diff options
Diffstat (limited to 'topology.tex')
-rw-r--r-- | topology.tex | 8 |
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 |