Maple Document: New Applications
http://www.maplesoft.com/applications/category.aspx?cid=1337
en-us2016 Maplesoft, A Division of Waterloo Maple Inc.Maplesoft Document SystemThu, 11 Feb 2016 09:05:38 GMTThu, 11 Feb 2016 09:05:38 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
Global Population from 1804 to 2015
http://www.maplesoft.com/applications/view.aspx?SID=153967&ref=Feed
This worksheet is concerned with the development of the global population during the period of 1804 – 2015, where the population rose from 10^9 to 7.4*10^9. The given data has been interpolated by the cubic spline function. Several nonlinear model functions to data have been suggested and tested by using error norms.<img src="/view.aspx?si=153967/population.png" alt="Global Population from 1804 to 2015" align="left"/>This worksheet is concerned with the development of the global population during the period of 1804 – 2015, where the population rose from 10^9 to 7.4*10^9. The given data has been interpolated by the cubic spline function. Several nonlinear model functions to data have been suggested and tested by using error norms.153967Tue, 09 Feb 2016 05:00:00 ZProf. Josef BettenProf. Josef BettenThe Schwarz-Christoffel panel method: a computational kit
http://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="/view.aspx?si=153963/temporaryAirfoils.png" alt="The Schwarz-Christoffel panel method: a computational kit" 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.153963Wed, 03 Feb 2016 05:00:00 ZLuis Sainz de los TerrerosLuis Sainz de los TerrerosStatically Indeterminate Structure
http://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="/view.aspx?si=153940/391e24e981ea8d11454375def604a185.gif" alt="Statically Indeterminate Structure" 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.153940Mon, 25 Jan 2016 05:00:00 ZDr. Aleksey ShirkoDr. Aleksey ShirkoCampo de direcciones: Un caso de estudio.
http://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="/view.aspx?si=153954/Captura.PNG" alt="Campo de direcciones: Un caso de estudio." 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.153954Sat, 23 Jan 2016 05:00:00 ZDr. Ranferi GutierrezDr. Ranferi GutierrezGlobal Temperature Anomaly
http://www.maplesoft.com/applications/view.aspx?SID=153951&ref=Feed
The temperature anomaly or temperature index is defined as the change from a reference temperature or a long-term mean value. A positive ( negative) anomaly indicates that a measured temperuture is warmer (cooler) than the reference value. In this worksheet anomalies have been based upon the period between 1951 to 1980. We consider especially temperature change from 1980 to 2015.<img src="/view.aspx?si=153951/GlobalTemperature.png" alt="Global Temperature Anomaly" align="left"/>The temperature anomaly or temperature index is defined as the change from a reference temperature or a long-term mean value. A positive ( negative) anomaly indicates that a measured temperuture is warmer (cooler) than the reference value. In this worksheet anomalies have been based upon the period between 1951 to 1980. We consider especially temperature change from 1980 to 2015.153951Tue, 19 Jan 2016 05:00:00 ZProf. Josef BettenProf. Josef BettenExponential map fractal viewer
http://www.maplesoft.com/applications/view.aspx?SID=153953&ref=Feed
Static fractal viewer for the Julia sets of the exponential map lambda*exp(z), with variable lambda. Allows adjustable viewing window, zoom-in and display of periodic attractors up to period 5. Dynamic version can generate animated views, like the Knaster explosion of period 3 shown on the figure.<img src="/view.aspx?si=153953/3djulia.png" alt="Exponential map fractal viewer" align="left"/>Static fractal viewer for the Julia sets of the exponential map lambda*exp(z), with variable lambda. Allows adjustable viewing window, zoom-in and display of periodic attractors up to period 5. Dynamic version can generate animated views, like the Knaster explosion of period 3 shown on the figure.153953Tue, 19 Jan 2016 05:00:00 ZRobert Israel, Carl LoveRobert Israel, Carl LoveDemo Worksheet for Numerical Delay Differential Equation Solution
http://www.maplesoft.com/applications/view.aspx?SID=153939&ref=Feed
<P>This application shows several examples of modeling using delay differential equations in Maple. These examples are from the webinar <A HREF="http://www.maplesoft.com/products/maple/demo/player/2015/solvingdelaydiffeq.aspx">Solving Delay Differential Equations</A>.</P>
<P>Note: Requires Maple 2015.2 or later.</P><img src="/view.aspx?si=153939/dde.PNG" alt="Demo Worksheet for Numerical Delay Differential Equation Solution" align="left"/><P>This application shows several examples of modeling using delay differential equations in Maple. These examples are from the webinar <A HREF="http://www.maplesoft.com/products/maple/demo/player/2015/solvingdelaydiffeq.aspx">Solving Delay Differential Equations</A>.</P>
<P>Note: Requires Maple 2015.2 or later.</P>153939Wed, 16 Dec 2015 05:00:00 ZAllan WittkopfAllan WittkopfHoliday Greetings and Tupper’s Self-Referential Formula
http://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="/view.aspx?si=153935/teaserimage.png" alt="Holiday Greetings and Tupper’s Self-Referential Formula" 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.153935Fri, 11 Dec 2015 05:00:00 ZSamir KhanSamir KhanNonlinear Viscoelastic Behaviour of Brain Tissue
