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commit 43462f998a36d776eb053e3f2cf744844b9f1a14
Author: buildbot <[email protected]>
AuthorDate: Fri Sep 20 21:40:33 2024 +0000
Automatic Site Publish by Buildbot
---
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<li><a href="/docs/Theta/ThetaReferences.html">•Theta
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@@ -223,6 +223,8 @@
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<li><a href="/docs/Theta/ThetaReferences.html">•Theta
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<li><a href="/docs/Theta/ThetaReferences.html">•Theta
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<li><a href="/docs/Theta/ThetaReferences.html">•Theta
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<li><a href="/docs/Theta/ThetaReferences.html">•Theta
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<li><a href="/docs/Theta/ThetaReferences.html">•Theta
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<li><a href="/docs/Theta/ThetaReferences.html">•Theta
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<li><a href="/docs/Theta/ThetaReferences.html">•Theta
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@@ -299,7 +301,9 @@
<li><a href="/docs/Theta/ThetaReferences.html">•Theta
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b/output/docs/HLL/HllMaxSizeAndErrorTable.html
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@@ -223,6 +223,8 @@
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<p id="theta-sketches">
<a data-toggle="collapse" class="menu collapsed"
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@@ -299,7 +301,9 @@
<li><a href="/docs/Theta/ThetaReferences.html">•Theta
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<li><a href="/docs/Theta/ThetaReferences.html">•Theta
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@@ -223,6 +223,8 @@
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<li><a href="/docs/Theta/ThetaReferences.html">•Theta
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index c989b43b..be757608 100644
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@@ -223,6 +223,8 @@
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<li><a href="/docs/Theta/ThetaReferences.html">•Theta
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<li><a href="/docs/Theta/ThetaReferences.html">•Theta
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<li><a href="/docs/Theta/ThetaReferences.html">•Theta
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<li><a href="/docs/Theta/ThetaReferences.html">•Theta
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<li><a href="/docs/Theta/ThetaReferences.html">•Theta
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<li><a href="/docs/Theta/ThetaReferences.html">•Theta
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<li><a href="/docs/Theta/ThetaReferences.html">•Theta
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<li><a href="/docs/Theta/ThetaReferences.html">•Theta
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<li><a href="/docs/Theta/ThetaReferences.html">•Theta
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<li><a href="/docs/Theta/ThetaReferences.html">•Theta
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<li><a href="/docs/Theta/ThetaReferences.html">•Theta
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@@ -299,7 +301,9 @@
<li><a href="/docs/Theta/ThetaReferences.html">•Theta
References</a></li>
</div>
</div>
+
<li><a href="/docs/Tuple/TupleSketches.html">•Tuple Sketches</a></li>
+
</div>
<p id="most-frequent">
diff --git a/output/docs/Theta/ThetaMergeSpeed.html
b/output/docs/Theta/ThetaMergeSpeed.html
index 1943425f..bfd67142 100644
