Naming and Enumeration - Revision history

ScottDataRobot at 22:18, 21 February 2013

2013-02-21T22:18:25Z

← Older revision		Revision as of 18:18, 21 February 2013
Line 148:		Line 148:
	NumberOfKnots[11 a, NonAlternating],		NumberOfKnots[11 a, NonAlternating],

	Knot @@ KnotTheory`Naming`s$~~2996~~], Link[8, Alternating, 1],		Knot @@ KnotTheory`Naming`s$3008], Link[8, Alternating, 1],

	TorusKnot[3, 5]}</nowiki>}}		TorusKnot[3, 5]}</nowiki>}}

ScottDataRobot at 22:08, 21 February 2013

2013-02-21T22:08:14Z

← Older revision		Revision as of 18:08, 21 February 2013
Line 10:		Line 10:
	n = 2 \|		n = 2 \|
	in = <nowiki>Knot</nowiki> \|		in = <nowiki>Knot</nowiki> \|
	out= <nowiki>Knot[n, k] denotes the kth knot with n crossings in the Rolfsen table. Knot[n, Alternating, k] (for n between 11 and 16) denotes the kth alternating n-crossing knot in the Hoste-Thistlethwaite table. ~~Knot[n, NonAlternating, k] denotes the kth non alternating n-crossing knot in the Hoste-Thistlethwaite table.</nowiki>}}~~		out= <nowiki>Knot[n, k] denotes the kth knot with n crossings in the Rolfsen table. Knot[n, Alternating, k] (for n between 11 and 16) denotes the kth alternating n-crossing knot in the Hoste-Thistlethwaite table.
			Knot[n, NonAlternating, k] denotes the kth non alternating n-crossing knot in the Hoste-Thistlethwaite table.</nowiki>}}
	<!--END-->		<!--END-->

Line 18:		Line 19:
	n = 3 \|		n = 3 \|
	in = <nowiki>Link</nowiki> \|		in = <nowiki>Link</nowiki> \|
	out= <nowiki>Link[n, Alternating, k] denotes the kth alternating n-crossing link in the Thistlethwaite table. ~~Link[n, NonAlternating, k] denotes the kth non alternating n-crossing link in the Thistlethwaite table.</nowiki>}}~~		out= <nowiki>Link[n, Alternating, k] denotes the kth alternating n-crossing link in the Thistlethwaite table.
			Link[n, NonAlternating, k] denotes the kth non alternating n-crossing link in the Thistlethwaite table.</nowiki>}}
	<!--END-->		<!--END-->

Line 62:		Line 64:
	n = 7 \|		n = 7 \|
	in = <nowiki>AllKnots</nowiki> \|		in = <nowiki>AllKnots</nowiki> \|
	out= <nowiki>AllKnots[] return a list of all knots with up to 11 crossings. AllKnots[n_] returns a list of all knots with n crossings, up to 16. AllKnots[{n_,m_}] returns a list of all knots with between n and m crossings, and AllKnots[n_,Alternating\|NonAlternating] returns all knots with n crossings of the specified type.</nowiki>}}		out= <nowiki>AllKnots[] return a list of all knots with up to 11 crossings. AllKnots[n_] returns a list of all knots with n crossings, up to 16. AllKnots[{n_, m_}] returns a list of all knots with between n and m crossings, and AllKnots[n_, Alternating\|NonAlternating] returns all knots with n crossings of the specified type.</nowiki>}}
	<!--END-->		<!--END-->

Line 140:		Line 142:
	n = 15 \|		n = 15 \|
	in = <nowiki>Knot /@ {"K11a14", "11a_14", "L8a1", "T(3,5)"}</nowiki> \|		in = <nowiki>Knot /@ {"K11a14", "11a_14", "L8a1", "T(3,5)"}</nowiki> \|
	out= <nowiki>{Knot[11, Alternating, 14], ~~Knot~~[11, ~~Alternating,~~ ~~14],~~		out= <nowiki>{Knot[11, Alternating, 14], If[11 a <= 10 &&

