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| -rw-r--r-- | bezout.tex | 4 |
1 files changed, 1 insertions, 3 deletions
@@ -106,9 +106,7 @@ First, we seek draw conclusions from our model that would be applicable to generic holomorphic functions without any symmetry. Samples of $H_0$ nearly provide this, save for a single anomaly: the value of the energy and its gradient at any point $z$ correlate along the $z$ direction, with -$\overline{H_0\partial_iH_0}\propto \overline{H_0(\partial_iH_0)^*}\propto z_i$. Besides being a -spurious correlation, in each sample there is also a `radial' gradient of -magnitude proportional to the energy, since $z\cdot\partial H_0=pH_0$. This +$\overline{H_0\partial H_0}\propto \overline{H_0(\partial H_0)^*}\propto z$. This anomalous direction must be neglected if we are to draw conclusions about generic functions, and the constraint surface $z^Tz=N$ is the unique surface whose normal is parallel to $z$ and which contains the configuration space of |