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-rw-r--r-- | bezout.tex | 2 |
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@@ -103,7 +103,7 @@ a \emph{hyperbolic} constraint---by comparison with $|z|^2=N$. The reasoning is twofold. First, at every point $z$ the energy \eqref{eq:bare.hamiltonian} has a `radial' gradient of magnitude proportional to the energy, since $z\cdot\partial H_0=pH_0$. This anomalous direction must be neglected if critical -points are to exist a any nonzero energy, and the constraint surface $z^2=N$ is +points are to exist at any nonzero energy, and the constraint surface $z^2=N$ is the unique surface whose normal is parallel to $z$ and which contains the configuration space of the real $p$-spin model as a subspace. Second, taking the constraint to be the level set of a holomorphic function means the |