http://www.maplesoft.com/applications/view.aspx?SID=153923&ref=Feed
In this worksheet the relaxation of Brain Tissue has been calculated to experimental data by two nonlinear model functions:
a five parameters PRONY-Series and compared with a three parameters Sqrt(t)-Law due to BETTEN, Creep Mechanics, 3rd edtion, 2008 Springer-Verlag Berlin / Heidelberg.<img src="/applications/images/app_image_blank_lg.jpg" alt="Nonlinear Viscoelastic Behaviour of Brain Tissue" align="left"/>In this worksheet the relaxation of Brain Tissue has been calculated to experimental data by two nonlinear model functions:
a five parameters PRONY-Series and compared with a three parameters Sqrt(t)-Law due to BETTEN, Creep Mechanics, 3rd edtion, 2008 Springer-Verlag Berlin / Heidelberg.153923Tue, 01 Dec 2015 05:00:00 ZProf. Josef BettenProf. Josef BettenByte Frequency Analyzer
http://www.maplesoft.com/applications/view.aspx?SID=153920&ref=Feed
In the cryptographic research an important operation is to determine the byte-frequency of non-encrypted and encrypted files. This action allows us to appraise the quality of the cryptographic algorithms. This application implements a `byte-frequency analyzer` in Maple. Results are displayed in column graphs, using both linear and logarithmic scales on the y-axis. The logarithmic y-axis is very useful if the differences between the byte values are large. The displayed column graphs can be exported in six formats (Bitmap, PNG, GIF, JPEG, Encapsulated Postcript, PDF and Windows Metafile) for use in documents concerning cryptography and file processing tools.<img src="/view.aspx?si=153920/bytefreq.png" alt="Byte Frequency Analyzer" align="left"/>In the cryptographic research an important operation is to determine the byte-frequency of non-encrypted and encrypted files. This action allows us to appraise the quality of the cryptographic algorithms. This application implements a `byte-frequency analyzer` in Maple. Results are displayed in column graphs, using both linear and logarithmic scales on the y-axis. The logarithmic y-axis is very useful if the differences between the byte values are large. The displayed column graphs can be exported in six formats (Bitmap, PNG, GIF, JPEG, Encapsulated Postcript, PDF and Windows Metafile) for use in documents concerning cryptography and file processing tools.153920Thu, 12 Nov 2015 05:00:00 ZCzeslaw KoscielnyCzeslaw KoscielnyMetacyclic Groups by Maple
http://www.maplesoft.com/applications/view.aspx?SID=153918&ref=Feed
A class of metacyclic groups is considered for Maple computations. Tables of groups, inverse elements and orders are found out. Centers and conjugate classes of these groups are computed also. The method used is based on construction of a complex copy of the metacyclic group to make Maple computations easier.
The advantage of this treatment of metacyclic groups is that mathematical form of the subject is maintained to a great degree.<img src="/applications/images/app_image_blank_lg.jpg" alt="Metacyclic Groups by Maple" align="left"/>A class of metacyclic groups is considered for Maple computations. Tables of groups, inverse elements and orders are found out. Centers and conjugate classes of these groups are computed also. The method used is based on construction of a complex copy of the metacyclic group to make Maple computations easier.
The advantage of this treatment of metacyclic groups is that mathematical form of the subject is maintained to a great degree.153918Tue, 10 Nov 2015 05:00:00 ZKahtan H. AlzubaidyKahtan H. AlzubaidyGain of an Ideal and Non-Ideal Amplifier
http://www.maplesoft.com/applications/view.aspx?SID=153907&ref=Feed
This application models the ideal and non-ideal behavior of an amplifier.<img src="/view.aspx?si=153907/amplifiergain.png" alt="Gain of an Ideal and Non-Ideal Amplifier" align="left"/>This application models the ideal and non-ideal behavior of an amplifier.153907Fri, 30 Oct 2015 04:00:00 ZSamir KhanSamir KhanPV Diode Parameter Estimation
http://www.maplesoft.com/applications/view.aspx?SID=153908&ref=Feed
This application fits experimental I-V data to an equation that describes a photovoltaic diode.<img src="/view.aspx?si=153908/pvdiode.png" alt="PV Diode Parameter Estimation" align="left"/>This application fits experimental I-V data to an equation that describes a photovoltaic diode.153908Fri, 30 Oct 2015 04:00:00 ZSamir KhanSamir KhanSending Emails from the Maple Command Line
http://www.maplesoft.com/applications/view.aspx?SID=153912&ref=Feed
You can send emails from the Maple command line via Mailgun (http://mailgun.com) a free email delivery service with an web-based API. The code in this application communicates with this API to send an email; you'll need to replace certain parts with details from your own Mailgun account.<img src="/applications/images/app_image_blank_lg.jpg" alt="Sending Emails from the Maple Command Line" align="left"/>You can send emails from the Maple command line via Mailgun (http://mailgun.com) a free email delivery service with an web-based API. The code in this application communicates with this API to send an email; you'll need to replace certain parts with details from your own Mailgun account.153912Fri, 30 Oct 2015 04:00:00 ZSamir KhanSamir KhanThe SHA-3 Family of Cryptographic Hash Functions and Extendable-Output Functions
