Unknotting problem - Wikipedia
网页In mathematics, the unknotting problem is the problem of algorithmically recognizing the unknot, given some representation of a knot, e.g., a knot diagram. There are several types of unknotting algorithms.
Unknotting Definition & Meaning - Merriam-Webster
网页The meaning of UNKNOT is to undo a knot in. How to use unknot in a sentence.
UNKNOTTING Synonyms: 36 Similar and Opposite Words - Merriam-Webster
网页2019年9月2日 · Synonyms for UNKNOTTING: untying, uncoiling, unwinding, unrolling, unlacing, untieing, undoing, unthreading; Antonyms of UNKNOTTING: snarling, entangling, tangling, winding, tying, knotting, plying, braiding.
Unknot - Wikipedia
网页In the mathematical theory of knots, the unknot, not knot, or trivial knot, is the least knotted of all knots. Intuitively, the unknot is a closed loop of rope without a knot tied into it, unknotted.
Unknotting number - Wikipedia
网页Unknotting number. Trefoil knot without 3-fold symmetry being unknotted by one crossing switch. In the mathematical area of knot theory, the unknotting number of a knot is the minimum number of times the knot must be passed through itself (crossing switch) to untie it.
Introduction to Knots - Knot Theory
网页Another invariant is the unknotting number. The unknotting number is the least number of crossing changes necessary to turn a knot into the unknot. By “crossing changes” we mean changing the orientation of two strings where they cross.
Unknotting number - Vocab, Definition, and Must Know Facts
网页Definition. The unknotting number of a knot is the minimum number of crossings that must be removed to transform the knot into an unknot, which is simply a loop without any twists or crossings.
网页The first solution to the unknotting problem was found by Haken in 1961. His idea was to partition the Euclidean space into many small tetrahedra, such that the knot is composed of some of their edges. Then, one looks for a union of triangles that forms a disk with the knot as its boundary.
Unknot Diagrams: The Art and Magic of the Trivial Knot - The …
网页2021年7月7日 · The unknot, also known as the trivial knot, is the most simple knot. In its simplest form, it is just a loop but with hidden complexity. The unknot is deceptive because what looks like a knot is actually not a knot. Mathematicians have designed complex unknots to study their properties.
Knot theory - Cornell University
网页We define the unknotting number of D as the minimum number of unknotting operations that are required to change D into the regular diagram of the trivial knot (or link). Mathematically, we denote it by u(D) , as might be expected, it is NOT a knot invariant.
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