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diff --git a/docs/dev/reference/mmkin.html b/docs/dev/reference/mmkin.html deleted file mode 100644 index 64623f20..00000000 --- a/docs/dev/reference/mmkin.html +++ /dev/null @@ -1,289 +0,0 @@ -<!DOCTYPE html> -<!-- Generated by pkgdown: do not edit by hand --><html lang="en"><head><meta http-equiv="Content-Type" content="text/html; charset=UTF-8"><meta charset="utf-8"><meta http-equiv="X-UA-Compatible" content="IE=edge"><meta name="viewport" content="width=device-width, initial-scale=1.0"><title>Fit one or more kinetic models with one or more state variables to one or -more datasets — mmkin • mkin</title><!-- jquery --><script src="https://cdnjs.cloudflare.com/ajax/libs/jquery/3.4.1/jquery.min.js" integrity="sha256-CSXorXvZcTkaix6Yvo6HppcZGetbYMGWSFlBw8HfCJo=" crossorigin="anonymous"></script><!-- Bootstrap --><link rel="stylesheet" href="https://cdnjs.cloudflare.com/ajax/libs/twitter-bootstrap/3.4.1/css/bootstrap.min.css" integrity="sha256-bZLfwXAP04zRMK2BjiO8iu9pf4FbLqX6zitd+tIvLhE=" crossorigin="anonymous"><script src="https://cdnjs.cloudflare.com/ajax/libs/twitter-bootstrap/3.4.1/js/bootstrap.min.js" integrity="sha256-nuL8/2cJ5NDSSwnKD8VqreErSWHtnEP9E7AySL+1ev4=" crossorigin="anonymous"></script><!-- bootstrap-toc --><link rel="stylesheet" href="../bootstrap-toc.css"><script src="../bootstrap-toc.js"></script><!-- Font Awesome icons --><link rel="stylesheet" href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.12.1/css/all.min.css" integrity="sha256-mmgLkCYLUQbXn0B1SRqzHar6dCnv9oZFPEC1g1cwlkk=" crossorigin="anonymous"><link rel="stylesheet" href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.12.1/css/v4-shims.min.css" integrity="sha256-wZjR52fzng1pJHwx4aV2AO3yyTOXrcDW7jBpJtTwVxw=" crossorigin="anonymous"><!-- clipboard.js --><script src="https://cdnjs.cloudflare.com/ajax/libs/clipboard.js/2.0.6/clipboard.min.js" integrity="sha256-inc5kl9MA1hkeYUt+EC3BhlIgyp/2jDIyBLS6k3UxPI=" crossorigin="anonymous"></script><!-- headroom.js --><script src="https://cdnjs.cloudflare.com/ajax/libs/headroom/0.11.0/headroom.min.js" integrity="sha256-AsUX4SJE1+yuDu5+mAVzJbuYNPHj/WroHuZ8Ir/CkE0=" crossorigin="anonymous"></script><script src="https://cdnjs.cloudflare.com/ajax/libs/headroom/0.11.0/jQuery.headroom.min.js" integrity="sha256-ZX/yNShbjqsohH1k95liqY9Gd8uOiE1S4vZc+9KQ1K4=" crossorigin="anonymous"></script><!-- pkgdown --><link href="../pkgdown.css" rel="stylesheet"><script src="../pkgdown.js"></script><meta property="og:title" content="Fit one or more kinetic models with one or more state variables to one or -more datasets — mmkin"><meta property="og:description" content="This function calls mkinfit on all combinations of models and -datasets specified in its first two arguments."><meta name="robots" content="noindex"><!-- mathjax --><script src="https://cdnjs.cloudflare.com/ajax/libs/mathjax/2.7.5/MathJax.js" integrity="sha256-nvJJv9wWKEm88qvoQl9ekL2J+k/RWIsaSScxxlsrv8k=" crossorigin="anonymous"></script><script src="https://cdnjs.cloudflare.com/ajax/libs/mathjax/2.7.5/config/TeX-AMS-MML_HTMLorMML.js" integrity="sha256-84DKXVJXs0/F8OTMzX4UR909+jtl4G7SPypPavF+GfA=" crossorigin="anonymous"></script><!--[if lt IE 9]> -<script src="https://oss.maxcdn.com/html5shiv/3.7.3/html5shiv.min.js"></script> -<script src="https://oss.maxcdn.com/respond/1.4.2/respond.min.js"></script> -<![endif]--></head><body data-spy="scroll" data-target="#toc"> - 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Articles - - <span class="caret"></span> - </a> - <ul class="dropdown-menu" role="menu"><li> - <a href="../articles/mkin.html">Introduction to mkin</a> - </li> - <li class="divider"> - <li class="dropdown-header">Example evaluations with (generalised) nonlinear least squares</li> - <li> - <a href="../articles/FOCUS_D.html">Example evaluation of FOCUS Example Dataset D</a> - </li> - <li> - <a href="../articles/FOCUS_L.html">Example evaluation of FOCUS Laboratory Data L1 to