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97 lines
7.1 KiB
97 lines
7.1 KiB
<HTML><HEAD><TITLE>Microsoft.FSharp.Math.Complex</TITLE><link rel="stylesheet" type="text/css"href="../msdn.css"></link></HEAD><BODY>
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<h1>[<a href='../namespaces.html'>Home</a>] Module <a href='Microsoft.FSharp.Math.html'>Microsoft.FSharp.Math</a>.Complex </h1><br>
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<dt></dt><dd>
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<table>
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<tr valign='top'><td>
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<dt><h3>Values</h3></dt><dd>
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<table width="100%%">
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<tr><th width=60%>Value</th><th>Description</th></tr>
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<tr valign="top"><td><pre>val add : <a href='Microsoft.FSharp.Math.type__complex.html'>complex</a> -> <a href='Microsoft.FSharp.Math.type__complex.html'>complex</a> -> <a href='Microsoft.FSharp.Math.type__complex.html'>complex</a></pre></td><td><summary>
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Add two complex numbers
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</summary></td></tr>
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<tr valign="top"><td><pre>val cis : <a href='../FSharp.Core/Microsoft.FSharp.Core.type__float.html'>float</a> -> <a href='Microsoft.FSharp.Math.type__complex.html'>complex</a></pre></td><td><summary>
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A complex of magnitude 1 and the given phase and , i.e. cis x = mkPolar 1.0 x
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</summary></td></tr>
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<tr valign="top"><td><pre>val conjugate : <a href='Microsoft.FSharp.Math.type__complex.html'>complex</a> -> <a href='Microsoft.FSharp.Math.type__complex.html'>complex</a></pre></td><td><summary>
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The conjugate of a complex number, i.e. x-yi
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</summary></td></tr>
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<tr valign="top"><td><pre>val cos : <a href='Microsoft.FSharp.Math.type_Complex.html'>Complex</a> -> <a href='Microsoft.FSharp.Math.type_Complex.html'>Complex</a></pre></td><td><summary>
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Cosine
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</summary></td></tr>
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<tr valign="top"><td><pre>val div : <a href='Microsoft.FSharp.Math.type__complex.html'>complex</a> -> <a href='Microsoft.FSharp.Math.type__complex.html'>complex</a> -> <a href='Microsoft.FSharp.Math.type__complex.html'>complex</a></pre></td><td><summary>
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Complex division of two complex numbers
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</summary></td></tr>
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<tr valign="top"><td><pre>val exp : <a href='Microsoft.FSharp.Math.type_Complex.html'>Complex</a> -> <a href='Microsoft.FSharp.Math.type_Complex.html'>Complex</a></pre></td><td><summary>
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exp(x) = e^x
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</summary></td></tr>
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<tr valign="top"><td><pre>val imagPart : <a href='Microsoft.FSharp.Math.type__complex.html'>complex</a> -> <a href='../FSharp.Core/Microsoft.FSharp.Core.type__float.html'>float</a></pre></td><td><summary>
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The imaginary part of a complex number
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</summary></td></tr>
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<tr valign="top"><td><pre>val log : <a href='Microsoft.FSharp.Math.type_Complex.html'>Complex</a> -> <a href='Microsoft.FSharp.Math.type_Complex.html'>Complex</a></pre></td><td><summary>
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log(x) is natural log (base e)
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</summary></td></tr>
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<tr valign="top"><td><pre>val magnitude : <a href='Microsoft.FSharp.Math.type__complex.html'>complex</a> -> <a href='../FSharp.Core/Microsoft.FSharp.Core.type__float.html'>float</a></pre></td><td><summary>
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The polar-coordinate magnitude of a complex number
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</summary></td></tr>
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<tr valign="top"><td><pre>val mkPolar : <a href='../FSharp.Core/Microsoft.FSharp.Core.type__float.html'>float</a> * <a href='../FSharp.Core/Microsoft.FSharp.Core.type__float.html'>float</a> -> <a href='Microsoft.FSharp.Math.type__complex.html'>complex</a></pre></td><td><summary>
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Create a complex number using magnitude/phase polar coordinates
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</summary></td></tr>
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<tr valign="top"><td><pre>val mkRect : <a href='../FSharp.Core/Microsoft.FSharp.Core.type__float.html'>float</a> * <a href='../FSharp.Core/Microsoft.FSharp.Core.type__float.html'>float</a> -> <a href='Microsoft.FSharp.Math.type__complex.html'>complex</a></pre></td><td></td></tr>
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<tr valign="top"><td><pre>val mul : <a href='Microsoft.FSharp.Math.type__complex.html'>complex</a> -> <a href='Microsoft.FSharp.Math.type__complex.html'>complex</a> -> <a href='Microsoft.FSharp.Math.type__complex.html'>complex</a></pre></td><td><summary>
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Multiply two complex numbers
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</summary></td></tr>
