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en-us2020 Maplesoft, A Division of Waterloo Maple Inc.Maplesoft Document SystemSun, 05 Apr 2020 17:22:25 GMTSun, 05 Apr 2020 17:22:25 GMTThe latest posts added to MaplePrimeshttp://www.mapleprimes.com/images/mapleprimeswhite.jpgMaplePrimes - Newest Posts
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Informasi Seputar Slots Online
https://www.mapleprimes.com/posts/212233-Informasi-Seputar-Slots-Online?ref=Feed:MaplePrimes:New Posts
<p>Dengan timbulnya perjudian Situs Informasi <a href="https://depoterusbosku.blogspot.com">Seputar Slots Online</a> , tidak sedikit orang yang tidak mempunyai tempat perjudian di tempat mereka kini dapat berpartisipasi dalam pekerjaan rekreasi yang menyenangkan, spektakuler dan berpotensi berhasil ini. Baik Anda hendak blackjack, poker, pacu kuda atau taruhan olahraga, Anda bakal menemukan sejumlah tawaran judi sangat efektif di web. Game memungkinkan gamer dari semua dunia guna mengakses sejumlah lokasi taruhan terbaik di dunia. Anda kini dapat bertaruh dengan sejumlah nama terbaik dan sangat terkenal di industri game dan yakinlah bahwa Anda bakal mendapatkan pemakaian judi yang sangat efektif dari tidak sedikit di Cafeslot777 yang tertera di halaman hasil penelusuran Anda. Craps sebagai misal mempunyai taruhan yang gampang kelihatan yang jangan Anda bikin dan ada taruhan yang Anda mesti selalu menciptakan taruhan. Dalam roulette, sistem laksana sistem martingale butuh dicegah. Pendekatan Blackjack diimplementasikan dengan benar dapat menciptakan Anda menjadi pemenang besar yang sangat disukai dan besar. slots </p>
<p>Dengan timbulnya perjudian Situs Informasi <a href="https://depoterusbosku.blogspot.com">Seputar Slots Online</a> , tidak sedikit orang yang tidak mempunyai tempat perjudian di tempat mereka kini dapat berpartisipasi dalam pekerjaan rekreasi yang menyenangkan, spektakuler dan berpotensi berhasil ini. Baik Anda hendak blackjack, poker, pacu kuda atau taruhan olahraga, Anda bakal menemukan sejumlah tawaran judi sangat efektif di web. Game memungkinkan gamer dari semua dunia guna mengakses sejumlah lokasi taruhan terbaik di dunia. Anda kini dapat bertaruh dengan sejumlah nama terbaik dan sangat terkenal di industri game dan yakinlah bahwa Anda bakal mendapatkan pemakaian judi yang sangat efektif dari tidak sedikit di Cafeslot777 yang tertera di halaman hasil penelusuran Anda. Craps sebagai misal mempunyai taruhan yang gampang kelihatan yang jangan Anda bikin dan ada taruhan yang Anda mesti selalu menciptakan taruhan. Dalam roulette, sistem laksana sistem martingale butuh dicegah. Pendekatan Blackjack diimplementasikan dengan benar dapat menciptakan Anda menjadi pemenang besar yang sangat disukai dan besar. slots </p>
212233Sun, 05 Apr 2020 17:22:12 ZlaxxusfvlaxxusfvŠ¯oles on an implicit plot
https://www.mapleprimes.com/posts/212215-oles-On-An-Implicit-Plot?ref=Feed:MaplePrimes:New Posts
<p>A way of cutting holes on an implicit plot. <a href="https://www.mapleprimes.com/questions/219995-Finding-A-Convinient-Parametrization-Of-Surfaces#comment233993">This is from the field of numerical parameterization of surfaces.</a> On the example of the surface <strong> x3 = 0.01*exp (x1) / (0.01 + x1^4 + x2^4 + x3^4) </strong> consider the approach to producing holes. The surface is locally parameterized in some suitable way and the place for the hole and its size are selected. In the first example, the parametrization is performed on the basis of the section of the initial surface by perpendicular planes. In the second example, "round" parametrization. It is made on the basis of the cylinder and the planes passing through its axis. Holes can be of any size and any shape. In the figures, the cut out surface sections are colored green and are located above their own holes at an equidistant to the original surface.<br>
