Applications, Examples and Libraries

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(Presentation in Spain a month ago with a full description of the project and its current status)

A computational environment for Physicists

 

 

"Algebraic manipulations in Physics and related numerical exploration and visualization come together within computer algebra systems"

Project background

   

Three reasons for the underuse of Computer Algebra Systems in Physics

   

The Physics project goals

   

Status of things in Maple 17

   

Examples

   

 

 

Download PhysicsProjectDescri.mw

 


Edgardo S. Cheb-Terrab
Physics, Maplesoft

Greetings to all.

A recent post at math.stackexchange.com asked for good approximations to pi using the nine nonzero digits, the four arithmetic operations and exponentiation. The problem definition definitely suggests a computational solution, which is actually non-trivial because the search space of all legal mathematical expressions over the nine digits and with the aforementioned operations is so huge that it cannot possibly be searched exhaustively.

In a webinar on July 10, 2013, I solved the related rate problem:

Helium is pumped into a spherical balloon at the constant rate of 25 cu ft per min.
At what rate is the surface area of the balloon increasing at the moment when its radius is 8 ft?

A question in the Q&A at the end of the Webinar asked if it were possible to have an animation illustrate the expanding sphere and the rate of change in the surface area thereof. 

Voting is open for the first individual prize to be awarded as part of the Möbius App Challenge.  The winner will receive a MacBook Air! 

Here are the finalist Apps:

In this article I want to discuss the right way to store and build Maple code.

As mentioned in the Introducing the Maple IDE post, over 90 percent of the algorithms built into Maple are implemented using Maple language. The code of the algorithms is stored as Maple Libraries (.mla files).

As

One of the most basic decisions a baseball manager has to make is how to arrange the batting order.  There are many heuristics and models for estimating the productivity of a given order.  My personal favourite is the use of simulation, but by far the most elegant solution from a mathematical perspective uses probability matrices and Markov chains.  An excellent treatment of this topic can be found in Dr. Joel S. Sokol's article,

Some errors in MapleSim Tutorials! While I was working with MapleSim tutorials, I have encountered some problems that the results did not match the answer. I have uploaded the files, that I have worked on, in a zip file to this address (http://www.mediafire.com/download/2pirvfbawyjfa18/MapleSim_Projects.zip). The problems are as follows:

1. Based on video tutorial on this page (

I would like to pay attention to http://www.ams.org/samplings/feature-column/fc-2013-05 .
Comparing the Galileo's calculation 87654/53 with the capacity of Maple, the question arises:
"Are we  cleverer than Galileo Galilei?". I don't know the answer.

Introduction
The purpose of this post is the investigation of the connection between the connectivity of an undirected graph and the numbers of its vertices and edges with help of the GraphTheory package.
The reader is  referred to http://en.wikipedia.org/wiki/Graph_theory and to ?GraphTheory for info.
Let us...

Using the Quandl API, we have created a Quandl library for Maple.  The Quandl library for Maple provides easy access to Quandl’s repository of over 5 million time-series datasets from directly inside Maple, allowing you to utilize Maple’s robust tools for mathematical statistics and data analysis on Quandl’s extensive collection of data.  This library features a similar set of functionalities to the Quandl

 

An intersection in my neighbourhood, currently controlled by a 2-way stop, is under consideration to become a 4-way stop.  This means the traffic that currently has the right-of-way will be required to come to a complete stop, wheras previously they could have coasted down the hill, and accelerated up the other side.   Politics aside, I was curious to explore the following question:

It's interesting that every continuous piecewise linear function can be specified by one explicit equation with absolute values​​. The procedure JoggedLine carries out such conversion.

Formal arguments of the procedure: 

A - a list of the coordinates of the vertices of the polyline or the continuous piecewise linear expression defined on the entire real axis.

B (optional) - a point on the left "tail"...

Hi,

Here an example of integral that Maple 17 cannot calculate (mean of standard Gumbel distribution)

> G:=int(x*exp(-x)*exp(-exp(-x)), x = -infinity .. infinity);

The result is known as the Euler-Mascheroni constant as shown by a numerical computation:

 > evalf(G);

0.5772156649

>  identify(%, extension = [gamma]);

gamma

> evalf(gamma)

0.5772156649

Also, it cannot compute the variance

Dear Colleagues,Surfing the web I found several applications in MatLab, which perform image processing. One of them caught my attention and challenge to reproduce in Maple.I attached the text of the original application and my attempt to play in Maple. I ask you your guidance, support and intervention to reproduce as faithfully as possible the original application. It was impossible on the final image point to the center of the circle and draw.I believe that together we can achieve...

My site of Russian Maple's Center (webmath.exponenta.ru) reached the milestone of 8000000 visits.

Year of foundation - 2000
Now - 8,000 visitors a day.
Since the Maplesoft is not interested in this project, I renamed it.
Current title: Site of Independent Work of students.
I wish you all good luck!

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