Stabilizer code - Revision history

194.94.98.190: /* Relation between Pauli group and binary vectors */

2014-02-12T10:49:50Z

Relation between Pauli group and binary vectors

← Older revision		Revision as of 12:49, 12 February 2014
Line 1:		Line 1:
	The ~~'''hydrodynamic radius'''~~ of ~~a [[macromolecule]] or [[colloid]] particle has two meanings.~~ ~~Some books use it as a synonym for the~~ [~~[Stokes radius]]~~.		The title of the writer is std testing [http://youulike.com/blogs/114396/390615/items-to-know-when-confronted-wi at home std test] home Figures. One of [http://Www.Eddysadventurestore.nl/nieuws/eliminate-candida-one-these-tips over the counter std test] issues she enjoys most is to study comics and she'll be starting something else along with it. Her spouse and her live in at home [http://rhrealitycheck.org/article/2013/02/22/trich-the-most-common-sexually-transmitted-infection-you-may-never-have-heard-of/ std testing] Puerto Rico but she will have to transfer one working day or an additional. Since she was 18 she's been working as [http://www.ddhelicam.com/board_Kurr59/59568 home std test] a meter reader but she's usually wanted her personal company.
	~~<ref > {{cite book \| author = Gert R. Strobl~~
	~~\| title= The Physics of Polymers Concepts for Understanding Their Structures and Behavior\| publisher=Springer~~-~~Verlag \| year=1996 \| isbn = 3~~-~~540~~-~~60768~~-~~4 }} Section 6~~.~~4 page 290~~. </~~ref>~~

	~~Others books define a theoretical hydrodynamic radius <math>R_{\rm hyd}<~~/~~math>. They consider~~ the ~~macromolecule or colloid particle~~ to be ~~a collection of <math>N</math> subparticles~~. ~~This is done most commonly for~~ [~~[polymer]]s; the subparticles would then be the units of the polymer~~. ~~<math>R_{\rm hyd}<~~/~~math> is defined by~~

	~~:<math>~~
	~~\frac{1}{R_{\rm hyd}} \ \stackrel{\mathrm{def}}{=}\ \frac{1}{N^{2}} \left\langle \sum_{i \neq j} \frac{1}{r_{ij}} \right\rangle~~
	</~~math>~~

	~~where <math>r_{ij}<~~/~~math> is the distance between subparticles <math>i<~~/~~math> and <math>j<~~/~~math>, and where~~ the ~~angular brackets <math>\langle \ldots \rangle</math> represent an [[ensemble average]].~~
	~~<ref > {{cite book \| author = J. Des Cloizeaux and G. Jannink~~
	~~\| title= Polymers in Solution Their Modelling and Structure \| publisher=Clarendon Press \| year=1990 \| isbn = 0~~-19-~~852036~~-~~0 }} Chapter 10, Section 7.4, pages 415~~-~~417. </ref> The theoretical hydrodynamic radius <math>R_{\rm hyd}</math> was originally an estimate by [[John Gamble Kirkwood]] of the [[Stokes radius]]~~ of ~~a polymer.~~

	~~The theoretical hydrodynamic radius <math>R_{\rm hyd}<~~/~~math> arises in the study of the dynamic properties of polymers moving in a [[solvent]~~]. ~~It is often similar in magnitude to the~~ [~~[radius of gyration]]~~.

	~~==Notes==~~
	~~<references~~/>

	~~==References==~~
	~~Grosberg AY and Khokhlov AR. (1994)~~ '~~'Statistical Physics of Macromolecules'' (translated by Atanov YA), AIP Press~~. ~~ISBN 1-56396-071-0~~

	~~[[Category:Polymer physics]]~~

en>I2000s: /* Relation between Pauli group and binary vectors */ Cleaned a whole bunch of repeated wiki links.

2014-01-07T05:37:08Z

Relation between Pauli group and binary vectors: Cleaned a whole bunch of repeated wiki links.

← Older revision		Revision as of 07:37, 7 January 2014
Line 1:		Line 1:
	~~Hello~~. ~~Let me introduce~~ the author. ~~Her~~ title ~~is Refugia Shryock~~. ~~North Dakota is her birth location but she will have~~ to ~~transfer one working day or another~~. ~~Doing ceramics~~ is ~~what love performing. For many years he'~~s ~~been working as a meter reader and it's some thing he truly enjoy~~.<br><br>~~Look at my weblog - std home test - [http~~://~~www~~.~~youporn~~-~~nederlandse~~.~~com~~/~~blog~~/~~117384 visit~~ the ~~up coming website~~] -		The '''hydrodynamic radius''' of a [[macromolecule]] or [[colloid]] particle has two meanings. Some books use it as a synonym for the [[Stokes radius]].
			<ref > {{cite book \| author = Gert R. Strobl
			\| title= The Physics of Polymers Concepts for Understanding Their Structures and Behavior\| publisher=Springer-Verlag \| year=1996 \| isbn = 3-540-60768-4 }} Section 6.4 page 290. </ref>

			Others books define a theoretical hydrodynamic radius <math>R_{\rm hyd}</math>. They consider the macromolecule or colloid particle to be a collection of <math>N</math> subparticles. This is done most commonly for [[polymer]]s; the subparticles would then be the units of the polymer. <math>R_{\rm hyd}</math> is defined by

			:<math>
			\frac{1}{R_{\rm hyd}} \ \stackrel{\mathrm{def}}{=}\ \frac{1}{N^{2}} \left\langle \sum_{i \neq j} \frac{1}{r_{ij}} \right\rangle
			</math>

			where <math>r_{ij}</math> is the distance between subparticles <math>i</math> and <math>j</math>, and where the angular brackets <math>\langle \ldots \rangle</math> represent an [[ensemble average]].
			<ref > {{cite book \| author = J. Des Cloizeaux and G. Jannink
			\| title= Polymers in Solution Their Modelling and Structure \| publisher=Clarendon Press \| year=1990 \| isbn = 0-19-852036-0 }} Chapter 10, Section 7.4, pages 415-417. </ref> The theoretical hydrodynamic radius <math>R_{\rm hyd}</math> was originally an estimate by [[John Gamble Kirkwood]] of the [[Stokes radius]] of a polymer.

			The theoretical hydrodynamic radius <math>R_{\rm hyd}</math> arises in the study of the dynamic properties of polymers moving in a [[solvent]]. It is often similar in magnitude to the [[radius of gyration]].

			==Notes==
			<references/>

			==References==
			Grosberg AY and Khokhlov AR. (1994) ''Statistical Physics of Macromolecules'' (translated by Atanov YA), AIP Press. ISBN 1-56396-071-0

			[[Category:Polymer physics]]

en>SchreiberBike: Added "Disambiguation Needed" note to the link for Phase.

2012-01-16T22:01:12Z

Added "Disambiguation Needed" note to the link for Phase.

New page

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