--- a/output/docs/Theta/ThetaMergeSpeed.html
+++ b/output/docs/Theta/ThetaMergeSpeed.html
@@ -223,6 +223,8 @@
</div>
</div>
+ <li><a href="/docs/Theta/ThetaSketches.html">•Theta Sketches</a></li>
+
<p id="theta-sketches">
<a data-toggle="collapse" class="menu collapsed"
href="#collapse_theta_sketches">Theta Sketches</a>
</p>
@@ -299,7 +301,9 @@
<li><a href="/docs/Theta/ThetaReferences.html">•Theta
References</a></li>
</div>
</div>
+
<li><a href="/docs/Tuple/TupleSketches.html">•Tuple Sketches</a></li>
+
</div>
<p id="most-frequent">
diff --git a/output/docs/Theta/ThetaMergingAlgorithm.html
b/output/docs/Theta/ThetaMergingAlgorithm.html
index 3284f15f..ce4d1b14 100644
--- a/output/docs/Theta/ThetaMergingAlgorithm.html
+++ b/output/docs/Theta/ThetaMergingAlgorithm.html
@@ -223,6 +223,8 @@
</div>
</div>
+ <li><a href="/docs/Theta/ThetaSketches.html">•Theta Sketches</a></li>
+
<p id="theta-sketches">
<a data-toggle="collapse" class="menu collapsed"
href="#collapse_theta_sketches">Theta Sketches</a>
</p>
@@ -299,7 +301,9 @@
<li><a href="/docs/Theta/ThetaReferences.html">•Theta
References</a></li>
</div>
</div>
+
<li><a href="/docs/Tuple/TupleSketches.html">•Tuple Sketches</a></li>
+
</div>
<p id="most-frequent">
diff --git a/output/docs/Theta/ThetaPSampling.html
b/output/docs/Theta/ThetaPSampling.html
index 1a802e2d..b7271445 100644
--- a/output/docs/Theta/ThetaPSampling.html
+++ b/output/docs/Theta/ThetaPSampling.html
@@ -223,6 +223,8 @@
</div>
</div>
+ <li><a href="/docs/Theta/ThetaSketches.html">•Theta Sketches</a></li>
+
<p id="theta-sketches">
<a data-toggle="collapse" class="menu collapsed"
href="#collapse_theta_sketches">Theta Sketches</a>
</p>
@@ -299,7 +301,9 @@
<li><a href="/docs/Theta/ThetaReferences.html">•Theta
References</a></li>
</div>
</div>
+
<li><a href="/docs/Tuple/TupleSketches.html">•Tuple Sketches</a></li>
+
</div>
<p id="most-frequent">
diff --git a/output/docs/Theta/ThetaPigUDFs.html
b/output/docs/Theta/ThetaPigUDFs.html
index 33d3c9d2..f4014a32 100644
--- a/output/docs/Theta/ThetaPigUDFs.html
+++ b/output/docs/Theta/ThetaPigUDFs.html
@@ -223,6 +223,8 @@
</div>
</div>
+ <li><a href="/docs/Theta/ThetaSketches.html">•Theta Sketches</a></li>
+
<p id="theta-sketches">
<a data-toggle="collapse" class="menu collapsed"
href="#collapse_theta_sketches">Theta Sketches</a>
</p>
@@ -299,7 +301,9 @@
<li><a href="/docs/Theta/ThetaReferences.html">•Theta
References</a></li>
</div>
</div>
+
<li><a href="/docs/Tuple/TupleSketches.html">•Tuple Sketches</a></li>
+
</div>
<p id="most-frequent">
diff --git a/output/docs/Theta/ThetaReferences.html
b/output/docs/Theta/ThetaReferences.html
index 73a821f4..d9de8843 100644
--- a/output/docs/Theta/ThetaReferences.html
+++ b/output/docs/Theta/ThetaReferences.html
@@ -223,6 +223,8 @@
</div>
</div>
+ <li><a href="/docs/Theta/ThetaSketches.html">•Theta Sketches</a></li>
+
<p id="theta-sketches">
<a data-toggle="collapse" class="menu collapsed"
href="#collapse_theta_sketches">Theta Sketches</a>
</p>
@@ -299,7 +301,9 @@
<li><a href="/docs/Theta/ThetaReferences.html">•Theta
References</a></li>
</div>
</div>
+
<li><a href="/docs/Tuple/TupleSketches.html">•Tuple Sketches</a></li>
+
</div>
<p id="most-frequent">
diff --git a/output/docs/Theta/ThetaSetOpsCornerCases.html
b/output/docs/Theta/ThetaSetOpsCornerCases.html
index 08a19f75..3344140f 100644
--- a/output/docs/Theta/ThetaSetOpsCornerCases.html
+++ b/output/docs/Theta/ThetaSetOpsCornerCases.html
@@ -223,6 +223,8 @@
</div>
</div>
+ <li><a href="/docs/Theta/ThetaSketches.html">•Theta Sketches</a></li>
+
<p id="theta-sketches">
<a data-toggle="collapse" class="menu collapsed"
href="#collapse_theta_sketches">Theta Sketches</a>
</p>
@@ -299,7 +301,9 @@
<li><a href="/docs/Theta/ThetaReferences.html">•Theta