<img src="/view.aspx?sf=212215_post/HOL_1.gif"><a href="/view.aspx?sf=212215_post/HOLE_1.mw">HOLE_1.mw</a><img src="/view.aspx?sf=212215_post/HOL_2.gif"><a href="/view.aspx?sf=212215_post/HOLE_2.mw">HOLE_2.mw</a></p>
<p>A way of cutting holes on an implicit plot. <a href="https://www.mapleprimes.com/questions/219995-Finding-A-Convinient-Parametrization-Of-Surfaces#comment233993">This is from the field of numerical parameterization of surfaces.</a> On the example of the surface <strong> x3 = 0.01*exp (x1) / (0.01 + x1^4 + x2^4 + x3^4) </strong> consider the approach to producing holes. The surface is locally parameterized in some suitable way and the place for the hole and its size are selected. In the first example, the parametrization is performed on the basis of the section of the initial surface by perpendicular planes. In the second example, "round" parametrization. It is made on the basis of the cylinder and the planes passing through its axis. Holes can be of any size and any shape. In the figures, the cut out surface sections are colored green and are located above their own holes at an equidistant to the original surface.<br>
<img src="/view.aspx?sf=212215_post/HOL_1.gif"><a href="/view.aspx?sf=212215_post/HOLE_1.mw">HOLE_1.mw</a><img src="/view.aspx?sf=212215_post/HOL_2.gif"><a href="/view.aspx?sf=212215_post/HOLE_2.mw">HOLE_2.mw</a></p>
212215Wed, 01 Apr 2020 17:22:19 Zone manone manHow high is your chance to die for CoViD19 once you have been confirmed infected?
https://www.mapleprimes.com/posts/212189-How-High-Is-Your-Chance-To-Die-For-CoViD19?ref=Feed:MaplePrimes:New Posts
<p>Hi, </p>
<p>The present work is aimed to show how <strong>bayesian inference</strong> methods can be used to infer (= to assess) <strong>the probabilility that a person detected infected by the SARS-Cov2 has to die</strong> (remark I did not write "has to die if it" because one never be sure of the reason of the death).<br>
A lot of details are avaliable in the attached pdf file (I tried to be pedagogic enough so that the people not familiar with bayesian inference can get a global understanding of the subject, many links are provided for quick access to the different notions).<br>
<br>
In particular, I explain why simple mathematics cannot provide a reliable estimate of this probability of death (sometimes referred to as the "death rate") as long as the epidemic continues to spread.<br>
<br>
Even if the approach presented here is rather original, this is not the purpose of this post. <br>
Since a long time I had in mind to post here an application concerning bayesian methods. The CoVid19 outbreak has only provided me with the most high-profile topic to do so.<br>
I will say no more about the inference procedure itself (all the material is given in the attached pdf file) and I will only concentrate on the MAPLE implementation of the solution algorithm.</p>
<p>Bayesian Inference uses generally simple algorithms such as MCMC (Markov Chain Monte Carlo) or ABC (Approximate Bayesian Computation) to mention a few, and their corresponding pseudo code writes generally upon a few tens of lines.<br>
This is something I already done with other languages but I found the task comparatively more difficult with Maple. Probably I was to obsess not to code in Maple as you code in Matlab or R for instance.<br>
At the very end the code I wrote is rather slow, this because of the allocated memory size it uses.<br>
In a question I posed weeks ago (<a href="https://www.mapleprimes.com/questions/229109-How-Can-I-Prevent-The-Creation-Of-Random">How can I prevent the creation of random variables...</a>) Preben gave a solution to limit the burst of the memory: the trick works well but I'm still stuked with memory size problems (Acer also poposed a solution but I wasn't capable to make it works... maybe I was too lazzy to modify deeply my code).<br>
<br>
