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    <title>MaplePrimes - Questions and Posts tagged with algorithm</title>
    <link>http://www.mapleprimes.com/tags/algorithm</link>
    <language>en-us</language>
    <copyright>2012 Maplesoft, A Division of Waterloo Maple Inc.</copyright>
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    <lastBuildDate>Thu, 17 May 2012 09:36:55 GMT</lastBuildDate>
    <pubDate>Thu, 17 May 2012 09:36:55 GMT</pubDate>
    <itunes:subtitle />
    <itunes:summary />
    <description>The most recent questions and posts on MaplePrimes tagged with algorithm</description>
    <image>
      <url>http://www.mapleprimes.com/images/mapleprimeswhite.jpg</url>
      <title>MaplePrimes - Questions and Posts tagged with algorithm</title>
      <link>http://www.mapleprimes.com/tags/algorithm</link>
    </image>
    <item>
      <title>Too long an ODE?</title>
      <link>http://www.mapleprimes.com/questions/132707-Too-Long-An-ODE?ref=Feed:MaplePrimes:Tagged With algorithm</link>
      <itunes:summary>&lt;p&gt;I have an ODE to solve that looks like this:&amp;nbsp;&lt;/p&gt;
&lt;p&gt;((diff(R(r), r, r, r, r))*r^4+3*(diff(R(r), r))*r-3*(diff(R(r), r, r))*r^2+2*(diff(R(r), r, r, r))*r^3-3*R(r)+4*R(r)*n+2*R(r)*n^2-4*(diff(R(r), r))*r*n+2*(diff(R(r), r))*r*n^2+4*(diff(R(r), r, r))*r^2*n-2*(diff(R(r), r, r))*r^2*n^2-4*R(r)*n^3+R(r)*n^4)/r^4 = (-108-1362*n+2122*n^2+2019*n^3-3032*n^4+401*n^7+1192*n^6-1033*n^5-25*n^9+6*n^10-180*n^8-4128*r^(n+3)*n^3+2304*r^(n+3)*n-576*r^(n+5)*n-760*n^6*r+575*n^5*r-244*n^7*r-2108*n^3*r-11616*r^(n+3...</itunes:summary>
      <description>&lt;p&gt;I have an ODE to solve that looks like this:&amp;nbsp;&lt;/p&gt;
&lt;p&gt;((diff(R(r), r, r, r, r))*r^4+3*(diff(R(r), r))*r-3*(diff(R(r), r, r))*r^2+2*(diff(R(r), r, r, r))*r^3-3*R(r)+4*R(r)*n+2*R(r)*n^2-4*(diff(R(r), r))*r*n+2*(diff(R(r), r))*r*n^2+4*(diff(R(r), r, r))*r^2*n-2*(diff(R(r), r, r))*r^2*n^2-4*R(r)*n^3+R(r)*n^4)/r^4 = (-108-1362*n+2122*n^2+2019*n^3-3032*n^4+401*n^7+1192*n^6-1033*n^5-25*n^9+6*n^10-180*n^8-4128*r^(n+3)*n^3+2304*r^(n+3)*n-576*r^(n+5)*n-760*n^6*r+575*n^5*r-244*n^7*r-2108*n^3*r-11616*r^(n+3...</description>
      <guid>132707</guid>
      <pubDate>Sat, 07 Apr 2012 03:54:21 Z</pubDate>
      <itunes:author>mgu</itunes:author>
      <author>mgu</author>
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      <title>how to find resultant of multivariant polynomials</title>
      <link>http://www.mapleprimes.com/questions/130571-How-To-Find-Resultant-Of-Multivariant-Polynomials?ref=Feed:MaplePrimes:Tagged With algorithm</link>
      <itunes:summary>&lt;p&gt;Is there programs or algorithm to obtain resultant of multivariant polynomials for more than 2 polynomials&lt;/p&gt;</itunes:summary>
      <description>&lt;p&gt;Is there programs or algorithm to obtain resultant of multivariant polynomials for more than 2 polynomials&lt;/p&gt;</description>
      <guid>130571</guid>
      <pubDate>Fri, 10 Feb 2012 21:28:00 Z</pubDate>
      <itunes:author>Helen Perk</itunes:author>
      <author>Helen Perk</author>
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      <title>Algorithm used  by Maple function 'MatrixInverse' for calculating pseudo inverse of matrix</title>
      <link>http://www.mapleprimes.com/questions/126591-Algorithm-Used--By-Maple-Function-MatrixInverse?ref=Feed:MaplePrimes:Tagged With algorithm</link>
