Maple Document: New Applications
http://www.maplesoft.com/applications/category.aspx?cid=1337
en-us2017 Maplesoft, A Division of Waterloo Maple Inc.Maplesoft Document SystemTue, 21 Nov 2017 23:17:22 GMTTue, 21 Nov 2017 23:17:22 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
Fibonacci Numbers
https://www.maplesoft.com/applications/view.aspx?SID=154362&ref=Feed
Many programming language tutorials have an example about computing Fibonacci numbers to illustrate recursion. Usually, however, these simple examples exhibit an abysmal runtime behaviour, namely, exponential in the index.
<BR><BR>
In this presentation, several more efficient ways of computing Fibonacci numbers, using Maple, are discussed. The best algorithm presented is based on doubling formulae for the Fibonacci numbers, which we also prove using Maple.<img src="/applications/images/app_image_blank_lg.jpg" alt="Fibonacci Numbers" align="left"/>Many programming language tutorials have an example about computing Fibonacci numbers to illustrate recursion. Usually, however, these simple examples exhibit an abysmal runtime behaviour, namely, exponential in the index.
<BR><BR>
In this presentation, several more efficient ways of computing Fibonacci numbers, using Maple, are discussed. The best algorithm presented is based on doubling formulae for the Fibonacci numbers, which we also prove using Maple.154362Tue, 21 Nov 2017 05:00:00 ZDr. Jürgen GerhardDr. Jürgen GerhardKinematics Curvilinear
https://www.maplesoft.com/applications/view.aspx?SID=154269&ref=Feed
With this application you can calculate the components of the acceleration. The scalar and vector components of the tangent and the normal. In addition to curvilinear kinetics in polar coordinates. It can be used in different engineers, especially mechanical, civil and more.
<BR><BR>
In Spanish.<img src="/view.aspx?si=154269/kc.png" alt="Kinematics Curvilinear" align="left"/>With this application you can calculate the components of the acceleration. The scalar and vector components of the tangent and the normal. In addition to curvilinear kinetics in polar coordinates. It can be used in different engineers, especially mechanical, civil and more.
<BR><BR>
In Spanish.154269Tue, 14 Nov 2017 05:00:00 ZProf. Lenin Araujo CastilloProf. Lenin Araujo CastilloWilks Calculator
https://www.maplesoft.com/applications/view.aspx?SID=154359&ref=Feed
A program designed to calculate your Wilks Coefficient, a number that is used to compare lifters between 2 weight classes, such as 59kg and 105kg, by using body weight and total weight lifted.<img src="/applications/images/app_image_blank_lg.jpg" alt="Wilks Calculator" align="left"/>A program designed to calculate your Wilks Coefficient, a number that is used to compare lifters between 2 weight classes, such as 59kg and 105kg, by using body weight and total weight lifted.154359Tue, 14 Nov 2017 05:00:00 ZDaniel ChesloDaniel ChesloScrambled Text
https://www.maplesoft.com/applications/view.aspx?SID=154354&ref=Feed
An urban legend* states that that text is still readable if all the letters in a word are randomized apart from the first and last. This Maple worksheet enables you to explore this urban legend.
<BR><BR>
Just enter some text into the text box and click a button. Can you read the scrambled text!
<BR><BR>
* <A HREF="http://www.snopes.com/language/apocryph/cambridge.asp" TARGET="_blank">http://www.snopes.com/language/apocryph/cambridge.asp</A><img src="/view.aspx?si=154354/scrambledtext.png" alt="Scrambled Text" align="left"/>An urban legend* states that that text is still readable if all the letters in a word are randomized apart from the first and last. This Maple worksheet enables you to explore this urban legend.
<BR><BR>
Just enter some text into the text box and click a button. Can you read the scrambled text!
<BR><BR>
* <A HREF="http://www.snopes.com/language/apocryph/cambridge.asp" TARGET="_blank">http://www.snopes.com/language/apocryph/cambridge.asp</A>154354Wed, 08 Nov 2017 05:00:00 ZSamir KhanSamir KhanReadability of Presidential Addresses
https://www.maplesoft.com/applications/view.aspx?SID=154353&ref=Feed
Takes the last 14 farewell addresses by presidents, and compares the readability scores of each through various methods.<img src="/view.aspx?si=154353/Readability_2.PNG" alt="Readability of Presidential Addresses" align="left"/>Takes the last 14 farewell addresses by presidents, and compares the readability scores of each through various methods.154353Wed, 08 Nov 2017 05:00:00 ZDaniel ChesloDaniel Cheslo2048 Game
https://www.maplesoft.com/applications/view.aspx?SID=154351&ref=Feed
A recreation of the popular 2048 mobile sliding puzzle game. Slide tiles of the same value into each other to add the values. Try and make a 2048 tile!
