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authorJaron Kent-Dobias <jaron@kent-dobias.com>2020-12-10 13:52:25 +0100
committerJaron Kent-Dobias <jaron@kent-dobias.com>2020-12-10 13:52:25 +0100
commit68045a697a427f7ff8745fbf6a1fbfce0f0acc72 (patch)
treeb77f5c72d57c686dd2b32315a62a11009f055b00
parent3400a6a591e6e3207a9d8964ad02f7578c1db0d8 (diff)
parent59ff2b9c61517ac7f89f38821a09ca4cf9ac28cd (diff)
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Merge branch 'master' of https://git.overleaf.com/5fcce4736e7f601ffb7e1484
-rw-r--r--bezout.tex6
1 files changed, 3 insertions, 3 deletions
diff --git a/bezout.tex b/bezout.tex
index ba9b647..480fb2a 100644
--- a/bezout.tex
+++ b/bezout.tex
@@ -111,9 +111,9 @@ $\epsilon=H/N$, 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
+\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