New Application Center Additions
http://www.maplesoft.com/applications
en-us2017 Maplesoft, A Division of Waterloo Maple Inc.Maplesoft Document SystemWed, 20 Sep 2017 19:54:56 GMTWed, 20 Sep 2017 19:54:56 GMTThe latest content added to the Application Centerhttp://www.mapleprimes.com/images/mapleapps.gifNew Application Center Additions
http://www.maplesoft.com/applications
Prime Number ASCII Art
https://www.maplesoft.com/applications/view.aspx?SID=154298&ref=Feed
This application turns an image into prime number ascii art. The ascii image is made up of digits that
form a single (long!) prime number. This application is the companion to the MaplePrimes blog post, <A HREF="https://www.mapleprimes.com/maplesoftblog/208543-Is-This-The-Most-Maple-Prime-Post-Ever">Is This
the Most Maple Prime Post Ever on MaplePrimes?</A><img src="/view.aspx?si=154298/leaf.PNG" alt="Prime Number ASCII Art" align="left"/>This application turns an image into prime number ascii art. The ascii image is made up of digits that
form a single (long!) prime number. This application is the companion to the MaplePrimes blog post, <A HREF="https://www.mapleprimes.com/maplesoftblog/208543-Is-This-The-Most-Maple-Prime-Post-Ever">Is This
the Most Maple Prime Post Ever on MaplePrimes?</A>154298Wed, 20 Sep 2017 04:00:00 ZJohn MayJohn MayPolarization of Dielectric Sphere .....
https://www.maplesoft.com/applications/view.aspx?SID=154296&ref=Feed
In this worksheet, we investigate the polarization of a dielectric sphere (dot) with a relative permittivitty "epsilon[Dot]" embedded in a dielectric matrix with a relative permittivitty "epsilon[Matrix]" and submitted to an uniform electrostatic field F oriented in z-axis direction. It's a fondamental and popular problem present in most of electromagnetism textbooks. First of all, we express Poisson equation in appropriate coordinates system:
"Delta V(r,theta,phi) = 0". We proceed to a full separation of variables and derive general expression of scalar electrostatic potential V(r,theta,phi). Then we particularize to a dielectric sphere surrounded by a dielectric matrix and give expressions of electrostatic potential V(r,theta) in the meridian plane (x0z) inside and outside the sphere by taking into account:
i) invariance property of the system under rotation around z-axis,
ii) choice of the plane z=0 as a reference of scalar electrostatic potential,
iii) regularity of V(r,theta) at the origine and very far from the sphere,
iv) continuity condition of scalar electrostatic potential V(r,theta) at the sphere surface,
v) continuity condition of normal components of electric displacement field D at the sphere surface.
The obtained expressions of V(r,theta) inside and outside the sphere allows as to derive expressions of electrostatic field F, electric displacement field D and polarization field P inside and outside dielectric dot in spherical coordinates as well as in cartesian rectangular coordinates. The paper is a proof of Maple algebraic and graphical capabilities in tackling the resolution of Poisson equation as a second order partial differential equation and also in displaying scalar electrostatic potential contourplot, electrostatic field lines as well as fieldplots of F, D and P inside and outside dielectric sphere.<img src="/view.aspx?si=154296/fieldplot.PNG" alt="Polarization of Dielectric Sphere ....." align="left"/>In this worksheet, we investigate the polarization of a dielectric sphere (dot) with a relative permittivitty "epsilon[Dot]" embedded in a dielectric matrix with a relative permittivitty "epsilon[Matrix]" and submitted to an uniform electrostatic field F oriented in z-axis direction. It's a fondamental and popular problem present in most of electromagnetism textbooks. First of all, we express Poisson equation in appropriate coordinates system:
"Delta V(r,theta,phi) = 0". We proceed to a full separation of variables and derive general expression of scalar electrostatic potential V(r,theta,phi). Then we particularize to a dielectric sphere surrounded by a dielectric matrix and give expressions of electrostatic potential V(r,theta) in the meridian plane (x0z) inside and outside the sphere by taking into account:
i) invariance property of the system under rotation around z-axis,
ii) choice of the plane z=0 as a reference of scalar electrostatic potential,
iii) regularity of V(r,theta) at the origine and very far from the sphere,
iv) continuity condition of scalar electrostatic potential V(r,theta) at the sphere surface,
v) continuity condition of normal components of electric displacement field D at the sphere surface.
