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en-us2017 Maplesoft, A Division of Waterloo Maple Inc.Maplesoft Document SystemSat, 29 Apr 2017 15:32:08 GMTSat, 29 Apr 2017 15:32:08 GMTThe latest posts added to MaplePrimeshttp://www.mapleprimes.com/images/mapleprimeswhite.jpgMaplePrimes - Newest Posts
http://www.mapleprimes.com/posts
wwe wrestling videos
http://www.mapleprimes.com/posts/208175-Wwe-Wrestling-Videos?ref=Feed:MaplePrimes:New Posts
<p>SportsFeista, news, views, and reviews. SportFeista brings sports news, latest update, Live Streaming, Live telecast of the sporting events all information available. It covers WWE, Monday Night Raw, Smackdown Live, wrestling main events like Wrestlemania, Survivor Series, Royal Rumble, Payback, Backlash, Fast Lane, Summer Slam, Money In The Bank, Extreme Rules and more. Sports new from the world of Tennis, all major tournament along with all four grand slam. High octane action of Formula 1 Racing. Catch all the action and news from FIFA U-17 football world cup, a complete schedule, and fixture. Apart from that get social media buzz, fans reaction <br>
<a href="http://sportsfeista.com/">http://sportsfeista.com/</a><br>
</p>
<p>SportsFeista, news, views, and reviews. SportFeista brings sports news, latest update, Live Streaming, Live telecast of the sporting events all information available. It covers WWE, Monday Night Raw, Smackdown Live, wrestling main events like Wrestlemania, Survivor Series, Royal Rumble, Payback, Backlash, Fast Lane, Summer Slam, Money In The Bank, Extreme Rules and more. Sports new from the world of Tennis, all major tournament along with all four grand slam. High octane action of Formula 1 Racing. Catch all the action and news from FIFA U-17 football world cup, a complete schedule, and fixture. Apart from that get social media buzz, fans reaction <br>
<a href="http://sportsfeista.com/">http://sportsfeista.com/</a><br>
</p>
208175Sat, 29 Apr 2017 15:08:56 ZsportsfeistasportsfeistaNew user community for Maple T.A. and Möbius
http://www.mapleprimes.com/maplesoftblog/208146-New-User-Community-For-Maple-TA-And-Mbius?ref=Feed:MaplePrimes:New Posts
<p>I am very pleased to announce a new user community centered around Maplesoft's <a href="http://www.maplesoft.com/products/mapleta/">online testing and assessment</a> and <a href="http://www.maplesoft.com/products/mobius/">courseware</a> products. The new site is specifically for instructors and administrators currently using Maple T.A. or Möbius. This community of users are a small, specialised group who we want to bring together so they can share ideas and best practices. To find the community, go to either <a href="http://mapletacommunity.com">mapletacommunity.com</a> or <a href="http://mobiuscommunity.com">mobiuscommunity.com</a>.</p>
<p>"<em>The Maple T.A. Community has grown organically to support new developers as they pool their knowledge and queries. This has resulted in a fluid searchable structure, with answers available for all levels of question - from beginner to pushing the frontiers of what Maple T.A. has been designed to do. Our summer student interns rely on the Community as they become proficient in their question writing skills - and many have become contributors as they realise that they are in a position to teach others. Opening it out more broadly will be great in sharing good practice on a 'need to know now' basis</em>.”</p>
<p>----Professor Nicola Wilkin, University of Birmingham</p>
<p> </p>
<p><strong>What content is in the community?</strong></p>
<p>The community has many posts from active Maple T.A. and Möbius users from beginners to advanced users. The site is broken down into categories like 'Best Practices' - longer form posts that cover a broader concept in more detail and 'Quick Code snippets' that are small piece of code that you can drop straight into your question algorithms.</p>
<p>Much of the content is openly available and can be found by google, however there is additional content that can only be accessed by members of the community, such as the Maple T.A. school material which teaches you how to author content in Maple T.A. and Möbius.</p>
