Sequential space - Revision history

en>Trumpet marietta 45750 at 15:52, 26 December 2014

2014-12-26T15:52:01Z

← Older revision		Revision as of 17:52, 26 December 2014
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	~~{{for\|the character\|Jenny Harrison (Shortland Street)}}~~		The title of the author is Figures but it's not the most masucline title out there. For many years I've been working as a payroll clerk. To gather cash is a factor that I'm totally addicted to. His family members lives in South Dakota but his spouse desires them to transfer.<br><br>Here is my weblog - home std test kit ([http://www.buzzbit.net/blog/288042 click the next webpage])
	[[File:Jenny Harrison.jpeg\|thumb\|right\|Jenny Harrison]]'''Jenny Harrison''' is a professor of mathematics at [[UC Berkeley]]. She specializes in [[geometric analysis]] and areas in the intersection of [[algebra]], [[geometry]], and [[geometric measure theory]]. She introduced and developed with collaborators a theory of [[generalized functions]] called [[differential chains]]<ref>[http://math.berkeley.edu/~harrison/Publications_files/HarrisonPlateau.pdf] Jenny Harrison, Operator calculus of differential chains and differential forms, to appear in the Journal of Geometric Analysis, arxiv posting January 2011, 89 pages</ref><ref name="TA">J. Harrison and H. Pugh, Topological Aspects of Differential Chains, Journal of Geometric Analysis, 22 (2012), no. 3, 685–690</ref> that unifies an infinitesimal calculus with the classical theory of the smooth continuum, a long outstanding problem. The ~~infinitesimals are constructive and arise from methods~~ of ~~standard analysis, as opposed to~~ the ~~nonstandard analysis of [[Abraham Robinson]]. The methods apply equally well to domains such as [[soap film]]~~s~~, [[fractals]], charged particles, and [[Whitney conditions\|Whitney stratified spaces]], placing them on~~ the same footing as smooth [[submanifold]]s in the resulting calculus. The results include optimal generalizations and simplifications of the theorems of Stokes, Gauss and Green. She has pioneered applications of differential chains to the calculus of variations, physics, and continuum mechanics. ~~Her solution to [[Plateau~~'~~s problem]]<ref>[http://link~~.~~springer.com/article/10.1007/s12220-012-9337-x] Jenny Harrison, Soap film solutions to Plateau's problem, Journal of Geometric Analysis, Springer Online First, September, 2012</ref>~~ is ~~the first proof of existence of~~ a ~~solution in a category with a continuous boundary operator and~~ that ~~contains representatives of all soap films, as well as solutions of [[Jesse Douglas]],<ref>Jesse Douglas, Solutions of the problem of Plateau, Transactions of the American Mathematical Society 33~~
	~~(1931), 263–321</ref> [[Herbert Federer]] and [[Wendell Fleming]]~~.~~<ref>Herbert Federer and Wendell Fleming, Normal and integral currents, The Annals of Mathematics 72 (1960), no. 3, 458–520</ref>~~

	~~Harrison grew up~~ in ~~Tuscaloosa, Alabama. Her graduate studies were at the [[University of Warwick]], where her adviser [[E.C. Zeeman]] introduced her~~ to ~~[[Plateau's problem]]. [[Hassler Whitney]] was her postdoctoral adviser at the [[Institute for Advanced Study]]~~. ~~She found a counterexample to the [[Seifert conjecture]]~~<~~ref~~>~~Jenny Harrison,~~ <~~math~~> C^2 </math> counterexamples to the Seifert conjecture. Topology (journal)\|Topology, vol. 27, no. 3, pp. 249–278, 1988</ref> while on the faculty at [[Oxford University]]. In a [[U.C. Berkeley\|Berkeley]] seminar in 1983 she proposed the existence of a general theory linking these together, and the theory of differential chains began to evolve.

	~~Jenny Harrison and Harrison Pugh recently proved that the theory of differential chains~~ is ~~distinct from the theory of Schwartz [[distribution (mathematics)\|distribution]]s and de Rham [[current~~ (mathematics)\|current]]s, settling a question posed by [[Michael Atiyah]] in 1996. Furthermore, their paper<ref name="TA" /> shows the [[topological vector space]] of differential chains satisfies a [[universal property]] determined by three natural axioms.