http://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="/view.aspx?si=153903/keccak.jpg" alt="The SHA-3 Family of Cryptographic Hash Functions and Extendable-Output Functions" 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.153903Fri, 16 Oct 2015 04:00:00 ZJosé Luis Gómez PardoJosé Luis Gómez PardoMultiplicative Cyclic Groups by Maple
http://www.maplesoft.com/applications/view.aspx?SID=153897&ref=Feed
<P>In this article we introduce cyclic groups in multiplicative notations by using Maple 13. Group table,order table,and inverse table are given.</P>
<P>
All generators and all subgroups of a multiplicative cyclic group are given also. Hasse diagrams of subgroup lattices are shown. All homomorphisms and automorphisms of such groups are computed as well as the kernel and image of a homomorphism.</P><img src="/applications/images/app_image_blank_lg.jpg" alt="Multiplicative Cyclic Groups by Maple" align="left"/><P>In this article we introduce cyclic groups in multiplicative notations by using Maple 13. Group table,order table,and inverse table are given.</P>
<P>
All generators and all subgroups of a multiplicative cyclic group are given also. Hasse diagrams of subgroup lattices are shown. All homomorphisms and automorphisms of such groups are computed as well as the kernel and image of a homomorphism.</P>153897Thu, 15 Oct 2015 04:00:00 ZKahtan H. AlzubaidyKahtan H. AlzubaidyNonlinear Regression with Maple
http://www.maplesoft.com/applications/view.aspx?SID=153895&ref=Feed
Many Authors have discussed Nonlinear Regression based upon the LEVENBERG-MARQUART algorithm. Often the SIGMAPLOT Program is very useful, too.
In this worksheet the Maple routine NonlinearFit [Statistics] has been preferred, to fit nonlinear model functions to given data. This routine is very effective and simple to use. Examples in this document include the envelopes of FRENEL's integrals and the hardening of an aluminium alloy.<img src="/applications/images/app_image_blank_lg.jpg" alt="Nonlinear Regression with Maple" align="left"/>Many Authors have discussed Nonlinear Regression based upon the LEVENBERG-MARQUART algorithm. Often the SIGMAPLOT Program is very useful, too.
In this worksheet the Maple routine NonlinearFit [Statistics] has been preferred, to fit nonlinear model functions to given data. This routine is very effective and simple to use. Examples in this document include the envelopes of FRENEL's integrals and the hardening of an aluminium alloy.153895Wed, 14 Oct 2015 04:00:00 ZProf. Josef BettenProf. Josef BettenEscapeTime Fractals
http://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="/view.aspx?si=153882/escapetimefractal.png" alt="EscapeTime Fractals" 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>153882Fri, 25 Sep 2015 04:00:00 ZMaplesoftMaplesoftThe SIR model with births and deaths
http://www.maplesoft.com/applications/view.aspx?SID=153878&ref=Feed
<P>This interactive application explores a variation of the classic SIR model for the spread of disease. The classical SIR model assumes that a population can be divided into three distinct compartments: S is the proportion of susceptibles, I is the proportion of infected persons and R is the proportion of persons that have recovered from infection and are now immune against the disease. One extension to the classic SIR model is to add births and deaths to the model. Thus there is an inflow of new susceptibles and an outflow from all three compartments.</P>
<P>
<B>Also:</B> <A HREF="http://maplecloud.maplesoft.com/application.jsp?appId=6584880737550336">View and interact with this app in the MapleCloud!</A></P><img src="/view.aspx?si=153878/sir_births_deaths.png" alt="The SIR model with births and deaths" align="left"/><P>This interactive application explores a variation of the classic SIR model for the spread of disease. The classical SIR model assumes that a population can be divided into three distinct compartments: S is the proportion of susceptibles, I is the proportion of infected persons and R is the proportion of persons that have recovered from infection and are now immune against the disease. One extension to the classic SIR model is to add births and deaths to the model. Thus there is an inflow of new susceptibles and an outflow from all three compartments.</P>
<P>
<B>Also:</B> <A HREF="http://maplecloud.maplesoft.com/application.jsp?appId=6584880737550336">View and interact with this app in the MapleCloud!</A></P>153878Wed, 16 Sep 2015 04:00:00 ZGünter EdenharterGünter EdenharterThe SEIR model with births and deaths
http://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>
<P>
<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="/view.aspx?si=153879/seir.png" alt="The SEIR model with births and deaths" 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>
<P>
<B>Also:</B> <A HREF="http://maplecloud.maplesoft.com/application.jsp?appId=6407056173039616">View and interact with this app in the MapleCloud!</A></P>153879Wed, 16 Sep 2015 04:00:00 ZGünter EdenharterGünter Edenharter