L3</a> - </li> - <li> - <a href="../articles/web_only/FOCUS_Z.html">Example evaluation of FOCUS Example Dataset Z</a> - </li> - <li class="divider"> - <li class="dropdown-header">Example evaluations with hierarchical models (nonlinear mixed-effects models)</li> - <li> - <a href="../articles/prebuilt/2022_dmta_parent.html">Testing hierarchical parent degradation kinetics with residue data on dimethenamid and dimethenamid-P</a> - </li> - <li> - <a href="../articles/prebuilt/2022_dmta_pathway.html">Testing hierarchical pathway kinetics with residue data on dimethenamid and dimethenamid-P</a> - </li> - <li> - <a href="../articles/prebuilt/2022_cyan_pathway.html">Testing hierarchical pathway kinetics with residue data on cyantraniliprole</a> - </li> - <li> - <a href="../articles/web_only/dimethenamid_2018.html">Comparison of saemix and nlme evaluations of dimethenamid data from 2018</a> - </li> - <li> - <a href="../articles/web_only/multistart.html">Short demo of the multistart method</a> - </li> - <li class="divider"> - <li class="dropdown-header">Performance</li> - <li> - <a href="../articles/web_only/compiled_models.html">Performance benefit by using compiled model definitions in mkin</a> - </li> - <li> - <a href="../articles/web_only/benchmarks.html">Benchmark timings for mkin</a> - </li> - <li> - <a href="../articles/web_only/saem_benchmarks.html">Benchmark timings for saem.mmkin</a> - </li> - <li class="divider"> - <li class="dropdown-header">Miscellaneous</li> - <li> - <a href="../articles/twa.html">Calculation of time weighted average concentrations with mkin</a> - </li> - <li> - <a href="../articles/web_only/NAFTA_examples.html">Example evaluation of NAFTA SOP Attachment examples</a> - </li> - </ul></li> -<li> - <a href="../news/index.html">News</a> -</li> - </ul><ul class="nav navbar-nav navbar-right"><li> - <a href="https://github.com/jranke/mkin/" class="external-link"> - <span class="fab fa-github fa-lg"></span> - - </a> -</li> - </ul></div><!--/.nav-collapse --> - </div><!--/.container --> -</div><!--/.navbar --> - - - - </header><div class="row"> - <div class="col-md-9 contents"> - <div class="page-header"> - <h1>Fit one or more kinetic models with one or more state variables to one or -more datasets</h1> - <small class="dont-index">Source: <a href="https://github.com/jranke/mkin/blob/HEAD/R/mmkin.R" class="external-link"><code>R/mmkin.R</code></a></small> - <div class="hidden name"><code>mmkin.Rd</code></div> - </div> - - <div class="ref-description"> - <p>This function calls <code><a href="mkinfit.html">mkinfit</a></code> on all combinations of models and -datasets specified in its first two arguments.</p> - </div> - - <div id="ref-usage"> - <div class="sourceCode"><pre class="sourceCode r"><code><span><span class="fu">mmkin</span><span class="op">(</span></span> -<span> models <span class="op">=</span> <span class="fu"><a href="https://rdrr.io/r/base/c.html" class="external-link">c</a></span><span class="op">(</span><span class="st">"SFO"</span>, <span class="st">"FOMC"</span>, <span class="st">"DFOP"</span><span class="op">)</span>,</span> -<span> <span class="va">datasets</span>,</span> -<span> cores <span class="op">=</span> <span class="kw">if</span> <span class="op">(</span><span class="fu"><a href="https://rdrr.io/r/base/Sys.info.html" class="external-link">Sys.info</a></span><span class="op">(</span><span class="op">)</span><span class="op">[</span><span class="st">"sysname"</span><span class="op">]</span> <span class="op">==</span> <span class="st">"Windows"</span><span class="op">)</span> <span class="fl">1</span> <span class="kw">else</span> <span class="fu">parallel</span><span class="fu">::</span><span class="fu"><a href="https://rdrr.io/r/parallel/detectCores.html" class="external-link">detectCores</a></span><span class="op">(</span><span class="op">)</span>,</span> -<span> cluster <span class="op">=</span> <span class="cn">NULL</span>,</span> -<span> <span class="va">...