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authorjoshuab <>2010-07-12 22:40:03 +0000
committerbnewbold <bnewbold@adelie.robocracy.org>2010-07-12 22:40:03 +0000
commit3691af780fe86b90c4e52c4c6124a8b2dd58d8a3 (patch)
tree2b70798a67231a7bd4457093ea8ea33709a59445
parent23067deb5514191195447ebfe67b4333ac1b3a72 (diff)
downloadafterklein-wiki-3691af780fe86b90c4e52c4c6124a8b2dd58d8a3.tar.gz
afterklein-wiki-3691af780fe86b90c4e52c4c6124a8b2dd58d8a3.zip
typo fixed
-rw-r--r--ClassJune26.page4
1 files changed, 2 insertions, 2 deletions
diff --git a/ClassJune26.page b/ClassJune26.page
index b5454a4..b5dff79 100644
--- a/ClassJune26.page
+++ b/ClassJune26.page
@@ -216,7 +216,7 @@ angle, and $df$ is linear, its image must bisect too, that is, the
little square must become a little *square*. Numerically, this
means that $\left(\begin{array}{c}
\frac{\partial u}{\partial y}\\
-\frac{\partial u}{\partial y}\end{array}\right)$ is $\left(\begin{array}{c}
+\frac{\partial v}{\partial y}\end{array}\right)$ is $\left(\begin{array}{c}
\frac{\partial u}{\partial x}\\
\frac{\partial v}{\partial x}\end{array}\right)$ rotated by $\pi/2$. If we write
$\left(\begin{array}{c}
@@ -226,7 +226,7 @@ b\end{array}\right)=\left(\begin{array}{c}
\frac{\partial v}{\partial x}\end{array}\right)$
, then $\left(\begin{array}{c}
\frac{\partial u}{\partial y}\\
-\frac{\partial u}{\partial y}\end{array}\right)=\left(\begin{array}{c}
+\frac{\partial v}{\partial y}\end{array}\right)=\left(\begin{array}{c}
-b\\
a\end{array}\right).$
Put another way, the linear transformation $df(z)$ has the form