The obtained expressions of V(r,theta) inside and outside the sphere allows as to derive expressions of electrostatic field F, electric displacement field D and polarization field P inside and outside dielectric dot in spherical coordinates as well as in cartesian rectangular coordinates. The paper is a proof of Maple algebraic and graphical capabilities in tackling the resolution of Poisson equation as a second order partial differential equation and also in displaying scalar electrostatic potential contourplot, electrostatic field lines as well as fieldplots of F, D and P inside and outside dielectric sphere.154296Mon, 18 Sep 2017 04:00:00 ZE. H. EL HAROUNY, A. IBRAL, S. NAKRA MOHAJER and J. EL KHAMKHAMIE. H. EL HAROUNY, A. IBRAL, S. NAKRA MOHAJER and J. EL KHAMKHAMIMidpoint Exploration
https://www.maplesoft.com/applications/view.aspx?SID=154295&ref=Feed
The application explores how the midpoints of the lines connecting two circle form circles themselves.<img src="/view.aspx?si=154295/midpoints.PNG" alt="Midpoint Exploration" align="left"/>The application explores how the midpoints of the lines connecting two circle form circles themselves.154295Wed, 13 Sep 2017 04:00:00 ZPaul WeisenhornPaul WeisenhornVector space with projections and forces
https://www.maplesoft.com/applications/view.aspx?SID=154294&ref=Feed
With this application you will learn the beginning of the study of the vectors. Graphing it in a vector space from the plane to the space. You can calculate its fundamental characteristics as triangle laws, projections and strength. App made entirely in Maple for engineering students so they can develop their exercises and save time. It is recommended to first use the native syntax then the embedded components. In Spanish.<img src="/view.aspx?si=154294/vectors.PNG" alt="Vector space with projections and forces" align="left"/>With this application you will learn the beginning of the study of the vectors. Graphing it in a vector space from the plane to the space. You can calculate its fundamental characteristics as triangle laws, projections and strength. App made entirely in Maple for engineering students so they can develop their exercises and save time. It is recommended to first use the native syntax then the embedded components. In Spanish.154294Mon, 11 Sep 2017 04:00:00 ZProf. Lenin Araujo CastilloProf. Lenin Araujo CastilloDisplacement and distance traveled with vectors
https://www.maplesoft.com/applications/view.aspx?SID=154293&ref=Feed
In this app you can use from the creation of curve, birth of the position vector and finally applied to the displacement and the distance traveled. All this application revolves around the creation of a path and the path of a particle over this generated by vectors. You will only have to insert the vector components and the times to evaluate. Designed for engineering students guided through Maple. In Spanish.<img src="/view.aspx?si=154293/desplvp.png" alt="Displacement and distance traveled with vectors" align="left"/>In this app you can use from the creation of curve, birth of the position vector and finally applied to the displacement and the distance traveled. All this application revolves around the creation of a path and the path of a particle over this generated by vectors. You will only have to insert the vector components and the times to evaluate. Designed for engineering students guided through Maple. In Spanish.154293Mon, 28 Aug 2017 04:00:00 ZProf. Lenin Araujo CastilloProf. Lenin Araujo CastilloEigenpairs: What are they and how they are found
https://www.maplesoft.com/applications/view.aspx?SID=154291&ref=Feed
Clearly, Maple can compute eigenpairs (eigenvalues and eigenvectors) for a matrix, but of what help is Maple in getting across the concept of an eigenpair, and relating that insight to the standard algorithms students are expected to use to find them? This application is the companion Maple document to the webinar “Eigenpairs in Maple”, presented by Dr. Robert Lopez. In both the webinar and this application, he demonstrates how Maple can enhance the task of teaching the eigenpair concept, and shows how Maple bridges the gap between the concept and the algorithms.
