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, 28 Jul 2016 02:57:43 GMTThu, 28 Jul 2016 02:57:43 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
Game Theory in Maple
http://www.maplesoft.com/applications/view.aspx?SID=154131&ref=Feed
This worksheet template allows one to enter the total conflict or partial conflict game and have it solved. The template also allows for the solution of the Prudential Strategies/Security levels and the Nash arbitration solution.<img src="/applications/images/app_image_blank_lg.jpg" alt="Game Theory in Maple" align="left"/>This worksheet template allows one to enter the total conflict or partial conflict game and have it solved. The template also allows for the solution of the Prudential Strategies/Security levels and the Nash arbitration solution.154131Thu, 07 Jul 2016 04:00:00 ZProf. William FoxProf. William FoxSteepest Ascent Method
http://www.maplesoft.com/applications/view.aspx?SID=154132&ref=Feed
This worksheet applies the gradient search method for multi-variable maximization problems. This is an update of our earlier version in the application center. This worksheet solves nonlinear optimization problems by the method of steepest ascent.
Given a function <EM>f(x,y)</EM> and a current point <EM>(`x__0`, `y__0`)</EM>, the search direction is taken to be the gradient of <EM>f(x,y)</EM> at <EM>(`x__0`, `y__0`)</EM>. The step length is computed by line search, i.e. as the step length that maximizes <EM>f(x,y)</EM> along the gradient direction.<img src="/applications/images/app_image_blank_lg.jpg" alt="Steepest Ascent Method" align="left"/>This worksheet applies the gradient search method for multi-variable maximization problems. This is an update of our earlier version in the application center. This worksheet solves nonlinear optimization problems by the method of steepest ascent.
Given a function <EM>f(x,y)</EM> and a current point <EM>(`x__0`, `y__0`)</EM>, the search direction is taken to be the gradient of <EM>f(x,y)</EM> at <EM>(`x__0`, `y__0`)</EM>. The step length is computed by line search, i.e. as the step length that maximizes <EM>f(x,y)</EM> along the gradient direction.154132Thu, 07 Jul 2016 04:00:00 ZDr. William Hank Richardson, Emeritus, Francis Marion University<BR>Dr. Henk KoppelaarDr. William Hank Richardson, Emeritus, Francis Marion University<BR>Dr. Henk KoppelaarIsothermal Compression of Methane
http://www.maplesoft.com/applications/view.aspx?SID=154127&ref=Feed
Methane is initially at 400 K and 2 MPa, and then compressed to 5 MPa in a piston.
<BR><BR>
Assuming isothermal operation, this application calculates the work done (using Maple’s numeric integrators), and the heat transferred.<img src="/view.aspx?si=154127/work_done_in_isothermal_compression.png" alt="Isothermal Compression of Methane" align="left"/>Methane is initially at 400 K and 2 MPa, and then compressed to 5 MPa in a piston.
<BR><BR>
Assuming isothermal operation, this application calculates the work done (using Maple’s numeric integrators), and the heat transferred.154127Fri, 24 Jun 2016 04:00:00 ZSamir KhanSamir KhanEfficiency of a Rankine Cycle
http://www.maplesoft.com/applications/view.aspx?SID=154126&ref=Feed
This application calculates the efficiency of a Rankine cycle with:
<UL>
<LI>a condenser temperature of 380 K,
<LI>a compressor output pressure of 3.5 MPa
<LI>and a boiler temperature of 900 K.
</UL>
Additionally, the thermodynamic cycle is visualized on a temperature-entropy plot.<img src="/view.aspx?si=154126/rankine_cycle_using_water.jpg" alt="Efficiency of a Rankine Cycle" align="left"/>This application calculates the efficiency of a Rankine cycle with:
<UL>
<LI>a condenser temperature of 380 K,
<LI>a compressor output pressure of 3.5 MPa
<LI>and a boiler temperature of 900 K.
</UL>
Additionally, the thermodynamic cycle is visualized on a temperature-entropy plot.154126Fri, 24 Jun 2016 04:00:00 ZSamir KhanSamir KhanHeat Flows in and COP of a Refrigeration Cycle
http://www.maplesoft.com/applications/view.aspx?SID=154128&ref=Feed
An ideal vapor-compression refrigeration cycle has R134a as the working fluid at a mass flowrate of 0.09 kg/s, with a condenser pressure of 0.5 MPa and an evaporator pressure of 0.15 MPa.
