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Posted to commits@lucene.apache.org by ct...@apache.org on 2021/01/28 16:33:32 UTC
svn commit: r1070647 [16/35] - in
/websites/production/lucene/content/solr/guide/8_8: ./
images/math-expressions/ meta-docs/
Added: websites/production/lucene/content/solr/guide/8_8/math-start.html
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--- websites/production/lucene/content/solr/guide/8_8/math-start.html (added)
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@@ -0,0 +1,1834 @@
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+<title>Getting Started | Apache Solr Reference Guide 8.8</title>
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+<!-- JQuery - we can't use slim because navgoco relies on ajax -->
+<script src="https://code.jquery.com/jquery-3.5.1.min.js" integrity="sha384-ZvpUoO/+PpLXR1lu4jmpXWu80pZlYUAfxl5NsBMWOEPSjUn/6Z/hRTt8+pR6L4N2" crossorigin="anonymous"></script>
+
+<!-- Scrollbar Custom CSS -->
+<link rel="stylesheet" href="https://cdnjs.cloudflare.com/ajax/libs/malihu-custom-scrollbar-plugin/3.1.5/jquery.mCustomScrollbar.min.css" crossorigin="anonymous">
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+ easing: 'swing'
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+ $("#collapseAll").click(function(e) {
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+ <div class="sidebarTitle text-center">Apache Solr Reference Guide</div>
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+ </ul>
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+
+ <li class="sb-level2">
+ <a href="core-specific-tools.html">Core-Specific Tools</a>
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+ <ul>
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+ <li class="sb-level3">
+ <a href="ping.html">Ping</a>
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+ <li class="sb-level3">
+ <a href="plugins-stats-screen.html">Plugins & Stats Screen</a>
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+ <li class="sb-level3">
+ <a href="replication-screen.html">Replication Screen</a>
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+ <li class="sb-level3">
+ <a href="segments-info.html">Segments Info</a>
+
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+ </ul>
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+ </li>
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+ </ul>
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+ </li>
+
+ <li class="sb-level1">
+ <a href="documents-fields-and-schema-design.html">Documents, Fields, and Schema Design</a>
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+ <ul>
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+ <li class="sb-level2">
+ <a href="overview-of-documents-fields-and-schema-design.html">Overview of Documents, Fields, and Schema Design</a>
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+ </li>
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+ <li class="sb-level2">
+ <a href="solr-field-types.html">Solr Field Types</a>
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+ <ul>
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+ <li class="sb-level3">
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+ <a href="field-types-included-with-solr.html">Field Types Included with Solr</a>
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+ <li class="sb-level3">
+ <a href="working-with-currencies-and-exchange-rates.html">Working with Currencies and Exchange Rates</a>
+
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+ <a href="working-with-dates.html">Working with Dates</a>
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+ <li class="sb-level3">
+ <a href="working-with-enum-fields.html">Working with Enum Fields</a>
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+ </li>
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+ <li class="sb-level3">
+ <a href="working-with-external-files-and-processes.html">Working with External Files and Processes</a>
+
+ </li>
+
+ <li class="sb-level3">
+ <a href="field-properties-by-use-case.html">Field Properties by Use Case</a>
+
+ </li>
+
+ </ul>
+
+ </li>
+
+ <li class="sb-level2">
+ <a href="defining-fields.html">Defining Fields</a>
+
+ </li>
+
+ <li class="sb-level2">
+ <a href="copying-fields.html">Copying Fields</a>
+
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+ <li class="sb-level2">
+ <a href="dynamic-fields.html">Dynamic Fields</a>
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+ <li class="sb-level2">
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+ <li class="sb-level2">
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+ <li class="sb-level2">
+ <a href="putting-the-pieces-together.html">Putting the Pieces Together</a>
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+ <li class="sb-level2">
+ <a href="docvalues.html">DocValues</a>
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+ <li class="sb-level2">
+ <a href="schemaless-mode.html">Schemaless Mode</a>
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+ <li class="sb-level2">
+ <a href="luke-request-handler.html">Luke Request Handler</a>
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+ </li>
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+ </ul>
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+ </li>
+
+ <li class="sb-level1">
+ <a href="understanding-analyzers-tokenizers-and-filters.html">Understanding Analyzers, Tokenizers, and Filters</a>
+
+ <ul>
+
+ <li class="sb-level2">
+ <a href="analyzers.html">Analyzers</a>
+
+ </li>
+
+ <li class="sb-level2">
+ <a href="about-tokenizers.html">About Tokenizers</a>
+
+ </li>
+
+ <li class="sb-level2">
+ <a href="about-filters.html">About Filters</a>
+
+ </li>
+
+ <li class="sb-level2">
+ <a href="tokenizers.html">Tokenizers</a>
+
+ </li>
+
+ <li class="sb-level2">
+ <a href="filter-descriptions.html">Filter Descriptions</a>
+
+ </li>
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+ <li class="sb-level2">
+ <a href="charfilterfactories.html">CharFilterFactories</a>
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+ </li>
+
+ <li class="sb-level2">
+ <a href="language-analysis.html">Language Analysis</a>
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+ <li class="sb-level2">
+ <a href="phonetic-matching.html">Phonetic Matching</a>
+
+ </li>
+
+ <li class="sb-level2">
+ <a href="running-your-analyzer.html">Running Your Analyzer</a>
+
+ </li>
+
+ </ul>
+
+ </li>
+
+ <li class="sb-level1">
+ <a href="indexing-and-basic-data-operations.html">Indexing and Basic Data Operations</a>
+
+ <ul>
+
+ <li class="sb-level2">
+ <a href="introduction-to-solr-indexing.html">Introduction to Solr Indexing</a>
+
+ </li>
+
+ <li class="sb-level2">
+ <a href="post-tool.html">Post Tool</a>
+
+ </li>
+
+ <li class="sb-level2">
+ <a href="uploading-data-with-index-handlers.html">Uploading Data with Index Handlers</a>
+
+ <ul>
+
+ <li class="sb-level3">
+ <a href="transforming-and-indexing-custom-json.html">Transforming and Indexing Custom JSON</a>
+
+ </li>
+
+ </ul>
+
+ </li>
+
+ <li class="sb-level2">
+ <a href="indexing-nested-documents.html">Indexing Nested Child Documents</a>
+
+ </li>
+
+ <li class="sb-level2">
+ <a href="uploading-data-with-solr-cell-using-apache-tika.html">Uploading Data with Solr Cell using Apache Tika</a>
+
+ </li>
+
+ <li class="sb-level2">
+ <a href="uploading-structured-data-store-data-with-the-data-import-handler.html">Uploading Structured Data Store Data with the Data Import Handler</a>
