search for: 4pi

...sed further before attempting any clustering at all, or I have chosen the wrong variables in the data set. I'm somehow trying to cluster signal amplitudes that are not referred to the same phase values. For instance, if I have two sinusoids sampled at different phase values like: {sin(0), sin(1/4PI), sin(3/2PI)} and {cos(1/8PI), cos(1/2PI), cos(5/2PI)} is it meaningful to cluster the two set of values above or shall I first refer both signals to the same phase in advance of clustering, like: {sin(0), sin(1/4PI), sin(3/2PI)} and {cos(0I), cos(1/4PI), cos(3/2PI)} or: {sin(1/8PI), sin(1/2...

...on't fully understand the article (my knowledge in statistics is poor) b) I did not understand which Eq. represents the kernel(s) c) I do not now R well enough to understand whether I can use kde2d or nprudens with an arbitrary kernel My simple-minded attempt was to extend the data to [-2pi:4pi) and then use kde2d, but I am wondering a) how accurate is this b) is there a way to do it properly on a torus. Thanks a lot, Tim -- -- Tim Gruene Institut fuer anorganische Chemie Tammannstr. 4 D-37077 Goettingen GPG Key ID = A46BEE1A -------------- next part -------------- A non-text attachm...

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...mum uncertainty in the measured position,dx, of the electron along the x axis and the uncertainty in its momentum, dPx, in the x direction: dPx ~ h / dx or dPx dx ~ h. (5) For more than minimum uncertainty, the "greater than" sign may added. Except for the factor of 4pi and an equal sign, this is Heisenberg's uncertainty relation for the simultaneous measurement of the position and momentum of an object . Reanalysis To be seen by the microscope, the gamma ray must be scattered into any angle within the cone of angle 2A. The microscope can resolve (tha...

...mum uncertainty in the measured position,dx, of the electron along the x axis and the uncertainty in its momentum, dPx, in the x direction: dPx ~ h / dx or dPx dx ~ h. (5) For more than minimum uncertainty, the "greater than" sign may added. Except for the factor of 4pi and an equal sign, this is Heisenberg's uncertainty relation for the simultaneous measurement of the position and momentum of an object . Reanalysis To be seen by the microscope, the gamma ray must be scattered into any angle within the cone of angle 2A. The microscope can resolve (tha...

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