      <itunes:summary>&lt;p&gt;Hi,&lt;/p&gt;
&lt;p&gt;I am working on my project related to bioinformatics. I am using Maple 11 for calculations related to matrices.&lt;/p&gt;
&lt;p&gt;I need to calculate &amp;nbsp;Moore-penrose Pseudoinverse. I need to know the algorithm used by Maple function&lt;/p&gt;
&lt;p&gt;'MatrixInverse' for calculating pseudo inverse of matrix.&lt;/p&gt;
&lt;p&gt;&amp;nbsp;&lt;/p&gt;
&lt;p&gt;Thanks&lt;/p&gt;</itunes:summary>
      <description>&lt;p&gt;Hi,&lt;/p&gt;
&lt;p&gt;I am working on my project related to bioinformatics. I am using Maple 11 for calculations related to matrices.&lt;/p&gt;
&lt;p&gt;I need to calculate &amp;nbsp;Moore-penrose Pseudoinverse. I need to know the algorithm used by Maple function&lt;/p&gt;
&lt;p&gt;'MatrixInverse' for calculating pseudo inverse of matrix.&lt;/p&gt;
&lt;p&gt;&amp;nbsp;&lt;/p&gt;
&lt;p&gt;Thanks&lt;/p&gt;</description>
      <guid>126591</guid>
      <pubDate>Thu, 13 Oct 2011 22:38:46 Z</pubDate>
      <itunes:author>sanjeev537</itunes:author>
      <author>sanjeev537</author>
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      <title>first programm in maple</title>
      <link>http://www.mapleprimes.com/questions/125574-First-Programm-In-Maple?ref=Feed:MaplePrimes:Tagged With algorithm</link>
      <itunes:summary>&lt;p&gt;Hey&lt;br&gt;I have just started with maple and I it is a little bit confusing for me &amp;nbsp;an I am tryin to implement the sieve of eratosthenes algorithm&lt;/p&gt;
&lt;p&gt;but I am still getting strang warnings and the programm does not function as wanted so i wanted to use the debugger but&lt;br&gt;it is not working(it is like disabled)&lt;br&gt;I have maple 12&lt;br&gt;I will be glad to get a help&lt;br&gt;thanks&amp;nbsp;&lt;/p&gt;
&lt;p&gt;&amp;nbsp;&lt;/p&gt;</itunes:summary>
      <description>&lt;p&gt;Hey&lt;br&gt;I have just started with maple and I it is a little bit confusing for me &amp;nbsp;an I am tryin to implement the sieve of eratosthenes algorithm&lt;/p&gt;
&lt;p&gt;but I am still getting strang warnings and the programm does not function as wanted so i wanted to use the debugger but&lt;br&gt;it is not working(it is like disabled)&lt;br&gt;I have maple 12&lt;br&gt;I will be glad to get a help&lt;br&gt;thanks&amp;nbsp;&lt;/p&gt;
&lt;p&gt;&amp;nbsp;&lt;/p&gt;</description>
      <guid>125574</guid>
      <pubDate>Tue, 13 Sep 2011 07:34:04 Z</pubDate>
      <itunes:author>bafla13</itunes:author>
      <author>bafla13</author>
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      <title>algorithm of Dsolve</title>
      <link>http://www.mapleprimes.com/questions/125360-Algorithm-Of-Dsolve?ref=Feed:MaplePrimes:Tagged With algorithm</link>
      <itunes:summary>&lt;p&gt;hi&lt;/p&gt;
&lt;p&gt;i want to know what is the algorithm of dsolve( , numeric,bvp)&amp;nbsp; for example Rung kutta shooting, newton or ....&lt;/p&gt;
&lt;p&gt;in maple it shows newton iteration , i dont know what it means.&lt;/p&gt;
&lt;p&gt;&amp;nbsp;&lt;/p&gt;
&lt;p&gt;thancks&lt;/p&gt;</itunes:summary>
      <description>&lt;p&gt;hi&lt;/p&gt;
&lt;p&gt;i want to know what is the algorithm of dsolve( , numeric,bvp)&amp;nbsp; for example Rung kutta shooting, newton or ....&lt;/p&gt;
&lt;p&gt;in maple it shows newton iteration , i dont know what it means.&lt;/p&gt;
&lt;p&gt;&amp;nbsp;&lt;/p&gt;
