Recent content by LinguisticM
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Graduate Bivariate gaussians for ion beam optics
This occurred to me as well but this would mean that the author in this text messed up definitions. The space variance is the variance of the radial distribution, and the plane is the variance of the cartesian projection of this distribution.- LinguisticM
- Post #8
- Forum: Set Theory, Logic, Probability, Statistics
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Graduate Bivariate gaussians for ion beam optics
Not precise language again, I apologize. - yes, by motion I mean the momentum vector - yes, X plane is the YZ-plane - the measured data do not give the momentum vector, only position. Using the 2D scintillation screen I got the 2D fluence map, which is a square array. Using the pinhole...- LinguisticM
- Post #7
- Forum: Set Theory, Logic, Probability, Statistics
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Graduate Bivariate gaussians for ion beam optics
Does |r| denote the radial distance? I understand that the measurements should give the same results. But still, in the literature I can find "plane" and "space" sigmas (standard deviations) for characterization of beam spot sizes. Read this e.g. this quote: <quote begin> Random...- LinguisticM
- Post #4
- Forum: Set Theory, Logic, Probability, Statistics
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Graduate Bivariate gaussians for ion beam optics
Hello, here is something that's been bothering me for a while: say I have a charged particle beam that can be described by one bivariate Gaussian in X dimension and another bivariate Gaussian in Y dimension. The parameters of the bivariate gaussian are the position (X) of an individual...- LinguisticM
- Thread
- Beam Ion Optics
- Replies: 7
- Forum: Set Theory, Logic, Probability, Statistics