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simplify latex formula
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btschwertfeger committed Feb 1, 2024
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8 changes: 4 additions & 4 deletions doc/src/methods.rst
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Expand Up @@ -322,26 +322,26 @@ Preserve Changes in Quantiles and Extremes?"*
(https://doi.org/10.1175/JCLI-D-14-00754.1).

The following equations qre based on Alex J. Cannon (2015) but extended the
shift of :math:`X_{\text{sim},p}(i)`:
shift of :math:`X_{sim,p}(i)`:

**Shift of value range**:

.. math::
X_{\text{sim},p}^{*DT}(i) = X_{\text{sim},p}(i) + \Delta\mu
X_{sim,p}^{*DT}(i) = X_{sim,p}(i) + \Delta\mu
**Additive**:

.. math::
X_{\text{sim},p}^{*DQM}(i) = F_{\text{obs},h}^{-1}\left\{F_{\text{sim},h}\left[X_{\text{sim},p}^{*DT}(i)\right]\right\}
X_{sim,p}^{*DQM}(i) = F_{obs,h}^{-1}\left\{F_{sim,h}\left[X_{sim,p}^{*DT}(i)\right]\right\}
**Multiplicative**:

.. math::
X^{*DQM}_{sim,p}(i) = F^{-1}_{obs,h}\Biggl\{F_{sim,h}\left[\frac{\mu{X_{sim,h}} \cdot \mu{X_{\text{sim},p}^{*DT}(i)}}{\mu{X_{\text{sim},p}^{*DT}(i)}}\right]\Biggr\}\frac{\mu{X_{\text{sim},p}^{*DT}(i)}}{\mu{X_{sim,h}}}
X^{*DQM}_{sim,p}(i) = F^{-1}_{obs,h}\Biggl\{F_{sim,h}\left[\frac{\mu{X_{sim,h}} \cdot \mu{X_{sim,p}^{*DT}(i)}}{\mu{X_{sim,p}^{*DT}(i)}}\right]\Biggr\}\frac{\mu{X_{sim,p}^{*DT}(i)}}{\mu{X_{sim,h}}}
.. code-block:: python
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