	~~Link~~[8, Alternating~~, 1~~], ~~TorusKnot[3,~~ ~~5]}</nowiki>}}~~		14 <= NumberOfKnots[11 a, Alternating] +

			NumberOfKnots[11 a, NonAlternating],

			Knot @@ KnotTheory`Naming`s$2996], Link[8, Alternating, 1],

			TorusKnot[3, 5]}</nowiki>}}
	<!--END-->		<!--END-->

Drorbn: Reverted edits by DronrElacc (Talk); changed back to last version by Drorbn

2009-05-27T21:02:03Z

Reverted edits by DronrElacc (Talk); changed back to last version by Drorbn

← Older revision		Revision as of 17:02, 27 May 2009
Line 1:		Line 1:
	http://www.textlavarcbo.com
	{{Manual TOC Sidebar}}		{{Manual TOC Sidebar}}

DronrElacc at 13:29, 21 May 2009

2009-05-21T13:29:26Z

← Older revision		Revision as of 09:29, 21 May 2009
Line 1:		Line 1:
			http://www.textlavarcbo.com
	{{Manual TOC Sidebar}}		{{Manual TOC Sidebar}}

Drorbn: Reverted edits by PascaTrrod (Talk); changed back to last version by Drorbn

2008-12-19T23:55:49Z

Reverted edits by PascaTrrod (Talk); changed back to last version by Drorbn

← Older revision		Revision as of 19:55, 19 December 2008
Line 1:		Line 1:
	zeleracel
	{{Manual TOC Sidebar}}		{{Manual TOC Sidebar}}

PascaTrrod: reltrrelda

2008-12-19T21:41:03Z

reltrrelda

← Older revision		Revision as of 17:41, 19 December 2008
Line 1:		Line 1:
			zeleracel
	{{Manual TOC Sidebar}}		{{Manual TOC Sidebar}}

Drorbn: Reverted edits by RelcaDomba (Talk); changed back to last version by DrorsRobot

2008-07-14T05:04:21Z

Reverted edits by RelcaDomba (Talk); changed back to last version by DrorsRobot

← Older revision		Revision as of 01:04, 14 July 2008
Line 1:		Line 1:
	eroloroba
	{{Manual TOC Sidebar}}		{{Manual TOC Sidebar}}

RelcaDomba: ricnoboba

2008-07-13T20:55:30Z

ricnoboba

← Older revision		Revision as of 16:55, 13 July 2008
Line 1:		Line 1:
			eroloroba
	{{Manual TOC Sidebar}}		{{Manual TOC Sidebar}}

DrorsRobot at 01:10, 17 February 2006

2006-02-17T01:10:44Z

← Older revision	Revision as of 21:10, 16 February 2006
(No difference)