Anyway, the code is there, in case anyone would like to take up the challenge to make it more efficient (in which case I'll take it).<br>
<br>
Note 1: this code contains a small "Maplet" to help you choose any country in the data file on which you would like to run the inference.<br>
Note 2: Be careful: doing statistics, even bayesian statistics, needs enough data: some countries have history records ranging over a few days , or no recorded death at all; infering something from so loos date will probably be disappointing<br>
<br>
The attached files:</p>
<ul>
<li>The pdf file is the "companion document" where all or most of it is explained.It has been written a few days ago for another purpose and the results it presents were not ontained from the lattest data (march 21, 2020 <a href="https://ourworldindata.org/coronavirus">coronavirus</a>)</li>
<li>xls files are data files, they were loaded yesterday (march 28, 2020) from here <a href="https://ourworldindata.org/coronavirus">coronavirus</a></li>
<li>the mw file... well, I guess you know what it is.<br>
</li>
</ul>
<p><a href="/view.aspx?sf=212189_post/Bayesian_inference.pdf">Bayesian_inference.pdf</a></p>
<p><a href="/view.aspx?sf=212189_post/total-cases-covid-19_NF.xls">total-cases-covid-19_NF.xls</a></p>
<p><a href="/view.aspx?sf=212189_post/total-deaths-covid-19_NF.xls">total-deaths-covid-19_NF.xls</a><br>
<br>
<a href="/view.aspx?sf=212189_post/Bayesian_Inference_ABC+MCMC_NF_2.mw">Bayesian_Inference_ABC+MCMC_NF_2.mw</a></p>
<p><br>
</p>
<p>Hi, </p>
<p>The present work is aimed to show how <strong>bayesian inference</strong> methods can be used to infer (= to assess) <strong>the probabilility that a person detected infected by the SARS-Cov2 has to die</strong> (remark I did not write "has to die if it" because one never be sure of the reason of the death).<br>
A lot of details are avaliable in the attached pdf file (I tried to be pedagogic enough so that the people not familiar with bayesian inference can get a global understanding of the subject, many links are provided for quick access to the different notions).<br>
<br>
In particular, I explain why simple mathematics cannot provide a reliable estimate of this probability of death (sometimes referred to as the "death rate") as long as the epidemic continues to spread.<br>
<br>
Even if the approach presented here is rather original, this is not the purpose of this post. <br>
Since a long time I had in mind to post here an application concerning bayesian methods. The CoVid19 outbreak has only provided me with the most high-profile topic to do so.<br>
I will say no more about the inference procedure itself (all the material is given in the attached pdf file) and I will only concentrate on the MAPLE implementation of the solution algorithm.</p>
<p>Bayesian Inference uses generally simple algorithms such as MCMC (Markov Chain Monte Carlo) or ABC (Approximate Bayesian Computation) to mention a few, and their corresponding pseudo code writes generally upon a few tens of lines.<br>
This is something I already done with other languages but I found the task comparatively more difficult with Maple. Probably I was to obsess not to code in Maple as you code in Matlab or R for instance.<br>
At the very end the code I wrote is rather slow, this because of the allocated memory size it uses.<br>
In a question I posed weeks ago (<a href="https://www.mapleprimes.com/questions/229109-How-Can-I-Prevent-The-Creation-Of-Random" id="ctl00_MainContent_QuestionList_questionsList_ctrl0_questionHeader_title">How can I prevent the creation of random variables...</a>) Preben gave a solution to limit the burst of the memory: the trick works well but I'm still stuked with memory size problems (Acer also poposed a solution but I wasn't capable to make it works... maybe I was too lazzy to modify deeply my code).<br>
<br>
