MaplePrimes - Maplesoft Blog
http://www.mapleprimes.com/maplesoftblog
en-us2019 Maplesoft, A Division of Waterloo Maple Inc.Maplesoft Document SystemSat, 21 Sep 2019 19:33:14 GMTSat, 21 Sep 2019 19:33:14 GMTThe latest posts on the Maplesoft Bloghttp://www.mapleprimes.com/images/mapleprimeswhite.jpgMaplePrimes - Maplesoft Blog
http://www.mapleprimes.com/maplesoftblog
Introducing the Maple Companion app!
https://www.mapleprimes.com/maplesoftblog/211180-Introducing-The-Maple-Companion-App?ref=Feed:MaplePrimes:Maplesoft%20Blog
<p>I’m very pleased to announce that we have just released the Maple Companion mobile app for iOS and Android phones. As its name implies, this free app is a complement to Maple. You can use it to take pictures of math you find out in the wild (e.g. in your handwritten notes, on a blackboard, in a textbook), and bring that math into Maple so you can get to work.</p>
<p><img src="/view.aspx?sf=211180_post/maple-companion.png"></p>
<p>The Maple Companion lets you:</p>
<ul>
<li>Avoid the mistakes that can occur when transcribing mathematical expressions into Maple manually</li>
<li>Save time when entering multiple equations into Maple, such as when you are checking your homework or pulling information from a reference book</li>
<li>Push math you’ll need later into Maple now, even if you don’t have your computer handy</li>
</ul>
<p>The Maple Companion is an idea we started playing with recently. We believe it has interesting potential as a tool to help students learn math, and we’d really like your feedback to help shape its future direction. This first release is a step towards that goal, so you can try it out and start thinking about what else you would like to see from an app like this. Should it bring in entire documents? Integrate with tutors and Math Apps? Help students figure out where they went wrong when solving a problem? Let us know what you think!</p>
<p>Visit <a href="https://www.maplesoft.com/products/MapleCompanion/">Maple Companion</a> to learn more, link to the app stores so you can download the app, and access the feedback form. And of course, you are also welcome to give us your ideas in the comment section of this post.</p>
<p>I’m very pleased to announce that we have just released the Maple Companion mobile app for iOS and Android phones. As its name implies, this free app is a complement to Maple. You can use it to take pictures of math you find out in the wild (e.g. in your handwritten notes, on a blackboard, in a textbook), and bring that math into Maple so you can get to work.</p>
<p><img src="/view.aspx?sf=211180_post/maple-companion.png"></p>
<p>The Maple Companion lets you:</p>
<ul>
<li>Avoid the mistakes that can occur when transcribing mathematical expressions into Maple manually</li>
<li>Save time when entering multiple equations into Maple, such as when you are checking your homework or pulling information from a reference book</li>
<li>Push math you’ll need later into Maple now, even if you don’t have your computer handy</li>
</ul>
<p>The Maple Companion is an idea we started playing with recently. We believe it has interesting potential as a tool to help students learn math, and we’d really like your feedback to help shape its future direction. This first release is a step towards that goal, so you can try it out and start thinking about what else you would like to see from an app like this. Should it bring in entire documents? Integrate with tutors and Math Apps? Help students figure out where they went wrong when solving a problem? Let us know what you think!</p>
<p>Visit <a href="https://www.maplesoft.com/products/MapleCompanion/">Maple Companion</a> to learn more, link to the app stores so you can download the app, and access the feedback form. And of course, you are also welcome to give us your ideas in the comment section of this post.</p>
211180Fri, 13 Sep 2019 18:28:28 ZKarishmaKarishmaWe’d Like Your Input! - Updates to FAQs