DrorsRobot at 01:10, 17 February 2006

2006-02-17T01:10:44Z

← Older revision		Revision as of 21:10, 16 February 2006
Line 8:		Line 8:
	<!--Robot Land, no human edits to "END"-->		<!--Robot Land, no human edits to "END"-->
	{{HelpLine\|		{{HelpLine\|
	n = 1 \|		n = 2 \|
	in = <nowiki>Knot</nowiki> \|		in = <nowiki>Knot</nowiki> \|
	out= <nowiki>Knot[n, k] denotes the kth knot with n crossings in the Rolfsen table. Knot[n, Alternating, k] (for n between 11 and 16) denotes the kth alternating n-crossing knot in the Hoste-Thistlethwaite table. Knot[n, NonAlternating, k] denotes the kth non alternating n-crossing knot in the Hoste-Thistlethwaite table.</nowiki>}}		out= <nowiki>Knot[n, k] denotes the kth knot with n crossings in the Rolfsen table. Knot[n, Alternating, k] (for n between 11 and 16) denotes the kth alternating n-crossing knot in the Hoste-Thistlethwaite table. Knot[n, NonAlternating, k] denotes the kth non alternating n-crossing knot in the Hoste-Thistlethwaite table.</nowiki>}}
Line 16:		Line 16:
	<!--Robot Land, no human edits to "END"-->		<!--Robot Land, no human edits to "END"-->
	{{HelpLine\|		{{HelpLine\|
	n = 2 \|		n = 3 \|
	in = <nowiki>Link</nowiki> \|		in = <nowiki>Link</nowiki> \|
	out= <nowiki>Link[n, Alternating, k] denotes the kth alternating n-crossing link in the Thistlethwaite table. Link[n, NonAlternating, k] denotes the kth non alternating n-crossing link in the Thistlethwaite table.</nowiki>}}		out= <nowiki>Link[n, Alternating, k] denotes the kth alternating n-crossing link in the Thistlethwaite table. Link[n, NonAlternating, k] denotes the kth non alternating n-crossing link in the Thistlethwaite table.</nowiki>}}
Line 28:		Line 28:
	<!--Robot Land, no human edits to "END"-->		<!--Robot Land, no human edits to "END"-->
	{{InOut\|		{{InOut\|
	n = 3 \|		n = 4 \|
	in = <nowiki>Alexander[Knot[6, 1]][t]</nowiki> \|		in = <nowiki>Alexander[Knot[6, 1]][t]</nowiki> \|
	out= <nowiki> 2		out= <nowiki> 2
Line 38:		Line 38:
	<!--Robot Land, no human edits to "END"-->		<!--Robot Land, no human edits to "END"-->
	{{InOut\|		{{InOut\|
	n = 4 \|		n = 5 \|
	in = <nowiki>Alexander[Knot[9, 46]][t]</nowiki> \|		in = <nowiki>Alexander[Knot[9, 46]][t]</nowiki> \|
	out= <nowiki> 2		out= <nowiki> 2
Line 52:		Line 52:
	<!--Robot Land, no human edits to "END"-->		<!--Robot Land, no human edits to "END"-->
	{{InOut\|		{{InOut\|
	n = 5 \|		n = 6 \|
