Maple Questions and Posts

These are Posts and Questions associated with the product, Maple

The physics package is pretty awesome, but one thing that would be a big help is some functionality for entering and resolving vectors in angle/magnitude format (50 angle 45 degrees, or what have you.) Is there a way to do this?

 

Thanks

 

Joe

Hi, My name is mohammed and I am a P.h.D student . I am a new user with Maple . I had two questions

First one : How can I execute a number of commands by using worksheet or document mode ? can any one  provide me an example?

Second : How can I measure the time for a number of command? can any one provide with syntax of the command?

As maple 18 does not, and I see no information about this topic for 2015 version, besides, I don't have a chance to try the software. So any help would be appreciated.

Hi All,

I am using pds:-animate to show the results of integration of a two function system, u(x,t) and v (x,t). I would like this command uses two different colors for each line but the command "color=[blue, green]" is not working and both lines have the same color (blue).

Some help?

Thanks a lot,

Javier

 

I would like to pay attention to an article by David Austin "The Stable Marriage Problem and School Choice"

Here is its inroduction:

" Every year, 75,000 New York City eighth graders apply for admission to one of the city's 426 public high schools. Until recently, this process asked students to list five schools in order of preference. These lists were sent to the schools, who decided which applicants to accept, wait-list, or reject. The students were then notified of their status and allowed to accept only one offer and one position on a waiting list. After the students had responded to any offers received, schools with unfilled positions made a second round of offers, and this process continued through a concluding third round.

This process had several serious problems. At the end of the third round of offers, nearly half of the students, usually lower-performing students from poor families, had not been accepted into a school. Many of these students waited through the summer only to learn they had been matched with a school that was not on their list of five schools.

This process also encouraged students and their parents to think strategically about the list of schools they submitted. Students that were rejected by the school at the top of their list might find that their second-choice school had no vacancies in the second round of offers. This made it risky for many students to faithfully state their true preferences, a view encouraged by the Education Department's advice that students "determine what your competition is" before creating their lists of preferred schools.

Lastly, schools would often underrepresent their capacity hoping to save positions for students who were unhappy with their initial offerings.

In the end, the process couldn't place many students while it encouraged all parties, both students and schools, to strategically misrepresent themselves in an effort to obtain more desirable outcomes not possible otherwise. Widespread mistrust in the placement process was a natural consequence.

Using ideas described in this column, economists Atila Abdulkadiroglu, Parag Pathak, and Alvin Roth designed a clearinghouse for matching students with high schools, which was first implemented in 2004. This new computerized algorithm places all but about 3000 students each year and results in more students receiving offers from their first-choice schools. As a result, students now submit lists that reflect their true preferences, which provides school officials with public input into the determination of which schools to close or reform. For their part, schools have found that there is no longer an advantage to underrepresenting their capacity.

The key to this new algorithm is the notion of stability, first introduced in a 1962 paper by Gale and Shapley. We say that a matching of students to schools is stable if there is not a student and a school who would prefer to be matched with each other more than their current matches. Gale and Shapley introduced an algorithm, sometimes called deferred acceptance, which is guaranteed to produced a stable matching. Later, Roth showed that when the deferred acceptance algorithm is applied, a student can not gain admittance into a more preferred school by strategically misrepresenting his or her preferences.

This column will present the game-theoretic results contained in the original Gale-Shapley paper along with Roth's subsequent analysis. Pathak calls the deferred acceptance algorithm "one of the great ideas in economics," and Roth and Shapley were awarded the 2012 Nobel Prize in economics for this work"

It would be nice to realize that in Maple.

 

 

Dear,

I have this code generating a piecewise function:

> with(CurveFitting);

> points := [[0, 1], [1, 2.5], [3, 2.3], [4.2, 5], [5, 3.5], [5.8, 4.2], [7, 7], [8, 10]];

> splcurve := Spline(points, v);

In this particular case I have seven distinct polynomials. Someone knows how could I get one specific polynomial, for example, the one exactly before v < 4.2? 

In other terms:

I'd like to define a new function, say 'f', that is exactly the polynomial just before v < 4.2 (e.g, something like f:=(splcurve, v < 4.2)). Do exists this possibility? (I have been looking for it elsewhere but without success!!)

Thanks in advance! Best regards!

 

Knowing that the Taylor series for cos(x) is:
sum := sum+(-1)^i*x^(2*i)/(2*i)!

How would I write the following Maple code?

Generate an animation sequence showing the Taylor series approximation of cos(x) from N=1..10, where N is the number of terms in the series. Each subsequent frame of the animation should show a more accurate representation of cos(x) than the previous one. Plot the animation from x = -2*Pi .. 2*Pi, y = -5 .. 5

Hi,

     I want to know what K1 and K2 means in the answer after using Euler Lagrange command.

     Thanks in advance.

 

I am having some issues trying to convert this matlap code into Maple code, can somebody help me out?

% Solve v'(t)=-0.0207v(t)^2-893.58 with y0=0
clc;
y0 = 0;                  % Initial Condition
h = 0.1;                 % Time step
t = 0:h:5;               % t goes from 0 to 5 seconds.
vstar = zeros(size(t)); % Preallocate array (good coding practice)
vstar(1) = y0;           % Initial condition gives solution at t=0.
for i=1:(length(t)-1)
    k1 = 0.0207*vstar(i)^2-893.58; % Previous approx for y gives approx for derivative
    vstar(i+1) = vstar(i) + k1*h; % Approximate solution for next value of y
end
figure(1)
plot(t,vstar);
y0 = 0;                  % Initial Condition
h = 0.05;                 % Time step
t = 0:h:5;               % t goes from 0 to 5 seconds.
vstar = zeros(size(t)); % Preallocate array (good coding practice)
vstar(1) = y0;           % Initial condition gives solution at t=0.
for i=1:(length(t)-1)
    k1 = 0.0207*vstar(i)^2-893.58; % Previous approx for y gives approx for derivative
    vstar(i+1) = vstar(i) + k1*h; % Approximate solution for next value of y
end
figure(2)
plot(t,vstar);

Hello,

I have a Maple package which is a .mla file.

How can I open it to have access to the source code ?

I would like to open it in order to modify a procedure and to use it indepently of the package.

Thanks a lot for your help.

whenever i use maplesoft, i`m wondering about the instruction which is to show me the explanation about answers.

Maplesofte must be worked by some principles , therefore it can show the explanation of any answers to users

please let me know what is the instruction that i can watch explanations.

 

for example /

> int(f(x)*g(x),x);

sin(x) - x cos(x) - 1/2 cos(x) sin(x) + 1/2 x

 how can it get an answer, i wanna see that

How to simulate a data which is follow by binomial distribution, n=200, p=0.9.

I know normal can be simulated by following code

random[normald[0, 1]](50)

How can I do if I wanted to simulate a class of 30 students rolling a dice 10 times, and you wished to count the number of 3's you observe for each student?

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See What’s New in Maple 2015 for Educators

Maple 2015 is a major new release of Maple, the technical computing software used for education, research, and development involving mathematics, engineering, and the sciences. With Maple 2015, Maplesoft offers important new abilities to both educators and researchers, particularly in the areas of data analysis, application development and statistics education. This webinar will provide a complete overview of these new features, including:

• A new interface to access, work with, and visualize millions of datasets in the areas of finance, economics, and demographics.
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To join us for the live presentation, please click here to register.

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