https://www.mapleprimes.com/maplesoftblog/210951-Wed-Like-Your-Input--Updates-To-FAQs?ref=Feed:MaplePrimes:Maplesoft%20Blog
<p style="margin-left:36.0pt;">We are currently in the process of updating the support FAQs at <a href="https://faq.maplesoft.com">https://faq.maplesoft.com</a>. We’ve been working on updating the existing content for clarity, and have added several new articles already.</p>
<p style="margin-left:36.0pt;"> </p>
<p style="margin-left:36.0pt;">The majority of our FAQs are from questions people ask us in Technical Support at <a href="support@maplesoft.com">support@maplesoft.com</a>, but we’d also like to like to add content from other sources.</p>
<p style="margin-left:36.0pt;">Since we have such a great community here at MaplePrimes, we wanted to reach out and ask if there are any articles or questions that you'd like to see added to our FAQ.</p>
<p style="margin-left:36.0pt;"> </p>
<p style="margin-left:36.0pt;">We look forward to hearing your feedback!</p>
<p style="margin-left:36.0pt;">We are currently in the process of updating the support FAQs at <a href="https://faq.maplesoft.com">https://faq.maplesoft.com</a>. We’ve been working on updating the existing content for clarity, and have added several new articles already.</p>
<p style="margin-left:36.0pt;"> </p>
<p style="margin-left:36.0pt;">The majority of our FAQs are from questions people ask us in Technical Support at <a href="support@maplesoft.com">support@maplesoft.com</a>, but we’d also like to like to add content from other sources.</p>
<p style="margin-left:36.0pt;">Since we have such a great community here at MaplePrimes, we wanted to reach out and ask if there are any articles or questions that you'd like to see added to our FAQ.</p>
<p style="margin-left:36.0pt;"> </p>
<p style="margin-left:36.0pt;">We look forward to hearing your feedback!</p>
210951Fri, 02 Aug 2019 15:06:03 ZTechnicalSupportTechnicalSupportUsing the Lindstedt-Poincaré Method to Account for the Perihelion Precession of Mercury in Maple
https://www.mapleprimes.com/maplesoftblog/210648-Using-The-LindstedtPoincar-Method?ref=Feed:MaplePrimes:Maplesoft%20Blog
<p>We occasionally get asked questions about methods of Perturbation Theory in Maple, including the <a href="https://en.wikipedia.org/wiki/Poincar%C3%A9%E2%80%93Lindstedt_method">Lindstedt-Poincaré Method</a>. Presented here is the most famous application of this method.</p>
<p><strong>Introduction</strong></p>
<p>During the dawn of the 20th Century, one problem that bothered astronomers and astrophysicists was the precession of the perihelion of Mercury. Even when considering the gravity from other planets and objects in the solar system, the equations from Newtonian Mechanics could not account for the discrepancy between the observed and predicted precession.<br>
<br>
One of the early successes of Einstein's General Theory of Relativity was that the new model was able to capture the precession of Mercury, in addition to the orbits of all the other planets. The Einsteinian model, when applied to the orbit of Mercury, was in fact a non-negligible perturbation of the old model. In this post, we show how to use Maple to compute the perturbation, and derive the formula for calculating the precession.<br>
<br>
In polar coordinates, the Einsteinian model can be written in the following form, where <code>u(theta)=a(1-e^2)/r(theta)</code>, with <code>theta</code> being the polar angle, <code>r(theta)</code> being the radial distance, <code>a</code> being the semi-major axis length, and <code>e</code> being the eccentricity of the orbit:<br>
</p>
<pre>
<code># Original system.
f := (u,epsilon) -> -1 - epsilon * u^2;
omega := 1;
u0, du0 := 1 + e, 0;
de1 := diff( u(theta), theta, theta ) + omega^2 * u(theta) + f( u(theta), epsilon );
ic1 := u(0) = u0, D(u)(0) = du0;
</code></pre>
<p><br>
The small parameter <code>epsilon</code> (along with the amount of precession) can be found in terms of the physical constants, but for now we leave it arbitrary:<br>
