Nonlocal Lagrangian - Revision history

en>PioneerWoman2014: Link

2014-03-06T20:22:04Z

Link

← Older revision		Revision as of 22:22, 6 March 2014
Line 1:		Line 1:
	In [~~[geometry]], the '''Fermat cubic''', named after [[Pierre de Fermat]], is a surface defined by~~		Ed is what people [http://srncomm.com/blog/2014/08/25/relieve-that-stress-find-a-new-hobby/ love psychic readings] call me and my wife doesn't like it at all. Distributing manufacturing is exactly telephone psychic, [http://kjhkkb.net/xe/notice/374835 check over here], where my main earnings comes from and it's some thing I really appreciate. My wife and I reside in Mississippi but now I'm contemplating other options. What me and my family members love is performing ballet but I've been taking on new issues recently.<br><br>My homepage; authentic psychic readings ([http://cartoonkorea.com/ce002/1093612 http://cartoonkorea.com/])
	:~~<math> x^3 + y^3 + z^3 = 1~~. ~~\ <~~/~~math>~~

	~~Methods of [[algebraic geometry]] provide the following parametrization of Fermat's cubic:~~
	~~:<math> x(s,t) = {3 t~~ - ~~{1\over 3} (s^2 + s t + t^2)^2 \over t (s^2 + s t + t^2)~~ - ~~3} </math>~~

	~~:<math> y(s,t) = {3 s + 3 t + {1\over 3} (s^2 + s t + t^2)^2 \over t (s^2 + s t + t^2)~~ - ~~3} </math>~~

	~~:<math> z(s,t) = {~~-3 - ~~(s^2 + s t + t^2) (s + t) \over t (s^2 + s t +~~ t~~^2) - 3}~~. ~~</math>~~

	~~In projective space the Fermat cubic~~ is ~~given by~~
	:~~<math>w^3+x^3+y^3+z^3=0~~.</~~math>~~
	~~The 27 lines lying on the Fermat cubic are easy to describe explicitly: they are the 9 lines of the form (''w'' : ''aw'' : ''y'' : ''by'')~~ where ~~''a''~~ and '~~'b'' are fixed numbers with cube −1,~~ and ~~their 18 conjugates under permutations of coordinates.~~

	~~[[Image:FermatCubicSurface.PNG]]~~
	~~::::'~~'~~Real points of Fermat cubic surface~~.''

	~~==References==~~
	*{{Citation \| last1=Ness \| first1=Linda \| title=Curvature on ~~the Fermat cubic \| url=~~http://~~projecteuclid~~.~~org~~/~~getRecord?id=euclid.dmj~~/~~1077313099 \| mr=518106 \| year=1978 \| journal=[[Duke Mathematical Journal]] \| issn=0012-7094 \| volume=45 \| issue=4 \| pages=797–807}}~~
	*{{cite web\|url=http://~~www~~.~~math.harvard.edu~~/~~~elkies/4cubes.html\|title=Complete cubic parametrization of the Fermat cubic surface\|first=Noam\|last=Elkies}}~~

	~~[[Category:Algebraic surfaces]~~]

en>Ruslik0: mdash

2013-04-07T19:36:41Z

mdash

← Older revision		Revision as of 21:36, 7 April 2013
Line 1:		Line 1:
	~~Hi there~~, ~~I am Andrew Berryhill. For a while I~~'~~ve been in Alaska but I will have to transfer in a year or two. What me and my family adore is doing ballet but I~~'~~ve been using on new things lately. Since I was eighteen I~~'~~ve been operating as~~ a ~~bookkeeper but quickly my wife and I will start our personal company~~.<br><br>~~Here~~ is ~~my blog post~~ - [http://~~black7~~.~~mireene~~.~~com~~/~~aqw~~/~~5741 free psychic~~]		In [[geometry]], the '''Fermat cubic''', named after [[Pierre de Fermat]], is a surface defined by
			:<math> x^3 + y^3 + z^3 = 1. \ </math>

			Methods of [[algebraic geometry]] provide the following parametrization of Fermat's cubic:
			:<math> x(s,t) = {3 t - {1\over 3} (s^2 + s t + t^2)^2 \over t (s^2 + s t + t^2) - 3} </math>

			:<math> y(s,t) = {3 s + 3 t + {1\over 3} (s^2 + s t + t^2)^2 \over t (s^2 + s t + t^2) - 3} </math>

			:<math> z(s,t) = {-3 - (s^2 + s t + t^2) (s + t) \over t (s^2 + s t + t^2) - 3}. </math>

			In projective space the Fermat cubic is given by
			:<math>w^3+x^3+y^3+z^3=0.</math>
			The 27 lines lying on the Fermat cubic are easy to describe explicitly: they are the 9 lines of the form (''w'' : ''aw'' : ''y'' : ''by'') where ''a'' and ''b'' are fixed numbers with cube −1, and their 18 conjugates under permutations of coordinates.

			[[Image:FermatCubicSurface.PNG]]
			::::''Real points of Fermat cubic surface.''

			==References==
			*{{Citation \| last1=Ness \| first1=Linda \| title=Curvature on the Fermat cubic \| url=http://projecteuclid.org/getRecord?id=euclid.dmj/1077313099 \| mr=518106 \| year=1978 \| journal=[[Duke Mathematical Journal]] \| issn=0012-7094 \| volume=45 \| issue=4 \| pages=797–807}}
			*{{cite web\|url=http://www.math.harvard.edu/~elkies/4cubes.html\|title=Complete cubic parametrization of the Fermat cubic surface\|first=Noam\|last=Elkies}}

			[[Category:Algebraic surfaces]]

en>ChrisGualtieri: TypoScan Project, typos fixed: eg. → e.g. using AWB

2012-06-06T03:24:28Z

TypoScan Project, typos fixed: eg. → e.g. using AWB

New page

Hi there, I am Andrew Berryhill. For a while I've been in Alaska but I will have to transfer in a year or two. What me and my family adore is doing ballet but I've been using on new things lately. Since I was eighteen I've been operating as a bookkeeper but quickly my wife and I will start our personal company.<br><br>Here is my blog post - [http://black7.mireene.com/aqw/5741 free psychic]