knot sequence

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• Knot theory — A three dimensional depiction of a thickened trefoil knot, the simplest non trivial knot …   Wikipedia

• Farey sequence — In mathematics, the Farey sequence of order n is the sequence of completely reduced fractions between 0 and 1 which, when in lowest terms, have denominators less than or equal to n , arranged in order of increasing size.Each Farey sequence starts …   Wikipedia

• Chiral knot — In the mathematical field of knot theory, a chiral knot is a knot that is not equivalent to its mirror image. An oriented knot that is equivalent to its mirror image is an amphichiral knot, also called an achiral knot or amphicheiral knot. The… …   Wikipedia

• Ducci sequence — A Ducci sequence is a sequence of n tuples of integers. Given an n tuple of integers (a1,a2,...,an), the next n tuple in the sequence is formed by taking the absolute differences of neighbouring integers: Another way of describing this is as… …   Wikipedia

• Invertible knot — In mathematics, especially in the area of topology known as knot theory, an invertible knot is a knot that can be continuously deformed to itself, but with its orientation reversed. A non invertible knot is any knot which does not have this… …   Wikipedia

• Beatty sequence — A (homogeneous) Beatty sequence mathcal{B} r, is a sequence formed by successive positive integer multiples of a positive irrational number r, rounded down to the nearest integer, so that the sequence:mathcal{B} r = lfloor r floor, lfloor 2r… …   Wikipedia

• Alternating knot — In knot theory, a link diagram is alternating if the crossings alternate under, over, under, over, as you travel along each component of the link. A link is alternating if it has an alternating diagram.Many of the knots with crossing number less… …   Wikipedia

• Prime knot — In knot theory, a prime knot is a knot that is, in a certain sense, indecomposable. Specifically, it is a 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. It can …   Wikipedia

• Arf invariant (knot) — In the mathematical field of knot theory, the Arf invariant of a knot, named after Cahit Arf, is a knot invariant obtained from a quadratic form associated to a Seifert surface. If F is a Seifert surface of a knot, then the homology group H1( F …   Wikipedia

• The Knot Garden — is an opera in three acts by Michael Tippett to an original English libretto by the composer. The work had its first performance at the Royal Opera House, Covent Garden, on December 2, 1970 conducted by Sir Colin Davis and produced by Sir Peter… …   Wikipedia

• Framed knot — In the mathematical theory of knots, a framed knot is the extension of a tame knot to an embedding of the solid torus D 2 times; S 1 in S 3.The framing of the knot is the linking number of the image of the ribbon I times; S 1 with the knot. As… …   Wikipedia