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The following commit(s) were added to refs/heads/asf-site by this push:
     new 04add9f  update documentation for main branch
04add9f is described below

commit 04add9f0c6450560d71eac9904e7b60f32a0386c
Author: GitHub Actions <[email protected]>
AuthorDate: Wed Sep 24 19:18:39 2025 +0000

    update documentation for main branch
---
 404.html                              |  8 ++++++++
 contributors-guide/index.html         | 10 +++++++++-
 datasets-generators/index.html        | 10 +++++++++-
 index.html                            | 10 +++++++++-
 javascripts/katex.js                  | 21 +++++++++++++++++++++
 overview-methodology/index.html       | 10 +++++++++-
 queries/index.html                    | 10 +++++++++-
 search/search_index.json              |  2 +-
 single-node-benchmarks/index.html     | 10 +++++++++-
 spatialbench-distributions/index.html | 32 +++++++++++++++-----------------
 10 files changed, 99 insertions(+), 24 deletions(-)

diff --git a/404.html b/404.html
index 1adadbe..c77ac40 100644
--- a/404.html
+++ b/404.html
@@ -48,6 +48,8 @@
     
       <link rel="stylesheet" href="/stylesheets/extra.css">
     
+      <link rel="stylesheet" 
href="https://cdn.jsdelivr.net/npm/[email protected]/dist/katex.min.css";>
+    
     <script>__md_scope=new 
URL("/",location),__md_hash=e=>[...e].reduce(((e,_)=>(e<<5)-e+_.charCodeAt(0)),0),__md_get=(e,_=localStorage,t=__md_scope)=>JSON.parse(_.getItem(t.pathname+"."+e)),__md_set=(e,_,t=localStorage,a=__md_scope)=>{try{t.setItem(a.pathname+"."+e,JSON.stringify(_))}catch(e){}}</script>
     
       
@@ -1886,6 +1888,12 @@
       
         <script src="/assets/javascripts/main.min.js"></script>
       
+        <script 
src="https://cdn.jsdelivr.net/npm/[email protected]/dist/katex.min.js";></script>
+      
+        <script 
src="https://cdn.jsdelivr.net/npm/[email protected]/dist/contrib/auto-render.min.js";></script>
+      
+        <script src="/javascripts/katex.js"></script>
+      
     
   </body>
 </html>
\ No newline at end of file
diff --git a/contributors-guide/index.html b/contributors-guide/index.html
index 1a673c6..5bfe6ed 100644
--- a/contributors-guide/index.html
+++ b/contributors-guide/index.html
@@ -47,6 +47,8 @@
     
       <link rel="stylesheet" href="../stylesheets/extra.css">
     
+      <link rel="stylesheet" 
href="https://cdn.jsdelivr.net/npm/[email protected]/dist/katex.min.css";>
+    
     <script>__md_scope=new 
URL("..",location),__md_hash=e=>[...e].reduce(((e,_)=>(e<<5)-e+_.charCodeAt(0)),0),__md_get=(e,_=localStorage,t=__md_scope)=>JSON.parse(_.getItem(t.pathname+"."+e)),__md_set=(e,_,t=localStorage,a=__md_scope)=>{try{t.setItem(a.pathname+"."+e,JSON.stringify(_))}catch(e){}}</script>
     
       
@@ -2026,7 +2028,7 @@ under the <code>LICENSE</code> file in the root directory 
of this source tree.</
     <span class="md-icon" title="Last update">
       <svg xmlns="http://www.w3.org/2000/svg"; viewBox="0 0 24 24"><path d="M21 
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git-revision-date-localized-plugin-datetime" title="September 24, 2025 17:43:26 
UTC">September 24, 2025 17:43:26</span>
+    <span class="git-revision-date-localized-plugin 
git-revision-date-localized-plugin-datetime" title="September 24, 2025 19:17:23 
UTC">September 24, 2025 19:17:23</span>
   </span>
 
     
@@ -2154,6 +2156,12 @@ under the <code>LICENSE</code> file in the root 
directory of this source tree.</
       
         <script src="../assets/javascripts/main.min.js"></script>
       
+        <script 
src="https://cdn.jsdelivr.net/npm/[email protected]/dist/katex.min.js";></script>
+      
+        <script 
src="https://cdn.jsdelivr.net/npm/[email protected]/dist/contrib/auto-render.min.js";></script>
+      
+        <script src="../javascripts/katex.js"></script>
+      
     
