From 09f414d6fd39456d33975474cc8f835f24c8316a Mon Sep 17 00:00:00 2001
From: Oliver <okennedy@buffalo.edu>
Date: Tue, 2 Mar 2021 12:35:43 -0500
Subject: [PATCH] slides

---
 src/teaching/cse-562/2021sp/index.erb         |  2 +
 .../2021sp/slide/2021-03-02-Indexing1.erb     | 55 +++++++++++++++++--
 2 files changed, 51 insertions(+), 6 deletions(-)

diff --git a/src/teaching/cse-562/2021sp/index.erb b/src/teaching/cse-562/2021sp/index.erb
index 9f318747..bd385a48 100644
--- a/src/teaching/cse-562/2021sp/index.erb
+++ b/src/teaching/cse-562/2021sp/index.erb
@@ -44,6 +44,8 @@ schedule:
       slides: slide/2021-02-25-PhysicalLayout.html
   - date: "Mar. 2"
     topic: "Indexes: Tree-Based, Hash"
+    materials: 
+      slides: slide/2021-03-02-Indexing1.html
   - date: "Mar. 4"
     topic: "Indexes: View-Based, Modern"
   - date: "Mar. 9"
diff --git a/src/teaching/cse-562/2021sp/slide/2021-03-02-Indexing1.erb b/src/teaching/cse-562/2021sp/slide/2021-03-02-Indexing1.erb
index f2d3c673..ba3f73f4 100644
--- a/src/teaching/cse-562/2021sp/slide/2021-03-02-Indexing1.erb
+++ b/src/teaching/cse-562/2021sp/slide/2021-03-02-Indexing1.erb
@@ -119,11 +119,11 @@ textbook: "Ch. 8.3-8.4, 14.1-14.2, 14.4"
   </section>
 
   <section>
-    <svg data-src="graphics/2021-03-02-Tree-Motivation.svg"/>
+    <img src="graphics/2021-03-02-Tree-Motivation.svg"/>
   </section>
 
   <section>
-    <svg data-src="graphics/2021-03-02-Tree-Unbalanced.svg"/>
+    <img data-src="graphics/2021-03-02-Tree-Unbalanced.svg" height="500px"/>
   </section>
 
   <section>
@@ -205,11 +205,11 @@ textbook: "Ch. 8.3-8.4, 14.1-14.2, 14.4"
         <dd class="fragment">Always works... but slow</dd>
       </div>
       <div class="fragment">
-        <dt>$\pi_A\left(\sigma_{\wedge B = 1}( IndexScan(R,\;C < 3) ) \right)$</dt>
+        <dt>$\pi_A\left(\sigma_{B = 1}( IndexScan(R,\;C < 3) ) \right)$</dt>
         <dd class="fragment">Requires a non-hash index on $C$</dd>
       </div>
       <div class="fragment">
-        <dt>$\pi_A\left(\sigma_{\wedge C < 3}( IndexScan(R,\;B=1) ) \right)$</dt>
+        <dt>$\pi_A\left(\sigma_{C < 3}( IndexScan(R,\;B=1) ) \right)$</dt>
         <dd class="fragment">Requires a any index on $B$</dd>
       </div>
       <div class="fragment">
@@ -249,7 +249,6 @@ textbook: "Ch. 8.3-8.4, 14.1-14.2, 14.4"
       <li class="fragment">For every $c_i \equiv (A = a)$: Do you have any index on $A$?</li>
       <li class="fragment">For every $c_i \in \{\; (A \geq a), (A > a), (A \leq a), (A < a)\;\}$: Do you have a tree index on $A$?</li>
       <li class="fragment">For every $c_i, c_j$, do you have an appropriate index?</li>
-      <li class="fragment">etc...</li>
       <li class="fragment">A simple table scan is also an option</li>
     </ol>
     <p class="fragment">Which one do we pick?</p>
@@ -307,6 +306,50 @@ textbook: "Ch. 8.3-8.4, 14.1-14.2, 14.4"
   </section>
 </section>
 
+<section>
+
+  <section>
+    <p>What if we need multiple sort orders?</p>
+  </section>
+
+  <section>
+    <h3>Data Organization</h3>
+    <img src="2021-03-02/PrimaryVsSecondary.png" />
+  </section>
+
+  <section>
+    <h3>Data Organization</h3>
+    <img src="2021-03-02/Index-Types.svg" />
+  </section>
+  
+  <section>
+    <h3>Data Organization</h3>
+
+    <dl>
+      <div>
+        <dt>Unordered Heap</dt>
+        <dd>$O(N)$ reads.</dd>
+      </div>
+
+      <div>
+        <dt>Sorted List</dt>
+        <dd>$O(\log_2 N)$ <b>random</b> reads for <b>some</b> queries.</dd>
+      </div>
+
+      <div>
+        <dt>Clustered (Primary) Index</dt>
+        <dd>$O(\ll N)$ <b>sequential</b> reads for <b>some</b> queries.</dd>
+      </div>
+
+      <div>
+        <dt>(Secondary) Index</dt>
+        <dd>$O(\ll N)$ <b>random</b> reads for <b>some</b> queries.</dd>
+      </div>
+
+    </dl>
+  </section>
+</section>
+
 
 <section>
   <section>
@@ -322,7 +365,7 @@ textbook: "Ch. 8.3-8.4, 14.1-14.2, 14.4"
         <dd>Different $k$s are unlikely to have the same hash value.</dd>
       </dl>
     </p>
-    <p class="fragment">Modulus $h(k)\mod N$ gives you a random number in $[0, N)$</p>
+    <p class="fragment">$h(k)\mod N$ gives you a random number in $[0, N)$</p>
   </section>
 
   <section>