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<title>Programming
http://www.maplesoft.com/products/maple/features/feature_detail.aspx?fid=100186&ref=Feed
Maple includes a full featured programming language for that can be used to create scripts, programs, and full applications.Maple includes a full featured programming language for that can be used to create scripts, programs, and full applications.<img src="http://feeds.feedburner.com/~r/maplesoft/~4/__Pmo3YbokE" height="1" width="1"/>100186Mon, 29 Dec 2256 05:00:00 ZComputational Performance with evalhf and Compile: A Newton Fractal Case Study
http://www.maplesoft.com/applications/view.aspx?SID=153683&ref=Feed
<p>This Tips and Techniques article focuses on the relative performance of Maple's various modes for floating-point computations. The example used here is the computation of a particular Newton fractal, which is easily parallelizable. We compute an image representation for this fractal under several computational modes, using both serial and multithreaded computation schemes.</p>
<p>This article is a follow up to a previous Tips and Techniques, <a href="http://www.maplesoft.com/applications/view.aspx?SID=153645">evalhf, Compile, hfloat and all that</a>, which discusses functionality differences amongst Maple's the different floating-point computation modes available in Maple.</p><img src="/view.aspx?si=153683/thumb.jpg" alt="Computational Performance with evalhf and Compile: A Newton Fractal Case Study" align="left"/><p>This Tips and Techniques article focuses on the relative performance of Maple's various modes for floating-point computations. The example used here is the computation of a particular Newton fractal, which is easily parallelizable. We compute an image representation for this fractal under several computational modes, using both serial and multithreaded computation schemes.</p>
<p>This article is a follow up to a previous Tips and Techniques, <a href="http://www.maplesoft.com/applications/view.aspx?SID=153645">evalhf, Compile, hfloat and all that</a>, which discusses functionality differences amongst Maple's the different floating-point computation modes available in Maple.</p><img src="http://feeds.feedburner.com/~r/maplesoft/~4/cCPDBs1BdAI" height="1" width="1"/>153683Fri, 26 Sep 2014 04:00:00 ZDave LinderDave Linderhttp://www.maplesoft.com/view.aspx?SF=153683/float_accel_part2-.mwCounting quadratic residues
http://www.maplesoft.com/applications/view.aspx?SID=153678&ref=Feed
<p>After an introductory overview of a property of the symmetry in the ordered sequence of the quadratic residues modulo n, a formula to count them is provided, as well as to count only those coprime to n. The related Maple procedures are also provided. They are tested with infinite loops of random integers.</p><img src="/view.aspx?si=153678/qres_detail.PNG" alt="Counting quadratic residues" align="left"/><p>After an introductory overview of a property of the symmetry in the ordered sequence of the quadratic residues modulo n, a formula to count them is provided, as well as to count only those coprime to n. The related Maple procedures are also provided. They are tested with infinite loops of random integers.</p><img src="http://feeds.feedburner.com/~r/maplesoft/~4/CZtfqoZX3Js" height="1" width="1"/>153678Tue, 23 Sep 2014 04:00:00 ZGiulio BonfissutoGiulio Bonfissutohttp://www.maplesoft.com/view.aspx?SF=153678/Qres.mwHollywood Math 2
http://www.maplesoft.com/applications/view.aspx?SID=153681&ref=Feed
<p>Over the years, Hollywood has entertained us with many mathematical moments in film and television, often in unexpected places. In this application, you’ll find several examples of Hollywood Math, including Fermat’s Last Theorem and <em>The Simpsons</em>, the Monty Hall problem in <em>21</em>, and a discussion of just how long that runway actually was in <em>The Fast and the Furious</em>. These examples are also presented in <a href="/webinars/recorded/featured.aspx?id=782">Hollywood Math 2: The Recorded Webinar</a>.</p>
<p>For even more examples, see <a href="/applications/view.aspx?SID=6611">Hollywood Math: The Original Episode</a>.</p><img src="/view.aspx?si=153681/HollywoodMath2.jpg" alt="Hollywood Math 2" align="left"/><p>Over the years, Hollywood has entertained us with many mathematical moments in film and television, often in unexpected places. In this application, you’ll find several examples of Hollywood Math, including Fermat’s Last Theorem and <em>The Simpsons</em>, the Monty Hall problem in <em>21</em>, and a discussion of just how long that runway actually was in <em>The Fast and the Furious</em>. These examples are also presented in <a href="/webinars/recorded/featured.aspx?id=782">Hollywood Math 2: The Recorded Webinar</a>.</p>
