A How can I resample data with errors linearly in log space?

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To resample data and its errors linearly in log space, interpolation can be applied to both the data and its associated errors. The discussion highlights the importance of treating errors similarly to the original data during the resampling process. Concerns are raised about the legitimacy of interpolating experimental errors, particularly in the context of astronomical spectra. The conversation suggests that rebinning from linear to logarithmic scales while maintaining signal-to-noise ratios is a common practice, despite potential criticisms. An example of using the IRAF package for this purpose is also mentioned.
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I need to resample a set of data and its errors linearly in log space, with the same number of points. I was just going to interpolate between points to get the data - but how do I calculate the errors?
 
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what do you mean with "resample" if then you talk about interpolating them?
 
If you're interpolating data points, why not interpolate their errors? The errors produce two additional sets of data points above/below the original data. Treat them the same way you're treating your original data.

I assume the "data" are from a numerical simulation? Otherwise it is probably not legit to interpolate experimental errors.
 
Its experimental errors in astronomy in a spectra. It seems to be quite a commonly done thing - rebinning from linear wavelength to logarithmic whilst maintaining the overall signal to noise. Given that it is "non legit" I should have probably asked in the physics rather than maths forum!

For example I have done it using this IRAF package. http://drforum.gemini.edu/wp-content/uploads/2014/05/README.txt
 

Thread 'Deductive proof in logic formal systems'

I was reading documentation about the soundness and completeness of logic formal systems. Consider the following $$\vdash_S \phi$$ where ##S## is the proof-system making part the formal system and ##\phi## is a wff (well formed formula) of the formal language. Note the blank on left of the turnstile symbol ##\vdash_S##, as far as I can tell it actually represents the empty set. So what does it mean ? I guess it actually means ##\phi## is a theorem of the formal system, i.e. there is a...
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