<BR><BR>
A live, <A HREF="https://maple.cloud/#doc=5765606839156736">interactive version of the 2048 Game</A> application is also available in the MapleCloud.<img src="/view.aspx?si=154351/2048-1.png" alt="2048 Game" align="left"/>A recreation of the popular 2048 mobile sliding puzzle game. Slide tiles of the same value into each other to add the values. Try and make a 2048 tile!
<BR><BR>
A live, <A HREF="https://maple.cloud/#doc=5765606839156736">interactive version of the 2048 Game</A> application is also available in the MapleCloud.154351Thu, 02 Nov 2017 04:00:00 ZDaniel ChesloDaniel ChesloReadability of English Language Text
https://www.maplesoft.com/applications/view.aspx?SID=154352&ref=Feed
This application quantifies the degree of effort or education required to understand a sample of English language text. It returns a range of readability indices, including the:
<UL>
<LI>SMOG Index
<LI>Flesch Reading Ease Test
<LI>Flesch-Kincaid Grade Level Formula
<LI>Automated Readability Index
<LI>Coleman-Liau Readability Index
</UL>
Just paste your text into the box and click the button to get your readability scores.<img src="/view.aspx?si=154352/readability_pic.png" alt="Readability of English Language Text" align="left"/>This application quantifies the degree of effort or education required to understand a sample of English language text. It returns a range of readability indices, including the:
<UL>
<LI>SMOG Index
<LI>Flesch Reading Ease Test
<LI>Flesch-Kincaid Grade Level Formula
<LI>Automated Readability Index
<LI>Coleman-Liau Readability Index
</UL>
Just paste your text into the box and click the button to get your readability scores.154352Thu, 02 Nov 2017 04:00:00 ZSamir KhanSamir KhanMeasuring Financial Risk: The Greeks
https://www.maplesoft.com/applications/view.aspx?SID=153533&ref=Feed
<p>In mathematical finance, The Greeks are measurements of risk that are used to represent the sensitivity of the price of a derivative to underlying variables, such as time-value decay and the implied volatility or price of the underlying asset.<br /><br /></p>
<p>This application calculates the Greeks for a European call or put option using the Black-Scholes model.</p><img src="/view.aspx?si=153533/TheGreeks.png" alt="Measuring Financial Risk: The Greeks" align="left"/><p>In mathematical finance, The Greeks are measurements of risk that are used to represent the sensitivity of the price of a derivative to underlying variables, such as time-value decay and the implied volatility or price of the underlying asset.<br /><br /></p>
<p>This application calculates the Greeks for a European call or put option using the Black-Scholes model.</p>153533Wed, 01 Nov 2017 04:00:00 ZDaniel SkoogDaniel SkoogMultiple integrals over sets defined by inequalities
https://www.maplesoft.com/applications/view.aspx?SID=154350&ref=Feed
The aim of this worksheet is to present a method for computing multiple integrals of a function in n variables over a set defined by inequalities.<img src="/view.aspx?si=154350/nint.png" alt="Multiple integrals over sets defined by inequalities" align="left"/>The aim of this worksheet is to present a method for computing multiple integrals of a function in n variables over a set defined by inequalities.154350Wed, 25 Oct 2017 04:00:00 ZProf. Valeriu AnisiuProf. Valeriu AnisiuThe Carpet of Baron Munchausen
https://www.maplesoft.com/applications/view.aspx?SID=154349&ref=Feed
The floor in the drawing room of Baron Munchausen is paved with identical square stones. The Baron claims that his new carpet (made of a single piece of a material ) covers exactly 24 stones and at the same time, each vertical and each horizontal row of stones in the living room contains exactly 4 stones covered with carpet. This application finds all solutions to this puzzle from the 2001 Russian Mathematical Olympiad.<img src="/view.aspx?si=154349/carpet.JPG" alt="The Carpet of Baron Munchausen" align="left"/>The floor in the drawing room of Baron Munchausen is paved with identical square stones. The Baron claims that his new carpet (made of a single piece of a material ) covers exactly 24 stones and at the same time, each vertical and each horizontal row of stones in the living room contains exactly 4 stones covered with carpet. This application finds all solutions to this puzzle from the 2001 Russian Mathematical Olympiad.154349Mon, 23 Oct 2017 04:00:00 ZYury ZavarovskyYury ZavarovskyPlot of equation impulse-momentum
https://www.maplesoft.com/applications/view.aspx?SID=154347&ref=Feed
