Can anyone help with peak summation?

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    Peak Summation
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SUMMARY

The discussion centers on the concept of peak summation in mathematical analysis, specifically regarding the approximation of the area under a peak by summing recorded peak intensities. It clarifies that while summing peak intensities yields a magnitude, true area calculation involves integration, which can be viewed as a summation of peak areas over infinitesimally small intervals. The conversation references the Riemann Sum, emphasizing the importance of mesh size (Δx) in accurately evaluating area. Ultimately, for relative area calculations, the mesh size can be disregarded, allowing for the summation of peak intensities to suffice.

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  • Understanding of Riemann Sums
  • Basic knowledge of integration techniques
  • Familiarity with peak intensity measurements
  • Concept of mesh size in numerical analysis
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  • Study Riemann Sums and their applications in calculus
  • Explore integration techniques for calculating areas under curves
  • Research numerical methods for approximating integrals
  • Learn about peak intensity analysis in data interpretation
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Mathematicians, data analysts, and students studying calculus or numerical methods who are interested in understanding peak area calculations and their applications in various fields.

physical101
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Hi there I have read that the area of a peak can be approximated by summing the recorded peak intensities. I can't see how this works?
If you add all the peak intensities together is not just the magnitude of their sum and not the area of the surface the peak overlays?
Someone told me that integration is just a summation of the peak intensities but is it not a summation of the peak areas at an really small interval?
Please help
 
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I suppose you are talking about http://mathworld.wolfram.com/RiemannSum.html" when evaluating the area. Then you are right, you have to take into account the mesh size [tex]\Delta x[/tex].

Could it be that your mesh size equals 1? Or maybe your are only interested in the relative area of your peak? Because then if you write down the ratio

ratio = peak_Area / total_Area

the mesh size cancels and it is sufficient to add the peak intensitities.
 
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