Unformatted text preview: there are only a small number of negative values in the solution, and these have small magnitude, we might accept this solution. Now we need to extract the energies and estimated counts for the 4 types of particles. I have normalized so that the count for the lowest energy peak is 1. The Computed Estimate to Energy Levels and Counts bin centers 2.55 3.25 3.55 3.85 relative counts 1.00 1.39 1.91 0.90 A spectroscopist would actually estimate the counts by taking the integral under each of the 4 peaks, and estimate the energy by the centroid of the peak, but this is diﬃcult since three of the peaks are not well separated. The Truth. The program used to generate the data is posted. The variance of the error is 10 − 4 . The True Energy Levels and Counts energy 2.54 3.25 3.53 3.85 relative counts 1 1.5 2 1 So, despite all of the errors, our computed solution estimates the energy levels to 2 digits and the relative counts to within 10%....
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- Fall '11
- Normal Distribution, 10%, 2 digits, relative counts