Merge branch 'master' of gram.cse.buffalo.edu:ODIn/Website

pull/2/head
Oliver Kennedy 2022-10-23 19:04:34 -04:00
commit b4da0ac8a4
Signed by: okennedy
GPG Key ID: 3E5F9B3ABD3FDB60
4 changed files with 17 additions and 11 deletions

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@ -357,6 +357,8 @@ schedule:
topic: Midterm Review
due: PA2
dow: Mon
section_a:
slides: slide/20b-Review.html
section_b:
slides: slide/20b-Review.html
- date: 10/19/22
@ -367,6 +369,10 @@ schedule:
- date: 10/21/22
topic: Organizing Cat Pictures
dow: Fri
section_a:
slides: slide/21-AllYourBase.pdf
section_b:
slides: slide/21-AllYourBase.pdf
- week: 9
lectures:
- date: 10/24/22

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@ -245,7 +245,7 @@ cat: graphics/19b/cat.png
<p>A <b>Topological Sort</b> of a partial order $(A, \leq_1)$ is <i>any</i> total order $(A, \leq_2)$ over $A$ that "agrees" with $(A, \leq_1)$</p>
<p>For any two elements $x, y \in X$:
<p>For any two elements $x, y \in A$:
<ul>
<li>If $x \leq_1 y$ then $x \leq_2 y$</li>
<li>If $y \leq_1 x$ then $y \leq_2 x$</li>

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@ -1,7 +1,7 @@
---
template: templates/cse250_2022_slides.erb
title: Midterm Review
date: Oct 14, 2022
date: Oct 17, 2022
---
<section>
@ -226,11 +226,11 @@ scala&gt; println(s.mkString(", ")
<p>$f(n) \in O(g(n))$ iff...</p>
<dl>
<dt>$\exists c_{low}, n_{0}$ s.t. $\forall n > n_{0}$, $f(n) \geq c_{low}\cdot g(n)$</dt>
<dd>There is some $c_{low}$ that we can multiply $g(n)$ by so that $f(n)$ is <u>always</u> bigger than $c_{low}g(n)$ for values of $n$ above some $n_0$</dd>
<dt style="color: #ddd;">$\exists c_{low}, n_{0}$ s.t. $\forall n > n_{0}$, $f(n) \geq c_{low}\cdot g(n)$</dt>
<dd style="color: #ddd;">There is some $c_{low}$ that we can multiply $g(n)$ by so that $f(n)$ is <u>always</u> bigger than $c_{low}g(n)$ for values of $n$ above some $n_0$</dd>
<dt style="color: #ddd;">$\exists c_{high}, n_{0}$ s.t. $\forall n > n_{0}$, $f(n) \leq c_{high}\cdot g(n)$</dt>
<dd style="color: #ddd;">There is some $c_{high}$ that we can multiply $g(n)$ by so that $f(n)$ is <u>always</u> smaller than $c_{high}g(n)$ for values of $n$ above some $n_0$</dd>
<dt>$\exists c_{high}, n_{0}$ s.t. $\forall n > n_{0}$, $f(n) \leq c_{high}\cdot g(n)$</dt>
<dd>There is some $c_{high}$ that we can multiply $g(n)$ by so that $f(n)$ is <u>always</u> smaller than $c_{high}g(n)$ for values of $n$ above some $n_0$</dd>
</dl>
</section>
@ -240,11 +240,11 @@ scala&gt; println(s.mkString(", ")
<p>$f(n) \in \Omega(g(n))$ iff...</p>
<dl>
<dt style="color: #ddd;">$\exists c_{low}, n_{0}$ s.t. $\forall n > n_{0}$, $f(n) \geq c_{low}\cdot g(n)$</dt>
<dd style="color: #ddd;">There is some $c_{low}$ that we can multiply $g(n)$ by so that $f(n)$ is <u>always</u> bigger than $c_{low}g(n)$ for values of $n$ above some $n_0$</dd>
<dt>$\exists c_{low}, n_{0}$ s.t. $\forall n > n_{0}$, $f(n) \geq c_{low}\cdot g(n)$</dt>
<dd>There is some $c_{low}$ that we can multiply $g(n)$ by so that $f(n)$ is <u>always</u> bigger than $c_{low}g(n)$ for values of $n$ above some $n_0$</dd>
<dt>$\exists c_{high}, n_{0}$ s.t. $\forall n > n_{0}$, $f(n) \leq c_{high}\cdot g(n)$</dt>
<dd>There is some $c_{high}$ that we can multiply $g(n)$ by so that $f(n)$ is <u>always</u> smaller than $c_{high}g(n)$ for values of $n$ above some $n_0$</dd>
<dt style="color: #ddd;">$\exists c_{high}, n_{0}$ s.t. $\forall n > n_{0}$, $f(n) \leq c_{high}\cdot g(n)$</dt>
<dd style="color: #ddd;">There is some $c_{high}$ that we can multiply $g(n)$ by so that $f(n)$ is <u>always</u> smaller than $c_{high}g(n)$ for values of $n$ above some $n_0$</dd>
</dl>
</section>
@ -426,8 +426,8 @@ scala&gt; println(s.mkString(", ")
</tr>
<tr>
<td>$O(n)$</td>
<td>remove</td>
<td>$O(n)$</td>
<td>$O(n)$ or $O(n-i)$</td>
<td>$O(n)$ or $O(i)$</td>
<td>$O(1)$</td>

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