Anyway, the code is there, in case anyone would like to take up the challenge to make it more efficient (in which case I'll take it).<br>
<br>
Note 1: this code contains a small "Maplet" to help you choose any country in the data file on which you would like to run the inference.<br>
Note 2: Be careful: doing statistics, even bayesian statistics, needs enough data: some countries have history records ranging over a few days , or no recorded death at all; infering something from so loos date will probably be disappointing<br>
<br>
The attached files:</p>
<ul>
<li>The pdf file is the "companion document" where all or most of it is explained.It has been written a few days ago for another purpose and the results it presents were not ontained from the lattest data (march 21, 2020 <a href="https://ourworldindata.org/coronavirus">coronavirus</a>)</li>
<li>xls files are data files, they were loaded yesterday (march 28, 2020) from here <a href="https://ourworldindata.org/coronavirus">coronavirus</a></li>
<li>the mw file... well, I guess you know what it is.<br>
</li>
</ul>
<p><a href="/view.aspx?sf=212189_post/Bayesian_inference.pdf">Bayesian_inference.pdf</a></p>
<p><a href="/view.aspx?sf=212189_post/total-cases-covid-19_NF.xls">total-cases-covid-19_NF.xls</a></p>
<p><a href="/view.aspx?sf=212189_post/total-deaths-covid-19_NF.xls">total-deaths-covid-19_NF.xls</a><br>
<br>
<a href="/view.aspx?sf=212189_post/Bayesian_Inference_ABC+MCMC_NF_2.mw">Bayesian_Inference_ABC+MCMC_NF_2.mw</a></p>
<p><br>
</p>
212189Sun, 29 Mar 2020 16:43:16 ZmmcdarammcdaraSymbol - Utilization
https://www.mapleprimes.com/posts/212186-Symbol--Utilization?ref=Feed:MaplePrimes:New Posts
<p> </p>
<p>In maple plot, very many symbols like, diamond, star, solidcircle are available. Many of them may have been used also for teaching purposes.</p>
<p>Recently, someone encountered the need to draw graphs with arrowheads and many solutions may be available as well. But it requires a thorough understanding of maple's features which are infinitely many. My feeling was that an arrow symbol also could be added in the symbol feature so that the option can be used as a plot point in the graph at the graph end points very easily. It can be just like adding a solidbox symbol at any point on the curve.</p>
<p>Hope my suggestions are in order.</p>
<p>Thanks.</p>
<p>Ramakrishnan V</p>
<p> </p>
<p>In maple plot, very many symbols like, diamond, star, solidcircle are available. Many of them may have been used also for teaching purposes.</p>
<p>Recently, someone encountered the need to draw graphs with arrowheads and many solutions may be available as well. But it requires a thorough understanding of maple's features which are infinitely many. My feeling was that an arrow symbol also could be added in the symbol feature so that the option can be used as a plot point in the graph at the graph end points very easily. It can be just like adding a solidbox symbol at any point on the curve.</p>
<p>Hope my suggestions are in order.</p>
<p>Thanks.</p>
<p>Ramakrishnan V</p>
212186Sun, 29 Mar 2020 02:43:33 ZRamakrishnanRamakrishnanPuzzle - cut it into 2 equal parts
https://www.mapleprimes.com/posts/212147-Puzzle--Cut-It-Into-2-Equal-Parts?ref=Feed:MaplePrimes:New Posts
<p>The following puzzle prompted me to write this post: "<strong>A figure is drawn on checkered paper that needs to be cut into 2 equal parts (the cuts must pass along the sides of the squares.)" </strong>(parts are called equal if, after cutting, they can be superimposed on one another, that is, if one of them can be moved, rotated and (if need to) flip so that they completely coincide) (see the <strong>first picture below</strong>). <br>
