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-rw-r--r--source/dn001.07/paper.tex5
1 files changed, 3 insertions, 2 deletions
diff --git a/source/dn001.07/paper.tex b/source/dn001.07/paper.tex
index d2fea32..659aea8 100644
--- a/source/dn001.07/paper.tex
+++ b/source/dn001.07/paper.tex
@@ -6,6 +6,7 @@
\usepackage{listings}
\usepackage{xcolor}
\usepackage{hyperref}
+\usepackage{mathtools}
\usepackage{amsfonts}
\usepackage[margin=0.5in,top=1in,bottom=1in]{geometry}
@@ -25,8 +26,8 @@
We assume that $u \in \mathbb{R}, \quad \forall u \in \mathbb{R} : u < \pi, \quad 0 < u < \pi$
\begin{equation}
- I_{1} = \int_{u_{0}}^{u} S(t) dt, \quad t = u, \quad u > 0
+ I_{1} \coloneqq \int_{u_{0}}^{u} S(t) dt, \quad t = u, \quad u > 0
\end{equation}
-Where $u > 0, \quad u \in \mathbb{R}$, let $S : (0, \pi) \to \mathbb{R}$.
+Where $u, u_{0} > 0, \quad u, u_{0} \in \mathbb{R}$, such that $S : (u, \pi) \to \mathbb{R}$.
\end{document}