Simplified constraint arguement somewhat.

1 files changed, 1 insertions, 3 deletions

diff --git a/bezout.tex b/bezout.tex
index 458b448..db14a52 100644
--- a/bezout.tex
+++ b/bezout.tex
@@ -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