left in incorrect text in hw6

1 files changed, 1 insertions, 3 deletions

diff --git a/houdre/hw6.tex b/houdre/hw6.tex
index cf6a3a4..c6b02c0 100644
--- a/houdre/hw6.tex
+++ b/houdre/hw6.tex
@@ -110,9 +110,7 @@ r_\phi^2)}r_\theta r_\phi d\theta dr_\theta d\phi dr_\phi.$$
 The joint probability density function of either location is the product
 of two normal distributions on $x$ and $y$:
 $$f_{X,Y}(x,y) = {1\over2\pi\sigma^2}e^{-{1\over2\sigma^2}(x^2+y^2)}.$$
-The distance between these two is $D=(X_1-X_0, Y_1-Y_0),$ with a
-probability distribution of
-$$f_{D_X}(x) = f_{X,Y}(x,y)$$
+The distance from $(0,0)$ is $r$ in a polar coordinate system.
 Transforming this into polar coordinates gives the Jacobian (with
 $x=r\cos\theta$ and $y=r\sin\theta$)
 $$J = \left|\matrix{\pa x\theta&\pa xr\cr\pa y\theta&\pa yr\cr}\right| =