From 5c26c2a240ca4e24ac6418d2582e89ba7261eaf0 Mon Sep 17 00:00:00 2001
From: Luke Naylor <l.naylor@sms.ed.ac.uk>
Date: Tue, 13 Aug 2024 15:10:06 +0100
Subject: [PATCH] Capitalisations
---
tex/setting-and-problems.tex | 6 +++---
1 file changed, 3 insertions(+), 3 deletions(-)
diff --git a/tex/setting-and-problems.tex b/tex/setting-and-problems.tex
index d9c8a3f..c2f3e77 100644
--- a/tex/setting-and-problems.tex
+++ b/tex/setting-and-problems.tex
@@ -439,7 +439,7 @@ problem using Lemma \ref{lem:pseudo_wall_numerical_tests}.
and $\Delta(v) \geq 0$,
and a choice of point $P$ on $\Theta_v^-$.
Solutions $u=(r,c\ell,d\ell^2)$
- to problem \ref{problem:problem-statement-1}.
+ to Problem \ref{problem:problem-statement-1}.
Are precisely given by $r,c \in \ZZ$, $d \in \frac{1}{\lcm(m,2)}$
satisfying the following conditions:
\begin{enumerate}
@@ -465,7 +465,7 @@ problem using Lemma \ref{lem:pseudo_wall_numerical_tests}.
and
$\Delta \geq 0$, and $u$ being a Chern character with $\Delta(u) \geq 0$.
Lemma \ref{lem:pseudo_wall_numerical_tests} gives that the remaining
- conditions for $u$ being a solution to problem
+ conditions for $u$ being a solution to Problem
\ref{problem:problem-statement-1} are precisely equivalent to the
remaining conditions in this Lemma.
% TODO maybe make this more explicit
@@ -480,7 +480,7 @@ problem using Lemma \ref{lem:pseudo_wall_numerical_tests}.
and $\Delta(v) \geq 0$,
such that $\beta_{-}\coloneqq\beta_{-}(v) \in \QQ$.
Solutions $u=(r,c\ell,d\ell^2)$
- to problem \ref{problem:problem-statement-2}.
+ to Problem \ref{problem:problem-statement-2}.
Are precisely given by $r,c \in \ZZ$, $d\in\frac{1}{\lcm(m,2)}\ZZ$ satisfying
the following conditions:
\begin{enumerate}
--
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