+
+ </li>
+
+ <li class="sb-level2">
+ <a href="updating-parts-of-documents.html">Updating Parts of Documents</a>
+
+ </li>
+
+ <li class="sb-level2">
+ <a href="detecting-languages-during-indexing.html">Detecting Languages During Indexing</a>
+
+ </li>
+
+ <li class="sb-level2">
+ <a href="de-duplication.html">De-Duplication</a>
+
+ </li>
+
+ <li class="sb-level2">
+ <a href="content-streams.html">Content Streams</a>
+
+ </li>
+
+ <li class="sb-level2">
+ <a href="reindexing.html">Reindexing</a>
+
+ </li>
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+ </ul>
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+ </li>
+
+ <li class="sb-level1">
+ <a href="searching.html">Searching</a>
+
+ <ul>
+
+ <li class="sb-level2">
+ <a href="overview-of-searching-in-solr.html">Overview of Searching in Solr</a>
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+
+ <li class="sb-level2">
+ <a href="velocity-search-ui.html">Velocity Search UI</a>
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+ <li class="sb-level2">
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+ <li class="sb-level2">
+ <a href="query-syntax-and-parsing.html">Query Syntax and Parsing</a>
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+ <li class="sb-level3">
+ <a href="common-query-parameters.html">Common Query Parameters</a>
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+ <li class="sb-level3">
+ <a href="the-standard-query-parser.html">The Standard Query Parser</a>
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+ </li>
+
+ <li class="sb-level3">
+ <a href="the-dismax-query-parser.html">The DisMax Query Parser</a>
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+ </li>
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+ <li class="sb-level3">
+ <a href="the-extended-dismax-query-parser.html">The Extended DisMax (eDismax) Query Parser</a>
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+ <li class="sb-level3">
+ <a href="function-queries.html">Function Queries</a>
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+ </li>
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+ <li class="sb-level3">
+ <a href="local-parameters-in-queries.html">Local Parameters in Queries</a>
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+ </li>
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+ <li class="sb-level3">
+ <a href="other-parsers.html">Other Parsers</a>
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+ </ul>
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+
+ <li class="sb-level2">
+ <a href="json-request-api.html">JSON Request API</a>
+
+ <ul>
+
+ <li class="sb-level3">
+ <a href="json-query-dsl.html">JSON Query DSL</a>
+
+ </li>
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+ </ul>
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+ </li>
+
+ <li class="sb-level2">
+ <a href="json-facet-api.html">JSON Facet API</a>
+
+ <ul>
+
+ <li class="sb-level3">
+ <a href="json-faceting-domain-changes.html">JSON Faceting Domain Changes</a>
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+ </li>
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+
+ <li class="sb-level2">
+ <a href="faceting.html">Faceting</a>
+
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+
+ <li class="sb-level3">
+ <a href="blockjoin-faceting.html">BlockJoin Faceting</a>
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+ <li class="sb-level2">
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+ <li class="sb-level2">
+ <a href="spell-checking.html">Spell Checking</a>
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+ </li>
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+ <li class="sb-level2">
+ <a href="query-re-ranking.html">Query Re-Ranking</a>
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+ <ul>
+
+ <li class="sb-level3">
+ <a href="learning-to-rank.html">Learning To Rank</a>
+
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+ </ul>
+
+ </li>
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+ <li class="sb-level2">
+ <a href="transforming-result-documents.html">Transforming Result Documents</a>
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+ <li class="sb-level2">
+ <a href="searching-nested-documents.html">Searching Nested Child Documents</a>
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+ <li class="sb-level2">
+ <a href="suggester.html">Suggester</a>
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+ <li class="sb-level2">
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+ <li class="sb-level2">
+ <a href="pagination-of-results.html">Pagination of Results</a>
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+
+ <li class="sb-level2">
+ <a href="collapse-and-expand-results.html">Collapse and Expand Results</a>
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+ <li class="sb-level2">
+ <a href="result-grouping.html">Result Grouping</a>
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+
+ <li class="sb-level2">
+ <a href="spatial-search.html">Spatial Search</a>
+
+ </li>
+
+ <li class="sb-level2">
+ <a href="the-terms-component.html">The Terms Component</a>
+
+ </li>
+
+ <li class="sb-level2">
+ <a href="the-term-vector-component.html">The Term Vector Component</a>
+
+ </li>
+
+ <li class="sb-level2">
+ <a href="the-stats-component.html">The Stats Component</a>
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+ <li class="sb-level2">
+ <a href="the-query-elevation-component.html">The Query Elevation Component</a>
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+ <ul class="sectlevel1">
+<li><a href="#language">Language</a></li>
+<li><a href="#execution">Execution</a>
+<ul class="sectlevel2">
+<li><a href="#admin-ui-stream-panel">Admin UI Stream Panel</a></li>
+<li><a href="#curl-example">Curl Example</a></li>
+</ul>
+</li>
+<li><a href="#visualization">Visualization</a>
+<ul class="sectlevel2">
+<li><a href="#zeppelin-solr-interpreter">Zeppelin-Solr Interpreter</a></li>
+<li><a href="#zplot">zplot</a></li>
+</ul>
+</li>
+</ul>
+ </nav>
+
+
+ <section class="content">
+ <section class="sect1"><h2 id="language">Language</h2><p><strong>Streaming expressions</strong> and <strong>math expressions</strong> are function languages that run
+inside SolrCloud. The languages consist of functions
+that are designed to be <strong>composed</strong> to form programming logic.</p>
+<p><strong>Streaming expressions</strong> are functions that return streams of tuples. Streaming expression functions can be composed to form a transformation pipeline.
+The pipeline starts with a <strong>stream source</strong>, such as <code>search</code>, which initiates a stream of tuples.
+One or more <strong>stream decorators</strong>, such as <code>select</code>, wraps the stream source and transforms the stream of tuples.</p>
+<p><strong>Math expressions</strong> are functions that operate over and return primitives and in-memory
+arrays and matrices. The core use case for math expressions is performing mathematical operations and
+visualization.</p>
+<p>Streaming expressions and math expressions can be combined to <strong>search,
+sample, aggregate, transform, analyze</strong> and <strong>visualize</strong> data in SolrCloud collections.</p></section>
+<section class="sect1"><h2 id="execution">Execution</h2><p>Solr’s <code>/stream</code> request handler executes streaming expressions and math expressions.