References</a></li>
</div>
</div>
+
<li><a href="/docs/Tuple/TupleSketches.html">•Tuple Sketches</a></li>
+
</div>
<p id="most-frequent">
diff --git a/output/docs/Theta/ThetaSize.html b/output/docs/Theta/ThetaSize.html
index 93ed3572..75af39e3 100644
--- a/output/docs/Theta/ThetaSize.html
+++ b/output/docs/Theta/ThetaSize.html
@@ -223,6 +223,8 @@
</div>
</div>
+ <li><a href="/docs/Theta/ThetaSketches.html">•Theta Sketches</a></li>
+
<p id="theta-sketches">
<a data-toggle="collapse" class="menu collapsed"
href="#collapse_theta_sketches">Theta Sketches</a>
</p>
@@ -299,7 +301,9 @@
<li><a href="/docs/Theta/ThetaReferences.html">•Theta
References</a></li>
</div>
</div>
+
<li><a href="/docs/Tuple/TupleSketches.html">•Tuple Sketches</a></li>
+
</div>
<p id="most-frequent">
diff --git a/output/docs/Theta/ThetaSketchFramework.html
b/output/docs/Theta/ThetaSketchFramework.html
index c739c3e0..11090515 100644
--- a/output/docs/Theta/ThetaSketchFramework.html
+++ b/output/docs/Theta/ThetaSketchFramework.html
@@ -223,6 +223,8 @@
</div>
</div>
+ <li><a href="/docs/Theta/ThetaSketches.html">•Theta Sketches</a></li>
+
<p id="theta-sketches">
<a data-toggle="collapse" class="menu collapsed"
href="#collapse_theta_sketches">Theta Sketches</a>
</p>
@@ -299,7 +301,9 @@
<li><a href="/docs/Theta/ThetaReferences.html">•Theta
References</a></li>
</div>
</div>
+
<li><a href="/docs/Tuple/TupleSketches.html">•Tuple Sketches</a></li>
+
</div>
<p id="most-frequent">
diff --git a/output/docs/Theta/ThetaSketchSetOps.html
b/output/docs/Theta/ThetaSketchSetOps.html
index 31d7aa38..7edd46c4 100644
--- a/output/docs/Theta/ThetaSketchSetOps.html
+++ b/output/docs/Theta/ThetaSketchSetOps.html
@@ -223,6 +223,8 @@
</div>
</div>
+ <li><a href="/docs/Theta/ThetaSketches.html">•Theta Sketches</a></li>
+
<p id="theta-sketches">
<a data-toggle="collapse" class="menu collapsed"
href="#collapse_theta_sketches">Theta Sketches</a>
</p>
@@ -299,7 +301,9 @@
<li><a href="/docs/Theta/ThetaReferences.html">•Theta
References</a></li>
</div>
</div>
+
<li><a href="/docs/Tuple/TupleSketches.html">•Tuple Sketches</a></li>
+
</div>
<p id="most-frequent">
diff --git a/output/docs/Theta/ThetaSketchSetOpsAccuracy.html
b/output/docs/Theta/ThetaSketchSetOpsAccuracy.html
index 18f42371..e6d9925c 100644
--- a/output/docs/Theta/ThetaSketchSetOpsAccuracy.html
+++ b/output/docs/Theta/ThetaSketchSetOpsAccuracy.html
@@ -223,6 +223,8 @@
</div>
</div>
+ <li><a href="/docs/Theta/ThetaSketches.html">•Theta Sketches</a></li>
+
<p id="theta-sketches">
<a data-toggle="collapse" class="menu collapsed"
href="#collapse_theta_sketches">Theta Sketches</a>
</p>
@@ -299,7 +301,9 @@
<li><a href="/docs/Theta/ThetaReferences.html">•Theta
References</a></li>
</div>
</div>
+
<li><a href="/docs/Tuple/TupleSketches.html">•Tuple Sketches</a></li>
+
</div>
<p id="most-frequent">
diff --git a/output/docs/Theta/ThetaSketchFramework.html
b/output/docs/Theta/ThetaSketches.html
similarity index 88%
copy from output/docs/Theta/ThetaSketchFramework.html
copy to output/docs/Theta/ThetaSketches.html
index c739c3e0..47fe7266 100644
--- a/output/docs/Theta/ThetaSketchFramework.html
+++ b/output/docs/Theta/ThetaSketches.html
@@ -223,6 +223,8 @@
</div>
</div>
+ <li><a href="/docs/Theta/ThetaSketches.html">•Theta Sketches</a></li>
+
<p id="theta-sketches">
<a data-toggle="collapse" class="menu collapsed"
href="#collapse_theta_sketches">Theta Sketches</a>
</p>
@@ -299,7 +301,9 @@
<li><a href="/docs/Theta/ThetaReferences.html">•Theta
References</a></li>
</div>
</div>
+
<li><a href="/docs/Tuple/TupleSketches.html">•Tuple Sketches</a></li>
+
</div>
<p id="most-frequent">
@@ -508,6 +512,70 @@
specific language governing permissions and limitations
under the License.
