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<h1><span class="yiyi-st" id="yiyi-22">Legendre Module (<code class="xref py py-mod docutils literal"><span class="pre">numpy.polynomial.legendre</span></code>)</span></h1>
<blockquote>
<p>原文：<a href="https://docs.scipy.org/doc/numpy/reference/routines.polynomials.legendre.html">https://docs.scipy.org/doc/numpy/reference/routines.polynomials.legendre.html</a></p>
<p>译者：<a href="https://github.com/wizardforcel">飞龙</a> <a href="http://usyiyi.cn/">UsyiyiCN</a></p>
<p>校对：（虚位以待）</p>
</blockquote>
<div class="versionadded">
<p><span class="yiyi-st" id="yiyi-23"><span class="versionmodified">版本1.6.0中的新功能。</span></span></p>
</div>
<p><span class="yiyi-st" id="yiyi-24">此模块提供了许多对处理Legendre系列有用的对象（主要是函数），包括封装了常用算术运算的<a class="reference internal" href="generated/numpy.polynomial.legendre.Legendre.html#numpy.polynomial.legendre.Legendre" title="numpy.polynomial.legendre.Legendre"><code class="xref py py-obj docutils literal"><span class="pre">Legendre</span></code></a>类。</span><span class="yiyi-st" id="yiyi-25">（关于此模块如何表示和使用这样的多项式的一般信息在其“父”子包的文档字符串中，<code class="xref py py-obj docutils literal"><span class="pre">numpy.polynomial</span></code>）。</span></p>
<div class="section" id="legendre-class">
<h2><span class="yiyi-st" id="yiyi-26">Legendre Class</span></h2>
<table border="1" class="longtable docutils">
<colgroup>
<col width="10%">
<col width="90%">
</colgroup>
<tbody valign="top">
<tr class="row-odd"><td><span class="yiyi-st" id="yiyi-27"><a class="reference internal" href="generated/numpy.polynomial.legendre.Legendre.html#numpy.polynomial.legendre.Legendre" title="numpy.polynomial.legendre.Legendre"><code class="xref py py-obj docutils literal"><span class="pre">Legendre</span></code></a>（coef [，domain，window]）</span></td>
<td><span class="yiyi-st" id="yiyi-28">Legendre系列类。</span></td>
</tr>
</tbody>
</table>
</div>
<div class="section" id="basics">
<h2><span class="yiyi-st" id="yiyi-29">Basics</span></h2>
<table border="1" class="longtable docutils">
<colgroup>
<col width="10%">
<col width="90%">
</colgroup>
<tbody valign="top">
<tr class="row-odd"><td><span class="yiyi-st" id="yiyi-30"><a class="reference internal" href="generated/numpy.polynomial.legendre.legval.html#numpy.polynomial.legendre.legval" title="numpy.polynomial.legendre.legval"><code class="xref py py-obj docutils literal"><span class="pre">legval</span></code></a>（x，c [，tensor]）</span></td>
<td><span class="yiyi-st" id="yiyi-31">在点x评估Legendre系列。</span></td>
</tr>
<tr class="row-even"><td><span class="yiyi-st" id="yiyi-32"><a class="reference internal" href="generated/numpy.polynomial.legendre.legval2d.html#numpy.polynomial.legendre.legval2d" title="numpy.polynomial.legendre.legval2d"><code class="xref py py-obj docutils literal"><span class="pre">legval2d</span></code></a>（x，y，c）</span></td>
<td><span class="yiyi-st" id="yiyi-33">在点（x，y）评估2-D Legendre系列。</span></td>
</tr>
<tr class="row-odd"><td><span class="yiyi-st" id="yiyi-34"><a class="reference internal" href="generated/numpy.polynomial.legendre.legval3d.html#numpy.polynomial.legendre.legval3d" title="numpy.polynomial.legendre.legval3d"><code class="xref py py-obj docutils literal"><span class="pre">legval3d</span></code></a>（x，y，z，c）</span></td>
<td><span class="yiyi-st" id="yiyi-35">在点（x，y，z）评估3-D Legendre系列。</span></td>
</tr>
<tr class="row-even"><td><span class="yiyi-st" id="yiyi-36"><a class="reference internal" href="generated/numpy.polynomial.legendre.leggrid2d.html#numpy.polynomial.legendre.leggrid2d" title="numpy.polynomial.legendre.leggrid2d"><code class="xref py py-obj docutils literal"><span class="pre">leggrid2d</span></code></a>（x，y，c）</span></td>
<td><span class="yiyi-st" id="yiyi-37">在x和y的笛卡尔乘积上评估2-D Legendre系列。</span></td>
</tr>