	in = <nowiki>Length[Skeleton[Link[6, Alternating, 4]]]</nowiki> \|		in = <nowiki>Length[Skeleton[Link[6, Alternating, 4]]]</nowiki> \|
	out= <nowiki>3</nowiki>}}		out= <nowiki>3</nowiki>}}
Line 60:		Line 60:
	<!--Robot Land, no human edits to "END"-->		<!--Robot Land, no human edits to "END"-->
	{{HelpLine\|		{{HelpLine\|
	n = 6 \|		n = 7 \|
	in = <nowiki>AllKnots</nowiki> \|		in = <nowiki>AllKnots</nowiki> \|
	out= <nowiki>AllKnots[] return a list of all knots with up to 11 crossings. AllKnots[n_] returns a list of all knots with n crossings, up to 16. AllKnots[{n_,m_}] returns a list of all knots with between n and m crossings, and AllKnots[n_,Alternating\|NonAlternating] returns all knots with n crossings of the specified type.</nowiki>}}		out= <nowiki>AllKnots[] return a list of all knots with up to 11 crossings. AllKnots[n_] returns a list of all knots with n crossings, up to 16. AllKnots[{n_,m_}] returns a list of all knots with between n and m crossings, and AllKnots[n_,Alternating\|NonAlternating] returns all knots with n crossings of the specified type.</nowiki>}}
Line 68:		Line 68:
	<!--Robot Land, no human edits to "END"-->		<!--Robot Land, no human edits to "END"-->
	{{HelpLine\|		{{HelpLine\|
	n = 7 \|		n = 8 \|
	in = <nowiki>AllLinks</nowiki> \|		in = <nowiki>AllLinks</nowiki> \|
	out= <nowiki>AllLinks[] return a list of all links with up to 11 crossings. AllLinks[n_] returns a list of all links with n crossings, up to 12.</nowiki>}}		out= <nowiki>AllLinks[] return a list of all links with up to 11 crossings. AllLinks[n_] returns a list of all links with n crossings, up to 12.</nowiki>}}
Line 78:		Line 78:
	<!--Robot Land, no human edits to "END"-->		<!--Robot Land, no human edits to "END"-->
	{{InOut\|		{{InOut\|
	n = 8 \|		n = 9 \|
	in = <nowiki>Length /@ {AllKnots[{0,16}], AllLinks[{2,12}]}</nowiki> \|		in = <nowiki>Length /@ {AllKnots[{0,16}], AllLinks[{2,12}]}</nowiki> \|
	out= <nowiki>{1701936, 5700}</nowiki>}}		out= <nowiki>{1701936, 5700}</nowiki>}}
Line 88:		Line 88:
	n = 10 \|		n = 10 \|
	in = <nowiki>Show[DrawPD[Knot[13, NonAlternating, 5016], {Gap -> 0.025}]]</nowiki> \|		in = <nowiki>Show[DrawPD[Knot[13, NonAlternating, 5016], {Gap -> 0.025}]]</nowiki> \|
	img= ~~Naming_and_Enumeration_Out_9~~.gif \|		img= Naming_and_Enumeration_Out_10.gif \|
	out= <nowiki>-Graphics-</nowiki>}}		out= <nowiki>-Graphics-</nowiki>}}
	<!--END-->		<!--END-->