</p>
<pre>
# Parameters.
P := [
a = 5.7909050e10 * Unit(m),
c = 2.99792458e8 * Unit(m/s),
e = 0.205630,
G = 6.6740831e-11 * Unit(N*m^2/kg^2),
M = 1.9885e30 * Unit(kg),
alpha = 206264.8062,
beta = 415.2030758
];
epsilon = simplify( eval( 3 * G * M / a / ( 1 - e^2 ) / c^2, P ) ); # approximately 7.987552635e-8</pre>
<p><br>
Note that <code>c</code> is the speed of light, <code>G</code> is the gravitational constant, <code>M</code> is the mass of the sun, <code>alpha</code> is the number of arcseconds per radian, and <code>beta</code> is the number of revolutions per century for Mercury.<br>
<br>
We will show that the radial distance, predicted by Einstein's model, is close to that for an ellipse, as predicted by Newton's model, but the <a href="https://en.wikipedia.org/wiki/Two-body_problem_in_general_relativity">perturbation accounts for the precession</a> (42.98 arcseconds/century). During one revolution, the precession can be determined to be approximately<br>
</p>
<pre>
<code>sigma = simplify( eval( 6 * Pi * G * M / a / ( 1 - e^2 ) / c^2, P ) ); # approximately 5.018727337e-7</code></pre>
<p><br>
and so, per century, it is <code>alpha*beta*sigma</code>, which is <strong>approximately 42.98 arcseconds/century</strong>.<br>
It is worth checking out this <a href="https://math.stackexchange.com/questions/2561744/calculating-perihelia-using-maple">question on Stack Exchange</a>, which includes an animation generated numerically using Maple for a similar problem that has a more pronounced precession.<br>
<br>
<strong>Lindstedt-Poincaré Method in Maple</strong><br>
<br>
In order to obtain a perturbation solution to the perturbed differential equation <code>u'+omega^2*u=1+epsilon*u^2</code> which is periodic, we need to write both <code>u</code> and <code>omega</code> as a series in the small parameter <code>epsilon</code>. This is because otherwise, the solution would have unbounded oscillatory terms ("secular terms"). Using this Lindstedt-Poincaré Method, we substitute arbitrary series in <code>epsilon</code> for <code>u</code> and <code>omega</code> into the initial value problem, and then choose the coefficient constants/functions so that both the initial value problem is satisfied and there are no secular terms. Note that a first-order approximation provides plenty of agreement with the measured precession, but higher-order approximations can be obtained.<br>
<br>
To perform this in Maple, we can do the following:<br>
</p>
<pre>
<code># Transformed system, with the new independent variable being the original times a series in epsilon.
de2 := op( PDEtools:-dchange( { theta = phi/b }, { de1 }, { phi }, params = { b, epsilon }, simplify = true ) );
ic2 := ic1;</code>
<code># Order and series for the perturbation solutions of u(phi) and b. Here, n = 1 is sufficient.
n := 1;
U := unapply( add( p[k](phi) * epsilon^k, k = 0 .. n ), phi );
B := omega + add( q[k] * epsilon^k, k = 1 .. n );</code>
<code># DE in terms of the series.
de3 := series( eval( de2, [ u = U, b = B ] ), epsilon = 0, n + 1 );</code>
<code># Successively determine the coefficients p[k](phi) and q[k].
for k from 0 to n do</code>
<code> # Specify the initial conditions for the kth DE, which involves p[k](phi).
# The original initial conditions appear only in the coefficient functions with index k = 0,
# and those for k > 1 are all zero.
if k = 0 then
ic3 := op( expand( eval[recurse]( [ ic2 ], [ u = U, epsilon = 0 ] ) ) );
else
ic3 := p[k](0), D(p[k])(0);
end if:</code>
<code> # Solve kth DE, which can be found from the coefficients of the powers of epsilon in de3, for p[k](phi).
# Then, update de3 with the new information.
soln := dsolve( { simplify( coeff( de3, epsilon, k ) ), ic3 } );
p[k] := unapply( rhs( soln ), phi );
de3 := eval( de3 );</code>
<code> # Choose q[k] to eliminate secular terms. To do this, use the frontend() command to keep only the terms in p[k](phi)
# which have powers of t, and then solve for the value of q[k] which makes the expression zero.
# Note that frontend() masks the t-dependence within the sine and cosine terms.
# Note also that this method may need to be amended, based on the form of the terms in p[k](phi).
if k > 0 then
q[1] := solve( frontend( select, [ has, p[k](phi), phi ] ) = 0, q[1] );
de3 := eval( de3 );
end if;</code>
<code>end do:</code>
<code># Final perturbation solution.
