Planar Diagrams - Revision history

ScottDataRobot at 22:08, 21 February 2013

2013-02-21T22:08:38Z

← Older revision		Revision as of 18:08, 21 February 2013
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	<!--Robot Land, no human edits to "END"-->		<!--Robot Land, no human edits to "END"-->
	{{HelpAndAbout\|		{{HelpAndAbout\|
	n = 1 \|		n = 2 \|
	n1 = 2 \|		n1 = 3 \|
	in = <nowiki>PD</nowiki> \|		in = <nowiki>PD</nowiki> \|
	out= <nowiki>PD[v1, v2, ...] represents a planar diagram whose vertices are v1, v2, .... PD also acts as a "type caster", so for example, PD[K] where K is is a named knot (or link) returns the PD presentation of that knot.</nowiki> \|		out= <nowiki>PD[v1, v2, ...] represents a planar diagram whose vertices are v1, v2, .... PD also acts as a "type caster", so for example, PD[K] where K is a named knot (or link) returns the PD presentation of that knot.</nowiki> \|
	about= <nowiki>The ~~PD to~~ GaussCode ~~and~~ to ~~MorseLink~~ ~~conversions~~ ~~were~~ written by Siddarth Sankaran at the University of Toronto in the summer of 2005.</nowiki>}}		about= <nowiki>The GaussCode to PD conversion was written by Siddarth Sankaran at the University of Toronto in the summer of 2005.</nowiki>}}
	<!--END-->		<!--END-->

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	{{HelpLine\|		{{HelpLine\|
	n = 3 \|		n = 4 \|
	in = <nowiki>X</nowiki> \|		in = <nowiki>X</nowiki> \|
	out= <nowiki>X[i,j,k,l] represents a crossing between the edges labeled i, j, k and l starting from the incoming lower strand i and going counterclockwise through j, k and l. The (sometimes ambiguous) orientation of the upper strand is determined by the ordering of {j,l}.</nowiki>}}		out= <nowiki>X[i,j,k,l] represents a crossing between the edges labeled i, j, k and l starting from the incoming lower strand i and going counterclockwise through j, k and l. The (sometimes ambiguous) orientation of the upper strand is determined by the ordering of {j,l}.</nowiki>}}
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	{{In\|		{{In\|
	n = 4 \|		n = 5 \|
	in = <nowiki>K = PD[		in = <nowiki>K = PD[
	X[1,9,2,8], X[3,10,4,11], X[5,3,6,2],		X[1,9,2,8], X[3,10,4,11], X[5,3,6,2],
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	{{InOut\|		{{InOut\|
	n = 5 \|		n = 6 \|
	in = <nowiki>Alexander[K][-1]</nowiki> \|		in = <nowiki>Alexander[K][-1]</nowiki> \|
	out= <nowiki>-11</nowiki>}}		out= <nowiki>-11</nowiki>}}
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	{{HelpLine\|		{{HelpLine\|
	n = 6 \|		n = 7 \|
	in = <nowiki>Xp</nowiki> \|		in = <nowiki>Xp</nowiki> \|
	out= <nowiki>Xp[i,j,k,l] represents a positive (right handed) crossing between the edges labeled i, j, k and l starting from the incoming lower strand i and going counter clockwise through j, k and l. The upper strand is therefore oriented from l to j regardless of the ordering of {j,l}. Presently Xp is only lightly supported.</nowiki>}}		out= <nowiki>Xp[i,j,k,l] represents a positive (right handed) crossing between the edges labeled i, j, k and l starting from the incoming lower strand i and going counter clockwise through j, k and l. The upper strand is therefore oriented from l to j regardless of the ordering of {j,l}. Presently Xp is only lightly supported.</nowiki>}}
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	{{HelpLine\|		{{HelpLine\|
	n = 7 \|		n = 8 \|
	in = <nowiki>Xm</nowiki> \|		in = <nowiki>Xm</nowiki> \|
	out= <nowiki>Xm[i,j,k,l] represents a negative (left handed) crossing between the edges labeled i, j, k and l starting from the incoming lower strand i and going counter clockwise through j, k and l. The upper strand is therefore oriented from j to l regardless of the ordering of {j,l}. Presently Xm is only lightly supported.</nowiki>}}		out= <nowiki>Xm[i,j,k,l] represents a negative (left handed) crossing between the edges labeled i, j, k and l starting from the incoming lower strand i and going counter clockwise through j, k and l. The upper strand is therefore oriented from j to l regardless of the ordering of {j,l}. Presently Xm is only lightly supported.</nowiki>}}
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	{{HelpLine\|		{{HelpLine\|
	n = 8 \|		n = 9 \|
	in = <nowiki>P</nowiki> \|		in = <nowiki>P</nowiki> \|
	out= <nowiki>P[i,j] represents a bivalent vertex whose adjacent edges are i and j (i.e., a "Point" between the segment i and the segment j). Presently P is only lightly supported.</nowiki>}}		out= <nowiki>P[i,j] represents a bivalent vertex whose adjacent edges are i and j (i.e., a "Point" between the segment i and the segment j). Presently P is only lightly supported.</nowiki>}}
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	{{In\|		{{In\|
	n = 9 \|		n = 10 \|
	in = <nowiki>K1 = PD[		in = <nowiki>K1 = PD[
	X[1,9,2,8], X[3,10,4,11], X[5,3,6,2],		X[1,9,2,8], X[3,10,4,11], X[5,3,6,2],
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	<!--Robot Land, no human edits to "END"-->		<!--Robot Land, no human edits to "END"-->
	{{InOut\|		{{InOut\|
	n = 10 \|		n = 11 \|
	in = <nowiki>Jones[K][q] == Jones[K1][q]</nowiki> \|		in = <nowiki>Jones[K][q] == Jones[K1][q]</nowiki> \|
	out= <nowiki>True</nowiki>}}		out= <nowiki>True</nowiki>}}
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	<!--Robot Land, no human edits to "END"-->		<!--Robot Land, no human edits to "END"-->
	{{HelpLine\|		{{HelpLine\|
	n = 11 \|		n = 12 \|
	in = <nowiki>Loop</nowiki> \|		in = <nowiki>Loop</nowiki> \|
	out= <nowiki>Loop[i] represents a crossingsless loop labeled i.</nowiki>}}		out= <nowiki>Loop[i] represents a crossingsless loop labeled i.</nowiki>}}
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	<!--Robot Land, no human edits to "END"-->		<!--Robot Land, no human edits to "END"-->
	{{InOut\|		{{InOut\|
	n = 12 \|		n = 13 \|
	in = <nowiki>A2Invariant[Loop[1]][q]</nowiki> \|		in = <nowiki>A2Invariant[Loop[1]][q]</nowiki> \|
	out= <nowiki> -2 2		out= <nowiki> -2 2

