updated of the offline docu.

This commit is contained in:
2025-06-09 09:10:49 +02:00
parent 0943f1f061
commit 0cde84d756
63 changed files with 6618 additions and 22247 deletions

View File

@ -1,90 +1,50 @@
<!DOCTYPE html>
<!--[if IE 8]><html class="no-js lt-ie9" lang="en" > <![endif]-->
<!--[if gt IE 8]><!--> <html class="no-js" lang="en" > <!--<![endif]-->
<html class="writer-html5" lang="en" data-content_root="./">
<head>
<meta charset="utf-8">
<meta name="viewport" content="width=device-width, initial-scale=1.0">
<title>Short description and references to the supported file-formats &mdash; musrfit 1.9.5 documentation</title>
<meta charset="utf-8" /><meta name="viewport" content="width=device-width, initial-scale=1" />
<meta name="viewport" content="width=device-width, initial-scale=1.0" />
<title>Short description and references to the supported file-formats &mdash; musrfit 1.9.9 documentation</title>
<link rel="stylesheet" type="text/css" href="_static/pygments.css?v=fa44fd50" />
<link rel="stylesheet" type="text/css" href="_static/css/theme.css?v=7a5cd723" />
<link rel="stylesheet" href="_static/css/theme.css" type="text/css" />
<link rel="stylesheet" href="_static/pygments.css" type="text/css" />
<script src="_static/jquery.js?v=5d32c60e"></script>
<script src="_static/_sphinx_javascript_frameworks_compat.js?v=2cd50e6c"></script>
<script src="_static/documentation_options.js?v=4320943d"></script>
<script src="_static/doctools.js?v=9bcbadda"></script>
<script src="_static/sphinx_highlight.js?v=dc90522c"></script>
<script async="async" src="https://cdn.jsdelivr.net/npm/mathjax@3/es5/tex-mml-chtml.js"></script>
<script src="_static/js/theme.js"></script>
<link rel="index" title="Index" href="genindex.html" />
<link rel="search" title="Search" href="search.html" />
<link rel="next" title="MusrRoot - an Extensible Open File Format for μSR" href="musr-root.html" />
<link rel="prev" title="any2many - a Universal μSR-file-format converter" href="any2many.html" />
<link href="_static/style.css" rel="stylesheet" type="text/css">
<script src="_static/js/modernizr.min.js"></script>
</head>
<body class="wy-body-for-nav">
<body class="wy-body-for-nav">
<div class="wy-grid-for-nav">
<nav data-toggle="wy-nav-shift" class="wy-nav-side">
<div class="wy-side-scroll">
<div class="wy-side-nav-search">
<div class="wy-side-nav-search" >
<a href="index.html" class="icon icon-home"> musrfit
<a href="index.html" class="icon icon-home">
musrfit
</a>
<div class="version">
1.9
</div>
<div role="search">
<form id="rtd-search-form" class="wy-form" action="search.html" method="get">
<input type="text" name="q" placeholder="Search docs" />
<input type="text" name="q" placeholder="Search docs" aria-label="Search docs" />
<input type="hidden" name="check_keywords" value="yes" />
<input type="hidden" name="area" value="default" />
</form>
</div>
</div>
<div class="wy-menu wy-menu-vertical" data-spy="affix" role="navigation" aria-label="main navigation">
</div><div class="wy-menu wy-menu-vertical" data-spy="affix" role="navigation" aria-label="Navigation menu">
<ul class="current">
<li class="toctree-l1"><a class="reference internal" href="cite.html">How to Cite <code class="docutils literal notranslate"><span class="pre">musrfit</span></code>?</a></li>
<li class="toctree-l1"><a class="reference internal" href="tutorial.html">Tutorial for <code class="docutils literal notranslate"><span class="pre">musrfit</span></code></a></li>
@ -114,85 +74,47 @@
<li class="toctree-l1"><a class="reference internal" href="bugtracking.html">Bugtracking</a></li>
</ul>
</div>
</div>
</nav>
<section data-toggle="wy-nav-shift" class="wy-nav-content-wrap">
<nav class="wy-nav-top" aria-label="top navigation">
<section data-toggle="wy-nav-shift" class="wy-nav-content-wrap"><nav class="wy-nav-top" aria-label="Mobile navigation menu" >
<i data-toggle="wy-nav-top" class="fa fa-bars"></i>
<a href="index.html">musrfit</a>
</nav>
<div class="wy-nav-content">
<div class="rst-content">
<div role="navigation" aria-label="breadcrumbs navigation">
<div role="navigation" aria-label="Page navigation">
<ul class="wy-breadcrumbs">
<li><a href="index.html">Docs</a> &raquo;</li>
<li>Short description and references to the supported file-formats</li>