'u(theta)' = eval( eval( U(phi), phi = B * theta ) ) + O( epsilon^(n+1) );</code>
<code># Angular precession in one revolution.
sigma := convert( series( 2 * Pi * (1/B-1), epsilon = 0, n + 1 ), polynom ):
epsilon := 3 * G * M / a / ( 1 - e^2 ) / c^2;
'sigma' = sigma;</code>
<code># Precession per century.
xi := simplify( eval( sigma * alpha * beta, P ) ); # returns approximately 42.98</code></pre>
<p><br>
<strong>Maple Worksheet:</strong> <a href="/view.aspx?sf=210648_post/Lindstedt-Poincare_Method.mw">Lindstedt-Poincare_Method.mw</a></p>
<p>We occasionally get asked questions about methods of Perturbation Theory in Maple, including the <a href="https://en.wikipedia.org/wiki/Poincar%C3%A9%E2%80%93Lindstedt_method">Lindstedt-Poincaré Method</a>. Presented here is the most famous application of this method.</p>
<p><strong>Introduction</strong></p>
<p>During the dawn of the 20th Century, one problem that bothered astronomers and astrophysicists was the precession of the perihelion of Mercury. Even when considering the gravity from other planets and objects in the solar system, the equations from Newtonian Mechanics could not account for the discrepancy between the observed and predicted precession.<br>
<br>
One of the early successes of Einstein's General Theory of Relativity was that the new model was able to capture the precession of Mercury, in addition to the orbits of all the other planets. The Einsteinian model, when applied to the orbit of Mercury, was in fact a non-negligible perturbation of the old model. In this post, we show how to use Maple to compute the perturbation, and derive the formula for calculating the precession.<br>
<br>
In polar coordinates, the Einsteinian model can be written in the following form, where <code>u(theta)=a(1-e^2)/r(theta)</code>, with <code>theta</code> being the polar angle, <code>r(theta)</code> being the radial distance, <code>a</code> being the semi-major axis length, and <code>e</code> being the eccentricity of the orbit:<br>
</p>
<pre>
<code># Original system.
f := (u,epsilon) -> -1 - epsilon * u^2;
omega := 1;
u0, du0 := 1 + e, 0;
de1 := diff( u(theta), theta, theta ) + omega^2 * u(theta) + f( u(theta), epsilon );
ic1 := u(0) = u0, D(u)(0) = du0;
</code></pre>
<p><br>
The small parameter <code>epsilon</code> (along with the amount of precession) can be found in terms of the physical constants, but for now we leave it arbitrary:<br>