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<B>View the Recorded Webinar:</B><BR>
<A HREF="/webinars/recorded/featured.aspx?id=1181">Eigenpairs in Maple</A><img src="/view.aspx?si=154291/eigenpair.jpg" alt="Eigenpairs: What are they and how they are found" align="left"/>Clearly, Maple can compute eigenpairs (eigenvalues and eigenvectors) for a matrix, but of what help is Maple in getting across the concept of an eigenpair, and relating that insight to the standard algorithms students are expected to use to find them? This application is the companion Maple document to the webinar “Eigenpairs in Maple”, presented by Dr. Robert Lopez. In both the webinar and this application, he demonstrates how Maple can enhance the task of teaching the eigenpair concept, and shows how Maple bridges the gap between the concept and the algorithms.
<BR><BR>
<B>View the Recorded Webinar:</B><BR>
<A HREF="/webinars/recorded/featured.aspx?id=1181">Eigenpairs in Maple</A>154291Fri, 25 Aug 2017 04:00:00 ZDr. Robert LopezDr. Robert LopezClassroom Tips and Techniques: The Partial Fraction Decomposition
https://www.maplesoft.com/applications/view.aspx?SID=1753&ref=Feed
The algebraic technique of partial fraction decomposition typically appears first in the integral calculus course as part of the methodology of integrating rational functions; and second, in any course such as differential equations where Laplace transforms must be inverted. If the Laplace transform is used in an engineering course, partial fraction decompositions must generally be implemented over the complex field so that all factors are linear.
This column describes how to obtain the partial fraction decomposition in Maple, either with irreducible quadratic factors or with strictly linear factors. We also suggest some pedagogic devices for providing insight into the algebraic processes involved.<img src="/view.aspx?si=1753/partialfrac.PNG" alt="Classroom Tips and Techniques: The Partial Fraction Decomposition" align="left"/>The algebraic technique of partial fraction decomposition typically appears first in the integral calculus course as part of the methodology of integrating rational functions; and second, in any course such as differential equations where Laplace transforms must be inverted. If the Laplace transform is used in an engineering course, partial fraction decompositions must generally be implemented over the complex field so that all factors are linear.
This column describes how to obtain the partial fraction decomposition in Maple, either with irreducible quadratic factors or with strictly linear factors. We also suggest some pedagogic devices for providing insight into the algebraic processes involved.1753Fri, 25 Aug 2017 04:00:00 ZDr. Robert LopezDr. Robert LopezClassroom Tips and Techniques: Eigenvalue Problems for ODEs
https://www.maplesoft.com/applications/view.aspx?SID=4971&ref=Feed
Some boundary value problems for partial differential equations are amenable to analytic techniques. For example, the constant-coefficient, second-order linear equations called the heat, wave, and potential equations are solved with some type of Fourier series representation obtained from the Sturm-Liouville eigenvalue problem that arises upon separating variables. The role of Maple in the solution of such boundary value problems is examined. Efficient techniques for separating variables, and a way to guide Maple through the solution of the resulting Sturm-Liouville eigenvalue problems are shown.<img src="/view.aspx?si=4971/R-23EigenvalueProblemsforODEs.jpg" alt="Classroom Tips and Techniques: Eigenvalue Problems for ODEs" align="left"/>Some boundary value problems for partial differential equations are amenable to analytic techniques. For example, the constant-coefficient, second-order linear equations called the heat, wave, and potential equations are solved with some type of Fourier series representation obtained from the Sturm-Liouville eigenvalue problem that arises upon separating variables. The role of Maple in the solution of such boundary value problems is examined. Efficient techniques for separating variables, and a way to guide Maple through the solution of the resulting Sturm-Liouville eigenvalue problems are shown.4971Mon, 14 Aug 2017 04:00:00 ZDr. Robert LopezDr. Robert LopezPlot of Position Vector
https://www.maplesoft.com/applications/view.aspx?SID=154290&ref=Feed
