New Editor's Choice Applications
https://www.maplesoft.com/applications/EditorsChoice
en-us2018 Maplesoft, A Division of Waterloo Maple Inc.Maplesoft Document SystemThu, 18 Jan 2018 09:21:48 GMTThu, 18 Jan 2018 09:21:48 GMTThe latest Editor's Choice applications added to the Application Centerhttps://www.maplesoft.com/images/Application_center_hp.jpgNew Editor's Choice Applications
https://www.maplesoft.com/applications/EditorsChoice
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="https://www.maplesoft.com/view.aspx?si=154298/leaf.PNG" alt="Prime Number ASCII Art" style="max-width: 25%;" 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>https://www.maplesoft.com/applications/view.aspx?SID=154298&ref=FeedWed, 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="https://www.maplesoft.com/view.aspx?si=154296/fieldplot.PNG" alt="Polarization of Dielectric Sphere ....." style="max-width: 25%;" 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.https://www.maplesoft.com/applications/view.aspx?SID=154296&ref=FeedMon, 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 KHAMKHAMIVector 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="https://www.maplesoft.com/view.aspx?si=154294/vectors.PNG" alt="Vector space with projections and forces" style="max-width: 25%;" 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.https://www.maplesoft.com/applications/view.aspx?SID=154294&ref=FeedMon, 11 Sep 2017 04:00:00 ZProf. Lenin Araujo CastilloProf. Lenin Araujo CastilloLattice: 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 WienandsOptimización: Una introducción intuitiva y gráfica
https://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="https://www.maplesoft.com/view.aspx?si=154188/box.PNG" alt="Optimización: Una introducción intuitiva y gráfica" style="max-width: 25%;" 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.https://www.maplesoft.com/applications/view.aspx?SID=154188&ref=FeedWed, 09 Nov 2016 05:00:00 ZRanferi GutierrezRanferi GutierrezInteractive Country Data Explorer
https://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="https://www.maplesoft.com/view.aspx?si=154181/countrybubble3.PNG" alt="Interactive Country Data Explorer" style="max-width: 25%;" 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>https://www.maplesoft.com/applications/view.aspx?SID=154181&ref=FeedWed, 19 Oct 2016 04:00:00 ZDaniel SkoogDaniel SkoogThermal Engineering with Maple – Application Collection
https://www.maplesoft.com/applications/view.aspx?SID=154123&ref=Feed
This e-book contains many Maple applications covering topics in psychrometric modeling, thermodynamics, refrigeration, heat transfer and more. With practical examples, it demonstrates how you can use Maple to solve various problems in thermal engineering.
<BR><BR>
Maple’s fluid properties engine is used throughout; if you change the working fluid or operating conditions, Maple updates the application with accurate thermophysical data.
<BR><BR>
You can explore the e-book using the Navigator or the table of contents.
<BR><BR>
These applications are packaged together in the Workbook file format. You will need Maple 2016 (or later) to use this workbook. If you do not have Maple 2016, download the <A HREF="http://www.maplesoft.com/products/maple/Mapleplayer/">free Maple Player</A> to view the applications and interact with a select few.<img src="https://www.maplesoft.com/view.aspx?si=154123/thermalThumb1.jpg" alt="Thermal Engineering with Maple – Application Collection" style="max-width: 25%;" align="left"/>This e-book contains many Maple applications covering topics in psychrometric modeling, thermodynamics, refrigeration, heat transfer and more. With practical examples, it demonstrates how you can use Maple to solve various problems in thermal engineering.
<BR><BR>
Maple’s fluid properties engine is used throughout; if you change the working fluid or operating conditions, Maple updates the application with accurate thermophysical data.
<BR><BR>
You can explore the e-book using the Navigator or the table of contents.