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<tr valign="top"><td><pre>val muls : <a href='Microsoft.FSharp.Math.type__complex.html'>complex</a> -> <a href='../FSharp.Core/Microsoft.FSharp.Core.type__float.html'>float</a> -> <a href='Microsoft.FSharp.Math.type__complex.html'>complex</a></pre></td><td><summary>
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Multiply a complex number by a scalar
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</summary></td></tr>
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<tr valign="top"><td><pre>val neg : <a href='Microsoft.FSharp.Math.type__complex.html'>complex</a> -> <a href='Microsoft.FSharp.Math.type__complex.html'>complex</a></pre></td><td><summary>
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Unary negation of a complex number
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</summary></td></tr>
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<tr valign="top"><td><pre>val one : <a href='Microsoft.FSharp.Math.type__complex.html'>complex</a></pre></td><td><summary>
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The complex number 1+0i
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</summary></td></tr>
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<tr valign="top"><td><pre>val onei : <a href='Microsoft.FSharp.Math.type__complex.html'>complex</a></pre></td><td><summary>
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The complex number 0+1i
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</summary></td></tr>
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<tr valign="top"><td><pre>val phase : <a href='Microsoft.FSharp.Math.type__complex.html'>complex</a> -> <a href='../FSharp.Core/Microsoft.FSharp.Core.type__float.html'>float</a></pre></td><td><summary>
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The polar-coordinate phase of a complex number
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</summary></td></tr>
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<tr valign="top"><td><pre>val pi : <a href='Microsoft.FSharp.Math.type_Complex.html'>Complex</a></pre></td><td><summary>
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pi
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</summary></td></tr>
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<tr valign="top"><td><pre>val realPart : <a href='Microsoft.FSharp.Math.type__complex.html'>complex</a> -> <a href='../FSharp.Core/Microsoft.FSharp.Core.type__float.html'>float</a></pre></td><td><summary>
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The real part of a complex number
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</summary></td></tr>
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<tr valign="top"><td><pre>val sin : <a href='Microsoft.FSharp.Math.type_Complex.html'>Complex</a> -> <a href='Microsoft.FSharp.Math.type_Complex.html'>Complex</a></pre></td><td><summary>
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Sine
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</summary></td></tr>
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<tr valign="top"><td><pre>val smul : <a href='../FSharp.Core/Microsoft.FSharp.Core.type__float.html'>float</a> -> <a href='Microsoft.FSharp.Math.type__complex.html'>complex</a> -> <a href='Microsoft.FSharp.Math.type__complex.html'>complex</a></pre></td><td><summary>
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Multiply a scalar by a complex number
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</summary></td></tr>
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<tr valign="top"><td><pre>val sqrt : <a href='Microsoft.FSharp.Math.type_Complex.html'>Complex</a> -> <a href='Microsoft.FSharp.Math.type_Complex.html'>Complex</a></pre></td><td><summary>
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sqrt(x) and 0 <= phase(x) < pi
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</summary></td></tr>
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<tr valign="top"><td><pre>val sub : <a href='Microsoft.FSharp.Math.type__complex.html'>complex</a> -> <a href='Microsoft.FSharp.Math.type__complex.html'>complex</a> -> <a href='Microsoft.FSharp.Math.type__complex.html'>complex</a></pre></td><td><summary>
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Subtract one complex number from another
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</summary></td></tr>
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<tr valign="top"><td><pre>val tan : <a href='Microsoft.FSharp.Math.type_Complex.html'>Complex</a> -> <a href='Microsoft.FSharp.Math.type_Complex.html'>Complex</a></pre></td><td><summary>
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Tagent
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</summary></td></tr>
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<tr valign="top"><td><pre>val zero : <a href='Microsoft.FSharp.Math.type__complex.html'>complex</a></pre></td><td><summary>
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The complex number 0+0i
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</summary></td></tr>
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</table>
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</dd>
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</td></tr>
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<tr valign='top'><td>
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<dt><h3>See Also</h3></dt><dd>
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<a href="Microsoft.FSharp.Math.html">Microsoft.FSharp.Math</a> </dd>
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</td></tr>
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</table>
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<br /> <br/><p><i>Documentation for assembly FSharp.PowerPack, version 1.9.6.16, generated using <a href='http://research.microsoft.com/fsharp/'>F# Programming Language</a> version 1.9.6.16</i></p>
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