From e02fa026261e4dad10154b961d599b346a5ab2b3 Mon Sep 17 00:00:00 2001
From: Holden Rohrer <hr@hrhr.dev>
Date: Fri, 16 Oct 2020 12:47:56 -0400
Subject: removed trailing spaces from numerous files

---
 houdre/01_foundations | 1 -
 houdre/hw1.tex        | 2 +-
 2 files changed, 1 insertion(+), 2 deletions(-)

(limited to 'houdre')

diff --git a/houdre/01_foundations b/houdre/01_foundations
index aedcdd2..b703fa3 100644
--- a/houdre/01_foundations
+++ b/houdre/01_foundations
@@ -18,7 +18,6 @@ Cardinality of empty set is 0. (why is this a convention and not a
 self-evident fact?)
 
 Card S = #S = cardinality of S
-    
     Flip a coin until first tail, and stop. Count # of flips.
     Omega = {1,2,3,...} = Natural numbers. (Sometimes also {0,1,2,...})
 Card N = +\infty
diff --git a/houdre/hw1.tex b/houdre/hw1.tex
index c06f5fa..e49bd49 100644
--- a/houdre/hw1.tex
+++ b/houdre/hw1.tex
@@ -144,7 +144,7 @@ $$\Pr(A\cup B) = \Pr(A\setminus B)+\Pr(B\setminus A)+\Pr(A\cap B)$$
 $$= (\Pr(A\setminus B)+\Pr(A\cap B)) + (\Pr(B\setminus A)+\Pr(A\cap B)) -
 \Pr(A\cap B)$$
 $$= \Pr(A) + \Pr(B) - \Pr(A\cap B)
-= \sum_i \Pr(A_i) - \sum_{i<j} \Pr(A_i\cap A_j).$$ 
+= \sum_i \Pr(A_i) - \sum_{i<j} \Pr(A_i\cap A_j).$$
 
 Let the above be considered a base case, with the successive case
 $U_n = U_{n-1}\cup A_n.$
-- 
cgit