<BR><BR>
This application calculates:
<UL>
<LI>the rate of heat removal from the evaporator
<LI>the power input to the compressor
<LI>the rate of heat rejection in the condenser
<LI>and the COP
</UL>
In an ideal vapor compression refrigeration cycle,
<UL>
<LI>the compression process is isentropic
<LI>the refrigerant enters the compressor as a saturated vapor at the evaporator pressure
<LI>and leaves the condenser as saturated liquid at the condenser pressure.
</UL><img src="/view.aspx?si=154128/heat_flows_in_and_COP_of_a_refrigeration_cycle.png" alt="Heat Flows in and COP of a Refrigeration Cycle" align="left"/>An ideal vapor-compression refrigeration cycle has R134a as the working fluid at a mass flowrate of 0.09 kg/s, with a condenser pressure of 0.5 MPa and an evaporator pressure of 0.15 MPa.
<BR><BR>
This application calculates:
<UL>
<LI>the rate of heat removal from the evaporator
<LI>the power input to the compressor
<LI>the rate of heat rejection in the condenser
<LI>and the COP
</UL>
In an ideal vapor compression refrigeration cycle,
<UL>
<LI>the compression process is isentropic
<LI>the refrigerant enters the compressor as a saturated vapor at the evaporator pressure
<LI>and leaves the condenser as saturated liquid at the condenser pressure.
</UL>154128Fri, 24 Jun 2016 04:00:00 ZSamir KhanSamir KhanEffect of Measurement Error in Venturi Flowmeter
http://www.maplesoft.com/applications/view.aspx?SID=154129&ref=Feed
Venturi flowmeters use the height of a liquid column to measure the pressure drop (and hence the flowrate) of fluid in a pipe. However, small errors in reading the height of the column will affect the calculated value of the flowrate.
<BR><BR>
Methane (at 1 bar and 40°C) enters a venturi meter with a water manometer (with a measurement error of ±1 mm). The upstream pipe area is 0.05 m2 and the venturi throat diameter is 0.025 m2.
<BR><BR>
The water displacement across the manometer is 3 cm. Given the measurement error, this application calculates the potential range of flowrates.
<BR><BR>
This application uses several Maple packages, including <A HREF="/support/help/maple/view.aspx?path=ThermophysicalData%2fProperty">ThermophsyicalData</A>, <A HREF="/support/help/maple/view.aspx?path=ScientificConstants%2FPhysicalConstants">ScientificConstants</A> and <A HREF="/support/help/maple/view.aspx?path=Tolerances">Tolerances</A>. The Tolerances package is particularly important because it allows measurement error to be carried through a series of calculations<img src="/applications/images/app_image_blank_lg.jpg" alt="Effect of Measurement Error in Venturi Flowmeter" align="left"/>Venturi flowmeters use the height of a liquid column to measure the pressure drop (and hence the flowrate) of fluid in a pipe. However, small errors in reading the height of the column will affect the calculated value of the flowrate.
<BR><BR>
Methane (at 1 bar and 40°C) enters a venturi meter with a water manometer (with a measurement error of ±1 mm). The upstream pipe area is 0.05 m2 and the venturi throat diameter is 0.025 m2.
<BR><BR>
The water displacement across the manometer is 3 cm. Given the measurement error, this application calculates the potential range of flowrates.
<BR><BR>
This application uses several Maple packages, including <A HREF="/support/help/maple/view.aspx?path=ThermophysicalData%2fProperty">ThermophsyicalData</A>, <A HREF="/support/help/maple/view.aspx?path=ScientificConstants%2FPhysicalConstants">ScientificConstants</A> and <A HREF="/support/help/maple/view.aspx?path=Tolerances">Tolerances</A>. The Tolerances package is particularly important because it allows measurement error to be carried through a series of calculations154129Fri, 24 Jun 2016 04:00:00 ZSamir KhanSamir KhanSteam Turbine Analysis
http://www.maplesoft.com/applications/view.aspx?SID=154125&ref=Feed
Assuming adiabatic operation and an isentropic efficiency of 0.85, this application calculates the turbine power and temperature of the exit gas.<img src="/applications/images/app_image_blank_lg.jpg" alt="Steam Turbine Analysis" align="left"/>Assuming adiabatic operation and an isentropic efficiency of 0.85, this application calculates the turbine power and temperature of the exit gas.154125Fri, 24 Jun 2016 04:00:00 ZSamir KhanSamir KhanPsychrometric Chart
http://www.maplesoft.com/applications/view.aspx?SID=154124&ref=Feed
This application contains an interactive psychrometric chart.