<BR><BR>
These applications are packaged together in the Workbook file format. You will need Maple 2016 (or later) to use this workbook. If you do not have Maple 2016, download the <A HREF="http://www.maplesoft.com/products/maple/Mapleplayer/">free Maple Player</A> to view the applications and interact with a select few.https://www.maplesoft.com/applications/view.aspx?SID=154123&ref=FeedWed, 22 Jun 2016 04:00:00 ZSamir KhanSamir KhanMatrix Representation of Quantum Entangled States: Understanding Bell's Inequality and Teleportation
https://www.maplesoft.com/applications/view.aspx?SID=154100&ref=Feed
In 1935, Einstein, Podolsky and Rosen published a paper revealing a counter-intuitive situation in quantum mechanics which was later known as the EPR paradox. The phenomenon involved an entangled state., which Schrodinger called "not one but the characteristic trait of quantum mechanics." In textbooks, entanglement is often presented in abstract notations. In popular accounts of quantum mechanics, entanglement is sometimes portrayed as a mystery or even distorted in a nearly pseudoscientific fashion. In this worksheet, we use Maple's LinearAlgebra package to represent quantum states and measurements in matrix form. The famous Bell's inequality and teleportation can be understood using elementary matrix operations.<img src="https://www.maplesoft.com/view.aspx?si=154100/8df7b465a1583cedab7e3e6452644591.gif" alt="Matrix Representation of Quantum Entangled States: Understanding Bell's Inequality and Teleportation" style="max-width: 25%;" align="left"/>In 1935, Einstein, Podolsky and Rosen published a paper revealing a counter-intuitive situation in quantum mechanics which was later known as the EPR paradox. The phenomenon involved an entangled state., which Schrodinger called "not one but the characteristic trait of quantum mechanics." In textbooks, entanglement is often presented in abstract notations. In popular accounts of quantum mechanics, entanglement is sometimes portrayed as a mystery or even distorted in a nearly pseudoscientific fashion. In this worksheet, we use Maple's LinearAlgebra package to represent quantum states and measurements in matrix form. The famous Bell's inequality and teleportation can be understood using elementary matrix operations.https://www.maplesoft.com/applications/view.aspx?SID=154100&ref=FeedMon, 09 May 2016 04:00:00 ZDr. Frank WangDr. Frank WangFractal Leaf Generator
https://www.maplesoft.com/applications/view.aspx?SID=154086&ref=Feed
This application generates Barnsley Fern fractals, using the number of iterations specified by the user.<img src="https://www.maplesoft.com/view.aspx?si=154086/fractalleafThumb.jpg" alt="Fractal Leaf Generator" style="max-width: 25%;" align="left"/>This application generates Barnsley Fern fractals, using the number of iterations specified by the user.https://www.maplesoft.com/applications/view.aspx?SID=154086&ref=FeedWed, 20 Apr 2016 04:00:00 ZMaplesoftMaplesoftOrdinary differential equation with Laplace Transform
https://www.maplesoft.com/applications/view.aspx?SID=154063&ref=Feed
Here the development of an ordinary differential equation using Laplace transforms, using interactive components. This worksheet is shown for teaching purposes. You can download the file to be used in a class for engineering students. <br/><br/> In Spanish.<img src="https://www.maplesoft.com/view.aspx?si=154063/tl.png" alt="Ordinary differential equation with Laplace Transform" style="max-width: 25%;" align="left"/>Here the development of an ordinary differential equation using Laplace transforms, using interactive components. This worksheet is shown for teaching purposes. You can download the file to be used in a class for engineering students. <br/><br/> In Spanish.https://www.maplesoft.com/applications/view.aspx?SID=154063&ref=FeedSat, 19 Mar 2016 04:00:00 ZProf. Lenin Araujo CastilloProf. Lenin Araujo CastilloWorking with Thermophysical Data: Dew-Point and Wet-Bulb Temperature of Air
https://www.maplesoft.com/applications/view.aspx?SID=154054&ref=Feed
Maple can perform calculations and generate visualizations involving thermophysical properties of pure fluids, humid air, and mixtures. Using the dew-point and web-bulb temperature of air as an example, this Tips and Techniques application demonstrates how to access thermophysical properties data, perform calculations that include units, and visualize the results on a psychrometric chart.
<BR><BR>
Atmospheric air contains varying levels of water vapor. Weather reports often quantify the water content of air with its relative humidity; this is the amount of water in air, divided by the maximum amount of water air can hold at the same temperature.
<BR><BR>
Given the temperature and the relative humidity of air, you can calculate:
<UL>
<LI>the temperature below which water condenses out of air - this is known as the dew-point
<LI>the coldest temperature you can achieve through evaporative cooling - this is known as the wet-bulb temperature
</UL><img src="https://www.maplesoft.com/view.aspx?si=154054/webbulb.PNG" alt="Working with Thermophysical Data: Dew-Point and Wet-Bulb Temperature of Air" style="max-width: 25%;" align="left"/>Maple can perform calculations and generate visualizations involving thermophysical properties of pure fluids, humid air, and mixtures. Using the dew-point and web-bulb temperature of air as an example, this Tips and Techniques application demonstrates how to access thermophysical properties data, perform calculations that include units, and visualize the results on a psychrometric chart.