This app performs the trace of a given path r(t), then locates the position vector in a specific time. It also graphs the velocity vector, acceleration, tangential and normal unit vectors, along with the binormal. The numerical value of velocity, acceleration and curvature are also observed for a better analysis of the movement of particles in a curvilinear trajectory. Developed for our engineering students. In Spanish.<img src="/view.aspx?si=154290/bnrvp.png" alt="Plot of Position Vector" align="left"/>This app performs the trace of a given path r(t), then locates the position vector in a specific time. It also graphs the velocity vector, acceleration, tangential and normal unit vectors, along with the binormal. The numerical value of velocity, acceleration and curvature are also observed for a better analysis of the movement of particles in a curvilinear trajectory. Developed for our engineering students. In Spanish.154290Thu, 10 Aug 2017 04:00:00 ZProf. Lenin Araujo CastilloProf. Lenin Araujo CastilloTwo dimensional percolation
https://www.maplesoft.com/applications/view.aspx?SID=154288&ref=Feed
This is a percolation package realized as a functional one. We consider a two-dimensional percolation with square cells and square grid. We use three colors: white - dielectric cell, red - conductor cell. The result of the main program is a a check result giving "Yes" if there is a conductive cluster for a randomly generated grid pattern. The conducting cluster is then painted by blue. We check conduction from the bottom to the top of the grid.<img src="/view.aspx?si=154288/percolations1.jpg" alt="Two dimensional percolation" align="left"/>This is a percolation package realized as a functional one. We consider a two-dimensional percolation with square cells and square grid. We use three colors: white - dielectric cell, red - conductor cell. The result of the main program is a a check result giving "Yes" if there is a conductive cluster for a randomly generated grid pattern. The conducting cluster is then painted by blue. We check conduction from the bottom to the top of the grid.154288Sun, 16 Jul 2017 04:00:00 ZKyaw Aunghein and Lin Ko KoKyaw Aunghein and Lin Ko KoFinite Excluded and Included Point Topologies with Maple
https://www.maplesoft.com/applications/view.aspx?SID=154223&ref=Feed
In this application we will compute new issues related to Finite Topological Spaces. The new procedures are: <BR>
<OL>
<LI>A procedure to generate Excluded point topology.
<LI>A procedure to Check if a given topology is Excluded point topology or not.
<LI>A procedure to find the number of proper open sets in a given excluded point topology.
<LI>A procedure to find all excluded point topologies over a given set.
<LI>A procedure to generate included point topology.
<LI>A procedure to check if a given topology is included point topology or not.
<LI>A procedure to find the number of proper open sets in a given included point topology.
<LI>A procedure to find all included point topologies over a given set.
</OL><img src="/applications/images/app_image_blank_lg.jpg" alt="Finite Excluded and Included Point Topologies with Maple" align="left"/>In this application we will compute new issues related to Finite Topological Spaces. The new procedures are: <BR>
<OL>
<LI>A procedure to generate Excluded point topology.
<LI>A procedure to Check if a given topology is Excluded point topology or not.
<LI>A procedure to find the number of proper open sets in a given excluded point topology.
<LI>A procedure to find all excluded point topologies over a given set.
<LI>A procedure to generate included point topology.
<LI>A procedure to check if a given topology is included point topology or not.
<LI>A procedure to find the number of proper open sets in a given included point topology.
<LI>A procedure to find all included point topologies over a given set.
</OL>154223Thu, 13 Jul 2017 04:00:00 ZTaha Guma el turkiTaha Guma el turkiRobot Arm Drawing a Maple Leaf
https://www.maplesoft.com/applications/view.aspx?SID=154276&ref=Feed
This application generates an animation of a 3 DOF robot arm drawing a Maple leaf.
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To model the arm, the worksheet symbolically derives the transformation matrix (via a Denavit & Hartenberg method) for each of the three joints
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The tip of the robot arm is requested to follow a parametric curve that traces out a Maple leaf. The joint angles to achieve this motion are calculated via the transformation matrices.<img src="/view.aspx?si=154276/MapleLeafRobotArm.png" alt="Robot Arm Drawing a Maple Leaf" align="left"/>This application generates an animation of a 3 DOF robot arm drawing a Maple leaf.
