New Application Center Additions
http://www.maplesoft.com/applications
en-us2017 Maplesoft, A Division of Waterloo Maple Inc.Maplesoft Document SystemMon, 24 Apr 2017 01:21:28 GMTMon, 24 Apr 2017 01:21:28 GMTThe latest content added to the Application Centerhttp://www.mapleprimes.com/images/mapleapps.gifNew Application Center Additions
http://www.maplesoft.com/applications
Alternating Polynomials by Maple
http://www.maplesoft.com/applications/view.aspx?SID=154233&ref=Feed
This application contains few procedures to do computations on alternating and symmetric polynomials. They are based on the fundamental theorem of symmetric polynomials and on the fundamental theorem of alternating polynomials by using Groebner’s bases.
The procedures are working very well, when the coefficients are numerical.<img src="/applications/images/app_image_blank_lg.jpg" alt="Alternating Polynomials by Maple" align="left"/>This application contains few procedures to do computations on alternating and symmetric polynomials. They are based on the fundamental theorem of symmetric polynomials and on the fundamental theorem of alternating polynomials by using Groebner’s bases.
The procedures are working very well, when the coefficients are numerical.154233Fri, 07 Apr 2017 04:00:00 ZKahtan H. AlzubaidyKahtan H. AlzubaidyUniversal method of kinematic analysis of spatial and planar link mechanisms
http://www.maplesoft.com/applications/view.aspx?SID=154228&ref=Feed
The application of idea Draghilev method of solving systems of nonlinear equations for the kinematic analysis of link mechanisms with any number degrees of freedom.<img src="/view.aspx?si=154228/fig_2.jpg" alt="Universal method of kinematic analysis of spatial and planar link mechanisms" align="left"/>The application of idea Draghilev method of solving systems of nonlinear equations for the kinematic analysis of link mechanisms with any number degrees of freedom.154228Wed, 08 Mar 2017 05:00:00 ZAlexey IvanovAlexey IvanovClassroom Tips and Techniques: Integration by Parts
http://www.maplesoft.com/applications/view.aspx?SID=1742&ref=Feed
Maple implements integration by parts with two different commands. One was designed in a pedagogical setting, and the other, for a "production" setting. In this article, we compare the functionalities of these two commands.<img src="/view.aspx?si=1742/tutor.png" alt="Classroom Tips and Techniques: Integration by Parts" align="left"/>Maple implements integration by parts with two different commands. One was designed in a pedagogical setting, and the other, for a "production" setting. In this article, we compare the functionalities of these two commands.1742Thu, 02 Mar 2017 05:00:00 ZDr. Robert LopezDr. Robert LopezLong Division
http://www.maplesoft.com/applications/view.aspx?SID=154229&ref=Feed
This procedure produces a LaTeX code which illustrates the process of dividing `a` by `b` using long division.<img src="/view.aspx?si=154229/longdev.png" alt="Long Division" align="left"/>This procedure produces a LaTeX code which illustrates the process of dividing `a` by `b` using long division.154229Tue, 21 Feb 2017 05:00:00 ZDmitry DemskoyDmitry DemskoyRolling without slipping on Mobius strip
http://www.maplesoft.com/applications/view.aspx?SID=154226&ref=Feed
Consider the classical equation of a Mobius strip in parametric form. By using animation shows how movement can occur on the non-oriented surface. We will choose the route as the closed curve belonging to the surface. The sphere was selected as moving geometric object that visually continuously rolls over the surface of a Mobius strip.<img src="/view.aspx?si=154226/mobius_strip_rolling.PNG" alt="Rolling without slipping on Mobius strip" align="left"/>Consider the classical equation of a Mobius strip in parametric form. By using animation shows how movement can occur on the non-oriented surface. We will choose the route as the closed curve belonging to the surface. The sphere was selected as moving geometric object that visually continuously rolls over the surface of a Mobius strip.154226Thu, 16 Feb 2017 05:00:00 ZAlexey IvanovAlexey IvanovClassroom Tips and Techniques: Norm of a Matrix
http://www.maplesoft.com/applications/view.aspx?SID=1430&ref=Feed