-->
+<h2 id="contents">Contents</h2>
+<!-- TOC -->
+<ul>
+ <li><a href="#theta-sketch-framework">Theta Sketch Framework</a></li>
+ <li>Theta Examples
+ <ul>
+ <li><a
href="https://datasketches.apache.org/docs/Theta/ConcurrentThetaSketch.html";>Concurrent
Theta Sketch</a></li>
+ <li><a
href="https://datasketches.apache.org/docs/Theta/ThetaJavaExample.html";>Theta
Sketch Java Example</a></li>
+ <li><a
href="https://datasketches.apache.org/docs/Theta/ThetaSparkExample.html";>Theta
Sketch Spark Example</a></li>
+ <li><a
href="https://datasketches.apache.org/docs/Theta/ThetaPigUDFs.html";>Theta
Sketch Pig UDFs</a></li>
+ <li><a
href="https://datasketches.apache.org/docs/Theta/ThetaHiveUDFs.html";>Theta
Sketch Hive UDFs</a></li>
+ </ul>
+ </li>
+ <li>KMV Tutorial
+ <ul>
+ <li><a
href="https://datasketches.apache.org/docs/Theta/InverseEstimate.html";>The
Inverse Estimate</a></li>
+ <li><a
href="https://datasketches.apache.org/docs/Theta/KMVempty.html";>Empty
Sketch</a></li>
+ <li><a
href="https://datasketches.apache.org/docs/Theta/KMVfirstEst.html";>First
Estimator</a></li>
+ <li><a
href="https://datasketches.apache.org/docs/Theta/KMVbetterEst.html";>Better
Estimator</a></li>
+ <li><a
href="https://datasketches.apache.org/docs/Theta/KMVrejection.html";>Rejection
Rules</a></li>
+ <li><a
href="https://datasketches.apache.org/docs/Theta/KMVupdateVkth.html";>Update
V(kth) Rule</a></li>
+ </ul>
+ </li>
+ <li>Set Operations and P-sampling
+ <ul>
+ <li><a
href="https://datasketches.apache.org/docs/Theta/ThetaSketchSetOps.html";>Set
Operations</a></li>
+ <li><a
href="https://datasketches.apache.org/docs/Theta/ThetaSetOpsCornerCases.html";>Model
& Test Set Operations</a></li>
+ <li><a
href="https://datasketches.apache.org/docs/Theta/ThetaPSampling.html";>p-Sampling</a></li>
+ </ul>
+ </li>
+ <li>Accuracy
+ <ul>
+ <li><a
href="https://datasketches.apache.org/docs/Theta/ThetaAccuracy.html";>Basic
Accuracy</a></li>
+ <li><a
href="https://datasketches.apache.org/docs/Theta/ThetaAccuracyPlots.html";>Accuracy
Plots</a></li>
+ <li><a
href="https://datasketches.apache.org/docs/Theta/ThetaErrorTable.html";>Relative
Error Table</a></li>
+ <li><a
href="https://datasketches.apache.org/docs/Theta/ThetaSketchSetOpsAccuracy.html";>SetOp