+This handler compiles the expression, runs the expression logic
+and returns a JSON result.</p>
+<section class="sect2"><h3 id="admin-ui-stream-panel">Admin UI Stream Panel</h3><p>The easiest way to run streaming expressions and math expressions is through
+the <strong>stream</strong> panel on the Solr Admin UI.</p>
+<p>A sample <code>search</code> streaming expression is shown in the screenshot below:</p>
+<div class="imageblock"><img src="images/math-expressions/search.png" alt="search"></div>
+<p>A sample <code>add</code> math expression is shown in the screenshot below:</p>
+<div class="imageblock"><img src="images/math-expressions/add.png" alt="add"></div></section>
+<section class="sect2"><h3 id="curl-example">Curl Example</h3><p>The HTTP interface to the <code>/stream</code> handler can be used to
+send a streaming expression request and retrieve the response.</p>
+<p>Curl is a useful tool for running streaming expressions when the result
+needs to be spooled to disk or is too large for the Solr admin stream panel. Below
+is an example of a curl command to the <code>/stream</code> handler.</p>
+<div class="listingblock"><pre class="rouge highlight"><code class="language-bash" data-lang="bash"><pre class="highlight"><code>curl --data-urlencode <span style="color: #d14">'expr=search(enron_emails,
+ q="from:1800flowers*",
+ fl="from, to",
+ sort="from asc")'</span> http://localhost:8983/solr/enron_emails/stream
+</code></pre></code></pre></div>
+<p>The JSON response from the stream handler for this request is shown below:</p>
+<div class="listingblock"><pre class="rouge highlight"><code class="language-json" data-lang="json"><pre class="highlight"><code><span style="background-color: #f8f8f8">{</span><span style="color: #000080">"result-set"</span><span style="background-color: #f8f8f8">:{</span><span style="color: #000080">"docs"</span><span style="background-color: #f8f8f8">:[</span><span style="color: #bbbbbb">
+ </span><span style="background-color: #f8f8f8">{</span><span style="color: #000080">"from"</span><span style="background-color: #f8f8f8">:</span><span style="color: #d14">"1800flowers.133139412@s2u2.com"</span><span style="background-color: #f8f8f8">,</span><span style="color: #000080">"to"</span><span style="background-color: #f8f8f8">:</span><span style="color: #d14">"lcampbel@enron.com"</span><span style="background-color: #f8f8f8">},</span><span style="color: #bbbbbb">
+ </span><span style="background-color: #f8f8f8">{</span><span style="color: #000080">"from"</span><span style="background-color: #f8f8f8">:</span><span style="color: #d14">"1800flowers.93690065@s2u2.com"</span><span style="background-color: #f8f8f8">,</span><span style="color: #000080">"to"</span><span style="background-color: #f8f8f8">:</span><span style="color: #d14">"jtholt@ect.enron.com"</span><span style="background-color: #f8f8f8">},</span><span style="color: #bbbbbb">
+ </span><span style="background-color: #f8f8f8">{</span><span style="color: #000080">"from"</span><span style="background-color: #f8f8f8">:</span><span style="color: #d14">"1800flowers.96749439@s2u2.com"</span><span style="background-color: #f8f8f8">,</span><span style="color: #000080">"to"</span><span style="background-color: #f8f8f8">:</span><span style="color: #d14">"alewis@enron.com"</span><span style="background-color: #f8f8f8">},</span><span style="color: #bbbbbb">
+ </span><span style="background-color: #f8f8f8">{</span><span style="color: #000080">"from"</span><span style="background-color: #f8f8f8">:</span><span style="color: #d14">"1800flowers@1800flowers.flonetwork.com"</span><span style="background-color: #f8f8f8">,</span><span style="color: #000080">"to"</span><span style="background-color: #f8f8f8">:</span><span style="color: #d14">"lcampbel@enron.com"</span><span style="background-color: #f8f8f8">},</span><span style="color: #bbbbbb">
+ </span><span style="background-color: #f8f8f8">{</span><span style="color: #000080">"from"</span><span style="background-color: #f8f8f8">:</span><span style="color: #d14">"1800flowers@1800flowers.flonetwork.com"</span><span style="background-color: #f8f8f8">,</span><span style="color: #000080">"to"</span><span style="background-color: #f8f8f8">:</span><span style="color: #d14">"lcampbel@enron.com"</span><span style="background-color: #f8f8f8">},</span><span style="color: #bbbbbb">
+ </span><span style="background-color: #f8f8f8">{</span><span style="color: #000080">"from"</span><span style="background-color: #f8f8f8">:</span><span style="color: #d14">"1800flowers@1800flowers.flonetwork.com"</span><span style="background-color: #f8f8f8">,</span><span style="color: #000080">"to"</span><span style="background-color: #f8f8f8">:</span><span style="color: #d14">"lcampbel@enron.com"</span><span style="background-color: #f8f8f8">},</span><span style="color: #bbbbbb">
+ </span><span style="background-color: #f8f8f8">{</span><span style="color: #000080">"from"</span><span style="background-color: #f8f8f8">:</span><span style="color: #d14">"1800flowers@1800flowers.flonetwork.com"</span><span style="background-color: #f8f8f8">,</span><span style="color: #000080">"to"</span><span style="background-color: #f8f8f8">:</span><span style="color: #d14">"lcampbel@enron.com"</span><span style="background-color: #f8f8f8">},</span><span style="color: #bbbbbb">
