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authorBlaise Thompson <blaise@untzag.com>2018-04-16 13:32:20 -0500
committerBlaise Thompson <blaise@untzag.com>2018-04-16 13:32:20 -0500
commit798bd484137439bf1d0752ddde82bf49da4af6b7 (patch)
tree030e73d1844a3d98226da55170af15ade862b584 /quantitative_ta
parent6579cbe6381ee4bb805a6d5b5cc5fbd249daa9f2 (diff)
2018-04-16 13:32
Diffstat (limited to 'quantitative_ta')
-rw-r--r--quantitative_ta/chapter.tex6
1 files changed, 3 insertions, 3 deletions
diff --git a/quantitative_ta/chapter.tex b/quantitative_ta/chapter.tex
index 099b606..cecf2b9 100644
--- a/quantitative_ta/chapter.tex
+++ b/quantitative_ta/chapter.tex
@@ -62,7 +62,7 @@ calibration sample. %
Given the eight experimental measurables ($V_\mathrm{T}$, $V_\mathrm{R}$, $V_{\Delta\mathrm{T}}$,
$V_{\Delta\mathrm{R}}$, $V_{\mathrm{T},\,\mathrm{ref}}$, $V_{\mathrm{R},\,\mathrm{ref}}$,
$\mathcal{T}_\mathrm{ref}$, $\mathcal{R}_\mathrm{ref}$) I can express all of the intensities in
-\autoref{eq:ta_complete} in terms of $I_0$. %
+\autoref{qta:eqn:ta_complete} in terms of $I_0$. %
\begin{eqnarray}
C_\mathrm{T} &=& \frac{\mathcal{T}_\mathrm{ref}}{V_{\mathrm{T},\,\mathrm{ref}}} \\
@@ -73,8 +73,8 @@ I_{\Delta\mathrm{T}} &=& I_0 C_\mathrm{T} V_{\Delta\mathrm{T}} \\
I_{\Delta\mathrm{R}} &=& I_0 C_\mathrm{R} V_{\Delta\mathrm{R}}
\end{eqnarray}
-Wonderfully, the $I_0$ cancels when plugged back in to \autoref{eq:ta_complete}, leaving a final
-expression for $\Delta A$ that only depends on my eight measurables. %
+Wonderfully, the $I_0$ cancels when plugged back into \autoref{qta:eqn:ta_complete}, leaving a
+final expression for $\Delta A$ that only depends on my eight measurables. %
\begin{equation}
\Delta A = - \log_{10} \left(\frac{C_\mathrm{T}(V_\mathrm{T} + V_{\Delta\mathrm{T}}) + C_\mathrm{R}(V_\mathrm{R} + V_{\Delta\mathrm{R}})}{C_\mathrm{T} V_\mathrm{T} + C_\mathrm{R} V_\mathrm{R}}\right)