&lt;p&gt;thancks&lt;/p&gt;</description>
      <guid>125360</guid>
      <pubDate>Fri, 02 Sep 2011 21:07:25 Z</pubDate>
      <itunes:author>samiyare</itunes:author>
      <author>samiyare</author>
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    <item>
      <title>Secure Hash Algorithms (SHA1, SHA2)</title>
      <link>http://www.mapleprimes.com/posts/124295-Secure-Hash-Algorithms-SHA1-SHA2?ref=Feed:MaplePrimes:Tagged With algorithm</link>
      <itunes:summary>&lt;p&gt;&lt;a href="/ViewTemp.ashx?f=60042_1312431581/SHA-0.3.zip"&gt;SHA-0.3.zip&lt;/a&gt; includes a Maple archive and help data base that implement the SHA algorithm (SHA-1, SHA-224, SHA-256, SHA-384, and SHA-512).&amp;nbsp; The implementation is interpreted Maple, so will be considerably slower than a compiled routine, but these should be fast enough for likely uses in Maple.&amp;nbsp; For example&lt;/p&gt;
&lt;p&gt;CodeTools:-Usage(SHA("The quick brown fox jumps over the lazy dog", 512));&lt;br&gt;memory used=502.00KiB,...</itunes:summary>
      <description>&lt;p&gt;&lt;a href="/ViewTemp.ashx?f=60042_1312431581/SHA-0.3.zip"&gt;SHA-0.3.zip&lt;/a&gt; includes a Maple archive and help data base that implement the SHA algorithm (SHA-1, SHA-224, SHA-256, SHA-384, and SHA-512).&amp;nbsp; The implementation is interpreted Maple, so will be considerably slower than a compiled routine, but these should be fast enough for likely uses in Maple.&amp;nbsp; For example&lt;/p&gt;
&lt;p&gt;CodeTools:-Usage(SHA("The quick brown fox jumps over the lazy dog", 512));&lt;br&gt;memory used=502.00KiB,...</description>
      <guid>124295</guid>
      <pubDate>Tue, 02 Aug 2011 01:05:03 Z</pubDate>
      <itunes:author>Joe Riel</itunes:author>
      <author>Joe Riel</author>
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    <item>
      <title>Understanding RSA</title>
      <link>http://www.mapleprimes.com/questions/103970-Understanding-RSA?ref=Feed:MaplePrimes:Tagged With algorithm</link>
      <itunes:summary>&lt;p&gt;Hi,&lt;/p&gt;
&lt;p&gt;I tried to implement an small example sheet for using the RSA algorithmen with small numbers. Unfortunatly, I get confused by my own program and have difficulties to figure out what I am doing wrong. My message can be decoded with both keys, the public and private key what is obviously not correct.&lt;/p&gt;
&lt;p&gt;below is my code with some comments:&lt;/p&gt;
&lt;p&gt;restart: with (numtheory):&lt;br&gt;p := 13; # my first prime number&lt;br&gt;q := 23; # my second one&lt;br&gt;&lt;br&gt;n := p*q;&lt;br&gt;</itunes:summary>
      <description>&lt;p&gt;Hi,&lt;/p&gt;
&lt;p&gt;I tried to implement an small example sheet for using the RSA algorithmen with small numbers. Unfortunatly, I get confused by my own program and have difficulties to figure out what I am doing wrong. My message can be decoded with both keys, the public and private key what is obviously not correct.&lt;/p&gt;
&lt;p&gt;below is my code with some comments:&lt;/p&gt;
&lt;p&gt;restart: with (numtheory):&lt;br&gt;p := 13; # my first prime number&lt;br&gt;q := 23; # my second one&lt;br&gt;&lt;br&gt;n := p*q;&lt;br&gt;</description>
      <guid>103970</guid>
      <pubDate>Fri, 08 Apr 2011 11:10:20 Z</pubDate>
      <itunes:author>toobee</itunes:author>
      <author>toobee</author>