<p>For even more examples, see <a href="/applications/view.aspx?SID=6611">Hollywood Math: The Original Episode</a>.</p><img src="http://feeds.feedburner.com/~r/maplesoft/~4/eEVXtCU0Otw" height="1" width="1"/>153681Tue, 23 Sep 2014 04:00:00 ZMaplesoftMaplesofthttp://www.maplesoft.com/view.aspx?SF=153681/HollywoodMath2.mwSpeed-up calculation of nextprime
http://www.maplesoft.com/applications/view.aspx?SID=5729&ref=Feed
<p>A speed-up calculation of the functions nextprime and prevprime is intended. In some distributions used it was observed similarities to "Prime Number Races" (primes of the form qn+a).</p><img src="/view.aspx?si=5729/nextprime_19_sm.gif" alt="Speed-up calculation of nextprime" align="left"/><p>A speed-up calculation of the functions nextprime and prevprime is intended. In some distributions used it was observed similarities to "Prime Number Races" (primes of the form qn+a).</p><img src="http://feeds.feedburner.com/~r/maplesoft/~4/nKyQw13YvDk" height="1" width="1"/>5729Thu, 18 Sep 2014 04:00:00 ZGiulio BonfissutoGiulio Bonfissutohttp://www.maplesoft.com/view.aspx?SF=5729/nextprime2.mwSudoku tactile généralisé (version finale)
http://www.maplesoft.com/applications/view.aspx?SID=124424&ref=Feed
<p>Mes 2 maplets de sudoku (à régions n*m) en version finale.</p>
<p>(une interface avec radiobutton,une autre interface avec popupmenu).</p><img src="/view.aspx?si=124424/capsud.PNG" alt="Sudoku tactile généralisé (version finale)" align="left"/><p>Mes 2 maplets de sudoku (à régions n*m) en version finale.</p>
<p>(une interface avec radiobutton,une autre interface avec popupmenu).</p><img src="http://feeds.feedburner.com/~r/maplesoft/~4/4hdwcTAwcrw" height="1" width="1"/>124424Thu, 11 Sep 2014 04:00:00 Zxavier cormierxavier cormierhttp://www.maplesoft.com/view.aspx?SF=124424/sudoku2.zipEducation, simulation and optimisation
http://www.maplesoft.com/company/publications/articles/view.aspx?SID=153672&ref=Feed
Computers are able to now simulate problems in science and engineering at much more rapid rate and with a higher degree of accuracy than "exact methods" could ever hope for. Most problems are so complex today, that they are not amenable to anything other than a numerical solution. In this 20th anniversary edition of Scientific Computing World, Jim Cooper discusses the role of mathematics in both traditional and non-traditional sectors of industry.Computers are able to now simulate problems in science and engineering at much more rapid rate and with a higher degree of accuracy than "exact methods" could ever hope for. Most problems are so complex today, that they are not amenable to anything other than a numerical solution. In this 20th anniversary edition of Scientific Computing World, Jim Cooper discusses the role of mathematics in both traditional and non-traditional sectors of industry.<img src="http://feeds.feedburner.com/~r/maplesoft/~4/z0NO-Y2fVOI" height="1" width="1"/>153672Mon, 25 Aug 2014 04:00:00 ZScientific Computing World Digital EditionScientific Computing World Digital EditionGenerating random numbers efficiently
http://www.maplesoft.com/applications/view.aspx?SID=153662&ref=Feed
Generating (pseudo-)random values is a frequent task in simulations and other programs. For some situations, you want to generate some combinatorial or algebraic values, such as a list or a polynomial; in other situations, you need random numbers, from a distribution that is uniform or more complicated. In this article I'll talk about all of these situations.<img src="/view.aspx?si=153662/thumb.jpg" alt="Generating random numbers efficiently" align="left"/>Generating (pseudo-)random values is a frequent task in simulations and other programs. For some situations, you want to generate some combinatorial or algebraic values, such as a list or a polynomial; in other situations, you need random numbers, from a distribution that is uniform or more complicated. In this article I'll talk about all of these situations.<img src="http://feeds.feedburner.com/~r/maplesoft/~4/33B2RuhGswc" height="1" width="1"/>153662Mon, 18 Aug 2014 04:00:00 ZDr. Erik PostmaDr. Erik Postmahttp://www.maplesoft.com/view.aspx?SF=153662/EfficientRandom1.mwEconomic Pipe Sizer for Process Plants