<li><a href="index.html" class="icon icon-home" aria-label="Home"></a></li>
<li class="breadcrumb-item active">Short description and references to the supported file-formats</li>
<li class="wy-breadcrumbs-aside">
<a href="_sources/file-formats.rst.txt" rel="nofollow"> View page source</a>
</li>
</ul>
<hr/>
</div>
<div role="main" class="document" itemscope="itemscope" itemtype="http://schema.org/Article">
<div itemprop="articleBody">
<div class="section" id="short-description-and-references-to-the-supported-file-formats">
<span id="file-formats"></span><span id="index-0"></span><h1>Short description and references to the supported file-formats<a class="headerlink" href="#short-description-and-references-to-the-supported-file-formats" title="Permalink to this headline"></a></h1>
<section id="short-description-and-references-to-the-supported-file-formats">
<span id="file-formats"></span><span id="index-0"></span><h1>Short description and references to the supported file-formats<a class="headerlink" href="#short-description-and-references-to-the-supported-file-formats" title="Link to this heading"></a></h1>
<p>Currently the following μSR and non-μSR file formats are supported (in alphabetic order):</p>
<ul class="simple">
<li>ascii (non-μSR): <a class="reference internal" href="#ascii-file-format"><span class="std std-ref">ASCII file format for non-uSR</span></a></li>
<li>db (non-μSR): <a class="reference internal" href="#db-file-format"><span class="std std-ref">DB (triumf)</span></a></li>
<li>dat (non-μSR): <a class="reference internal" href="#dat-file-format"><span class="std std-ref">DAT: CSV like data file</span></a></li>
<li>mdu (μSR): <a class="reference internal" href="#mdu-file-format"><span class="std std-ref">MDU file format (PSI)</span></a></li>
<li>mud (μSR): <a class="reference internal" href="#mud-file-format"><span class="std std-ref">MUon Data access file format (TRIUMF)</span></a></li>
<li>musr-root (μSR): <a class="reference internal" href="musr-root.html#musrroot"><span class="std std-ref">MusrRoot - an Extensible Open File Format for uSR</span></a></li>
<li>nexus (μSR): used to read NeXus files from ISIS (HDF4 and HDF5): <a class="reference internal" href="#nexus-file-format"><span class="std std-ref">NeXus</span></a></li>
<li>psi-bin (μSR): <a class="reference internal" href="#psi-bin-file-format"><span class="std std-ref">PSI-BIN file format (PSI)</span></a></li>
<li>root (μSR): specific version for LEM before 2012 <a class="reference internal" href="#root-file-format"><span class="std std-ref">LEM ROOT file format</span></a></li>
<li>wkm (μSR): special ascii file format used in the past by the TU Braunschweig (outdated): <a class="reference internal" href="#wkm-file-format"><span class="std std-ref">WKM</span></a></li>
<li><p>ascii (non-μSR): <a class="reference internal" href="#ascii-file-format"><span class="std std-ref">ASCII file format for non-uSR</span></a></p></li>
<li><p>db (non-μSR): <a class="reference internal" href="#db-file-format"><span class="std std-ref">DB (triumf)</span></a></p></li>
<li><p>dat (non-μSR): <a class="reference internal" href="#dat-file-format"><span class="std std-ref">DAT: CSV like data file</span></a></p></li>
<li><p>mdu (μSR): <a class="reference internal" href="#mdu-file-format"><span class="std std-ref">MDU file format (PSI)</span></a></p></li>
<li><p>mud (μSR): <a class="reference internal" href="#mud-file-format"><span class="std std-ref">MUon Data access file format (TRIUMF)</span></a></p></li>
<li><p>musr-root (μSR): <a class="reference internal" href="musr-root.html#musrroot"><span class="std std-ref">MusrRoot - an Extensible Open File Format for uSR</span></a></p></li>
<li><p>nexus (μSR): used to read NeXus files from ISIS (HDF4 and HDF5): <a class="reference internal" href="#nexus-file-format"><span class="std std-ref">NeXus</span></a></p></li>
<li><p>psi-bin (μSR): <a class="reference internal" href="#psi-bin-file-format"><span class="std std-ref">PSI-BIN file format (PSI)</span></a></p></li>
<li><p>root (μSR): specific version for LEM before 2012 <a class="reference internal" href="#root-file-format"><span class="std std-ref">LEM ROOT file format</span></a></p></li>