The greatest benefits from bringing Maple into the classroom are realized when the static pedagogy of a printed textbook is enlivened by the interplay of symbolic, graphic, and numeric calculations made possible by technology. Getting Maple to compute the correct answer is just the first step. Using Maple to bring insights not easily realized with by-hand calculations should be the goal of everyone who sets a hand to improving the learning experiences of students. In this article we will show how Maple can be used to gain insight on what the norm of a matrix means.<img src="/view.aspx?si=1430/thumb.jpg" alt="Classroom Tips and Techniques: Norm of a Matrix" align="left"/>The greatest benefits from bringing Maple into the classroom are realized when the static pedagogy of a printed textbook is enlivened by the interplay of symbolic, graphic, and numeric calculations made possible by technology. Getting Maple to compute the correct answer is just the first step. Using Maple to bring insights not easily realized with by-hand calculations should be the goal of everyone who sets a hand to improving the learning experiences of students. In this article we will show how Maple can be used to gain insight on what the norm of a matrix means.1430Mon, 13 Feb 2017 05:00:00 ZDr. Robert LopezDr. Robert LopezGirding the Equator of Earth with a Belt
http://www.maplesoft.com/applications/view.aspx?SID=154220&ref=Feed
This is a problem that appears in many calculus texts. The problem is that of girding the equator of the earth with a belt, then extending by one unit (here, taken as the foot) the radius of the circle so formed. The question is by how much does the circumference of the belt increase. This problem usually appears in the section of the calculus text dealing with linear approximations by the differential.
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This app is also the subject of a blog post on MaplePrimes: <A HREF="http://www.mapleprimes.com/maplesoftblog/207876-Girding-The-Equator-Of-The-Earth-With-A-Belt">Girding the Equator of Earth with a Belt</A><img src="/view.aspx?si=154220/b54e83a2917e82eae1adfaebd0567f9c.gif" alt="Girding the Equator of Earth with a Belt" align="left"/>This is a problem that appears in many calculus texts. The problem is that of girding the equator of the earth with a belt, then extending by one unit (here, taken as the foot) the radius of the circle so formed. The question is by how much does the circumference of the belt increase. This problem usually appears in the section of the calculus text dealing with linear approximations by the differential.
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This app is also the subject of a blog post on MaplePrimes: <A HREF="http://www.mapleprimes.com/maplesoftblog/207876-Girding-The-Equator-Of-The-Earth-With-A-Belt">Girding the Equator of Earth with a Belt</A>154220Tue, 07 Feb 2017 05:00:00 ZDr. Robert LopezDr. Robert LopezCombining Multiple Animations in Maple
http://www.maplesoft.com/applications/view.aspx?SID=154222&ref=Feed
In this document, we show to build up complex animations by showing different ways to combine existing animations. We illustrate this using three animations, however, the techniques are general and can be applied to any number of animations.
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This application is also the subject of a post on MaplePrimes: <A HREF="http://www.mapleprimes.com/posts/207840-Combinations-Of-Multiple-Animations">Combinations of multiple animations</A><img src="/view.aspx?si=154222/multipleAnimations.jpg" alt="Combining Multiple Animations in Maple" align="left"/>In this document, we show to build up complex animations by showing different ways to combine existing animations. We illustrate this using three animations, however, the techniques are general and can be applied to any number of animations.
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This application is also the subject of a post on MaplePrimes: <A HREF="http://www.mapleprimes.com/posts/207840-Combinations-Of-Multiple-Animations">Combinations of multiple animations</A>154222Tue, 07 Feb 2017 05:00:00 ZYury ZavarovskyYury ZavarovskyFinite Excluded and Included Point Topologies with Maple
http://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>154223Tue, 07 Feb 2017 05:00:00 ZTaha Guma el turkiTaha Guma el turkiPolya Theory by Maple
http://www.maplesoft.com/applications/view.aspx?SID=154192&ref=Feed
A few procedures of Maple are written to do computations related to Burnside's theorems and also to Polya's theorems.
The computations are done by using permutation groups.<img src="/applications/images/app_image_blank_lg.jpg" alt="Polya Theory by Maple" align="left"/>A few procedures of Maple are written to do computations related to Burnside's theorems and also to Polya's theorems.