</p>
<pre>
# Parameters.
P := [
a = 5.7909050e10 * Unit(m),
c = 2.99792458e8 * Unit(m/s),
e = 0.205630,
G = 6.6740831e-11 * Unit(N*m^2/kg^2),
M = 1.9885e30 * Unit(kg),
alpha = 206264.8062,
beta = 415.2030758
];
epsilon = simplify( eval( 3 * G * M / a / ( 1 - e^2 ) / c^2, P ) ); # approximately 7.987552635e-8</pre>
<p><br>
Note that <code>c</code> is the speed of light, <code>G</code> is the gravitational constant, <code>M</code> is the mass of the sun, <code>alpha</code> is the number of arcseconds per radian, and <code>beta</code> is the number of revolutions per century for Mercury.<br>
<br>
We will show that the radial distance, predicted by Einstein's model, is close to that for an ellipse, as predicted by Newton's model, but the <a href="https://en.wikipedia.org/wiki/Two-body_problem_in_general_relativity">perturbation accounts for the precession</a> (42.98 arcseconds/century). During one revolution, the precession can be determined to be approximately<br>
</p>
<pre>
<code>sigma = simplify( eval( 6 * Pi * G * M / a / ( 1 - e^2 ) / c^2, P ) ); # approximately 5.018727337e-7</code></pre>
<p><br>
and so, per century, it is <code>alpha*beta*sigma</code>, which is <strong>approximately 42.98 arcseconds/century</strong>.<br>
It is worth checking out this <a href="https://math.stackexchange.com/questions/2561744/calculating-perihelia-using-maple">question on Stack Exchange</a>, which includes an animation generated numerically using Maple for a similar problem that has a more pronounced precession.<br>
<br>
<strong>Lindstedt-Poincaré Method in Maple</strong><br>
<br>
In order to obtain a perturbation solution to the perturbed differential equation <code>u'+omega^2*u=1+epsilon*u^2</code> which is periodic, we need to write both <code>u</code> and <code>omega</code> as a series in the small parameter <code>epsilon</code>. This is because otherwise, the solution would have unbounded oscillatory terms ("secular terms"). Using this Lindstedt-Poincaré Method, we substitute arbitrary series in <code>epsilon</code> for <code>u</code> and <code>omega</code> into the initial value problem, and then choose the coefficient constants/functions so that both the initial value problem is satisfied and there are no secular terms. Note that a first-order approximation provides plenty of agreement with the measured precession, but higher-order approximations can be obtained.<br>
<br>
To perform this in Maple, we can do the following:<br>
</p>
<pre>
<code># Transformed system, with the new independent variable being the original times a series in epsilon.
de2 := op( PDEtools:-dchange( { theta = phi/b }, { de1 }, { phi }, params = { b, epsilon }, simplify = true ) );
ic2 := ic1;</code>
<code># Order and series for the perturbation solutions of u(phi) and b. Here, n = 1 is sufficient.
n := 1;
U := unapply( add( p[k](phi) * epsilon^k, k = 0 .. n ), phi );
B := omega + add( q[k] * epsilon^k, k = 1 .. n );</code>
<code># DE in terms of the series.
de3 := series( eval( de2, [ u = U, b = B ] ), epsilon = 0, n + 1 );</code>
<code># Successively determine the coefficients p[k](phi) and q[k].
for k from 0 to n do</code>
<code> # Specify the initial conditions for the kth DE, which involves p[k](phi).
# The original initial conditions appear only in the coefficient functions with index k = 0,
# and those for k > 1 are all zero.
if k = 0 then
ic3 := op( expand( eval[recurse]( [ ic2 ], [ u = U, epsilon = 0 ] ) ) );
else
ic3 := p[k](0), D(p[k])(0);
end if:</code>
<code> # Solve kth DE, which can be found from the coefficients of the powers of epsilon in de3, for p[k](phi).
# Then, update de3 with the new information.
soln := dsolve( { simplify( coeff( de3, epsilon, k ) ), ic3 } );
p[k] := unapply( rhs( soln ), phi );
de3 := eval( de3 );</code>
<code> # Choose q[k] to eliminate secular terms. To do this, use the frontend() command to keep only the terms in p[k](phi)
# which have powers of t, and then solve for the value of q[k] which makes the expression zero.
# Note that frontend() masks the t-dependence within the sine and cosine terms.
# Note also that this method may need to be amended, based on the form of the terms in p[k](phi).
if k > 0 then
q[1] := solve( frontend( select, [ has, p[k](phi), phi ] ) = 0, q[1] );
de3 := eval( de3 );
end if;</code>
<code>end do:</code>
<code># Final perturbation solution.
