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<a name="Module:Scientific.Functions.Romberg"><h1>Module Scientific.Functions.Romberg</h1></a>
<hr width=70%>
<h2>Functions</h2>
<ul>
<li> <p>
<a name="Function:Scientific.Functions.Romberg.trapezoid"><b><i>trapezoid</i></b>(<i>function</i>, <i>interval</i>, <i>numtraps</i>)</a><br>
</p>
<p>Returns the integral of <i>function</i> (a function of one variable)
over <i>interval</i> (a sequence of length two containing the lower and
upper limit of the integration interval), calculated using the
trapezoidal rule using <i>numtraps</i> trapezoids.</p>
Example:
<pre>
from Scientific.Functions.Romberg import romberg
from Numeric import pi
romberg(tan, (0.0, pi/3.0))
</pre>
<p> yields <tt>0.693147180562</tt>
</p><li> <p>
<a name="Function:Scientific.Functions.Romberg.romberg"><b><i>romberg</i></b>(<i>function</i>, <i>interval</i>, <i>accuracy</i>=<tt>1e-07</tt>, <i>show</i>=<tt>0</tt>)</a><br>
</p>
<p>Returns the integral of <i>function</i> (a function of one variable)
over <i>interval</i> (a sequence of length two containing the lower and
upper limit of the integration interval), calculated using
Romberg integration up to the specified <i>accuracy</i>. If <i>show</i> is 1,
the triangular array of the intermediate results will be printed.</p></ul>
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