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• The Jones Polynomial
  <!--$$?Jones$$--> in = <nowiki>Jones</nowiki> |
  14 KB (2,176 words) - 20:53, 8 August 2013
• The Coloured Jones Polynomials
  <code>KnotTheory`</code> can compute the coloured Jones polynomial of knots and links, using the formulas in {{ref|Garoufalidis Le out= <nowiki>ColouredJones[K, n][q] returns the coloured Jones polynomial of a knot in colour n (i.e., in the (n+1)-dimensional representa
  7 KB (1,026 words) - 23:17, 27 May 2009

Page text matches

• Invariants
  * [[The Jones Polynomial]] ** [[The Jones Polynomial#How is the Jones polynomial computed?|How is the Jones polynomial computed?]]
  624 bytes (68 words) - 07:52, 17 December 2008
• Rolfsen Splice Base
  same_jones = <* J = Jones[K][q]; ...= DeleteCases[Select[AllKnots[], (J === Jones[#][q] || (J /. q-> 1/q) === Jones[#][q])&], K];
  972 bytes (97 words) - 15:55, 23 June 2006
• Structure and Operations
  ..., as expected, the Jones polynomial of <math>K</math> is the square of the Jones polynomial of [[4_1]]: <!--$$Jones[K][q] == Expand[Jones[Knot[4,1]][q]^2]$$-->
  4 KB (593 words) - 18:20, 21 February 2013
• The Kauffman Polynomial
  ...[[The_Jones_Polynomial#How_is_the_Jones_polynomial_computed.3F|How is the Jones Polynomial Computed?]]) and where <math>L(K)</math> is the regular isotopy It is well known that the Jones polynomial is related to the Kauffman polynomial via
  3 KB (446 words) - 18:23, 21 February 2013
• The A2 Invariant
  ...example, let us check that the knots [[10_22]] and [[10_35]] have the same Jones polynomial but different <math>A2</math> invariants: <!--$$Jones[Knot[10, 22]][q] == Jones[Knot[10, 35]][q]$$-->
  3 KB (384 words) - 18:22, 21 February 2013
• Manual Table of Contents
  ** [[The Jones Polynomial]] *** [[The Jones Polynomial#How is the Jones polynomial computed?|How is the Jones polynomial computed?]]
  2 KB (230 words) - 16:37, 15 July 2008
• Torus Knot Splice Base
  same_jones = <* J = Jones[K][q]; ...= DeleteCases[Select[AllKnots[], (J === Jones[#][q] || (J /. q-> 1/q) === Jones[#][q])&], K];
  2 KB (218 words) - 17:09, 18 September 2005
• 0 1
  ...d; border: 0px; padding: 0em; background-color: rgb(255,255,255);"><nowiki>Jones[Knot[0, 1]][q]</nowiki></code></td></tr> ...255);"><nowiki>Select[AllKnots[], (J === Jones[#][q] || (J /. q-> 1/q) === Jones[#][q])&]</nowiki></code></td></tr>
  13 KB (1,710 words) - 18:02, 1 September 2005
• Hoste-Thistlethwaite Splice Base
  same_jones = <* J = Jones[K][q]; ...= DeleteCases[Select[AllKnots[], (J === Jones[#][q] || (J /. q-> 1/q) === Jones[#][q])&], K];
  2 KB (223 words) - 17:13, 18 September 2005
• 3 1
  ...d; border: 0px; padding: 0em; background-color: rgb(255,255,255);"><nowiki>Jones[Knot[3, 1]][q]</nowiki></code></td></tr> ...255);"><nowiki>Select[AllKnots[], (J === Jones[#][q] || (J /. q-> 1/q) === Jones[#][q])&]</nowiki></code></td></tr>
  15 KB (2,309 words) - 18:01, 1 September 2005
• 7 1