   
 <script id="init-glightbox">const lightbox = GLightbox({"touchNavigation": 
true, "loop": false, "zoomable": true, "draggable": true, "openEffect": "zoom", 
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diff --git a/datasets-generators/index.html b/datasets-generators/index.html
index 58632ab..fb44597 100644
--- a/datasets-generators/index.html
+++ b/datasets-generators/index.html
@@ -49,6 +49,8 @@
     
       <link rel="stylesheet" href="../stylesheets/extra.css">
     
+      <link rel="stylesheet" 
href="https://cdn.jsdelivr.net/npm/[email protected]/dist/katex.min.css";>
+    
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URL("..",location),__md_hash=e=>[...e].reduce(((e,_)=>(e<<5)-e+_.charCodeAt(0)),0),__md_get=(e,_=localStorage,t=__md_scope)=>JSON.parse(_.getItem(t.pathname+"."+e)),__md_set=(e,_,t=localStorage,a=__md_scope)=>{try{t.setItem(a.pathname+"."+e,JSON.stringify(_))}catch(e){}}</script>
     
       
@@ -2204,7 +2206,7 @@
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git-revision-date-localized-plugin-datetime" title="September 24, 2025 17:43:26 
UTC">September 24, 2025 17:43:26</span>
+    <span class="git-revision-date-localized-plugin 
git-revision-date-localized-plugin-datetime" title="September 24, 2025 19:17:23 
UTC">September 24, 2025 19:17:23</span>
   </span>
 
     
@@ -2348,6 +2350,12 @@
       
         <script src="../assets/javascripts/main.min.js"></script>
       
+        <script 
src="https://cdn.jsdelivr.net/npm/[email protected]/dist/katex.min.js";></script>
+      
+        <script 
src="https://cdn.jsdelivr.net/npm/[email protected]/dist/contrib/auto-render.min.js";></script>
+      
+        <script src="../javascripts/katex.js"></script>
+      
     
   
 <script id="init-glightbox">const lightbox = GLightbox({"touchNavigation": 
true, "loop": false, "zoomable": true, "draggable": true, "openEffect": "zoom", 
"closeEffect": "zoom", "slideEffect": "slide"});
diff --git a/index.html b/index.html
index 6ae6357..8ddc7e9 100644
--- a/index.html
+++ b/index.html
@@ -47,6 +47,8 @@
     
       <link rel="stylesheet" href="stylesheets/extra.css">
     
+      <link rel="stylesheet" 
href="https://cdn.jsdelivr.net/npm/[email protected]/dist/katex.min.css";>
+    
     <script>__md_scope=new 
URL(".",location),__md_hash=e=>[...e].reduce(((e,_)=>(e<<5)-e+_.charCodeAt(0)),0),__md_get=(e,_=localStorage,t=__md_scope)=>JSON.parse(_.getItem(t.pathname+"."+e)),__md_set=(e,_,t=localStorage,a=__md_scope)=>{try{t.setItem(a.pathname+"."+e,JSON.stringify(_))}catch(e){}}</script>
     
       
@@ -2052,7 +2054,7 @@ with a star schema extended with spatial attributes like 
pickup/dropoff points,
     <span class="md-icon" title="Last update">
       <svg xmlns="http://www.w3.org/2000/svg"; viewBox="0 0 24 24"><path d="M21 
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git-revision-date-localized-plugin-datetime" title="September 24, 2025 17:43:26 
UTC">September 24, 2025 17:43:26</span>
+    <span class="git-revision-date-localized-plugin 
git-revision-date-localized-plugin-datetime" title="September 24, 2025 19:17:23 
UTC">September 24, 2025 19:17:23</span>
   </span>
 
     
@@ -2180,6 +2182,12 @@ with a star schema extended with spatial attributes like 
pickup/dropoff points,
       
         <script src="assets/javascripts/main.min.js"></script>
       
+        <script 
src="https://cdn.jsdelivr.net/npm/[email protected]/dist/katex.min.js";></script>
+      
+        <script 
src="https://cdn.jsdelivr.net/npm/[email protected]/dist/contrib/auto-render.min.js";></script>
+      
+        <script src="javascripts/katex.js"></script>
+      
     
