Ordered dithering - Revision history

en>JoachimHolmer: Added 4x4 dithering pattern visualization

2014-12-27T19:32:41Z

Added 4x4 dithering pattern visualization

← Older revision		Revision as of 21:32, 27 December 2014
Line 1:		Line 1:
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193.55.51.2: Undid revision 596021073 by 193.55.51.2 (talk)

2014-02-18T12:56:31Z

Undid revision 596021073 by 193.55.51.2 (talk)

← Older revision		Revision as of 14:56, 18 February 2014
Line 1:		Line 1:
	The four-factor formula, also known as Fermi's '''four factor formula''' is used in [[nuclear engineering]] to determine the multiplication of a [[nuclear chain reaction]] in an infinite medium. The formula is<ref name=Duderstadt>{{cite book \|last=Duderstadt \|first=James \|coauthors=Hamilton, Louis \|title=Nuclear Reactor Analysis \|year=1976 \|publisher=John Wiley & Sons, Inc \|isbn=0-471-22363-8 }}</ref>

	~~<center><math>k_{\infty} = \eta f p \varepsilon</math></center>~~

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	~~! Symbol~~
	~~! Name~~
	~~! Meaning~~
	~~! Formula~~
	\|-
	~~\|<math>\eta</math>~~
	~~\| Reproduction Factor (Eta)~~
	~~\| The number of fission [[neutron]]s produced per absorption in~~ the ~~fuel~~.
	~~\| <math> \eta = \frac{\nu \sigma_f^F}{\sigma_a^F} <~~/~~math>~~
	\|-
	~~\| <math>f<~~/~~math>~~
	~~\| The thermal utilization factor~~
	~~\| Probability that a neutron that gets absorbed does so in the fuel material~~.
	~~\| <math>f = \frac{\Sigma_a^F}{\Sigma_a}</math>~~
	\|-
	~~\| <math>p</math>~~
	~~\| The resonance escape probability~~
	~~\| Fraction of fission neutrons that manage to slow down from fission to thermal energies without being absorbed~~.
	~~\| <math>p \approx \mathrm{exp} \left( -\frac{\sum\limits_{i=1}^{N} N_i I_{r,A,i}}{\left( \overline{\xi} \Sigma_p \right)_{mod}} \right)</math>~~
	\|-
	~~\| <math>\epsilon</math>~~
	~~\| The fast fission factor~~
	~~\| <center><math>\frac{\mbox{total number of fission neutrons}}{\mbox{number of fission neutrons from just thermal fissions}}<~~/~~math><~~/~~center>~~
	~~\| <math>\varepsilon \approx 1 + \frac{1-p}{p}\frac{u_f \nu_f P_{FAF}}{f \nu_t P_{TAF} P_{TNL}}<~~/~~math>~~
	\|-
	\|}

	~~The [[six factor formula]] defines each of these terms in much more detail~~.

	==~~Multiplication~~==
	~~The multiplication factor, k, is defined as (see [[Nuclear chain reaction~~]~~]): <center><math>k = \frac{\mbox{number of neutrons in one generation}}{\mbox{number of neutrons in preceding generation}}</math></center>~~

	~~If k~~ is ~~greater than 1,~~ the ~~chain reaction is ''supercritical,''~~ and ~~the neutron population~~ will ~~grow exponentially~~. ~~<br~~ />
	~~If k is less than 1, the chain reaction is ''subcritical,'' and the neutron population will exponentially decay~~. ~~<br~~ />
	~~If k = 1, the chain reaction is ''critical'' and the neutron population will remain constant~~.

	~~In an infinite medium, neutrons cannot leak out of the system and the multiplication factor becomes the infinite multiplication factor,~~ <~~math~~>~~k = k_{\infty}~~<~~/math~~>~~, which is approximated~~ by ~~the four-factor formula.~~

	~~==See also==~~
	* [[Six factor formula]]
	* [[Critical mass]]
	* [[Nuclear chain reaction]]
	* [~~[Nuclear reactor]]~~

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

	~~[[Category~~:~~Nuclear technology]]~~
	~~[[Category:Radioactivity]~~]

en>Mzervos: Added link with Matlab implementation

2013-09-15T11:19:18Z

Added link with Matlab implementation

← Older revision		Revision as of 13:19, 15 September 2013
Line 1:		Line 1:
			The four-factor formula, also known as Fermi's '''four factor formula''' is used in [[nuclear engineering]] to determine the multiplication of a [[nuclear chain reaction]] in an infinite medium. The formula is<ref name=Duderstadt>{{cite book \|last=Duderstadt \|first=James \|coauthors=Hamilton, Louis \|title=Nuclear Reactor Analysis \|year=1976 \|publisher=John Wiley & Sons, Inc \|isbn=0-471-22363-8 }}</ref>