<li><p>wkm (μSR): special ascii file format used in the past by the TU Braunschweig (outdated): <a class="reference internal" href="#wkm-file-format"><span class="std std-ref">WKM</span></a></p></li>
</ul>
<div class="section" id="ascii-file-format-for-non-mgrsr">
<span id="ascii-file-format"></span><span id="index-1"></span><h2>ASCII file format for non-μSR<a class="headerlink" href="#ascii-file-format-for-non-mgrsr" title="Permalink to this headline"></a></h2>
<section id="ascii-file-format-for-non-mgrsr">
<span id="ascii-file-format"></span><span id="index-1"></span><h2>ASCII file format for non-μSR<a class="headerlink" href="#ascii-file-format-for-non-mgrsr" title="Link to this heading"></a></h2>
<p>This for instance can be used to fit <span class="math notranslate nohighlight">\(1/\lambda^2 ~ \mathrm{vs} ~ T\)</span> to study gap properties of superconductors.
Details about the gap-intergrals can be found in the memo <em>GapIntegrals.pdf</em> which can be found in the source code of musrfit
under &lt;musrfit-home-dir&gt;/src/external/libGapIntegrals.</p>
@ -258,9 +180,9 @@ If no error in y is present, the weighting in the fit will be equal.</p>
<span class="mf">4.30518</span><span class="p">,</span> <span class="mf">1.35139</span><span class="p">,</span> <span class="mf">0.08</span>
</pre></div>
</div>
</div>
<div class="section" id="db-file-format-for-non-mgrsr">
<span id="db-file-format"></span><span id="index-2"></span><h2>DB file format for non-μSR<a class="headerlink" href="#db-file-format-for-non-mgrsr" title="Permalink to this headline"></a></h2>
</section>
<section id="db-file-format-for-non-mgrsr">
<span id="db-file-format"></span><span id="index-2"></span><h2>DB file format for non-μSR<a class="headerlink" href="#db-file-format-for-non-mgrsr" title="Link to this heading"></a></h2>
<p>The DB file format is an <em>archaic</em> ascii file format from TRIUMF which is intended to be used to collect parameter summaries of various runs, which can be read directly by <a class="reference internal" href="mupp.html#mupp"><span class="std std-ref">mupp</span></a>.</p>
<p>The DB file is organized in a couple of tags defining various properties, followed by the parameter data with its errors.
Tags and is content are always separated by an empty line.
@ -287,7 +209,7 @@ Unlike the other tags, here the list of names follow directly after the <strong>
<div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="n">DATA</span> <span class="n">dataT</span> <span class="n">dataB</span> <span class="n">dataE</span> <span class="n">dataTr</span> <span class="o">...</span>
</pre></div>
</div>
<p>Next there will be a line with the tag <strong>\-e</strong>, followed by</p>
<p>Next there will be a line with the tag <strong>\\-e</strong>, followed by</p>
<p>The parameters are afterwards listed as</p>
<div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="n">param</span><span class="o">-</span><span class="n">name</span> <span class="o">=</span> <span class="n">val</span><span class="p">,</span> <span class="n">pos</span><span class="o">-</span><span class="n">err</span><span class="p">,</span> <span class="n">neg</span><span class="o">-</span><span class="n">err</span><span class="p">,</span>\
</pre></div>
@ -392,9 +314,9 @@ This might look like this (be aware of the comma!):</p>
<span class="o">&gt;&gt;</span> <span class="n">here</span> <span class="n">many</span> <span class="n">more</span> <span class="n">run</span> <span class="n">data</span> <span class="n">would</span> <span class="n">follow</span> <span class="o">...</span>
</pre></div>
</div>
</div>
<div class="section" id="dat-csv-like-file-format-for-non-mgrsr">
<span id="dat-file-format"></span><span id="index-3"></span><h2>DAT: CSV like file format for non-μSR<a class="headerlink" href="#dat-csv-like-file-format-for-non-mgrsr" title="Permalink to this headline"></a></h2>
</section>
<section id="dat-csv-like-file-format-for-non-mgrsr">
<span id="dat-file-format"></span><span id="index-3"></span><h2>DAT: CSV like file format for non-μSR<a class="headerlink" href="#dat-csv-like-file-format-for-non-mgrsr" title="Link to this heading"></a></h2>
<p>This is typically used when exporting the parameter data from <strong>msr2data</strong> to be used in <strong>mupp</strong>, gnuplot, origin, or whatever parameter plotter you might use.