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To model the arm, the worksheet symbolically derives the transformation matrix (via a Denavit & Hartenberg method) for each of the three joints
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The tip of the robot arm is requested to follow a parametric curve that traces out a Maple leaf. The joint angles to achieve this motion are calculated via the transformation matrices.154276Tue, 11 Jul 2017 04:00:00 ZSamir KhanSamir KhanPropagation of Plane Gravitational Waves
https://www.maplesoft.com/applications/view.aspx?SID=154275&ref=Feed
Under the condition of weak fields, Einstein's field equation of general relativity can be linearized. The metric perturbation of the flat Minkowski spacetime satisfies the wave equation, and its solution is similar to the solution for electromagnetic waves. This worksheet demonstrates the similarity and difference between electromagnetic waves, which are vector fields, and gravitational waves, which are tensor fields.<img src="/view.aspx?si=154275/mode1.gif" alt="Propagation of Plane Gravitational Waves" align="left"/>Under the condition of weak fields, Einstein's field equation of general relativity can be linearized. The metric perturbation of the flat Minkowski spacetime satisfies the wave equation, and its solution is similar to the solution for electromagnetic waves. This worksheet demonstrates the similarity and difference between electromagnetic waves, which are vector fields, and gravitational waves, which are tensor fields.154275Sun, 09 Jul 2017 04:00:00 ZDr. Frank WangDr. Frank WangMomentum with two variable force
https://www.maplesoft.com/applications/view.aspx?SID=154273&ref=Feed
This app shows the calculation of the final velocity of a body after it made contact with a variable force taking as reference the initial velocity, mass and the graph of the variation of F as a function of time. Made with native maple syntax (use of promt) and embedded components.
In Spanish.<img src="/view.aspx?si=154273/cmimp.png" alt="Momentum with two variable force" align="left"/>This app shows the calculation of the final velocity of a body after it made contact with a variable force taking as reference the initial velocity, mass and the graph of the variation of F as a function of time. Made with native maple syntax (use of promt) and embedded components.
In Spanish.154273Tue, 04 Jul 2017 04:00:00 ZProf. Lenin Araujo CastilloProf. Lenin Araujo CastilloClassroom Tips and Techniques: Green's Functions for Second-Order ODEs
https://www.maplesoft.com/applications/view.aspx?SID=4820&ref=Feed
<p>For second-order ODEs, we compute the Green's function for both initial and boundary value problems. For the boundary value problem, we consider mixed and unmixed boundary conditions, of both homogeneous and nonhomogeneous types. In every case, we compare our solutions to direct solutions using Maple's dsolve command.</p><img src="/view.aspx?si=4820/image.php.gif" alt="Classroom Tips and Techniques: Green's Functions for Second-Order ODEs" align="left"/><p>For second-order ODEs, we compute the Green's function for both initial and boundary value problems. For the boundary value problem, we consider mixed and unmixed boundary conditions, of both homogeneous and nonhomogeneous types. In every case, we compare our solutions to direct solutions using Maple's dsolve command.</p>4820Tue, 04 Jul 2017 04:00:00 ZDr. Robert LopezDr. Robert LopezLattice: A package to model accelerator lattices and beam lines
https://www.maplesoft.com/applications/view.aspx?SID=153970&ref=Feed
The Lattice package is a Maple package to design and analyze charged-particle beam lines and circular machines. It employs a beam-line description using the standard elements (dipoles, quadrupoles and so on) and retains the algebraic power of Maple. Beam-line elements are described using the equations governing the particle motion in algebraic form. In this way it is possible to compute expressions for beam-line parameters like Twiss functions, dispersion and such, for beam
lines or rings, and to perform analysis on these expressions using the full power of Maple.<img src="/view.aspx?si=153970/Lattice.png" alt="Lattice: A package to model accelerator lattices and beam lines" align="left"/>The Lattice package is a Maple package to design and analyze charged-particle beam lines and circular machines. It employs a beam-line description using the standard elements (dipoles, quadrupoles and so on) and retains the algebraic power of Maple. Beam-line elements are described using the equations governing the particle motion in algebraic form. In this way it is possible to compute expressions for beam-line parameters like Twiss functions, dispersion and such, for beam