<BR><BR>
Atmospheric air contains varying levels of water vapor. Weather reports often quantify the water content of air with its relative humidity; this is the amount of water in air, divided by the maximum amount of water air can hold at the same temperature.
<BR><BR>
Given the temperature and the relative humidity of air, you can calculate:
<UL>
<LI>the temperature below which water condenses out of air - this is known as the dew-point
<LI>the coldest temperature you can achieve through evaporative cooling - this is known as the wet-bulb temperature
</UL>https://www.maplesoft.com/applications/view.aspx?SID=154054&ref=FeedWed, 09 Mar 2016 05:00:00 ZSamir KhanSamir KhanStatically Indeterminate Structure
https://www.maplesoft.com/applications/view.aspx?SID=153940&ref=Feed
The application allows you to determine the constraint reactions, build diagrams of the normal forces N, shear forces Q and bending moments M for beams and frames with any number of sections and degree of static indefinability.
The application calculates the deformation (displacements) of the structure in millimeters and displays the displacements of nodes in the horizontal and vertical. It is also possible to calculate the displacement of any point of the structure.<img src="https://www.maplesoft.com/view.aspx?si=153940/391e24e981ea8d11454375def604a185.gif" alt="Statically Indeterminate Structure" style="max-width: 25%;" align="left"/>The application allows you to determine the constraint reactions, build diagrams of the normal forces N, shear forces Q and bending moments M for beams and frames with any number of sections and degree of static indefinability.
The application calculates the deformation (displacements) of the structure in millimeters and displays the displacements of nodes in the horizontal and vertical. It is also possible to calculate the displacement of any point of the structure.https://www.maplesoft.com/applications/view.aspx?SID=153940&ref=FeedWed, 09 Mar 2016 05:00:00 ZDr. Aleksey ShirkoDr. Aleksey ShirkoSunspot Periodicity
https://www.maplesoft.com/applications/view.aspx?SID=154013&ref=Feed
This application will find the periodicity of sunspots with two separate approaches:
<UL>
<LI>frequency domain transformation of the data
<LI>autocorrelation
</UL>
Both approaches should yield the same result.
<BR><BR>
Yearly sunspot data since 1700 is downloaded from a web-based source provided by the Royal Observatory of Belgium<img src="https://www.maplesoft.com/view.aspx?si=154013/sunspotPeriodicityThumb.png" alt="Sunspot Periodicity" style="max-width: 25%;" align="left"/>This application will find the periodicity of sunspots with two separate approaches:
<UL>
<LI>frequency domain transformation of the data
<LI>autocorrelation
</UL>
Both approaches should yield the same result.
<BR><BR>
Yearly sunspot data since 1700 is downloaded from a web-based source provided by the Royal Observatory of Belgiumhttps://www.maplesoft.com/applications/view.aspx?SID=154013&ref=FeedWed, 02 Mar 2016 05:00:00 ZSamir KhanSamir KhanNonlinear Model Predictive Control
https://www.maplesoft.com/applications/view.aspx?SID=153555&ref=Feed
<p>Nonlinear model predictive control (NMPC) has attracted attention in recent years. The continuation method combined with the generalized minimal residual method (C/GMRES) is well known to be a fast algorithm and is generally suitable for real-time implementation. This package provides a symbolic computation tool that automatically generates code for use in nonlinear predictive control design environment based on C/GMRES. Interaction with the package is done through an easy-to-use document interface.</p>
<p>Note: Requires Maple 17 or later and a C compiler.</p>
<p>Version 1.0.3</p><img src="https://www.maplesoft.com/view.aspx?si=153555/Capture.PNG" alt="Nonlinear Model Predictive Control" style="max-width: 25%;" align="left"/><p>Nonlinear model predictive control (NMPC) has attracted attention in recent years. The continuation method combined with the generalized minimal residual method (C/GMRES) is well known to be a fast algorithm and is generally suitable for real-time implementation. This package provides a symbolic computation tool that automatically generates code for use in nonlinear predictive control design environment based on C/GMRES. Interaction with the package is done through an easy-to-use document interface.</p>
<p>Note: Requires Maple 17 or later and a C compiler.</p>
