View example sentences, synonyms and word forms for Unknot.
Unknot
Unknot meaning
In knot theory, a loop that is not knotted.
Example sentences (5)
An unknot is the identity element with respect to the knot sum operation.
Currently there are several well-known unknot recognition algorithms (not using invariants), but they are either known to be inefficient or have no efficient implementation.
For instance, the Alexander polynomial can be used to distinguish the trefoil knot from the figure-eight knot and the unknot (a simple loop).
Intuitively, the unknot is a closed loop of rope without a knot in it.
It is an open problem whether any non-trivial knot has the same Jones polynomial as the unknot.