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-rw-r--r-- | bezout.tex | 2 |
1 files changed, 1 insertions, 1 deletions
@@ -118,7 +118,7 @@ We see from (\ref{cosa}) that at any critical point, $\epsilon=H/N$, the average Since $H$ is holomorphic, any critical point of $\operatorname{Re}H$ is also a critical point of $\operatorname{Im}H$. The number of critical points of $H$ is therefore the same as that of $\operatorname{Re}H$. From each saddle -emerge a gradient lines of $\operatorname{Re}H$, which is also one of constant +emerge gradient lines of $\operatorname{Re}H$, which are also ones of constant $\operatorname{Im}H$ and therefore constant phase. Writing $z=x+iy$, $\operatorname{Re}H$ can be considered a real-valued function |