+ </span><span style="background-color: #f8f8f8">{</span><span style="color: #000080">"from"</span><span style="background-color: #f8f8f8">:</span><span style="color: #d14">"1800flowers@1800flowers.flonetwork.com"</span><span style="background-color: #f8f8f8">,</span><span style="color: #000080">"to"</span><span style="background-color: #f8f8f8">:</span><span style="color: #d14">"lcampbel@enron.com"</span><span style="background-color: #f8f8f8">},</span><span style="color: #bbbbbb">
+ </span><span style="background-color: #f8f8f8">{</span><span style="color: #000080">"from"</span><span style="background-color: #f8f8f8">:</span><span style="color: #d14">"1800flowers@shop2u.com"</span><span style="background-color: #f8f8f8">,</span><span style="color: #000080">"to"</span><span style="background-color: #f8f8f8">:</span><span style="color: #d14">"ebass@enron.com"</span><span style="background-color: #f8f8f8">},</span><span style="color: #bbbbbb">
+ </span><span style="background-color: #f8f8f8">{</span><span style="color: #000080">"from"</span><span style="background-color: #f8f8f8">:</span><span style="color: #d14">"1800flowers@shop2u.com"</span><span style="background-color: #f8f8f8">,</span><span style="color: #000080">"to"</span><span style="background-color: #f8f8f8">:</span><span style="color: #d14">"lcampbel@enron.com"</span><span style="background-color: #f8f8f8">},</span><span style="color: #bbbbbb">
+ </span><span style="background-color: #f8f8f8">{</span><span style="color: #000080">"from"</span><span style="background-color: #f8f8f8">:</span><span style="color: #d14">"1800flowers@shop2u.com"</span><span style="background-color: #f8f8f8">,</span><span style="color: #000080">"to"</span><span style="background-color: #f8f8f8">:</span><span style="color: #d14">"lcampbel@enron.com"</span><span style="background-color: #f8f8f8">},</span><span style="color: #bbbbbb">
+ </span><span style="background-color: #f8f8f8">{</span><span style="color: #000080">"from"</span><span style="background-color: #f8f8f8">:</span><span style="color: #d14">"1800flowers@shop2u.com"</span><span style="background-color: #f8f8f8">,</span><span style="color: #000080">"to"</span><span style="background-color: #f8f8f8">:</span><span style="color: #d14">"lcampbel@enron.com"</span><span style="background-color: #f8f8f8">},</span><span style="color: #bbbbbb">
+ </span><span style="background-color: #f8f8f8">{</span><span style="color: #000080">"from"</span><span style="background-color: #f8f8f8">:</span><span style="color: #d14">"1800flowers@shop2u.com"</span><span style="background-color: #f8f8f8">,</span><span style="color: #000080">"to"</span><span style="background-color: #f8f8f8">:</span><span style="color: #d14">"ebass@enron.com"</span><span style="background-color: #f8f8f8">},</span><span style="color: #bbbbbb">
+ </span><span style="background-color: #f8f8f8">{</span><span style="color: #000080">"from"</span><span style="background-color: #f8f8f8">:</span><span style="color: #d14">"1800flowers@shop2u.com"</span><span style="background-color: #f8f8f8">,</span><span style="color: #000080">"to"</span><span style="background-color: #f8f8f8">:</span><span style="color: #d14">"ebass@enron.com"</span><span style="background-color: #f8f8f8">},</span><span style="color: #bbbbbb">
+ </span><span style="background-color: #f8f8f8">{</span><span style="color: #000080">"EOF"</span><span style="background-color: #f8f8f8">:</span><span style="color: #000000;font-weight: bold">true</span><span style="background-color: #f8f8f8">,</span><span style="color: #000080">"RESPONSE_TIME"</span><span style="background-color: #f8f8f8">:</span><span style="color: #009999">33</span><span style="background-color: #f8f8f8">}]}</span><span style="color: #bbbbbb">
+</span><span style="background-color: #f8f8f8">}</span></code></pre></code></pre></div></section></section>
+<section class="sect1"><h2 id="visualization">Visualization</h2><p>The visualizations in this guide were performed with Apache Zeppelin using the
+Zeppelin-Solr interpreter.</p>
+<section class="sect2"><h3 id="zeppelin-solr-interpreter">Zeppelin-Solr Interpreter</h3><p>An Apache Zeppelin interpreter for Solr allows streaming expressions and math expressions to be executed and results visualized in Zeppelin.
+The instructions for installing and configuring Zeppelin-Solr can be found on the Github repository for the project:
+<a class="bare" href="https://github.com/lucidworks/zeppelin-solr">https://github.com/lucidworks/zeppelin-solr</a></p>
+<p>Once installed the Solr Interpreter can be configured to connect to your Solr instance.
+The screenshot below shows the panel for configuring Zeppelin-Solr.</p>
+<div class="imageblock"><img src="images/math-expressions/zepconf.png" alt="zepconf"></div>
+<p>Configure the <code>solr.baseUrl</code> and <code>solr.collection</code> to point to the location where the streaming
+expressions and math expressions will be sent for execution. The <code>solr.collection</code> is
+just the execution collection and does not need to hold data, although it can hold data.
+streaming expressions can choose to query any of the collections that are attached
+to the same SolrCloud as the execution collection.</p></section>
+<section class="sect2"><h3 id="zplot">zplot</h3><p>Streaming expression result sets can be visualized automatically by Zeppelin-Solr.</p>
+<p>Math expression results need to be formatted for visualization using the <code>zplot</code> function.