</span></span> -<span><span class="op">)</span></span> -<span></span> -<span><span class="co"># S3 method for mmkin</span></span> -<span><span class="fu"><a href="https://rdrr.io/r/base/print.html" class="external-link">print</a></span><span class="op">(</span><span class="va">x</span>, <span class="va">...</span><span class="op">)</span></span></code></pre></div> - </div> - - <div id="arguments"> - <h2>Arguments</h2> - <dl><dt>models</dt> -<dd><p>Either a character vector of shorthand names like -<code>c("SFO", "FOMC", "DFOP", "HS", "SFORB")</code>, or an optionally named -list of <code><a href="mkinmod.html">mkinmod</a></code> objects.</p></dd> - - -<dt>datasets</dt> -<dd><p>An optionally named list of datasets suitable as observed -data for <code><a href="mkinfit.html">mkinfit</a></code>.</p></dd> - - -<dt>cores</dt> -<dd><p>The number of cores to be used for multicore processing. This -is only used when the <code>cluster</code> argument is <code>NULL</code>. On Windows -machines, cores > 1 is not supported, you need to use the <code>cluster</code> -argument to use multiple logical processors. Per default, all cores -detected by <code><a href="https://rdrr.io/r/parallel/detectCores.html" class="external-link">parallel::detectCores()</a></code> are used, except on Windows where -the default is 1.</p></dd> - - -<dt>cluster</dt> -<dd><p>A cluster as returned by <code>makeCluster</code> to be used -for parallel execution.</p></dd> - - -<dt>...</dt> -<dd><p>Not used.</p></dd> - - -<dt>x</dt> -<dd><p>An mmkin object.</p></dd> - -</dl></div> - <div id="value"> - <h2>Value</h2> - - -<p>A two-dimensional <code><a href="https://rdrr.io/r/base/array.html" class="external-link">array</a></code> of <code><a href="mkinfit.html">mkinfit</a></code></p> - - -<p>objects and/or try-errors that can be indexed using the model names for the -first index (row index) and the dataset names for the second index (column -index).</p> - </div> - <div id="see-also"> - <h2>See also</h2> - <div class="dont-index"><p><code><a href="Extract.mmkin.html">[.mmkin</a></code> for subsetting, <code><a href="plot.mmkin.html">plot.mmkin</a></code> for -plotting.</p></div> - </div> - <div id="author"> - <h2>Author</h2> - <p>Johannes Ranke</p> - </div> - - <div id="ref-examples"> - <h2>Examples</h2> - <div class="sourceCode"><pre class="sourceCode r"><code><span class="r-in"><span></span></span> -<span class="r-in"><span><span class="co"># \dontrun{</span></span></span> -<span class="r-in"><span><span class="va">m_synth_SFO_lin</span> <span class="op"><-</span> <span class="fu"><a href="mkinmod.html">mkinmod</a></span><span class="op">(</span>parent <span class="op">=</span> <span class="fu"><a href="mkinmod.html">mkinsub</a></span><span class="op">(</span><span class="st">"SFO"</span>, <span class="st">"M1"</span><span class="op">)</span>,</span></span> -<span class="r-in"><span> M1 <span class="op">=</span> <span class="fu"><a href="mkinmod.html">mkinsub</a></span><span class="op">(</span><span class="st">"SFO"</span>, <span class="st">"M2"</span><span class="op">)</span>,</span></span> -<span class="r-in"><span> M2 <span class="op">=</span> <span class="fu"><a href="mkinmod.html">mkinsub</a></span><span class="op">(</span><span class="st">"SFO"</span><span class="op">)</span>, use_of_ff <span class="op">=</span> <span class="st">"max"</span><span class="op">)</span></span></span> -<span class="r-msg co"><span class="r-pr">#></span> Temporary DLL for differentials generated and loaded</span> -<span class="r-in"><span></span></span> -<span class="r-in"><span><span class="va">m_synth_FOMC_lin</span> <span class="op"><-</span> <span class="fu"><a href="mkinmod.html">mkinmod</a></span><span class="op">(</span>parent <span class="op">=</span> <span class="fu"><a href="mkinmod.html">mkinsub</a></span><span class="op">(</span><span class="st">"FOMC"</span>, <span class="st">"M1"</span><span class="op">)</span>,</span></span> -<span class="r-in"><span> M1 <span class="op">=</span> <span