Maple Questions and Posts

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I make the equations p0 and p1 equal to find y, and use the solve function, but always remind me of the following errors. How can I figure out y? Q in the formula is equivalent to a constant. Thank you for your answer!

Here is my program:

question.mw

I was just going through Chapter 4 - Basic Computations from the User Manual. I have a worksheet in Documenet mode where I put in the commands I see as I go through the Chapter.

I reached the part about using solve. I didn't know it was so easy to use the context menu to do things like solve numerically, use solve, etc. I typed in the equation x^3+2x-9=0 and tried a few of these options for solve. Many gave the answer 1.762496376, which is the real root.

Now, eventually, I wanted to see the two additional complex roots. But I never did.

Then I simply added a new line to the worksheet, copied over the equation, and tried the option solve directly. Now I see three solutions.

Next, I added yet another line and executed solve(x^3+2x-9=0) and got three solutions again.

What I don't understand is why the first line, even now, doesn't ever return the three solutions. I choose solve from the menu but it only returns the real root 1.762496376. 

Here is the exact worksheet I am using: 4_-_Basic_Computations.mw

There is a text in bold that says Solving Equations and Inequations and the problematic command is on the line after that. 

(once again, I was not able to insert the worksheet contents here, would also like to know why this never works for me).

I open the command-line of maple 2022, and I can run the code alone. But when I save it in a text named ``6conn.txt", I don't know how to run it.

with(GraphTheory):
g:=Graph({{0 ,1},{3 ,4},{4 ,1},{1 ,3},{3 ,0},{0 ,4},
{2 ,1},{4 ,5},{4 ,2},{3 ,6},{4 ,6},{6 ,5},{1 ,6},{6 ,2},
{5 ,0},{0 ,2},{2 ,5},{7 ,8},{12 ,10},{10 ,11},{11 ,8},{8 ,10},
{10 ,7},{7 ,11},{9 ,8},{11 ,12},{11 ,9},{10 ,13},
{11 ,13},{13 ,12},{8 ,13},{13 ,9},{12 ,7},{7 ,9},{9 ,12},
{8 ,2},{13 ,0},{10 ,5},{12 ,3},{1 ,9},{7 ,6}
});

I tried  .\E:\\6conn.txt or !E:\\6conn.txt. Neither seems to work.

6conn.txt

I have plotted in the same display a pointplot and a constant (a horizontal line)..

The worksheet is:

restart;
with(plots);
plot1 := plots[pointplot]([seq([r, 1 - combinat[numbperm](180000, r)/180000^r], r = 1 .. 1000)]);

plot2 := plot(0.25, r = 1 .. 1000);
display({plot1, plot2}, axes = boxed);


How do I solve for when the constant plot2 is less than plot1? I know at r=323 it goes above the threshold, but I don't know how to show this in an expression in Maple, and I've looked for several hours now, both Google search and on Maplesoft with no luck.

I have seen several examples of using Maple to numerically solve a PDE, but I'm looking for a "symbolic" method.

Very basic exampl - I have a system of differential equations with two state variables [x1 and x2] like so:
 
x1_prime = x2 + u*x1 + dH/dx1      <--- dH/dx1 is the partial deriv of H wrt x1
x2_prime = x1 + dH/dx2                 <--- dH/dx2 is the partial deriv of H wrt x2
 
H is the energy function that I'm trying to find.
--> I know the partial derivatives of the function H (from above), but I don't know what H itself is. Is there a Maple function or example that will help me find H symbollically?

If I type seq(i,i=1..1000) <enter> I get a large output.

Then when I type

for i from 1 to 5 do
  i;
end do;

It takes Maple 8 seconds to complete the job.  Is this normal when using Windows 7?

Did Maple just end the links to older maple manuals? 

I can't locate the link to find older maple manuals on the maplesoft website.  Did it get moved?  I can't find it.  Does anyone have a link?

Hello Everybody

My name is Emmanuel and i live in Paris, France. I work in insurance and i am an actuary. 

I am a new maple user because i wanted to have some fun redoing some mathematics. (I studied mathematic 30 years ago).

I would like to develop an animation with epicyles to draw something. 

(there is a famous one on youtube with homer simpson)

My idea is to embed an image with a simple drawing, get the coordonate from the points and apply a complex fourier transfor to get the parameters and make an animation.

I found the way to make the animation, to emben the image. .But i cant find how to get a maxtrix or a vector (i dont know what is the best ) of the coordinate of the point of the drawing. Does any of you have an idea to do it ? 

Thanks a lot

with(Optimization):
expr_optimize := fSW__Ratio_Tol[XU5]*f_ratio__SpreadSpectrum[XU5]*(R34^2*k1__RT[XU5] + R34*k2__RT[XU5] + k3__RT[XU5])/R34^2;
seqUnknownRanges := R34 = 5.640*10^4*Unit('Omega') .. 6.160*10^4*Unit('Omega'), k1__RT[XU5] = 4.054*10^4*Unit(1/('s')) .. 4.054*10^4*Unit(1/('s')), k2__RT[XU5] = 1.593*10^11*Unit(1/('F')) .. 1.593*10^11*Unit(1/('F')), k3__RT[XU5] = -2.645*10^15*Unit('m'^4*'kg'^2/('s'^7*'A'^4)) .. -2.645*10^15*Unit('m'^4*'kg'^2/('s'^7*'A'^4)), fSW__Ratio_Tol[XU5] = 0.950 .. 1.050, f_ratio__SpreadSpectrum[XU5] = 1 .. 1.250;
NLPSolve(expr_optimize, seqUnknownRanges, 'useunits', 'method' = 'modifiednewton', 'optimalitytolerance' = 0.101);

NLPSolve returns this message "Warning, convergence is not assured; examine Hessian values, or consider raising tolerance"

How can I capture this message in a procedure and take appropriate action?

It is easy to simplify the following expression (to 4), but maple's ceil function does not seem to be interested in simplifying it.

where n is greater than or equal to 4. 

simplify(ceil((3*n-8)/(n-3))) assuming n>=4, n::positive # As-is output

We have to rewrite "(3*n-8)/(n-3)" in this form "3 + 1/(n - 3)" to recognize.

simplify(ceil(3 + 1/(n - 3))) assuming  n>=4, n::positive

4

  • My first question is: How to transform (3*n-8)/(n-3) into 3 + 1/(n - 3) by maple?
  • My second question: Can we see the steps of execution of the simplification involving  ceil)?

I am trying to generate c code for a LinearAlgebra test problem using Maple:

But the output cannot be used due to the warning:

Warning, the function names {KroneckerProduct} are not recognized in the target language

The proposed code looks like:

How to resolve of this ODE System Error, the proble is "Error, (in dsolve/numeric/process_input) input system must be an ODE system, got independent variables {t, [S, E, In, R]}

Download TKO.mw

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