Gas diffusion electrode - Revision history

188.27.144.144: /* See also */ [[]]

2014-06-05T10:05:36Z

See also: [[]]

← Older revision		Revision as of 12:05, 5 June 2014
Line 1:		Line 1:
	~~In [[mathematics]], an '''idempotent measure''' on a [[metric group]]~~ is a [[probability measure]] that equals its [[convolution]] with itself; in other words, an idempotent measure is an [[idempotent element]] in the [[topological semigroup]] of probability measures on the given metric group.		My name is Saundra and I am studying Continuing Education and Summer Sessions and Modern Languages and Classics at Porto Alegre / Brazil.<br><br>my web page [http://snipitfor.me/backup_plugin_7970922 wordpress backup plugin]

	~~Explicitly, given a metric group ''X''~~ and ~~two probability measures ''μ''~~ and ~~''ν'' on ''X'', the convolution ''μ'' &lowast; ''ν'' of ''μ''~~ and ~~''ν'' is the measure given by~~

	:<~~math~~>~~(\mu * \nu) (A) = \int_{X} \mu (A x^{-1}) \, \mathrm{d} \nu (x) = \int_{X} \nu (x^{-1} A) \, \mathrm{d} \mu (x)~~<~~/math~~>

	~~for any Borel subset ''A'' of ''X''. (The equality of the two integrals follows from~~ [~~[Fubini's theorem]]~~.) With respect to the topology of [[weak convergence of measures]], the operation of convolution makes the space of probability measures on ''X'' into a topological semigroup. Thus, ''μ'' is said to be an idempotent measure if ''μ'' &lowast; ''μ'' = ''μ''.

	It can be shown that the only idempotent probability measures on a [[complete space\|complete]], [[separable space\|separable]] metric group are the normalized [[Haar measure]]s of [[compact space\|compact]] [[subgroup]]s.

	~~==References==~~

	* {{cite book
	~~\| last = Parthasarathy~~
	~~\| first = K. R.~~
	~~\| title = Probability measures on metric spaces~~
	~~\|publisher = AMS Chelsea Publishing, Providence, RI~~
	~~\| year = 2005~~
	~~\| pages = pp.xii+276~~
	~~\| isbn = 0-8218-3889-X~~
	~~}} {{MathSciNet\|id=2169627}} (See chapter 3, section 3.)~~


	~~[[Category:Group theory]]~~
	~~[[Category:Measures (measure theory)]]~~
	~~[[Category:Metric geometry]~~]

75.109.208.254 at 18:55, 7 November 2013

2013-11-07T18:55:47Z

@@ Line 1: / Line 1: @@
-Getting paid money to work online isn't the easiest thing to do in the world, but it is possible.
+In [[mathematics]], an '''idempotent measure''' on a [[metric group]] is a [[probability measure]] that equals its [[convolution]] with itself;  in other words, an idempotent measure is an [[idempotent element]] in the [[topological semigroup]] of probability measures on the given metric group.
- If this is something you wish to work with, then the tips presented above should have helped you. Take some time, do things the right way and then you can succeed. Start your online [http://www.comoganhardinheiro101.com ganhar dinheiro] earning today by following the great advice discussed in this article. Earning money is not as hard as it may seem, you just need to know how to get started.  For more  [http://www.comoganhardinheiro101.com/slide-central/ como conseguir dinheiro] info about [http://comoganhardinheironainternet.comoganhardinheiro101.com ganhando dinheiro na internet] look at comoganhardinheironainternet.comoganhardinheiro101.com By choosing to put your right foot forward, you are heading off to a great start earning money to make ends meet. <br><br><br>It's easy to make money online. There is truth to the fact that you can start making money on the Internet as soon as you're done with this article. After all, so many others are making money online, why not you? Keep your mind open and you can make a lot of money. As you [http://www.comoganhardinheiro101.com/?p=73 ganhando dinheiro na internet] can see, there are many ways to approach the world of [http://Ganhardinheiropelainternet.comoganhardinheiro101.com/ online income]. With various streams of income available, you are sure to find one, or two, that can help you with your income needs. Take this information to heart, put it to use and build your own [http://ganhardinheiropelainternet.comoganhardinheiro101.com/ online success] story. <br><br><br>fee to watch your webinar at their convenience. Once it is in place, [http://www.comoganhardinheiro101.com/tag/ganhar-dinheiro/ como conseguir dinheiro] promotion and possibly answering questions will be your only tasks.<br><br>Make money online by selling your talents.
+Explicitly, given a metric group ''X'' and two probability measures ''&mu;'' and ''&nu;'' on ''X'', the convolution ''&mu;''&nbsp;&lowast;&nbsp;''&nu;'' of ''&mu;'' and ''&nu;'' is the measure given by
- Good music is always in demand and with today's technological advances, anyone with musical talent can make music and offer it for sale [http://www.comoganhardinheiro101.com/slide-central/ como ficar rico] to a broad audience. By setting up your own website and using social media for promotion, you can share your music with others and sell downloads with a free PayPal account.
+:<math>(\mu * \nu) (A) = \int_{X} \mu (A x^{-1}) \, \mathrm{d} \nu (x) = \int_{X} \nu (x^{-1} A) \, \mathrm{d} \mu (x)</math>

75.109.215.50 at 17:43, 13 August 2012

2012-08-13T17:43:10Z

New page

Getting paid money to work online isn't the easiest thing to do in the world, but it is possible.

If this is something you wish to work with, then the tips presented above should have helped you. Take some time, do things the right way and then you can succeed. Start your online [http://www.comoganhardinheiro101.com ganhar dinheiro] earning today by following the great advice discussed in this article. Earning money is not as hard as it may seem, you just need to know how to get started. For more [http://www.comoganhardinheiro101.com/slide-central/ como conseguir dinheiro] info about [http://comoganhardinheironainternet.comoganhardinheiro101.com ganhando dinheiro na internet] look at comoganhardinheironainternet.comoganhardinheiro101.com By choosing to put your right foot forward, you are heading off to a great start earning money to make ends meet. It's easy to make money online. There is truth to the fact that you can start making money on the Internet as soon as you're done with this article. After all, so many others are making money online, why not you? Keep your mind open and you can make a lot of money. As you [http://www.comoganhardinheiro101.com/?p=73 ganhando dinheiro na internet] can see, there are many ways to approach the world of [http://Ganhardinheiropelainternet.comoganhardinheiro101.com/ online income]. With various streams of income available, you are sure to find one, or two, that can help you with your income needs. Take this information to heart, put it to use and build your own [http://ganhardinheiropelainternet.comoganhardinheiro101.com/ online success] story. fee to watch your webinar at their convenience. Once it is in place, [http://www.comoganhardinheiro101.com/tag/ganhar-dinheiro/ como conseguir dinheiro] promotion and possibly answering questions will be your only tasks. Make money online by selling your talents.

Good music is always in demand and with today's technological advances, anyone with musical talent can make music and offer it for sale [http://www.comoganhardinheiro101.com/slide-central/ como ficar rico] to a broad audience. By setting up your own website and using social media for promotion, you can share your music with others and sell downloads with a free PayPal account.