Quasirandomness - Revision history

OBryant: Undo spam revision 3148 by XavierErnandez (Talk)

2010-07-08T13:08:33Z

Undo spam revision 3148 by XavierErnandez (Talk)

← Older revision		Revision as of 06:08, 8 July 2010
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	Quasirandomness is a central concept in extremal combinatorics, and is likely to play an important role in any combinatorial proof of the density Hales-Jewett theorem. This will be particularly true if that proof is based on the [[density increment method]] or on some kind of generalization of [[Szemerédi's regularity lemma]].		Quasirandomness is a central concept in extremal combinatorics, and is likely to play an important role in any combinatorial proof of the density Hales-Jewett theorem. This will be particularly true if that proof is based on the [[density increment method]] or on some kind of generalization of [[Szemerédi's regularity lemma]].

	In general, one has some kind of parameter associated with a set, which in our case will be the number of combinatorial lines it contains, and one would like a ''deterministic'' definition of the word "quasirandom" with the following key property. ~~[http://www.casino-spielen.biz/roulette-spielen roulette spielen]~~		In general, one has some kind of parameter associated with a set, which in our case will be the number of combinatorial lines it contains, and one would like a ''deterministic'' definition of the word "quasirandom" with the following key property.

	*Every quasirandom set <math>\mathcal{A}</math> has roughly the same value of the given parameter as a random set of the same density.		*Every quasirandom set <math>\mathcal{A}</math> has roughly the same value of the given parameter as a random set of the same density.

XavierErnandez at 08:45, 8 July 2010

2010-07-08T08:45:42Z

← Older revision		Revision as of 01:45, 8 July 2010
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	Quasirandomness is a central concept in extremal combinatorics, and is likely to play an important role in any combinatorial proof of the density Hales-Jewett theorem. This will be particularly true if that proof is based on the [[density increment method]] or on some kind of generalization of [[Szemerédi's regularity lemma]].		Quasirandomness is a central concept in extremal combinatorics, and is likely to play an important role in any combinatorial proof of the density Hales-Jewett theorem. This will be particularly true if that proof is based on the [[density increment method]] or on some kind of generalization of [[Szemerédi's regularity lemma]].

	In general, one has some kind of parameter associated with a set, which in our case will be the number of combinatorial lines it contains, and one would like a ''deterministic'' definition of the word "quasirandom" with the following key property.		In general, one has some kind of parameter associated with a set, which in our case will be the number of combinatorial lines it contains, and one would like a ''deterministic'' definition of the word "quasirandom" with the following key property. [http://www.casino-spielen.biz/roulette-spielen roulette spielen]

	*Every quasirandom set <math>\mathcal{A}</math> has roughly the same value of the given parameter as a random set of the same density.		*Every quasirandom set <math>\mathcal{A}</math> has roughly the same value of the given parameter as a random set of the same density.

Teorth: Protected "Quasirandomness" [edit=autoconfirmed:move=autoconfirmed]

2009-03-16T01:26:00Z

Protected "Quasirandomness" [edit=autoconfirmed:move=autoconfirmed]

← Older revision	Revision as of 18:26, 15 March 2009
(No difference)

Teorth: Reverted edits by 194.176.176.82 (Talk) to last version by Teorth

2009-03-16T01:25:27Z

Reverted edits by 194.176.176.82 (Talk) to last version by Teorth

← Older revision		Revision as of 18:25, 15 March 2009
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	~~http://www~~.~~viddler~~.~~com/explore/angelinajolienu angelina jolie naked http://forums~~.~~denverbroncos.com~~/~~member~~.~~php?u=362359 angelina jolie naked http:/~~/~~forums~~.~~slimdevices~~.~~com~~/~~member~~.~~php?u=27319 angelina jolie naked http~~:~~//www.jamendo~~.~~com/en/user/angelina_jolie_nude angelina jolie naked http://www.justin.tv/angelina_jolie_twins/profile angelina jolie naked~~		==Introduction==

			Quasirandomness is a central concept in extremal combinatorics, and is likely to play an important role in any combinatorial proof of the density Hales-Jewett theorem. This will be particularly true if that proof is based on the [[density increment method]] or on some kind of generalization of [[Szemerédi's regularity lemma]].

			In general, one has some kind of parameter associated with a set, which in our case will be the number of combinatorial lines it contains, and one would like a ''deterministic'' definition of the word "quasirandom" with the following key property.

			*Every quasirandom set <math>\mathcal{A}</math> has roughly the same value of the given parameter as a random set of the same density.

			Needless to say, this is not the ''only'' desirable property of the definition, since otherwise we could just define <math>\mathcal{A}</math> to be quasirandom if it has roughly the same value of the given parameter as a random set of the same density. The second key property is this.

			*Every set <math>\mathcal{A}</math> that ''fails'' to be quasirandom has some other property that we can exploit.