class="fu"><a href="mkinmod.html">mkinsub</a></span><span class="op">(</span><span class="st">"SFO"</span>, <span class="st">"M2"</span><span class="op">)</span>,</span></span> -<span class="r-in"><span> M2 <span class="op">=</span> <span class="fu"><a href="mkinmod.html">mkinsub</a></span><span class="op">(</span><span class="st">"SFO"</span><span class="op">)</span>, use_of_ff <span class="op">=</span> <span class="st">"max"</span><span class="op">)</span></span></span> -<span class="r-msg co"><span class="r-pr">#></span> Temporary DLL for differentials generated and loaded</span> -<span class="r-in"><span></span></span> -<span class="r-in"><span><span class="va">models</span> <span class="op"><-</span> <span class="fu"><a href="https://rdrr.io/r/base/list.html" class="external-link">list</a></span><span class="op">(</span>SFO_lin <span class="op">=</span> <span class="va">m_synth_SFO_lin</span>, FOMC_lin <span class="op">=</span> <span class="va">m_synth_FOMC_lin</span><span class="op">)</span></span></span> -<span class="r-in"><span><span class="va">datasets</span> <span class="op"><-</span> <span class="fu"><a href="https://rdrr.io/r/base/lapply.html" class="external-link">lapply</a></span><span class="op">(</span><span class="va">synthetic_data_for_UBA_2014</span><span class="op">[</span><span class="fl">1</span><span class="op">:</span><span class="fl">3</span><span class="op">]</span>, <span class="kw">function</span><span class="op">(</span><span class="va">x</span><span class="op">)</span> <span class="va">x</span><span class="op">$</span><span class="va">data</span><span class="op">)</span></span></span> -<span class="r-in"><span><span class="fu"><a href="https://rdrr.io/r/base/names.html" class="external-link">names</a></span><span class="op">(</span><span class="va">datasets</span><span class="op">)</span> <span class="op"><-</span> <span class="fu"><a href="https://rdrr.io/r/base/paste.html" class="external-link">paste</a></span><span class="op">(</span><span class="st">"Dataset"</span>, <span class="fl">1</span><span class="op">:</span><span class="fl">3</span><span class="op">)</span></span></span> -<span class="r-in"><span></span></span> -<span class="r-in"><span><span class="va">time_default</span> <span class="op"><-</span> <span class="fu"><a href="https://rdrr.io/r/base/system.time.html" class="external-link">system.time</a></span><span class="op">(</span><span class="va">fits.0</span> <span class="op"><-</span> <span class="fu">mmkin</span><span class="op">(</span><span class="va">models</span>, <span class="va">datasets</span>, quiet <span class="op">=</span> <span class="cn">TRUE</span><span class="op">)</span><span class="op">)</span></span></span> -<span class="r-in"><span><span class="va">time_1</span> <span class="op"><-</span> <span class="fu"><a href="https://rdrr.io/r/base/system.time.html" class="external-link">system.time</a></span><span class="op">(</span><span class="va">fits.4</span> <span class="op"><-</span> <span class="fu">mmkin</span><span class="op">(</span><span class="va">models</span>, <span class="va">datasets</span>, cores <span class="op">=</span> <span class="fl">1</span>, quiet <span class="op">=</span> <span class="cn">TRUE</span><span class="op">)</span><span class="op">)</span></span></span> -<span class="r-in"><span></span></span> -<span class="r-in"><span><span class="va">time_default</span></span></span> -<span class="r-out co"><span class="r-pr">#></span> user system elapsed </span> -<span class="r-out co"><span class="r-pr">#></span> 1.560 0.668 0.742 </span> -<span class="r-in"><span><span class="va">time_1</span></span></span> -<span class="r-out co"><span class="r-pr">#></span> user system elapsed </span> -<span class="r-out co"><span class="r-pr">#></span> 2.033 0.004 2.037 </span> -<span class="r-in"><span></span></span> -<span class="r-in"><span><span class="fu"><a href="endpoints.html">endpoints</a></span><span class="op">(</span><span