading to "generalized Jones invariants". The Jones polynomial is characterized by taking the value 1 on any diagram of the unknot and satisfies...17 KB (2,339 words) - 22:47, 26 October 2023
It is possible to associate surfaces to knots which are not oriented nor orientable, as well. The standard Möbius strip has the unknot for a boundary...10 KB (1,356 words) - 08:21, 21 October 2023
Unsolved problem in mathematics: Can unknots be recognized in polynomial time? (more unsolved problems in mathematics) In mathematics, the unknotting...12 KB (1,374 words) - 08:36, 28 May 2024
neighborhood N are homeomorphic to a two-torus. Sometimes the ambient manifold M is understood to be the 3-sphere. Context is needed to determine the usage. There...3 KB (275 words) - 00:23, 24 October 2023- limited edition BD includes the Tokyo performance of the one-man tour "UNKNOT/REKNOT" held at Zepp DiverCity (Tokyo) on October 15, 2022. At the same...15 KB (1,236 words) - 12:04, 30 May 2024
- further negative supercoiling like the latter enzyme. Topoisomerase IV can unknot right-handed knots and decatenate right-handed catenanes without acting...3 KB (375 words) - 21:08, 29 March 2021
Homotopy (category Articles containing Ancient Greek (to 1453)-language text)branch of mathematics, two continuous functions from one topological space to another are called homotopic (from Ancient Greek: ὁμός homós "same, similar"...23 KB (3,271 words) - 22:02, 11 February 2024
simplest knot, called the unknot or trivial knot, is a round circle embedded in R3. In the ordinary sense of the word, the unknot is not "knotted" at all...23 KB (2,508 words) - 21:20, 11 January 2024- gives the unknot and, again, the Hopf link. Patching the Hopf link P() = A × P() + P() gives a link with 0 crossings (unlink) and an unknot. The unlink...8 KB (931 words) - 20:32, 11 February 2024
- and used this to show that Khovanov Homology (like the instanton knot Floer homology) detects the unknot. Khovanov homology is related to the representation...11 KB (1,464 words) - 23:17, 22 May 2024
to circles. The simplest nontrivial example of a link with more than one component is called the Hopf link, which consists of two circles (or unknots)...8 KB (1,107 words) - 01:03, 25 April 2024- links. See also list of knots, list of geometric topology topics. 01 knot/Unknot - a simple un-knotted closed loop 31 knot/Trefoil knot - (2,3)-torus knot...3 KB (421 words) - 23:35, 12 September 2023
the ends together. (That is, a twist knot is any Whitehead double of an unknot.) The twist knots are an infinite family of knots, and are considered the...3 KB (466 words) - 05:58, 4 August 2021- showed that the skein relation together with a choice of value on the unknot was enough to determine the polynomial. Conway's version is a polynomial in z with...17 KB (2,611 words) - 05:21, 29 May 2024
- unknot (plural unknots) (mathematics) In knot theory, a loop that is not knotted. unknot (third-person singular simple present unknots, present participle
- hard to free myself." "And I tried, too," added Sam. "But I couldn't budge a single knot." "We could not unknot the knots," added Tom, who was bound to have
- it is God who through his cataclysms unknots the equilibrium of terror in which humans are imprisoned. Closer to us, this is what terrorism is occupied
- ambient space R3{\displaystyle \mathbb {R} ^{3}}. The most basic knot is the unknot, which is essentially just a circle ◯{\displaystyle \bigcirc } (we will