The first line defines the parameter tags separated by spaces or tabs. If errors are available there are labeled be the ending <em>Err</em>.
This is followed by the parameter values and its errors if present. A fill example looks like this:</p>
@ -403,29 +325,29 @@ This is followed by the parameter values and its errors if present. A fill examp
<span class="mi">200</span> <span class="mf">0.009</span> <span class="mf">99.49</span> <span class="mf">2.11668</span> <span class="mf">10.001</span> <span class="o">-</span><span class="mf">0.008</span> <span class="o">-</span><span class="mf">0.008</span> <span class="o">-</span><span class="mi">10</span> <span class="mf">0.1732</span> <span class="mf">0.0012</span> <span class="mf">0.0012</span> <span class="mf">0.0096</span> <span class="mf">0.0025</span> <span class="mf">0.0026</span> <span class="mf">28.88</span> <span class="mf">0.57</span> <span class="mf">0.57</span> <span class="mf">101.231</span> <span class="mf">0.03</span> <span class="mf">0.03</span> <span class="mi">0</span> <span class="mi">0</span> <span class="mi">0</span> <span class="mf">219.86</span> <span class="mf">0.27</span> <span class="mf">0.27</span> <span class="mf">2.749</span> <span class="mf">0.033</span> <span class="mf">0.033</span> <span class="o">-</span><span class="mf">88.87</span> <span class="mf">0.71</span> <span class="mf">0.71</span> <span class="mf">211.47</span> <span class="mf">0.26</span> <span class="mf">0.26</span> <span class="mf">2.791</span> <span class="mf">0.032</span> <span class="mf">0.032</span> <span class="o">-</span><span class="mf">178.48</span> <span class="mf">0.72</span> <span class="mf">0.71</span> <span class="mf">0.9678</span> <span class="mf">0.0017</span> <span class="mf">0.0017</span> <span class="mf">2.969</span> <span class="mf">0.033</span> <span class="mf">0.033</span> <span class="mf">90.94</span> <span class="mf">0.73</span> <span class="mf">0.73</span> <span class="mf">0.9608</span> <span class="mf">0.0017</span> <span class="mf">0.0017</span> <span class="mf">2.653</span> <span class="mf">0.032</span> <span class="mf">0.032</span> <span class="mf">20182.5</span> <span class="mi">20361</span> <span class="mf">0.991233</span> <span class="mi">11401</span>
</pre></div>
</div>
</div>
<div class="section" id="mdu-file-format-psi-for-mgrsr">
<span id="mdu-file-format"></span><span id="index-4"></span><h2>MDU file format (psi) for μSR<a class="headerlink" href="#mdu-file-format-psi-for-mgrsr" title="Permalink to this headline"></a></h2>
</section>
<section id="mdu-file-format-psi-for-mgrsr">
<span id="mdu-file-format"></span><span id="index-4"></span><h2>MDU file format (psi) for μSR<a class="headerlink" href="#mdu-file-format-psi-for-mgrsr" title="Link to this heading"></a></h2>
<p>For details about the PSI-BIN/MDU file format from PSI see <a class="reference external" href="http://lmu.web.psi.ch/docu/manuals/bulk_manuals/software/Class_MuSR_PSI/index.html">Class_MuSR_PSI</a></p>
</div>
<div class="section" id="mud-file-format-triumf-for-mgrsr">
<span id="mud-file-format"></span><span id="index-5"></span><h2>MUD file format (triumf) for μSR<a class="headerlink" href="#mud-file-format-triumf-for-mgrsr" title="Permalink to this headline"></a></h2>
</section>
<section id="mud-file-format-triumf-for-mgrsr">