<tr class="row-odd"><td><span class="yiyi-st" id="yiyi-38"><a class="reference internal" href="generated/numpy.polynomial.legendre.leggrid3d.html#numpy.polynomial.legendre.leggrid3d" title="numpy.polynomial.legendre.leggrid3d"><code class="xref py py-obj docutils literal"><span class="pre">leggrid3d</span></code></a>（x，y，z，c）</span></td>
<td><span class="yiyi-st" id="yiyi-39">在x，y和z的笛卡尔乘积上评估3-D Legendre系列。</span></td>
</tr>
<tr class="row-even"><td><span class="yiyi-st" id="yiyi-40"><a class="reference internal" href="generated/numpy.polynomial.legendre.legroots.html#numpy.polynomial.legendre.legroots" title="numpy.polynomial.legendre.legroots"><code class="xref py py-obj docutils literal"><span class="pre">legroots</span></code></a>（c）</span></td>
<td><span class="yiyi-st" id="yiyi-41">计算一个Legendre系列的根。</span></td>
</tr>
<tr class="row-odd"><td><span class="yiyi-st" id="yiyi-42"><a class="reference internal" href="generated/numpy.polynomial.legendre.legfromroots.html#numpy.polynomial.legendre.legfromroots" title="numpy.polynomial.legendre.legfromroots"><code class="xref py py-obj docutils literal"><span class="pre">legfromroots</span></code></a>（根）</span></td>
<td><span class="yiyi-st" id="yiyi-43">生成具有给定根的Legendre系列。</span></td>
</tr>
</tbody>
</table>
</div>
<div class="section" id="fitting">
<h2><span class="yiyi-st" id="yiyi-44">Fitting</span></h2>
<table border="1" class="longtable docutils">
<colgroup>
<col width="10%">
<col width="90%">
</colgroup>
<tbody valign="top">
<tr class="row-odd"><td><span class="yiyi-st" id="yiyi-45"><a class="reference internal" href="generated/numpy.polynomial.legendre.legfit.html#numpy.polynomial.legendre.legfit" title="numpy.polynomial.legendre.legfit"><code class="xref py py-obj docutils literal"><span class="pre">legfit</span></code></a>（x，y，deg [，rcond，full，w]）</span></td>
<td><span class="yiyi-st" id="yiyi-46">Legendre系列的最小二乘法拟合数据。</span></td>
</tr>
<tr class="row-even"><td><span class="yiyi-st" id="yiyi-47"><a class="reference internal" href="generated/numpy.polynomial.legendre.legvander.html#numpy.polynomial.legendre.legvander" title="numpy.polynomial.legendre.legvander"><code class="xref py py-obj docutils literal"><span class="pre">legvander</span></code></a>（x，deg）</span></td>
<td><span class="yiyi-st" id="yiyi-48">给定程度的伪Vandermonde矩阵。</span></td>
</tr>
<tr class="row-odd"><td><span class="yiyi-st" id="yiyi-49"><a class="reference internal" href="generated/numpy.polynomial.legendre.legvander2d.html#numpy.polynomial.legendre.legvander2d" title="numpy.polynomial.legendre.legvander2d"><code class="xref py py-obj docutils literal"><span class="pre">legvander2d</span></code></a>（x，y，deg）</span></td>
<td><span class="yiyi-st" id="yiyi-50">给定度的伪Vandermonde矩阵。</span></td>
</tr>
<tr class="row-even"><td><span class="yiyi-st" id="yiyi-51"><a class="reference internal" href="generated/numpy.polynomial.legendre.legvander3d.html#numpy.polynomial.legendre.legvander3d" title="numpy.polynomial.legendre.legvander3d"><code class="xref py py-obj docutils literal"><span class="pre">legvander3d</span></code></a>（x，y，z，deg）</span></td>
<td><span class="yiyi-st" id="yiyi-52">给定度的伪Vandermonde矩阵。</span></td>
</tr>
</tbody>
</table>
</div>
<div class="section" id="calculus">
<h2><span class="yiyi-st" id="yiyi-53">Calculus</span></h2>
<table border="1" class="longtable docutils">
<colgroup>
<col width="10%">
<col width="90%">
</colgroup>
<tbody valign="top">
<tr class="row-odd"><td><span class="yiyi-st" id="yiyi-54"><a class="reference internal" href="generated/numpy.polynomial.legendre.legder.html#numpy.polynomial.legendre.legder" title="numpy.polynomial.legendre.legder"><code class="xref py py-obj docutils literal"><span class="pre">legder</span></code></a>（c [，m，scl，axis]）</span></td>
<td><span class="yiyi-st" id="yiyi-55">区分一个Legendre系列。</span></td>
</tr>