I could not solve it manually and wrote a procedure called <strong>CutTwoParts</strong> that does this automatically (of course, this procedure applies to other similar puzzles). This procedure uses my procedure <strong>AreIsometric</strong> published earlier <a href="https://www.mapleprimes.com/posts/200157-Testing-Of-Two-Plane-Sets-For-Isometry">https://www.mapleprimes.com/posts/200157-Testing-Of-Two-Plane-Sets-For-Isometry</a> (for convenience, I have included its text here). In the procedure <strong>CutTwoParts </strong> the figure is specified by the coordinates of the centers of the squares of which it consists).<br>
<img src="/view.aspx?sf=212147_post/c4f0d6355cca4061f5d68e1521d29c00.gif" style="height: 341px; width: 400px;"><br>
I advise everyone to first try to solve this puzzle manually in order to feel its non-triviality, and only then load the worksheet with the procedure for automatic solution.<br>
<br>
<br>
For some reason, the worksheet did not load and I was only able to insert the link.</p>
<p><a href="/view.aspx?sf=212147_post/Cuttings.mw">Cuttings.mw</a><br>
<br>
<br>
<br>
</p>
<p>The following puzzle prompted me to write this post: "<strong>A figure is drawn on checkered paper that needs to be cut into 2 equal parts (the cuts must pass along the sides of the squares.)" </strong>(parts are called equal if, after cutting, they can be superimposed on one another, that is, if one of them can be moved, rotated and (if need to) flip so that they completely coincide) (see the <strong>first picture below</strong>). <br>
I could not solve it manually and wrote a procedure called <strong>CutTwoParts</strong> that does this automatically (of course, this procedure applies to other similar puzzles). This procedure uses my procedure <strong>AreIsometric</strong> published earlier <a href="https://www.mapleprimes.com/posts/200157-Testing-Of-Two-Plane-Sets-For-Isometry">https://www.mapleprimes.com/posts/200157-Testing-Of-Two-Plane-Sets-For-Isometry</a> (for convenience, I have included its text here). In the procedure <strong>CutTwoParts </strong> the figure is specified by the coordinates of the centers of the squares of which it consists).<br>
<img src="/view.aspx?sf=212147_post/c4f0d6355cca4061f5d68e1521d29c00.gif" style="height: 341px; width: 400px;"><br>
I advise everyone to first try to solve this puzzle manually in order to feel its non-triviality, and only then load the worksheet with the procedure for automatic solution.<br>
<br>
<br>
For some reason, the worksheet did not load and I was only able to insert the link.</p>
<p><a href="/view.aspx?sf=212147_post/Cuttings.mw">Cuttings.mw</a><br>
<br>
<br>
<br>
</p>
212147Mon, 23 Mar 2020 10:18:01 ZKitonumKitonumFirst equilibrium condition with Maple
https://www.mapleprimes.com/posts/212139-First-Equilibrium-Condition-With-Maple?ref=Feed:MaplePrimes:New Posts
<p>With this application our students of science and engineering in the areas of physics will check the first condition of balance using Maple technology. Only with entering mass and angles we obtain graphs and data for a better interpretation.</p>
<p><a href="/view.aspx?sf=212139_post/First_equilibrium_condition.zip">First_equilibrium_condition.zip</a></p>
<p><iframe allowfullscreen="" height="315" src="https://www.youtube.com/embed/f8C-uV7as1Q" width="560"></iframe></p>
<p>Lenin AC</p>
<p>Ambassador of Maple</p>
<p>With this application our students of science and engineering in the areas of physics will check the first condition of balance using Maple technology. Only with entering mass and angles we obtain graphs and data for a better interpretation.</p>
<p><a href="/view.aspx?sf=212139_post/First_equilibrium_condition.zip">First_equilibrium_condition.zip</a></p>
<p><iframe allow="accelerometer; autoplay; encrypted-media; gyroscope; picture-in-picture" allowfullscreen="" frameborder="0" height="315" src="https://www.youtube.com/embed/f8C-uV7as1Q" width="560"></iframe></p>
<p>Lenin AC</p>
<p>Ambassador of Maple</p>
212139Fri, 20 Mar 2020 20:00:21 ZLenin Araujo CastilloLenin Araujo Castillo