<p> </p>
<p><strong>Who runs the community</strong></p>
<p>The community is jointly run by users based at the University of Birmingham, TU Wien, The University of Turin and TU Delft.</p>
<p> </p>
<p><strong>How does this fit into Mapleprimes?</strong></p>
<p>It began as an offshoot of a private, internal customer forum. As this community grows, the ultimate goal is to eventually roll it into MaplePrimes proper. But this alternative site gave us the quickest way to get up and running. Maple T.A. and Möbius questions and posts are still welcome on MaplePrimes, and will continue to be monitored by Maplesoft.</p>
<p> </p>
<p><strong>How do I access the community?</strong></p>
<p>You can find the community by going to either <a href="http://mapletacommunity.com">mapletacommunity.com</a> or <a href="http://mobiuscommunity.com">mobiuscommunity.com</a>.</p>
<p> </p>
<p><strong>Where else can I get support for Maple T.A. and Mobiüs?</strong></p>
<p>Official support for Maple T.A. and Möbius is provided by the wonderful Customer Success Team at Maplesoft. You can contact them at <a href="mailto:help@maplesoft.com">help@maplesoft.com</a>. For other contact methods see <a href="http://www.maplesoft.com/support/">www.maplesoft.com/support/</a>.</p>
<p> </p>
<p>I am very pleased to announce a new user community centered around Maplesoft's <a href="http://www.maplesoft.com/products/mapleta/">online testing and assessment</a> and <a href="http://www.maplesoft.com/products/mobius/">courseware</a> products. The new site is specifically for instructors and administrators currently using Maple T.A. or Möbius. This community of users are a small, specialised group who we want to bring together so they can share ideas and best practices. To find the community, go to either <a href="http://mapletacommunity.com">mapletacommunity.com</a> or <a href="http://mobiuscommunity.com">mobiuscommunity.com</a>.</p>
<p>"<em>The Maple T.A. Community has grown organically to support new developers as they pool their knowledge and queries. This has resulted in a fluid searchable structure, with answers available for all levels of question - from beginner to pushing the frontiers of what Maple T.A. has been designed to do. Our summer student interns rely on the Community as they become proficient in their question writing skills - and many have become contributors as they realise that they are in a position to teach others. Opening it out more broadly will be great in sharing good practice on a 'need to know now' basis</em>.”</p>
<p>----Professor Nicola Wilkin, University of Birmingham</p>
<p> </p>
<p><strong>What content is in the community?</strong></p>
<p>The community has many posts from active Maple T.A. and Möbius users from beginners to advanced users. The site is broken down into categories like 'Best Practices' - longer form posts that cover a broader concept in more detail and 'Quick Code snippets' that are small piece of code that you can drop straight into your question algorithms.</p>
<p>Much of the content is openly available and can be found by google, however there is additional content that can only be accessed by members of the community, such as the Maple T.A. school material which teaches you how to author content in Maple T.A. and Möbius.</p>
<p> </p>
<p><strong>Who runs the community</strong></p>
<p>The community is jointly run by users based at the University of Birmingham, TU Wien, The University of Turin and TU Delft.</p>
<p> </p>
<p><strong>How does this fit into Mapleprimes?</strong></p>
<p>It began as an offshoot of a private, internal customer forum. As this community grows, the ultimate goal is to eventually roll it into MaplePrimes proper. But this alternative site gave us the quickest way to get up and running. Maple T.A. and Möbius questions and posts are still welcome on MaplePrimes, and will continue to be monitored by Maplesoft.</p>
<p> </p>
<p><strong>How do I access the community?</strong></p>