   
 <script id="init-glightbox">const lightbox = GLightbox({"touchNavigation": 
true, "loop": false, "zoomable": true, "draggable": true, "openEffect": "zoom", 
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diff --git a/javascripts/katex.js b/javascripts/katex.js
new file mode 100644
index 0000000..5abd19e
--- /dev/null
+++ b/javascripts/katex.js
@@ -0,0 +1,21 @@
+(function () {
+    function renderAll() {
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+                { left: "\\[", right: "\\]", display: true }
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+            throwOnError: false
+        });
+    }
+
+    renderAll();
+
+    // Re-render on SPA page changes (mkdocs-material)
+    if (window.document$) {
+        document$.subscribe(renderAll);
+    }
+})();
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diff --git a/overview-methodology/index.html b/overview-methodology/index.html
index 51e3164..67ef307 100644
--- a/overview-methodology/index.html
+++ b/overview-methodology/index.html
@@ -49,6 +49,8 @@
     
       <link rel="stylesheet" href="../stylesheets/extra.css">
     
+      <link rel="stylesheet" 
href="https://cdn.jsdelivr.net/npm/[email protected]/dist/katex.min.css";>
+    
     <script>__md_scope=new 
URL("..",location),__md_hash=e=>[...e].reduce(((e,_)=>(e<<5)-e+_.charCodeAt(0)),0),__md_get=(e,_=localStorage,t=__md_scope)=>JSON.parse(_.getItem(t.pathname+"."+e)),__md_set=(e,_,t=localStorage,a=__md_scope)=>{try{t.setItem(a.pathname+"."+e,JSON.stringify(_))}catch(e){}}</script>
     
       
@@ -2089,7 +2091,7 @@
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UTC">September 24, 2025 19:17:23</span>
   </span>
 
     
@@ -2233,6 +2235,12 @@
       
         <script src="../assets/javascripts/main.min.js"></script>
       
+        <script 
src="https://cdn.jsdelivr.net/npm/[email protected]/dist/katex.min.js";></script>
+      
+        <script 
src="https://cdn.jsdelivr.net/npm/[email protected]/dist/contrib/auto-render.min.js";></script>
+      
+        <script src="../javascripts/katex.js"></script>
+      
     
   
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diff --git a/queries/index.html b/queries/index.html
index 7132bee..ea95e19 100644
--- a/queries/index.html
+++ b/queries/index.html
@@ -49,6 +49,8 @@
     
       <link rel="stylesheet" href="../stylesheets/extra.css">
     
+      <link rel="stylesheet" 
href="https://cdn.jsdelivr.net/npm/[email protected]/dist/katex.min.css";>
+    
     <script>__md_scope=new 
URL("..",location),__md_hash=e=>[...e].reduce(((e,_)=>(e<<5)-e+_.charCodeAt(0)),0),__md_get=(e,_=localStorage,t=__md_scope)=>JSON.parse(_.getItem(t.pathname+"."+e)),__md_set=(e,_,t=localStorage,a=__md_scope)=>{try{t.setItem(a.pathname+"."+e,JSON.stringify(_))}catch(e){}}</script>
     
       
@@ -2657,7 +2659,7 @@ spatialbench-cli -s 1 --format=parquet --output-dir 
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git-revision-date-localized-plugin-datetime" title="September 24, 2025 17:43:26 
UTC">September 24, 2025 17:43:26</span>
+    <span class="git-revision-date-localized-plugin 
git-revision-date-localized-plugin-datetime" title="September 24, 2025 19:17:23 
UTC">September 24, 2025 19:17:23</span>
   </span>
 
     
@@ -2801,6 +2803,12 @@ spatialbench-cli -s 1 --format=parquet --output-dir 
sf1-parquet
       
         <script src="../assets/javascripts/main.min.js"></script>
       
+        <script 
src="https://cdn.jsdelivr.net/npm/[email protected]/dist/katex.min.js";></script>
+      
+        <script 
src="https://cdn.jsdelivr.net/npm/[email protected]/dist/contrib/auto-render.min.js";></script>
+      
+        <script src="../javascripts/katex.js"></script>
+      
     
