Hi,

I try to build a random plot like this

but i have errors in my code

ideas ?

Thanks

QTrigo.mw

In the paper of Nail H. Ibragimov there is operator Euler-Lagrange operator. How I can use this operator in Maple to derive adjoint equations? I can your help. I need maple worksheet for this.

I wanted to define a set of all positive integer powers of 2, and I could determine whether a number is contained in the set.

When a set is a finite set and there are not many elements, it's not hard to do. We can form the set first and then determine whether the elements are included or not.

true

false

Because the set of all positive integer powers of 2 is an infinite set, or rather a countable set. I thought of using the positive type to define it.

[false, true, false]

Interestingly, we find that the type of judgment condition is a function, whereas positive(or integer) are symbols.

function

symbol

symbol

So my question is how does Maple define integer types or positive integers or even real numbers? In other words if I don't use the positive integer type for the above question, can I define the set of all positive integer powers of 2.

Hi!

I have created a procedure for the so-called "Chaos Game" for the generation of Fractals. The file is the following:

Fractals_ChaosGame.mw

On the other hand, for a given day set D:={(x0,y0,(x1,y1),...., (xN,yN)}, for simplicity we assume D is contained in [0,1]x[0,1], one can to construct an "Iterated Functions System" such that its attractor set contains the set D. A detailed exposition of this topic can be found in the famous Barnsley's book "Fractals Everywhere". Also, in the following paper (sections 2.5 and 4-A):

https://arxiv.org/pdf/2102.09855.pdf

I have tried to implement in Maple 17 a procedure to create such Iterated Function System:

IFF_v2.mw

But, I feel that there is something wrong...After plot (with the Chaos Game procedure) a lot of points of the Iterated Functions System (i.e., an approximation of its attractor set), I have a "set of points", instead of a figure similar to a curve (which I feel that must be the correct).

Please, Somebody can have a look to the attached files?

Many thanks in advance for your comments.

Dear Sirs, 
I was with my students today, and attempting to do a Math Maple exercise. The assignment contained the requirement to plot three graphs in one plot f,g,h. Those with windows pc and maple were able use the proper command. 

plot({f(x),g(x),h(x)}) or plot([f(x),g(x),h(x)])  however some of those with MacOS would inside Maple 2021 get an error which said "GNU compiler not found", when using the same command. For those there was no other way (that I knew off) than to do a 

p1:=plot(f(x)): 

p2:=plot(g(x)): 

p3:=plot(h(x)):

and then plots:-display([f(x),g(x),h(x)]):  which work.

But why the MacOS error ? Any idea?

I have a printed book copy of Derek Richards' book, Advanced Mathematical Methods With Maple and would like to get the solutions to the problems in the book. Unfortunately the web download is no longer available. I have not been able to locate a copy or to contact Derek Richards directly. 

Can anyone please help?

Thanks

Joe Ladish

Hi! Do you know how can we make more transparent code for this animation plot? I want something similar to this but only for one spot:

my code:

restart;
with(plots);
with(plottools);
display(plot([cos(x), sin(2*x), x = 0 .. 2*Pi]), animate(pointplot, [[[cos(a), 0], [0, sin(2*a)], [cos(a), sin(2*a)]], color = [red, green, green], symbolsize = 23, symbol = solidcircle], a = 0 .. 2*Pi, frames = 100), animate(plot, [[[cos(a), 0], [cos(a), sin(2*a)]], color = red, thickness = 3], a = 0 .. 2*Pi, frames = 100), animate(plot, [[[0, sin(2*a)], [cos(a), sin(2*a)]], color = green, thickness = 3], a = 0 .. 2*Pi, frames = 100), implicitplot(x = cos(t), x = -1 .. 1, t = 0 .. 2*Pi), animate(plot, [[[0, a], [cos(a), a]], color = green, thickness = 3], a = 0 .. 2*Pi, frames = 100), animate(pointplot, [[[0, a], [cos(a), a]], color = green, symbolsize = 23, symbol = solidcircle], a = 0 .. 2*Pi, frames = 100), implicitplot(y = sin(2*t), t = 0 .. 2*Pi, y = -1 .. 1), animate(plot, [[[a, 0], [a, sin(2*a)]], color = red, thickness = 3], a = 0 .. 2*Pi, frames = 100), animate(pointplot, [[[a, 0], [a, sin(2*a)]], color = red, symbolsize = 23, symbol = solidcircle], a = 0 .. 2*Pi, frames = 100), animate(plot, [[[cos(a), sin(2*a)], [a, sin(2*a)]], linestyle = dash, color = red, thickness = 3], a = 0 .. 2*Pi, frames = 100), animate(plot, [[[cos(a), sin(2*a)], [cos(a), a]], linestyle = dash, color = green, thickness = 3], a = 0 .. 2*Pi, frames = 100));
 

Maybe some expert can help me with this.

I am trying to improve oeis.org/A156104. It is pairs of prime numbers p and p+36.
According to the k-tuple conjecture, this should be potentially an infinite list. I want to make the database .b file larger - from 1,000 to 10,000.

The virtual clipboard was too large to copy to notepad.  I could not figure out how to write this to a file.  I tried fopen() and fclose().

See my efforts

pairs_p_and_p+36_2.mw

pairs_p_and_p+36_2.pdf

Let me know.

Matt

restart;
with(Physics);
with(Physics[Vectors]);
with(geom3d);
with(LinearAlgebra);
with(ColorTools);
with(plots);

When I define a vector with Physics[Vectors] as:

a1 := a/2*(0*_i + _j + _k)

Maple returns:

a1:= a/2*(_j + _k)

Which is fine but if you try to take the cross product it won't work because the command expects a vector in R3 but interprets a1 as a vector in R2.

How do I ensure Physics[Vectors] understands a1 is a vector in R3

zero_component_problem.mw

The worksheet below contains an example of the tiling of the hyperbolic plane.

I would like to produce this and other hyperbolic plane tilings from Maple worksheets, but I don't know the math technique for doing so.

Please direct me to a source of the requisite knowledge or an example worksheet which I can study and imitate.

Hyperbolic_Plane_Tiling.mw

On virtually any webpage is a mixture of images and text. I can go to the page, select all contents, copy the contents into an Excel spreadsheet, save the spreadsheet file and then use the ExcelTools:-Import function to read the file into a DataFrame. At that point, I can work with the data.   All the text on the webpage, even if it is embedded in some HTML command, is copied as text into the spreadsheet which eventually can be read as text by Maple.

My quesiton is, what is the method for me to bypass Excel and import the webpage directly into Maple, striped of the HTML code? Can someone point me to an example? (The only examples I have seen use the Sockets package, but I thought this mode has been superceded with Import.)