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authorJaron Kent-Dobias <jaron@kent-dobias.com>2023-05-19 11:01:59 +0200
committerJaron Kent-Dobias <jaron@kent-dobias.com>2023-05-19 11:01:59 +0200
commit66ec45e6d05f7b8a6f91bc90df768b1d0db37f0f (patch)
treeb37100c403b162385ef571d8fbf775e9fcc3b9aa /2-point.tex
parent32cc4092a15298d885cabcfc738834fcea9552e4 (diff)
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Finished entering the C matrix.
Diffstat (limited to '2-point.tex')
-rw-r--r--2-point.tex23
1 files changed, 15 insertions, 8 deletions
diff --git a/2-point.tex b/2-point.tex
index 1c11fc1..21eb512 100644
--- a/2-point.tex
+++ b/2-point.tex
@@ -978,18 +978,25 @@ 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)