			These two properties are already discussed in some detail in the [[density increment method\|article on the density increment method]]: this article concentrates more on examples of quasirandomness in other contexts, and possible definitions of quasirandomness connected with the density Hales-Jewett theorem.

	==A possible definition of quasirandom subsets of <math>[3]^n</math>==		==A possible definition of quasirandom subsets of <math>[3]^n</math>==

194.176.176.82: /* Introduction */

2009-03-16T00:50:55Z

Introduction

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	~~==Introduction==~~		http://www.viddler.com/explore/angelinajolienu angelina jolie naked http://forums.denverbroncos.com/member.php?u=362359 angelina jolie naked http://forums.slimdevices.com/member.php?u=27319 angelina jolie naked http://www.jamendo.com/en/user/angelina_jolie_nude angelina jolie naked http://www.justin.tv/angelina_jolie_twins/profile angelina jolie naked

	~~Quasirandomness is a central concept in extremal combinatorics, and is likely to play an important role in any combinatorial proof of the density Hales-Jewett theorem~~. ~~This will be particularly true if that proof is based on the [[density increment method]] or on some kind of generalization of [[Szemerédi's regularity lemma]]~~.

	In general, one has some kind of parameter associated with a set, which in our case will be the number of combinatorial lines it contains, and one would like a ''deterministic'' definition of the word "quasirandom" with the following key property.

	*Every quasirandom set <math>\mathcal{A}</~~math> has roughly the same value of the given parameter as a random set of the same density~~.

	~~Needless to say, this is not the ''only'' desirable property of the definition, since otherwise we could just define <math>\mathcal{A}<~~/~~math> to be quasirandom if it has roughly the same value of the given parameter as a random set of the same density~~. ~~The second key property is this~~.

	*Every set <math>\mathcal{A}</~~math> that ''fails'' to be quasirandom has some other property that we can exploit~~.

	~~These two properties are already discussed in some detail in the [[density increment method\|article on the density increment method]]~~: ~~this article concentrates more on examples of quasirandomness in other contexts, and possible definitions of quasirandomness connected with the density Hales-Jewett theorem~~.

	==A possible definition of quasirandom subsets of <math>[3]^n</math>==		==A possible definition of quasirandom subsets of <math>[3]^n</math>==

Teorth: /* Introduction */ further cleanup of vandalism

2009-03-15T16:21:55Z

Introduction: further cleanup of vandalism

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	These two properties are already discussed in some detail in the [[density increment method\|article on the density increment method]]: this article concentrates more on examples of quasirandomness in other contexts, and possible definitions of quasirandomness connected with the density Hales-Jewett theorem.		These two properties are already discussed in some detail in the [[density increment method\|article on the density increment method]]: this article concentrates more on examples of quasirandomness in other contexts, and possible definitions of quasirandomness connected with the density Hales-Jewett theorem.

	http://www.justin.tv/adultism1/profile adultism http://forums.denverbroncos.com/member.php?u=362228 adultism http://www.viddler.com/explore/adultism adultism http://forums.slimdevices.com/member.php?u=26983 adultism http://www.jamendo.com/en/user/adultism adultism

	==A possible definition of quasirandom subsets of <math>[3]^n</math>==		==A possible definition of quasirandom subsets of <math>[3]^n</math>==

Teorth: Undo revision 895 by 200.35.151.202 (Talk)

2009-03-15T16:21:26Z

Undo revision 895 by 200.35.151.202 (Talk)

← Older revision		Revision as of 09:21, 15 March 2009
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	~~http:~~//~~todaythez~~.~~50webs~~.~~com~~/ ~~Lancashire Bmf~~		==Introduction==

			Quasirandomness is a central concept in extremal combinatorics, and is likely to play an important role in any combinatorial proof of the density Hales-Jewett theorem. This will be particularly true if that proof is based on the [[density increment method]] or on some kind of generalization of [[Szemerédi's regularity lemma]].

			In general, one has some kind of parameter associated with a set, which in our case will be the number of combinatorial lines it contains, and one would like a ''deterministic'' definition of the word "quasirandom" with the following key property.

			*Every quasirandom set <math>\mathcal{A}</math> has roughly the same value of the given parameter as a random set of the same density.

			Needless to say, this is not the ''only'' desirable property of the definition, since otherwise we could just define <math>\mathcal{A}</math> to be quasirandom if it has roughly the same value of the given parameter as a random set of the same density. The second key property is this.

			*Every set <math>\mathcal{A}</math> that ''fails'' to be quasirandom has some other property that we can exploit.