<span id="mud-file-format"></span><span id="index-5"></span><h2>MUD file format (triumf) for μSR<a class="headerlink" href="#mud-file-format-triumf-for-mgrsr" title="Link to this heading"></a></h2>
<p>For details about the MUD file format from triumf see <a class="reference external" href="https://cmms.triumf.ca/mud/">MUon Data access</a> .</p>
</div>
<div class="section" id="musrroot-file-format-psi-for-mgrsr">
<span id="musr-root-file-format"></span><h2>MusrRoot file format (PSI) for μSR<a class="headerlink" href="#musrroot-file-format-psi-for-mgrsr" title="Permalink to this headline"></a></h2>
</section>
<section id="musrroot-file-format-psi-for-mgrsr">
<span id="musr-root-file-format"></span><h2>MusrRoot file format (PSI) for μSR<a class="headerlink" href="#musrroot-file-format-psi-for-mgrsr" title="Link to this heading"></a></h2>
<p>For details see <a class="reference internal" href="musr-root.html#musrroot"><span class="std std-ref">MusrRoot - an Extensible Open File Format for uSR</span></a>.</p>
</div>
<div class="section" id="nexus-file-format-isis-for-mgrsr">
<span id="nexus-file-format"></span><span id="index-6"></span><h2>NeXus file format (isis) for μSR<a class="headerlink" href="#nexus-file-format-isis-for-mgrsr" title="Permalink to this headline"></a></h2>
</section>
<section id="nexus-file-format-isis-for-mgrsr">
<span id="nexus-file-format"></span><span id="index-6"></span><h2>NeXus file format (isis) for μSR<a class="headerlink" href="#nexus-file-format-isis-for-mgrsr" title="Link to this heading"></a></h2>
<p>For details about the NeXus file format from ISIS (UK) see <a class="reference external" href="https://doi.org/10.1016/S0921-4526(02)01613-7">The application of the NeXus data format to ISIS muon data</a> . For a detailed list of available meta information and data see <a class="reference external" href="https://www.isis.stfc.ac.uk/Pages/nexus-definition-v27924.pdf">NeXus Instrument Definitions for ISIS muon Data</a> .</p>
</div>
<div class="section" id="psi-bin-file-format-psi-for-mgrsr">
<span id="psi-bin-file-format"></span><span id="index-7"></span><h2>PSI-BIN file format (psi) for μSR<a class="headerlink" href="#psi-bin-file-format-psi-for-mgrsr" title="Permalink to this headline"></a></h2>
</section>
<section id="psi-bin-file-format-psi-for-mgrsr">
<span id="psi-bin-file-format"></span><span id="index-7"></span><h2>PSI-BIN file format (psi) for μSR<a class="headerlink" href="#psi-bin-file-format-psi-for-mgrsr" title="Link to this heading"></a></h2>
<p>For details about the PSI-BIN/MDU file format from PSI see <a class="reference external" href="http://lmu.web.psi.ch/docu/manuals/bulk_manuals/software/Class_MuSR_PSI/index.html">Class_MuSR_PSI</a>.</p>
</div>
<div class="section" id="root-file-format-psi-lem-before-2012-for-mgrsr">
<span id="root-file-format"></span><span id="index-8"></span><h2>ROOT file format (psi/lem before 2012) for μSR<a class="headerlink" href="#root-file-format-psi-lem-before-2012-for-mgrsr" title="Permalink to this headline"></a></h2>
</section>
<section id="root-file-format-psi-lem-before-2012-for-mgrsr">
<span id="root-file-format"></span><span id="index-8"></span><h2>ROOT file format (psi/lem before 2012) for μSR<a class="headerlink" href="#root-file-format-psi-lem-before-2012-for-mgrsr" title="Link to this heading"></a></h2>
<p>For details about the API of ROOT files can be here: <a class="reference external" href="https://root.cern/manual/root_files/">ROOT files</a>.