			<center><math>k_{\infty} = \eta f p \varepsilon</math></center>

	If you present photography effectively, it helps you look much more properly at the globe around you. Also, you may want to opt for a more professioanl theme if you are planning on showing your site off to a high volume of ~~potential customers each day. * A community forum for debate of the product together with some other customers~~ in the ~~comments spot~~. ~~Keep reading for some great Word~~ - ~~Press ideas you can start using today. You can easily customize the titles of the posts in Word - Press blog in~~ a ~~way~~ that ~~only title comes~~ in the ~~new post link and not the date or category of posts~~. <br><br>~~Choosing what kind of links you'll be using is a ctitical aspect of any linkwheel strategy, especially since there are several different types~~ of ~~links~~ that are assessed by search engines. But as expected the level of support you get with them can be hit or miss based on the developer's free time and desire. Well Managed Administration The Word - Press can easily absorb the high numbers of traffic by controlling the server load to ~~make sure that the site works properly. E-commerce websites are meant~~ to ~~be buzzed with fresh contents, graphical enhancements, and functionalities~~. ~~By using Word~~ - ~~Press~~, ~~you can develop very rich~~, ~~user~~-~~friendly and full-functional website.~~ <br><br>~~Just ensure that you hire experienced Word - Press CMS developer who is experienced enough to perform the task~~ of ~~Word~~ - ~~Press customization to get optimum benefits of Word~~ - ~~Press CMS. It was also the very first year that the category~~ of ~~Martial Arts was included~~ in ~~the Parents - Connect nationwide online poll~~, ~~allowing parents to vote for their favorite San Antonio Martial Arts Academy. You can now search through the thousands~~ of ~~available plugins to add all kinds~~ of ~~functionality to your Word - Press site. To turn~~ the ~~Word - Press Plugin on~~, ~~click Activate on~~ the ~~far right side of the list~~. ~~Socrates: (link to ) Originally developed for affiliate marketers~~, I'~~ve used this theme again and again to develop full-fledged web sites that include static pages, squeeze pages~~, and ~~a blog~~. <br>~~<br>~~If ~~all else fails~~, ~~please leave a comment on this post with~~ the ~~issue(s) you~~'~~re having~~ and ~~help~~ will ~~be on the way~~. As an ~~example, if you are promoting a product that cures hair-loss~~, ~~you most likely would not wish to target your adverts to teens. Should you have any kind~~ of ~~inquiries with regards to exactly where as well as how to utilize [http://www.dune2.h2m.ru/profile/jucaple backup plugin], you are able to call us with~~ the ~~internet site. Specialty about our themes are that they are easy to load, compatible with latest wordpress version~~ and ~~are also SEO friendly. Can you imagine where you would be now if someone in your family bought an original painting from van Gogh during his lifetime. This includes enriching~~ the ~~content with proper key words~~, ~~tactfully defining the tags and URL.~~ <br><br>As a open source platform Wordpress offers distinctive ready to use themes for free along with custom theme support and easy customization. Visit our website to learn more about how you can benefit. This allows updates to be sent anyone who wants them via an RSS reader or directly to their email. It is ~~a fact that Smartphone using online customers do not waste much of their time in struggling with drop down menus. As with a terminology, there are many methods to understand how to use~~ the ~~terminology~~.		{\| class="wikitable" border="1" cellpadding="8" cellspacing="0"
			! Symbol
			! Name
			! Meaning
			! Formula
			\|-
			\|<math>\eta</math>
			\| Reproduction Factor (Eta)
			\| The number of fission [[neutron]]s produced per absorption in the fuel.
			\| <math> \eta = \frac{\nu \sigma_f^F}{\sigma_a^F} </math>
			\|-
			\| <math>f</math>
			\| The thermal utilization factor
			\| Probability that a neutron that gets absorbed does so in the fuel material.
			\| <math>f = \frac{\Sigma_a^F}{\Sigma_a}</math>
			\|-
			\| <math>p</math>
			\| The resonance escape probability
			\| Fraction of fission neutrons that manage to slow down from fission to thermal energies without being absorbed.
			\| <math>p \approx \mathrm{exp} \left( -\frac{\sum\limits_{i=1}^{N} N_i I_{r,A,i}}{\left( \overline{\xi} \Sigma_p \right)_{mod}} \right)</math>
			\|-
			\| <math>\epsilon</math>
			\| The fast fission factor
			\| <center><math>\frac{\mbox{total number of fission neutrons}}{\mbox{number of fission neutrons from just thermal fissions}}</math></center>
			\| <math>\varepsilon \approx 1 + \frac{1-p}{p}\frac{u_f \nu_f P_{FAF}}{f \nu_t P_{TAF} P_{TNL}}</math>
			\|-
			\|}

			The [[six factor formula]] defines each of these terms in much more detail.

			==Multiplication==
			The multiplication factor, k, is defined as (see [[Nuclear chain reaction]]): <center><math>k = \frac{\mbox{number of neutrons in one generation}}{\mbox{number of neutrons in preceding generation}}</math></center>

			If k is greater than 1, the chain reaction is ''supercritical,'' and the neutron population will grow exponentially. <br />
			If k is less than 1, the chain reaction is ''subcritical,'' and the neutron population will exponentially decay. <br />
			If k = 1, the chain reaction is ''critical'' and the neutron population will remain constant.

			In an infinite medium, neutrons cannot leak out of the system and the multiplication factor becomes the infinite multiplication factor, <math>k = k_{\infty}</math>, which is approximated by the four-factor formula.

			==See also==
			* [[Six factor formula]]
			* [[Critical mass]]
			* [[Nuclear chain reaction]]
			* [[Nuclear reactor]]

			==References==
			{{reflist}}

			[[Category:Nuclear technology]]
			[[Category:Radioactivity]]

en>Manhattan iceberg: Add web url to original Bayer paper

2012-07-19T16:01:29Z

Add web url to original Bayer paper

New page

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