<BR><BR>
As you move the mouse over the psychrometric chart, Maple:
<UL>
<LI>calculates thermophysical data for the current dry bulb temperature and humidity ratio.
<LI>and overlays the information on top of the chart.
</UL>
The thermophysical data includes the enthalpy, specific heat capacity, thermal conductivity, viscosity, specific volume, entropy and more.<img src="/view.aspx?si=154124/psychrometric.PNG" alt="Psychrometric Chart" align="left"/>This application contains an interactive psychrometric chart.
<BR><BR>
As you move the mouse over the psychrometric chart, Maple:
<UL>
<LI>calculates thermophysical data for the current dry bulb temperature and humidity ratio.
<LI>and overlays the information on top of the chart.
</UL>
The thermophysical data includes the enthalpy, specific heat capacity, thermal conductivity, viscosity, specific volume, entropy and more.154124Thu, 23 Jun 2016 04:00:00 ZSamir KhanSamir KhanThermal Engineering with Maple – Application Collection
http://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="/view.aspx?si=154123/thermal.png" alt="Thermal Engineering with Maple – Application Collection" 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.154123Wed, 22 Jun 2016 04:00:00 ZSamir KhanSamir KhanIdeal Brayton Cycle
http://www.maplesoft.com/applications/view.aspx?SID=154018&ref=Feed
This application calculates the thermal efficiency of an ideal Brayton cycle.
<BR><BR>
Brayton cycles were often used as the basis of the first combustion engines in the 19th century<img src="/view.aspx?si=154018/brayton2.png" alt="Ideal Brayton Cycle" align="left"/>This application calculates the thermal efficiency of an ideal Brayton cycle.
<BR><BR>
Brayton cycles were often used as the basis of the first combustion engines in the 19th century154018Wed, 22 Jun 2016 04:00:00 ZSamir KhanSamir KhanSaturation Temperature of Fluids
http://www.maplesoft.com/applications/view.aspx?SID=154022&ref=Feed
This application plots the saturation temperature, or boiling point, of a user-selected fluid as a function of pressure. The fluids and pressure limits are those supported by the <A HREF="http://www.maplesoft.com/support/help/maple/view.aspx?path=ThermophysicalData">ThermophysicalData package</A>.
<BR><BR>
The pressure range can be changed to any value between the minimum and maximum.<img src="/view.aspx?si=154022/saturation2.jpg" alt="Saturation Temperature of Fluids" align="left"/>This application plots the saturation temperature, or boiling point, of a user-selected fluid as a function of pressure. The fluids and pressure limits are those supported by the <A HREF="http://www.maplesoft.com/support/help/maple/view.aspx?path=ThermophysicalData">ThermophysicalData package</A>.
<BR><BR>
The pressure range can be changed to any value between the minimum and maximum.154022Wed, 22 Jun 2016 04:00:00 ZSamir KhanSamir KhanA Presidential Election Game: 2016 Edition
http://www.maplesoft.com/applications/view.aspx?SID=154122&ref=Feed
This application is an educational activity modeling the current system of U. S. Presidential Elections. It is set up in the form of a game in which each player manages a candidate from one of the United States' two major parties. Eight turns simulate an eight week long campaign, with players' decisions affecting the standings of their candidates in state-by-state polls. After the campaign is complete, these polls are used to simulated elections within each state and the District of Columbia and a winner is determined according to the Electoral College results.
This is a modified version of A Presidential Election Game: 2008 Edition and 2012 Edition. Electoral College, candidate and polling information have been updated.<img src="/view.aspx?si=154122/Game_Worksheet_Picture.png" alt="A Presidential Election Game: 2016 Edition" align="left"/>This application is an educational activity modeling the current system of U. S. Presidential Elections. It is set up in the form of a game in which each player manages a candidate from one of the United States' two major parties. Eight turns simulate an eight week long campaign, with players' decisions affecting the standings of their candidates in state-by-state polls. After the campaign is complete, these polls are used to simulated elections within each state and the District of Columbia and a winner is determined according to the Electoral College results.