<p>You can find the community by going to either <a href="http://mapletacommunity.com">mapletacommunity.com</a> or <a href="http://mobiuscommunity.com">mobiuscommunity.com</a>.</p>
<p> </p>
<p><strong>Where else can I get support for Maple T.A. and Mobiüs?</strong></p>
<p>Official support for Maple T.A. and Möbius is provided by the wonderful Customer Success Team at Maplesoft. You can contact them at <a href="mailto:help@maplesoft.com">help@maplesoft.com</a>. For other contact methods see <a href="http://www.maplesoft.com/support/">www.maplesoft.com/support/</a>.</p>
<p> </p>
208146Thu, 20 Apr 2017 14:18:32 ZjwatkinsjwatkinsWelcome to Möbius
http://www.mapleprimes.com/maplesoftblog/208140-Welcome-To-Mbius?ref=Feed:MaplePrimes:New Posts
<p><img src="/view.aspx?sf=208140_post/MobiusLaunchBlogPost_Header.jpg"></p>
<p> </p>
<p>I am pleased to announce the public release of <a href="http://www.maplesoft.com/products/Mobius/">Möbius</a>, the online courseware environment that focuses on science, technology, engineering, and mathematics education. After months of extensive pilot testing at select leading academic institutions around the world, Möbius is now available to everyone for your online learning needs.</p>
<p>We are very excited about Möbius. As you can imagine, many of us here at Maplesoft have backgrounds in STEM fields, and we are truly excited to be working on a project that gives students a hands-on approach to learning math-based content. You can’t learn math (or science, or engineering, or …) just by reading about it or listening to someone talk about it. You have to <em>do</em> it, and that’s what Möbius lets students do, online, with instant feedback. Not only can students explore concepts interactively, but they can find out immediately what they’ve understood and what they haven’t - not a few hours after the lecture as they are reviewing their notes, not two weeks later when they get their assignments back, but while they are in the middle of learning the lesson.</p>
<p>During its pilot phase, Möbius was used by multiple institutions around the world for a variety of projects, such as preparing students in advance for their first year math and engineering courses, and for complete online courses. Over one hundred thousand students have already used Möbius, and the experiences of these students and their instructors has fed back into the development process, resulting in this public release. You can read about the experiences of the <a href="http://www.maplesoft.com/company/casestudies/stories/Mobius_UW.aspx">University of Waterloo</a>, the <a href="http://www.maplesoft.com/company/casestudies/Stories/Instructor-uses-Mobius-to-enhance-learning-for-first-year-engineering-students.aspx">University of Birmingham</a>, and the <a href="http://www.maplesoft.com/company/casestudies/Stories/Perimeter_Institute.aspx">Perimeter Institute for Theoretical Physics</a> on our web site.</p>
<p>We are also happy to announce that Maplesoft has partnered with the University of Waterloo, one of the largest institutions in the world for STEM education, to provide institutions and professors with rich online courses and materials that enable students to learn by doing. These Möbius courses are created by experts at the University of Waterloo for use by their own students and for their outreach programs, and will be made available to other Möbius users. Course materials range from late high school to the graduate level, with initial offerings available soon and many more to follow.</p>
<p>Visit the <a href="http://www.maplesoft.com/products/Mobius/">Möbius</a> section of our web site for lots more information, including videos, whitepapers, case studies, and upcoming user summits.</p>
<p><img src="/view.aspx?sf=208140_post/MobiusLaunchBlogPost_Header.jpg"></p>
<p> </p>
<p>I am pleased to announce the public release of <a href="http://www.maplesoft.com/products/Mobius/">Möbius</a>, the online courseware environment that focuses on science, technology, engineering, and mathematics education. After months of extensive pilot testing at select leading academic institutions around the world, Möbius is now available to everyone for your online learning needs.</p>
