From f8e0166f4b438313f7fccc82e6114dbc4e0c9046 Mon Sep 17 00:00:00 2001
From: bnewbold <bnewbold@alum.mit.edu>
Date: Wed, 30 Jun 2010 06:32:02 +0000
Subject: tex

---
 ClassJune26.page | 11 +++++------
 1 file changed, 5 insertions(+), 6 deletions(-)

(limited to 'ClassJune26.page')

diff --git a/ClassJune26.page b/ClassJune26.page
index 18f2292..0d8d588 100644
--- a/ClassJune26.page
+++ b/ClassJune26.page
@@ -137,8 +137,8 @@ b\end{array}\right)$ itself, and the second column is the image of $i=\left(\beg
 1\end{array}\right)$, which is $\rho$ rotated by $90^{\circ}$, which has coordinates
 $\left(\begin{array}{c}
 -b\\
-a\end{array}\right)$. So complex number $a+bi$ is identified with the matrix $
-\left(\begin{array}{cc}
+a\end{array}\right)$. So complex number $a+bi$ is identified with the matrix 
+$\left(\begin{array}{cc}
 a & -b\\
 b & a\end{array}\right).$
 As a sanity check, note that $i$ corresponds to $\left(\begin{array}{cc}
@@ -218,14 +218,13 @@ means that $\left(\begin{array}{c}
 \frac{\partial u}{\partial y}\\
 \frac{\partial u}{\partial y}\end{array}\right)$ is $\left(\begin{array}{c}
 \frac{\partial u}{\partial x}\\
-\frac{\partial v}{\partial x}\end{array}\right)$ rotated by $\pi/2$. If we write \[
-\left(\begin{array}{c}
+\frac{\partial v}{\partial x}\end{array}\right)$ rotated by $\pi/2$. If we write 
+$\[\left(\begin{array}{c}
 a\\
 b\end{array}\right)=\left(\begin{array}{c}
 \frac{\partial u}{\partial x}\\
 \frac{\partial v}{\partial x}\end{array}\right)$
-, then $
-\left(\begin{array}{c}
+, then $\left(\begin{array}{c}
 \frac{\partial u}{\partial y}\\
 \frac{\partial u}{\partial y}\end{array}\right)=\left(\begin{array}{c}
 -b\\
-- 
cgit v1.2.3