<tr class="row-even"><td><span class="yiyi-st" id="yiyi-56"><a class="reference internal" href="generated/numpy.polynomial.legendre.legint.html#numpy.polynomial.legendre.legint" title="numpy.polynomial.legendre.legint"><code class="xref py py-obj docutils literal"><span class="pre">legint</span></code></a>（c [，m，k，lbnd，scl，axis]）</span></td>
<td><span class="yiyi-st" id="yiyi-57">集成Legendre系列。</span></td>
</tr>
</tbody>
</table>
</div>
<div class="section" id="algebra">
<h2><span class="yiyi-st" id="yiyi-58">Algebra</span></h2>
<table border="1" class="longtable docutils">
<colgroup>
<col width="10%">
<col width="90%">
</colgroup>
<tbody valign="top">
<tr class="row-odd"><td><span class="yiyi-st" id="yiyi-59"><a class="reference internal" href="generated/numpy.polynomial.legendre.legadd.html#numpy.polynomial.legendre.legadd" title="numpy.polynomial.legendre.legadd"><code class="xref py py-obj docutils literal"><span class="pre">legadd</span></code></a>（c1，c2）</span></td>
<td><span class="yiyi-st" id="yiyi-60">添加一个Legendre系列到另一个。</span></td>
</tr>
<tr class="row-even"><td><span class="yiyi-st" id="yiyi-61"><a class="reference internal" href="generated/numpy.polynomial.legendre.legsub.html#numpy.polynomial.legendre.legsub" title="numpy.polynomial.legendre.legsub"><code class="xref py py-obj docutils literal"><span class="pre">legsub</span></code></a>（c1，c2）</span></td>
<td><span class="yiyi-st" id="yiyi-62">从另一个中减去一个Legendre系列。</span></td>
</tr>
<tr class="row-odd"><td><span class="yiyi-st" id="yiyi-63"><a class="reference internal" href="generated/numpy.polynomial.legendre.legmul.html#numpy.polynomial.legendre.legmul" title="numpy.polynomial.legendre.legmul"><code class="xref py py-obj docutils literal"><span class="pre">legmul</span></code></a>（c1，c2）</span></td>
<td><span class="yiyi-st" id="yiyi-64">将一个Legendre系列乘以另一个。</span></td>
</tr>
<tr class="row-even"><td><span class="yiyi-st" id="yiyi-65"><a class="reference internal" href="generated/numpy.polynomial.legendre.legmulx.html#numpy.polynomial.legendre.legmulx" title="numpy.polynomial.legendre.legmulx"><code class="xref py py-obj docutils literal"><span class="pre">legmulx</span></code></a>（c）</span></td>
<td><span class="yiyi-st" id="yiyi-66">将一个Legendre系列乘以x。</span></td>
</tr>
<tr class="row-odd"><td><span class="yiyi-st" id="yiyi-67"><a class="reference internal" href="generated/numpy.polynomial.legendre.legdiv.html#numpy.polynomial.legendre.legdiv" title="numpy.polynomial.legendre.legdiv"><code class="xref py py-obj docutils literal"><span class="pre">legdiv</span></code></a>（c1，c2）</span></td>
<td><span class="yiyi-st" id="yiyi-68">将一个Legendre系列除以另一个。</span></td>
</tr>
<tr class="row-even"><td><span class="yiyi-st" id="yiyi-69"><a class="reference internal" href="generated/numpy.polynomial.legendre.legpow.html#numpy.polynomial.legendre.legpow" title="numpy.polynomial.legendre.legpow"><code class="xref py py-obj docutils literal"><span class="pre">legpow</span></code></a>（c，pow [，maxpower]）</span></td>
<td><span class="yiyi-st" id="yiyi-70">把一个Legendre系列提升一个力量。</span></td>
</tr>
</tbody>
</table>
</div>
<div class="section" id="quadrature">
<h2><span class="yiyi-st" id="yiyi-71">Quadrature</span></h2>
<table border="1" class="longtable docutils">
<colgroup>
<col width="10%">
<col width="90%">
</colgroup>
<tbody valign="top">
<tr class="row-odd"><td><span class="yiyi-st" id="yiyi-72"><a class="reference internal" href="generated/numpy.polynomial.legendre.leggauss.html#numpy.polynomial.legendre.leggauss" title="numpy.polynomial.legendre.leggauss"><code class="xref py py-obj docutils literal"><span class="pre">leggauss</span></code></a>（deg）</span></td>
<td><span class="yiyi-st" id="yiyi-73">高斯 - 勒让德正交。</span></td>
</tr>
<tr class="row-even"><td><span class="yiyi-st" id="yiyi-74"><a class="reference internal" href="generated/numpy.polynomial.legendre.legweight.html#numpy.polynomial.legendre.legweight" title="numpy.polynomial.legendre.legweight"><code class="xref py py-obj docutils literal"><span class="pre">legweight</span></code></a>（x）</span></td>
