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94 lines
8.9 KiB
94 lines
8.9 KiB
<HTML><HEAD><TITLE>Microsoft.FSharp.Math.Vector.Generic</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>.<a href='Microsoft.FSharp.Math.Vector.html'>Vector</a>.Generic </h1><br>
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</dd>
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<dt></dt><dd>
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<table>
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<tr valign='top'><td><summary>
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Operations to manipulate column vectors carrying
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arbitrary element types.
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</summary>
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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 copy : <a href='Microsoft.FSharp.Math.type_Vector-1.html'>Vector</a><'T> -> <a href='Microsoft.FSharp.Math.type_Vector-1.html'>Vector</a><'T></pre></td><td></td></tr>
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<tr valign="top"><td><pre>val cptMax : <a href='Microsoft.FSharp.Math.type_Vector-1.html'>Vector</a><'T> -> <a href='Microsoft.FSharp.Math.type_Vector-1.html'>Vector</a><'T> -> <a href='Microsoft.FSharp.Math.type_Vector-1.html'>Vector</a><'T></pre></td><td><summary>
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Take the pointwise maximum of two vectors
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</summary></td></tr>
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<tr valign="top"><td><pre>val cptMin : <a href='Microsoft.FSharp.Math.type_Vector-1.html'>Vector</a><'T> -> <a href='Microsoft.FSharp.Math.type_Vector-1.html'>Vector</a><'T> -> <a href='Microsoft.FSharp.Math.type_Vector-1.html'>Vector</a><'T></pre></td><td><summary>
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Take the pointwise minimum of two vectors
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</summary></td></tr>
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<tr valign="top"><td><pre>val create : <a href='../FSharp.Core/Microsoft.FSharp.Core.type__int.html'>int</a> -> 'T -> <a href='Microsoft.FSharp.Math.type_Vector-1.html'>Vector</a><'T></pre></td><td><summary>
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Generate a vector of the given length where each entry contains the given value
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</summary></td></tr>
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<tr valign="top"><td><pre>val dot : <a href='Microsoft.FSharp.Math.type_Vector-1.html'>Vector</a><'T> -> <a href='Microsoft.FSharp.Math.type_Vector-1.html'>Vector</a><'T> -> 'T</pre></td><td><summary>
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Dot product
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</summary></td></tr>
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<tr valign="top"><td><pre>val exists : ('T -> <a href='../FSharp.Core/Microsoft.FSharp.Core.type__bool.html'>bool</a>) -> <a href='Microsoft.FSharp.Math.type_Vector-1.html'>Vector</a><'T> -> <a href='../FSharp.Core/Microsoft.FSharp.Core.type__bool.html'>bool</a></pre></td><td></td></tr>
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<tr valign="top"><td><pre>val existsi : (<a href='../FSharp.Core/Microsoft.FSharp.Core.type__int.html'>int</a> -> 'T -> <a href='../FSharp.Core/Microsoft.FSharp.Core.type__bool.html'>bool</a>) -> <a href='Microsoft.FSharp.Math.type_Vector-1.html'>Vector</a><'T> -> <a href='../FSharp.Core/Microsoft.FSharp.Core.type__bool.html'>bool</a></pre></td><td></td></tr>
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<tr valign="top"><td><pre>val fold : ('State -> 'T -> 'State) -> 'State -> <a href='Microsoft.FSharp.Math.type_Vector-1.html'>Vector</a><'T> -> 'State</pre></td><td></td></tr>
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<tr valign="top"><td><pre>val foldi :
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(<a href='../FSharp.Core/Microsoft.FSharp.Core.type__int.html'>int</a> -> 'State -> 'T -> 'State) -> 'State -> <a href='Microsoft.FSharp.Math.type_Vector-1.html'>Vector</a><'T> -> 'State</pre></td><td></td></tr>
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<tr valign="top"><td><pre>val forall : ('T -> <a href='../FSharp.Core/Microsoft.FSharp.Core.type__bool.html'>bool</a>) -> <a href='Microsoft.FSharp.Math.type_Vector-1.html'>Vector</a><'T> -> <a href='../FSharp.Core/Microsoft.FSharp.Core.type__bool.html'>bool</a></pre></td><td></td></tr>
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<tr valign="top"><td><pre>val foralli : (<a href='../FSharp.Core/Microsoft.FSharp.Core.type__int.html'>int</a> -> 'T -> <a href='../FSharp.Core/Microsoft.FSharp.Core.type__bool.html'>bool</a>) -> <a href='Microsoft.FSharp.Math.type_Vector-1.html'>Vector</a><'T> -> <a href='../FSharp.Core/Microsoft.FSharp.Core.type__bool.html'>bool</a></pre></td><td></td></tr>
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<tr valign="top"><td><pre>val get : <a href='Microsoft.FSharp.Math.type_Vector-1.html'>Vector</a><'T> -> <a href='../FSharp.Core/Microsoft.FSharp.Core.type__int.html'>int</a> -> 'T</pre></td><td><summary>
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Get an element of a column vector
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</summary></td></tr>
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<tr valign="top"><td><pre>val init : <a href='../FSharp.Core/Microsoft.FSharp.Core.type__int.html'>int</a> -> (<a href='../FSharp.Core/Microsoft.FSharp.Core.type__int.html'>int</a> -> 'T) -> <a href='Microsoft.FSharp.Math.type_Vector-1.html'>Vector</a><'T></pre></td><td><summary>
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Creation: general
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</summary></td></tr>
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<tr valign="top"><td><pre>val initNumeric : <a href='../FSharp.Core/Microsoft.FSharp.Core.type__int.html'>int</a> -> (<a href='Microsoft.FSharp.Math.type_INumeric-1.html'>INumeric</a><'T> -> <a href='../FSharp.Core/Microsoft.FSharp.Core.type__int.html'>int</a> -> 'T) -> <a href='Microsoft.FSharp.Math.type_Vector-1.html'>Vector</a><'T></pre></td><td><summary>
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Creation: useful when the element type has associated operations.