The computations are done by using permutation groups.154192Tue, 29 Nov 2016 05:00:00 ZKahtan H. AlzubaidyKahtan H. AlzubaidyOptimización: Una introducción intuitiva y gráfica
http://www.maplesoft.com/applications/view.aspx?SID=154188&ref=Feed
Se presenta al estudiante una introducción al tema de optimización utilizando un enfoque gráfico, sin la utilización del concepto de derivada.
El primer ejemplo que se proporciona al estudiante en este material recurre a su intuición para comprender las características básicas del problema de optimización. Posteriormente se analizan dos ejemplos más, típicos sobre el mismo tema.<img src="/view.aspx?si=154188/box.PNG" alt="Optimización: Una introducción intuitiva y gráfica" align="left"/>Se presenta al estudiante una introducción al tema de optimización utilizando un enfoque gráfico, sin la utilización del concepto de derivada.
El primer ejemplo que se proporciona al estudiante en este material recurre a su intuición para comprender las características básicas del problema de optimización. Posteriormente se analizan dos ejemplos más, típicos sobre el mismo tema.154188Wed, 09 Nov 2016 05:00:00 ZRanferi GutierrezRanferi GutierrezSolution Analytique Exacte dans un Circuit Eléctronique contenant une Résistance et une Diode
http://www.maplesoft.com/applications/view.aspx?SID=154185&ref=Feed
(Exact Analytical Solution in an electronic circuit containing a resistor and a diode)
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Dans cette feuille d'application, nous utilisons le logiciel de calcul formel Maple dans la résolution analytique exacte des courants électriques traversant les différentes branches d'un circuit élèctronique. Puis, nous déterminons les expressions analytiques exactes des différences de potentiel aux bornes de tous les éléments du montage. puis nous calculons la résistance dynamique du diode du circuit. Les solutions analytiques proposées sont toutes exprimées en fonction de la fonction de Lambert W. Enfin, nous étudions l'influence de la résistance sur l'expression du courant électrique traversant le circuit élèctronique et sur les expressions des différences de potentiel aux bornes de tous les éléments du montage en faisant animer les solutions en variant la résistance sur un interval.
De la mème manière on étudie l'influence du : courant de saturation, le facteur d'idéalité et la température.
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In this application worksheet, we determine the exact analytical solutions for the current flows through the different branches of the electronic circuit . Then, we derive analytical expressions for the voltages at the terminals of all elements in the circuit. Finally, we calculate the dynamical resistances the diode in the circuit. The proposed analytical solutions are all expressed as functions of the Lambert W function. Finally, we study the influence of resistance on the expression of the electric current through the electronic circuit and the expressions of the potential differences across all elements of the assembly by facilitating solutions to vary the resistance on an interval.
Similarly, we study the influence of: saturation current, the ideality factor and temperature.<img src="/view.aspx?si=154185/diode.png" alt="Solution Analytique Exacte dans un Circuit Eléctronique contenant une Résistance et une Diode" align="left"/>(Exact Analytical Solution in an electronic circuit containing a resistor and a diode)
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Dans cette feuille d'application, nous utilisons le logiciel de calcul formel Maple dans la résolution analytique exacte des courants électriques traversant les différentes branches d'un circuit élèctronique. Puis, nous déterminons les expressions analytiques exactes des différences de potentiel aux bornes de tous les éléments du montage. puis nous calculons la résistance dynamique du diode du circuit. Les solutions analytiques proposées sont toutes exprimées en fonction de la fonction de Lambert W. Enfin, nous étudions l'influence de la résistance sur l'expression du courant électrique traversant le circuit élèctronique et sur les expressions des différences de potentiel aux bornes de tous les éléments du montage en faisant animer les solutions en variant la résistance sur un interval.
De la mème manière on étudie l'influence du : courant de saturation, le facteur d'idéalité et la température.
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<BR><BR>
In this application worksheet, we determine the exact analytical solutions for the current flows through the different branches of the electronic circuit . Then, we derive analytical expressions for the voltages at the terminals of all elements in the circuit. Finally, we calculate the dynamical resistances the diode in the circuit. The proposed analytical solutions are all expressed as functions of the Lambert W function. Finally, we study the influence of resistance on the expression of the electric current through the electronic circuit and the expressions of the potential differences across all elements of the assembly by facilitating solutions to vary the resistance on an interval.
