diff --git a/main.tex b/main.tex
index 74f2d8a..62ea218 100644
--- a/main.tex
+++ b/main.tex
@@ -5,6 +5,7 @@
 \usepackage{amsthm}                         % Theorem environments
 \usepackage{amsfonts}                       % Additional math fonts
 \usepackage{bookmark}                       % Improves PDF bookmarks (better than hyperref's default)
+\usepackage{braket}                         % more brakets for scientific notations
 \usepackage{changepage,titlesec,fancyhdr}   % Adjusting layout, section titles, and headers/footers
 \usepackage[ddmmyyyy]{datetime}             % Custom date formatting
 \usepackage{cleveref}                       % Smarter cross-referencing (e.g., auto "Figure", "Table")