Maple Document: New Applications
http://www.maplesoft.com/applications/category.aspx?cid=1337
en-us2017 Maplesoft, A Division of Waterloo Maple Inc.Maplesoft Document SystemTue, 22 Aug 2017 05:16:34 GMTTue, 22 Aug 2017 05:16:34 GMTNew applications in the Maple Document categoryhttp://www.mapleprimes.com/images/mapleapps.gifMaple Document: New Applications
http://www.maplesoft.com/applications/category.aspx?cid=1337
Classroom 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.
<BR><BR>
To model the arm, the worksheet symbolically derives the transformation matrix (via a Denavit & Hartenberg method) for each of the three joints
<BR><BR>
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 CastilloMathematics for Chemistry
https://www.maplesoft.com/applications/view.aspx?SID=154267&ref=Feed
This interactive electronic textbook in the form of Maple worksheets comprises two parts.
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Part I, mathematics for chemistry, is supposed to cover all mathematics that an instructor of chemistry might hope and expect that his students would learn, understand and be able to apply as a result of sufficient courses typically, but not exclusively, presented in departments of mathematics. Its nine chapters include (0) a summary and illustration of useful Maple commands, (1) arithmetic, algebra and elementary functions, (2) plotting, descriptive geometry, trigonometry, series, complex functions, (3) differential calculus of one variable, (4) integral calculus of one variable, (5) multivariate calculus, (6) linear algebra including matrix, vector, eigenvector, vector calculus, tensor, spreadsheet, (7) differential and integral equations, and (8) probability, distribution, treatment of laboratory data, linear and non-linear regression and optimization.
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Part II presents mathematical topics typically taught within chemistry courses, including (9) chemical equilibrium, (10) group theory, (11) graph theory, (12a) introduction to quantum mechanics and quantum chemistry, (14) applications of Fourier transforms in chemistry including electron diffraction, x-ray diffraction, microwave spectra, infrared and Raman spectra and nuclear-magnetic-resonance spectra, and (18) dielectric and magnetic properties of chemical matter.
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Other chapters are in preparation and will be released in due course.<img src="/view.aspx?si=154267/molecule.PNG" alt="Mathematics for Chemistry" align="left"/>This interactive electronic textbook in the form of Maple worksheets comprises two parts.
<BR><BR>
Part I, mathematics for chemistry, is supposed to cover all mathematics that an instructor of chemistry might hope and expect that his students would learn, understand and be able to apply as a result of sufficient courses typically, but not exclusively, presented in departments of mathematics. Its nine chapters include (0) a summary and illustration of useful Maple commands, (1) arithmetic, algebra and elementary functions, (2) plotting, descriptive geometry, trigonometry, series, complex functions, (3) differential calculus of one variable, (4) integral calculus of one variable, (5) multivariate calculus, (6) linear algebra including matrix, vector, eigenvector, vector calculus, tensor, spreadsheet, (7) differential and integral equations, and (8) probability, distribution, treatment of laboratory data, linear and non-linear regression and optimization.
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Part II presents mathematical topics typically taught within chemistry courses, including (9) chemical equilibrium, (10) group theory, (11) graph theory, (12a) introduction to quantum mechanics and quantum chemistry, (14) applications of Fourier transforms in chemistry including electron diffraction, x-ray diffraction, microwave spectra, infrared and Raman spectra and nuclear-magnetic-resonance spectra, and (18) dielectric and magnetic properties of chemical matter.
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Other chapters are in preparation and will be released in due course.154267Tue, 30 May 2017 04:00:00 ZProf. John OgilvieProf. John OgilvieChoropleth Map of Literacy Rates in Sub-Saharan Africa
https://www.maplesoft.com/applications/view.aspx?SID=154251&ref=Feed
This application generates a choropleth map that illustrates literacy rates in subsaharan Africa. Data is sourced from a 2015 UNESCO study.<img src="/view.aspx?si=154251/screengrab.png" alt="Choropleth Map of Literacy Rates in Sub-Saharan Africa" align="left"/>This application generates a choropleth map that illustrates literacy rates in subsaharan Africa. Data is sourced from a 2015 UNESCO study.154251Mon, 29 May 2017 04:00:00 ZSamir KhanSamir KhanCost of Heating a Home with Natural Gas
https://www.maplesoft.com/applications/view.aspx?SID=154254&ref=Feed
This application calculates the cost of heating a house with natural gas, assuming
<UL>
<LI> heat losses through four side walls (each with windows), a roof, and air exchanges with the environment
<LI> and heat gains through a furnace.