	~~==Gender discrimination lawsuit==~~
	Harrison initiated a lawsuit based on gender discrimination in the 1986 tenure decision by the Berkeley mathematics department. The case attracted international attention. The 1993 settlement led to a new review of her work by a panel of seven mathematicians and science faculty who unanimously recommended tenure as a full professor. The review included her generalization of [[Stokes' theorem]] to nonsmooth domains. [[Stephen Smale]] and [[Robion Kirby]] were the most vocal opponents to her receiving tenure during the case, while [[Morris Hirsch]] and [[James A. Yorke\|James Yorke]] were her most vocal supporters.

	~~==References==~~
	~~{{reflist}}~~

	~~==External links==~~
	* [http://~~math~~.~~berkeley~~.~~edu~~/~~~harrison~~/ ~~Harrison's~~ webpage]

	* {{MathGenealogy\|id=32887}}

	~~{{Persondata <!-- Metadata: see [[Wikipedia:Persondata]]. -->~~
	~~\| NAME = Harrison, Jenny~~
	~~\| ALTERNATIVE NAMES =~~
	~~\| SHORT DESCRIPTION = American mathematician~~
	~~\| DATE OF BIRTH =~~
	~~\| PLACE OF BIRTH =~~
	~~\| DATE OF DEATH =~~
	~~\| PLACE OF DEATH =~~
	}}
	~~{{DEFAULTSORT:Harrison, Jenny}}~~
	~~[[Category:Living people]]~~
	~~[[Category:American mathematicians]]~~
	~~[[Category:Alumni of the University of Warwick]]~~
	~~[[Category:Princeton University staff]]~~
	~~[[Category:Academics of the University of Oxford]]~~
	~~[[Category:University of California, Berkeley faculty]]~~

67.177.187.155: /* Sequential closure */

2013-11-26T16:39:40Z

Sequential closure

← Older revision		Revision as of 18:39, 26 November 2013
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	~~Her name is Felicidad Ahmad. To play croquet is~~ the ~~hobby I will by no means quit doing~~. ~~The occupation he~~'~~s been occupying for years~~ is a ~~messenger~~. ~~Alabama has usually been his home~~ and ~~his family members enjoys it~~.<br><br>~~Feel free~~ to ~~surf~~ to ~~my page;~~ [http://~~Www~~.~~Caribbeansocialnetwork~~.com/~~groups~~/~~easy~~-~~diy~~-~~repair-strategies~~-for~~-your-automobile~~/ http://~~Www~~.~~Caribbeansocialnetwork~~.~~com~~]		{{for\|the character\|Jenny Harrison (Shortland Street)}}
			[[File:Jenny Harrison.jpeg\|thumb\|right\|Jenny Harrison]]'''Jenny Harrison''' is a professor of mathematics at [[UC Berkeley]]. She specializes in [[geometric analysis]] and areas in the intersection of [[algebra]], [[geometry]], and [[geometric measure theory]]. She introduced and developed with collaborators a theory of [[generalized functions]] called [[differential chains]]<ref>[http://math.berkeley.edu/~harrison/Publications_files/HarrisonPlateau.pdf] Jenny Harrison, Operator calculus of differential chains and differential forms, to appear in the Journal of Geometric Analysis, arxiv posting January 2011, 89 pages</ref><ref name="TA">J. Harrison and H. Pugh, Topological Aspects of Differential Chains, Journal of Geometric Analysis, 22 (2012), no. 3, 685–690</ref> that unifies an infinitesimal calculus with the classical theory of the smooth continuum, a long outstanding problem. The infinitesimals are constructive and arise from methods of standard analysis, as opposed to the nonstandard analysis of [[Abraham Robinson]]. The methods apply equally well to domains such as [[soap film]]s, [[fractals]], charged particles, and [[Whitney conditions\|Whitney stratified spaces]], placing them on the same footing as smooth [[submanifold]]s in the resulting calculus. The results include optimal generalizations and simplifications of the theorems of Stokes, Gauss and Green. She has pioneered applications of differential chains to the calculus of variations, physics, and continuum mechanics. Her solution to [[Plateau's problem]]<ref>[http://link.springer.com/article/10.1007/s12220-012-9337-x] Jenny Harrison, Soap film solutions to Plateau's problem, Journal of Geometric Analysis, Springer Online First, September, 2012</ref> is the first proof of existence of a solution in a category with a continuous boundary operator and that contains representatives of all soap films, as well as solutions of [[Jesse Douglas]],<ref>Jesse Douglas, Solutions of the problem of Plateau, Transactions of the American Mathematical Society 33
			(1931), 263–321</ref> [[Herbert Federer]] and [[Wendell Fleming]].<ref>Herbert Federer and Wendell Fleming, Normal and integral currents, The Annals of Mathematics 72 (1960), no. 3, 458–520</ref>