lines or rings, and to perform analysis on these expressions using the full power of Maple.153970Fri, 30 Jun 2017 04:00:00 ZUli WienandsUli WienandsUsing the New Interactive Plot Builder
https://www.maplesoft.com/applications/view.aspx?SID=154272&ref=Feed
In Maple, Clickable Math covers a broad collection of features aimed at providing the user with easily discoverable, natural functionality for scientific and mathematical computing, without requiring an understanding of Maple syntax, commands, or the Maple programming language. In Maple 2017, a new Interactive Plot Builder joins this collection, providing an easy-to-use interface for creating and customizing a wide variety of 2-D and 3-D plots. In this Tips and Techniques, I will discuss some particular aspects of the new Plot Builder assistant, and how it fits into the Clickable Math framework.<img src="/view.aspx?si=154272/plotbuilder.png" alt="Using the New Interactive Plot Builder" align="left"/>In Maple, Clickable Math covers a broad collection of features aimed at providing the user with easily discoverable, natural functionality for scientific and mathematical computing, without requiring an understanding of Maple syntax, commands, or the Maple programming language. In Maple 2017, a new Interactive Plot Builder joins this collection, providing an easy-to-use interface for creating and customizing a wide variety of 2-D and 3-D plots. In this Tips and Techniques, I will discuss some particular aspects of the new Plot Builder assistant, and how it fits into the Clickable Math framework.154272Fri, 16 Jun 2017 04:00:00 ZDave LinderDave LinderKinematics using syntax
https://www.maplesoft.com/applications/view.aspx?SID=154271&ref=Feed
In this file you will be able to observe and analyze how the exercises and problems of Kinematics and Dynamics are solved using the commands and operators through a very well-structured syntax. Allowing me to save time and use it in interpretation. I hope you can share and spread to break the traditional and unnecessary myths. Only for Engineering and Science. Share if you like.
In Spanish.<img src="/view.aspx?si=154271/kinematicssint.png" alt="Kinematics using syntax" align="left"/>In this file you will be able to observe and analyze how the exercises and problems of Kinematics and Dynamics are solved using the commands and operators through a very well-structured syntax. Allowing me to save time and use it in interpretation. I hope you can share and spread to break the traditional and unnecessary myths. Only for Engineering and Science. Share if you like.
In Spanish.154271Wed, 14 Jun 2017 04:00:00 ZProf. Lenin Araujo CastilloProf. Lenin Araujo CastilloPassword Protection in Maple
https://www.maplesoft.com/applications/view.aspx?SID=154270&ref=Feed
In Maple, worksheets can be password protected so the users of your Maple application can benefit from the specialized routines you've created while the details remain hidden. This Tips and Techniques shows you how to protect your Maple content from editing and viewing, while still allowing others to execute the code within and obtain results.<img src="/view.aspx?si=154270/password.PNG" alt="Password Protection in Maple" align="left"/>In Maple, worksheets can be password protected so the users of your Maple application can benefit from the specialized routines you've created while the details remain hidden. This Tips and Techniques shows you how to protect your Maple content from editing and viewing, while still allowing others to execute the code within and obtain results.154270Tue, 13 Jun 2017 04:00:00 ZGraham JacksonGraham JacksonKinematics Curvilinear
https://www.maplesoft.com/applications/view.aspx?SID=154269&ref=Feed
With this application you can calculate the components of the acceleration. The scalar and vector components of the tangent and the normal. In addition to curvilinear kinetics in polar coordinates. It can be used in different engineers, especially mechanical, civil and more.
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In Spanish.<img src="/view.aspx?si=154269/kc.png" alt="Kinematics Curvilinear" align="left"/>With this application you can calculate the components of the acceleration. The scalar and vector components of the tangent and the normal. In addition to curvilinear kinetics in polar coordinates. It can be used in different engineers, especially mechanical, civil and more.
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In Spanish.154269Sat, 03 Jun 2017 04:00:00 ZProf. Lenin Araujo CastilloProf. Lenin Araujo Castillo