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Topic: Eigenplane

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	SULI Log 2003
		BPM data along a given axis (x or y) may be represented as an n x m matrix where n is the number of consecutive-turn measurements and m is the number of BPMs.
		By exciting the beamâs two eigenplanes and extracting sine-like and cosine-like orbits for each excitation, one collects four linearly-independent orbits which completely determine the linear optics of the system.
		For example, the data from the excitation of the beamâs first eigenplane results in two data matrices, one representing the x position of the beam at each x-sensitive BPM and the other representing the corresponding y position at each y-sensitive BPM.
	fliptomato.blogspot.com (1736 words)

	Eigenplane Encyclopedia Article, History, Biography @ Local Color Art (Site not responding. Last check: 2007-10-22)
		Eigenplane Encyclopedia Article, History, Biography @ Local Color Art
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	www.karr.net /search/encyclopedia/Eigenplane (316 words)

	[No title] (Site not responding. Last check: 2007-10-22)
		Coupling occurs when the beam's eigenplanes (the $x$- and $y$-axes relative to the betatron oscillation) do not match the $x$- and $y$-axes of the machine.
		It is a reasonable assumption that the eigenplanes are close enough to the machine axes that the $x$-axis is strongly correlated with eigenplane 1 and the $y$-axis is strongly correlated with eigenplane 2.
		This matrix changes the $x$ momenta proportionally to the $y$ position, and vice versa, effectively coupling the beam's eigenplanes to the machine's $x$- and $y$-axes.
	www.stanford.edu /~flipt/files/SULI/FinalPaper.tex (3058 words)

	Dictionary of Meaning www.mauspfeil.net
		This case is potentially physically interesting in the case that the shape of the universe is a multiply connected 3-manifold, since finding the angles of the eigenrotations of a candidate isometry for shape of the universe topological lensing is a way to scientific method falsify such hypotheses.
		- GNU GPL software for calculating eigenplanes Category:Linear algebra fr:plan propre
		There you find a list of all editors and the possibility to edit the original text of the article Eigenplane.
	www.mauspfeil.net /Eigenplane.html (215 words)

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