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    <h1>Create decline time series for multiple applications</h1>
    
    <div class="hidden name"><code>sawtooth.Rd</code></div>
    </div>

    <div class="ref-description">
    <p>If the application pattern is specified in <code>applications</code>, 
<code>n</code> and <code>i</code> are disregarded.</p>
    </div>

    <pre class="usage"><span class='fu'>sawtooth</span>(
  <span class='no'>x</span>,
  <span class='kw'>n</span> <span class='kw'>=</span> <span class='fl'>1</span>,
  <span class='kw'>i</span> <span class='kw'>=</span> <span class='fl'>365</span>,
  <span class='kw'>applications</span> <span class='kw'>=</span> <span class='fu'><a href='https://rdrr.io/r/base/data.frame.html'>data.frame</a></span>(<span class='kw'>time</span> <span class='kw'>=</span> <span class='fu'><a href='https://rdrr.io/r/base/seq.html'>seq</a></span>(<span class='fl'>0</span>, (<span class='no'>n</span> - <span class='fl'>1</span>) * <span class='no'>i</span>, <span class='kw'>length.out</span> <span class='kw'>=</span> <span class='no'>n</span>), <span class='kw'>amount</span> <span class='kw'>=</span> <span class='fl'>1</span>)
)</pre>

    <h2 class="hasAnchor" id="arguments"><a class="anchor" href="#arguments"></a>Arguments</h2>
    <table class="ref-arguments">
    <colgroup><col class="name" /><col class="desc" /></colgroup>
    <tr>
      <th>x</th>
      <td><p>A <code><a href='one_box.html'>one_box</a></code> object</p></td>
    </tr>
    <tr>
      <th>n</th>
      <td><p>The number of applications. If <code>applications</code> is specified, <code>n</code> is ignored</p></td>
    </tr>
    <tr>
      <th>i</th>
      <td><p>The interval between applications. If <code>applications</code> is specified, <code>i</code>
is ignored</p></td>
    </tr>
    <tr>
      <th>applications</th>
      <td><p>A data frame holding the application times in the first column and
the corresponding amounts applied in the second column.</p></td>
    </tr>
    </table>


    <h2 class="hasAnchor" id="examples"><a class="anchor" href="#examples"></a>Examples</h2>
    <pre class="examples"><div class='input'><span class='no'>applications</span> <span class='kw'>=</span> <span class='fu'><a href='https://rdrr.io/r/base/data.frame.html'>data.frame</a></span>(<span class='kw'>time</span> <span class='kw'>=</span> <span class='fu'><a href='https://rdrr.io/r/base/seq.html'>seq</a></span>(<span class='fl'>0</span>, <span class='fl'>14</span>, <span class='kw'>by</span> <span class='kw'>=</span> <span class='fl'>7</span>), <span class='kw'>amount</span> <span class='kw'>=</span> <span class='fu'><a href='https://rdrr.io/r/base/c.html'>c</a></span>(<span class='fl'>1</span>, <span class='fl'>2</span>, <span class='fl'>3</span>))
<span class='no'>pred</span> <span class='kw'>&lt;-</span> <span class='fu'><a href='one_box.html'>one_box</a></span>(<span class='fl'>10</span>)
<span class='fu'><a href='https://rdrr.io/r/graphics/plot.html'>plot</a></span>(<span class='fu'>sawtooth</span>(<span class='no'>pred</span>, <span class='kw'>applications</span> <span class='kw'>=</span> <span class='no'>applications</span>))</div><div class='img'><img src='sawtooth-1.png' alt='' width='700' height='433' /></div><div class='input'>
<span class='no'>m_2</span> <span class='kw'>&lt;-</span> <span class='fu'>mkinmod</span>(<span class='kw'>parent</span> <span class='kw'>=</span> <span class='fu'>mkinsub</span>(<span class='st'>"SFO"</span>, <span class='st'>"m1"</span>), <span class='kw'>m1</span> <span class='kw'>=</span> <span class='fu'>mkinsub</span>(<span class='st'>"SFO"</span>))</div><div class='output co'>#&gt; <span class='message'>Successfully compiled differential equation model from auto-generated C code.</span></div><div class='input'><span class='no'>fit_2</span> <span class='kw'>&lt;-</span> <span class='fu'>mkinfit</span>(<span class='no'>m_2</span>, <span class='no'>FOCUS_2006_D</span>, <span class='kw'>quiet</span> <span class='kw'>=</span> <span class='fl'>TRUE</span>)</div><div class='output co'>#&gt; <span class='warning'>Warning: Observations with value of zero were removed from the data</span></div><div class='input'><span class='no'>pred_2</span> <span class='kw'>&lt;-</span> <span class='fu'><a href='one_box.html'>one_box</a></span>(<span class='no'>fit_2</span>, <span class='kw'>ini</span> <span class='kw'>=</span> <span class='fl'>1</span>)
<span class='no'>pred_2_saw</span> <span class='kw'>&lt;-</span> <span class='fu'>sawtooth</span>(<span class='no'>pred_2</span>, <span class='fl'>2</span>, <span class='fl'>7</span>)
<span class='fu'><a href='https://rdrr.io/r/graphics/plot.html'>plot</a></span>(<span class='no'>pred_2_saw</span>, <span class='kw'>max_twa</span> <span class='kw'>=</span> <span class='fl'>21</span>, <span class='kw'>max_twa_var</span> <span class='kw'>=</span> <span class='st'>"m1"</span>)</div><div class='img'><img src='sawtooth-2.png' alt='' width='700' height='433' /></div><div class='input'>
<span class='fu'><a href='max_twa.html'>max_twa</a></span>(<span class='no'>pred_2_saw</span>)</div><div class='output co'>#&gt; $max
#&gt;    parent        m1 
#&gt; 0.7834480 0.8617048 
#&gt; 
#&gt; $window_start
#&gt; parent     m1 
#&gt;   0.00  26.85 
#&gt; 
#&gt; $window_end
#&gt; parent     m1 
#&gt;  21.00  47.85 
#&gt; </div></pre>
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    <h2>Contents</h2>
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      <li><a href="#arguments">Arguments</a></li>
      <li><a href="#examples">Examples</a></li>
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