[ps2] additional problem, typos

1 files changed, 5 insertions, 3 deletions

diff --git a/ps2/main.tex b/ps2/main.tex
index 6979b97..17f7693 100644
--- a/ps2/main.tex
+++ b/ps2/main.tex
@@ -136,12 +136,14 @@ by considering its restriction to an increasing sequence of bounded rectangles:
 $K_n = \prod_{i=1}^n [-n, n]$. We can apply the previous result to each of the
 truncated distributions and again take the limit as $n\rightarrow\infty$. The
 validity of this last limit will depend on the exact technical assumptions we
-make on $\mathbf{F}$ (basically we need $F$ to be quickly decreasing outside of
-bounded intervals).
+make on $\mathbf{F}$ (basically we need $\mathbf{F}$ to be quickly decreasing
+outside of bounded intervals).
 
 More generally, the previous approach will apply as long as we are considering
 a distribution $\mathbf{F}$ in a space of distributions for which finite
 support distributions are dense for the weak topology. There are various
-assumptions with various level of technicality which imply such a density.
+assumptions with various level of technicality which imply such a density. We
+can choose to apply one or the other based on the assumptions we have on
+$\mathbf{F}$.
 
 \end{document}