<p>We are very excited about Möbius. As you can imagine, many of us here at Maplesoft have backgrounds in STEM fields, and we are truly excited to be working on a project that gives students a hands-on approach to learning math-based content. You can’t learn math (or science, or engineering, or …) just by reading about it or listening to someone talk about it. You have to <em>do</em> it, and that’s what Möbius lets students do, online, with instant feedback. Not only can students explore concepts interactively, but they can find out immediately what they’ve understood and what they haven’t - not a few hours after the lecture as they are reviewing their notes, not two weeks later when they get their assignments back, but while they are in the middle of learning the lesson.</p>
<p>During its pilot phase, Möbius was used by multiple institutions around the world for a variety of projects, such as preparing students in advance for their first year math and engineering courses, and for complete online courses. Over one hundred thousand students have already used Möbius, and the experiences of these students and their instructors has fed back into the development process, resulting in this public release. You can read about the experiences of the <a href="http://www.maplesoft.com/company/casestudies/stories/Mobius_UW.aspx">University of Waterloo</a>, the <a href="http://www.maplesoft.com/company/casestudies/Stories/Instructor-uses-Mobius-to-enhance-learning-for-first-year-engineering-students.aspx">University of Birmingham</a>, and the <a href="http://www.maplesoft.com/company/casestudies/Stories/Perimeter_Institute.aspx">Perimeter Institute for Theoretical Physics</a> on our web site.</p>
<p>We are also happy to announce that Maplesoft has partnered with the University of Waterloo, one of the largest institutions in the world for STEM education, to provide institutions and professors with rich online courses and materials that enable students to learn by doing. These Möbius courses are created by experts at the University of Waterloo for use by their own students and for their outreach programs, and will be made available to other Möbius users. Course materials range from late high school to the graduate level, with initial offerings available soon and many more to follow.</p>
<p>Visit the <a href="http://www.maplesoft.com/products/Mobius/">Möbius</a> section of our web site for lots more information, including videos, whitepapers, case studies, and upcoming user summits.</p>
208140Wed, 19 Apr 2017 17:48:47 ZMatt LasherMatt LasherBug in pdsolve, numeric
http://www.mapleprimes.com/posts/208101-Bug-In-Pdsolve-Numeric?ref=Feed:MaplePrimes:New Posts
<p>Let us consider </p>
<pre class="prettyprint">
sol := pdsolve({diff(u(x, t), t)-(diff(v(x, t), x))+u(x, t)+v(x, t) = (1+t)*x+(x-1)*t^2, diff(v(x, t), t)-(diff(u(x, t), x))+u(x, t)+v(x, t) = (1+t)*x*t+(2*x-1)*t}, {u(0, t) = 0, u(x, 0) = 0, v(0, t) = 0, v(x, 0) = 0}, time = t, numeric, timestep = 0.1e-1, spacestep = 0.1e-1, range = 0 .. 1);
sol:-plot3d(v(x, t), x = 0 .. 1, t = 0 .. 1);</pre>
<p>A nice plot similar to the one produced by Mma (see the attached pdf file <a href="/view.aspx?sf=208101_post/pdesystem.pdf">pdesystem.pdf</a>) is expected. <br>
The exact solutions u(x,t)=x*t,v(x,t)=x*t^2 are known</p>
<pre class="prettyprint">
pdetest({u(x, t) = x*t, v(x, t) = x*t^2}, {diff(u(x, t), t)-(diff(v(x, t), x))+u(x, t)+v(x, t) =
(1+t)*x+(x-1)*t^2, diff(v(x, t), t)-(diff(u(x, t), x))+u(x, t)+v(x, t) = (1+t)*x*t+(2*x-1)*t});
{0}</pre>
<p>But the wrong result</p>
<p> module() ... end module <br>
Error, (in pdsolve/numeric/plot3d) unable to compute solution for t>HFloat(0.26000000000000006):<br>
solution becomes undefined, problem may be ill posed or method may be ill suited to solution</p>
<p>is obtained. Also </p>
<pre class="prettyprint">
sol:-plot3d(v(x, t), x = 0 .. 1, t = 0 ..0.1);</pre>
<p><br>
<img src="/view.aspx?sf=208101_post/plot.png"></p>
<p> </p>
<p>The plot </p>
<pre class="prettyprint">
