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unknot's Usage Examples:

mathematical theory of knots, the unknot, or trivial knot, is the least knotted of all knots.

Intuitively, the unknot is a closed loop of rope without.

together so that it cannot be undone, the simplest knot being a ring (or "unknot").

The crosscap number of the unknot is zero, as the Euler characteristic of the disk is one.

(That is, a twist knot is any Whitehead double of an unknot.

The Shakespeare knot, a type of decorative unknot, is a heraldic knot.

t ) = 1 {\displaystyle {\begin{aligned}P_{n}(unknot)'=q^{n-1}+q^{n-3}+\cdots +q^{1-n}''n>0\\P_{0}(unknot)'=1\end{aligned}}} For n > 0 {\displaystyle n>0}.

Unsolved problem in mathematics: Can unknots be recognized in polynomial time? (more unsolved problems in mathematics) In mathematics, the unknotting.

The Dacre knot, a type of decorative unknot, is a heraldic knot used primarily in English heraldry.

A heraldic knot (referred to in heraldry as simply a knot) is a knot, unknot, or design incorporating a knot used in European heraldry.

number of Reidemeister moves required to change a diagram of the unknot to the standard unknot.

the following properties: L ( O ) = 1 {\displaystyle L(O)=1} (O is the unknot).

In particular, since the unknot is not tricolorable, any tricolorable knot is necessarily nontrivial.

The standard Möbius strip has the unknot for a boundary but is not a Seifert surface for the unknot because it is not orientable.

second diagram is two unknots with four crossings.

Patching the latter P() = A × P() + P() gives, again, a trefoil, and two unknots with two crossings (the.

However, there are invariants which distinguish the unknot from all other knots, such as Khovanov homology and knot Floer homology.

The Hinckaert knot, a type of decorative unknot, is a heraldic knot used primarily in Dutch heraldry.

In mathematics, a stuck unknot is a closed polygonal chain that is topologically equal to the unknot but cannot be deformed to a simple polygon by rigid.

{\displaystyle n} , then there exists a diagram of the knot which can be changed to unknot by switching n {\displaystyle n} crossings.

The unknotting number of a knot.

A torus knot is trivial (equivalent to the unknot) if and only if either p or q is equal to 1 or −1.

unknot's Meaning':

become or cause to become undone by separating the fibers or threads of

Synonyms:

separate; disunite; undo; unpick; untangle; unscramble; part; divide; unravel;

Antonyms:

ravel; knot; connect; join; stay;