diff --git a/src/teaching/cse-250/2022fa/slide/20b-Review.erb b/src/teaching/cse-250/2022fa/slide/20b-Review.erb
index 8c7e99e1..da29883f 100644
--- a/src/teaching/cse-250/2022fa/slide/20b-Review.erb
+++ b/src/teaching/cse-250/2022fa/slide/20b-Review.erb
@@ -226,11 +226,11 @@ scala> println(s.mkString(", ")
$f(n) \in O(g(n))$ iff...
- - $\exists c_{low}, n_{0}$ s.t. $\forall n > n_{0}$, $f(n) \geq c_{low}\cdot g(n)$
- - There is some $c_{low}$ that we can multiply $g(n)$ by so that $f(n)$ is always bigger than $c_{low}g(n)$ for values of $n$ above some $n_0$
+ - $\exists c_{low}, n_{0}$ s.t. $\forall n > n_{0}$, $f(n) \geq c_{low}\cdot g(n)$
+ - There is some $c_{low}$ that we can multiply $g(n)$ by so that $f(n)$ is always bigger than $c_{low}g(n)$ for values of $n$ above some $n_0$
- - $\exists c_{high}, n_{0}$ s.t. $\forall n > n_{0}$, $f(n) \leq c_{high}\cdot g(n)$
- - There is some $c_{high}$ that we can multiply $g(n)$ by so that $f(n)$ is always smaller than $c_{high}g(n)$ for values of $n$ above some $n_0$
+ - $\exists c_{high}, n_{0}$ s.t. $\forall n > n_{0}$, $f(n) \leq c_{high}\cdot g(n)$
+ - There is some $c_{high}$ that we can multiply $g(n)$ by so that $f(n)$ is always smaller than $c_{high}g(n)$ for values of $n$ above some $n_0$
@@ -240,11 +240,11 @@ scala> println(s.mkString(", ")
$f(n) \in \Omega(g(n))$ iff...
- - $\exists c_{low}, n_{0}$ s.t. $\forall n > n_{0}$, $f(n) \geq c_{low}\cdot g(n)$
- - There is some $c_{low}$ that we can multiply $g(n)$ by so that $f(n)$ is always bigger than $c_{low}g(n)$ for values of $n$ above some $n_0$
+ - $\exists c_{low}, n_{0}$ s.t. $\forall n > n_{0}$, $f(n) \geq c_{low}\cdot g(n)$
+ - There is some $c_{low}$ that we can multiply $g(n)$ by so that $f(n)$ is always bigger than $c_{low}g(n)$ for values of $n$ above some $n_0$
- - $\exists c_{high}, n_{0}$ s.t. $\forall n > n_{0}$, $f(n) \leq c_{high}\cdot g(n)$
- - There is some $c_{high}$ that we can multiply $g(n)$ by so that $f(n)$ is always smaller than $c_{high}g(n)$ for values of $n$ above some $n_0$
+ - $\exists c_{high}, n_{0}$ s.t. $\forall n > n_{0}$, $f(n) \leq c_{high}\cdot g(n)$
+ - There is some $c_{high}$ that we can multiply $g(n)$ by so that $f(n)$ is always smaller than $c_{high}g(n)$ for values of $n$ above some $n_0$
@@ -426,8 +426,8 @@ scala> println(s.mkString(", ")
- $O(n)$ |
remove |
+ $O(n)$ |
$O(n)$ or $O(n-i)$ |
$O(n)$ or $O(i)$ |
$O(1)$ |