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Case 1: High redshift universe

This case is dealt with the redshift, i.e.,

\begin{displaymath}
\ensuremath{\mathrm{f_{}}}(\ensuremath{d_{\ensuremath{\math...
...h{d_{\ensuremath{\mathrm{sys}}}^{\ensuremath{\mathrm{obs}}}}).
\end{displaymath} (36)

As stated before, the redshift is before all an observational quantity. This means that the complex relationship between \ensuremath{d_{\ensuremath{\mathrm{sys}}}^{\ensuremath{\mathrm{obs}}}} and \ensuremath{z_{\ensuremath{\mathrm{}}}} is hidden to the observer. This implies that the transformation between the observatory frequency scale and the rest one is straightforward and ``exact'' as a function of redshift, i.e., independent of the interpretation as a function of \ensuremath{v_{\ensuremath{\mathrm{sys}}}^{\ensuremath{\mathrm{obs}}}}.



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