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docs/2_35/cmdstan-guide-2_35.pdf

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docs/2_35/functions-reference/functions_index.html

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docs/2_35/reference-manual-2_35.pdf

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docs/2_35/reference-manual/expressions.html

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@@ -1571,7 +1571,7 @@ <h3 class="unnumbered anchored" data-anchor-id="errors-due-to-chain-rule">Errors
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<span id="cb46-4"><a href="#cb46-4" aria-hidden="true" tabindex="-1"></a><span class="kw">model</span> {</span>
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<span id="cb46-5"><a href="#cb46-5" aria-hidden="true" tabindex="-1"></a> x ~ normal(sqrt(x - x), <span class="dv">1</span>);</span>
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<span id="cb46-6"><a href="#cb46-6" aria-hidden="true" tabindex="-1"></a>}</span></code><button title="Copy to Clipboard" class="code-copy-button"><i class="bi"></i></button></pre></div>
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<p>Algebraically, <a href="the distribution statement">statements.qmd#distribution-statements.section</a> in the model could be reduced to</p>
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<p>Algebraically, <a href="../reference-manual/statements.html#distribution-statements.section">the distribution statement</a> in the model could be reduced to</p>
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<div class="sourceCode" id="cb47"><pre class="sourceCode stan code-with-copy"><code class="sourceCode stan"><span id="cb47-1"><a href="#cb47-1" aria-hidden="true" tabindex="-1"></a> x ~ normal(<span class="dv">0</span>, <span class="dv">1</span>);</span></code><button title="Copy to Clipboard" class="code-copy-button"><i class="bi"></i></button></pre></div>
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<p>and it would seem the model should produce unit normal draws for <code>x</code>. But rather than canceling, the expression <code>sqrt(x - x)</code> causes a problem for derivatives. The cause is the mechanistic evaluation of the chain rule,</p>
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<p><span class="math display">\[

docs/2_35/search.json

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docs/2_35/stan-users-guide-2_35.pdf

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docs/2_35/stan-users-guide/posterior-predictive-checks.html

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</div>
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</nav>
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</div> <!-- /content -->
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<footer class="footer"><div class="nav-footer"><div class="nav-footer-center"><div class="toc-actions d-sm-block d-md-none"><ul><li><a href="https://github.com/stan-dev/docs/edit/master/src/stan-users-guide/posterior-predictive-checks.qmd" class="toc-action"><i class="bi bi-github"></i>Edit this page</a></li><li><a href="https://github.com/stan-dev/docs/issues/new" class="toc-action"><i class="bi empty"></i>Report an issue</a></li></ul></div></div></div></footer><script>var lightboxQuarto = GLightbox({"openEffect":"zoom","closeEffect":"zoom","descPosition":"bottom","selector":".lightbox","loop":false});
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<footer class="footer"><div class="nav-footer"><div class="nav-footer-center"><div class="toc-actions d-sm-block d-md-none"><ul><li><a href="https://github.com/stan-dev/docs/edit/master/src/stan-users-guide/posterior-predictive-checks.qmd" class="toc-action"><i class="bi bi-github"></i>Edit this page</a></li><li><a href="https://github.com/stan-dev/docs/issues/new" class="toc-action"><i class="bi empty"></i>Report an issue</a></li></ul></div></div></div></footer><script>var lightboxQuarto = GLightbox({"closeEffect":"zoom","descPosition":"bottom","loop":false,"openEffect":"zoom","selector":".lightbox"});
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window.onload = () => {
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docs/functions-reference/functions_index.html

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docs/reference-manual/expressions.html

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@@ -1571,7 +1571,7 @@ <h3 class="unnumbered anchored" data-anchor-id="errors-due-to-chain-rule">Errors
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<span id="cb46-4"><a href="#cb46-4" aria-hidden="true" tabindex="-1"></a><span class="kw">model</span> {</span>
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<span id="cb46-5"><a href="#cb46-5" aria-hidden="true" tabindex="-1"></a> x ~ normal(sqrt(x - x), <span class="dv">1</span>);</span>
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<span id="cb46-6"><a href="#cb46-6" aria-hidden="true" tabindex="-1"></a>}</span></code><button title="Copy to Clipboard" class="code-copy-button"><i class="bi"></i></button></pre></div>
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<p>Algebraically, <a href="the distribution statement">statements.qmd#distribution-statements.section</a> in the model could be reduced to</p>
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<p>Algebraically, <a href="../reference-manual/statements.html#distribution-statements.section">the distribution statement</a> in the model could be reduced to</p>
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<div class="sourceCode" id="cb47"><pre class="sourceCode stan code-with-copy"><code class="sourceCode stan"><span id="cb47-1"><a href="#cb47-1" aria-hidden="true" tabindex="-1"></a> x ~ normal(<span class="dv">0</span>, <span class="dv">1</span>);</span></code><button title="Copy to Clipboard" class="code-copy-button"><i class="bi"></i></button></pre></div>
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<p>and it would seem the model should produce unit normal draws for <code>x</code>. But rather than canceling, the expression <code>sqrt(x - x)</code> causes a problem for derivatives. The cause is the mechanistic evaluation of the chain rule,</p>
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<p><span class="math display">\[

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