MaplePrimes Questions

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Hello, I'm a student in high-school, and i was wondering if it is possible to have multiple people writing in the same document at the same time. It would make groupwork a lot easier if I could do the writing like e.g.: google docs.
-Max  

Hello there, 

I would think that those two expressions are same as long as L::positive, omega::positive, R::positive, but when I tried in Maple, I could not get that result. The following worksheet shows my attempts. Would you please tell me how to get the answer, true, instead of false from the expression comparison?


 

restart:

arctan_expression := arctan(omega*L/R);

arctan(omega*L/R)

(1)

arctan_expression2 := arctan(R, L*omega);

arctan(R, L*omega)

(2)

evalb(arctan_expression = arctan_expression2) assuming L::positive, omega::positive, R::positive;

false

(3)

is(arctan_expression = arctan_expression2);

false

(4)

 


Best Regards, 

In Kwon Park 

Download Q20210308.mw

 

PLs, correct my code about how to find the derivative by using the loop concept in maple?

help_derivative_in_loop.mw

Hi,

I'm using Maple on a linux partition and for some time now I can't really use it anymore. For example, when I open a help window, I can't scroll through the content, and scrolling gets stuck if an image needs to be displayed. I think my partition is too full and does not have enough free space left. Doesn't Maple create a temporary file that is too big for the space available?  But I have another partition that is not in the same format as the linux partition but is nevertheless readable and writable. Is it possible, if the problem is a temporary file, that this file is written to this other partition to avoid this storage problem?
Or could it be due to a memory problem (RAM?) that did not occur before?

Say that we have three matrices X, Z, and A of equal size such that Size(X) = Size(Y) = Size(A) = [10 14].

Here, X[i, j] = X[i + 1, j] and Y[i, j] = Y[i, j + 1], i.e. X and Y are the grid in Matlab notation.

i found that countourplot can provide the contour plot for a bivariate function f(x,y). i was wondering whether this can also be done in Maple for matrices. Any help is highly appreciated – thank you,

Fede

 

 

Hi,

I want to solve this system of PDEs. Please let me know how I can solve it.

Kindly find both my code written in Maple and the image of the problem.

Best,

 

PDE.mw

I needed to normalize the eigenvectors of a matrix. (I did not see an option to do this so far in LinearAlgebra). So I figured I just need to map LinearAlgebra:-VectorNorm(x,'Euclidean')  of each vector of the generated eigenvectors matrix,. Where here means the vector in the matrix. But do not see a way to do it. 

I ended up just using seq, which works fine. But was wondering if there is a way to do it? map function on each column (or each row) and have the result be matrix ofcourse. 

Will show my attempt using map, and then using seq

Sx:=1/sqrt(2)*Matrix([[0,1,0],[1,0,1],[0,1,0]]);
lam,v:=LinearAlgebra:-Eigenvectors(Sx);

Just doing the following does not work ofcourse

map( x->x/LinearAlgebra:-VectorNorm(x,'Euclidean'), v) 

So I used seq

Sx:=1/sqrt(2)*Matrix([[0,1,0],[1,0,1],[0,1,0]]);
lam,v:=LinearAlgebra:-Eigenvectors(Sx);
normalized:=[seq( v(..,i)/LinearAlgebra:-VectorNorm(v(..,i),'Euclidean'),i=1..LinearAlgebra:-RowDimension(v) )];

Will be nice if one can use map or variation of it, which works on either columns or rows at a time.

Maple 2021.2

I am doing some solution for pde :

restart;
with(PDEtools);
with(plots);
alias(u = u(x, y, t), w = w(x, y, t), f = f(w));
pde := diff(u, x, x, x, y) + 3*diff(u, y)*diff(u, x, x) + 3*diff(u, x)*diff(u, x, y) + 2*diff(u, y, t) = 0;
pde2 := subs(u = D(f)(w)*diff(w, x) + u0(x, y, t), pde);

pde3 := expand(pde2);


after this step i want to substitute 
D(f)(w)*D^(3)(f)(w)= (-c/3)*D^(4)(f)(w)

so i apllied command as this :

pde33 := subs({D(f)(w)*(D^(3)(f)(w) = -c/3*(D^(4)(f)(w)}, pde3);

but i not able to replace it !

please help in it ! Thanks!


 

Hi!

I want to import the data included here to my Maple code:

https://www.gw-openscience.org/GW150914data/P150914/fig2-unfiltered-template-reconstruction-H.txt

There are 3 columns of data: time, NR strain, Reconstructed strain. I am not interested in the middle column; I want to plot the reconstructed strain as a function of time. I could use some help.

Cheers!

Two days ago I have answered a question about using numapprox:-infnorm for functions of several variables. The question is now deleted. Is it possible to find whether it was deleted by the author (even if she/he has used the "best answer" tag)?

Dear all

I compute by hand the bifurcation point of an ode, 
I fouded x=-1/2 a+ 1/2 corresponding to  h= (a+1)^2/4  with 0<a<1 

The same solution is obtained using Maple code. 
I tried to plot the birfurcation diagram to stech with kind of bifrucation ( saddle, Holf . transcritical , periodic, or someting else)
But I get 
Error, (in plots/implicitplot) invalid input: invalid range for first variable

bifurcation_diagram.mw

thank you for any help 

 

 
While solving a math problem, one has to deal with a system of 25 linear equations with a parameter s (Laplace transform variable). i tried formulating the system in a matrix form using GenerateMatrix and inverting the system using solve with LU or QR method but without success. i attach a minimal working environment for the system of equations at hand. Any help or advice is highly appreciated – thank you!
 

PDE:

(a+b)*(uxx+vxy)+c*laplacian(u)=0

 

(a+b)*(vxy+vyy)+c*laplacian(v)=0

 

a,b,c=const.  Initial:u=1/2*sin(2*theta),v=cos(theta)

 

Text book says: Solve by complex variable method

Dear all

I have a PDEs depend on u1(r,z) 
I would like to decompose u1 as sum of two function c1*r*U(z)+u(r,z) and  , where c1 is constant,  then i would like to substitute u1 in the pde by   c1*r*U(z)+u(r,z) then obtain the corresponding new equation

subs_function.mw

thank you 

Is there a way to make a library file that automatically has the functions/procedures loaded on startup and after it any new or open ".mw" can use functions/procedures from library with no redefinition?

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