+This function has support for plotting <strong>vectors</strong>, <strong>matrices</strong>, <strong>probability distributions</strong> and
+<strong>2D clustering results</strong>.</p>
+<p>There are many examples in the guide which show how to visualize both streaming expressions
+and math expressions.</p></section></section>
+ </section>
+
+
+<!-- Adds tags, if any -->
+ <div class="tags">
+
+ </div>
+
+<!-- Adds nav links on each page -->
+
+
+ <nav class="scrollnav row">
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+
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+
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+
+ </article>
+ <footer>
+ <div class="row">
+ <div class="col-lg-12 footer">
+ ©2021 Apache Software Foundation. All rights reserved. <br />
+ Site Version: 8.8 <br />Site last generated: 2021-01-28 <br />
+<p><img src="images/solr-sunOnly-small.png" alt="Apache Solr"/></p>
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+<script src="https://cdnjs.cloudflare.com/ajax/libs/malihu-custom-scrollbar-plugin/3.1.5/jquery.mCustomScrollbar.concat.min.js" crossorigin="anonymous"></script>
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+
+<script src="js/customscripts.js"></script>
+
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+MathJax.Hub.Config({
+ messageStyle: "none",
+ tex2jax: {
+ inlineMath: [["\\(","\\)"]],
+ displayMath: [["\\[","\\]"]],
+ ignoreClass: "nostem|nolatexmath"
+ },
+ asciimath2jax: {
+ delimiters: [["\\$","\\$"]],
+ ignoreClass: "nostem|noasciimath"
+ },
+ TeX: {
+ equationNumbers: {
+ autoNumber: "none"
+ }
+ }
+});
+</script>
+<script src="https://cdnjs.cloudflare.com/ajax/libs/mathjax/2.7.7/MathJax.js?config=TeX-MML-AM_HTMLorMML"></script>
+
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+</body>
+</html>
Modified: websites/production/lucene/content/solr/guide/8_8/matrix-math.html
==============================================================================
--- websites/production/lucene/content/solr/guide/8_8/matrix-math.html (original)
+++ websites/production/lucene/content/solr/guide/8_8/matrix-math.html Thu Jan 28 16:33:25 2021
@@ -8,7 +8,7 @@
<meta name="description" content="">
<meta name="keywords" content=" ">
-<title>Matrices and Matrix Math | Apache Solr Reference Guide 8.8-DRAFT</title>
+<title>Matrices and Matrix Math | Apache Solr Reference Guide 8.8</title>
<link rel="stylesheet" href="https://stackpath.bootstrapcdn.com/bootstrap/4.1.3/css/bootstrap.min.css" integrity="sha384-MCw98/SFnGE8fJT3GXwEOngsV7Zt27NXFoaoApmYm81iuXoPkFOJwJ8ERdknLPMO" crossorigin="anonymous">
<link rel="stylesheet" type="text/css" href="https://maxcdn.bootstrapcdn.com/font-awesome/4.5.0/css/font-awesome.min.css">
@@ -68,7 +68,7 @@
</script>
</head>
-<body class="DRAFT" id="matrix-math">
+<body class="" id="matrix-math">
<div class="container-fluid">
<div class="row">
<nav id="sidebar" class="col-2 d-none d-md-block">
@@ -76,11 +76,6 @@
<div class="sidebar-header">
<div class="sidebarTitle text-center">Apache Solr Reference Guide</div>
- <p class="draft-notice">
- This is an unofficial DRAFT of the Guide for 8.8.
- <a href="https://lucene.apache.org/solr/guide/">Official releases are available from the Solr website</a>.
- </p>
-
<!--comment out this block if you want to hide search-->
<!--start search-->
@@ -872,11 +867,36 @@
</li>
<li class="sb-level2">
- <a href="math-expressions.html">Math Expressions</a>
+ <a href="math-expressions.html">Streaming Expressions and Math Expressions</a>
<ul>
<li class="sb-level3">
+ <a href="visualization.html">Visualization</a>
+
+ </li>
+
+ <li class="sb-level3">
+ <a href="math-start.html">Getting Started</a>
+
+ </li>
+
+ <li class="sb-level3">
+ <a href="loading.html">Loading Data</a>
+
+ </li>
+
+ <li class="sb-level3">
+ <a href="search-sample.html">Searching, Sampling and Aggregation</a>
+
+ </li>
+
+ <li class="sb-level3">
+ <a href="transform.html">Transforming Data</a>
+
+ </li>
+
+ <li class="sb-level3">
<a href="scalar-math.html">Scalar Math</a>
</li>
@@ -897,12 +917,12 @@
</li>
<li class="sb-level3">
- <a href="vectorization.html">Streams and Vectorization</a>
+ <a href="term-vectors.html">Text Analysis and Term Vectors</a>
</li>
<li class="sb-level3">
- <a href="term-vectors.html">Text Analysis and Term Vectors</a>
+ <a href="probability-distributions.html">Probability Distributions</a>
</li>
@@ -912,12 +932,12 @@
</li>
<li class="sb-level3">
- <a href="probability-distributions.html">Probability Distributions</a>
+ <a href="regression.html">Linear Regression</a>
</li>
<li class="sb-level3">
- <a href="simulations.html">Monte Carlo Simulations</a>
+ <a href="curve-fitting.html">Curve Fitting</a>
</li>
@@ -927,32 +947,32 @@
</li>
<li class="sb-level3">
- <a href="regression.html">Linear Regression</a>
+ <a href="numerical-analysis.html">Interpolation, Derivatives and Integrals</a>
</li>
<li class="sb-level3">
- <a href="numerical-analysis.html">Interpolation, Derivatives and Integrals</a>
+ <a href="dsp.html">Digital Signal Processing</a>
</li>
<li class="sb-level3">
- <a href="curve-fitting.html">Curve Fitting</a>
+ <a href="simulations.html">Monte Carlo Simulations</a>
</li>
<li class="sb-level3">
- <a href="dsp.html">Digital Signal Processing</a>
+ <a href="machine-learning.html">Machine Learning</a>
</li>
<li class="sb-level3">
- <a href="machine-learning.html">Machine Learning</a>
+ <a href="computational-geometry.html">Computational Geometry</a>
</li>
<li class="sb-level3">
- <a href="computational-geometry.html">Computational Geometry</a>
+ <a href="logs.html">Log Analytics</a>
</li>
@@ -1654,10 +1674,10 @@
<nav class="toc float-right justify-content-end">
<ul class="sectlevel1">
-<li><a href="#matrix-creation">Matrix Creation</a></li>
-<li><a href="#accessing-rows-and-columns">Accessing Rows and Columns</a></li>
-<li><a href="#pair-sorting-vectors">Pair Sorting Vectors</a></li>
+<li><a href="#matrices">Matrices</a></li>
<li><a href="#row-and-column-labels">Row and Column Labels</a></li>
+<li><a href="#visualization">Visualization</a></li>
+<li><a href="#accessing-rows-and-columns">Accessing Rows and Columns</a></li>
<li><a href="#matrix-attributes">Matrix Attributes</a></li>
<li><a href="#matrix-dimensions">Matrix Dimensions</a></li>
<li><a href="#matrix-transposition">Matrix Transposition</a></li>
@@ -1670,11 +1690,10 @@
<section class="content">
- <section id="preamble" aria-label="Preamble"><p>This section of the user guide covers the
-basics of matrix creation, manipulation and matrix math. Other sections
-of the user guide demonstrate how matrices are used by the statistics,
-probability and machine learning functions.</p></section>
-<section class="sect1"><h2 id="matrix-creation">Matrix Creation</h2><p>A matrix can be created with the <code>matrix</code> function.
+ <section id="preamble" aria-label="Preamble"><p>Matrices are used as both inputs and outputs of many mathematical functions.
+This section of the user guide covers the basics of matrix creation,
+manipulation and matrix math.</p></section>
+<section class="sect1"><h2 id="matrices">Matrices</h2><p>A matrix can be created with the <code>matrix</code> function.
