Other: New Applications
https://www.maplesoft.com/applications/category.aspx?cid=183
en-us2020 Maplesoft, A Division of Waterloo Maple Inc.Maplesoft Document SystemThu, 13 Aug 2020 12:13:44 GMTThu, 13 Aug 2020 12:13:44 GMTNew applications in the Other categoryhttps://www.maplesoft.com/images/Application_center_hp.jpgOther: New Applications
https://www.maplesoft.com/applications/category.aspx?cid=183
The Speed of Sound on Mars
https://www.maplesoft.com/applications/view.aspx?SID=154652&ref=Feed
This application computes the speed of sound on Mars with the <A HREF="/support/help/Maple/view.aspx?path=ThermophysicalData/Property">ThermophysicalData:-Property</A> command. The application takes into account the atmospheric composition of Mars, and a recently recorded temperature at Elysium Planitia (the landing site of the Mars Insight).<img src="https://www.maplesoft.com/view.aspx?si=154652/THUMB.png" alt="The Speed of Sound on Mars" style="max-width: 25%;" align="left"/>This application computes the speed of sound on Mars with the <A HREF="/support/help/Maple/view.aspx?path=ThermophysicalData/Property">ThermophysicalData:-Property</A> command. The application takes into account the atmospheric composition of Mars, and a recently recorded temperature at Elysium Planitia (the landing site of the Mars Insight).https://www.maplesoft.com/applications/view.aspx?SID=154652&ref=FeedThu, 30 Jul 2020 04:00:00 ZSamir KhanSamir KhanMinimal Road Radius - From a physics educator's perspective
https://www.maplesoft.com/applications/view.aspx?SID=154648&ref=Feed
This problem solves for the minimal radius of curvature for designing and building a banked curve on a road assuming a constant speed and elevation.
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It is written using the modern mechanics introductory physics approach of Chabay and Sherwood and demonstrates the pedagogical value of Maple's ability to teach physics and to solve problems starting from fundamental principles, i.e., a top-down approach. This is in contrast to most computational systems where one codes starting from a specific example before implementing the fundamental principles.<img src="https://www.maplesoft.com/view.aspx?si=154648/Banked_Curve_Image.jpg" alt="Minimal Road Radius - From a physics educator's perspective" style="max-width: 25%;" align="left"/>This problem solves for the minimal radius of curvature for designing and building a banked curve on a road assuming a constant speed and elevation.
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It is written using the modern mechanics introductory physics approach of Chabay and Sherwood and demonstrates the pedagogical value of Maple's ability to teach physics and to solve problems starting from fundamental principles, i.e., a top-down approach. This is in contrast to most computational systems where one codes starting from a specific example before implementing the fundamental principles.https://www.maplesoft.com/applications/view.aspx?SID=154648&ref=FeedMon, 15 Jun 2020 04:00:00 ZProf. Scot GouldProf. Scot GouldSpeed of Sound in Various Fluids
https://www.maplesoft.com/applications/view.aspx?SID=154641&ref=Feed
This application computes and tabulates the speed of sound in various fluids at standard temperature and pressure, as provided by the ThermophysicalData package (which uses the open-source CoolProp project for fluid properties).
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The list of fluids include water, ethanol, air, ammonia and several others. However, you can use any of the fluids in the ThermophysicalData package (this help page contains a list of available fluids).
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This application also demonstrates the use of the DocumentTools package for tabulating and formatting results.<img src="https://www.maplesoft.com/view.aspx?si=154641/thumb.png" alt="Speed of Sound in Various Fluids" style="max-width: 25%;" align="left"/>This application computes and tabulates the speed of sound in various fluids at standard temperature and pressure, as provided by the ThermophysicalData package (which uses the open-source CoolProp project for fluid properties).
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The list of fluids include water, ethanol, air, ammonia and several others. However, you can use any of the fluids in the ThermophysicalData package (this help page contains a list of available fluids).
