In knot theory, a virtual knot is a generalization of the classical idea of knots in several ways that are all equivalent, introduced by Kauffman (1999).
Other articles related to "virtual knot, knots, knot, virtual":
... In the theory of classical knots, knots can be considered equivalence classes of knot diagrams under the Reidemeister moves ... Likewise a virtual knot can be considered an equivalence of virtual knot diagrams that are equivalent under generalized Reidemeister moves ... A virtual knot diagram is a 4-valent planar graph, but each vertex is now allowed to be a classical crossing or a new type called virtual ...
Famous quotes containing the words knot and/or virtual:
“A fretful temper will divide
The closest knot that may be tied,
By ceaseless sharp corrosion;
A temper passionate and fierce
May suddenly your joys disperse
At one immense explosion.”
—William Cowper (17311800)
“Tragedy dramatizes human life as potentiality and fulfillment. Its virtual future, or Destiny, is therefore quite different from that created in comedy. Comic Destiny is Fortunewhat the world will bring, and the man will take or miss, encounter or escape; tragic Destiny is what the man brings, and the world will demand of him. That is his Fate.”
—Susanne K. Langer (18951985)