The matrix function is passed a list of <code>arrays</code> with
each array representing a <strong>row</strong> in the matrix.</p>
<p>The example below creates a two-by-two matrix.</p>
@@ -1702,16 +1721,23 @@ responds with:</p>
</span><span style="color: #000080">"RESPONSE_TIME"</span><span style="background-color: #f8f8f8">:</span><span style="color: #bbbbbb"> </span><span style="color: #009999">0</span><span style="color: #bbbbbb">
</span><span style="background-color: #f8f8f8">}</span><span style="color: #bbbbbb">
</span><span style="background-color: #f8f8f8">]</span><span style="color: #bbbbbb">
- </span><span style="background-color: #f8f8f8">}</span></code></pre></code></pre></div></section>
-<section class="sect1"><h2 id="accessing-rows-and-columns">Accessing Rows and Columns</h2><p>The rows and columns of a matrix can be accessed using the <code>rowAt</code>
-and <code>colAt</code> functions.</p>
-<p>The example below creates a 2 by 2 matrix and returns the second column of the matrix.
-Notice that the matrix is passed variables in this example rather than
-directly passed a list of arrays.</p>
-<div class="listingblock"><pre class="rouge highlight"><code class="language-text" data-lang="text"><pre class="highlight"><code>let(a=array(1, 2),
- b=array(4, 5),
- c=matrix(a, b),
- d=colAt(c, 1))</code></pre></code></pre></div>
+ </span><span style="background-color: #f8f8f8">}}</span></code></pre></code></pre></div></section>
+<section class="sect1"><h2 id="row-and-column-labels">Row and Column Labels</h2><p>A matrix can have column and rows and labels. The functions
+<code>setRowLabels</code>, <code>setColumnLabels</code>, <code>getRowLabels</code>, and <code>getColumnLabels</code>
+can be used to set and get the labels.
+The label values are set using string arrays.</p>
+<p>The example below sets the row and column labels. In other sections of the
+user guide examples are shown where functions return matrices
+with the labels already set.</p>
+<p>Below is a simple example of setting and getting row and column labels
+on a matrix.</p>
+<div class="listingblock"><pre class="rouge highlight"><code class="language-text" data-lang="text"><pre class="highlight"><code>let(echo="d, e",
+ a=matrix(array(1, 2),
+ array(4, 5)),
+ b=setRowLabels(a, array("rowA", "rowB")),
+ c=setColumnLabels(b, array("colA", "colB")),
+ d=getRowLabels(c),
+ e=getColumnLabels(c))</code></pre></code></pre></div>
<p>When this expression is sent to the <code>/stream</code> handler it
responds with:</p>
<div class="listingblock"><pre class="rouge highlight"><code class="language-json" data-lang="json"><pre class="highlight"><code><span style="background-color: #f8f8f8">{</span><span style="color: #bbbbbb">
@@ -1719,8 +1745,12 @@ responds with:</p>
</span><span style="color: #000080">"docs"</span><span style="background-color: #f8f8f8">:</span><span style="color: #bbbbbb"> </span><span style="background-color: #f8f8f8">[</span><span style="color: #bbbbbb">
</span><span style="background-color: #f8f8f8">{</span><span style="color: #bbbbbb">
</span><span style="color: #000080">"d"</span><span style="background-color: #f8f8f8">:</span><span style="color: #bbbbbb"> </span><span style="background-color: #f8f8f8">[</span><span style="color: #bbbbbb">
- </span><span style="color: #009999">2</span><span style="background-color: #f8f8f8">,</span><span style="color: #bbbbbb">
- </span><span style="color: #009999">5</span><span style="color: #bbbbbb">
+ </span><span style="color: #d14">"rowA"</span><span style="background-color: #f8f8f8">,</span><span style="color: #bbbbbb">
+ </span><span style="color: #d14">"rowB"</span><span style="color: #bbbbbb">
+ </span><span style="background-color: #f8f8f8">],</span><span style="color: #bbbbbb">
+ </span><span style="color: #000080">"e"</span><span style="background-color: #f8f8f8">:</span><span style="color: #bbbbbb"> </span><span style="background-color: #f8f8f8">[</span><span style="color: #bbbbbb">
+ </span><span style="color: #d14">"colA"</span><span style="background-color: #f8f8f8">,</span><span style="color: #bbbbbb">
+ </span><span style="color: #d14">"colB"</span><span style="color: #bbbbbb">
</span><span style="background-color: #f8f8f8">]</span><span style="color: #bbbbbb">
</span><span style="background-color: #f8f8f8">},</span><span style="color: #bbbbbb">
</span><span style="background-color: #f8f8f8">{</span><span style="color: #bbbbbb">
@@ -1730,61 +1760,32 @@ responds with:</p>
</span><span style="background-color: #f8f8f8">]</span><span style="color: #bbbbbb">
</span><span style="background-color: #f8f8f8">}</span><span style="color: #bbbbbb">
</span><span style="background-color: #f8f8f8">}</span></code></pre></code></pre></div></section>
-<section class="sect1"><h2 id="pair-sorting-vectors">Pair Sorting Vectors</h2><p>The <code>pairSort</code> function can be used to sort two vectors based on the values in
-the first vector. The sorting operation maintains the pairing between
-the two vectors during the sort.</p>
-<p>The <code>pairSort</code> function returns a matrix containing the
-pair sorted vectors. The first row in the matrix is the first vector,
-the second row in the matrix is the second vector.</p>
-<p>The individual vectors can then be accessed using the <code>rowAt</code> function.</p>
-<p>The example below performs a pair sort of two vectors and returns the
-matrix containing the sorted vectors.</p>
-<div class="listingblock"><pre>let(a=array(10, 2, 1),