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This application also demonstrates the use of the DocumentTools package for tabulating and formatting results.https://www.maplesoft.com/applications/view.aspx?SID=154641&ref=FeedFri, 08 May 2020 04:00:00 ZSamir KhanSamir KhanApplications of Differential Forms in Thermodynamics
https://www.maplesoft.com/applications/view.aspx?SID=154631&ref=Feed
We use Maple's DifferentialGeometry package to derive Maxwell and other mathematical identities in thermodynamics.<img src="https://www.maplesoft.com/view.aspx?si=154631/gradS.png" alt="Applications of Differential Forms in Thermodynamics" style="max-width: 25%;" align="left"/>We use Maple's DifferentialGeometry package to derive Maxwell and other mathematical identities in thermodynamics.https://www.maplesoft.com/applications/view.aspx?SID=154631&ref=FeedSat, 11 Apr 2020 04:00:00 ZDr. Frank WangDr. Frank WangFirst equilibrium condition
https://www.maplesoft.com/applications/view.aspx?SID=154624&ref=Feed
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.<img src="https://www.maplesoft.com/view.aspx?si=154624/first_eq.png" alt="First equilibrium condition" style="max-width: 25%;" align="left"/>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.https://www.maplesoft.com/applications/view.aspx?SID=154624&ref=FeedWed, 01 Apr 2020 04:00:00 ZLenin Araujo CastilloLenin Araujo CastilloHamilton equations with constraints for a system of N-rotators model
https://www.maplesoft.com/applications/view.aspx?SID=154586&ref=Feed
In this application the Hamilton equations for a system of classical linear rotators are numerically integrated, taking account of the holonomic constraints that must be satisfied as the system evolves in the phase space. For this purpose, a formal symplectic algorithm is proposed and tested.<img src="https://www.maplesoft.com/applications/images/app_image_blank_lg.jpg" alt="Hamilton equations with constraints for a system of N-rotators model" style="max-width: 25%;" align="left"/>In this application the Hamilton equations for a system of classical linear rotators are numerically integrated, taking account of the holonomic constraints that must be satisfied as the system evolves in the phase space. For this purpose, a formal symplectic algorithm is proposed and tested.https://www.maplesoft.com/applications/view.aspx?SID=154586&ref=FeedMon, 11 Nov 2019 05:00:00 ZLuis Sainz de los TerrerosLuis Sainz de los TerrerosPlane flying through a thundercloud, calculating the E field
https://www.maplesoft.com/applications/view.aspx?SID=154519&ref=Feed
This problem models a thundercloud by a +40C charge at 10km height, -40C charge at 5km height and a 10C charge at a 2km height. It then has an airplane flying at 8km through the cloud. The crux of the problem is to calculate the Electric field on the plane beginning at the left of the cloud through to the right of the coud.
I placed the y axis along the charges within the cloud. his means the airplane has a fixed y value and just changes in x. I also numbered the charges from bottom to the top.<img src="https://www.maplesoft.com/view.aspx?si=154519/b9715d1a184de2946329d1d396866539.gif" alt="Plane flying through a thundercloud, calculating the E field" style="max-width: 25%;" align="left"/>This problem models a thundercloud by a +40C charge at 10km height, -40C charge at 5km height and a 10C charge at a 2km height. It then has an airplane flying at 8km through the cloud. The crux of the problem is to calculate the Electric field on the plane beginning at the left of the cloud through to the right of the coud.