			These two properties are already discussed in some detail in the [[density increment method\|article on the density increment method]]: this article concentrates more on examples of quasirandomness in other contexts, and possible definitions of quasirandomness connected with the density Hales-Jewett theorem.

	http://www.justin.tv/adultism1/profile adultism http://forums.denverbroncos.com/member.php?u=362228 adultism http://www.viddler.com/explore/adultism adultism http://forums.slimdevices.com/member.php?u=26983 adultism http://www.jamendo.com/en/user/adultism adultism		http://www.justin.tv/adultism1/profile adultism http://forums.denverbroncos.com/member.php?u=362228 adultism http://www.viddler.com/explore/adultism adultism http://forums.slimdevices.com/member.php?u=26983 adultism http://www.jamendo.com/en/user/adultism adultism

83.170.204.106: /* Examples of quasirandomness definitions */

2009-03-15T16:12:12Z

Examples of quasirandomness definitions

@@ Line 1: / Line 1: @@
 http://todaythez.50webs.com/ Lancashire Bmf
-==Examples of quasirandomness definitions==
+http://www.justin.tv/adultism1/profile adultism http://forums.denverbroncos.com/member.php?u=362228 adultism http://www.viddler.com/explore/adultism adultism http://forums.slimdevices.com/member.php?u=26983 adultism http://www.jamendo.com/en/user/adultism adultism
 ==A possible definition of quasirandom subsets of <math>[3]^n</math>==

200.35.151.202: /* Introduction */

2009-03-15T12:46:22Z

Introduction

← Older revision		Revision as of 05:46, 15 March 2009
Line 1:		Line 1:
	~~==Introduction==~~		http://todaythez.50webs.com/ Lancashire Bmf

	Quasirandomness is a central concept in extremal combinatorics, and is likely to play an important role in any combinatorial proof of the density Hales-Jewett theorem. This will be particularly true if that proof is based on the [[density increment method]] or on some kind of generalization of [[Szemerédi's regularity lemma]].

	In general, one has some kind of parameter associated with a set, which in our case will be the number of combinatorial lines it contains, and one would like a ''deterministic'' definition of the word "quasirandom" with the following key property.

	*Every quasirandom set <math>\mathcal{A}</~~math> has roughly the same value of the given parameter as a random set of the same density.~~

	~~Needless to say, this is not the ''only'' desirable property of the definition, since otherwise we could just define <math>\mathcal{A}<~~/~~math> to be quasirandom if it has roughly the same value of the given parameter as a random set of the same density~~. ~~The second key property is this~~.

	*Every set <math>\mathcal{A}</~~math> that ''fails'' to be quasirandom has some other property that we can exploit.~~

	These two properties are already discussed in some detail in the [[density increment method\|article on the density increment method]]: this article concentrates more on examples of quasirandomness in other contexts, and possible definitions of quasirandomness connected with the density Hales-Jewett theorem.

	==Examples of quasirandomness definitions==		==Examples of quasirandomness definitions==

68.101.122.86: Undo revision 888 by 168.172.251.253 (Talk)

2009-03-15T05:31:08Z

Undo revision 888 by 168.172.251.253 (Talk)

← Older revision		Revision as of 22:31, 14 March 2009
Line 1:		Line 1:
	~~http://www.viddler.com/explore/jenniferanistos jennifer aniston naked http://www.justin.tv/jenniferanistonnaked214/profile jennifer aniston naked http://forums.slimdevices.com/member.php?u~~=~~26972 jennifer aniston naked http://www.jamendo.com/en/user/jenniferanistonnaked421 jennifer aniston naked http://forums.denverbroncos.com/member.php?u~~=~~362224 jennifer aniston naked http://www.justin.tv/asswatcher21/profile asswatcher http://www.viddler~~.~~com/explore/asswatcher asswatcher http://forums~~.~~slimdevices~~.~~com~~/~~member~~.~~php?u=26980 asswatcher http:/~~/~~forums~~.~~denverbroncos~~.~~com~~/~~member~~.~~php?u=362226 asswatcher http~~:~~//www.jamendo~~.~~com/en/user/asswatcher asswatcher~~		==Introduction==

			Quasirandomness is a central concept in extremal combinatorics, and is likely to play an important role in any combinatorial proof of the density Hales-Jewett theorem. This will be particularly true if that proof is based on the [[density increment method]] or on some kind of generalization of [[Szemerédi's regularity lemma]].

			In general, one has some kind of parameter associated with a set, which in our case will be the number of combinatorial lines it contains, and one would like a ''deterministic'' definition of the word "quasirandom" with the following key property.

			*Every quasirandom set <math>\mathcal{A}</math> has roughly the same value of the given parameter as a random set of the same density.

			Needless to say, this is not the ''only'' desirable property of the definition, since otherwise we could just define <math>\mathcal{A}</math> to be quasirandom if it has roughly the same value of the given parameter as a random set of the same density. The second key property is this.

			*Every set <math>\mathcal{A}</math> that ''fails'' to be quasirandom has some other property that we can exploit.

			These two properties are already discussed in some detail in the [[density increment method\|article on the density increment method]]: this article concentrates more on examples of quasirandomness in other contexts, and possible definitions of quasirandomness connected with the density Hales-Jewett theorem.

	==Examples of quasirandomness definitions==		==Examples of quasirandomness definitions==