This is a modified version of A Presidential Election Game: 2008 Edition and 2012 Edition. Electoral College, candidate and polling information have been updated.154122Wed, 15 Jun 2016 04:00:00 ZLinh Nguyen and Danielle PetkovsekLinh Nguyen and Danielle PetkovsekStrong Cryptographic Protection of Folders Using Fast Byte-Oriented Stream-Cipher with Addition in GF(256) and Key Length 2048 Bits
http://www.maplesoft.com/applications/view.aspx?SID=154117&ref=Feed
This application provides a user-friendly, mouse-driven encryption program that can be used to protect an entire folder of information at one time, including information stored in a cloud, on a hard disk, and on pendrives. It is suitable for use by anyone who has a need to protect information stored on their computers. The algorithm used is a fast byte-oriented stream-cipher that performs addition operations in GF(256) and uses a secret key of length 2048 bits.<img src="/view.aspx?si=154117/bca image.png" alt="Strong Cryptographic Protection of Folders Using Fast Byte-Oriented Stream-Cipher with Addition in GF(256) and Key Length 2048 Bits" align="left"/>This application provides a user-friendly, mouse-driven encryption program that can be used to protect an entire folder of information at one time, including information stored in a cloud, on a hard disk, and on pendrives. It is suitable for use by anyone who has a need to protect information stored on their computers. The algorithm used is a fast byte-oriented stream-cipher that performs addition operations in GF(256) and uses a secret key of length 2048 bits.154117Thu, 09 Jun 2016 04:00:00 ZCzeslaw KoscielnyCzeslaw KoscielnyÉditeur de courbes 2D
http://www.maplesoft.com/applications/view.aspx?SID=32956&ref=Feed
Cet éditeur 2D permet de tracer dans un plan cartésien des courbes de fonctions en x ou des courbes d'équations en x et y et d'y placer des asymptotes (verticales, horizontales ou obliques), des droites tangentes, des points de rencontre, des zéros, des nombres critiques, des nombres de transition, des expressions algébriques, des régions ombrées, des quadrillages et des marqueurs, un choix d' unités sur les axes, etc.<img src="/view.aspx?si=32956/2D.png" alt="Éditeur de courbes 2D" align="left"/>Cet éditeur 2D permet de tracer dans un plan cartésien des courbes de fonctions en x ou des courbes d'équations en x et y et d'y placer des asymptotes (verticales, horizontales ou obliques), des droites tangentes, des points de rencontre, des zéros, des nombres critiques, des nombres de transition, des expressions algébriques, des régions ombrées, des quadrillages et des marqueurs, un choix d' unités sur les axes, etc.32956Mon, 30 May 2016 04:00:00 ZAndre LevesqueAndre LevesqueInterpretación geométrica del proceso de solución de una ecuación trigonométrica
http://www.maplesoft.com/applications/view.aspx?SID=154110&ref=Feed
Esta aplicación tiene como objetivo ayudar al estudiante a comprender el significado geométrico de resolver la ecuación trigonométrica sen(theta) = c en un intervalo de longitud 2Pi.
La barra deslizante de la aplicación permite variar el valor de c, mientras que los gráficos ayudan al estudiante a visualizar y comprender el proceso de búsqueda de soluciones de la ecuación trigonométrica de interés.<img src="/view.aspx?si=154110/232a3a3435a381a76ee84170be3fcee2.gif" alt="Interpretación geométrica del proceso de solución de una ecuación trigonométrica" align="left"/>Esta aplicación tiene como objetivo ayudar al estudiante a comprender el significado geométrico de resolver la ecuación trigonométrica sen(theta) = c en un intervalo de longitud 2Pi.