In this application you can visualize the impulse generated by a constant and variable force for the interaction of a particle with an object in a state of rest or movement. It is also the calculation of the momentum-momentum equation by entering the mass of the particle to solve initial and final velocities respectively according to the case study. Engineering students can quickly display the calculations and then their interpretation.<img src="/view.aspx?si=154347/mivis.png" alt="Plot of equation impulse-momentum" align="left"/>In this application you can visualize the impulse generated by a constant and variable force for the interaction of a particle with an object in a state of rest or movement. It is also the calculation of the momentum-momentum equation by entering the mass of the particle to solve initial and final velocities respectively according to the case study. Engineering students can quickly display the calculations and then their interpretation.154347Tue, 17 Oct 2017 04:00:00 ZProf. Lenin Araujo CastilloProf. Lenin Araujo CastilloThe Sounds of Nature
https://www.maplesoft.com/applications/view.aspx?SID=154346&ref=Feed
This application takes various sounds throughout nature and displays them as spectrographs. Examples include crickets, a tornado, thunder, hail, a bee, and a purring cat.<img src="/view.aspx?si=154346/spectograph.JPG" alt="The Sounds of Nature" align="left"/>This application takes various sounds throughout nature and displays them as spectrographs. Examples include crickets, a tornado, thunder, hail, a bee, and a purring cat.154346Thu, 12 Oct 2017 04:00:00 ZDaniel ChesloDaniel ChesloMoment of a force using vectors
https://www.maplesoft.com/applications/view.aspx?SID=154345&ref=Feed
The development of the calculation of moments using force vectors is clearly observed by taking a point and also a line. Different exercises are solved with the help of Maple syntax. We can also visualize the vector behavior in the different configurations of the position vector. Applications designed exclusively for engineering students. In Spanish.<img src="/view.aspx?si=154345/moment of force.PNG" alt="Moment of a force using vectors" align="left"/>The development of the calculation of moments using force vectors is clearly observed by taking a point and also a line. Different exercises are solved with the help of Maple syntax. We can also visualize the vector behavior in the different configurations of the position vector. Applications designed exclusively for engineering students. In Spanish.154345Tue, 26 Sep 2017 04:00:00 ZProf. Lenin Araujo CastilloProf. Lenin Araujo CastilloThomson Cross Section
https://www.maplesoft.com/applications/view.aspx?SID=154313&ref=Feed
(A) Calculate the Thomson Cross Section and give its value. (B) Which has the greater cross section: electrons or protons? Why? (C) What effect does wavelength have on Thomson scattering? (D) Calculate the optical depth to Thomson scattering in the warm, neutral (HI) medium of the Galactic ISM, normal to the disk. (E) How might Thomson scattering be used to reveal a hidden active galactic nucleus?<BR><BR>For more information on how to do this problem, and for tables of relevant data, see <A HREF="http://www.canismajor.ca">www.canismajor.ca</A>.<img src="/applications/images/app_image_blank_lg.jpg" alt="Thomson Cross Section" align="left"/>(A) Calculate the Thomson Cross Section and give its value. (B) Which has the greater cross section: electrons or protons? Why? (C) What effect does wavelength have on Thomson scattering? (D) Calculate the optical depth to Thomson scattering in the warm, neutral (HI) medium of the Galactic ISM, normal to the disk. (E) How might Thomson scattering be used to reveal a hidden active galactic nucleus?<BR><BR>For more information on how to do this problem, and for tables of relevant data, see <A HREF="http://www.canismajor.ca">www.canismajor.ca</A>.154313Mon, 25 Sep 2017 04:00:00 ZDr. Robert RoseberryDr. Robert RoseberryDoppler Broadening
https://www.maplesoft.com/applications/view.aspx?SID=154314&ref=Feed
Calculate the Doppler broadening of the iron lines at the surface of the Sun.<BR><BR>For more information on how to do this problem, and for tables of relevant data, see <A HREF="http://www.canismajor.ca">www.canismajor.ca</A>.<img src="/applications/images/app_image_blank_lg.jpg" alt="Doppler Broadening" align="left"/>Calculate the Doppler broadening of the iron lines at the surface of the Sun.<BR><BR>For more information on how to do this problem, and for tables of relevant data, see <A HREF="http://www.canismajor.ca">www.canismajor.ca</A>.154314Mon, 25 Sep 2017 04:00:00 ZDr. Robert RoseberryDr. Robert RoseberryGrey and Eddington Approximations
https://www.maplesoft.com/applications/view.aspx?SID=154318&ref=Feed