The structure of the ROOT files (LEM, before 2012) looks like this:</p>
<div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="n">ROOT</span><span class="o">-</span><span class="n">file</span> <span class="o">--|</span>
@ -457,9 +379,9 @@ The structure of the ROOT files (LEM, before 2012) looks like this:</p>
<p>The detectors (20, 21, 22, and 23) are the detectors (Left, Top, Right, Bottom). These are post-pileup-corrected (PPC) histograms.</p>
<p>The <code class="docutils literal notranslate"><span class="pre">SCAnaModule</span></code> contains various <strong>TF1H</strong> objects of slow control data of the run.</p>
<p>The <code class="docutils literal notranslate"><span class="pre">RunSummary</span></code> is essentially an ascii dump, with summary information of the run.</p>
</div>
<div class="section" id="wkm-file-format-for-mgrsr">
<span id="wkm-file-format"></span><span id="index-9"></span><h2>WKM file format for μSR<a class="headerlink" href="#wkm-file-format-for-mgrsr" title="Permalink to this headline"></a></h2>
</section>
<section id="wkm-file-format-for-mgrsr">
<span id="wkm-file-format"></span><span id="index-9"></span><h2>WKM file format for μSR<a class="headerlink" href="#wkm-file-format-for-mgrsr" title="Link to this heading"></a></h2>
<p>WKM is an obsolete ascii file format, originally introduced by people from the TU Braunschweig.
It starts with a header which shows like this:</p>
<div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="o">-</span> <span class="n">WKM</span> <span class="n">data</span> <span class="n">file</span> <span class="n">converted</span> <span class="k">with</span> <span class="n">any2many</span>
@ -479,73 +401,36 @@ It starts with a header which shows like this:</p>
<p>The header ends with an empty line.</p>
<p>The data are stored as following: there are always 10 bin-counts per line.
Between detectors, there will be an empty line.</p>
</div>
</div>
</section>
</section>
</div>
</div>
<footer>
<div class="rst-footer-buttons" role="navigation" aria-label="footer navigation">
<a href="musr-root.html" class="btn btn-neutral float-right" title="MusrRoot - an Extensible Open File Format for μSR" accesskey="n" rel="next">Next <span class="fa fa-arrow-circle-right"></span></a>
<a href="any2many.html" class="btn btn-neutral" title="any2many - a Universal μSR-file-format converter" accesskey="p" rel="prev"><span class="fa fa-arrow-circle-left"></span> Previous</a>
<footer><div class="rst-footer-buttons" role="navigation" aria-label="Footer">
<a href="any2many.html" class="btn btn-neutral float-left" title="any2many - a Universal μSR-file-format converter" accesskey="p" rel="prev"><span class="fa fa-arrow-circle-left" aria-hidden="true"></span> Previous</a>
<a href="musr-root.html" class="btn btn-neutral float-right" title="MusrRoot - an Extensible Open File Format for μSR" accesskey="n" rel="next">Next <span class="fa fa-arrow-circle-right" aria-hidden="true"></span></a>
</div>
<hr/>
<div role="contentinfo">
<p>
&copy; Copyright 2023, Andreas Suter.
Last updated on Jun 24, 2024.
</p>
<p>&#169; Copyright 2025, Andreas Suter.
<span class="lastupdated">Last updated on Jun 07, 2025.
</span></p>
</div>
Built with <a href="http://sphinx-doc.org/">Sphinx</a> using a <a href="https://github.com/rtfd/sphinx_rtd_theme">theme</a> provided by <a href="https://readthedocs.org">Read the Docs</a>.
Built with <a href="https://www.sphinx-doc.org/">Sphinx</a> using a
<a href="https://github.com/readthedocs/sphinx_rtd_theme">theme</a>
provided by <a href="https://readthedocs.org">Read the Docs</a>.
</footer>
</div>
</div>
</section>
</div>
<script type="text/javascript">
var DOCUMENTATION_OPTIONS = {
URL_ROOT:'./',
VERSION:'1.9.5',
LANGUAGE:'None',
COLLAPSE_INDEX:false,
FILE_SUFFIX:'.html',
HAS_SOURCE: true,
SOURCELINK_SUFFIX: '.txt'
};
</script>
<script type="text/javascript" src="_static/jquery.js"></script>
<script type="text/javascript" src="_static/underscore.js"></script>
<script type="text/javascript" src="_static/doctools.js"></script>
<script type="text/javascript" src="https://cdnjs.cloudflare.com/ajax/libs/mathjax/2.7.1/MathJax.js?config=TeX-AMS-MML_HTMLorMML"></script>
<script type="text/javascript" src="_static/js/theme.js"></script>
<script type="text/javascript">
<script>
jQuery(function () {
SphinxRtdTheme.Navigation.enable(true);
});