Accuracy</a></li>
+ <li><a
href="https://datasketches.apache.org/docs/Theta/AccuracyOfDifferentKUnions.html";>Unions
With Different k</a></li>
+ </ul>
+ </li>
+ <li>Size
+ <ul>
+ <li><a
href="https://datasketches.apache.org/docs/Theta/ThetaSize.html";>Theta Sketch
Size</a></li>
+ </ul>
+ </li>
+ <li>Speed
+ <ul>
+ <li><a
href="https://datasketches.apache.org/docs/Theta/ThetaUpdateSpeed.html";>Update
Speed</a></li>
+ <li><a
href="https://datasketches.apache.org/docs/Theta/ThetaMergeSpeed.html";>Merge
Speed</a></li>
+ </ul>
+ </li>
+ <li>Theta Sketch Theory
+ <ul>
+ <li><a
href="https://github.com/apache/datasketches-website/tree/master/docs/pdf/ThetaSketchFramework.pdf";>Theta
Sketch Framework (PDF)</a></li>
+ <li><a
href="https://github.com/apache/datasketches-website/tree/master/docs/pdf/ThetaSketchEquations.pdf";>Theta
Sketch Equations (PDF)</a></li>
+ <li><a
href="https://github.com/apache/datasketches-website/tree/master/docs/pdf/DataSketches.pdf";>Data
Sketches (PDF)</a></li>
+ <li><a
href="https://datasketches.apache.org/docs/Theta/ThetaConfidenceIntervals.html";>Confidence
Intervals; Notes</a></li>
+ <li><a
href="https://datasketches.apache.org/docs/Theta/ThetaMergingAlgorithm.html";>Merging
Algorithm; Notes</a></li>
+ <li><a
href="https://datasketches.apache.org/docs/Theta/ThetaReferences.html";>Theta
References</a>
+<!-- TOC --></li>
+ </ul>
+ </li>
+</ul>
+
+<p><a id="theta-sketch-framework"></a></p>
<h2 id="theta-sketch-framework">Theta Sketch Framework</h2>
<p>Theta Sketches are a generalization of the well known <i>K<sup>th</sup>
Minimum Value</i> (KMV)<sup>1,2</sup>
sketches in that KMV sketches are a form of Theta Sketch, but not all Theta
Sketches are KMV.</p>
@@ -561,7 +629,7 @@ which is used by the software to determine the target
accuracy of the sketch and
<p>The unbiased estimate simplifies to |S|/<i>θ</i>, which is just the size of
<i>S</i> divided by <i>θ</i>.
We will discuss the RSE in a later section.</p>
-<p><img class="doc-img-full" src="/docs/img/theta/ThetaSketch1.png"
alt="ThetaSketch1" /></p>
+<p><img class="doc-img-full"
src="https://datasketches.apache.org/docs/img/theta/ThetaSketch1.png";
alt="ThetaSketch1" /></p>
<p>[1] Z. Bar-Yossef, T. Jayram, R. Kumar, D. Sivakumar, and L. Trevisan.
