Embedded atom model - Revision history

en>Knordlun at 17:05, 26 December 2014

2014-12-26T17:05:11Z

151.42.223.172 at 21:23, 8 February 2014

2014-02-08T21:23:38Z

← Older revision		Revision as of 23:23, 8 February 2014
Line 1:		Line 1:
	~~{{unreferenced \|date= October 2010}}~~		Hi there, I am Alyson Boon even though it is not the name on my beginning certification. Alaska is the only location I've been residing in but now I'm considering other options. Office supervising is what she does for a residing. She is truly fond of caving but she doesn't have the time recently.<br><br>My weblog ... [http://netwk.hannam.ac.kr/xe/data_2/85669 email psychic readings]

	~~In [[mathematics]]~~, the '''~~scale convolution''' of two [[Function (mathematics)\|functions]] <math>s(~~t~~)</math> and <math>r(t)</math>, also known as their '''logarithmic convolution''' is defined as~~ the ~~function~~<br>~~dodo~~

	:<~~math~~> ~~s _l r(t) = r _l s(t) = \int_0^\infty s\left(\frac{t}{a}\right)r(a) \, \frac{da}{a}</math>~~

	~~when this quantity exists~~.

	~~==Results==~~
	~~The logarithmic convolution can be related to the ordinary~~ [~~[convolution]] by changing the [[Variable (mathematics)\|variable]] from <math>t<~~/~~math> to <math>v = \log t<~~/~~math>:~~

	~~: <math> s *_l r(t) = \int_0^\infty s\left(\frac{t}{a}\right)r(a) \, \frac{da}{a} =~~
	~~\int_{-\infty}^\infty s\left(\frac{t}{e^u}\right) r(e^u) \, du </math>~~

	~~:<math> = \int_{-\infty}^\infty s\left(e^{\log t - u}\right)r(e^u) \, du~~.</~~math>~~

	~~Define <math>f(v) = s(e^v)<~~/~~math> and <math>g(v) = r(e^v)<~~/~~math> and let <math>v = \log t</math>, then~~

	~~:<math> s _l r(v) = f g(v) = g * f(v) = r *_l s(v).\, </math>~~

	~~{{PlanetMath attribution\|id=5995\|title=logarithmic convolution}}~~

	~~[[Category:Logarithms]~~]

en>Addbot: Bot: Migrating 3 interwiki links, now provided by Wikidata on d:q898817

2013-03-02T18:09:45Z

Bot: Migrating 3 interwiki links, now provided by Wikidata on d:q898817

← Older revision		Revision as of 20:09, 2 March 2013
Line 1:		Line 1:
	~~Alyson Meagher is~~ the ~~title her mothers and fathers gave her but she doesn~~'~~t like when individuals use her complete title. For years he~~'s ~~been living in Alaska~~ and ~~he doesn~~'t ~~plan [http:~~/~~/findyourflirt~~.~~net/index.php?m~~=~~member_profile&p~~=~~profile&id~~=~~117823 telephone psychic~~] ~~on altering it.~~ [~~http:~~//~~ustanford.com~~/~~index.php?do~~=~~/profile~~-~~38218~~/~~info/ clairvoyance] To climb is some thing she would by no means give up. For many years she'~~s ~~been operating as a travel agent.~~<br><br>~~Feel free to visit my webpage ... [http:~~//~~clothingcarearchworth~~.~~com~~/~~index.php?document_srl~~=~~441551&mid~~=~~customer_review clairvoyant psychic~~]		{{unreferenced \|date= October 2010}}

			In [[mathematics]], the '''scale convolution''' of two [[Function (mathematics)\|functions]] <math>s(t)</math> and <math>r(t)</math>, also known as their '''logarithmic convolution''' is defined as the function<br>dodo

			:<math> s _l r(t) = r _l s(t) = \int_0^\infty s\left(\frac{t}{a}\right)r(a) \, \frac{da}{a}</math>

			when this quantity exists.

			==Results==
			The logarithmic convolution can be related to the ordinary [[convolution]] by changing the [[Variable (mathematics)\|variable]] from <math>t</math> to <math>v = \log t</math>:

			: <math> s *_l r(t) = \int_0^\infty s\left(\frac{t}{a}\right)r(a) \, \frac{da}{a} =
			\int_{-\infty}^\infty s\left(\frac{t}{e^u}\right) r(e^u) \, du </math>

			:<math> = \int_{-\infty}^\infty s\left(e^{\log t - u}\right)r(e^u) \, du.</math>

			Define <math>f(v) = s(e^v)</math> and <math>g(v) = r(e^v)</math> and let <math>v = \log t</math>, then

			:<math> s _l r(v) = f g(v) = g * f(v) = r *_l s(v).\, </math>

			{{PlanetMath attribution\|id=5995\|title=logarithmic convolution}}

			[[Category:Logarithms]]

en>Rjwilmsi: /* References */Fix cite template param names using AWB (8087)

2012-07-15T09:34:34Z

References: Fix cite template param names using AWB (8087)

New page

Alyson Meagher is the title her mothers and fathers gave her but she doesn't like when individuals use her complete title. For years he's been living in Alaska and he doesn't plan [http://findyourflirt.net/index.php?m=member_profile&p=profile&id=117823 telephone psychic] on altering it. [http://ustanford.com/index.php?do=/profile-38218/info/ clairvoyance] To climb is some thing she would by no means give up. For many years she's been operating as a travel agent.<br><br>Feel free to visit my webpage ... [http://clothingcarearchworth.com/index.php?document_srl=441551&mid=customer_review clairvoyant psychic]