Hi everyone,

I am trying to plot the standard map equations which is defined by

p_{n+1}=p_{n}+k sin x_{n}  (mod 2pi)
x_{n+1}=x_{n}+p_{n}+k sin x_{n} (mod 2pi).

Is there is any simple code for plotting this map in Maple? 

Thank you in advance.

I would like to publish a technical paper about a renewable energy with you. I use Maple 2016. What i need?. Thanks!

Hello again,

I had to download an add-on package to make this graph in the first place, so it might not be possible to help me.
Additionally, I have no idea how to translate "sumkurve" from my native language (danish) to English, which is also why I had to download the add-on package in the first place....

As you can see in the picture below, I have a table at the top, with a matrix underneath, then with the "plotSumkurve(A)" I got this beautiful graph that also shows the quartiles (kvartiler).

But what if I wanted to find the Y value that corresponds to X=12, any idea on how to do this would be great appreciated.

With gratitude,
Toby

#first_question :how can i solve set of nonlinear ODEs,faster or using any packages ?
#second_question :what can be some boundary conditions for this type of nonlinear ODEs? how many BCs are required for this set of nonlinear ODEs? ( to use numeric solution)

Download nonlinear_ODE.mw

I would like to have my calculus results in its simplified form; below are some of the scenarios that can explain this.

As you can see the results are much simplified and in reduced form compared to what Maple gives. This has been tested for all integrals with roots and integrals with trigonometry functions. Is there any workaround in Maple that I would use to get it like the textbook result.

Thanks

As I work a lot with lists (need to merge them frequently), I would like to redefine the `union` operator in such a way that it will merge two lists together. It would makes thing more efficient than writing 

list1 := [a,b,c];
list2 := [d,e,f];

newlist = [op(list1), op(list2)];

I've already tried

`&union` := proc(list1, list2)
  [op(list1), op(list2)];
end proc:

[a,b,c] &union [d,e,f]

but it's not what I'm looking for. In fact I could have used any name after the `&`... and really don't like having to type the & at the beginning (is there a way to define an infix operator without having to use the `&`?)

Maybe creating a module to override  the original definition?

my_module := module()
  export `union`:

  `union` := proc(foo,bar)
      if some_trigger then
         # return something
      else
         # use global `union` definition
      end if
   end proc:

end module;

Any suggestion?

P.S.

- I generally don't use the original set union operator, so redefining it is not an issue;

- I have to use lists 

It seems a large number of people, when initially using maple, wrongly deduce that for example sin(60) is the sin of 60 degrees and not the sin of 1/3 Pi radians.  I believe mathematica's default is degrees.  When a student compares an expression to another but forgets to realize a value is read as radians and not degrees they are perplexed when Maple returns false and Mathematica returns true.

As a suggestion, under tools->options allow a user to be able to change how maple reads values within trigonometric funtions as either radians or degrees.

Most times when someone computes the sin(60) what they really mean in Maple..
is sin(convert(60 degrees, radians))

Hello,

I am not sure how exactly to word my question, so forgive the mess ahead.

Say I have two points, A and B, and I want to make them variables in Maple so whener I refer to A, it refers to the point A.

Currenty what I do, is I write the line "A:=(x,y,z)" enter and then the same for B, but what I would like to do, is maybe write both the variables in one statement - something like "A,B:=(x,y,z),(x,y,z)", so when I am solving problems with 5-10 different points, I won't be filling up 1-2 pages with statements on variables and their values.

I am assuming this is a possiblity, but I haven't been able to find anything on-the-line that could show me how to...

Example picture - where A and B should have had been in the same statement, so when I find the vector between them it'll still give the correct answer.

Any help is appreciated here :)

With gratitude:
Toby

What method is implemented in the procedure int with option numeric? Does the method depend on the integrand? Where can I find this information? 

plot3d of procedure Sievert correctly displays the constant curvature Sievert surface, but the procedure uses the deprecated command evalm.

What Maple 2016 statement(s) would create the same value of X in Sievert?

Sievert := proc (B)

local a, b, denom, m, X;

a := sinh(B)*u; b := cosh(B)*v;

denom := sinh(B)*((cosh(2*a)-cos(2*b))*cosh(2*B)+2+cosh(2*a)+cos(2*b));

m := cosh(B)*[sinh(a), sin(b)*cos(v), sin(b)*sin(v)]+[0, -cos(b)*sin(v), cos(b)*cos(v)];

X := evalm([u, 0, 0]-8*cosh(B)*cosh(a)*m/denom);

end proc:

plot3d(Sievert(.75), u = -2.5 .. 2.5, v = -10.5 .. 10.5, scaling = constrained, grid = [30, 100], style = patch, shading = xy, lightmodel = light3, orientation = [-3, 140], title = "Sievert's surface", titlefont = [Courier, bold, 14]);

Can any one help me with an example of how to use module in embedded components where a (action:-
 

Download ModuleExample.mwModuleExample.mw

get command is used)?

I attach a module i made for edit and comment.

Thanks.

Ramakrishnan V

Why doesn't Maple provide enough white space when user reaches end of document ? As you can see below, I have reached almost to the end of the page. I believe the default process would be to bring the cursor to eye-level (middle of the screen). Now in this case, I have to hit RETURN enough times to bring the cursor to my eye level.

Anyone else find this as an issue ?

I'm back from presenting work in the "23rd Conference on Applications of Computer Algebra -2017" . It was a very interesting event. This fifth presentation, about "The Appell doubly hypergeometric functions", describes a very recent project I've been working at Maple, i.e. the very first complete computational implementation of the Appell doubly hypergeometric functions. This work appeared in Maple 2017. These functions have a tremendous potential in that, at the same time, they have a myriad of properties, and include as particular cases most of the existing mathematical language, and so they have obvious applications in integration, differential equations, and applied mathematics all around. I think these will be the functions of this XXI century, analogously to what happened with hypergeometric functions in the previous century.

At the end, there is a link to the presentation worksheet, with which one could open the sections and reproduce the presentation examples.
 

Download Appell_Functions.mw   
Download Appell_Functions.pdf

Edgardo S. Cheb-Terrab
Physics, Differential Equations and Mathematical Functions, Maplesoft

I'm back from presenting work in the "23rd Conference on Applications of Computer Algebra -2017" . It was a very interesting event. This fourth presentation, about "The FunctionAdvisor: extending information on mathematical functions with computer algebra algorithms", describes the FunctionAdvisor project at Maple, a project I started working during 1998, where the key idea I am trying to explore is that we do not need to collect a gazillion of formulas but just core blocks of mathematical information surrounded by clouds of algorithms able to derive extended information from them. In this sense this is also unique piece of software: it can derive properties for rather general algebraic expressions, not just well known tabulated functions. The examples illustrate the idea.

At the end, there is a link to the presentation worksheet, with which one could open the sections and reproduce the presentation examples.
 

Download FunctionAdvisor.mw

Download FunctionAdvisor.pdf

Edgardo S. Cheb-Terrab
Physics, Differential Equations and Mathematical Functions, Maplesoft

I'm back from presenting work in the "23rd Conference on Applications of Computer Algebra -2017" . It was a very interesting event. This third presentation, about "Computer Algebra in Theoretical Physics", describes the Physics project at Maplesoft, also my first research project at University, that evolved into the now well-known Maple Physics package. This is a unique piece of software and perhaps the project I most enjoy working.

At the end, there is a link to the presentation worksheet, with which one could open the sections and reproduce the presentation examples.
 

Download Physics.mw

Download Physics.pdf

Edgardo S. Cheb-Terrab
Physics, Differential Equations and Mathematical Functions, Maplesoft