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-<div class=" highlight hl-ipython2"><pre><span></span><span class="n">define</span><span class="p">(</span><span class="s1">&#39;codireco == cons dip rest cons&#39;</span><span class="p">)</span>
-<span class="n">define</span><span class="p">(</span><span class="s1">&#39;make_generator == [codireco] ccons&#39;</span><span class="p">)</span>
-<span class="n">define</span><span class="p">(</span><span class="s1">&#39;ccons == cons cons&#39;</span><span class="p">)</span>
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-<h2 id="Finding-Consecutive-Approximations-within-a-Tolerance">Finding Consecutive Approximations within a Tolerance<a class="anchor-link" href="#Finding-Consecutive-Approximations-within-a-Tolerance">&#182;</a></h2><blockquote><p>The remainder of a square root finder is a function <em>within</em>, which takes a tolerance and a list of approximations and looks down the list for two successive approximations that differ by no more than the given tolerance.</p>
+<h2 id="Finding-Consecutive-Approximations-within-a-Tolerance">Finding Consecutive Approximations within a Tolerance<a class="anchor-link" href="#Finding-Consecutive-Approximations-within-a-Tolerance">&#182;</a></h2><p>From <a href="https://www.cs.kent.ac.uk/people/staff/dat/miranda/whyfp90.pdf">"Why Functional Programming Matters" by John Hughes</a>:</p>
+<blockquote><p>The remainder of a square root finder is a function <em>within</em>, which takes a tolerance and a list of approximations and looks down the list for two successive approximations that differ by no more than the given tolerance.</p>
 </blockquote>
-<p>From <a href="https://www.cs.kent.ac.uk/people/staff/dat/miranda/whyfp90.pdf">"Why Functional Programming Matters" by John Hughes</a></p>
 <p>(And note that by “list” he means a lazily-evaluated list.)</p>
 <p>Using the <em>output</em> <code>[a G]</code> of the above generator for square root approximations, and further assuming that the first term a has been generated already and epsilon ε is handy on the stack...</p>
 
@@ -12002,7 +11987,7 @@ abs(a-b)            ε                   &lt;=
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 <ol>
 <li>Discard a.</li>
-<li>Use x combinator to generate next term from G.</li>
-<li>Run within with <code>i</code> (it is a <code>primrec</code> function.)</li>
+<li>Use <code>x</code> combinator to generate next term from <code>G</code>.</li>
+<li>Run <code>within</code> with <code>i</code> (it is a <code>primrec</code> function.)</li>
 </ol>
 <p>Pretty straightforward:</p>
 
@@ -12068,7 +12053,7 @@ b [c G] ε within</code></pre>
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 <div class=" highlight hl-ipython2"><pre><span></span><span class="n">define</span><span class="p">(</span><span class="s1">&#39;within == x 0.000000001 [_within_P] [_within_B] [_within_R] primrec&#39;</span><span class="p">)</span>
@@ -12104,6 +12089,46 @@ a [b G] ε ...</code></pre>
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+<p>Try it out...</p>
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+<div class=" highlight hl-ipython2"><pre><span></span><span class="n">J</span><span class="p">(</span><span class="s1">&#39;36 sqrt&#39;</span><span class="p">)</span>
+</pre></div>
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+<pre>6.0
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+<p>Check it.</p>
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+<div class=" highlight hl-ipython2"><pre><span></span><span class="kn">from</span> <span class="nn">math</span> <span class="kn">import</span> <span class="n">sqrt</span>
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+<span class="n">sqrt</span><span class="p">(</span><span class="mi">23</span><span class="p">)</span>
+</pre></div>
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+<pre>4.795831523312719</pre>
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