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<html><head><meta http-equiv="Content-Type" content="text/html; charset=UTF-8"><title>Polynomials</title><meta name="generator" content="DocBook XSL Stylesheets Vsnapshot"><link rel="home" href="index.html" title="Genius-Handbuch"><link rel="up" href="ch11.html" title="Chapter 11. Liste der GEL-Funktionen"><link rel="prev" href="ch11s14.html" title="Statistik"><link rel="next" href="ch11s16.html" title="Mengenlehre"></head><body bgcolor="white" text="black" link="#0000FF" vlink="#840084" alink="#0000FF"><div class="navheader"><table width="100%" summary="Navigation header"><tr><th colspan="3" align="center">Polynomials</th></tr><tr><td width="20%" align="left"><a accesskey="p" href="ch11s14.html">Prev</a> </td><th width="60%" align="center">Chapter 11. Liste der GEL-Funktionen</th><td width="20%" align="right"> <a accesskey="n" href="ch11s16.html">Next</a></td></tr></table><hr></div><div class="sect1"><div class="titlepage"><div><div><h2 class="title" style="clear: both"><a name="genius-gel-function-list-polynomials"></a>Polynomials</h2></div></div></div><div class="variablelist"><dl class="variablelist"><dt><span lang="en" class="term"><a name="gel-function-AddPoly"></a>AddPoly</span></dt><dd><pre class="synopsis">AddPoly (p1,p2)</pre><p lang="en">Add two polynomials (vectors).</p></dd><dt><span lang="en" class="term"><a name="gel-function-DividePoly"></a>DividePoly</span></dt><dd><pre class="synopsis">DividePoly (p,q,&r)</pre><p lang="en">Divide two polynomials (as vectors) using long division.
Returns the quotient
of the two polynomials. The optional argument <code class="varname">r</code>
is used to return the remainder. The remainder will have lower
degree than <code class="varname">q</code>.</p><p lang="en">
See
<a class="ulink" href="http://planetmath.org/PolynomialLongDivision" target="_top">Planetmath</a> for more information.
</p></dd><dt><span lang="en" class="term"><a name="gel-function-IsPoly"></a>IsPoly</span></dt><dd><pre class="synopsis">IsPoly (p)</pre><p lang="en">Check if a vector is usable as a polynomial.</p></dd><dt><span lang="en" class="term"><a name="gel-function-MultiplyPoly"></a>MultiplyPoly</span></dt><dd><pre class="synopsis">MultiplyPoly (p1,p2)</pre><p lang="en">Multiply two polynomials (as vectors).</p></dd><dt><span lang="en" class="term"><a name="gel-function-NewtonsMethodPoly"></a>NewtonsMethodPoly</span></dt><dd><pre class="synopsis">NewtonsMethodPoly (poly,guess,epsilon,maxn)</pre><p lang="en">Find a root of a polynomial using Newton's method. <code class="varname">poly</code> is
the polynomial as a vector and <code class="varname">guess</code> is the initial
guess. The function returns after two successive values are
within <code class="varname">epsilon</code> of each other, or after <code class="varname">maxn</code> tries, in which case the function returns <code class="constant">null</code> indicating failure.
</p><p lang="en">
See also <a class="link" href="ch11s13.html#gel-function-NewtonsMethod"><code class="function">NewtonsMethod</code></a>.
</p><p lang="en">
Example to find the square root of 10:
</p><pre lang="en" class="screen"><code class="prompt">genius></code> <strong class="userinput"><code>NewtonsMethodPoly([-10,0,1],3,10^-10,100)</code></strong>
</pre><p lang="en">
</p><p lang="en">
See
<a class="ulink" href="https://en.wikipedia.org/wiki/Newtons_method" target="_top">Wikipedia</a> for more information.
</p></dd><dt><span lang="en" class="term"><a name="gel-function-Poly2ndDerivative"></a>Poly2ndDerivative</span></dt><dd><pre class="synopsis">Poly2ndDerivative (p)</pre><p lang="en">Take second polynomial (as vector) derivative.</p></dd><dt><span lang="en" class="term"><a name="gel-function-PolyDerivative"></a>PolyDerivative</span></dt><dd><pre class="synopsis">PolyDerivative (p)</pre><p lang="en">Take polynomial (as vector) derivative.</p></dd><dt><span lang="en" class="term"><a name="gel-function-PolyToFunction"></a>PolyToFunction</span></dt><dd><pre class="synopsis">PolyToFunction (p)</pre><p lang="en">Make function out of a polynomial (as vector).</p></dd><dt><span lang="en" class="term"><a name="gel-function-PolyToString"></a>PolyToString</span></dt><dd><pre class="synopsis">PolyToString (p,var...)</pre><p lang="en">Make string out of a polynomial (as vector).</p></dd><dt><span lang="en" class="term"><a name="gel-function-SubtractPoly"></a>SubtractPoly</span></dt><dd><pre class="synopsis">SubtractPoly (p1,p2)</pre><p lang="en">Subtract two polynomials (as vectors).</p></dd><dt><span lang="en" class="term"><a name="gel-function-TrimPoly"></a>TrimPoly</span></dt><dd><pre class="synopsis">TrimPoly (p)</pre><p lang="en">Trim zeros from a polynomial (as vector).</p></dd></dl></div></div><div class="navfooter"><hr><table width="100%" summary="Navigation footer"><tr><td width="40%" align="left"><a accesskey="p" href="ch11s14.html">Prev</a> </td><td width="20%" align="center"><a accesskey="u" href="ch11.html">Up</a></td><td width="40%" align="right"> <a accesskey="n" href="ch11s16.html">Next</a></td></tr><tr><td width="40%" align="left" valign="top">Statistik </td><td width="20%" align="center"><a accesskey="h" href="index.html">Home</a></td><td width="40%" align="right" valign="top"> Mengenlehre</td></tr></table></div></body></html>
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