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knottheory

knot theory

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The answer KNOTTHEORY (knot theory) has 0 possible clue(s) in existing crosswords.

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The word KNOTTHEORY (knot theory) is NOT valid in any word game. (Sorry, you cannot play KNOTTHEORY (knot theory) in Scrabble, Words With Friends etc)

There are 10 letters in KNOTTHEORY ( E¹H⁴K⁵N¹O¹R¹T¹Y⁴ )

To search all scrabble anagrams of KNOTTHEORY, to go: KNOTTHEORY?

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7 letters out of KNOTTHEORY

KNOTTER

6 letters out of KNOTTHEORY

ENROOT HONKER HONKEY HOOKER HOOKEY HOOTER HORNET HOTTER KNOTTY NOTHER REKNOT RETOOK RHYTON ROTTEN THEORY THORNY THORON THRONE TOOTER TOOTHY TOROTH TORTEN TOTHER YONKER

5 letters out of KNOTTHEORY

4 letters out of KNOTTHEORY

3 letters out of KNOTTHEORY

EON ERN ETH HEN HER HET HEY HOE HON HOT HOY KEN KEY KOR KYE NET NOH NOO NOR NOT NTH OHO OKE ONE ONO OOH OOT ORE ORT RET RHO ROE ROT RYE TEN TET THE THO THY TOE TON TOO TOR TOT TOY TRY TYE YEH YEN YET YOK YON

2 letters out of KNOTTHEORY

EH EN ER ET HE HO NE NO OE OH ON OR OY RE TO YE YO

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Definitions of knot theory in various dictionaries:

KNOT THEORY - In topology, knot theory is the study of mathematical knots. While inspired by knots which appear in daily life, such as those in shoelaces and rope,...

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Knot theory description
In topology, knot theory is the study of mathematical knots. While inspired by knots which appear in daily life, such as those in shoelaces and rope, a mathematical knot differs in that the ends are joined together so that it cannot be undone, the simplest knot being a ring. In mathematical language, a knot is an embedding of a circle in 3-dimensional Euclidean space, R3 (in topology, a circle isn't bound to the classical geometric concept, but to all of its homeomorphisms). Two mathematical knots are equivalent if one can be transformed into the other via a deformation of R3 upon itself (known as an ambient isotopy); these transformations correspond to manipulations of a knotted string that do not involve cutting the string or passing the string through itself. * Knots can be described in various ways. Given a method of description, however, there may be more than one description that represents the same knot. For example, a common method of describing a knot is a planar diagram called a knot diagram. Any given knot can be drawn in many different ways using a knot diagram. Therefore, a fundamental problem in knot theory is determining when two descriptions represent the same knot. * A complete algorithmic solution to this problem exists, which has unknown complexity. In practice, knots are often distinguished by using a knot invariant, a "quantity" which is the same when computed from different descriptions of a knot. Important invariants include knot polynomials, knot groups, and hyperbolic invariants. * The original motivation for the founders of knot theory was to create a table of knots and links, which are knots of several components entangled with each other. More than six billion knots and links have been tabulated since the beginnings of knot theory in the 19th century. * To gain further insight, mathematicians have generalized the knot concept in several ways. Knots can be considered in other three-dimensional spaces and objects other than circles can be used; see knot (mathematics). Higher-dimensional knots are n-dimensional spheres in m-dimensional Euclidean space.

Knot theory description

In topology, knot theory is the study of mathematical knots. While inspired by knots which appear in daily life, such as those in shoelaces and rope, a mathematical knot differs in that the ends are joined together so that it cannot be undone, the simplest knot being a ring. In mathematical language, a knot is an embedding of a circle in 3-dimensional Euclidean space, R3 (in topology, a circle isn't bound to the classical geometric concept, but to all of its homeomorphisms). Two mathematical knots are equivalent if one can be transformed into the other via a deformation of R3 upon itself (known as an ambient isotopy); these transformations correspond to manipulations of a knotted string that do not involve cutting the string or passing the string through itself.
* Knots can be described in various ways. Given a method of description, however, there may be more than one description that represents the same knot. For example, a common method of describing a knot is a planar diagram called a knot diagram. Any given knot can be drawn in many different ways using a knot diagram. Therefore, a fundamental problem in knot theory is determining when two descriptions represent the same knot.
* A complete algorithmic solution to this problem exists, which has unknown complexity. In practice, knots are often distinguished by using a knot invariant, a "quantity" which is the same when computed from different descriptions of a knot. Important invariants include knot polynomials, knot groups, and hyperbolic invariants.
* The original motivation for the founders of knot theory was to create a table of knots and links, which are knots of several components entangled with each other. More than six billion knots and links have been tabulated since the beginnings of knot theory in the 19th century.
* To gain further insight, mathematicians have generalized the knot concept in several ways. Knots can be considered in other three-dimensional spaces and objects other than circles can be used; see knot (mathematics). Higher-dimensional knots are n-dimensional spheres in m-dimensional Euclidean space.

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