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-rw-r--r--topology.tex8
1 files changed, 7 insertions, 1 deletions
diff --git a/topology.tex b/topology.tex
index 4d2d660..4c14207 100644
--- a/topology.tex
+++ b/topology.tex
@@ -7,6 +7,12 @@
\usepackage[dvipsnames]{xcolor}
\usepackage{anyfontsize,authblk}
+\urlstyle{sf}
+
+% Fix \cal and \mathcal characters look (so it's not the same as \mathscr)
+\DeclareSymbolFont{usualmathcal}{OMS}{cmsy}{m}{n}
+\DeclareSymbolFontAlphabet{\mathcal}{usualmathcal}
+
\hypersetup{
colorlinks=true,
urlcolor={blue!50!black},
@@ -104,7 +110,7 @@ tissues \cite{Fyodorov_2019_A, Fyodorov_2020_Counting,
Montanari_2024_On, Kent-Dobias_2024_Conditioning, Kent-Dobias_2024_Algorithm-independent}. In each of these cases, the authors studied properties of
the cost function
\begin{equation} \label{eq:cost}
- \mathcal C(\mathbf x)=\frac12\sum_{k=1}^MV_k(\mathbf x)^2
+ \mathscr C(\mathbf x)=\frac12\sum_{k=1}^MV_k(\mathbf x)^2
\end{equation}
which achieves zero only for configurations that satisfy all the constraints.
Here we dispense with the cost function and study the set of solutions