La barra deslizante de la aplicación permite variar el valor de c, mientras que los gráficos ayudan al estudiante a visualizar y comprender el proceso de búsqueda de soluciones de la ecuación trigonométrica de interés.154110Tue, 24 May 2016 04:00:00 ZRanferi GutierrezRanferi GutierrezCryptographic Protection of E-Mail Attachment with Filename Extensions `txt`, `doc`, `docx`, `rtf` or `mw` Using the Secret Key of Length 1980 Bits
http://www.maplesoft.com/applications/view.aspx?SID=154109&ref=Feed
This worksheet contains an easy-to-use applications for encrypting and decrypting email attachments to ensure the security of confidential information. It can be used with Word, text, RTF, and Maple documents. The key space used by the algorithms is huge (1980 bits), therefore, the encrypted contents of the file is in practice unbreakable.<img src="/view.aspx?si=154109/tk1980b64.jpg" alt="Cryptographic Protection of E-Mail Attachment with Filename Extensions `txt`, `doc`, `docx`, `rtf` or `mw` Using the Secret Key of Length 1980 Bits" align="left"/>This worksheet contains an easy-to-use applications for encrypting and decrypting email attachments to ensure the security of confidential information. It can be used with Word, text, RTF, and Maple documents. The key space used by the algorithms is huge (1980 bits), therefore, the encrypted contents of the file is in practice unbreakable.154109Mon, 23 May 2016 04:00:00 ZCzeslaw KoscielnyCzeslaw KoscielnyDifferential Equation Solver
http://www.maplesoft.com/applications/view.aspx?SID=154102&ref=Feed
The application allows you to solve Ordinary Differential Equations. Enter an ODE, provide initial conditions and then click solve.
<BR><BR>
An online version of this <A HREF="http://maplecloud.maplesoft.com/application.jsp?appId=5691363796451328">Differential Equation Solver</A> is also available in the MapleCloud.<img src="/view.aspx?si=154102/solver.PNG" alt="Differential Equation Solver" align="left"/>The application allows you to solve Ordinary Differential Equations. Enter an ODE, provide initial conditions and then click solve.
<BR><BR>
An online version of this <A HREF="http://maplecloud.maplesoft.com/application.jsp?appId=5691363796451328">Differential Equation Solver</A> is also available in the MapleCloud.154102Tue, 17 May 2016 04:00:00 ZMaplesoftMaplesoftLocal Volatility and Implied Volatility
http://www.maplesoft.com/applications/view.aspx?SID=4878&ref=Feed
This application explores two different methods of exploring financial data. The first example examines fitting an implied volatility surface based on data from S&P 500 call options. The second computes option prices and models the local volatility for simulated market data.<img src="/view.aspx?si=4878/volatility.png" alt="Local Volatility and Implied Volatility" align="left"/>This application explores two different methods of exploring financial data. The first example examines fitting an implied volatility surface based on data from S&P 500 call options. The second computes option prices and models the local volatility for simulated market data.4878Wed, 11 May 2016 04:00:00 ZMaplesoftMaplesoftMatrix Representation of Quantum Entangled States: Understanding Bell's Inequality and Teleportation
http://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="/view.aspx?si=154100/8df7b465a1583cedab7e3e6452644591.gif" alt="Matrix Representation of Quantum Entangled States: Understanding Bell's Inequality and Teleportation" 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.154100Mon, 09 May 2016 04:00:00 ZDr. Frank WangDr. Frank WangTransport Encoding/Decoding and Cryptographic Protection of Computer Storage
http://www.maplesoft.com/applications/view.aspx?SID=154088&ref=Feed
This worksheet contains two user-friendly useful applications for encrypting personal files. One is useful for encoding arbitrary binary information, such as, for example, *.exe files, encrypted messages, cryptographic keys and audio and image files, for transmission by electronic mail. The second application provides an easy mechanism for non-computer science specialists to protect confidential data stored on their computers.<img src="/view.aspx?si=154088/cspr.jpg" alt="Transport Encoding/Decoding and Cryptographic Protection of Computer Storage" align="left"/>This worksheet contains two user-friendly useful applications for encrypting personal files. One is useful for encoding arbitrary binary information, such as, for example, *.exe files, encrypted messages, cryptographic keys and audio and image files, for transmission by electronic mail. The second application provides an easy mechanism for non-computer science specialists to protect confidential data stored on their computers.154088Thu, 21 Apr 2016 04:00:00 ZCzeslaw KoscielnyCzeslaw Koscielny