class="va">fits.0</span><span class="op">[[</span><span class="st">"SFO_lin"</span>, <span class="fl">2</span><span class="op">]</span><span class="op">]</span><span class="op">)</span></span></span> -<span class="r-out co"><span class="r-pr">#></span> $ff</span> -<span class="r-out co"><span class="r-pr">#></span> parent_M1 parent_sink M1_M2 M1_sink </span> -<span class="r-out co"><span class="r-pr">#></span> 0.7340481 0.2659519 0.7505683 0.2494317 </span> -<span class="r-out co"><span class="r-pr">#></span> </span> -<span class="r-out co"><span class="r-pr">#></span> $distimes</span> -<span class="r-out co"><span class="r-pr">#></span> DT50 DT90</span> -<span class="r-out co"><span class="r-pr">#></span> parent 0.877769 2.915885</span> -<span class="r-out co"><span class="r-pr">#></span> M1 2.325744 7.725956</span> -<span class="r-out co"><span class="r-pr">#></span> M2 33.720100 112.015749</span> -<span class="r-out co"><span class="r-pr">#></span> </span> -<span class="r-in"><span></span></span> -<span class="r-in"><span><span class="co"># plot.mkinfit handles rows or columns of mmkin result objects</span></span></span> -<span class="r-in"><span><span class="fu"><a href="https://rdrr.io/r/graphics/plot.default.html" class="external-link">plot</a></span><span class="op">(</span><span class="va">fits.0</span><span class="op">[</span><span class="fl">1</span>, <span class="op">]</span><span class="op">)</span></span></span> -<span class="r-plt img"><img src="mmkin-1.png" alt="" width="700" height="433"></span> -<span class="r-in"><span><span class="fu"><a href="https://rdrr.io/r/graphics/plot.default.html" class="external-link">plot</a></span><span class="op">(</span><span class="va">fits.0</span><span class="op">[</span><span class="fl">1</span>, <span class="op">]</span>, obs_var <span class="op">=</span> <span class="fu"><a href="https://rdrr.io/r/base/c.html" class="external-link">c</a></span><span class="op">(</span><span class="st">"M1"</span>, <span class="st">"M2"</span><span class="op">)</span><span class="op">)</span></span></span> -<span class="r-plt img"><img src="mmkin-2.png" alt="" width="700" height="433"></span> -<span class="r-in"><span><span class="fu"><a href="https://rdrr.io/r/graphics/plot.default.html" class="external-link">plot</a></span><span class="op">(</span><span class="va">fits.0</span><span class="op">[</span>, <span class="fl">1</span><span class="op">]</span><span class="op">)</span></span></span> -<span class="r-plt img"><img src="mmkin-3.png" alt="" width="700" height="433"></span> -<span class="r-in"><span><span class="co"># Use double brackets to extract a single mkinfit object, which will be plotted</span></span></span> -<span class="r-in"><span><span class="co"># by plot.mkinfit and can be plotted using plot_sep</span></span></span> -<span class="r-in"><span><span class="fu"><a href="https://rdrr.io/r/graphics/plot.default.html" class="external-link">plot</a></span><span class="op">(</span><span class="va">fits.0</span><span class="op">[[</span><span class="fl">1</span>, <span class="fl">1</span><span class="op">]</span><span class="op">]</span>, sep_obs <span class="op">=</span> <span class="cn">TRUE</span>, show_residuals <span class="op">=</span> <span class="cn">TRUE</span>, show_errmin <span class="op">=</span> <span class="cn">TRUE</span><span class="op">)</span></span></span> -<span class="r-plt img"><img src="mmkin-4.png" alt="" width="700" height="433"></span> -<span class="r-in"><span><span class="fu"><a href="plot.mkinfit.html">plot_sep</a></span><span class="op">(</span><span class="va">fits.0</span><span class="op">[[</span><span class="fl">1</span>, <span class="fl">1</span><span class="op">]</span><span class="op">]</span><span class="op">)</span></span></span> -<span class="r-in"><span><span class="co"># Plotting with mmkin (single brackets, extracting an mmkin object) does not</span></span></span> -<span class="r-in"><span><span class="co"># allow to plot the observed