Haagerup property: Difference between revisions

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{{General relativity|cTopic=Solutions}}
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The '''Taub–NUT space''' ({{IPAc-en|t|ɑː|b|_|n|ʌ|t}}<ref>[[McGraw-Hill]] Science & Technology Dictionary: "Taub NUT space"</ref> or {{IPAc-en|t|ɑː|b|_|ɛ|n|juː|ˈ|t|iː}}) is an [[exact solutions in general relativity|exact solution]] to [[Einstein's equations]], a model [[universe]] formulated in the framework of [[general relativity]]<!-- that is [[Homogeneity (physics)|homogeneous]] but [[anisotropic]]-->.
 
The Taub–NUT metric was found by {{harvs|txt|first=Abraham Haskel|last=Taub|authorlink=Abraham Haskel Taub|year=1951}}, and extended to a larger manifold by {{harvs|txt | last2=Tamburino | first2=L. | last1=Newman |author1-link=Ezra T. Newman |first1=E. | last3=Unti | first3=T. | title=Empty-space generalization of the Schwarzschild metric | doi=10.1063/1.1704018 | id={{MR|0152345}} | year=1963 | journal=[[Journal of Mathematical Physics]] | issn=0022-2488 | volume=4 | pages=915–923}}, whose initials form the "NUT" of "Taub–NUT".
 
Taub's solution is an empty space solution of Einstein's equations with topology '''R'''×'''S'''<sup>3</sup> and metric
:<math>ds^2=-dt^2/U(t) + 4l^2U(t)(d\psi+ \cos\theta d\phi)^2+(t^2+l^2)(d\theta^2+(\sin\theta)^2d\phi^2)</math>
where
:<math>U(t)=\frac{2mt+l^2-t^2}{t^2+l^2}</math>
and ''m'' and ''l'' are positive constants.  
 
Taub's metric has coordinate singularities at ''U''=0, ''t''=''m''+(m<sup>2</sup>+''l''<sup>2</sup>)<sup>1/2</sup>, and Newman, Tamburino and Unti showed how to extend the metric across these surfaces.
 
==References==
{{reflist}}
*{{Citation | last2=Tamburino | first2=L. | last1=Newman | first1=E. | last3=Unti | first3=T. | title=Empty-space generalization of the Schwarzschild metric | doi=10.1063/1.1704018 | id={{MR|0152345}} | year=1963 | journal=[[Journal of Mathematical Physics]] | issn=0022-2488 | volume=4 | pages=915–923|bibcode = 1963JMP.....4..915N }}
*{{Citation | last1=Taub | first1=A. H. | title=Empty space-times admitting a three parameter group of motions | id={{MR|0041565}}{{JSTOR|1969567}} | year=1951 | journal=[[Annals of Mathematics|Annals of Mathematics. Second Series]] | issn=0003-486X | volume=53 | pages=472–490}}
{{Relativity}}
{{DEFAULTSORT:Taub-NUT space}}
[[Category:Exact solutions in general relativity]]

Latest revision as of 22:58, 23 May 2014

I have a glass jar with a lid of the http://news.goldgrey.org/category/precious-metals/ sort one typically uses in the kitchen. I have it in a different room and I call it my penny jar. At various times in my life I have used it to save for different things. I just started a penny jar again. I want to save pennies and use them for two different goals.

Many who smoke, drink and overeat usually spend all the extra change they have when craving their addiction. Putting all that loose change in a coin jar instead will add up quicker than one thinks!

And they're certainly not the ones you want to get stock trading education from. Professional traders recommend risking a maximum of 1-2% of your account. For a $10,000 account, that would be $100-200. That means you would need to set your stop loss (never trade without a stop loss) in a position that limits your loss to a maximum of $100-200. Good money management keeps your risk consistently low.



These tips are very basic, though a lot of traders (even professional ones) tend to overlook them. When it comes to the stock picking itself, a good idea may be to invest in a stock picking system based on technical analysis.

Here are some important advice for you to earn cash with day trading. If you can apply these properly you can make some significant money trading stocks online.

Investing in Gold is the ultimate alternative to investing in stocks. Gold is a commodity that has been sought after for centuries and with it carries an automatic since of wealth. Throughout history, the possession of gold as an asset has the same affect and appeal no matter what country or part of the world you are from.

Back in 1984, Russell Investments launched the very first float-adjusted indexes: the Russell 1000, which includes the largest 1,000 companies in the U.S. and the Russell 2000, which encompasses the next 2,000 smaller ones. It's impossible to be a true small-cap investor without religiously following what the Russell 2000 is up to.

The easiest and probably the most robust way to learn trading is to learn trading systems. All good traders use systems which is really nothing but a set of rules for picking stocks, entering trades and exiting them again. Systems allow you to take your emotions out of the trading and it allows you to be more scientific with your trading. Its really important that you learn and master as many trading systems as possible because for every market condition there is a system that can help you succeed even when the sky is falling.

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