'u(theta)' = eval( eval( U(phi), phi = B * theta ) ) + O( epsilon^(n+1) );</code>
<code># Angular precession in one revolution.
sigma := convert( series( 2 * Pi * (1/B-1), epsilon = 0, n + 1 ), polynom ):
epsilon := 3 * G * M / a / ( 1 - e^2 ) / c^2;
'sigma' = sigma;</code>
<code># Precession per century.
xi := simplify( eval( sigma * alpha * beta, P ) ); # returns approximately 42.98</code></pre>
<p><br>
<strong>Maple Worksheet:</strong> <a href="/view.aspx?sf=210648_post/Lindstedt-Poincare_Method.mw">Lindstedt-Poincare_Method.mw</a></p>
210648Wed, 29 May 2019 20:02:50 ZTechnical SupportTechnical SupportMaple Conference – New Deadline for Submissions
https://www.mapleprimes.com/maplesoftblog/210624-Maple-Conference--New-Deadline-For-Submissions?ref=Feed:MaplePrimes:Maplesoft%20Blog
<p>I just wanted to let everyone know that the Call for Papers and Extended Abstracts deadline for the Maple Conference has been extended to June 14.</p>
<p>The papers and extended abstracts presented at the 2019 Maple Conference will be published in the <em>Communications in Computer and Information Science </em>Series from Springer. We welcome topics that fall into the following broad categories:</p>
<ul>
<li>Maple in Education</li>
<li>Algorithms and Software</li>
<li>Applications of Maple</li>
</ul>
<p>You can learn more about the conference or submit your paper or abstract here: </p>
<p><a href="https://www.maplesoft.com/mapleconference/Papers-and-Presentations.aspx">https://www.maplesoft.com/mapleconference/Papers-and-Presentations.aspx</a></p>
<p>Hope to hear from you soon!</p>
<p>I just wanted to let everyone know that the Call for Papers and Extended Abstracts deadline for the Maple Conference has been extended to June 14.</p>
<p>The papers and extended abstracts presented at the 2019 Maple Conference will be published in the <em>Communications in Computer and Information Science </em>Series from Springer. We welcome topics that fall into the following broad categories:</p>
<ul>
<li>Maple in Education</li>
<li>Algorithms and Software</li>
<li>Applications of Maple</li>
</ul>
<p>You can learn more about the conference or submit your paper or abstract here: </p>
<p><a href="https://www.maplesoft.com/mapleconference/Papers-and-Presentations.aspx">https://www.maplesoft.com/mapleconference/Papers-and-Presentations.aspx</a></p>
<p>Hope to hear from you soon!</p>
210624Fri, 24 May 2019 14:01:19 ZKatKatMapleSim 2019 is now available!
https://www.mapleprimes.com/maplesoftblog/210614-MapleSim-2019-Is-Now-Available?ref=Feed:MaplePrimes:Maplesoft%20Blog
<p>We’re excited to announce that we have just released a new version of MapleSim. The <strong>MapleSim 2019</strong> family of products helps you get the answers you need from your models, with improved performance, increased modeling scope, and more ways to connect to your existing toolchain. Improvements include:<br>
</p>
<ul>
<li>
<p><strong>Faster simulation speeds</strong>, both within MapleSim and when using exported MapleSim models in other tools</p>
</li>
<li>
<p><strong>More simulation options</strong> are now available when running models imported from other systems</p>
</li>
<li>
<p><strong>Additional options for FMI connectivity</strong>, including support for variable-step solvers with imported FMUs, and exporting models using variable step solvers using the MapleSim FMI Connector add-on</p>
</li>
<li>
<p><strong>Improved interactive analysis apps</strong> for Monte Carlo analysis, Optimization, and Parameter Sweep</p>
</li>
<li>
<p><strong>Expanded modeling scope</strong> in hydraulics, electrical, multibody, and more, with new built-in components and support for more external Modelica libraries</p>
</li>
<li>
<p><em>New add-on library</em>: <strong>MapleSim Engine Dynamics Library</strong><b>™</b><strong> from Modelon</strong> provides specialized tools for modeling, simulating, and analyzing the performance of combustion engines</p>
</li>
<li>
<p><em>New add-on connector</em>:<strong> The B&R MapleSim Connector </strong>gives automation projects a powerful, model-based ability to test and visualize control strategies from within B&R Automation Studio<br>