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      <title>Pell's Equation - how to check solutions in Maple?</title>
      <link>http://www.mapleprimes.com/questions/102585-Pells-Equation--How-To-Check-Solutions?ref=Feed:MaplePrimes:Tagged With algorithm</link>
      <itunes:summary>&lt;p&gt;hi&lt;/p&gt;
&lt;p&gt;i have tried Maple help but could not find any answers.&lt;/p&gt;
&lt;p&gt;would appreciate some help on how to construct an algorithm for a Pell's equation with D = 29 (x^2 - D*y^2 = 1)&lt;/p&gt;
&lt;p&gt;That is x^2 - 29*y^2 = 1.&lt;/p&gt;
&lt;p&gt;i know that there is an infinite number of solutions, but would appreciate the first 5.&lt;/p&gt;
&lt;p&gt;(x_1, y_1), (x_2, y_2), ... , (x_5, y_5)&lt;/p&gt;
&lt;p&gt;many thanx,&lt;/p&gt;
&lt;p&gt;antonio&lt;/p&gt;</itunes:summary>
      <description>&lt;p&gt;hi&lt;/p&gt;
&lt;p&gt;i have tried Maple help but could not find any answers.&lt;/p&gt;
&lt;p&gt;would appreciate some help on how to construct an algorithm for a Pell's equation with D = 29 (x^2 - D*y^2 = 1)&lt;/p&gt;
&lt;p&gt;That is x^2 - 29*y^2 = 1.&lt;/p&gt;
&lt;p&gt;i know that there is an infinite number of solutions, but would appreciate the first 5.&lt;/p&gt;
&lt;p&gt;(x_1, y_1), (x_2, y_2), ... , (x_5, y_5)&lt;/p&gt;
&lt;p&gt;many thanx,&lt;/p&gt;
&lt;p&gt;antonio&lt;/p&gt;</description>
      <guid>102585</guid>
      <pubDate>Wed, 16 Mar 2011 21:20:14 Z</pubDate>
      <itunes:author>Antonio_S</itunes:author>
      <author>Antonio_S</author>
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    <item>
      <title>Polygonal number 91768409</title>
      <link>http://www.mapleprimes.com/questions/101334-Polygonal-Number-91768409?ref=Feed:MaplePrimes:Tagged With algorithm</link>
      <itunes:summary>&lt;p&gt;&lt;a href="http://www.wordiq.com/definition/275305224_%28number%29"&gt;here&lt;/a&gt; mentioned:&lt;/p&gt;
&lt;p&gt;275305224 is the third 91768409 gonal number.&lt;/p&gt;
&lt;p&gt;&lt;strong&gt;can you tell me in which of these algorithms we will reach to number 91768409 ?&lt;/strong&gt;&lt;/p&gt;
&lt;p&gt;&lt;br&gt;&lt;br&gt;&lt;/p&gt;
&lt;p&gt;&lt;a href="http://en.wikipedia.org/wiki/-gonal_number"&gt;wiki : &lt;/a&gt;&lt;/p&gt;
&lt;p&gt;&lt;a href="http://en.wikipedia.org/wiki/-gonal_number"&gt;&lt;/a&gt;</itunes:summary>
      <description>&lt;p&gt;&lt;a href="http://www.wordiq.com/definition/275305224_%28number%29"&gt;here&lt;/a&gt; mentioned:&lt;/p&gt;
&lt;p&gt;275305224 is the third 91768409 gonal number.&lt;/p&gt;
&lt;p&gt;&lt;strong&gt;can you tell me in which of these algorithms we will reach to number 91768409 ?&lt;/strong&gt;&lt;/p&gt;
&lt;p&gt;&lt;br&gt;&lt;br&gt;&lt;/p&gt;
&lt;p&gt;&lt;a href="http://en.wikipedia.org/wiki/-gonal_number"&gt;wiki : &lt;/a&gt;&lt;/p&gt;
&lt;p&gt;&lt;a href="http://en.wikipedia.org/wiki/-gonal_number"&gt;&lt;/a&gt;</description>
      <guid>101334</guid>
      <pubDate>Tue, 01 Feb 2011 16:40:26 Z</pubDate>
      <itunes:author>fereydoon_shekofte</itunes:author>
      <author>fereydoon_shekofte</author>
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    <item>
      <title>Incapable de programmer dans maple ( Probleme de maths)</title>
      <link>http://www.mapleprimes.com/questions/99353-Incapable-De-Programmer-Dans-Maple--Probleme-De-Maths?ref=Feed:MaplePrimes:Tagged With algorithm</link>
      <itunes:summary>&lt;p&gt;Bonjour,&lt;/p&gt;