  ...d; border: 0px; padding: 0em; background-color: rgb(255,255,255);"><nowiki>Jones[Knot[7, 1]][q]</nowiki></code></td></tr> ...255);"><nowiki>Select[AllKnots[], (J === Jones[#][q] || (J /. q-> 1/q) === Jones[#][q])&]</nowiki></code></td></tr>
  19 KB (2,949 words) - 06:13, 13 June 2007
• 4 1
  ...d; border: 0px; padding: 0em; background-color: rgb(255,255,255);"><nowiki>Jones[Knot[4, 1]][q]</nowiki></code></td></tr> ...255);"><nowiki>Select[AllKnots[], (J === Jones[#][q] || (J /. q-> 1/q) === Jones[#][q])&]</nowiki></code></td></tr>
  17 KB (2,606 words) - 16:35, 14 July 2007
• 9 1
  ...d; border: 0px; padding: 0em; background-color: rgb(255,255,255);"><nowiki>Jones[Knot[9, 1]][q]</nowiki></code></td></tr> ...255);"><nowiki>Select[AllKnots[], (J === Jones[#][q] || (J /. q-> 1/q) === Jones[#][q])&]</nowiki></code></td></tr>
  21 KB (3,274 words) - 18:03, 1 September 2005
• 5 2
  ...d; border: 0px; padding: 0em; background-color: rgb(255,255,255);"><nowiki>Jones[Knot[5, 2]][q]</nowiki></code></td></tr> ...255);"><nowiki>Select[AllKnots[], (J === Jones[#][q] || (J /. q-> 1/q) === Jones[#][q])&]</nowiki></code></td></tr>
  20 KB (3,137 words) - 07:15, 21 January 2008
• 8 19
  ...d; border: 0px; padding: 0em; background-color: rgb(255,255,255);"><nowiki>Jones[Knot[8, 19]][q]</nowiki></code></td></tr> ...255);"><nowiki>Select[AllKnots[], (J === Jones[#][q] || (J /. q-> 1/q) === Jones[#][q])&]</nowiki></code></td></tr>
  18 KB (2,455 words) - 18:01, 1 September 2005
• 6 2
  ...d; border: 0px; padding: 0em; background-color: rgb(255,255,255);"><nowiki>Jones[Knot[6, 2]][q]</nowiki></code></td></tr> ...255);"><nowiki>Select[AllKnots[], (J === Jones[#][q] || (J /. q-> 1/q) === Jones[#][q])&]</nowiki></code></td></tr>
  21 KB (3,293 words) - 18:00, 1 September 2005
• 7 3
  ...d; border: 0px; padding: 0em; background-color: rgb(255,255,255);"><nowiki>Jones[Knot[7, 3]][q]</nowiki></code></td></tr> ...255);"><nowiki>Select[AllKnots[], (J === Jones[#][q] || (J /. q-> 1/q) === Jones[#][q])&]</nowiki></code></td></tr>
  22 KB (3,155 words) - 18:00, 1 September 2005
• Quantum knot invariants
  The Jones polynomial is a quantum knot invariant -- it corresponds to the 2-dimension <!--$${Jones[Knot[6,1]][q], QuantumKnotInvariant[Subscript[A,1], Irrep[Subscript[A,1]][{
  7 KB (923 words) - 23:13, 27 May 2009
• The Coloured Jones Polynomials
  <code>KnotTheory`</code> can compute the coloured Jones polynomial of knots and links, using the formulas in {{ref|Garoufalidis Le out= <nowiki>ColouredJones[K, n][q] returns the coloured Jones polynomial of a knot in colour n (i.e., in the (n+1)-dimensional representa
  7 KB (1,026 words) - 23:17, 27 May 2009
• 6 3
  ...d; border: 0px; padding: 0em; background-color: rgb(255,255,255);"><nowiki>Jones[Knot[6, 3]][q]</nowiki></code></td></tr> ...255);"><nowiki>Select[AllKnots[], (J === Jones[#][q] || (J /. q-> 1/q) === Jones[#][q])&]</nowiki></code></td></tr>
  22 KB (3,276 words) - 18:01, 1 September 2005