   
 <script id="init-glightbox">const lightbox = GLightbox({"touchNavigation": 
true, "loop": false, "zoomable": true, "draggable": true, "openEffect": "zoom", 
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diff --git a/search/search_index.json b/search/search_index.json
index 7f53d50..6a5e4da 100644
--- a/search/search_index.json
+++ b/search/search_index.json
@@ -1 +1 @@
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 is a benchmark for assessing geospatial SQL analytics query performance across 
database systems, making it easy to run tests on a realistic dataset with any 
query engine.</p> <p>The methodology is unbiased, allowing you to run the 
benchmarks in any environment to compare the relative performance between 
runtimes.</p>"},{"location":"#why-spa [...]
\ No newline at end of file
+{"config":{"lang":["en"],"separator":"[\\s\\-]+","pipeline":["stopWordFilter"]},"docs":[{"location":"","title":"SpatialBench","text":"<p>SpatialBench
 is a benchmark for assessing geospatial SQL analytics query performance across 
database systems, making it easy to run tests on a realistic dataset with any 
query engine.</p> <p>The methodology is unbiased, allowing you to run the 
benchmarks in any environment to compare the relative performance between 
runtimes.</p>"},{"location":"#why-spa [...]
\ No newline at end of file
diff --git a/single-node-benchmarks/index.html 
b/single-node-benchmarks/index.html
index bb19411..59570c3 100644
--- a/single-node-benchmarks/index.html
+++ b/single-node-benchmarks/index.html
@@ -49,6 +49,8 @@
     
       <link rel="stylesheet" href="../stylesheets/extra.css">
     
+      <link rel="stylesheet" 
href="https://cdn.jsdelivr.net/npm/[email protected]/dist/katex.min.css";>
+    
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URL("..",location),__md_hash=e=>[...e].reduce(((e,_)=>(e<<5)-e+_.charCodeAt(0)),0),__md_get=(e,_=localStorage,t=__md_scope)=>JSON.parse(_.getItem(t.pathname+"."+e)),__md_set=(e,_,t=localStorage,a=__md_scope)=>{try{t.setItem(a.pathname+"."+e,JSON.stringify(_))}catch(e){}}</script>
     
       
@@ -2387,7 +2389,7 @@ 
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UTC">September 24, 2025 17:43:26</span>
+    <span class="git-revision-date-localized-plugin 
git-revision-date-localized-plugin-datetime" title="September 24, 2025 19:17:23 
UTC">September 24, 2025 19:17:23</span>
   </span>
 
     
@@ -2531,6 +2533,12 @@ 
s3://wherobots-examples/data/spatialbench/SpatialBench_sf10/zone/
       
         <script src="../assets/javascripts/main.min.js"></script>
       
+        <script 
src="https://cdn.jsdelivr.net/npm/[email protected]/dist/katex.min.js";></script>
+      
+        <script 
src="https://cdn.jsdelivr.net/npm/[email protected]/dist/contrib/auto-render.min.js";></script>
+      
+        <script src="../javascripts/katex.js"></script>
+      
     
   
 <script id="init-glightbox">const lightbox = GLightbox({"touchNavigation": 
true, "loop": false, "zoomable": true, "draggable": true, "openEffect": "zoom", 
"closeEffect": "zoom", "slideEffect": "slide"});
diff --git a/spatialbench-distributions/index.html 
b/spatialbench-distributions/index.html
index 1f26c37..64f1178 100644
--- a/spatialbench-distributions/index.html
+++ b/spatialbench-distributions/index.html
@@ -49,6 +49,8 @@
     
       <link rel="stylesheet" href="../stylesheets/extra.css">
     
+      <link rel="stylesheet" 
href="https://cdn.jsdelivr.net/npm/[email protected]/dist/katex.min.css";>
+    
     <script>__md_scope=new 
URL("..",location),__md_hash=e=>[...e].reduce(((e,_)=>(e<<5)-e+_.charCodeAt(0)),0),__md_get=(e,_=localStorage,t=__md_scope)=>JSON.parse(_.getItem(t.pathname+"."+e)),__md_set=(e,_,t=localStorage,a=__md_scope)=>{try{t.setItem(a.pathname+"."+e,JSON.stringify(_))}catch(e){}}</script>
     