I placed the y axis along the charges within the cloud. his means the airplane has a fixed y value and just changes in x. I also numbered the charges from bottom to the top.https://www.maplesoft.com/applications/view.aspx?SID=154519&ref=FeedTue, 19 Feb 2019 05:00:00 ZProf. Peter SchochProf. Peter SchochBurgers' Vortex
https://www.maplesoft.com/applications/view.aspx?SID=154424&ref=Feed
The Burgers vortex is a well known solution of the Navier Stokes equations that combines vorticity and shear. It allows for the study of a realistic flow in analytical form, thereby offering intuition for more complex flows. However, the cylindrical coordinate system makes certain calculations cumbersome to carry out by hand. This worksheet allows the user to explore aspects of the flow without having to carry out the calculations.<img src="https://www.maplesoft.com/view.aspx?si=154424/burgersvortex.PNG" alt="Burgers' Vortex" style="max-width: 25%;" align="left"/>The Burgers vortex is a well known solution of the Navier Stokes equations that combines vorticity and shear. It allows for the study of a realistic flow in analytical form, thereby offering intuition for more complex flows. However, the cylindrical coordinate system makes certain calculations cumbersome to carry out by hand. This worksheet allows the user to explore aspects of the flow without having to carry out the calculations.https://www.maplesoft.com/applications/view.aspx?SID=154424&ref=FeedFri, 23 Mar 2018 04:00:00 ZEmilee CarsonEmilee CarsonWilks Calculator
https://www.maplesoft.com/applications/view.aspx?SID=154359&ref=Feed
A program designed to calculate your Wilks Coefficient, a number that is used to compare lifters between 2 weight classes, such as 59kg and 105kg, by using body weight and total weight lifted.<img src="https://www.maplesoft.com/applications/images/app_image_blank_lg.jpg" alt="Wilks Calculator" style="max-width: 25%;" align="left"/>A program designed to calculate your Wilks Coefficient, a number that is used to compare lifters between 2 weight classes, such as 59kg and 105kg, by using body weight and total weight lifted.https://www.maplesoft.com/applications/view.aspx?SID=154359&ref=FeedTue, 14 Nov 2017 05:00:00 ZDaniel ChesloDaniel ChesloTwo 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="https://www.maplesoft.com/view.aspx?si=154288/percolations1.jpg" alt="Two dimensional percolation" style="max-width: 25%;" 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.https://www.maplesoft.com/applications/view.aspx?SID=154288&ref=FeedSun, 16 Jul 2017 04:00:00 ZKyaw Aunghein and Lin Ko KoKyaw Aunghein and Lin Ko KoLattice: 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="https://www.maplesoft.com/view.aspx?si=153970/Lattice.png" alt="Lattice: A package to model accelerator lattices and beam lines" style="max-width: 25%;" 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.https://www.maplesoft.com/applications/view.aspx?SID=153970&ref=FeedFri, 30 Jun 2017 04:00:00 ZUli WienandsUli WienandsGround state of a quantum system of identical boson particles
https://www.maplesoft.com/applications/view.aspx?SID=154156&ref=Feed
Departing from the Energy of a quantum system of identical boson particles, the field equation, that is the Gross-Pitaevskii equation, is derived.
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This application is also the subject of a <A HREF="http://www.mapleprimes.com/posts/200109-Quantum-Mechanics-Using-Computer-Algebra">blog post on MaplePrimes</A>.<img src="https://www.maplesoft.com/view.aspx?si=154156/quantum.jpg" alt="Ground state of a quantum system of identical boson particles" style="max-width: 25%;" align="left"/>Departing from the Energy of a quantum system of identical boson particles, the field equation, that is the Gross-Pitaevskii equation, is derived.
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This application is also the subject of a <A HREF="http://www.mapleprimes.com/posts/200109-Quantum-Mechanics-Using-Computer-Algebra">blog post on MaplePrimes</A>.https://www.maplesoft.com/applications/view.aspx?SID=154156&ref=FeedFri, 30 Sep 2016 04:00:00 ZDr. Edgardo Cheb-TerrabDr. Edgardo Cheb-TerrabComputer Algebra in Theoretical Physics (IOP Webinar)
https://www.maplesoft.com/applications/view.aspx?SID=154157&ref=Feed
Recent advancements in computational physics are illustrated, showing how these techniques can be applied to problems from general relativity, classical mechanics, quantum mechanics, and classical field theory, including the presentation of the digitization of the solutions to Einstein’s field equations shown in the book “Exact Solutions to Einstein’s Field Equations”.<BR><BR>