sol:-plot3d(v(x, t), x = 0 .. .5, t = 0 .. .1);</pre>
<p>is not better.</p>
<p>Let us consider </p>
<pre class="prettyprint">
sol := pdsolve({diff(u(x, t), t)-(diff(v(x, t), x))+u(x, t)+v(x, t) = (1+t)*x+(x-1)*t^2, diff(v(x, t), t)-(diff(u(x, t), x))+u(x, t)+v(x, t) = (1+t)*x*t+(2*x-1)*t}, {u(0, t) = 0, u(x, 0) = 0, v(0, t) = 0, v(x, 0) = 0}, time = t, numeric, timestep = 0.1e-1, spacestep = 0.1e-1, range = 0 .. 1);
sol:-plot3d(v(x, t), x = 0 .. 1, t = 0 .. 1);</pre>
<p>A nice plot similar to the one produced by Mma (see the attached pdf file <a href="/view.aspx?sf=208101_post/pdesystem.pdf">pdesystem.pdf</a>) is expected. <br>
The exact solutions u(x,t)=x*t,v(x,t)=x*t^2 are known</p>
<pre class="prettyprint">
pdetest({u(x, t) = x*t, v(x, t) = x*t^2}, {diff(u(x, t), t)-(diff(v(x, t), x))+u(x, t)+v(x, t) =
(1+t)*x+(x-1)*t^2, diff(v(x, t), t)-(diff(u(x, t), x))+u(x, t)+v(x, t) = (1+t)*x*t+(2*x-1)*t});
{0}</pre>
<p>But the wrong result</p>
<p> module() ... end module <br>
Error, (in pdsolve/numeric/plot3d) unable to compute solution for t>HFloat(0.26000000000000006):<br>
solution becomes undefined, problem may be ill posed or method may be ill suited to solution</p>
<p>is obtained. Also </p>
<pre class="prettyprint">
sol:-plot3d(v(x, t), x = 0 .. 1, t = 0 ..0.1);</pre>
<p><br>
<img src="/view.aspx?sf=208101_post/plot.png"></p>
<p> </p>
<p>The plot </p>
<pre class="prettyprint">
sol:-plot3d(v(x, t), x = 0 .. .5, t = 0 .. .1);</pre>
<p>is not better.</p>
208101Mon, 10 Apr 2017 04:53:28 ZMarkiyan HirnykMarkiyan HirnykCollatz ... again
http://www.mapleprimes.com/posts/208017-Collatz--Again?ref=Feed:MaplePrimes:New Posts
<p>Hi everybody,</p>
<p>The Collatz conjecture can be used to give students a taste of a topic in Number Theory. See the Wikipedia article for a good explaination.</p>
<p><a href="https://en.wikipedia.org/wiki/Collatz_conjecture">https://en.wikipedia.org/wiki/Collatz_conjecture</a></p>
<p>Also, a conjecture is something that is probrably true. Enjoy my little Maple procedure. (in .mw and .pdf forms)</p>
<p><a href="/view.aspx?sf=208017_post/Collatz_third_time.mw">Collatz_third_time.mw</a></p>
<p><a href="/view.aspx?sf=208017_post/Collatz_third_time.pdf">Collatz_third_time.pdf</a></p>
<p>Comments are appreciated.</p>
<p>Matt</p>
<p> </p>
<p>Hi everybody,</p>
<p>The Collatz conjecture can be used to give students a taste of a topic in Number Theory. See the Wikipedia article for a good explaination.</p>
<p><a href="https://en.wikipedia.org/wiki/Collatz_conjecture">https://en.wikipedia.org/wiki/Collatz_conjecture</a></p>
<p>Also, a conjecture is something that is probrably true. Enjoy my little Maple procedure. (in .mw and .pdf forms)</p>
<p><a href="/view.aspx?sf=208017_post/Collatz_third_time.mw">Collatz_third_time.mw</a></p>
<p><a href="/view.aspx?sf=208017_post/Collatz_third_time.pdf">Collatz_third_time.pdf</a></p>
<p>Comments are appreciated.</p>
<p>Matt</p>
<p> </p>
208017Thu, 23 Mar 2017 09:53:35 ZMatt C AndersonMatt C AndersonSEEMOUS 2017
http://www.mapleprimes.com/posts/207975-SEEMOUS-2017?ref=Feed:MaplePrimes:New Posts
<p>Here is a problem from SEEMOUS 2017 (South Eastern European Mathematical Olympiad for University Students)<br>
which Maple can solve (with a little help).</p>
<p><em>For k a fixed nonnegative integer, compute:</em></p>
<p><strong>Sum( binomial(i,k) * ( exp(1) - Sum(1/j!, j=0..i) ), i=k..infinity );</strong></p>
<p><img alt="" src="data:image/png;base64,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"></p>
<p>(It is the last one, theoretically the most difficult.)</p>
<p>Here is a problem from SEEMOUS 2017 (South Eastern European Mathematical Olympiad for University Students)<br>
which Maple can solve (with a little help).</p>
<p><em>For k a fixed nonnegative integer, compute:</em></p>
<p><strong>Sum( binomial(i,k) * ( exp(1) - Sum(1/j!, j=0..i) ), i=k..infinity );</strong></p>
<p><img alt="" src="data:image/png;base64,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"></p>
<p>(It is the last one, theoretically the most difficult.)</p>
207975Tue, 14 Mar 2017 13:43:53 Zvvvv