Similarly, we study the influence of: saturation current, the ideality factor and temperature.154185Wed, 26 Oct 2016 04:00:00 ZEL AYDI MHAMEDEL AYDI MHAMEDInteractive Country Data Explorer
http://www.maplesoft.com/applications/view.aspx?SID=154181&ref=Feed
This application allows you to choose a set of countries, and then select three of the more than 50 types of statistical data available for those counties, such as life expectancy, literacy rates, health expenditures, and more. You then can visualize how these factors change over time using a BubblePlot. For example, you can select several countries and then visualize how their overall number of internet users has changed along with their gross domestic product, using the x-y axis, while the bubble size shows relative population sizes.<BR><BR>Related MaplePrimes blog post: <A HREF="http://www.mapleprimes.com/maplesoftblog/203857-An-Interactive-Application-For-Exploring">An Interactive Application for Exploring Country Data</A><img src="/view.aspx?si=154181/countrybubble3.PNG" alt="Interactive Country Data Explorer" align="left"/>This application allows you to choose a set of countries, and then select three of the more than 50 types of statistical data available for those counties, such as life expectancy, literacy rates, health expenditures, and more. You then can visualize how these factors change over time using a BubblePlot. For example, you can select several countries and then visualize how their overall number of internet users has changed along with their gross domestic product, using the x-y axis, while the bubble size shows relative population sizes.<BR><BR>Related MaplePrimes blog post: <A HREF="http://www.mapleprimes.com/maplesoftblog/203857-An-Interactive-Application-For-Exploring">An Interactive Application for Exploring Country Data</A>154181Wed, 19 Oct 2016 04:00:00 ZDaniel SkoogDaniel SkoogVisualizing Multiple Datasets with BubblePlot
http://www.maplesoft.com/applications/view.aspx?SID=154178&ref=Feed
The BubblePlot command can convey information about three dimensions of a multi-dimensional dataset using the horizontal axis, the vertical axis, and point (bubble) size. Moreover, if a dataset is a time series, BubblePlot can generate an animation that shows the movement of data points over a common period of time.
In the following example, datasets containing information on Gross Domestic Product at Power Purchasing Parity, Life Expectancy, and Population are retrieved for selected countries and visualized.<img src="/view.aspx?si=154178/BubblePlot.png" alt="Visualizing Multiple Datasets with BubblePlot" align="left"/>The BubblePlot command can convey information about three dimensions of a multi-dimensional dataset using the horizontal axis, the vertical axis, and point (bubble) size. Moreover, if a dataset is a time series, BubblePlot can generate an animation that shows the movement of data points over a common period of time.
In the following example, datasets containing information on Gross Domestic Product at Power Purchasing Parity, Life Expectancy, and Population are retrieved for selected countries and visualized.154178Mon, 17 Oct 2016 04:00:00 ZDaniel SkoogDaniel SkoogDigitizing mathematics: ODEs, Special Functions and Solutions to Einstein's Equations
http://www.maplesoft.com/applications/view.aspx?SID=154174&ref=Feed
The material below was presented in the <A HREF="https://www.fields.utoronto.ca/programs/scientific/15-16/semantic/">Semantic Representation of Mathematical Knowledge Workshop</A>, February 3-5, 2016 at the Fields Institute, University of Toronto. It shows the approach used for “digitizing mathematical knowledge" regarding Differential Equations, Special Functions and Solutions to Einstein's equations. While for these areas using databases of information helps (for example textbooks frequently contain these sort of databases), these are areas that, at the same time, are very suitable for using algorithmic mathematical approaches, that result in much richer mathematics than what can be hard-coded into a database. The material also focuses on an interesting cherry-picked collection of Maple functionality, that I think is beautiful, not well know, and seldom focused inter-related as here.<BR><BR>