Counting distinct elements in a data stream. In <i>Randomization and
Approximation Techniques in Computer Science</i>, pages 1–10. Springer,
2002.</p>
diff --git a/output/docs/Theta/ThetaSparkExample.html
b/output/docs/Theta/ThetaSparkExample.html
index c0d09674..6c15ae46 100644
--- a/output/docs/Theta/ThetaSparkExample.html
+++ b/output/docs/Theta/ThetaSparkExample.html
@@ -223,6 +223,8 @@
</div>
</div>
+ <li><a href="/docs/Theta/ThetaSketches.html">•Theta Sketches</a></li>
+
<p id="theta-sketches">
<a data-toggle="collapse" class="menu collapsed"
href="#collapse_theta_sketches">Theta Sketches</a>
</p>
@@ -299,7 +301,9 @@
<li><a href="/docs/Theta/ThetaReferences.html">•Theta
References</a></li>
</div>
</div>
+
<li><a href="/docs/Tuple/TupleSketches.html">•Tuple Sketches</a></li>
+
</div>
<p id="most-frequent">
diff --git a/output/docs/Theta/ThetaUpdateSpeed.html
b/output/docs/Theta/ThetaUpdateSpeed.html
index afbe8efa..b03a7e6b 100644
--- a/output/docs/Theta/ThetaUpdateSpeed.html
+++ b/output/docs/Theta/ThetaUpdateSpeed.html
@@ -223,6 +223,8 @@
</div>
</div>
+ <li><a href="/docs/Theta/ThetaSketches.html">•Theta Sketches</a></li>
+
<p id="theta-sketches">
<a data-toggle="collapse" class="menu collapsed"
href="#collapse_theta_sketches">Theta Sketches</a>
</p>
@@ -299,7 +301,9 @@
<li><a href="/docs/Theta/ThetaReferences.html">•Theta
References</a></li>
</div>
</div>
+
<li><a href="/docs/Tuple/TupleSketches.html">•Tuple Sketches</a></li>
+
</div>
<p id="most-frequent">
diff --git a/output/docs/Tuple/TupleEngagementExample.html
b/output/docs/Tuple/TupleEngagementExample.html
index bc768a14..d3d4e50d 100644
--- a/output/docs/Tuple/TupleEngagementExample.html
+++ b/output/docs/Tuple/TupleEngagementExample.html
@@ -223,6 +223,8 @@
</div>
</div>
+ <li><a href="/docs/Theta/ThetaSketches.html">•Theta Sketches</a></li>
+
<p id="theta-sketches">
<a data-toggle="collapse" class="menu collapsed"
href="#collapse_theta_sketches">Theta Sketches</a>
</p>
@@ -299,7 +301,9 @@
<li><a href="/docs/Theta/ThetaReferences.html">•Theta
References</a></li>
</div>
</div>
+
<li><a href="/docs/Tuple/TupleSketches.html">•Tuple Sketches</a></li>
+
</div>
<p id="most-frequent">
diff --git a/output/docs/Tuple/TupleHiveUDFs.html
b/output/docs/Tuple/TupleHiveUDFs.html
index 33d48bc9..04a8d148 100644
--- a/output/docs/Tuple/TupleHiveUDFs.html
+++ b/output/docs/Tuple/TupleHiveUDFs.html
@@ -223,6 +223,8 @@
</div>
</div>
+ <li><a href="/docs/Theta/ThetaSketches.html">•Theta Sketches</a></li>
+
<p id="theta-sketches">
<a data-toggle="collapse" class="menu collapsed"
href="#collapse_theta_sketches">Theta Sketches</a>
</p>
@@ -299,7 +301,9 @@
<li><a href="/docs/Theta/ThetaReferences.html">•Theta
References</a></li>
</div>
</div>
+
<li><a href="/docs/Tuple/TupleSketches.html">•Tuple Sketches</a></li>
+
</div>
<p id="most-frequent">
diff --git a/output/docs/Tuple/TupleJavaExample.html
b/output/docs/Tuple/TupleJavaExample.html
index 5ffc47d2..5d5732dc 100644
--- a/output/docs/Tuple/TupleJavaExample.html
+++ b/output/docs/Tuple/TupleJavaExample.html
@@ -223,6 +223,8 @@
</div>
</div>
+ <li><a href="/docs/Theta/ThetaSketches.html">•Theta Sketches</a></li>
+
<p id="theta-sketches">
<a data-toggle="collapse" class="menu collapsed"
href="#collapse_theta_sketches">Theta Sketches</a>
</p>
@@ -299,7 +301,9 @@
<li><a href="/docs/Theta/ThetaReferences.html">•Theta
References</a></li>
</div>
</div>
+
<li><a href="/docs/Tuple/TupleSketches.html">•Tuple Sketches</a></li>
