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| -rw-r--r-- | bezout.tex | 6 |
1 files changed, 3 insertions, 3 deletions
@@ -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 |