This application is also the subject of a <A HREF="http://www.mapleprimes.com/posts/203574-Computer-Algebra-In-Theoretical-Physics">blog post on MaplePrimes</A>.<img src="https://www.maplesoft.com/view.aspx?si=154157/theoreticalphysics.jpg" alt="Computer Algebra in Theoretical Physics (IOP Webinar)" style="max-width: 25%;" align="left"/>Recent advancements in computational physics are illustrated, showing how these techniques can be applied to problems from general relativity, classical mechanics, quantum mechanics, and classical field theory, including the presentation of the digitization of the solutions to Einstein’s field equations shown in the book “Exact Solutions to Einstein’s Field Equations”.<BR><BR>
This application is also the subject of a <A HREF="http://www.mapleprimes.com/posts/203574-Computer-Algebra-In-Theoretical-Physics">blog post on MaplePrimes</A>.https://www.maplesoft.com/applications/view.aspx?SID=154157&ref=FeedFri, 30 Sep 2016 04:00:00 ZDr. Edgardo Cheb-TerrabDr. Edgardo Cheb-TerrabMini-Course: Computer Algebra for Physicists
https://www.maplesoft.com/applications/view.aspx?SID=154158&ref=Feed
This is a course, organized as a guided experience, 2 hours per day during five days, on learning the basics of the Maple language, and on using it to formulate algebraic computations we do in physics with paper and pencil. It is oriented to people not familiar with computer algebra (sections 1-5), as well as to people who are familiar but want to learn more about how to use it in Physics.<img src="https://www.maplesoft.com/view.aspx?si=154158/physicscourse.PNG" alt="Mini-Course: Computer Algebra for Physicists" style="max-width: 25%;" align="left"/>This is a course, organized as a guided experience, 2 hours per day during five days, on learning the basics of the Maple language, and on using it to formulate algebraic computations we do in physics with paper and pencil. It is oriented to people not familiar with computer algebra (sections 1-5), as well as to people who are familiar but want to learn more about how to use it in Physics.https://www.maplesoft.com/applications/view.aspx?SID=154158&ref=FeedFri, 30 Sep 2016 04:00:00 ZDr. Edgardo Cheb-TerrabDr. Edgardo Cheb-TerrabFactorizing with non-commutative variables
https://www.maplesoft.com/applications/view.aspx?SID=154166&ref=Feed
New capabilities for factorizing expressions involving noncommutative variables are presented and illustrated with a set of examples.<BR><BR>
This application is also the subject of a <A HREF="http://www.mapleprimes.com/posts/201368-New-Factorizing-With-Noncommutative-Variables">blog post on MaplePrimes</A>.<img src="https://www.maplesoft.com/applications/images/app_image_blank_lg.jpg" alt="Factorizing with non-commutative variables" style="max-width: 25%;" align="left"/>New capabilities for factorizing expressions involving noncommutative variables are presented and illustrated with a set of examples.<BR><BR>
This application is also the subject of a <A HREF="http://www.mapleprimes.com/posts/201368-New-Factorizing-With-Noncommutative-Variables">blog post on MaplePrimes</A>.https://www.maplesoft.com/applications/view.aspx?SID=154166&ref=FeedFri, 30 Sep 2016 04:00:00 ZDr. Edgardo Cheb-TerrabDr. Edgardo Cheb-TerrabThe Gross-Pitaevskii equation and Bogoliubov spectrum
https://www.maplesoft.com/applications/view.aspx?SID=154155&ref=Feed
The spectrum of its solutions of the equation for a quantum system of identical particles, that is the Gross-Pitaevskii equation (GPE) is derived.
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This application is also the subject of a <A HREF="http://www.mapleprimes.com/posts/200120-Quantum-Mechanics-II">blog post on MaplePrimes</A>.<img src="https://www.maplesoft.com/view.aspx?si=154155/theoreticalphysics.jpg" alt="The Gross-Pitaevskii equation and Bogoliubov spectrum" style="max-width: 25%;" align="left"/>The spectrum of its solutions of the equation for a quantum system of identical particles, that is the Gross-Pitaevskii equation (GPE) is derived.
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This application is also the subject of a <A HREF="http://www.mapleprimes.com/posts/200120-Quantum-Mechanics-II">blog post on MaplePrimes</A>.https://www.maplesoft.com/applications/view.aspx?SID=154155&ref=FeedFri, 30 Sep 2016 04:00:00 ZDr. Edgardo Cheb-TerrabDr. Edgardo Cheb-TerrabQuantization of the Lorentz Force
https://www.maplesoft.com/applications/view.aspx?SID=154168&ref=Feed
Departing from the Hamiltonian of a quantum, non-relativistic, particle with mass m and charge q, evolving under the action of an arbitrary time-independent matgnetic field, derive the expression of the quantized Lorentz force.