<p>Version 1.0.3</p>https://www.maplesoft.com/applications/view.aspx?SID=153555&ref=FeedFri, 12 Feb 2016 05:00:00 ZCybernet Systems Co.Cybernet Systems Co.The Schwarz-Christoffel panel method: a computational kit
https://www.maplesoft.com/applications/view.aspx?SID=153963&ref=Feed
The so-called Schwarz-Christoffel Panel Method devised and developed by Prof. E. Morishita for the analysis of aerodynamics of airfoils with arbitrary geometry is built as a hidden code in this document. Given the airfoil geometry, the Schwarz-Christoffel transform that maps the unit circle onto the polygon that represents the airfoil, is obtained. Some Maple resources are included to handle and visualize the computed results.<img src="https://www.maplesoft.com/view.aspx?si=153963/temporaryAirfoils.png" alt="The Schwarz-Christoffel panel method: a computational kit" style="max-width: 25%;" align="left"/>The so-called Schwarz-Christoffel Panel Method devised and developed by Prof. E. Morishita for the analysis of aerodynamics of airfoils with arbitrary geometry is built as a hidden code in this document. Given the airfoil geometry, the Schwarz-Christoffel transform that maps the unit circle onto the polygon that represents the airfoil, is obtained. Some Maple resources are included to handle and visualize the computed results.https://www.maplesoft.com/applications/view.aspx?SID=153963&ref=FeedWed, 03 Feb 2016 05:00:00 ZLuis Sainz de los TerrerosLuis Sainz de los TerrerosCampo de direcciones: Un caso de estudio.
https://www.maplesoft.com/applications/view.aspx?SID=153954&ref=Feed
En esta hoja se aplica el campo de direcciones al estudio cualitativo de las soluciones de una ecuación diferencial que describe, utilizando un modelo sencillo, el fenómeno de la pesca.
En el modelo se asume que puede exitir sobrepoblación y/o captura, lo que da oportunidad al estudiante de lograr una mayor comprensión del fenómeno, así como de aprender cómo extraer información cualitativa de los campos de direcciones.<img src="https://www.maplesoft.com/view.aspx?si=153954/Captura.PNG" alt="Campo de direcciones: Un caso de estudio." style="max-width: 25%;" align="left"/>En esta hoja se aplica el campo de direcciones al estudio cualitativo de las soluciones de una ecuación diferencial que describe, utilizando un modelo sencillo, el fenómeno de la pesca.
En el modelo se asume que puede exitir sobrepoblación y/o captura, lo que da oportunidad al estudiante de lograr una mayor comprensión del fenómeno, así como de aprender cómo extraer información cualitativa de los campos de direcciones.https://www.maplesoft.com/applications/view.aspx?SID=153954&ref=FeedSat, 23 Jan 2016 05:00:00 ZDr. Ranferi GutierrezDr. Ranferi GutierrezHoliday Greetings and Tupper’s Self-Referential Formula
https://www.maplesoft.com/applications/view.aspx?SID=153935&ref=Feed
Want to send a Holiday greeting to a fellow Maple user? Then send them this worksheet - it's a seasonal spin on the classic Tupper’s Self-Referential Formula.<img src="https://www.maplesoft.com/view.aspx?si=153935/teaserimage.png" alt="Holiday Greetings and Tupper’s Self-Referential Formula" style="max-width: 25%;" align="left"/>Want to send a Holiday greeting to a fellow Maple user? Then send them this worksheet - it's a seasonal spin on the classic Tupper’s Self-Referential Formula.https://www.maplesoft.com/applications/view.aspx?SID=153935&ref=FeedFri, 11 Dec 2015 05:00:00 ZSamir KhanSamir KhanThe SHA-3 Family of Cryptographic Hash Functions and Extendable-Output Functions
https://www.maplesoft.com/applications/view.aspx?SID=153903&ref=Feed
The National Institute of Standards and Technology (NIST) has released the final version of its "Secure Hash Algorithm-3" (SHA-3) standard in August 2015. The new standard ("Federal Information Processing Standard (FIPS) 202") specifies four cryptographic hash functions, called SHA3-224, SHA3-256, SHA3-384 and SHA3-512, as well as two Extendable-Output Functions (XOFs), called SHAKE128 and SHAKE256. These functions are based on the Keccak sponge function, designed by G. Bertoni, J. Daemen, M. Peeters and G. Van Assche. The hash functions are an essential tool for securing the integrity of electronic information and the XOFs offer the added flexibility of having a variable output length. This application contains an implementation of these functions and also of the SHA-3-based Message Authentication Code HMAC.