New Application Center Additions
http://www.maplesoft.com/applications
en-us2016 Maplesoft, A Division of Waterloo Maple Inc.Maplesoft Document SystemFri, 30 Sep 2016 11:43:29 GMTFri, 30 Sep 2016 11:43:29 GMTThe latest content added to the Application Centerhttp://www.mapleprimes.com/images/mapleapps.gifNew Application Center Additions
http://www.maplesoft.com/applications
Quantum Mechanics: Schrödinger vs Heisenberg picture
http://www.maplesoft.com/applications/view.aspx?SID=154153&ref=Feed
Departing from the Shrodinger picture of Quantum Mechanics, the Heisenberg picture and related formulas are derived.
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This application is also the subject of a <A HREF="http://www.mapleprimes.com/posts/205867-Quantum-Mechanics-Schrdinger-Vs-Heisenberg">blog post on MaplePrimes</A>.<img src="/view.aspx?si=154153/theoreticalphysics.jpg" alt="Quantum Mechanics: Schrödinger vs Heisenberg picture" align="left"/>Departing from the Shrodinger picture of Quantum Mechanics, the Heisenberg picture and related formulas are derived.
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This application is also the subject of a <A HREF="http://www.mapleprimes.com/posts/205867-Quantum-Mechanics-Schrdinger-Vs-Heisenberg">blog post on MaplePrimes</A>.154153Thu, 29 Sep 2016 04:00:00 ZPascal SzriftgiserPascal SzriftgiserThe Landau criterion for Superfluidity
http://www.maplesoft.com/applications/view.aspx?SID=154154&ref=Feed
The conditions for superfluidity of a system of identical particles at low temperature are derived.<BR><BR>This application is also the subject of a <A HREF="http://www.mapleprimes.com/posts/200240-Superfluidity-In-Quantum-Mechanics">blog post on MaplePrimes</A>.<img src="/view.aspx?si=154154/quantummechanics.jpg" alt="The Landau criterion for Superfluidity" align="left"/>The conditions for superfluidity of a system of identical particles at low temperature are derived.<BR><BR>This application is also the subject of a <A HREF="http://www.mapleprimes.com/posts/200240-Superfluidity-In-Quantum-Mechanics">blog post on MaplePrimes</A>.154154Thu, 29 Sep 2016 04:00:00 ZPascal SzriftgiserPascal SzriftgiserPulsdruckwerte aus Langzeitmessung
http://www.maplesoft.com/applications/view.aspx?SID=154144&ref=Feed
During a period of nearly 24 hours the blood pressure of a patient at a Hospital in Aachen has been measured. Thus, we have a lot of Systole-, Diastole-, Pulse Pressure-, and Pulse-Values important for a medical doctor treating sick patients. This worksheet is concerned with the mathematical analysis of this data.<img src="/view.aspx?si=154144/pressure.PNG" alt="Pulsdruckwerte aus Langzeitmessung" align="left"/>During a period of nearly 24 hours the blood pressure of a patient at a Hospital in Aachen has been measured. Thus, we have a lot of Systole-, Diastole-, Pulse Pressure-, and Pulse-Values important for a medical doctor treating sick patients. This worksheet is concerned with the mathematical analysis of this data.154144Tue, 06 Sep 2016 04:00:00 ZProf. Josef BettenProf. Josef BettenEl Niño Temperature Anomalies Modeled by a Delay Differential Equation
http://www.maplesoft.com/applications/view.aspx?SID=154142&ref=Feed
Delay differential equations are differential equations in which the derivative of the unknown function at a certain time depends on past values of the function and/or its derivatives. Max J. Suarez and Paul S. Schopf used such an equation to model the El Niño phenomenon. This worksheet demonstrate how Maple's dsolve command can be used to solve a delay differential equation numerically.<img src="/view.aspx?si=154142/waves.png" alt="El Niño Temperature Anomalies Modeled by a Delay Differential Equation" align="left"/>Delay differential equations are differential equations in which the derivative of the unknown function at a certain time depends on past values of the function and/or its derivatives. Max J. Suarez and Paul S. Schopf used such an equation to model the El Niño phenomenon. This worksheet demonstrate how Maple's dsolve command can be used to solve a delay differential equation numerically.154142Mon, 29 Aug 2016 04:00:00 ZDr. Frank WangDr. Frank WangAplicativo de Ecuaciones en primer orden
http://www.maplesoft.com/applications/view.aspx?SID=154139&ref=Feed
With this application you can develop your equations without the need to worry about the difficult calculation. Save calculation time and you will increase the time in interpreting the results. It was developed in Maple 2016 and can be executed in maple player.
In Spanish.<img src="/view.aspx?si=154139/appec.png" alt="Aplicativo de Ecuaciones en primer orden" align="left"/>With this application you can develop your equations without the need to worry about the difficult calculation. Save calculation time and you will increase the time in interpreting the results. It was developed in Maple 2016 and can be executed in maple player.
In Spanish.154139Sun, 07 Aug 2016 04:00:00 ZProf. Lenin Araujo CastilloProf. Lenin Araujo CastilloGame 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<BR>Dr. Henk KoppelaarDr. William Hank Richardson<BR>Dr. Henk KoppelaarSteam 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 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:
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<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 KhanIsothermal 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.
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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.
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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 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.
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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.
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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.
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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.
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The water displacement across the manometer is 3 cm. Given the measurement error, this application calculates the potential range of flowrates.
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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.
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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.
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The water displacement across the manometer is 3 cm. Given the measurement error, this application calculates the potential range of flowrates.
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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 KhanPsychrometric Chart
http://www.maplesoft.com/applications/view.aspx?SID=154124&ref=Feed
This application contains an interactive psychrometric chart.
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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.
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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.
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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.
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You can explore the e-book using the Navigator or the table of contents.
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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.
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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.
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You can explore the e-book using the Navigator or the table of contents.
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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.
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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.
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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>.
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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>.
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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 KoscielnyThermodynamic Calculations of Cascade Vapor Compression Refrigeration Cycle
http://www.maplesoft.com/applications/view.aspx?SID=154116&ref=Feed
In the event that a high COP of a refrigeration cycle is of greater importance compared to other factors, it is possible to significantly increase the COP of a basic cycle through the use of a multistage vapor compression cycle. This is especially true when the pressure ratio between the heat rejection and heat absorption pressures is large 5 or more.
Multistaging involves one or more intermediate pressures between the heat rejection and heat absorption pressures, and a series of compressors operating between successive pressure intervals.
Cascade cycle is simply a chain of single stage vapor compression cycles operating in series, such that the condenser of a lower temperature cycle provides the heat input to the evaporator of the higher temperature cycle.<img src="/view.aspx?si=154116/CascadeHP.png" alt="Thermodynamic Calculations of Cascade Vapor Compression Refrigeration Cycle" align="left"/>In the event that a high COP of a refrigeration cycle is of greater importance compared to other factors, it is possible to significantly increase the COP of a basic cycle through the use of a multistage vapor compression cycle. This is especially true when the pressure ratio between the heat rejection and heat absorption pressures is large 5 or more.
Multistaging involves one or more intermediate pressures between the heat rejection and heat absorption pressures, and a series of compressors operating between successive pressure intervals.
Cascade cycle is simply a chain of single stage vapor compression cycles operating in series, such that the condenser of a lower temperature cycle provides the heat input to the evaporator of the higher temperature cycle.154116Tue, 07 Jun 2016 04:00:00 ZVolodymyr VoloshchukVolodymyr VoloshchukÉditeur 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 Levesque