       
@@ -2040,29 +2042,19 @@
   under the License.
 --><p>SpatialBench offers a set of spatial distributions to generate synthetic 
datasets with different levels of skew and realism. Each distribution has its 
own mathematical foundation, parameters, and characteristic spatial patterns. 
The choice of distribution directly determines whether your data looks like 
evenly spaced dots on a map, concentrated hotspots, or layered urban 
clusters.</p>
 <h2 id="uniform">Uniform<a class="headerlink" href="#uniform" title="Permanent 
link">¶</a></h2>
-<p>The simplest case: every point is drawn independently from a uniform 
distribution in the unit square [0,1]^2.</p>
-<div class="arithmatex">
-<div class="MathJax_Preview">
-X \sim U(0,1), \quad Y \sim U(0,1)
-</div>
-<script type="math/tex; mode=display">
+<p>The simplest case: every point is drawn independently from a uniform 
distribution in the unit square <span class="arithmatex">\([0,1]^2\)</span>.</p>
+<div class="arithmatex">\[
 X \sim U(0,1), \quad Y \sim U(0,1)
-</script>
-</div>
+\]</div>
 <p>There are no parameters to adjust here. The result is an even, flat 
distribution — useful as a baseline, but one that rarely resembles any 
real-world spatial dataset. If your goal is to test systems without the 
confounding factor of skew, this is the place to start.</p>
 <h2 id="normal">Normal<a class="headerlink" href="#normal" title="Permanent 
link">¶</a></h2>
 <p>The normal distribution introduces clustering. Both coordinates are drawn 
from a Gaussian with configurable mean and standard deviation:</p>
-<div class="arithmatex">
-<div class="MathJax_Preview">
-X, Y \sim \mathcal{N}(\mu, \sigma^2), \quad \text{clamped to } [0,1]
-</div>
-<script type="math/tex; mode=display">
+<div class="arithmatex">\[
 X, Y \sim \mathcal{N}(\mu, \sigma^2), \quad \text{clamped to } [0,1]
-</script>
-</div>
+\]</div>
 <p>Here, <code>mu</code> determines where the hotspot sits in the square, 
while <code>sigma</code> sets the spread - a small <code>sigma</code> produces 
a sharp, dense cluster, while a larger sigma spreads points more thinly across 
space. This is appropriate if you want to mimic a single dense center of 
activity, like one city in an otherwise empty region. The tradeoff is that it’s 
too simplistic for modeling multiple hotspots or urban complexity.</p>
 <h2 id="diagonal">Diagonal<a class="headerlink" href="#diagonal" 
title="Permanent link">¶</a></h2>
-<p>The diagonal distribution forces correlation between x and y. With 
probability percentage, a point is placed exactly on the line y=x. Otherwise, 
it is perturbed by Gaussian noise with width controlled by buffer. The result 
is a band of points hugging the diagonal.</p>
+<p>The diagonal distribution forces correlation between x and y. With 
probability percentage, a point is placed exactly on the line <span 
class="arithmatex">\(y=x\)</span>. Otherwise, it is perturbed by Gaussian noise 
with width controlled by buffer. The result is a band of points hugging the 
diagonal.</p>
 <p>This pattern is not realistic geographically, but it is useful for 
experiments that need a known correlation structure — for example, seeing how 
indexing or filtering behaves when coordinates are not independent.</p>
 <h2 id="bit">Bit<a class="headerlink" href="#bit" title="Permanent 
link">¶</a></h2>
 <p>Bit distributions use recursive binary subdivision of the square. Each bit 
position is toggled with probability <code>probability</code>, and the depth of 
recursion is determined by <code>digits</code>. This produces coordinates that 
fall into a deterministic grid structure, with cells that may or may not be 
occupied depending on the randomness of the bits.</p>
@@ -2130,7 +2122,7 @@ X, Y \sim \mathcal{N}(\mu, \sigma^2), \quad \text{clamped 
to } [0,1]
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UTC">September 24, 2025 17:43:26</span>
+    <span class="git-revision-date-localized-plugin 
git-revision-date-localized-plugin-datetime" title="September 24, 2025 19:17:23 
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@@ -2274,6 +2266,12 @@ X, Y \sim \mathcal{N}(\mu, \sigma^2), \quad 
\text{clamped to } [0,1]
       
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