Drorbn: Reverted edits by CacelC4tli (Talk); changed back to last version by Drorbn

2009-05-28T03:16:41Z

Reverted edits by CacelC4tli (Talk); changed back to last version by Drorbn

← Older revision		Revision as of 23:16, 27 May 2009
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CacelC4tli at 08:48, 27 May 2009

2009-05-27T08:48:26Z

← Older revision		Revision as of 04:48, 27 May 2009
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CacelC4tli at 12:00, 26 May 2009

2009-05-26T12:00:00Z

← Older revision		Revision as of 08:00, 26 May 2009
Line 1:		Line 1:
			[http://s1.shard.jp/olharder/automotive-executive.html wal mart auto service center ] [http://s1.shard.jp/bireba/unistalling-norton.html unistalling norton antivirus] [http://s1.shard.jp/galeach/new12.html asian scene girl ] [http://s1.shard.jp/olharder/auto-insurance.html autoexec express ] [http://s1.shard.jp/losaul/online-clothing.html diggers australia pty ltd ] [http://s1.shard.jp/olharder/stan-olsen-auto.html pip auto ] [http://s1.shard.jp/olharder/autoroll-654.html url] [http://s1.shard.jp/olharder/napa-auto-parts.html auto site trader uk ] [http://s1.shard.jp/olharder/chery-automobile.html duplicate automobile title ] [http://s1.shard.jp/bireba/download-symantec.html avg free antivirus review ] [http://s1.shard.jp/galeach/new173.html asian gang shooting ] [http://s1.shard.jp/bireba/alerta-antiviruses.html alerta antivirus.es] [http://s1.shard.jp/bireba/mc-afee-antivirus.html good antivirus programs ] [http://s1.shard.jp/olharder/autoroll-654.html index] [http://s1.shard.jp/bireba/antivirus2003.html antivirus2003] [http://s1.shard.jp/losaul/newcastle-australia.html griffith university brisbane australia ] [http://s1.shard.jp/bireba/grisoft-antivirus.html panda titanium 2006 antivirus crack ] [http://s1.shard.jp/olharder/used-automobile.html used automobile louisville] [http://s1.shard.jp/bireba/the-symantec-antivirus.html server2003 antivirus ] [http://s1.shard.jp/losaul/1999-australian.html husqvarna sewing machines australia ] [http://s1.shard.jp/losaul/alice-springs.html australian art gallery sydney ] [http://s1.shard.jp/olharder/jl-french-automotive.html auto body college repair state ] [http://s1.shard.jp/olharder/automation-expense.html united automobile insurance company illinois ] [http://s1.shard.jp/frhorton/k7b9qt4bf.html africa airline onetime south ] [http://s1.shard.jp/olharder/autoroll-654.html top] [http://s1.shard.jp/olharder/auto-emissions-test.html insurance automobile ] [http://s1.shard.jp/frhorton/w2yqtuc7f.html east african community of orange county ] [http://s1.shard.jp/losaul/tenders-australian.html average weekly earnings australia ] [http://s1.shard.jp/frhorton/1aei449pv.html africa business forum ] [http://s1.shard.jp/galeach/new146.html euthanasia views ] [http://s1.shard.jp/bireba/extendia-antivirus.html antivirus software for pc ] [http://s1.shard.jp/losaul/emmigrating-australia.html australian animal print ] [http://s1.shard.jp/frhorton/lr43ii5kv.html african american proverb ] [http://s1.shard.jp/galeach/new68.html disneychannel asia ] [http://s1.shard.jp/olharder/autoroll-654.html index] [http://s1.shard.jp/bireba/antivirus-checking.html norton antivirus definitions disk ] [http://s1.shard.jp/frhorton/lyfh4c7mt.html