← Older revision		Revision as of 21:10, 16 February 2006
Line 8:		Line 8:
	<!--Robot Land, no human edits to "END"-->		<!--Robot Land, no human edits to "END"-->
	{{HelpLine\|		{{HelpLine\|
	n = 1 \|		n = 2 \|
	in = <nowiki>Knot</nowiki> \|		in = <nowiki>Knot</nowiki> \|
	out= <nowiki>Knot[n, k] denotes the kth knot with n crossings in the Rolfsen table. Knot[n, Alternating, k] (for n between 11 and 16) denotes the kth alternating n-crossing knot in the Hoste-Thistlethwaite table. Knot[n, NonAlternating, k] denotes the kth non alternating n-crossing knot in the Hoste-Thistlethwaite table.</nowiki>}}		out= <nowiki>Knot[n, k] denotes the kth knot with n crossings in the Rolfsen table. Knot[n, Alternating, k] (for n between 11 and 16) denotes the kth alternating n-crossing knot in the Hoste-Thistlethwaite table. Knot[n, NonAlternating, k] denotes the kth non alternating n-crossing knot in the Hoste-Thistlethwaite table.</nowiki>}}
Line 16:		Line 16:
	<!--Robot Land, no human edits to "END"-->		<!--Robot Land, no human edits to "END"-->
	{{HelpLine\|		{{HelpLine\|
	n = 2 \|		n = 3 \|
	in = <nowiki>Link</nowiki> \|		in = <nowiki>Link</nowiki> \|
	out= <nowiki>Link[n, Alternating, k] denotes the kth alternating n-crossing link in the Thistlethwaite table. Link[n, NonAlternating, k] denotes the kth non alternating n-crossing link in the Thistlethwaite table.</nowiki>}}		out= <nowiki>Link[n, Alternating, k] denotes the kth alternating n-crossing link in the Thistlethwaite table. Link[n, NonAlternating, k] denotes the kth non alternating n-crossing link in the Thistlethwaite table.</nowiki>}}
Line 28:		Line 28:
	<!--Robot Land, no human edits to "END"-->		<!--Robot Land, no human edits to "END"-->
	{{InOut\|		{{InOut\|
	n = 3 \|		n = 4 \|
	in = <nowiki>Alexander[Knot[6, 1]][t]</nowiki> \|		in = <nowiki>Alexander[Knot[6, 1]][t]</nowiki> \|
	out= <nowiki> 2		out= <nowiki> 2
Line 38:		Line 38:
	<!--Robot Land, no human edits to "END"-->		<!--Robot Land, no human edits to "END"-->
	{{InOut\|		{{InOut\|
	n = 4 \|		n = 5 \|
	in = <nowiki>Alexander[Knot[9, 46]][t]</nowiki> \|		in = <nowiki>Alexander[Knot[9, 46]][t]</nowiki> \|
	out= <nowiki> 2		out= <nowiki> 2
Line 52:		Line 52:
	<!--Robot Land, no human edits to "END"-->		<!--Robot Land, no human edits to "END"-->
	{{InOut\|		{{InOut\|
	n = 5 \|		n = 6 \|
	in = <nowiki>Length[Skeleton[Link[6, Alternating, 4]]]</nowiki> \|		in = <nowiki>Length[Skeleton[Link[6, Alternating, 4]]]</nowiki> \|
	out= <nowiki>3</nowiki>}}		out= <nowiki>3</nowiki>}}
Line 60:		Line 60:
	<!--Robot Land, no human edits to "END"-->		<!--Robot Land, no human edits to "END"-->
	{{HelpLine\|		{{HelpLine\|
	n = 6 \|		n = 7 \|
	in = <nowiki>AllKnots</nowiki> \|		in = <nowiki>AllKnots</nowiki> \|
	out= <nowiki>AllKnots[] return a list of all knots with up to 11 crossings. AllKnots[n_] returns a list of all knots with n crossings, up to 16. AllKnots[{n_,m_}] returns a list of all knots with between n and m crossings, and AllKnots[n_,Alternating\|NonAlternating] returns all knots with n crossings of the specified type.</nowiki>}}		out= <nowiki>AllKnots[] return a list of all knots with up to 11 crossings. AllKnots[n_] returns a list of all knots with n crossings, up to 16. AllKnots[{n_,m_}] returns a list of all knots with between n and m crossings, and AllKnots[n_,Alternating\|NonAlternating] returns all knots with n crossings of the specified type.</nowiki>}}
Line 68:		Line 68:
	<!--Robot Land, no human edits to "END"-->		<!--Robot Land, no human edits to "END"-->
	{{HelpLine\|		{{HelpLine\|
	n = 7 \|		n = 8 \|
	in = <nowiki>AllLinks</nowiki> \|		in = <nowiki>AllLinks</nowiki> \|
	out= <nowiki>AllLinks[] return a list of all links with up to 11 crossings. AllLinks[n_] returns a list of all links with n crossings, up to 12.</nowiki>}}		out= <nowiki>AllLinks[] return a list of all links with up to 11 crossings. AllLinks[n_] returns a list of all links with n crossings, up to 12.</nowiki>}}
Line 78:		Line 78:
	<!--Robot Land, no human edits to "END"-->		<!--Robot Land, no human edits to "END"-->
	{{InOut\|		{{InOut\|
	n = 8 \|		n = 9 \|
	in = <nowiki>Length /@ {AllKnots[{0,16}], AllLinks[{2,12}]}</nowiki> \|		in = <nowiki>Length /@ {AllKnots[{0,16}], AllLinks[{2,12}]}</nowiki> \|
	out= <nowiki>{1701936, 5700}</nowiki>}}		out= <nowiki>{1701936, 5700}</nowiki>}}
Line 88:		Line 88:
	n = 10 \|		n = 10 \|
	in = <nowiki>Show[DrawPD[Knot[13, NonAlternating, 5016], {Gap -> 0.025}]]</nowiki> \|		in = <nowiki>Show[DrawPD[Knot[13, NonAlternating, 5016], {Gap -> 0.025}]]</nowiki> \|
	img= ~~Naming_and_Enumeration_Out_9~~.gif \|		img= Naming_and_Enumeration_Out_10.gif \|
	out= <nowiki>-Graphics-</nowiki>}}		out= <nowiki>-Graphics-</nowiki>}}
	<!--END-->		<!--END-->