Determine the values of Iin and Iout as functions of vertical optical depth (τ), using the Eddington Approximation for a plane-parallel atmosphere. Then find the optical depth at which the radiation field is isotropic to within 5%.<BR><BR>For more information on how to do this problem, and for tables of relevant data, see <A HREF="http://www.canismajor.ca">www.canismajor.ca</A>.<img src="/applications/images/app_image_blank_lg.jpg" alt="Grey and Eddington Approximations" align="left"/>Determine the values of Iin and Iout as functions of vertical optical depth (τ), using the Eddington Approximation for a plane-parallel atmosphere. Then find the optical depth at which the radiation field is isotropic to within 5%.<BR><BR>For more information on how to do this problem, and for tables of relevant data, see <A HREF="http://www.canismajor.ca">www.canismajor.ca</A>.154318Mon, 25 Sep 2017 04:00:00 ZDr. Robert RoseberryDr. Robert RoseberryRadiation From a Plane-Parallel Atmosphere
https://www.maplesoft.com/applications/view.aspx?SID=154319&ref=Feed
Assuming a plane-parallel atmosphere, (1) show that emission lines will appear if
"j[lambda]>>1"
and there is no radiation entering the atmosphere from outside. (2) Further, show that, if radiation enters from below, the relation between specific intensity and source function will determine whether emission or absorption lines are seen.<BR><BR>For more information on how to do this problem, and for tables of relevant data, see <A HREF="http://www.canismajor.ca">www.canismajor.ca</A>.<img src="/applications/images/app_image_blank_lg.jpg" alt="Radiation From a Plane-Parallel Atmosphere" align="left"/>Assuming a plane-parallel atmosphere, (1) show that emission lines will appear if
"j[lambda]>>1"
and there is no radiation entering the atmosphere from outside. (2) Further, show that, if radiation enters from below, the relation between specific intensity and source function will determine whether emission or absorption lines are seen.<BR><BR>For more information on how to do this problem, and for tables of relevant data, see <A HREF="http://www.canismajor.ca">www.canismajor.ca</A>.154319Mon, 25 Sep 2017 04:00:00 ZDr. Robert RoseberryDr. Robert RoseberryDistance to a Cepheid Variable
https://www.maplesoft.com/applications/view.aspx?SID=154321&ref=Feed
Use the given data to calculate the distance to the first Cepheid variable to be discovered, Eta Aquilae.<BR><BR>For more information on how to do this problem, and for tables of relevant data, see <A HREF="http://www.canismajor.ca">www.canismajor.ca</A>.<img src="/applications/images/app_image_blank_lg.jpg" alt="Distance to a Cepheid Variable" align="left"/>Use the given data to calculate the distance to the first Cepheid variable to be discovered, Eta Aquilae.<BR><BR>For more information on how to do this problem, and for tables of relevant data, see <A HREF="http://www.canismajor.ca">www.canismajor.ca</A>.154321Mon, 25 Sep 2017 04:00:00 ZDr. Robert RoseberryDr. Robert RoseberryUsing the Method of Main Sequence Fitting to Estimate the Distance of the Pleiades Open Cluster
https://www.maplesoft.com/applications/view.aspx?SID=154322&ref=Feed
Stars in an open cluster are approximately the same age and at the same distance from the Earth. The method of Main Sequence fitting can, therefore, be used to estimate their distance.<BR><BR>For more information on how to do this problem, and for tables of relevant data, see <A HREF="http://www.canismajor.ca">www.canismajor.ca</A>.<img src="/applications/images/app_image_blank_lg.jpg" alt="Using the Method of Main Sequence Fitting to Estimate the Distance of the Pleiades Open Cluster" align="left"/>Stars in an open cluster are approximately the same age and at the same distance from the Earth. The method of Main Sequence fitting can, therefore, be used to estimate their distance.<BR><BR>For more information on how to do this problem, and for tables of relevant data, see <A HREF="http://www.canismajor.ca">www.canismajor.ca</A>.154322Mon, 25 Sep 2017 04:00:00 ZDr. Robert RoseberryDr. Robert RoseberryCalculating the Distance to a Supernova by the Expanding Photosphere Method
https://www.maplesoft.com/applications/view.aspx?SID=154323&ref=Feed
Use Doppler shifting and the "expanding photosphere method" to calculate the distance to the type II supernova remnant SN 1969L<BR><BR>For more information on how to do this problem, and for tables of relevant data, see <A HREF="http://www.canismajor.ca">www.canismajor.ca</A>.<img src="/applications/images/app_image_blank_lg.jpg" alt="Calculating the Distance to a Supernova by the Expanding Photosphere Method" align="left"/>Use Doppler shifting and the "expanding photosphere method" to calculate the distance to the type II supernova remnant SN 1969L<BR><BR>For more information on how to do this problem, and for tables of relevant data, see <A HREF="http://www.canismajor.ca">www.canismajor.ca</A>.154323Mon, 25 Sep 2017 04:00:00 ZDr. Robert RoseberryDr. Robert Roseberry