Skip to content

Commit

Permalink
Capitalize "Euclidean" in glossary.tex
Browse files Browse the repository at this point in the history
  • Loading branch information
ulupo authored Sep 12, 2020
1 parent 78b9164 commit 0304093
Showing 1 changed file with 4 additions and 4 deletions.
8 changes: 4 additions & 4 deletions doc/theory/glossary.tex
Original file line number Diff line number Diff line change
Expand Up @@ -149,7 +149,7 @@
\begin{equation*}
\langle x, y \rangle = (x_1-y_1)^2 + \cdots + (x_n-y_n)^2.
\end{equation*}
This inner product is referred to as \textit{dot product} and the associated norm and distance function are respectively named \textit{euclidean norm} and \textit{euclidean distance}.
This inner product is referred to as \textit{dot product} and the associated norm and distance function are respectively named \textit{Euclidean norm} and \textit{Euclidean distance}.

For any $p \in (0,\infty]$ the pair $\mathbb R^n, ||-||_p$ with
\begin{equation*}
Expand All @@ -168,8 +168,8 @@
metric space. A \textit{distance matrix} associated to it is obtained by choosing a total order on $X = {x_1 < \cdots < x_m}$ and setting the $(i,j)$-entry to be equal to $d(x_i, x_j)$.

A \textit{point cloud} is a finite subset of $\mathbb{R}^n$ (for some $n$) together with the metric induced from the
% \hyperref[euclidean_distance_and_norm]{eucliden distance}
euclidean distance.
% \hyperref[euclidean_distance_and_norm]{Eucliden distance}
Euclidean distance.

\subsection*{$L^p$-norms} \label{functional_lp}

Expand Down Expand Up @@ -635,4 +635,4 @@
\bibliography{bibliography}{}
\bibliographystyle{alpha}

\end{document}
\end{document}

0 comments on commit 0304093

Please sign in to comment.