- b=array(100, 200, 300),
- c=pairSort(a, b))</pre></div>
-<p>When this expression is sent to the <code>/stream</code> handler it
-responds with:</p>
-<div class="listingblock"><pre class="rouge highlight"><code class="language-json" data-lang="json"><pre class="highlight"><code><span style="background-color: #f8f8f8">{</span><span style="color: #bbbbbb">
- </span><span style="color: #000080">"result-set"</span><span style="background-color: #f8f8f8">:</span><span style="color: #bbbbbb"> </span><span style="background-color: #f8f8f8">{</span><span style="color: #bbbbbb">
- </span><span style="color: #000080">"docs"</span><span style="background-color: #f8f8f8">:</span><span style="color: #bbbbbb"> </span><span style="background-color: #f8f8f8">[</span><span style="color: #bbbbbb">
- </span><span style="background-color: #f8f8f8">{</span><span style="color: #bbbbbb">
- </span><span style="color: #000080">"c"</span><span style="background-color: #f8f8f8">:</span><span style="color: #bbbbbb"> </span><span style="background-color: #f8f8f8">[</span><span style="color: #bbbbbb">
- </span><span style="background-color: #f8f8f8">[</span><span style="color: #bbbbbb">
- </span><span style="color: #009999">1</span><span style="background-color: #f8f8f8">,</span><span style="color: #bbbbbb">
- </span><span style="color: #009999">2</span><span style="background-color: #f8f8f8">,</span><span style="color: #bbbbbb">
- </span><span style="color: #009999">10</span><span style="color: #bbbbbb">
- </span><span style="background-color: #f8f8f8">],</span><span style="color: #bbbbbb">
- </span><span style="background-color: #f8f8f8">[</span><span style="color: #bbbbbb">
- </span><span style="color: #009999">300</span><span style="background-color: #f8f8f8">,</span><span style="color: #bbbbbb">
- </span><span style="color: #009999">200</span><span style="background-color: #f8f8f8">,</span><span style="color: #bbbbbb">
- </span><span style="color: #009999">100</span><span style="color: #bbbbbb">
- </span><span style="background-color: #f8f8f8">]</span><span style="color: #bbbbbb">
- </span><span style="background-color: #f8f8f8">]</span><span style="color: #bbbbbb">
- </span><span style="background-color: #f8f8f8">},</span><span style="color: #bbbbbb">
- </span><span style="background-color: #f8f8f8">{</span><span style="color: #bbbbbb">
- </span><span style="color: #000080">"EOF"</span><span style="background-color: #f8f8f8">:</span><span style="color: #bbbbbb"> </span><span style="color: #000000;font-weight: bold">true</span><span style="background-color: #f8f8f8">,</span><span style="color: #bbbbbb">
- </span><span style="color: #000080">"RESPONSE_TIME"</span><span style="background-color: #f8f8f8">:</span><span style="color: #bbbbbb"> </span><span style="color: #009999">1</span><span style="color: #bbbbbb">
- </span><span style="background-color: #f8f8f8">}</span><span style="color: #bbbbbb">
- </span><span style="background-color: #f8f8f8">]</span><span style="color: #bbbbbb">
- </span><span style="background-color: #f8f8f8">}</span><span style="color: #bbbbbb">
-</span><span style="background-color: #f8f8f8">}</span></code></pre></code></pre></div></section>
-<section class="sect1"><h2 id="row-and-column-labels">Row and Column Labels</h2><p>A matrix can have column and rows and labels. The functions
-<code>setRowLabels</code>, <code>setColumnLabels</code>, <code>getRowLabels</code> and <code>getColumnLabels</code>
-can be used to set and get the labels. The label values
-are set using string arrays.</p>
-<p>The example below sets the row and column labels. In other sections of the
-user guide examples are shown where functions return matrices
-with the labels already set.</p>
-<p>Below is a simple example of setting and
-getting row and column labels
-on a matrix.</p>
-<div class="listingblock"><pre class="rouge highlight"><code class="language-text" data-lang="text"><pre class="highlight"><code>let(echo="d, e",
- a=matrix(array(1, 2),
- array(4, 5)),
- b=setRowLabels(a, array("row0", "row1")),
- c=setColumnLabels(b, array("col0", "col1")),
- d=getRowLabels(c),
- e=getColumnLabels(c))</code></pre></code></pre></div>
+<section class="sect1"><h2 id="visualization">Visualization</h2><p>The <code>zplot</code> function can plot matrices as a heat map using the <code>heat</code> named parameter.
+Heat maps are powerful visualization tools for displaying <a href="statistics.html#correlation-matrices"><strong>correlation</strong></a> and <a href="machine-learning.html#distance-and-distance-matrices"><strong>distance</strong></a> matrices described later in the guide.
+The example below shows a 2x2 matrix visualized using the heat map
+visualization in Apache Zeppelin.</p>
+<div class="admonitionblock note">
+<table>
+<tr>
+<td class="icon">
+<i class="fa icon-note" title="Note"></i>
+</td>
+<td class="content">
+In the visualization below the rows are read from the <strong>bottom</strong> up, which is a common convention for heat maps.
+</td>
+</tr>
+</table>
+</div>
+<div class="imageblock"><img src="images/math-expressions/matrix.png" alt="matrix"></div></section>
+<section class="sect1"><h2 id="accessing-rows-and-columns">Accessing Rows and Columns</h2><p>The rows and columns of a matrix can be accessed using the <code>rowAt</code>
+and <code>colAt</code> functions.</p>
+<p>The example below creates a 2 by 2 matrix and returns the second column of the matrix.