</p>
</li>
</ul>
<p>See <a href="http://www.maplesoft.com/products/maplesim/new/">What’s New in MapleSim 2019</a> for more information about these and other improvements!</p>
<p>We’re excited to announce that we have just released a new version of MapleSim. The <strong>MapleSim 2019</strong> family of products helps you get the answers you need from your models, with improved performance, increased modeling scope, and more ways to connect to your existing toolchain. Improvements include:<br>
</p>
<ul>
<li>
<p><strong>Faster simulation speeds</strong>, both within MapleSim and when using exported MapleSim models in other tools</p>
</li>
<li>
<p><strong>More simulation options</strong> are now available when running models imported from other systems</p>
</li>
<li>
<p><strong>Additional options for FMI connectivity</strong>, including support for variable-step solvers with imported FMUs, and exporting models using variable step solvers using the MapleSim FMI Connector add-on</p>
</li>
<li>
<p><strong>Improved interactive analysis apps</strong> for Monte Carlo analysis, Optimization, and Parameter Sweep</p>
</li>
<li>
<p><strong>Expanded modeling scope</strong> in hydraulics, electrical, multibody, and more, with new built-in components and support for more external Modelica libraries</p>
</li>
<li>
<p><em>New add-on library</em>: <strong>MapleSim Engine Dynamics Library</strong><b>™</b><strong> from Modelon</strong> provides specialized tools for modeling, simulating, and analyzing the performance of combustion engines</p>
</li>
<li>
<p><em>New add-on connector</em>:<strong> The B&R MapleSim Connector </strong>gives automation projects a powerful, model-based ability to test and visualize control strategies from within B&R Automation Studio<br>
</p>
</li>
</ul>
<p>See <a href="http://www.maplesoft.com/products/maplesim/new/">What’s New in MapleSim 2019</a> for more information about these and other improvements!</p>
210614Wed, 22 May 2019 19:59:39 ZCBlinstonCBlinstonMaple Conference - Call for Papers and Extended Abstracts
https://www.mapleprimes.com/maplesoftblog/210555-Maple-Conference--Call-For-Papers-And?ref=Feed:MaplePrimes:Maplesoft%20Blog
<p>Submit your paper or extended abstract to the Maple Conference!</p>
<p>The papers and extended abstracts presented at the 2019 Maple Conference will be published in the <em>Communications in Computer and Information Science </em>Series from Springer. </p>
<p>The deadline to submit is May 27, 2019. </p>
<p>This conference is an amazing opportunity to contribute to the development of technology in academics. I hope that you, or your colleagues and associates, will consider making a contribution.</p>
<p>We welcome topics that fall into the following broad categories:</p>
<ul>
<li>Maple in Education</li>
<li>Algorithms and Software</li>
<li>Applications of Maple</li>
</ul>
<p>You can learn more about the conference or submit your paper or abstract here: </p>
<p><a href="https://www.maplesoft.com/mapleconference/Papers-and-Presentations.aspx">https://www.maplesoft.com/mapleconference/Papers-and-Presentations.aspx</a></p>
<p>Submit your paper or extended abstract to the Maple Conference!</p>
<p>The papers and extended abstracts presented at the 2019 Maple Conference will be published in the <em>Communications in Computer and Information Science </em>Series from Springer. </p>
<p>The deadline to submit is May 27, 2019. </p>
<p>This conference is an amazing opportunity to contribute to the development of technology in academics. I hope that you, or your colleagues and associates, will consider making a contribution.</p>
<p>We welcome topics that fall into the following broad categories:</p>
<ul>
<li>Maple in Education</li>
<li>Algorithms and Software</li>
<li>Applications of Maple</li>
</ul>
<p>You can learn more about the conference or submit your paper or abstract here: </p>
<p><a href="https://www.maplesoft.com/mapleconference/Papers-and-Presentations.aspx">https://www.maplesoft.com/mapleconference/Papers-and-Presentations.aspx</a></p>
210555Mon, 13 May 2019 14:02:15 ZKatKat