</UL>
Historical heating degree day data for Kitchener, Ontario, will be used.
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Only the direct cost of the natural gas is computed; no other costs, such as delivery or taxes, are included.<img src="/view.aspx?si=154254/screengrab.png" alt="Cost of Heating a Home with Natural Gas" align="left"/>This application calculates the cost of heating a house with natural gas, assuming
<UL>
<LI> heat losses through four side walls (each with windows), a roof, and air exchanges with the environment
<LI> and heat gains through a furnace.
</UL>
Historical heating degree day data for Kitchener, Ontario, will be used.
<BR><BR>
Only the direct cost of the natural gas is computed; no other costs, such as delivery or taxes, are included.154254Mon, 29 May 2017 04:00:00 ZSamir KhanSamir KhanLive Earthquake Data
https://www.maplesoft.com/applications/view.aspx?SID=154258&ref=Feed
This application downloads live earthquake data from the USGS website, and plots the location and magnitude on a world map. You can experiment with various map styles and projections.
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If you move the mouse over the points in the visualization, an annotation gives the location and the magnitude of an earthquake
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The world map for this visualization is generated by Maple's map tools.<img src="/view.aspx?si=154258/screengrab.png" alt="Live Earthquake Data" align="left"/>This application downloads live earthquake data from the USGS website, and plots the location and magnitude on a world map. You can experiment with various map styles and projections.
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If you move the mouse over the points in the visualization, an annotation gives the location and the magnitude of an earthquake
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The world map for this visualization is generated by Maple's map tools.154258Mon, 29 May 2017 04:00:00 ZSamir KhanSamir KhanPump Power for Flow between Two Reservoirs
https://www.maplesoft.com/applications/view.aspx?SID=154262&ref=Feed
A pump transfers liquid from one tank to another according to the following schematic, with check valves placed on either side of the pump. Each tank is open to the atmosphere. This worksheet calculates the flow rate in the pipe by solving the Bernoulli equation for the system, taking into account the head added by the pump, and the head loss due to friction and pipe fittings. Additionally, the pump head and pump shaft power is calculated.<img src="/view.aspx?si=154262/screengrab.png" alt="Pump Power for Flow between Two Reservoirs" align="left"/>A pump transfers liquid from one tank to another according to the following schematic, with check valves placed on either side of the pump. Each tank is open to the atmosphere. This worksheet calculates the flow rate in the pipe by solving the Bernoulli equation for the system, taking into account the head added by the pump, and the head loss due to friction and pipe fittings. Additionally, the pump head and pump shaft power is calculated.154262Mon, 29 May 2017 04:00:00 ZSamir KhanSamir KhanPyramidal Horn Design
https://www.maplesoft.com/applications/view.aspx?SID=154263&ref=Feed
This application calculates the optimum design parameters for an X-band pyramidal horn.<img src="/view.aspx?si=154263/screengrab.png" alt="Pyramidal Horn Design" align="left"/>This application calculates the optimum design parameters for an X-band pyramidal horn.154263Mon, 29 May 2017 04:00:00 ZSamir KhanSamir KhanRadiation Pattern and Directivity of an Antenna Array
https://www.maplesoft.com/applications/view.aspx?SID=154264&ref=Feed
The application calculates the array factor and directivity for a uniform linear antenna array, and then plots the radiation pattern.<img src="/view.aspx?si=154264/screengrab.png" alt="Radiation Pattern and Directivity of an Antenna Array" align="left"/>The application calculates the array factor and directivity for a uniform linear antenna array, and then plots the radiation pattern.154264Mon, 29 May 2017 04:00:00 ZSamir KhanSamir Khan