+Notice that the matrix is passed variables in this example rather than
+directly passed a list of arrays.</p>
+<div class="listingblock"><pre class="rouge highlight"><code class="language-text" data-lang="text"><pre class="highlight"><code>let(a=array(1, 2),
+ b=array(4, 5),
+ c=matrix(a, b),
+ d=colAt(c, 1))</code></pre></code></pre></div>
<p>When this expression is sent to the <code>/stream</code> handler it
responds with:</p>
<div class="listingblock"><pre class="rouge highlight"><code class="language-json" data-lang="json"><pre class="highlight"><code><span style="background-color: #f8f8f8">{</span><span style="color: #bbbbbb">
@@ -1792,12 +1793,8 @@ responds with:</p>
</span><span style="color: #000080">"docs"</span><span style="background-color: #f8f8f8">:</span><span style="color: #bbbbbb"> </span><span style="background-color: #f8f8f8">[</span><span style="color: #bbbbbb">
</span><span style="background-color: #f8f8f8">{</span><span style="color: #bbbbbb">
</span><span style="color: #000080">"d"</span><span style="background-color: #f8f8f8">:</span><span style="color: #bbbbbb"> </span><span style="background-color: #f8f8f8">[</span><span style="color: #bbbbbb">
- </span><span style="color: #d14">"row0"</span><span style="background-color: #f8f8f8">,</span><span style="color: #bbbbbb">
- </span><span style="color: #d14">"row1"</span><span style="color: #bbbbbb">
- </span><span style="background-color: #f8f8f8">],</span><span style="color: #bbbbbb">
- </span><span style="color: #000080">"e"</span><span style="background-color: #f8f8f8">:</span><span style="color: #bbbbbb"> </span><span style="background-color: #f8f8f8">[</span><span style="color: #bbbbbb">
- </span><span style="color: #d14">"col0"</span><span style="background-color: #f8f8f8">,</span><span style="color: #bbbbbb">
- </span><span style="color: #d14">"col1"</span><span style="color: #bbbbbb">
+ </span><span style="color: #009999">2</span><span style="background-color: #f8f8f8">,</span><span style="color: #bbbbbb">
+ </span><span style="color: #009999">5</span><span style="color: #bbbbbb">
</span><span style="background-color: #f8f8f8">]</span><span style="color: #bbbbbb">
</span><span style="background-color: #f8f8f8">},</span><span style="color: #bbbbbb">
</span><span style="background-color: #f8f8f8">{</span><span style="color: #bbbbbb">
@@ -1912,13 +1909,12 @@ responds with:</p>
</span><span style="background-color: #f8f8f8">}</span><span style="color: #bbbbbb">
</span><span style="background-color: #f8f8f8">}</span></code></pre></code></pre></div></section>
<section class="sect1"><h2 id="scalar-matrix-math">Scalar Matrix Math</h2><p>The same scalar math functions that apply to vectors can also be applied to matrices: <code>scalarAdd</code>, <code>scalarSubtract</code>,
-<code>scalarMultiply</code>, <code>scalarDivide</code>. Below is an example of the <code>scalarAdd</code> function
-which adds a scalar value to each element in a matrix.</p>
+<code>scalarMultiply</code>, <code>scalarDivide</code>.</p>
+<p>Below is an example of the <code>scalarAdd</code> function which adds a scalar value to each element in a matrix.</p>
<div class="listingblock"><pre class="rouge highlight"><code class="language-text" data-lang="text"><pre class="highlight"><code>let(a=matrix(array(1, 2),
array(4, 5)),
b=scalarAdd(10, a))</code></pre></code></pre></div>
-<p>When this expression is sent to the <code>/stream</code> handler it
-responds with:</p>
+<p>When this expression is sent to the <code>/stream</code> handler it responds with:</p>
<div class="listingblock"><pre class="rouge highlight"><code class="language-json" data-lang="json"><pre class="highlight"><code><span style="background-color: #f8f8f8">{</span><span style="color: #bbbbbb">
</span><span style="color: #000080">"result-set"</span><span style="background-color: #f8f8f8">:</span><span style="color: #bbbbbb"> </span><span style="background-color: #f8f8f8">{</span><span style="color: #bbbbbb">
</span><span style="color: #000080">"docs"</span><span style="background-color: #f8f8f8">:</span><span style="color: #bbbbbb"> </span><span style="background-color: #f8f8f8">[</span><span style="color: #bbbbbb">
@@ -1944,12 +1940,11 @@ responds with:</p>
<section class="sect1"><h2 id="matrix-addition-and-subtraction">Matrix Addition and Subtraction</h2><p>Two matrices can be added and subtracted using the <code>ebeAdd</code> and <code>ebeSubtract</code> functions,
which perform element-by-element addition
and subtraction of matrices.</p>
-<p>Below is a simple example of an element-by-element addition of a matrix by itself:</p>
+<p>Below is a simple example of an element-by-element addition using <code>ebeAdd</code> of a matrix by itself:</p>
<div class="listingblock"><pre class="rouge highlight"><code class="language-text" data-lang="text"><pre class="highlight"><code>let(a=matrix(array(1, 2),
array(4, 5)),
b=ebeAdd(a, a))</code></pre></code></pre></div>
-<p>When this expression is sent to the <code>/stream</code> handler it
-responds with:</p>
+<p>When this expression is sent to the <code>/stream</code> handler it responds with:</p>
<div class="listingblock"><pre class="rouge highlight"><code class="language-json" data-lang="json"><pre class="highlight"><code><span style="background-color: #f8f8f8">{</span><span style="color: #bbbbbb">
</span><span style="color: #000080">"result-set"</span><span style="background-color: #f8f8f8">:</span><span style="color: #bbbbbb"> </span><span style="background-color: #f8f8f8">{</span><span style="color: #bbbbbb">
</span><span style="color: #000080">"docs"</span><span style="background-color: #f8f8f8">:</span><span style="color: #bbbbbb"> </span><span style="background-color: #f8f8f8">[</span><span style="color: #bbbbbb">
@@ -1972,8 +1967,8 @@ responds with:</p>
</span><span style="background-color: #f8f8f8">]</span><span style="color: #bbbbbb">
</span><span style="background-color: #f8f8f8">}</span><span style="color: #bbbbbb">
</span><span style="background-color: #f8f8f8">}</span></code></pre></code></pre></div></section>
-<section class="sect1"><h2 id="matrix-multiplication">Matrix Multiplication</h2><p>Matrix multiplication can be accomplished using the <code>matrixMult</code> function. Below is a simple
-example of matrix multiplication:</p>
+<section class="sect1"><h2 id="matrix-multiplication">Matrix Multiplication</h2><p>Matrix multiplication can be accomplished using the <code>matrixMult</code> function.
+Below is a simple example of matrix multiplication:</p>
<div class="listingblock"><pre class="rouge highlight"><code class="language-text" data-lang="text"><pre class="highlight"><code>let(a=matrix(array(1, 2),
array(4, 5)),
b=matrix(array(11, 12),
@@ -2020,7 +2015,7 @@ responds with:</p>
<a class="btn btn-primary prev float-left" href="variables.html">Variables</a>
- <a class="btn btn-primary next float-right" href="vectorization.html">Streams and Vectorization</a>
+ <a class="btn btn-primary next float-right" href="term-vectors.html">Text Analysis and Term Vectors</a>
</div>
</nav>
@@ -2032,7 +2027,7 @@ responds with:</p>
<div class="row">
<div class="col-lg-12 footer">
©2021 Apache Software Foundation. All rights reserved. <br />
- Site Version: 8.8-DRAFT <br />Site last generated: 2021-01-19 <br />
+ Site Version: 8.8 <br />Site last generated: 2021-01-28 <br />
<p><img src="images/solr-sunOnly-small.png" alt="Apache Solr"/></p>
</div>
</div>