&lt;p&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp; voici un probleme que je suis incapable de regler!&lt;/p&gt;
&lt;p&gt;-----------------------------------------&lt;/p&gt;
&lt;p&gt;D&amp;eacute;velopper un algorithme r&amp;eacute;cursif de fouille dichotomique et l'utiliser pour trouver, dans la liste suivante:&amp;nbsp;&amp;nbsp; L = { 1, 2, 4, 5, 6, 9, 11, 16},&lt;br&gt;&lt;br&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp; i...</itunes:summary>
      <description>&lt;p&gt;Bonjour,&lt;/p&gt;
&lt;p&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp; voici un probleme que je suis incapable de regler!&lt;/p&gt;
&lt;p&gt;-----------------------------------------&lt;/p&gt;
&lt;p&gt;D&amp;eacute;velopper un algorithme r&amp;eacute;cursif de fouille dichotomique et l'utiliser pour trouver, dans la liste suivante:&amp;nbsp;&amp;nbsp; L = { 1, 2, 4, 5, 6, 9, 11, 16},&lt;br&gt;&lt;br&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp; i...</description>
      <guid>99353</guid>
      <pubDate>Tue, 23 Nov 2010 16:16:05 Z</pubDate>
      <itunes:author>EricLachance</itunes:author>
      <author>EricLachance</author>
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    <item>
      <title>how to write procedures that use go to in Maple</title>
      <link>http://www.mapleprimes.com/questions/99052-How-To-Write-Procedures-That-Use-Go-To-In-Maple?ref=Feed:MaplePrimes:Tagged With algorithm</link>
      <itunes:summary>&lt;p&gt;Recently I was looking at an algorithm in one of Knuth's books.&lt;/p&gt;
&lt;p&gt;The algorithm is described in steps with many of the form&amp;nbsp;&lt;/p&gt;
&lt;p&gt;if condition 1 then goto step 7; if condition 2 go to step 8,&amp;nbsp;&lt;/p&gt;
&lt;p&gt;etc.&lt;/p&gt;
&lt;p&gt;I managed to write up the algorithm by making each step&lt;/p&gt;
&lt;p&gt;a procedure, but had trouble with handling global variables.&lt;/p&gt;
&lt;p&gt;&amp;nbsp;&lt;/p&gt;
&lt;p&gt;Is there in Maple some standard method for dealing with such algorithms.&lt;/p&gt;
&lt;p&gt;A friend tells me...</itunes:summary>
      <description>&lt;p&gt;Recently I was looking at an algorithm in one of Knuth's books.&lt;/p&gt;
&lt;p&gt;The algorithm is described in steps with many of the form&amp;nbsp;&lt;/p&gt;
&lt;p&gt;if condition 1 then goto step 7; if condition 2 go to step 8,&amp;nbsp;&lt;/p&gt;
&lt;p&gt;etc.&lt;/p&gt;
&lt;p&gt;I managed to write up the algorithm by making each step&lt;/p&gt;
&lt;p&gt;a procedure, but had trouble with handling global variables.&lt;/p&gt;
&lt;p&gt;&amp;nbsp;&lt;/p&gt;
&lt;p&gt;Is there in Maple some standard method for dealing with such algorithms.&lt;/p&gt;
&lt;p&gt;A friend tells me...</description>
      <guid>99052</guid>
      <pubDate>Tue, 16 Nov 2010 23:42:13 Z</pubDate>
      <itunes:author>eclark</itunes:author>
      <author>eclark</author>
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    <item>
      <title>CANDECOMP/PARAFAC: images as tensors of order 3</title>
      <link>http://www.mapleprimes.com/posts/97861-CANDECOMPPARAFAC-Images-As-Tensors-Of-Order-3?ref=Feed:MaplePrimes:Tagged With algorithm</link>