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This application is also the subject of a <A HREF="http://www.mapleprimes.com/posts/206511-Quantization-Of-The-Lorentz-Force">blog post on MaplePrimes</A>.<img src="https://www.maplesoft.com/view.aspx?si=154168/quantum.jpg" alt="Quantization of the Lorentz Force" style="max-width: 25%;" align="left"/>Departing from the Hamiltonian of a quantum, non-relativistic, particle with mass m and charge q, evolving under the action of an arbitrary time-independent matgnetic field, derive the expression of the quantized Lorentz force.
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This application is also the subject of a <A HREF="http://www.mapleprimes.com/posts/206511-Quantization-Of-The-Lorentz-Force">blog post on MaplePrimes</A>.https://www.maplesoft.com/applications/view.aspx?SID=154168&ref=FeedFri, 30 Sep 2016 04:00:00 ZDr. Edgardo Cheb-TerrabDr. Edgardo Cheb-TerrabThe Landau criterion for Superfluidity
https://www.maplesoft.com/applications/view.aspx?SID=154154&ref=Feed
The conditions for superfluidity of a system of identical particles at low temperature are derived.<BR><BR>This application is also the subject of a <A HREF="http://www.mapleprimes.com/posts/200240-Superfluidity-In-Quantum-Mechanics">blog post on MaplePrimes</A>.<img src="https://www.maplesoft.com/view.aspx?si=154154/quantummechanics.jpg" alt="The Landau criterion for Superfluidity" style="max-width: 25%;" align="left"/>The conditions for superfluidity of a system of identical particles at low temperature are derived.<BR><BR>This application is also the subject of a <A HREF="http://www.mapleprimes.com/posts/200240-Superfluidity-In-Quantum-Mechanics">blog post on MaplePrimes</A>.https://www.maplesoft.com/applications/view.aspx?SID=154154&ref=FeedThu, 29 Sep 2016 04:00:00 ZDr. Edgardo Cheb-TerrabDr. Edgardo Cheb-TerrabQuantum Mechanics: Schrödinger vs Heisenberg picture
https://www.maplesoft.com/applications/view.aspx?SID=154153&ref=Feed
Departing from the Shrodinger picture of Quantum Mechanics, the Heisenberg picture and related formulas are derived.
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This application is also the subject of a <A HREF="http://www.mapleprimes.com/posts/205867-Quantum-Mechanics-Schrdinger-Vs-Heisenberg">blog post on MaplePrimes</A>.<img src="https://www.maplesoft.com/view.aspx?si=154153/theoreticalphysicsThumb.jpg" alt="Quantum Mechanics: Schrödinger vs Heisenberg picture" style="max-width: 25%;" align="left"/>Departing from the Shrodinger picture of Quantum Mechanics, the Heisenberg picture and related formulas are derived.
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This application is also the subject of a <A HREF="http://www.mapleprimes.com/posts/205867-Quantum-Mechanics-Schrdinger-Vs-Heisenberg">blog post on MaplePrimes</A>.https://www.maplesoft.com/applications/view.aspx?SID=154153&ref=FeedThu, 29 Sep 2016 04:00:00 ZDr. Edgardo Cheb-TerrabDr. Edgardo Cheb-TerrabVectors in the plane.
https://www.maplesoft.com/applications/view.aspx?SID=154071&ref=Feed
If an object is subjected to several forces having different magnitudes and act in different directions, how can determine the magnitude and direction of the resultant total force on the object? Forces are vectors and should be added according to the definition of the vector sum. Engineering dealing with many quantities that have both magnitude and direction and can be expressed and analyzed as vectors.
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In Spanish.<img src="https://www.maplesoft.com/view.aspx?si=154071/vpThumb.jpg" alt="Vectors in the plane." style="max-width: 25%;" align="left"/>If an object is subjected to several forces having different magnitudes and act in different directions, how can determine the magnitude and direction of the resultant total force on the object? Forces are vectors and should be added according to the definition of the vector sum. Engineering dealing with many quantities that have both magnitude and direction and can be expressed and analyzed as vectors.
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In Spanish.https://www.maplesoft.com/applications/view.aspx?SID=154071&ref=FeedFri, 01 Apr 2016 04:00:00 ZProf. Lenin Araujo CastilloProf. Lenin Araujo Castillo