<img src="https://www.maplesoft.com/view.aspx?si=153903/keccak.jpg" alt="The SHA-3 Family of Cryptographic Hash Functions and Extendable-Output Functions" style="max-width: 25%;" align="left"/>The National Institute of Standards and Technology (NIST) has released the final version of its "Secure Hash Algorithm-3" (SHA-3) standard in August 2015. The new standard ("Federal Information Processing Standard (FIPS) 202") specifies four cryptographic hash functions, called SHA3-224, SHA3-256, SHA3-384 and SHA3-512, as well as two Extendable-Output Functions (XOFs), called SHAKE128 and SHAKE256. These functions are based on the Keccak sponge function, designed by G. Bertoni, J. Daemen, M. Peeters and G. Van Assche. The hash functions are an essential tool for securing the integrity of electronic information and the XOFs offer the added flexibility of having a variable output length. This application contains an implementation of these functions and also of the SHA-3-based Message Authentication Code HMAC.https://www.maplesoft.com/applications/view.aspx?SID=153903&ref=FeedFri, 16 Oct 2015 04:00:00 ZJosé Luis Gómez PardoJosé Luis Gómez PardoEscapeTime Fractals
https://www.maplesoft.com/applications/view.aspx?SID=153882&ref=Feed
<P>
The <A HREF="/support/help/Maple/view.aspx?path=Fractals/EscapeTime">Fractals</A> package in Maple makes it easier to create and explore popular fractals, including the Mandelbrot, Julia, Newton, and other time-iterative fractals. The Fractals package can quickly apply various escape time iterative maps over rectangular regions in the complex plane, the results of which consist of images that approximate well-known fractal sets. In the following application, you can explore escape time fractals by manipulating parameters pertaining to the generation of Mandelbrot, Julia, Newton and Burning Ship fractals.</P>
<P>
<B>Also:</B> You can <A HREF="http://maplecloud.maplesoft.com/application.jsp?appId=5690839489576960">interact with this application</A> in the MapleCloud!</P><img src="https://www.maplesoft.com/view.aspx?si=153882/escapetimefractal.png" alt="EscapeTime Fractals" style="max-width: 25%;" align="left"/><P>
The <A HREF="/support/help/Maple/view.aspx?path=Fractals/EscapeTime">Fractals</A> package in Maple makes it easier to create and explore popular fractals, including the Mandelbrot, Julia, Newton, and other time-iterative fractals. The Fractals package can quickly apply various escape time iterative maps over rectangular regions in the complex plane, the results of which consist of images that approximate well-known fractal sets. In the following application, you can explore escape time fractals by manipulating parameters pertaining to the generation of Mandelbrot, Julia, Newton and Burning Ship fractals.</P>
<P>
<B>Also:</B> You can <A HREF="http://maplecloud.maplesoft.com/application.jsp?appId=5690839489576960">interact with this application</A> in the MapleCloud!</P>https://www.maplesoft.com/applications/view.aspx?SID=153882&ref=FeedFri, 25 Sep 2015 04:00:00 ZMaplesoftMaplesoftThe SEIR model with births and deaths
https://www.maplesoft.com/applications/view.aspx?SID=153879&ref=Feed
<P>This interactive application explores the SEIR model for the spread of disease. The SEIR model is an extension of the classical SIR (Susceptibles, Infected, Recovered) model, where a fourth compartment is added that contains exposed persons which are infected but are not yet infectious. The SEIR (Susceptibles, Exposed, Infectious, Recovered) model as presented here covers also births and deaths.</P>
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<B>Also:</B> <A HREF="http://maplecloud.maplesoft.com/application.jsp?appId=6407056173039616">View and interact with this app in the MapleCloud!</A></P><img src="https://www.maplesoft.com/view.aspx?si=153879/seirThumb.jpg" alt="The SEIR model with births and deaths" style="max-width: 25%;" align="left"/><P>This interactive application explores the SEIR model for the spread of disease. The SEIR model is an extension of the classical SIR (Susceptibles, Infected, Recovered) model, where a fourth compartment is added that contains exposed persons which are infected but are not yet infectious. The SEIR (Susceptibles, Exposed, Infectious, Recovered) model as presented here covers also births and deaths.</P>
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<B>Also:</B> <A HREF="http://maplecloud.maplesoft.com/application.jsp?appId=6407056173039616">View and interact with this app in the MapleCloud!</A></P>https://www.maplesoft.com/applications/view.aspx?SID=153879&ref=FeedWed, 16 Sep 2015 04:00:00 ZGünter EdenharterGünter Edenharter