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</summary></td></tr>
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<tr valign="top"><td><pre>val length : <a href='Microsoft.FSharp.Math.type_Vector-1.html'>Vector</a><'T> -> <a href='../FSharp.Core/Microsoft.FSharp.Core.type__int.html'>int</a></pre></td><td><summary>
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Get the dimensions (number of rows) of a column vector. Identical to <tt>nrows</tt>
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</summary></td></tr>
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<tr valign="top"><td><pre>val map : ('T -> 'T) -> <a href='Microsoft.FSharp.Math.type_Vector-1.html'>Vector</a><'T> -> <a href='Microsoft.FSharp.Math.type_Vector-1.html'>Vector</a><'T></pre></td><td></td></tr>
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<tr valign="top"><td><pre>val mapi : (<a href='../FSharp.Core/Microsoft.FSharp.Core.type__int.html'>int</a> -> 'T -> 'T) -> <a href='Microsoft.FSharp.Math.type_Vector-1.html'>Vector</a><'T> -> <a href='Microsoft.FSharp.Math.type_Vector-1.html'>Vector</a><'T></pre></td><td></td></tr>
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<tr valign="top"><td><pre>val norm : <a href='Microsoft.FSharp.Math.type_Vector-1.html'>Vector</a><'T> -> <a href='../FSharp.Core/Microsoft.FSharp.Core.type__float.html'>float</a></pre></td><td><summary>
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Computes the 2-norm of a vector: sqrt(x.Transpose*x).
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</summary></td></tr>
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<tr valign="top"><td><pre>val of_array : 'T <a href='../FSharp.Core/Microsoft.FSharp.Core.type__[]-1.html'>[]</a> -> <a href='Microsoft.FSharp.Math.type_Vector-1.html'>Vector</a><'T></pre></td><td><summary>
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Create a vector from an array of elements
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</summary></td></tr>
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<tr valign="top"><td><pre>val of_list : 'T <a href='../FSharp.Core/Microsoft.FSharp.Collections.type__list-1.html'>list</a> -> <a href='Microsoft.FSharp.Math.type_Vector-1.html'>Vector</a><'T></pre></td><td><summary>
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Create a vector from a list of numbers
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</summary></td></tr>
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<tr valign="top"><td><pre>val of_scalar : 'T -> <a href='Microsoft.FSharp.Math.type_Vector-1.html'>Vector</a><'T></pre></td><td><summary>
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Create a 1-element vector
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</summary></td></tr>
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<tr valign="top"><td><pre>val of_seq : <a href='../FSharp.Core/Microsoft.FSharp.Collections.type__seq-1.html'>seq</a><'T> -> <a href='Microsoft.FSharp.Math.type_Vector-1.html'>Vector</a><'T></pre></td><td><summary>
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Create a vector from a sequence of numbers
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</summary></td></tr>
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<tr valign="top"><td><pre>val prod : <a href='Microsoft.FSharp.Math.type_Vector-1.html'>Vector</a><'T> -> 'T</pre></td><td><summary>
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Multiply all the elements of the matrix
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</summary></td></tr>
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<tr valign="top"><td><pre>val set : <a href='Microsoft.FSharp.Math.type_Vector-1.html'>Vector</a><'T> -> <a href='../FSharp.Core/Microsoft.FSharp.Core.type__int.html'>int</a> -> 'T -> <a href='../FSharp.Core/Microsoft.FSharp.Core.type__unit.html'>unit</a></pre></td><td><summary>
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Set an element of a column vector
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</summary></td></tr>
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<tr valign="top"><td><pre>val sum : <a href='Microsoft.FSharp.Math.type_Vector-1.html'>Vector</a><'T> -> 'T</pre></td><td><summary>
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Sum all the elements of a vector
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</summary></td></tr>
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<tr valign="top"><td><pre>val to_array : <a href='Microsoft.FSharp.Math.type_Vector-1.html'>Vector</a><'T> -> 'T <a href='../FSharp.Core/Microsoft.FSharp.Core.type__[]-1.html'>[]</a></pre></td><td><summary>
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Return a new array containing a copy of the elements of the given vector
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</summary></td></tr>
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<tr valign="top"><td><pre>val transpose : <a href='Microsoft.FSharp.Math.type_Vector-1.html'>Vector</a><'T> -> <a href='Microsoft.FSharp.Math.type_RowVector-1.html'>RowVector</a><'T></pre></td><td><summary>
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Transpose of a matrix. Use also m.Transpose
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</summary></td></tr>
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<tr valign="top"><td><pre>val zero : <a href='../FSharp.Core/Microsoft.FSharp.Core.type__int.html'>int</a> -> <a href='Microsoft.FSharp.Math.type_Vector-1.html'>Vector</a><'T></pre></td><td><summary>
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Return a vector of the given length where every entry is zero.
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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.Vector.html">Microsoft.FSharp.Math.Vector</a> </dd>
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</td></tr>
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</table>
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</dd>
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</dl>
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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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