<td><span class="yiyi-st" id="yiyi-75">勒让德多项式的权重函数。</span></td>
</tr>
</tbody>
</table>
</div>
<div class="section" id="miscellaneous">
<h2><span class="yiyi-st" id="yiyi-76">Miscellaneous</span></h2>
<table border="1" class="longtable docutils">
<colgroup>
<col width="10%">
<col width="90%">
</colgroup>
<tbody valign="top">
<tr class="row-odd"><td><span class="yiyi-st" id="yiyi-77"><a class="reference internal" href="generated/numpy.polynomial.legendre.legcompanion.html#numpy.polynomial.legendre.legcompanion" title="numpy.polynomial.legendre.legcompanion"><code class="xref py py-obj docutils literal"><span class="pre">legcompanion</span></code></a>（c）</span></td>
<td><span class="yiyi-st" id="yiyi-78">返回c的缩放伴随矩阵。</span></td>
</tr>
<tr class="row-even"><td><span class="yiyi-st" id="yiyi-79"><a class="reference internal" href="generated/numpy.polynomial.legendre.legdomain.html#numpy.polynomial.legendre.legdomain" title="numpy.polynomial.legendre.legdomain"><code class="xref py py-obj docutils literal"><span class="pre">legdomain</span></code></a></span></td>
<td></td>
</tr>
<tr class="row-odd"><td><span class="yiyi-st" id="yiyi-80"><a class="reference internal" href="generated/numpy.polynomial.legendre.legzero.html#numpy.polynomial.legendre.legzero" title="numpy.polynomial.legendre.legzero"><code class="xref py py-obj docutils literal"><span class="pre">legzero</span></code></a></span></td>
<td></td>
</tr>
<tr class="row-even"><td><span class="yiyi-st" id="yiyi-81"><a class="reference internal" href="generated/numpy.polynomial.legendre.legone.html#numpy.polynomial.legendre.legone" title="numpy.polynomial.legendre.legone"><code class="xref py py-obj docutils literal"><span class="pre">legone</span></code></a></span></td>
<td></td>
</tr>
<tr class="row-odd"><td><span class="yiyi-st" id="yiyi-82"><a class="reference internal" href="generated/numpy.polynomial.legendre.legx.html#numpy.polynomial.legendre.legx" title="numpy.polynomial.legendre.legx"><code class="xref py py-obj docutils literal"><span class="pre">legx</span></code></a></span></td>
<td></td>
</tr>
<tr class="row-even"><td><span class="yiyi-st" id="yiyi-83"><a class="reference internal" href="generated/numpy.polynomial.legendre.legtrim.html#numpy.polynomial.legendre.legtrim" title="numpy.polynomial.legendre.legtrim"><code class="xref py py-obj docutils literal"><span class="pre">legtrim</span></code></a>（c [，tol]）</span></td>
<td><span class="yiyi-st" id="yiyi-84">从多项式中删除“小”“拖尾”系数。</span></td>
</tr>
<tr class="row-odd"><td><span class="yiyi-st" id="yiyi-85"><a class="reference internal" href="generated/numpy.polynomial.legendre.legline.html#numpy.polynomial.legendre.legline" title="numpy.polynomial.legendre.legline"><code class="xref py py-obj docutils literal"><span class="pre">legline</span></code></a>（off，scl）</span></td>
<td><span class="yiyi-st" id="yiyi-86">Legendre系列的图形是一条直线。</span></td>
</tr>
<tr class="row-even"><td><span class="yiyi-st" id="yiyi-87"><a class="reference internal" href="generated/numpy.polynomial.legendre.leg2poly.html#numpy.polynomial.legendre.leg2poly" title="numpy.polynomial.legendre.leg2poly"><code class="xref py py-obj docutils literal"><span class="pre">leg2poly</span></code></a>（c）</span></td>
<td><span class="yiyi-st" id="yiyi-88">将Legendre系列转换为多项式。</span></td>
</tr>
<tr class="row-odd"><td><span class="yiyi-st" id="yiyi-89"><a class="reference internal" href="generated/numpy.polynomial.legendre.poly2leg.html#numpy.polynomial.legendre.poly2leg" title="numpy.polynomial.legendre.poly2leg"><code class="xref py py-obj docutils literal"><span class="pre">poly2leg</span></code></a>（pol）</span></td>
<td><span class="yiyi-st" id="yiyi-90">将多项式转换为Legendre系列。</span></td>
</tr>
</tbody>
</table>
</div>