I don't know what that line above the question is. Thanks in Advance.

Hello everyone,

I'm quite new to Maple Flow and I really like it. However, since the 2024.2 update, Flow sometimes does not let me save a worksheet. Just nothing happens when I click Save or Save As or press Ctrl+S. Same thing when I click "Yes" in the dialogue (which asks me if I want to save the changes) after I close the worksheet.

As a workaround in these cases, I copy the whole content of the worksheet, close Flow altogether and open a new worksheet into which I paste the previously copied contents. Am I the only one experiencing this behaviour? Am I doing something wrong?

Download 1.3-Complex_Numbers_bad.mw

I'm trying to get my problems in standard form  a + bi . Questions 19 - 22 are wrong.

How can I display the symbol (blue solid circle) and the line (blue line) together in the legend box (( from   to ))?

Download Plot1.mw

As a Maple beginner, I am now interested in symbolic calculations in Maple. As before, I set a problem from a subject area that interests me in order to learn from professional answers.

Determine all regular square (n;n) matrices (determinant not equal to zero) that are commutable with every regular (n;n) matrix with respect to matrix multiplication.

(I know the solution from long ago.)

Example code

printlevel :=1     

for indx1 from 1 by 1 to  3  do  

f[indx1] :=indx1;  

 end do;

This prints
f₁:=1
f₂:=2
f₃:=3

How do I use the "save" command to save exactly the loop's results above to a file so that I can read the file later and execute it in another  maple worksheet.

The maple manual https://www.maplesoft.com/support/help/Maple/view.aspx? 

for "save"   contains no examples, and definately not how to save results of a loop using the save command. e.g. how do you append  with a file using the "save" command ?

Note: I dont need any help with reading the results, from the saved file, my question is only about writing the results with "save" command. The "save" command gives me the best results for reading files back into a speadsheet, and text file save routines just gives me ascii garbage and not the exact results in executable maple format as "save" does, saving exacltly what you see on screen. Therefore text save routines are useless to me.

I have a file TEST.m. How can I make it so that every time I start Maple, all the subprograms in the TEST.m file will run first? Then I just need to type the function with(TEST): sumpro(2,3,4) to get the result 9. I copied the TEST.m file into Maple's lib directory, but it doesn't run after starting Maple.

I just need to type sumvip(2, 3, 4) to get the result, but Maple doesn't understand it.

Please help.

Download TEST.mw

2024-12-20_Q_simplification_Question.mw
Solve the general cubic. Apply values and simplify. 

Could someone show how Maple simplifies to the value of X=3? I tried doing it manually and I could not figure it out. 

Also is there a Help assistant to see the setps?

Download 2024-12-20_Q_simplification_Question.mw

In the decimal system, we are looking for all natural numbers with at most six digits that only swap the order of the digits when multiplied by 2, 3, ..., 6.

In a plane, equilateral triangles D(i) with side lengths a(i)= 2*i−1, i = 1; 2; 3; ... are arranged along a straight line g in such a way that the "right" corner point of triangle D(k) coincides with the "left" corner point of triangle D(k+1) and that the third corner points all lie in the same half-plane generated by g. Determine the curve/function on which the third corner points lie!

Good afternoon.

I have a differential equation of non-integer degree and would like to know if it is possible to express a solution in terms of elementary or special-functions for certain values of the exponent, n>0.

For this equation, Maple provides an analytical solution for the exponent values n=0 and n=1, otherwise, there is no solution returned. I am particularly interested in the cases where n=1/2, 3/2, 2, 5/2, and 3

I am hoping that someone can help me resolve this - if a closed-form solution is not possible, then a numerical solution would also be welcome.

I have provided the details in the attached worksheet.

Thanks for reading!

MaplePrimes_Dec_19.mw

Given the center x1 of a circle in R^2 with radius d12, and a point p2 on the circle, so that d12=||p2-x1||, denote the points on the line segment from x1 to p2 as x1(t) = x1+t*v12, with t=0..d12, and v12 =( p2-x1)/d12.  I want to animate the points x1(t) moving along the line segment from x1 to p2 and the corresponding circles of decreasing radius, with center x(t) and radius d12-t, so that p2 remains on the circle.

I can animate the points along the line segment from x1 to p2 using ‘style=point, symbol=solidcircle’.

I would like to use plottools-circle, to plot the circles. I have also tried the following type commands for the circles of decreasing radius.

Plot([x1(1)+t*v12(1)+(d12-t)*cos(theta)*v12(1)+ (d12-t)*sin(theta)*u12(1), x1(2)+ +t*v12(2)+(d12-t)*d12*cos(theta)*v12(2)+(d12-t)*sin(theta)*u12(2), theta=0..2*PI]

where u12 is a unit vector orthogonal to v12.

I have not been able to combine the two plots into an animation. Thank you

On considère une ellipse x^2/a^2+y^2/b^2-1=0 et 2 sommets de cette ellipse A(a,0) et B(0,b). On imagine une hyperbole équilatère variable passant par les points O, A et B. Cette courbe rencontre l'ellipse en 2 autres points A1 et B1. Montrer que la droite A1B1 passe par un point fixe. Même avec l'intelligence artificielle, je ne parviens pas à résoudre ce problème. Pourriez-vous d'aider. Merci.

Machine translation by moderator:

We consider an ellipse x^2/a^2+y^2/b^2-1=0 and 2 vertices of this ellipse A(a,0) and B(0,b). We imagine a variable equilateral hyperbola passing through the points O, A and B. This curve meets the ellipse at 2 other points A1 and B1. Show that the line A1B1 passes through a fixed point. Even with artificial intelligence, I can't solve this problem. Could you help. Thank you.

I have this system

eq1 := diff(x(t), t)-(1/6)*(6*x(t)^3*y(t)+(2*y(t)^2-2)*x(t)^2+3*y(t)*(z(t)-2)*x(t)-2*y(t)^2+2)*sqrt(3) = 0;
                         
eq2 := diff(y(t), t)-(1/6)*(y(t)-1)*sqrt(3)*(y(t)+1)*(6*x(t)^2+2*y(t)*x(t)+3*z(t)-2) = 0;
                                    
eq3 := diff(z(t), t)-(1/3)*z(t)*sqrt(3)*(6*y(t)*x(t)^2+2*x(t)*y(t)^2+3*z(t)*y(t)-2*x(t)-3*y(t)) = 0;

I solved it numerically using these ics

ics := x(0) = -0.01, y(0) = .99, z(0) = 0.01

sol1 := dsolve({ics, op(syst)}, {x(t), y(t), z(t)}, type = numeric, output = listprocedure)

I need to use the x(t), y(t), z(t) as follows
  X :=  eval(x(t), sol1)
  Y :=  eval(y(t), sol1)

Z :=  eval(z(t), sol1)

to solve the following system for P(t), Q(t), R(t) numerically 
eq4 := diff(R(t), t)-P(t)*Z-(-2*(-Y^2+2)*X/sqrt(3)+sqrt(3)*(-2*X^2+Z+4/3)*Y)*R(t) = 0;
eq5 := diff(Q(t), t)-(2/3)*R(t)+2*((1/3)*Y+X)*P(t)/sqrt(3)-(-2*(-Y^2+2)*X/sqrt(3)+2*sqrt(3)*(X^2-(1/2)*Z-2/3)*X)*Q(t) = 0;
eq6 := diff(P(t), t)+(1/2)*R(t)+2*sqrt(3)*X*Q(t)+(2*(-Y^2+2)*X/sqrt(3)+sqrt(3)*(-2*X^2+Z+1)*Y)*P(t) = 0;

Any help please?