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 <
poswalashw...@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: image.png]
> [image: image.png]
>
> Regards
> *Ashwini Kumar Poswal*
> *Mumbai*
> *Tel.-+91 (022) 25595081*
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