+
</div>
<p id="most-frequent">
diff --git a/output/docs/Tuple/TupleOverview.html
b/output/docs/Tuple/TupleOverview.html
index fba486f4..bb9fb731 100644
--- a/output/docs/Tuple/TupleOverview.html
+++ b/output/docs/Tuple/TupleOverview.html
@@ -223,6 +223,8 @@
</div>
</div>
+ <li><a href="/docs/Theta/ThetaSketches.html">•Theta Sketches</a></li>
+
<p id="theta-sketches">
<a data-toggle="collapse" class="menu collapsed"
href="#collapse_theta_sketches">Theta Sketches</a>
</p>
@@ -299,7 +301,9 @@
<li><a href="/docs/Theta/ThetaReferences.html">•Theta
References</a></li>
</div>
</div>
+
<li><a href="/docs/Tuple/TupleSketches.html">•Tuple Sketches</a></li>
+
</div>
<p id="most-frequent">
diff --git a/output/docs/Tuple/TuplePigUDFs.html
b/output/docs/Tuple/TuplePigUDFs.html
index 76ee951c..3aced8f3 100644
--- a/output/docs/Tuple/TuplePigUDFs.html
+++ b/output/docs/Tuple/TuplePigUDFs.html
@@ -223,6 +223,8 @@
</div>
</div>
+ <li><a href="/docs/Theta/ThetaSketches.html">•Theta Sketches</a></li>
+
<p id="theta-sketches">
<a data-toggle="collapse" class="menu collapsed"
href="#collapse_theta_sketches">Theta Sketches</a>
</p>
@@ -299,7 +301,9 @@
<li><a href="/docs/Theta/ThetaReferences.html">•Theta
References</a></li>
</div>
</div>
+
<li><a href="/docs/Tuple/TupleSketches.html">•Tuple Sketches</a></li>
+
</div>
<p id="most-frequent">
diff --git a/output/docs/Tuple/TupleSketches.html
b/output/docs/Tuple/TupleSketches.html
index fba486f4..7d0de849 100644
--- a/output/docs/Tuple/TupleSketches.html
+++ b/output/docs/Tuple/TupleSketches.html
@@ -223,6 +223,8 @@
</div>
</div>
+ <li><a href="/docs/Theta/ThetaSketches.html">•Theta Sketches</a></li>
+
<p id="theta-sketches">
<a data-toggle="collapse" class="menu collapsed"
href="#collapse_theta_sketches">Theta Sketches</a>
</p>
@@ -299,7 +301,9 @@
<li><a href="/docs/Theta/ThetaReferences.html">•Theta
References</a></li>
</div>
</div>
+
<li><a href="/docs/Tuple/TupleSketches.html">•Tuple Sketches</a></li>
+
</div>
<p id="most-frequent">
@@ -508,6 +512,15 @@
specific language governing permissions and limitations
under the License.
-->
+<h2 id="contents">Contents</h2>
+<!-- TOC -->
+<ul>
+ <li><a href="#tuple-sketch-overview">Tuple Sketch Overview</a></li>
+ <li><a href="#tuple-sketch-examples">Tuple Sketch Examples</a>
+<!-- TOC --></li>
+</ul>
+
+<p><a id="tuple-sketch-overview"></a></p>
<h2 id="tuple-sketch-overview">Tuple Sketch Overview</h2>
<p>Tuple Sketches are extensions of the Theta Sketch, which can be represented
internally as an array of hash values (of unique identifiers) and a value,
theta, which represents the effective sampling rate determined by the
sketch.</p>
@@ -530,6 +543,7 @@
<p><img class="doc-img-half" src="/docs/img/tuple/TupleJoins.png"
alt="TupleJoins" /></p>
+<p><a id="tuple-sketch-examples"></a></p>
<h2 id="tuple-sketch-examples">Tuple Sketch Examples</h2>
<ul>
diff --git a/output/docs/img/tuple/TupleStartsWithTheta.png
b/output/docs/img/tuple/TupleStartsWithTheta.png
index e3989f45..7904206d 100644
Binary files a/output/docs/img/tuple/TupleStartsWithTheta.png and
b/output/docs/img/tuple/TupleStartsWithTheta.png differ
diff --git a/output/docs/img/tuple/TupleWithAttributes.png
b/output/docs/img/tuple/TupleWithAttributes.png
index 392dc4fa..21d04c5d 100644
Binary files a/output/docs/img/tuple/TupleWithAttributes.png and
b/output/docs/img/tuple/TupleWithAttributes.png differ
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