prime knot

См. также в других словарях:

• 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

• Prime number — Prime redirects here. For other uses, see Prime (disambiguation). A prime number (or a prime) is a natural number greater than 1 that has no positive divisors other than 1 and itself. A natural number greater than 1 that is not a prime number is… …   Wikipedia

• Prime — can refer to: * Prime number, an integer greater than 1 which is only divisible by 1 and itself * Prime (symbol), the ′ mark ** 3′ end and 5′ end ( three prime end , five prime end ) in biochemistry * Prime (liturgy), a liturgical office (service …   Wikipedia

• Knot (mathematics) — A table of all prime knots with seven crossings or fewer (not including mirror images). In mathematics, a knot is an embedding of a circle in 3 dimensional Euclidean space, R3, considered up to continuous deformations (isotopies). A crucial… …   Wikipedia

• Knot tabulation — Ever since Sir William Thomson s vortex theory, mathematicians have tired to classify and tabulate all possible knots. As of May 2008 all prime knots up to 16 crossings have been tabulated.BeginningsIn an attempt to make a periodic table of the… …   Wikipedia

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

• List of knot theory topics — Knot theory is the study of mathematical knots. While inspired by knots which appear in daily life in shoelaces and rope, a mathematician s knot differs in that the ends are joined together so that it cannot be undone. In precise mathematical… …   Wikipedia

• knot theory — ▪ mathematics       in mathematics, the study of closed curves in three dimensions, and their possible deformations without one part cutting through another. Knots may be regarded as formed by interlacing and looping a piece of string in any… …   Universalium

• Knot complement — In mathematics, the knot complement of a tame knot K is the set theoretic complement of the interior of the embedding of a solid torus into the 3 sphere. This solid torus is a thickened neighborhood of K . Note that the knot complement is a… …   Wikipedia

• Torus knot — In knot theory, a torus knot is a special kind of knot which lies on the surface of an unknotted torus in R3. Similarly, a torus link is a link which lies on the surface of a torus in the same way. Each torus knot is specified by a pair of… …   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