From afd2892674c31d96523eea8717826ce4b0a7dc57 Mon Sep 17 00:00:00 2001
From: Aiqi Cheng <144632270+aiqicheng@users.noreply.github.com>
Date: Fri, 5 Sep 2025 15:45:53 -0400
Subject: [PATCH] correct eqn. (S.2.26)

changed second term denominator
---
 topics/optimisation.tex | 2 +-
 1 file changed, 1 insertion(+), 1 deletion(-)

diff --git a/topics/optimisation.tex b/topics/optimisation.tex
index 0b62965..d6a6008 100644
--- a/topics/optimisation.tex
+++ b/topics/optimisation.tex
@@ -129,7 +129,7 @@
       J(\w + \epsilon \h) &= \sqrt{f(\w+\epsilon \h)} \\
                           &= \sqrt{f(\w)} + \epsilon \frac{1}{2\sqrt{f(\w)}} 2\w^\top \h + O(\epsilon^2)\\
                           &= \sqrt{f(\w)} + \epsilon \frac{\w^\top}{\sqrt{f(\w)}}\h + O(\epsilon^2)\\
-                          &= J(\w) +  \epsilon \frac{\w^\top}{\sqrt{||\w||_2}}\h + O(\epsilon^2)
+                          &= J(\w) +  \epsilon \frac{\w^\top}{||\w||_2}\h + O(\epsilon^2)
     \end{align}
     so that
     \begin{equation}