variables separately</span></span></span> -<span class="r-in"><span><span class="fu"><a href="https://rdrr.io/r/graphics/plot.default.html" class="external-link">plot</a></span><span class="op">(</span><span class="va">fits.0</span><span class="op">[</span><span class="fl">1</span>, <span class="fl">1</span><span class="op">]</span><span class="op">)</span></span></span> -<span class="r-plt img"><img src="mmkin-5.png" alt="" width="700" height="433"></span> -<span class="r-in"><span></span></span> -<span class="r-in"><span><span class="co"># On Windows, we can use multiple cores by making a cluster first</span></span></span> -<span class="r-in"><span><span class="va">cl</span> <span class="op"><-</span> <span class="fu">parallel</span><span class="fu">::</span><span class="fu"><a href="https://rdrr.io/r/parallel/makeCluster.html" class="external-link">makePSOCKcluster</a></span><span class="op">(</span><span class="fl">12</span><span class="op">)</span></span></span> -<span class="r-in"><span><span class="va">f</span> <span class="op"><-</span> <span class="fu">mmkin</span><span class="op">(</span><span class="fu"><a href="https://rdrr.io/r/base/c.html" class="external-link">c</a></span><span class="op">(</span><span class="st">"SFO"</span>, <span class="st">"FOMC"</span>, <span class="st">"DFOP"</span><span class="op">)</span>,</span></span> -<span class="r-in"><span> <span class="fu"><a href="https://rdrr.io/r/base/list.html" class="external-link">list</a></span><span class="op">(</span>A <span class="op">=</span> <span class="va">FOCUS_2006_A</span>, B <span class="op">=</span> <span class="va">FOCUS_2006_B</span>, C <span class="op">=</span> <span class="va">FOCUS_2006_C</span>, D <span class="op">=</span> <span class="va">FOCUS_2006_D</span><span class="op">)</span>,</span></span> -<span class="r-in"><span> cluster <span class="op">=</span> <span class="va">cl</span>, quiet <span class="op">=</span> <span class="cn">TRUE</span><span class="op">)</span></span></span> -<span class="r-in"><span><span class="fu"><a href="https://rdrr.io/r/base/print.html" class="external-link">print</a></span><span class="op">(</span><span class="va">f</span><span class="op">)</span></span></span> -<span class="r-out co"><span class="r-pr">#></span> <mmkin> object</span> -<span class="r-out co"><span class="r-pr">#></span> Status of individual fits:</span> -<span class="r-out co"><span class="r-pr">#></span> </span> -<span class="r-out co"><span class="r-pr">#></span> dataset</span> -<span class="r-out co"><span class="r-pr">#></span> model A B C D </span> -<span class="r-out co"><span class="r-pr">#></span> SFO OK OK OK OK</span> -<span class="r-out co"><span class="r-pr">#></span> FOMC OK OK OK OK</span> -<span class="r-out co"><span class="r-pr">#></span> DFOP OK OK OK OK</span> -<span class="r-out co"><span class="r-pr">#></span> </span> -<span class="r-out co"><span class="r-pr">#></span> OK: No warnings</span> -<span class="r-in"><span><span class="co"># We get false convergence for the FOMC fit to FOCUS_2006_A because this</span></span></span> -<span class="r-in"><span><span class="co"># dataset is really SFO, and the FOMC fit is overparameterised</span></span></span> -<span class="r-in"><span><span class="fu">parallel</span><span class="fu">::</span><span class="fu"><a href="https://rdrr.io/r/parallel/makeCluster.html" class="external-link">stopCluster</a></span><span class="op">(</span><span class="va">cl</span><span class="op">)</span></span></span> -<span class="r-in"><span><span class="co"># }</span></span></span> -<span class="r-in"><span></span></span> -</code></pre></div> - </div> - </div> - <div class="col-md-3 hidden-xs hidden-sm" id="pkgdown-sidebar"> - <nav id="toc" data-toggle="toc" class="sticky-top"><h2 data-toc-skip>Contents</h2> - </nav></div> -</div> - - - <footer><div class="copyright"> - <p></p><p>Developed by Johannes Ranke.</p> -</div> - -<div 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