Merge branch 'master' of git:research/morse/paper/2-point

1 files changed, 15 insertions, 8 deletions

diff --git a/2-point.tex b/2-point.tex
index 806b4dd..3ae4109 100644
--- a/2-point.tex
+++ b/2-point.tex
@@ -1061,18 +1061,25 @@ for
   \\
   &
   C_{33}
-  =-\frac1{1-q_0}\left(
-    \frac{1-q^2}{1-q_0}+\frac{r^{11}_d-r^{11}_0}{1-q_0}\left[
-      (r^{11}_d-r^{11}_0)f'(1)
+  =
+    -\frac{1-q^2}{(1-q_0)^2}-\frac{r^{11}_d-r^{11}_0}{1-q_0}\left[
+      \frac{r^{11}_d-r^{11}_0}{1-q_0}f'(1)
       -2\left(
-        qr^{01}-r^{11}_0+\frac{1-q^2}{1-q_0}(r^{11}_d-r^{11}_0)
+        \frac{qr^{01}-r^{11}_0}{1-q_0}+\frac{1-q^2}{1-q_0}\frac{r^{11}_d-r^{11}_0}{1-q_0}
         \right)(f'(1)-f'(q_0))
-        -2(qr^{00}-r^{10})f'(q)
-    \right]
-    +\frac{(r^{10}-qr^{00}_d)^2}{1-q_0}f'(1)
-    \right)
+        -2\frac{qr^{00}-r^{10}}{1-q_0}f'(q)
+    \right]\\
+  &\qquad-\frac{(r^{10}-qr^{00}_d)^2}{(1-q_0)^2}f'(1)
     \\
   &
+  C_{34}
+  =-(qr^{01}-r^{11}_0)\frac{f'(1)-f'(q_0)}{1-q_0}-\frac{r^{11}_d-r^{11}_0}{1-q_0}\left(
+    \frac{1-q^2}{1-q_0}(f'(1)-f'(q_0))-f'(q_0)
+    \right)-f'(q)\frac{qr^{00}_d-r^{10}}{1-q_0}
+    \\
+  &
+    C_{35}=-C_{34}-\frac{r^{11}_d-r^{11}_0}{1-q_0}(f'(1)-f'(q_0))
+  \quad
     C_{44}=f'(1)-2f'(q_0)
     \quad
     C_{45}=f'(q_0)