			Harrison grew up in Tuscaloosa, Alabama. Her graduate studies were at the [[University of Warwick]], where her adviser [[E.C. Zeeman]] introduced her to [[Plateau's problem]]. [[Hassler Whitney]] was her postdoctoral adviser at the [[Institute for Advanced Study]]. She found a counterexample to the [[Seifert conjecture]]<ref>Jenny Harrison, <math> C^2 </math> counterexamples to the Seifert conjecture. Topology (journal)\|Topology, vol. 27, no. 3, pp. 249–278, 1988</ref> while on the faculty at [[Oxford University]]. In a [[U.C. Berkeley\|Berkeley]] seminar in 1983 she proposed the existence of a general theory linking these together, and the theory of differential chains began to evolve.

			Jenny Harrison and Harrison Pugh recently proved that the theory of differential chains is distinct from the theory of Schwartz [[distribution (mathematics)\|distribution]]s and de Rham [[current (mathematics)\|current]]s, settling a question posed by [[Michael Atiyah]] in 1996. Furthermore, their paper<ref name="TA" /> shows the [[topological vector space]] of differential chains satisfies a [[universal property]] determined by three natural axioms.

			==Gender discrimination lawsuit==
			Harrison initiated a lawsuit based on gender discrimination in the 1986 tenure decision by the Berkeley mathematics department. The case attracted international attention. The 1993 settlement led to a new review of her work by a panel of seven mathematicians and science faculty who unanimously recommended tenure as a full professor. The review included her generalization of [[Stokes' theorem]] to nonsmooth domains. [[Stephen Smale]] and [[Robion Kirby]] were the most vocal opponents to her receiving tenure during the case, while [[Morris Hirsch]] and [[James A. Yorke\|James Yorke]] were her most vocal supporters.

			==References==
			{{reflist}}

			==External links==
			* [http://math.berkeley.edu/~harrison/ Harrison's webpage]

			* {{MathGenealogy\|id=32887}}

			{{Persondata <!-- Metadata: see [[Wikipedia:Persondata]]. -->
			\| NAME = Harrison, Jenny
			\| ALTERNATIVE NAMES =
			\| SHORT DESCRIPTION = American mathematician
			\| DATE OF BIRTH =
			\| PLACE OF BIRTH =
			\| DATE OF DEATH =
			\| PLACE OF DEATH =
			}}
			{{DEFAULTSORT:Harrison, Jenny}}
			[[Category:Living people]]
			[[Category:American mathematicians]]
			[[Category:Alumni of the University of Warwick]]
			[[Category:Princeton University staff]]
			[[Category:Academics of the University of Oxford]]
			[[Category:University of California, Berkeley faculty]]

en>ZéroBot: Robot: Adding ja:列型空間

2012-07-19T19:51:49Z

Robot: Adding ja:列型空間

New page

Her name is Felicidad Ahmad. To play croquet is the hobby I will by no means quit doing. The occupation he's been occupying for years is a messenger. Alabama has usually been his home and his family members enjoys it.<br><br>Feel free to surf to my page; [http://Www.Caribbeansocialnetwork.com/groups/easy-diy-repair-strategies-for-your-automobile/ http://Www.Caribbeansocialnetwork.com]