africa car luxury rental south ] [http://s1.shard.jp/bireba/download-norton.html types of antivirus software ] [http://s1.shard.jp/bireba/symantec-antivirus.html norman antivirus download ] [http://s1.shard.jp/bireba/download-norton.html download norton antivirus 2004 full version] [http://s1.shard.jp/galeach/new196.html optasia electronics ] [http://s1.shard.jp/bireba/antivirus-trials.html installing antivirus software ] [http://s1.shard.jp/frhorton/fejuk5z5f.html african ancestry dna testing] [http://s1.shard.jp/bireba/review-zone-alarm.html tim oleary australian antivirus ] [http://s1.shard.jp/olharder/download-autoroute.html auto arrange desktop icons ] [http://s1.shard.jp/galeach/new119.html asian tsunami blogs ] [http://s1.shard.jp/losaul/time-difference.html look bikes australia ] [http://s1.shard.jp/bireba/panda-free-antivirus.html download free norton antivirus software ] [http://s1.shard.jp/galeach/new130.html lyrics to fantasia barrino ] [http://s1.shard.jp/frhorton/h9wk8xs2j.html interfund south africa]
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	{{Manual TOC Sidebar}}		{{Manual TOC Sidebar}}

CacelC4tli at 11:23, 22 May 2009

2009-05-22T11:23:05Z

← Older revision		Revision as of 07:23, 22 May 2009
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			http://www.textpaslisi.com
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Drorbn: Reverted edits by DelboCacda (Talk); changed back to last version by DrorsRobot

2008-07-14T05:04:00Z

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

← Older revision		Revision as of 01:04, 14 July 2008
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	drondelolo
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DelboCacda: racdeldron

2008-07-13T20:34:20Z

racdeldron

← Older revision		Revision as of 16:34, 13 July 2008
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			drondelolo
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DrorsRobot at 16:50, 30 August 2005

2005-08-30T16:50:48Z

← Older revision	Revision as of 12:50, 30 August 2005
(No difference)

DrorsRobot at 16:50, 30 August 2005

2005-08-30T16:50:48Z

← Older revision		Revision as of 12:50, 30 August 2005
Line 91:		Line 91:
	{{In\|		{{In\|
	n = 9 \|		n = 9 \|
			in = <nowiki>K1 = PD[
	in = <nowiki>K1 = PD[X[1,9,2,8], X[3,10,4,11], X[5,3,6,2], X[7,1,8,13], X[9,4,10,5], X[11,7,12,6], P[12,13]];</nowiki>}}
			X[1,9,2,8], X[3,10,4,11], X[5,3,6,2],
			X[7,1,8,13], X[9,4,10,5], X[11,7,12,6],
			P[12,13]
			];</nowiki>}}
	<!--END-->		<!--END-->

Drorbn at 16:50, 30 August 2005

2005-08-30T16:50:37Z

← Older revision		Revision as of 12:50, 30 August 2005
Line 83:		Line 83:
	For example, we could add an extra "point" on the Miller Institute knot, splitting edge 12 into two pieces, labeled 12 and 13:		For example, we could add an extra "point" on the Miller Institute knot, splitting edge 12 into two pieces, labeled 12 and 13:

			<!--$$K1 = PD[
	<!--$$K1 = PD[X[1,9,2,8], X[3,10,4,11], X[5,3,6,2], X[7,1,8,13], X[9,4,10,5], X[11,7,12,6], P[12,13]];$$-->
			X[1,9,2,8], X[3,10,4,11], X[5,3,6,2],
			X[7,1,8,13], X[9,4,10,5], X[11,7,12,6],
			P[12,13]
			];$$-->
	<!--Robot Land, no human edits to "END"-->		<!--Robot Land, no human edits to "END"-->
	{{In\|		{{In\|