      <itunes:summary>&lt;p&gt;This post is a further development of my &lt;a href="http://www.mapleprimes.com/questions/97377-Decompose-A-Third-Order-Tensor-Into-Pure-Tensors"&gt;earlier question&lt;/a&gt;&amp;nbsp;in reply to &lt;a href="http://www.mapleprimes.com/posts/97368-Unleasing-Your-Rank-Four-Self"&gt;John's post&lt;/a&gt;. I have implemented a basic version of the CANDECOMP/PARAFAC algorithm referred to on &lt;a href="http://en.wikipedia.org/wiki/Higher-order_singular_value_decomposition"&gt;Wikipedia&lt;/a&gt; and described&amp;nbsp;</itunes:summary>
      <description>&lt;p&gt;This post is a further development of my &lt;a href="http://www.mapleprimes.com/questions/97377-Decompose-A-Third-Order-Tensor-Into-Pure-Tensors"&gt;earlier question&lt;/a&gt;&amp;nbsp;in reply to &lt;a href="http://www.mapleprimes.com/posts/97368-Unleasing-Your-Rank-Four-Self"&gt;John's post&lt;/a&gt;. I have implemented a basic version of the CANDECOMP/PARAFAC algorithm referred to on &lt;a href="http://en.wikipedia.org/wiki/Higher-order_singular_value_decomposition"&gt;Wikipedia&lt;/a&gt; and described&amp;nbsp;</description>
      <guid>97861</guid>
      <pubDate>Sat, 16 Oct 2010 06:23:21 Z</pubDate>
      <itunes:author>epostma</itunes:author>
      <author>epostma</author>
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    <item>
      <title>Decompose a third order tensor into pure tensors?</title>
      <link>http://www.mapleprimes.com/questions/97377-Decompose-A-Third-Order-Tensor-Into-Pure-Tensors?ref=Feed:MaplePrimes:Tagged With algorithm</link>
      <itunes:summary>&lt;p&gt;If you construct the tensor product &lt;em&gt;W&lt;/em&gt; of an &lt;em&gt;m&lt;/em&gt;- and an &lt;em&gt;n&lt;/em&gt;-dimensional vector space, &lt;em&gt;U&lt;/em&gt; and &lt;em&gt;V&lt;/em&gt;, then you can view the elements of &lt;em&gt;W&lt;/em&gt; as &lt;em&gt;m&lt;/em&gt; by &lt;em&gt;n&lt;/em&gt; matrices (by picking a basis for &lt;em&gt;U&lt;/em&gt; and &lt;em&gt;V&lt;/em&gt;). The rank one matrices are the elements that can be written as the tensor product of (nonzero) vectors &lt;em&gt;u&lt;/em&gt; in &lt;em&gt;U&lt;/em&gt; and &lt;em&gt;v&lt;/em&gt; in &lt;em&gt;V&lt;/em&gt;; this corresponds to writing the matrix as &lt;em&gt;u&lt;/em&gt;</itunes:summary>
      <description>&lt;p&gt;If you construct the tensor product &lt;em&gt;W&lt;/em&gt; of an &lt;em&gt;m&lt;/em&gt;- and an &lt;em&gt;n&lt;/em&gt;-dimensional vector space, &lt;em&gt;U&lt;/em&gt; and &lt;em&gt;V&lt;/em&gt;, then you can view the elements of &lt;em&gt;W&lt;/em&gt; as &lt;em&gt;m&lt;/em&gt; by &lt;em&gt;n&lt;/em&gt; matrices (by picking a basis for &lt;em&gt;U&lt;/em&gt; and &lt;em&gt;V&lt;/em&gt;). The rank one matrices are the elements that can be written as the tensor product of (nonzero) vectors &lt;em&gt;u&lt;/em&gt; in &lt;em&gt;U&lt;/em&gt; and &lt;em&gt;v&lt;/em&gt; in &lt;em&gt;V&lt;/em&gt;; this corresponds to writing the matrix as &lt;em&gt;u&lt;/em&gt;</description>
      <guid>97377</guid>
      <pubDate>Fri, 01 Oct 2010 22:55:41 Z</pubDate>
      <itunes:author>epostma</itunes:author>
      <author>epostma</author>
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    <item>
      <title>Sorting Algorithms, now with sound.</title>
      <link>http://www.mapleprimes.com/posts/96223-Sorting-Algorithms-Now-With-Sound?ref=Feed:MaplePrimes:Tagged With algorithm</link>
