It is a nice demonstration that |χ(R)| is not equal to |χ1(R)|+ |χ2(R)| + ...  |χn(R)|.
It is equal to: |χ1(R) +  χ2(R) + ... χn(R) |. The latter is most often smaller than the former, according to the Cauchy-Schwarz inequality.
Anatoly



On Wed, Sep 23, 2020 at 8:58 AM Ashwini Kumar Poswal <poswalashwini@gmail.com> wrote:
Dear All,
I have one problem regarding the sum of all paths (R-space) after fitting. If we include many paths for the fitting, the fitting shows a good fit but after fitting, I select all paths and export (using Artemis [Data] window: save data + marked paths as |χ(R)|. I plotted all paths in origin as well as the sum of all paths. But when I add up all the contributions from all the paths, the deviation at larger paths is extraordinarily high and not equal to final fit. I am attaching a figure for illustration. It is clearly seen that the final fit is lesser compared to one of the path and the sum of all paths is quite high compared to fit (as shown in second figure. Can anybody suggest, how to sum different paths?
image.png
image.png

Regards
Ashwini Kumar Poswal
Mumbai
Tel.-+91 (022) 25595081
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