Knot (mathematics)
In mathematics, a knot is an embedding of a topological circle S1 in 3-dimensional Euclidean space, R3 (also known as E3), considered up to continuous deformations (isotopies). A crucial difference between the standard mathematical and conventional notions of a knot is that mathematical knots are closed—there are no ends to tie or untie on a mathematical knot. Physical properties such as friction and thickness also do not apply, although there are mathematical definitions of a knot that take such properties into account. The term knot is also applied to embeddings of S j in Sn, especially in the case j = n − 2. The branch of mathematics that studies knots is known as knot theory, and has many simple relations to graph theory.
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2-bridge knot3-manifoldAlexander's theoremAlexander dualityAlexander matrixAlexander polynomialAlgebraic topologyAlternating knotAmbient isotopyArithmetic topologyAspherical spaceAverage crossing numberBarry MazurBerge knotBiquandleBlossom tree (graph theory)Book embeddingBorromean ringsBowlineBracket polynomialBraid groupCameron Gordon (mathematician)Celtic knotChiral knotChiralityChirality (mathematics)Clasper (mathematics)Clifford Hugh DowkerComplete graphComputational topologyConnected sumConvex hullConway knotConway notation (knot theory)Crosscap numberCrossing number (knot theory)Cyclic coverDimensionDowker–Thistlethwaite notationEdward Witten
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Knot (mathematics)
In mathematics, a knot is an embedding of a topological circle S1 in 3-dimensional Euclidean space, R3 (also known as E3), considered up to continuous deformations (isotopies). A crucial difference between the standard mathematical and conventional notions of a knot is that mathematical knots are closed—there are no ends to tie or untie on a mathematical knot. Physical properties such as friction and thickness also do not apply, although there are mathematical definitions of a knot that take such properties into account. The term knot is also applied to embeddings of S j in Sn, especially in the case j = n − 2. The branch of mathematics that studies knots is known as knot theory, and has many simple relations to graph theory.
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Em matemática, um nó é uma ins ...... ples para a teoria dos grafos.
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En matemàtiques (i especialmen ...... umferència en l'espai ambient
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En matemáticas, y más concreta ...... en R3 o en la tres esfera S3.
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En mathématiques, et plus part ...... 'appelle la théorie des nœuds.
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In de knopentheorie, een deelg ...... schappen in beschouwing nemen.
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In matematica, e più precisame ...... in fisica, chimica e biologia.
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In mathematics, a knot is an e ...... ple relations to graph theory.
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Węzeł (ang. knot) – dowolna kr ...... węzły o tym samym wielomianie.
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Вузол у математиці — вкладення ...... можна порахувати виходячи з .
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Узел в математике — вложение о ...... их можно посчитать исходя из .
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Em matemática, um nó é uma ins ...... ples para a teoria dos grafos.
@pt
En matemàtiques (i especialmen ...... umferència en l'espai ambient
@ca
En matemáticas, y más concreta ...... en R3 o en la tres esfera S3.
@es
En mathématiques, et plus part ...... 'appelle la théorie des nœuds.
@fr
In de knopentheorie, een deelg ...... alledaagse knoop in een touw:
@nl
In matematica, e più precisame ...... in fisica, chimica e biologia.
@it
In mathematics, a knot is an e ...... ple relations to graph theory.
@en
Węzeł (ang. knot) – dowolna kr ...... w przestrzeni trójwymiarowej.
@pl
Вузол у математиці — вкладення ...... лу (чи можна його розв'язати).
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Узел в математике — вложение о ...... узлу (можно ли его развязать).
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label
Knoop (wiskunde)
@nl
Knot (mathematics)
@en
Knoten (Topologie)
@de
Nodo (matematica)
@it
Nudo (matemática)
@es
Nus (matemàtiques)
@ca
Nó (matemática)
@pt
Nœud (mathématiques)
@fr
Węzeł (teoria węzłów)
@pl
Вузол (математика)
@uk