FastICA - Revision history

en>Yiuin: I know this is a direct copy from the original paper. But the matrix math for X g(w^T X) doesn't make sense. It should be X g(w^T X)^T which produces a vector with length equal to w.

2014-09-03T19:14:13Z

I know this is a direct copy from the original paper. But the matrix math for X g(w^T X) doesn't make sense. It should be X g(w^T X)^T which produces a vector with length equal to w.

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67.148.186.130: /* Multiple component extraction */

2014-02-18T20:09:27Z

Multiple component extraction

← Older revision		Revision as of 22:09, 18 February 2014
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	[[File:Conic constant.svg\|thumb\|350px\|alt=Ten different conic sections which open to the right from a common intersection point, at which point they have a common radius of curvature\|An illustration of various conic constants]]
	In [[geometry]], the '''conic constant''' (or '''Schwarzschild constant''',<ref>{{cite doi\|10.1117/12.635041}}</ref> after [[Karl Schwarzschild]]) is a quantity describing [[conic section]]s, and is represented by the letter ''K''. For negative ''K'' it is given by

	~~:<math>K = -e^2, \, </math>~~

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	~~The equation~~ for a ~~conic section with apex at the~~ [~~[Origin~~ (~~mathematics~~)~~\|origin]]~~ and ~~tangent~~ to the ~~y axis~~ is

	:<~~math~~>~~y^2-2Rx+(K+1)x^2=0~~<~~/math~~>

	~~where ''K''~~ is ~~the conic constant~~ and '~~'R''~~ is the ~~[[Radius~~ of ~~curvature (optics)\|radius~~ of ~~curvature]]~~ at~~ ''x'' = 0~~.

	This ~~formulation~~ is ~~used in [[geometric optics]]~~ to ~~specify [[oblate spheroid\|oblate elliptical]] (''K'' > 0)~~, ~~[[sphere\|spherical]] (''K'' = 0)~~, ~~[[prolate spheroid\|prolate elliptical]] (0 ~~>~~ ''K'' ~~>~~ −1)~~, ~~[[paraboloid\|parabolic]] (''K'' = −1)~~, ~~and [[hyperboloid\|hyperbolic]] (~~'~~'K'' ~~<~~ −1) lens~~ and ~~mirror surfaces. When~~ the ~~[[paraxial approximation]] is valid~~, the ~~optical surface~~ can ~~be treated as a spherical surface with~~ the ~~same radius~~.

	~~Some non-optical design references use~~ the ~~letter ''p'' as the conic constant~~. ~~In these cases~~,~~ ~~'~~'p'' = ''K'' + 1~~.

	~~==References==~~
	*{{cite book\|last=Smith \|first=Warren J. ~~\|title=Modern Optical Engineering, 4th ed \|publisher=[[McGraw~~-~~Hill Professional]] \|year=2008 \|isbn=978~~-0-07-~~147687~~-~~4 \|pages=513–515}}~~
	~~{{reflist\|~~1}}

	~~[[Category:Mathematical constants]]~~
	~~[[Category:Conic sections]]~~
	~~[[Category:Geometrical optics]]~~

	~~{{geometry~~-~~stub}}~~

en>Gareth Jones: references inline

2014-02-04T00:26:44Z

references inline

← Older revision		Revision as of 02:26, 4 February 2014
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	~~I woke up yesterday and realised - Today I~~ have ~~been solitary for~~ a ~~little while and after much~~ [~~http:~~//~~www.senatorwonderling.com luke bryan schedule 2014~~] ~~intimidation from pals I now find myself signed up for on line dating. They guaranteed me that there are lots of pleasant~~, ~~standard~~ and ~~enjoyable visitors to meet, therefore~~ the ~~pitch~~ is ~~gone~~ by ~~here!~~<br>~~My fam and pals are wonderful and spending time with them at tavern gigs or dishes~~ is ~~consistently a must. I haven't ever been into clubs as I see you can luke bryan 2014 -~~ [~~http://lukebryantickets~~.~~flicense.com lukebryantickets.flicense.com] - not own~~ a ~~significant dialog together~~ with the ~~noise. I likewise have 2 quite cute~~ and ~~undoubtedly cheeky canines that are invariably enthusiastic~~ to ~~meet up new folks.~~<br>~~I try to maintain as physically healthy as potential staying at~~ the ~~fitness center several times a week. I appreciate my athletics~~ and ~~strive to perform or view since many a possible. Being wintertime I shall frequently~~ at ~~Hawthorn matches~~. ~~Notice:~~ [~~http://Www.supposing.com/ Supposing~~] ~~that you would considered buying an~~ [~~http://statigr~~.~~am/tag/activity activity~~] ~~I do not mind~~, I'~~ve observed~~ the ~~carnage of wrestling suits at stocktake revenue~~.~~<br><br>My blog~~; [~~http~~:~~//lukebryantickets.neodga.com upcoming luke bryan concerts~~]		[[File:Conic constant.svg\|thumb\|350px\|alt=Ten different conic sections which open to the right from a common intersection point, at which point they have a common radius of curvature\|An illustration of various conic constants]]
			In [[geometry]], the '''conic constant''' (or '''Schwarzschild constant''',<ref>{{cite doi\|10.1117/12.635041}}</ref> after [[Karl Schwarzschild]]) is a quantity describing [[conic section]]s, and is represented by the letter ''K''. For negative ''K'' it is given by

			:<math>K = -e^2, \, </math>

			where ''e'' is the [[eccentricity (mathematics)\|eccentricity]] of the conic section.

			The equation for a conic section with apex at the [[Origin (mathematics)\|origin]] and tangent to the y axis is

			:<math>y^2-2Rx+(K+1)x^2=0</math>

			where ''K'' is the conic constant and ''R'' is the [[Radius of curvature (optics)\|radius of curvature]] at ''x'' = 0.

			This formulation is used in [[geometric optics]] to specify [[oblate spheroid\|oblate elliptical]] (''K'' > 0), [[sphere\|spherical]] (''K'' = 0), [[prolate spheroid\|prolate elliptical]] (0 > ''K'' > −1), [[paraboloid\|parabolic]] (''K'' = −1), and [[hyperboloid\|hyperbolic]] (''K'' < −1) lens and mirror surfaces. When the [[paraxial approximation]] is valid, the optical surface can be treated as a spherical surface with the same radius.

			Some non-optical design references use the letter ''p'' as the conic constant. In these cases, ''p'' = ''K'' + 1.

			==References==
			*{{cite book\|last=Smith \|first=Warren J. \|title=Modern Optical Engineering, 4th ed \|publisher=[[McGraw-Hill Professional]] \|year=2008 \|isbn=978-0-07-147687-4 \|pages=513–515}}
			{{reflist\|1}}

			[[Category:Mathematical constants]]
			[[Category:Conic sections]]
			[[Category:Geometrical optics]]

			{{geometry-stub}}

217.197.85.96: /* See also */

2012-05-31T12:30:40Z