This application is also featured in a <A HREF="http://www.mapleprimes.com/posts/206715-Digitizing-Mathematics-ODEs-Special">MaplePrimes blog post</A>.<img src="/applications/images/app_image_blank_lg.jpg" alt="Digitizing mathematics: ODEs, Special Functions and Solutions to Einstein's Equations" align="left"/>The material below was presented in the <A HREF="https://www.fields.utoronto.ca/programs/scientific/15-16/semantic/">Semantic Representation of Mathematical Knowledge Workshop</A>, February 3-5, 2016 at the Fields Institute, University of Toronto. It shows the approach used for “digitizing mathematical knowledge" regarding Differential Equations, Special Functions and Solutions to Einstein's equations. While for these areas using databases of information helps (for example textbooks frequently contain these sort of databases), these are areas that, at the same time, are very suitable for using algorithmic mathematical approaches, that result in much richer mathematics than what can be hard-coded into a database. The material also focuses on an interesting cherry-picked collection of Maple functionality, that I think is beautiful, not well know, and seldom focused inter-related as here.<BR><BR>
This application is also featured in a <A HREF="http://www.mapleprimes.com/posts/206715-Digitizing-Mathematics-ODEs-Special">MaplePrimes blog post</A>.154174Fri, 07 Oct 2016 04:00:00 ZDr. Edgardo Cheb-TerrabDr. Edgardo Cheb-TerrabCalculating the Bulk Modulus of a Fluid
http://www.maplesoft.com/applications/view.aspx?SID=154172&ref=Feed
This application contains a procedure that accepts a temperature, pressure and fluid, and calculates the isothermal bulk modulus using the ThermophysicalData package and numeric derivatives. The procedure is used to demonstrate that the bulk modulus of water is at a maximum at a temperature of 320 K.<img src="/applications/images/app_image_blank_lg.jpg" alt="Calculating the Bulk Modulus of a Fluid" align="left"/>This application contains a procedure that accepts a temperature, pressure and fluid, and calculates the isothermal bulk modulus using the ThermophysicalData package and numeric derivatives. The procedure is used to demonstrate that the bulk modulus of water is at a maximum at a temperature of 320 K.154172Thu, 06 Oct 2016 04:00:00 ZSamir KhanSamir KhanThermodynamic Properties of Ordinary Water Substance for General and Scientific Use
http://www.maplesoft.com/applications/view.aspx?SID=154173&ref=Feed
This Maple Application was developed by Russian National Committee (RNC) of International Association for the Water and Steam(IAPWS). This calculation is based on the "Revised Release on the IAPWS Formulation 1995 for the Thermodynamic Properties of Ordinary Water Substance for General and Scientific Use". Detailed information about used equations, constants, range of validity etc is presented in PDF version of IAPWS Release which can be downloaded from IAPWS web site.<img src="/applications/images/app_image_blank_lg.jpg" alt="Thermodynamic Properties of Ordinary Water Substance for General and Scientific Use" align="left"/>This Maple Application was developed by Russian National Committee (RNC) of International Association for the Water and Steam(IAPWS). This calculation is based on the "Revised Release on the IAPWS Formulation 1995 for the Thermodynamic Properties of Ordinary Water Substance for General and Scientific Use". Detailed information about used equations, constants, range of validity etc is presented in PDF version of IAPWS Release which can be downloaded from IAPWS web site.154173Thu, 06 Oct 2016 04:00:00 ZKonstantin Orlov<BR>Aung Thu Ya TunKonstantin Orlov<BR>Aung Thu Ya TunThe Gross-Pitaevskii equation and Bogoliubov spectrum
http://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="/view.aspx?si=154155/theoreticalphysics.jpg" alt="The Gross-Pitaevskii equation and Bogoliubov spectrum" 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>.154155Fri, 30 Sep 2016 04:00:00 ZDr. Edgardo Cheb-TerrabDr. Edgardo Cheb-TerrabGround state of a quantum system of identical boson particles
http://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="/view.aspx?si=154156/quantum.jpg" alt="Ground state of a quantum system of identical boson particles" 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>.154156Fri, 30 Sep 2016 04:00:00 ZDr. Edgardo Cheb-TerrabDr. Edgardo Cheb-TerrabComputer Algebra in Theoretical Physics (IOP Webinar)
http://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="/view.aspx?si=154157/theoreticalphysics.jpg" alt="Computer Algebra in Theoretical Physics (IOP Webinar)" 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>.154157Fri, 30 Sep 2016 04:00:00 ZDr. Edgardo Cheb-TerrabDr. Edgardo Cheb-Terrab