From 98748ea4ba66f08512250777c919f39941adb2f7 Mon Sep 17 00:00:00 2001
From: "kurchan.jorge" <kurchan.jorge@gmail.com>
Date: Thu, 10 Dec 2020 12:50:51 +0000
Subject: Update on Overleaf.

---
 bezout.tex | 2 +-
 1 file changed, 1 insertion(+), 1 deletion(-)

diff --git a/bezout.tex b/bezout.tex
index b73732d..785e3d8 100644
--- a/bezout.tex
+++ b/bezout.tex
@@ -111,7 +111,7 @@ $\epsilon=H/N$, the average energy.
 Critical points are given by the set of equations:
 
 \begin{equation}
-\frac{c_p}{(p-1)!}\sum_{ i, i_2\cdots i_p}^NJ_{i, i_2\cdots i_p}z_{i_2}\cdots z_{i_p} = \epsilon z_
+\frac{c_p}{(p-1)!}\sum_{ i, i_2\cdots i_p}^NJ_{i, i_2\cdots i_p}z_{i_2}\cdots z_{i_p} = \epsilon z_i
 
 
 Since $H$ is holomorphic, a point is a critical point of its real part if and
-- 
cgit v1.2.3-70-g09d2


From 59ff2b9c61517ac7f89f38821a09ca4cf9ac28cd Mon Sep 17 00:00:00 2001
From: "kurchan.jorge" <kurchan.jorge@gmail.com>
Date: Thu, 10 Dec 2020 12:51:43 +0000
Subject: Update on Overleaf.

---
 bezout.tex | 4 ++--
 1 file changed, 2 insertions(+), 2 deletions(-)

diff --git a/bezout.tex b/bezout.tex
index 785e3d8..eaed1a7 100644
--- a/bezout.tex
+++ b/bezout.tex
@@ -112,8 +112,8 @@ Critical points are given by the set of equations:
 
 \begin{equation}
 \frac{c_p}{(p-1)!}\sum_{ i, i_2\cdots i_p}^NJ_{i, i_2\cdots i_p}z_{i_2}\cdots z_{i_p} = \epsilon z_i
-
-
+\end{equation}
+which for given $\epsilon$ are a set pf $N$ equations of degree $
 Since $H$ is holomorphic, a point is a critical point of its real part if and
 only if it is also a critical point of its imaginary part. The number of
 critical points of $H$ is therefore the number of critical points of
-- 
cgit v1.2.3-70-g09d2