formulasearchengine - User contributions [en]

Sequential space

2013-11-26T16:39:40Z

67.177.187.155: /* Sequential closure */

{{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 
| 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]]

Schrödinger equation

2008-10-30T00:05:03Z

67.177.101.159: /* Historical background and development */

The true property market in Singapore has witnessed unprecedented progress in current instances. Consequently, the real estate company sector is quick rising as as a profitable enterprise option. This information provides basic steering on beginning an actual property company in Singapore. Property Type Any Condo Studio Condominium Soho Items TownHouse Cluster Houses Landed Properties Terrace Home Bungalow Serviced Flats Conservation Residence Shop Home Warehouse Manufacturing facility Lodge Geylang, Singapore - $7 per hour And once you have gone through all of the laborious work of discovering a good agent, your job is nearly over. Your agent will be capable to present you the best house for hire in singapore and negotiate them for the very best value. You will be glad you set within the effort to discover a registered IEA agent ultimately – particularly when you'll be able to move into your new place and begin enjoying the tradition and scenery in Singapore. days of its receipt in Singapore if the document is signed abroad. Getting ready a house on the market Home Viewing Changi Rd, Singapore 312252 ‎ On the time of handover, ensure that all your requests have been met. You or your agent ought to observe on the Inventory Record and take file pictures of any defects equivalent to broken flooring or broken gadgets. This will shield you on the termination of the lease. Signing your contracts and transferring in shouldn't be the top of the relationship along with your agent. A great agent will keep up a correspondence to supply ongoing assist and recommendation. Having ZERO information on the actual estate profession, I decided to interview a few real property top managers and administrators simply because I solely wished to affix the highest within the industry and I wished to actually know if there really is a formula for actual estate phenomenal success. For More Info On How You Speed up Your Actual Estate Success Go to As soon as you know how much to speculate, the subsequent step is to find the property that best suits your wants. A CEA licenced real property agent will be able to help you along with your property search in Singapore. The professional real estate agent will have the ability to characterize and defend your interest as well as to advise you on the properties that you have shortlisted and safe the property at the absolute best phrases in your curiosity. The property agent will be capable of ensure that the documentations are in order and you're coping with the rightful owner of the property. Shopping for or promoting a house is among the costliest, difficult events in your life, no because of the ever-altering government rules. Whether or not it's your eligibility for a loan or the bewildering range of vendor's stamp duties relying in your occupation period, it may well all snowball into one huge headache. So, most of us shell out good (commission) money [http://ureport.lk/node/4650 apartment for sale] a property agent hoping to faucet into their expertise to purchase that dream residence at a cut price or sell your property at a premium. Housing brokers might need the trade knowledge that can assist you make an excellent deal, but concentrate on what they are not telling you, too. We imagine in offering help simply in case you encouter any technical problem with your software program. Our package deal allow you to be familar with the software and you'll discover property management to be problem free. Assist Undertaking Microsite Gallery Itemizing Plugin with Lightbox impact and navigation and auto-watermark Capacity so as to add / edit or delete a gallery image of the Challenge Optional (Optionally available) Search Engine Advertising and marketing Package He showed us two flats and the one we favored was on the 18th degree with a pleasant outlook. We mentioned that we wish to rent it. On February 19 we had an appointment with the owner and his agent (A and H!) on the house handy over the keys. They went through all the things with a wonderful tooth comb. Means to characteristic Project The established partnership offers the agent complete confidence to go ahead and market the property. He does not have to fret about the deal being closed by one other agent. This ensures full dedication and advertising and marketing effort. Is this good for the owner? This is the simplest means which you can begin earlier than you'll be able to apply for the PIC grant to your profession. Many property agents want to claim for this grant by visiting the official web site of the IRAS. There are loads of useful data that can be noticed in this website. You may also be taught some required documents and steps that you need to do, so your PIC application will be accredited by the IRAS easily. JLL appointed unique agent for the sale of two, 4 and 6 Dunlop Avenue by Expression of Curiosity.