http://www.maplesoft.com/applications/view.aspx?SID=153659&ref=Feed
<p>Pipework is a large part of the cost of a process plant. Plant designers need to minimize the total cost of this pipework across the lifetime of the plant. The total overall cost is a combination of individual costs related to the:</p>
<ul>
<li>pipe material,</li>
<li>installation, </li>
<li>maintenance, </li>
<li>depreciation, </li>
<li>energy costs for pumping, </li>
<li>liquid parameters, </li>
<li>required flowrate,</li>
<li>pumping efficiencies,</li>
<li>taxes,</li>
<li>and more.</li>
</ul>
<p>The total cost is not a simple linear sum of the individual costs; a more complex relationship is needed.</p>
<p>This application uses the approach described in [1] to find the pipe diameter that minimizes the total lifetime cost. The method involves the iterative solution of an empirical equation using <a href="/support/help/Maple/view.aspx?path=fsolve">Maple’s fsolve function</a> (the code for the application is in the Startup code region).</p>
<p>Users can choose the pipe material (carbon steel, stainless steel, aluminum or brass), and specify the desired fluid flowrate, fluid viscosity and density. The application then solves the empirical equation (using Maple’s fsolve() function) and returns the economically optimal pipe diameter.</p>
<p>Bear in mind that the empirical parameters used in the application vary as economic conditions change. Those used in this application are correct for 1998 and 2008.</p>
<p><em>[1]: "Updating the Rules for Pipe Sizing", Durand et al., Chemical Engineering, January 2010</em></p><img src="/applications/images/app_image_blank_lg.jpg" alt="Economic Pipe Sizer for Process Plants" align="left"/><p>Pipework is a large part of the cost of a process plant. Plant designers need to minimize the total cost of this pipework across the lifetime of the plant. The total overall cost is a combination of individual costs related to the:</p>
<ul>
<li>pipe material,</li>
<li>installation, </li>
<li>maintenance, </li>
<li>depreciation, </li>
<li>energy costs for pumping, </li>
<li>liquid parameters, </li>
<li>required flowrate,</li>
<li>pumping efficiencies,</li>
<li>taxes,</li>
<li>and more.</li>
</ul>
<p>The total cost is not a simple linear sum of the individual costs; a more complex relationship is needed.</p>
<p>This application uses the approach described in [1] to find the pipe diameter that minimizes the total lifetime cost. The method involves the iterative solution of an empirical equation using <a href="/support/help/Maple/view.aspx?path=fsolve">Maple’s fsolve function</a> (the code for the application is in the Startup code region).</p>
<p>Users can choose the pipe material (carbon steel, stainless steel, aluminum or brass), and specify the desired fluid flowrate, fluid viscosity and density. The application then solves the empirical equation (using Maple’s fsolve() function) and returns the economically optimal pipe diameter.</p>
<p>Bear in mind that the empirical parameters used in the application vary as economic conditions change. Those used in this application are correct for 1998 and 2008.</p>
<p><em>[1]: "Updating the Rules for Pipe Sizing", Durand et al., Chemical Engineering, January 2010</em></p><img src="http://feeds.feedburner.com/~r/maplesoft/~4/MjIEVZLJgag" height="1" width="1"/>153659Fri, 15 Aug 2014 04:00:00 ZSamir KhanSamir Khanhttp://www.maplesoft.com/view.aspx?SF=153659/Economic_Pipe_Sizer.mwClickable Calculus
http://www.maplesoft.com/company/publications/articles/view.aspx?SID=153670&ref=Feed
This blog post serves as a sound overview of Clickable Calculus as discussed by Dr. Robert Lopez in a recent webinar. Clickable Calculus allows students to explore the finer points of mathematics using computer algebra software such as Maple, without having to invest time to learn commands.This blog post serves as a sound overview of Clickable Calculus as discussed by Dr. Robert Lopez in a recent webinar. Clickable Calculus allows students to explore the finer points of mathematics using computer algebra software such as Maple, without having to invest time to learn commands.<img src="http://feeds.feedburner.com/~r/maplesoft/~4/YmzebSrgqdY" height="1" width="1"/>153670Thu, 14 Aug 2014 04:00:00 ZText MedicText Medic