      <itunes:summary>&lt;p&gt;Although I mostly post about parallel programming, my background is in algorithms and data structures.&amp;nbsp; I have a soft spot for sorting algorithms.&amp;nbsp; It probably started when I did some research into &lt;a href="https://secure.wikimedia.org/wikipedia/en/wiki/Adaptive_sort"&gt;adaptive sorting&lt;/a&gt; as part of my coursework.&amp;nbsp; Anyway, someone added sound to visualizations of different sorting algorithms.&amp;nbsp; I'm not sure if it really helps explain the algorithms any better, but it does make them more interesting to watch.&lt;/p&gt;
&lt;p&gt;&lt;a href="http://www.geek.com/articles/geek-cetera/sorting-algorithms-quite-boring-until-you-add-sound-effects-20100819/"&gt;http://www.geek.com/articles/geek-cetera/sorting-algorithms-quite-boring-until-you-add-sound-effects-20100819/&lt;/a&gt;&lt;/p&gt;
&lt;p&gt;Darin&lt;/p&gt;
</itunes:summary>
      <description>&lt;p&gt;Although I mostly post about parallel programming, my background is in algorithms and data structures.&amp;nbsp; I have a soft spot for sorting algorithms.&amp;nbsp; It probably started when I did some research into &lt;a href="https://secure.wikimedia.org/wikipedia/en/wiki/Adaptive_sort"&gt;adaptive sorting&lt;/a&gt; as part of my coursework.&amp;nbsp; Anyway, someone added sound to visualizations of different sorting algorithms.&amp;nbsp; I'm not sure if it really helps explain the algorithms any better, but it does make them more interesting to watch.&lt;/p&gt;
&lt;p&gt;&lt;a href="http://www.geek.com/articles/geek-cetera/sorting-algorithms-quite-boring-until-you-add-sound-effects-20100819/"&gt;http://www.geek.com/articles/geek-cetera/sorting-algorithms-quite-boring-until-you-add-sound-effects-20100819/&lt;/a&gt;&lt;/p&gt;
&lt;p&gt;Darin&lt;/p&gt;
</description>
      <guid>96223</guid>
      <pubDate>Mon, 23 Aug 2010 18:48:44 Z</pubDate>
      <itunes:author>dohashi</itunes:author>
      <author>dohashi</author>
    </item>
    <item>
      <title>Grading code not simplifying properly... Help!</title>
      <link>http://www.mapleprimes.com/questions/96123-Grading-Code-Not-Simplifying-Properly-Help?ref=Feed:MaplePrimes:Tagged With algorithm</link>
      <itunes:summary>&lt;p&gt;Hi,&lt;/p&gt;
&lt;p&gt;I've recently started creating questions using MapleTA, and at the moment I've hit a stumbling block.&lt;/p&gt;
&lt;p&gt;For a particular question, the students need to enter a formula. When I input the answer in decimal form, the question is graded correctly; when I put it in fractional form, it's not. I've used the simplify command in every perturbation I know, but I can't get it to work.&lt;/p&gt;
&lt;p&gt;More details:&lt;/p&gt;
&lt;p&gt;Algorithm&lt;/p&gt;
&lt;table width="458" height="259"&gt;
&lt;/table&gt;</itunes:summary>
      <description>&lt;p&gt;Hi,&lt;/p&gt;
&lt;p&gt;I've recently started creating questions using MapleTA, and at the moment I've hit a stumbling block.&lt;/p&gt;
&lt;p&gt;For a particular question, the students need to enter a formula. When I input the answer in decimal form, the question is graded correctly; when I put it in fractional form, it's not. I've used the simplify command in every perturbation I know, but I can't get it to work.&lt;/p&gt;
&lt;p&gt;More details:&lt;/p&gt;
&lt;p&gt;Algorithm&lt;/p&gt;
&lt;table width="458" height="259"&gt;
&lt;/table&gt;</description>
      <guid>96123</guid>
      <pubDate>Thu, 19 Aug 2010 07:52:03 Z</pubDate>
      <itunes:author>andrewc</itunes:author>
      <author>andrewc</author>
    </item>
  </channel>
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