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commit 519f3ddc16ef30502825ef2113b6d1463f68cea5
Author: buildbot <[email protected]>
AuthorDate: Mon Nov 1 17:45:43 2021 +0000
Automatic Site Publish by Buildbot
---
output/docs/Theta/ThetaSetOpsCornerCases.html | 38 ++++++++++++---------------
1 file changed, 17 insertions(+), 21 deletions(-)
diff --git a/output/docs/Theta/ThetaSetOpsCornerCases.html
b/output/docs/Theta/ThetaSetOpsCornerCases.html
index de7d173..96acf37 100644
--- a/output/docs/Theta/ThetaSetOpsCornerCases.html
+++ b/output/docs/Theta/ThetaSetOpsCornerCases.html
@@ -543,6 +543,8 @@
<p>Each of the above three variables can be represented as boolean variable.
Thus, there are 8 possible combinations of the three variables.</p>
+<hr />
+
<p><sup>1</sup> Anirban Dasgupta, Kevin J. Lang, Lee Rhodes, and Justin
Thaler. A framework for estimating stream expression cardinalities. In
*EDBT/ICDT Proceedings ‘16 *, pages 6:1–6:17, 2016.</p>
<h2 id="valid-states-of-a-sketch">Valid States of a Sketch</h2>
@@ -579,15 +581,7 @@
<li><em>empty = true := 1, else 0</em></li>
</ul>
-<table>
- <tbody>
- <tr>
- <td>The octal digit ID = ((theta == 1.0) ? 4 : 0)</td>
- <td>((retainedEntries > 0) ? 2 : 0)</td>
- <td>(empty ? 1 : 0);</td>
- </tr>
- </tbody>
-</table>
+<p>The octal digit <code class="highlighter-rouge">ID = ((theta == 1.0) ? 4 :
0) | ((retainedEntries > 0) ? 2 : 0) | (empty ? 1 : 0);</code></p>
<table>
<thead>
@@ -650,6 +644,8 @@
</tbody>
</table>
+<hr />
+
<p><sup>2</sup> <em>New Degenerate</em>: New Empty Sketch where the user sets
<em>p < 1.0</em>. This can be safely reinterpreted as {1.0,0,T} because it
has not seen any data.<br />
<sup>3</sup> <em>Result Degenerate</em>: Can appear as a result of a an
Intersection or AnotB of certain combination of sketches.</p>
@@ -711,8 +707,8 @@ The <em>Has Seen Data</em> column is not an independent
variable, but helps with
<td style="text-align: center">00</td>
<td style="text-align: center">ResultDegen {<1.0,0,F}</td>
<td style="text-align: center">ResultDegen {<1.0,0,F}</td>
- <td style="text-align: center">New {minTheta,0,F}</td>
- <td style="text-align: center">New {minTheta,0,F}</td>
+ <td style="text-align: center">ResultDegen {minTheta,0,F}</td>
+ <td style="text-align: center">ResultDegen {minTheta,0,F}</td>
<td style="text-align: center">2,2</td>
</tr>
<tr>
@@ -720,15 +716,15 @@ The <em>Has Seen Data</em> column is not an independent
variable, but helps with
<td style="text-align: center">ResultDegen {<1.0,0,F}</td>
<td style="text-align: center">NewDegen {<1.0,0,T}</td>
<td style="text-align: center">New {1.0,0,T}</td>
- <td style="text-align: center">New {ThetaA,0,F}</td>
+ <td style="text-align: center">ResultDegen {ThetaA,0,F}</td>
<td style="text-align: center">1,3</td>
</tr>
<tr>
<td style="text-align: center">02</td>
<td style="text-align: center">ResultDegen {<1.0,0,F}</td>
<td style="text-align: center">Estimation {<1.0,>0,F}</td>
- <td style="text-align: center">New {minTheta,0,F}</td>
- <td style="text-align: center">New {minTheta,0,F}</td>
+ <td style="text-align: center">ResultDegen {minTheta,0,F}</td>
+ <td style="text-align: center">ResultDegen {minTheta,0,F}</td>
<td style="text-align: center">2,2</td>
</tr>
<tr>
@@ -736,15 +732,15 @@ The <em>Has Seen Data</em> column is not an independent
variable, but helps with
<td style="text-align: center">ResultDegen {<1.0,0,F}</td>
<td style="text-align: center">New {1.0,0,T}</td>
<td style="text-align: center">New {1.0,0,T}</td>
- <td style="text-align: center">New {ThetaA,0,F}</td>
+ <td style="text-align: center">ResultDegen {ThetaA,0,F}</td>
<td style="text-align: center">1,3</td>
</tr>
<tr>
<td style="text-align: center">06</td>
<td style="text-align: center">ResultDegen {<1.0,0,F}</td>
<td style="text-align: center">Exact {1.0,>0,F}</td>
- <td style="text-align: center">New {minTheta,0,F}</td>
- <td style="text-align: center">New {ThetaA,0,F}</td>
+ <td style="text-align: center">ResultDegen {minTheta,0,F}</td>
+ <td style="text-align: center">ResultDegen {ThetaA,0,F}</td>
<td style="text-align: center">2,3</td>
</tr>
<tr>
@@ -791,7 +787,7 @@ The <em>Has Seen Data</em> column is not an independent
variable, but helps with
<td style="text-align: center">20</td>
<td style="text-align: center">Estimation {<1.0,>0,F}</td>
<td style="text-align: center">ResultDegen {<1.0,0,F}</td>
- <td style="text-align: center">New {minTheta,0,F}</td>
+ <td style="text-align: center">ResultDegen {minTheta,0,F}</td>
<td style="text-align: center">Trim A by minTheta</td>
<td style="text-align: center">2,4</td>
</tr>
@@ -871,7 +867,7 @@ The <em>Has Seen Data</em> column is not an independent
variable, but helps with
<td style="text-align: center">60</td>
<td style="text-align: center">Exact {1.0,>0,F}</td>
<td style="text-align: center">ResultDegen {<1.0,0,F}</td>
- <td style="text-align: center">New {minTheta,0,F}</td>
+ <td style="text-align: center">ResultDegen {minTheta,0,F}</td>
<td style="text-align: center">Trim A by minTheta</td>
<td style="text-align: center">2,4</td>
</tr>
@@ -938,13 +934,13 @@ The <em>Has Seen Data</em> column is not an independent
variable, but helps with
<td style="text-align: center">Yes</td>
</tr>
<tr>
- <td style="text-align: center">New{min,0,F}</td>
+ <td style="text-align: center">ResultDegen{min,0,F}</td>
<td style="text-align: center">2</td>
<td style="text-align: center">Yes</td>
<td style="text-align: center">Yes</td>
</tr>
<tr>
- <td style="text-align: center">New{thA,0,F}</td>
+ <td style="text-align: center">ResultDegen{thA,0,F}</td>
<td style="text-align: center">3</td>
<td style="text-align: center"> </td>
<td style="text-align: center">Yes</td>
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